Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy? Check all that apply.
A. X+Y=28
B. 28+X=Y
C. X-Y=28
D. 28-X=Y
E. 28-Y=X

Answer:

E. 16 min 12 sec

Step-by-step explanation:

See it in the pic.

Answer:

Option D. x = 4

Step-by-step explanation:

we have

[tex]f(x)=\frac{1}{x-3}+1[/tex]

[tex]g(x)=2\sqrt{x-3}[/tex]

we know that

The solution of the system

f(x)=g(x)

is the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is (4,2)

see the attached figure

therefore

The solution is x=4

Answer:

for plato its d

Step-by-step explanation:

i got it

Answer:

She has descended a total of 18 feet from the top to her friend.

Step-by-step explanation:

Anna is 26 ft. high on a rock-climbing wall.

She descends to the 15-foot mark,means she come to a height of [tex]26-15=11[/tex] feet and rests.

Then climbs down until she reaches her friend, who is 8 feet from the ground.

So, she climbs down [tex]15-8=7[/tex] feet more.

Hence, in total Anna has descended [tex]11+7=18[/tex] feet

The answer : She has descended a total of 18 feet from the top to her friend.

Answer:

For 2 months

Step-by-step explanation:

Let after x months the cost of each health club is same,

Now, In club A,

Membership fees = $ 19,

Monthly fees = $ 21,

So, the total fees for x months = membership fees + total monthly fees for x months

= 19 + 21x

In Club B,

Membership fees = $ 23,

Monthly fees = $ 20,

So, the total fees for x months = membership fees + total monthly fees for x months

= 23 + 20x

Thus, we can write,

19 + 21x = 23 + 20x

21x - 20x = 23 - 21

x = 2

Hence, for 2 months the total cost of each health club would be same.

Answer:

13 over 3

Step-by-step explanation:

Hi Jakeyriabryant! I hope you’re fine!

I hope I have understood the problem well.

If so, what the exercise raises is the following equality:

(x-1) / 5 = 2/3

From this equation you must clear the "x".

First, we pass the 5 that is dividing on the side of the x, to the other side and passes multiplying

(X – 1) / 5 = 2/3  

(X – 1) = (2/3)*5

X – 1 = 10/3

Then we pass the one that is subtracting from the side of the x, to the other side and passes adding

X  = 10/3 + 1

Remember that to add or subtract fractions they must have the same denominator or a common denominator (in this case we can write 1 as fraction 3/3). Then,

X = 10/3 + 3/3

X = 13/3

I hope I've been helpful!

Regards!

The solution to the equation 2/3 = (x-1)/5 is x = 13/3. This is achieved by cross-multiplying, then isolating x.

To solve for x in the equation 2/3 = (x-1)/5, you will need to isolate the variable 'x'. This requires you to perform the same mathematical operation on both sides of the equation in order to maintain balance. Here we have a situation that involves proportions. Solve it by cross-multiplying:

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Answer:

y - 1 = -4(x - 7).

Step-by-step explanation:

Point-slope equation is:

y - y1 = m(x - x1)  where m = the slope and (x1, y1) is a point on the line.

Here m = -4 , x1 = 7 and y2 = 1, so:

y - 1 = -4(x - 7).

An equation of the line in point-slope form is: D. y - 1 = -4(x - 7).

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.

m represent the slope.

At data point (7, 1) and a slope of -4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = -4(x - 7)  

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Answer:

  40

Step-by-step explanation:

[tex]\dfrac{8.4\cdot 10^{-5}}{2.1\cdot 10^{-6}}=\dfrac{8.4}{2.1}\cdot 10^{-5-(-6)}=4\cdot 10^1=40[/tex]

8.4×10^-5 is 40 times the value of 2.1×10^-6

Answer:

The answer to your question is: $4.15

Step-by-step explanation:

To find the mean we just have to sum all the values and divide them by the number of data.

mean = (5.25 + 3.50 + 4.50 + 4.00 + 3.50) / 5

mean = 20.75/5

mean = $ 4.15

To find the consecutive odd integers, we need to let x represent the lesser odd integer and solve the equation x + 77 = 6(x+2). The solution is x = 13, so the lesser odd integer is 13 and the greater odd integer is 15.

