How to solve the problems​

How To Solve The Problems

Answers

Answer 1

Answer:

1. 79°

2. 54°

3. 107.5°

4. 44°, 35 cm

5. 76°, 3.5 cm

6. m∠U=36°, m∠M=m∠D=72°,  MD=8.6 cm

7. 78°, 93 cm

8. 81°, 75 cm

Step-by-step explanation:

1. The diagram shows an isosceles triangle because TH = OT. Angles adjacent to the base OH of isosceles triangle are congruent, so

[tex]m\angle H=m\angle O[/tex]

The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle H+m\angle O+m\angle T=180^{\circ}\\ \\2m\angle H+22^{\circ}=180^{\circ}\\ \\2m\angle H=180^{\circ}-22^{\circ}\\ \\2m\angle H=158^{\circ}\\ \\m\angle H=79^{\circ}[/tex]

2. The diagram shows an isosceles triangle DGO because DG = GO. Angles adjacent to the base DO of isosceles triangle are congruent, so

[tex]m\angle D=m\angle O=63^{\circ}[/tex]

The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle D+m\angle O+m\angle G=180^{\circ}\\ \\63^{\circ}+63^{\circ}+m\angle G=180^{\circ}\\ \\m\angle G=180^{\circ}-63^{\circ}-63^{\circ}\\ \\m\angle G=54^{\circ}[/tex]

3. The diagram shows an isosceles triangle SLO because LO = SO. Angles adjacent to the base SL of isosceles triangle are congruent, so

[tex]m\angle S=m\angle L[/tex]

The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle S+m\angle L+m\angle O=180^{\circ}\\ \\2m\angle L+35^{\circ}=180^{\circ}\\ \\2m\angle L=180^{\circ}-35^{\circ}\\ \\2m\angle L=145^{\circ}\\ \\m\angle L=72.5^{\circ}[/tex]

Angles OLE and L (SLO) are supplementary (add up to 180°), so

[tex]m\angle OLE=180^{\circ}-m\angle L\\ \\m\angle OLE=180^{\circ}-72.5^{\circ}\\ \\m\angle OLE=107.5^{\circ}[/tex]

4. The diagram shows an isosceles triangle AMR because [tex]m\angle A=m\angle M=68^{\circ}[/tex] (angles adjacent to the side AM are congruent, so triangle AMR is isoseceles).

The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle A+m\angle M+m\angle R=180^{\circ}\\ \\m\angle R+2\cdot 68^{\circ}=180^{\circ}\\ \\m\angle R=180^{\circ}-2\cdot 68^{\circ}\\ \\m\angle R=44^{\circ}[/tex]

To legs in isosceles triangle are always congruent, so

[tex]RM=AR=35\ cm[/tex]

5. The diagram shows isosceles triangle RYD because YD = RD. Angles adjacent to the base RY are congruent, so

[tex]m\angle R=m\angle Y[/tex]

The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle R+m\angle Y+m\angle D=180^{\circ}\\ \\2m\angle Y+28^{\circ}=180^{\circ}\\ \\2m\angle Y=180^{\circ}-28^{\circ}\\ \\2m\angle Y=152^{\circ}\\ \\m\angle Y=76^{\circ}[/tex]

To legs in isosceles triangle are always congruent, so

[tex]YD=RD=3.5\ cm[/tex]

6. The diagram shows an isosceles triangle UMD because UM = UD. Angles adjacent to the base MD of isosceles triangle are congruent, so

[tex]m\angle D=m\angle M=72^{\circ}[/tex]

The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle D+m\angle M+m\angle U=180^{\circ}\\ \\72^{\circ}+72^{\circ}+m\angle U=180^{\circ}\\ \\m\angle U=180^{\circ}-72^{\circ}-72^{\circ}\\ \\m\angle U=36^{\circ}[/tex]

To legs in isosceles triangle are always congruent, so

[tex]UM=UD=14\ cm[/tex]

The perimeter of isosceles triangle MUD is 36.6 cm, so

[tex]UM+MD+UD=36.6\\ \\MD=36.6-14-14\\ \\MD=8.6\ cm[/tex]

7. The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle T+m\angle S+m\angle B=180^{\circ}\\ \\m\angle T+78^{\circ}+24^{\circ}=180^{\circ}\\ \\m\angle T=180^{\circ}-78^{\circ}-24^{\circ}\\ \\m\angle T=78^{\circ}[/tex]

Triangle STB is isosceles triangle because [tex]m\angle S=m\angle T=78^{\circ}[/tex] (angles adjacent to the side ST are congruent, so triangle STB is isoseceles).

To legs in isosceles triangle are always congruent, so

[tex]SB=TB\\ \\y+22.5=38.5\\ \\y=38.5-22.5\\ \\y=16[/tex]

Hence,

[tex]ST=16\ cm\\ \\TB=SB=38.5\ cm[/tex]

and the perimeter of triangle STB is

[tex]P_{STB}=16+38.5+38.5=93\ cm[/tex]

8. The diagram shows isosceles triangle CNB because CN = CB. Angles adjacent to the base RY are congruent, so

[tex]m\angle N=m\angle B[/tex]

The sum of the measures of all interior angles is always 180°, thus

[tex]m\angle N+m\angle B+m\angle C=180^{\circ}\\ \\2m\angle N+18^{\circ}=180^{\circ}\\ \\2m\angle N=180^{\circ}-18^{\circ}\\ \\2m\angle N=162^{\circ}\\ \\m\angle N=81^{\circ}[/tex]

To legs in isosceles triangle are always congruent, so

[tex]CB=CN=2x+90\ m[/tex]

The perimeter of the triangle CNB is

[tex]2x+90+2x+90+x=555\\ \\5x+180=555\\ \\x+36=111\\ \\x=111-36\\ \\x=75\ m[/tex]

So, [tex]NB=75 \ m[/tex]


Related Questions

There is a total of 2,512 people attending the fun fair. 5/8 of sttemdees are students and 1/4 of attendees are parents. the rest of the attendees are people living ioin the neigbourhood. How mnay o fthe attendees are people living in the neighbouhood?

Answers

Answer:

314 of the people attending the fun fair are people living in the neighborhood

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

314 of the people attending the fun fair are people living in the neighborhood

Paul Hastings had a checkbook balance of $1345.00. His bank statement showed a deposit of $423.00 and he hadnt recorded a $15 service fee. What should his checkbook balance be?

Answers

Answer:

Paul Hastings checkbook balance be  $1753

Explanation:

We are given Paul Hastings

current checkbook balance is equal to $1345.00

and a deposit of $423.00  is said to be made in the bank

so the new balance will be addition of this deposit in the current balance also there's a deduction of $15 as service fee.

So the total checkbook balance will be after subtracting $15 from sum of current balance and deposit.

So his checkbook balance = $1345 + $423 - $15

                                             = $1753

which is the required value of checkbook.

If triangle ABC = DEF AB = 8 , BC = 19 , AC = 14 , EF = 4x - 1 and DE=y-6, what are the values of x,y, and z

Answers

Answer:

x = 5 and y = 14

Step-by-step explanation:

Given [tex]\triangle[/tex]ABC[tex]\cong \triangle[/tex]DEF.

Congruent triangles have congruent corresponding parts, so

[tex]AB\cong DE\\ \\AC\cong DF\\ \\BC\cong EF[/tex]

Since

[tex]AB=8\\ \\BC=19\\ \\AC=14\\ \\EF=4x-1\\ \\DE=y-6,[/tex]

then

[tex]4x-1=19\\ \\4x=19+1\\ \\4x=20\\ \\x=5[/tex]

and

[tex]y-6=8\\ \\y=8+6\\ \\y=14[/tex]

students at westbrook middle school hold green team meetings to plan ways to help protect the environment this week there are 144 at the meeting which is 90% of the total group

Answers

Answer:

160 member

Step-by-step explanation:

Here the question is, how many total member are there in the team?

Given: 144 member in the meeting is equal to 90% of the total group.

Let assume x be the total member in the green team.

Now, finding the number of member in the team, which is x.

[tex]\frac{90}{100} \times x = 144[/tex]

Next, cross multiply the number on both the side

⇒ [tex]x= \frac{144 \times 100}{90} = 16\times 10[/tex]

∴ x = 160

160 is the total number of member in green team.

Answer:

160 members

Step-by-step explanation:

How do I know this well 144/90 1.6 take away the decimal and it is 16 add a 0 from the 90 and 160



On a 95-degree day with 80% humidity, the amount of time it takes an air-conditioning unit to cool a 2000-square-foot home 1 degree follows a normal distribution with mean time of 24 minutes and standard deviation of 1 minute. What is the probability it takes an air-conditioning unit longer than 25 minutes to cool the house 1 degree? (Use the Empirical Rule.)