Let's assume that the lesser consecutive odd integer is x and the greater consecutive odd integer is x+2.

According to the given information, 77 added to the lesser consecutive odd integer is six times the greater consecutive odd integer:

x + 77 = 6(x+2)

Solve the equation:

The lesser consecutive odd integer is 13 and the greater consecutive odd integer is 15.

Answer:

  5x -2y = -10

Step-by-step explanation:

Slope-intercept form of the equation for a line is ...

  y = mx + b . . . . where m is the slope and b is the y-intercept.

Using the given numbers, the equation is ...

  y = 5/2x + 5

Multiplying by 2 gives ...

  2y = 5x + 10

Subtracting 2y+10 puts the equation into standard form, with positive leading coefficient and mutually prime coefficients.

  5x - 2y = -10

Approximately [tex]\(8.51 \times 10^8\)[/tex] ice cream cones are purchased in one year, given a rate of 1.7 thousand cones per minute over [tex]\(5.3 \times 10^5\)[/tex] minutes.

To find the total number of ice cream cones purchased in one year, we can multiply the rate of purchase per minute by the total number of minutes in a year.

Given: Purchase rate = 1.7 thousand ice cream cones per minute, and there are [tex]\(5.3 \times 10^5\)[/tex] minutes in a year.

[tex]\[ \text{Total cones in one year} = \text{Rate per minute} \times \text{Minutes in a year} \][/tex]

[tex]\[ \text{Total cones} = 1.7 \times 10^3 \, \text{cones/minute} \times 5.3 \times 10^5 \, \text{minutes} \][/tex]

Now, multiply the coefficients and add the exponents:

[tex]\[ \text{Total cones} = 8.51 \times 10^8 \, \text{ice cream cones} \][/tex]

Therefore, approximately [tex]\(8.51 \times 10^8\)[/tex] ice cream cones are purchased in one year.

Final answer:

By multiplying 1.7 × 10³ cones per minute by 5.3 × 10⁵ minutes per year, the total number of cones purchased in one year is approximately 9.01 × 10⁸ cones.

Explanation:

To calculate the total number of ice cream cones purchased in one year, we can use scientific notation and multiplication. First, convert the number of ice cream cones bought per minute into scientific notation:

1.7 thousand cones per minute = 1.7 × 10³ cones/minute

Next, multiply this by the total number of minutes in a year, also given in scientific notation:

5.3 × 10⁵ minutes/year

The calculation will look like this:

(1.7 × 10³ cones/minute) × (5.3 × 10⁵ minutes/year) = (1.7 × 5.3) × (10³× 10⁵) = 9.01 × 10⁸ cones/year

The approximation for the number of cones purchased in one year is 9.01 × 10⁸ cones.

A=Tossing a  fair coin, until getting  2 consecutive heads,

Minimum Number of tosses

 =(SF)(FS)(FF)(SS)

X =8 tosses

S=Success

F=Failure

B=Tossing a  fair coin, until getting 3 consecutive heads.

Minimum Number of tosses

 =(SFS)(FSS)(SSF)(SFF)(FSF)(FFS)(FFF)(SSS)

Y =24 Tosses

Probability of an event

        [tex]=\frac{\text{Total favorable Outcome}}{\text{Total Possible Outcome}}\\\\P(X)=\frac{SS}{8}\\\\P(X)=\frac{2}{8}\\\\P(X)=\frac{1}{4}\\\\P(Y)=\frac{SSS}{24}\\\\P(Y)=\frac{3}{24}\\\\P(Y)=\frac{1}{8}\\\\\frac{1}{4}> \frac{1}{8}\\\\P(X)>P(Y)[/tex]

Answer:

Your friend sees you moving at 0.25 m/s upstream.

Step-by-step explanation:

Remember that relative velocity is the velocity of an object in relation to another object. In this example, your friend sees you moving with respect to the river with a relative velocity (Vr) of:

Vr = Yor Velocity (Vy) - The river Velocity (Vriver) =

Vr = 1.25 m/s - 1 m/s = 0.25 m/s

I hope my answer helped you.