Answers

Final answer:

There's a 16% probability that the air-conditioning unit will take longer than 25 minutes to cool a 2000-square-foot home by 1 degree on a 95-degree day with 80% humidity, based on the empirical rule of normal distribution.

Explanation:

To find the probability of the air-conditioning unit taking longer than 25 minutes to cool the house 1 degree, you first have to understand that the situation described follows a normal distribution with a mean (μ) of 24 minutes and a standard deviation (σ) of 1 minute.

Using the Empirical Rule, also known as the 68-95-99.7 rule, we can assess probabilities for normal distributions.

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Since we are interested in the time more than 25 minutes, we are looking at the area to the right of the mean plus 1 standard deviation (24 + 1 = 25 minutes).

Approximately 68% of the data falls within one standard deviation (between 23 and 25 minutes), so about 34% is below 25 minutes, and another 34% is above. However, we're interested in the portion beyond 25 minutes, falling in the tail.

Because 50% of the distribution falls above the mean (by definition of a normal distribution), and we account for the 34% within one standard deviation above the mean, this leaves us with 50% - 34% = 16% of data points (times in this case) falling beyond 25 minutes on a 95-degree day with 80% humidity.

Solve the inequality. Graph the solution.
7z< -28

Answers

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

This month Jan saved $80 from her babysitting job. Last month she saved $20. How many times more did she save this month than last month?

Answers

Answer:

4 times more

Step-by-step explanation:

80/20=4

Which expression has a value of 35 when p = 7?
49/p
5p
45-p
25+ p​

Answers

The answer is 5p because 5x7=35

Answer: the answer is B. 5p

Step-by-step explanation:

just did it so i know its right:)

comment if so!

11. Any company plans to connect a total of 20 pF of capacitance to a 7200-V

dine. To make this connection, four capacitors will be connected in series, What is

the capacitance of each capacitori

1 W

oche minimum ac

Answers

Answer:

C = 80pF

Step-by-step explanation:

The total capacitance of 4 capacitors connected in series is given by:

[tex]Ct = \frac{1}{1/C1 + /C2 + 1/C3 + 1/C4}[/tex]

[tex]Ct = \frac{1}{1/C + /C + 1/C + 1/C}[/tex]

[tex]Ct = \frac{1}{4/C}[/tex]

[tex]Ct = \frac{C}{4}=20pF[/tex]

Solving for C:

C = 4*20pF

C = 80pF

The sum of three integers is 12
12
. The sum of the first and second integers exceeds the third by 32
32
. The third integer is 15
15
less than the first. Find the three integers.

Answers

The three integers are 5,17 and -10

Step-by-step explanation:

Let x, y and z be three integers then

[tex]x+y+z=12 \ \ \Eqn\ 1[/tex]

'The sum of the first and second integers exceeds the third by 32'

[tex]x+y=z+32\ \ \ \ Eqn\ 2[/tex]

The third integer is 15  less than the first.

[tex]z=x-15\ \ \ \ Eqn\ 3[/tex]

From Eqn 2:

[tex]x+y=z + 32\\x+y-z=32[/tex]

Subtracting Eqn 1 from eqn 2

[tex]x+y-z-(x+y+z)=32-12\\x+y-z-x-y-z=20\\-2z=20[/tex]

Dividing both sides by -2

[tex]\frac{-2z}{-2}=\frac{20}{-2}\\z=-10[/tex]

Putting z=-10 in Eqn 3

[tex]z=x-15\\-10=x-15\\x=15-10\\x=5[/tex]

Putting x=5 and z=-10 in Eqn 1

[tex]x+y+z=12\\5+y-10=12\\y-5=12\\y=12+5\\y=17\\[/tex]

Hence,

The three integers are 5,17 and -10

Keywords: Linear Equations, Variables

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Answer:

First = 5, second = 17, third = -10

Step-by-step explanation:

First integer = x

The third integer is 15 less than the first, so

Third integer = x - 15

The second integer = y

The sum of the first and second integers exceeds the third by 32, so

The sum of the first and second integers = x + y

The third integer = x - 15

x + y is 32 more than x - 15, hence

x + y - 32 = x - 15

y - 32 = -15

y = 32 - 15

y = 17

The second integer = 17

The sum of three integers is 12, so

x + 17 + x - 15 = 12

2x + 2 = 12

2x = 12 - 2

2x = 10

x = 5

x - 15 = 5 - 15 = -10

what is the equation of a line parallel to y-2x=3 that passes through the point (3,1)