Answer:

The answer to your question is: T = 32 - 0.15t

Step-by-step explanation:

calling card cost = $32

t = minutes used

cost = 15 c / min

Equation = ?

T = money left on his card

T = 32 - 0.15t

ok so. A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a pound, and 5 pounds of carrots at $9.80 per pound. If the stew serves 30 people and he charges $12.50 per serving, how much profit will he make?

Answer:

Step-by-step explanation:

248.50 your welcome

Answer:

The answer to your question is: lost 70 games; played 154 games

Step-by-step explanation:

Data

Won 84 games

Won 14 more games than it lost

There was no toes.

# of games did the team lose?

# of games did it play?

Process

             games lost = games won - 14

             games lost = 84 - 14

             games lost = 70

# of games played = games won + games lost

# games played = 84 + 70

                           = 154

Answer:

There are 16276 different stocks which are possible to uniquely designate with these codes

Step-by-step explanation:

The information we have is that

1. There are 26 different letters.

2. The stock can be designated with a one, two or three letter code and the letters may be repeated (We always have 26 options for the first, second and third letter)

3. Order matters (different order constitute a different code), which means we're talking about permutations.

The total codes we can make would be:

[tex]P_{26|1} + P_{26|2}+ P_{26|3}   \\26+650+15600= 16276[/tex]

Answer:

Step-by-step explanation:

[tex]40m + 300 > 1000[/tex]

[tex]40m > 700[/tex]

[tex]m > 17.5[/tex]

Rounding up to the nearest whole number, it will take Madison at least 18 months to reach her goal.

She will need 18 months to reach her goal.

What is an inequality?

The word inequality means a mathematical expression in which the sides are not equal to each other. Basically, an inequality compares any two values and shows that one value is less than, greater than, or equal to the value on the other side of the equation.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

Given, inequality is

40m +300 > 1000

40m > 1000-300

40m > 700

m > 700/40

m > 17.5

Hence, she will take more than 17 months and on 18th month she will achieve her goal.

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Answer:

True, It is a example of inferential statistics.

Step-by-step explanation:

There are two types of statistics which are:

In Inferential Statistics we describe the valuable characteristic of the population using a sample of data.

Here, Since the professor is estimating the average score of 1,500 students using an average score of 20 students. So it is Inferential Statistics.

Answer:

A) There is one cluster and one outlier.  

Step-by-step explanation:

We are given the following information in the question:

We are given a scatter plot.

When observed, the given scatter plot has one cluster and one outlier.

Hence, option A) is the correct answer.

Answer:

3 * 10^3 in scientific notation.

3,000 in standard notation.

Step-by-step explanation:

We divide:

3.9 *10^5 / 1.3 * 10^2

= ( 3.9/1.3) * (10^5 / 10^2)

= 3 * 10(5-2)

= 3 * 10^3.

This  equals 3 * 1,000 = 3000.

The number of  times larger the culture sample was compared to a earlier week is, in scientific notation  3.0 × 10³ and in standard notation =  3000

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed. We denote division by '÷' this symbol.

Given that,

biologist estimated the number of cells in a culture sample as 1.3 × 102

One week later, the number of cells had grown to 3.9 × 105

how many times larger the compared to a week earlier(P) = ?

⇒ P = 3.9 × 105/1.3 × 102

⇒ P = 3.0 × 10³

The quotient in scientific notation = 3.0 × 10³

The quotient in standard notation =  3000

Hence, The results are respectively 3.0 × 10³, 3000

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Answer:-13/4

Step-by-step explanation:

Move 3/4 to the left:

-2/5-3/4=-20/8-6/8

-26/8=n

-13/4=n

The first one is the answer

Answer:

d) 90 percent

Step-by-step explanation:

A plea bargain is an arrangement made between the prosecutor and the defendant.

Here the defendant pleads guilty to a lesser charge in exchange for a more lenient sentence like here Jackson says he will name one of the dealer, in return for a lesser sentence.

This arrangement takes place in almost 90 percent cases.

Answer:

k = Y*A/L

Step-by-step explanation:

We can apply the Law of Hooke in order to explain the problem.

If we define k = F / ΔL  and the Y = S / δ

Where S is the uniaxial stress: S =  F / A   (i)

and δ is the strain: δ = ΔL / L   (ii)

ΔL is the change in length

we can combine the equations i and ii as follows

Y = (F / A) / (ΔL / L) = (F * L) / (A * ΔL)   (iii)

if k = F / ΔL the equation iii results

Y = k * (L / A)  ⇒   k = Y*(A / L)

The spring constant of a metal bar for low values of tensile strain can be determined using Hooke's Law. It is given by the formula k = (A * Y) / L, where A is the cross-sectional area, Y is the Young's modulus of the material, and L is the initial length of the bar.

The 'spring constant' of a metal bar for low values of tensile strain can be determined using Hooke's Law, which relates the applied force to the resulting elongation. In this case, the elongation is equivalent to the tensile strain.

Therefore, the spring constant of a metal bar for low values of tensile strain is

k = (A * Y) / L

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Answer:

  G = (2, 9)

Step-by-step explanation:

The midpoint is the average of the endpoints, so we have ...

  M = (G+H)/2

Solving for G gives ...

  G = 2M -H = 2(5, 9) -(8, 9) = (10-8, 18-9)

  G = (2, 9)

Answer:

Option C is the answer.

Step-by-step explanation:

Given diameter is = 2 miles

So, radius will be = 1  mile

Let t represents the number of hours it took Johanna to walk completely around the lake.

Now, the circumference is given as: [tex]2\pi r[/tex]

So, circumference = [tex]2(3.14)(1)[/tex] = 6.28 miles

Johanna's speed = 3 miles/ hour

We know the formula [tex]Time=Distance / Speed[/tex]

t = [tex]6.28/3[/tex]

t = 2.09 hours

This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.

Answer:

20/100

Step-by-step explanation:

20 over 100 due to 100 percent is a whole and you are taking 20 percent so 20 will be ur numerator and 100 for you dominator

Answer: It's 2.2 times more expensive to buy the 12-oz can of pop compared to buying it in a 2.00 L bottle

Step-by-step explanation:

You know that:

[tex]1.00\ L = 1.057\ quarts[/tex]

[tex]1.00\ quart=32\ oz[/tex]

Then, you can make the conversion from liters to quarts:

[tex](2.00\ L)(\frac{1.057\ quarts}{1.00\ L})=2.114\ quarts[/tex]

Now, you need to make the conversion from quarts to ounces:

[tex](2.114\ quarts)(\frac{32\ 0z}{1.00\ quart})=67.648\ oz[/tex]

You know that a 12-oz can of soda pop costs 89 cents (which is $0.89). Then, the cost per ounce is:

[tex]\frac{\$0.89}{12}=\$0.074[/tex]

 And a 2.00 L bottle (67.648 oz) of the same variety of soda pop costs $2.29. The cost per ounce is:

[tex]\frac{\$2.29}{67.648}=\$0.033[/tex]

Finally, you must divide $0.074 by $$0.033:

[tex]\frac{\$0.074}\$0.033}=2.2[/tex]

Therefore, It's 2.2 times more expensive to buy the 12-oz can of pop compared to buying it in a 2.00 L bottle.

Buying soda pop in a 12-oz can is about 2.19 times more expensive per ounce than buying it in a 2.00 L bottle.