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange y - 2x = 3 into this form by adding 2x to both sides

y = 2x + 3 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

y = 2x-5 because it passes through (3,1) and is parallel to y-2x=3

Solve for x.
X-8=-20
-12
12
-28
28

Answers

Answer:

-12

Step-by-step explanation:

x - 8 = -20  (add 8 to both sides)

x = -20 + 8

x = -12

Answer:

-12

Step-by-step explanation:

-12 + -8 is -20.

x= -12 because if you added 28 or 12, the answer would be positive. If you subtracted -28 from -8 your answer would be -36.

So the only answer is -12.

There is a pile of nickles and dimes. The whole pile has 82 coins and is worth 6.75. How many nickles are in the pile?​

Answers

There are 29 nickles in the pile.

Step-by-step explanation:

Let,

nickles = x

dimes = y

Total coins = 82

Total worth = $6.75 = 6.75*100 = 675 cents

1 nickle = 5 cents

1 dime = 10 cents

According to given statement;

x+y=82    Eqn 1

5x+10y=675   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=82)\\5x+5y=410\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](5x+10y)-(5x+5y)=675-410\\5x+10y-5x-5y=265\\5y=265[/tex]

Dividing both sides by 5;

[tex]\frac{5y}{5}=\frac{265}{5}\\y=53[/tex]

Putting y=53 in Eqn 1

[tex]x+53=82\\x=82-53\\x=29[/tex]

There are 29 nickles in the pile.

Keywords: linear equations, subtraction

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If Carrie and Cory add on 18% tip to the bill after tax what does their lunch cost in total

Answers

Answer:

The cost of total lunch is 1.18 y ( 1+ 0.0 x )

Step-by-step explanation:

Given as :

The percentage of tip added tot he bill after tax = 18 %

Let the tax added to the bill = x % of total the lunch price

Let The total lunch cost = y

So, The cost of the lunch after tax = y + x %  × y

I.e The cost of lunch after tax = y × ( 1 +x % )

Or. The bill of lunch after tax = y × ( 1 + 0.0 x )

Now the cost of lunch after tax and tip =18 % of y × ( 1 + 0.0 x ) + y × ( 1 + 0.0 x )

Or, the cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) (0.18 + 1 )

∴ The cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) × 1.18

Hence The cost of total lunch is 1.18 y ( 1+ 0.0 x )  Answer

Round 2034627105 to the nearest hundred thousand

Answers

you need to put the decimal somewhere but if it comes at the beginning then 203463is your answer.

Answer:

here is an actual answer

203463

Step-by-step explanation:

Write the equation of the line that passes through the point (4,3) and is perpendicular to the line y=2x-4

Answers

Answer:

y-3=-1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

perpendicular means negative reciprocal of the current slope,

and the negative reciprocal of 2 is -1/2.

y-3=-1/2(x-4)

A recipe for ice cream calls for 1.656 liters of milk.How many millimeters are in the recipe?

Answers

Answer:

In the recipe are 1,656 milliliters of milk

Step-by-step explanation:

The correct question is

A recipe for ice cream calls for 1.656 liters of milk.How many millimeters of milk are in the recipe?

Remember that

[tex]1\ liter=1,000\ milliliters[/tex]

To convert liters to milliliters multiply by 1,000

so

[tex]1.656\ L=1.656(1.000)=1,656\ mL[/tex]

therefore

In the recipe are 1,656 milliliters of milk

The rule which allows us to change the sign of an exponent is called the ____ rule.

Answers

Answer:

The rule which allows us to change the sign of an exponent is called the negative exponent rule.

Step-by-step explanation:

Consider the provided information.

The negative exponent rule is the rule which allows to change the sign of an exponent.

[tex]x^{-1}=\frac{1}{x}[/tex]

According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.

If A negative exponents in the denominator moved to the numerator and become positive exponents.

Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the negative exponent rule.

a woman is walking at the rate of 90 yards per minute. How fast is she going in feet per second?

Answers

Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = [tex]90\div 60[/tex]

Therefore by dividing we get = [tex]1.5 yard[/tex]

Now, we find the rate of walking per second in feet = [tex]1.5\times 3[/tex]

So, by multiplying we get = [tex]4.5 feet[/tex]

Therefore, she is going at the rate of 4.5 feet per second.

The price of an air conditioner was reduced from rs 27000 to rs 24000 find the rate of percentage

Answers

Answer:

Step-by-step explanation:

The rate of percentage is basically finding out the new price as a proportion of the old price. Hence the answer is 24000/27000 x 100, multiplying with 100 to obtain the percentage.

However, if you’re finding the percentage reduced, you will be taking the price it is reduced by over the original price and finding the percentage which would hence be 3000/27000x100.

On a certain hot​ summer's day, 196 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 314.00 .  How many children and how many adults swam at the public pool that​ day?

Answers

Number of adults = 40

Number of children = 156

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

Then according to given statements

[tex]x+y=196\ \ \ Eqn\ 1\\2.0x+1.50y = 314\ \ \ Eqn\ 2\\[/tex]

From equation 1:

[tex]x+y = 196\\x = 196-y[/tex]

Putting in equation 2

[tex]2(196-y) + 1.50y = 314\\392-2y+1.50y = 314\\392-0.5y = 314\\-0.5y=314-392\\-0.5y=-78[/tex]

Dividing both sides by -0.5

[tex]\frac{-0.5y}{-0.5} = \frac{-78}{-0.5}\\y = 156[/tex]

Putting y = 156 in equation 1

[tex]x+156 = 196\\x = 196 - 156\\x = 40[/tex]

Hence,

Number of adults = 40

Number of children = 156

Keywords: Linear equations, Variables

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Write the number 9.359 × 105 in standard form.

Answers

Answer:

982.695

Step-by-step explanation:

9.359 x 105 = 982.695

Write an equation of the line that passes through the points
(0, 3) and (-5, 0).

Answers

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

(0, 3) is the y-intercept as it passes through y = 3 at x = 0, or the y-axis.

Slope:

[tex] \frac{y1 - y0}{x1 - x0} = \frac{3 - 0}{0 - ( - 5)} = \frac{3}{5} [/tex]

Equation of a straight line:

y = mx + c

m = slope (3/5)

c = y value of y-intercept (3)

Equation:

[tex]y = \frac{3}{5} x + 3[/tex]

Andrew draws a scale drawing of his office.If each 5 cm in the scale drawing equals 10ft, what are the actual dimensions of Andre’s office?

Answers

Answer:

well if it is a square then 10ft by 10ft. Otherwise, since you haven't given me the scale drawing, just find the area through 5cm. Then multiply your answer by 2 and instead of cm have ft.

Step-by-step explanation:

What is (8x-30)+6x+(2x+10) simplified?

Answers

Answer:

16x-20

Step-by-step explanation:

(8x-30)+6x+(2x+10)

8x-30+6x+2x+10

8x+6x+2x-30+10

14x+2x-20

16x-20

Which expression is equivalent to 8-4(x-6)/4?n is equivalent to 8-4(x-6)/4?

Answers

Answer:

B) -x+8

Step-by-step explanation:

8-4(x-6)=8-4x+24=-4x+32

(-4x+32)/4=-x+8

Answer:

the answer is B did it on edge

Step-by-step explanation:

please give brainlist

What is the name of a 21 sided polygon?

Answers

Answer:

We call a 21-sided polygon a Henacosagon.

Explanation:

See chart above

* 9 − nona-

I am joyous to assist you anytime.

The name of a 21 sided polygon is Henicosagon.

What is a polygon?

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is its body.

Given that, what is the name of a 21 sided polygon,

Polygons have very simple names for the first twenty names.

They use a basic prefix naming system. Di, tri, tetra, penta, and so on.

But polygons with 21 to 99 sides have a different naming system.

First, we use a prefix for the tens (such as triaconta—30). Then we use a prefix for the ones (such as di—20).

At last, we put them together with a ‘kai’ between them. This would be formatted to look like (tens)kai(ones)gon.

In simpler words, a 32-sided polygon. We can normally refer to it as a 32-gon.

Hence, the name of a 21 sided polygon is Henicosagon.

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2) Jim get $200 for 50 sales, $350 for 70 sales, and $500 for
85 sales. This is called

Answers

Answer:

salary based on how many sales are made

Step-by-step explanation:

it takes one fourth of a gallon of paint covers one fifth of a car how much paint covers the whole car​

Answers

Answer:

The volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

Step-by-step explanation:

Let the volume of paint required to cover whole car be 'x'.