To compare the cost effectiveness of buying soda pop in different quantities, we first need to convert the volume measurements consistently:

1. Convert 2.00 L to ounces:

  Since 1.00 L = 33.8 oz (using the conversion factor 1.00 L = 1.057 quart and 1 quart = 32 oz),

  [tex]\[ 2.00 \text{ L} = 2.00 \times 33.8 \text{ oz} = 67.6 \text{ oz} \][/tex]

2. Calculate the cost per ounce for the 2.00 L bottle:

  [tex]\[ \text{Cost per ounce} = \frac{\$2.29}{67.6 \text{ oz}} \approx \$0.0339 \text{ per ounce} \][/tex]

3. Calculate the cost for the 12-oz can:

  [tex]\[ \text{Cost of 12-oz can} = \$0.89 \][/tex]

4. Compare the costs:

  [tex]\[ \text{Cost per ounce for the can} = \frac{\$0.89}{12 \text{ oz}} = \$0.0742 \text{ per ounce} \][/tex]

5. Calculate how many times more expensive the can is compared to the bottle:

  [tex]\[ \text{Times more expensive} = \frac{\$0.0742}{\$0.0339} \approx 2.19 \][/tex]

Buying a 12-oz can of soda pop costs approximately $0.0742 per ounce, while buying a 2.00 L bottle costs approximately $0.0339 per ounce. This makes the can approximately 2.19 times more expensive per ounce compared to the bottle.

Answer:

Step-by-step explanation:

3/4r + 1/2(r+6)=23

3/4r + 1/2r +3=23

5/4r =20

Multiplying by 45 yields r=16

DaMarcus's speed is r=16 miles per hour & Fabian's speed is r+6=22 miles per hour.

Speed of demarcus is 16 mph & speed of fabian is 22 mph.

The rate of change of position of a particle with respect to time is called speed of that particle.

Distance = Speed × time

Let, Demarcus rides x mph for 3/4th of an hour i.e. 0.75 hour

So, he rode 0.75x miles

Given that, Fabian's speed is 6 mph more than Demarcus's speed.

Fabian rides (x+6) mph for half an hour, i.e. 0.5 hour

So, he rode 0.5(x+6) miles

According to the question,

0.75x+0.5(x+6) = 23

⇒ 0.75x+0.5x+3=23

⇒ 1.25x = 20

⇒ x = 20/1.25

⇒ x = 16 mph

So, Demarcus's speed is 16 mph

Hence, Fabian's speed is 16+6 = 22 mph

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Answer:

a) Δ ABC is rotated around the origin by angle 180° and then translated 1

unite to the right and 3 units up

b) R (O , 180°) and T (x + 1 , y + 3)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) rotated about the origin by angle 180° then its image

 is (-x , -y)

- If the point (x , y) translated horizontally to the right by h units

 then its image is  (x + h , y)

- If the point (x , y) translated horizontally to the left by h units

 then its image is  (x - h , y)

- If the point (x , y) translated vertically up by k units

 then its image is  = (x , y + k)

- If the point (x , y) translated vertically down by k units

 then its image is  (x , y - k)

* Lets solve the problem

∵ Δ ABC change its place from 2nd quadrant to the 4th quadrant

  and reverse its direction Point A up and its image A" down

∵ No change in its size

∴ Triangle ABC rotates 180° clockwise around the origin

# Remember : There is no difference between rotating 180° clockwise

  or  anti-clockwise around the origin

∵ The vertices of Δ ABC are:

# A = (-3 , 5)

# B = (-3 , 2)

# C = (-1 , 2)

∵ If point (x , y) rotated about the origin by angle 180° then its image

 is (-x , -y)

∴ A'' = (3 , -5)

∴ B'' = (3 , -2)

∴ C'' = (1 , -2)

∴ Triangle ABC rotates 180° around the origin to form ΔA"B"C"

∵ The vertices of Δ A'B'C are:

# A' = (4 , -2)

# B' = (4 , 1)

# C' = (2 , 1)

- By comparing the x-coordinates and y-coordinates of points of

 Δ A''B''C'' and Δ A'B'C' we will find that every x-coordinate add by 1

 and every y-coordinate add by 3

∵ 4 - 3 = 1 and 2 - 1 = 1 ⇒ x- coordinates

∵ -2 - (-5) = -2 + 5 = 3 and 1 - (-2) = 1 + 2 = 3 ⇒ y-coordinates

∴ ΔA''B''C'' translates to the right 1 unite and up 3 units to form

  Δ A'B'C'

a) Δ ABC is rotated around the origin by angle 180° and then

   translated 1 unite to the right and 3 units up

b) R (O , 180°) and T (x + 1 , y + 3)