Given:

Volume of paint to cover one-fifth of a car = one-fourth of a gallon.

We use unitary method to determine the volume of paint required.

∵ One-fifth of a car requires paint = [tex]\frac{1}{4}\ gal[/tex]

∴ Whole volume of car requires paint = [tex]\frac{\frac{1}{4}}{\frac{1}{5}}[/tex]

[tex]=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal[/tex]

Therefore, the volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

5= 10x - 5y what’s the slope-intercept

Answers

Answer:

y=2x-1

Step-by-step explanation:

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gcf of 35 and 15 and 3 The materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. She knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. She also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four days. If order size was 1,000 kilograms of resin, what would be the length of an order cycle?A. 0.05 daysB. 4 daysC. 16 daysD. 20 daysE. 50 days In this experiment, direct titration of a base with acid is not used. Instead, a back titration of a base with excess acid will be employed. Why?a. The CO2 gas is released during the chemical reaction and is a slow stepb. There is a time delay between the addition of the acid and the completion of the reactionc. The endpoint of the titration would be unclear because straight titration does not allow enough reaction timedd. none of the abovee. all of the above The volume V, in liters, of air in the lungs during a five-second respiratory cycle is approximated by the model V + 0.1729t + 0.1522t - 0.0374t, where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle. D. W. Griffith transformed the ____________ into an art and unlocked its potential as a medium of serious expression and persuasion with his controversial film The Birth of a Nation. While critics praised the film for its narrative complexity and epic scope, many others were outraged and even started riots at several screenings because of its highly controversial, openly racist attitudes. Why is fusion an appealing energy source? Fusion products are generally not radioactive. Extremely high temperatures are required. The reaction can be confined by available structural materials. Extremely high pressures are required. One year ago, Norbert Wagner purchased 30 shares of DUX Inc., stock for $20 per share. During the last year, DUX Inc., experienced strong earnings and paid dividends of $0.50 per share. Norbert just sold the stock for $19 per share.Ignoring taxes, Norberts return from investing in DUX Inc., was"A. 7.50%B. -2.50%C. -5.00%D. 7.89% Watch the following Changing with the Times: Variations within Ecosystems tutorial. Write a summary paragraph (4-6 sentences) describing what you learned from the tutorial. I have the first part but I don't know how to do the second parth e l p A truck horn emits a sound with a frequency of 238 Hz. The truck is moving on a straight road with a constant speed. If a person standing on the side of the road hears the horn at a frequency of 220 Hz, then what is the speed of the truck? Use 340 m/s for the speed of the sound. In the story "Night" Describe the 'run' and Elie's experience during the death march. We don't know f (x) but we do know that x = 1 is a critical number of f' (x) and we know f" (x)=12x. Use this information to decide if f(x) has a relative minimum or maximum at x=1. When did the individual states begin creating governments and writing new constitutions?in 1782, as the Treaty of Paris was being negotiatedas soon as independence was won from Britain in 1781, at the surrender of Cornwallisduring the Continental Congresss movement toward independence in 1776as soon as Congress approved the Treaty of Paris, in 1783 Jarrod reports feeling that his life is going well overall. He experiences many desirable and pleasant emotions on a daily basis, but also has battled with anger and worry since he had children. What level of subjective well-being (SWB) might we say that Jarrod holds?a. very high SWB, because having children increases health and happinessb. moderately high SWB, because you can still have some negative emotions and be happyc. moderately low SWB, because anger and worry drain happiness and life satisfactiond. very low SWB, because Jarrod's negative emotions interfere with his responsibilities and happiness 0.0398 rounded to the nearest cent Shadow banks ________ borrow short-term funds that are not federally insured and use them for long-term investment, and therefore ________ to runs similar to those that occurred during the financial crisis.A) continue to; are vulnerableB) continue to; are no longer vulnerableC) no longer; are vulnerableD) no longer; are no longer vulnerable $4000 is deposited in an account that pays an APR of 8.4% compounded annually. How long will it take for the balance to reach $120,000? A store owner sells two pairs of runningshoes for each pair of high tops.He plans to order 144 pairs of shoesHow many pairs should be high tops? Was Henry Clays American Plan successful? Why? The three skills that are listed for architect are critical thinking,.... and active listening.