The quadrilateral shown is a parallelogram. If m∠ADC = 125° and m∠1 = 30°, what is m∠2? A) 15° B) 25° C) 35° D) 55°

Answer:

50 gallos of 70%

100 gallons of 85%

Step-by-step explanation:

x = amount of 70% antifreeze

y = amount of 85% antifreeze 

   EQUATION 1:   x + y = 150    (total of 150 gallons mixed) 

   EQUATION 2:  .70x + .85y = .80(x + y)

    Multiply second equation by 100 on both sides to remove the decimals           70x + 85y = 80(x + y)  

  70x + 85y = 80x + 80y   (distributive)     

  70x - 80x + 85y - 80y = 0          

 -10x + 5y = 0      

Now we have the following system of equations:        

     x  +  y = 150     

  -10x +5 y = 0  

 Multiply the first equation by 10 to get opposite coefficients for x;  add the equations to eliminate x        

  10x + 10y = 1500       

 -10x + 5y =       0     

  ------------------------------                 

                15y = 1500    

 Solve for y            15y = 1500                y = 100

x+100=150    x=50

Answer:

$3

Step-by-step explanation:

3 blobs for 1.50

that means 1 blob is (1.50 / 3) which is 50 cents per blob

0.50 * 6 = 3 dollars for 6 blobs

The question is about cost ratios. Given that 3 blobs are worth $1.50, a single blob is worth $0.50. Therefore, 6 blobs would cost $3.00.

The question is asking about cost ratios. In the presented situation, there are 3 blobs for every $1.50. We can say that the cost of one blob is $1.50 divided by 3, which is $0.50. If we are looking for the cost of 6 blobs, we simply multiply the cost of one by 6, which gives us $3.00. Therefore, 6 blobs cost $3.00.

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Answer:

The point (0,4) doesn't make either equation true.

Step-by-step explanation:

Consider the equations.

[tex]y=-2x[/tex] and [tex]y=x+3[/tex]

We need to determine the point (0,4) make either equation true.

Substitute x=0 and y=4 in [tex]y=-2x[/tex]

[tex]4=-2(0)[/tex]

[tex]4=0[/tex]

Which is false.

Substitute x=0 and y=4 in [tex]y=x+3[/tex]

[tex]4=(0)+3[/tex]

[tex]4=3[/tex]

Which is false.

Hence, the point (0,4) doesn't make either equation true.

Answer: 67

Step-by-step explanation:

Answer:

THE  FIRST ONE IS -3<1

THE SECOND ONE IS 7.11>-7.1

THE THIRD ONE IS 16 OVER 5

I DON'T KNOW THE LAST TWO SORRY

Answer:

#1

# 1

x=4

don't know number 4 and 5

so i think it is

7 and 9

[3,4]

Step-by-step explanation:

Answer:

(4,-1)

Step-by-step explanation:

the graph goes up or down by 2 each time so 2x2=4

then half of -2 is -1

Answer:

x=510/7

Step-by-step explanation:

51/70=x/100

cross product

70*x=51*100

70x=5100

x=5100/70

x=510/7

x =72.86. This means that 51 out of 70 is equivalent to 72.86%.

51/70 = x/100.

51 * 100 = 70 * x.

5100 = 70 x

5100 / 70 = x.

The result is x = 72.86.

So, x = 72.86.

This means 51 out of 70 is equivalent to 72.86 out of 100 as a percentage.

Good evening ,

Answer:

Step-by-step explanation:

Look at the photo below for the details.

:)

$1331 is invested at 7% and $5566 is invested at 6%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

Assume that Sherry invested $P in the first account

∵ Sherry invested $P in the first account at 7% interest for 1 year

∵ I = P r t

∴ The interest of the 1st account = P( [tex]\frac{7}{100}[/tex] )(1)

∴ The interest of the 1st account = 0.07 P

∵ Sherry also invested $242 more than four times that amount at

   6% for 1 year

- Multiply P by 4 and add 242 to the product

∴ Sherry invested in the 2nd account (4P + 242)

∵ I = P r t

∴ The interest of the 2nd account = (4P + 242)( [tex]\frac{6}{100}[/tex] )(1)

∴ The interest of the 2nd account = 0.06(4P + 242)

- Simplify it

∴ The interest of the 2nd account = 0.24 P + 14.52

∵ Sherry receives $427.13 in interest after one year

- Equate the 1st interest and the 2nd interest and equate the sum

  by 427.13

∴ 0.07 P + 0.24 P + 14.52 = 427.13

∴ 0.31 P + 14.52 = 427.13

- Subtract 14.52 from both sides

∴ 0.31 P = 412.61

- Divide both sides by 0.31

∴ P = 1331

∵ She invested (4P + 242) in the 2nd account

- Substitute P by 1331

∴ She invested in the 2nd account = 4(1331) + 242 = 5566

∴ She invested $1331 at 7% interest

∴ She invested $5566 at 6% interest

$1331 is invested at 7% and $5566 is invested at 6%

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Answer:

The correct answer is that the probability of a randomly selected adult has an IQ less than 145 is 97.8%

Step-by-step explanation:

According to the graphic of a standard distribution attached, we have:

68.3% of the population will have an IQ +/- one time the standard deviation plus the mean. It means that 68.3% (Rounding to one decimal place) of the adults will have an IQ between 85 and 125.

95.5% of the population will have an IQ +/- two times the standard deviation plus the mean. It means that 95.5% (Rounding to one decimal place) of the adults will have an IQ between 65 and 145.

The remaining 4.5% of the adults will have either an IQ below 65 or above 145. In this case, we only want to know the percentage below 65 because the question is about the probability of an IQ less than 145. For calculating the percentage of adults that have an IQ less than 65, we use this fraction:

4.5%/2 = 2.3% (Rounding to one decimal)

and we add this percentage to 95.5:

Probability that a randomly selected adult has an IQ less than 145 = 95.5 + 2.3 = 97.8%

Hope the moderator will not delete the answer because I'm uploading a graphic; this graphic is exclusively for academic purposes.

The value of 'n' in the given mathematical equation n/256 = 8 1/3 * 8 1/3 is approximately 17766.4.

The question asks what is the value of n if n divided by 256 = 8 1/3 times 8 1/3. To find the answer, first we need to calculate the value of 8 1/3 times 8 1/3. Converting 8 1/3 to a decimal result in approximately 8.33. Then, we multiply 8.33 by itself to get approximately 69.4.

Since n divided by 256 gives this value, to find n, we simply multiply 69.4 by 256. This results in approximately 17766.4. Therefore, given the condition in the problem, the value of n would be approximately 17766.4.

To find the value of n, we need to solve the equation: n/256 = 8 1/3 * 8 1/3. First, let's convert 8 1/3 to a fraction: 8 1/3 = 25/3. Next, multiply 25/3 by itself to get (25/3) * (25/3) = 625/9. Now we can solve for n by multiplying both sides of the equation by 256: n = (256 * 625/9).

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Answer:

[tex]y=0.15x[/tex]

Step-by-step explanation:

Given:

Original price of the ticket is [tex]x[/tex]

Price after using the coupon is [tex]y[/tex]

Coupon discount is 85% of [tex]x=0.85x[/tex]

Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,

[tex]y=x-0.85x=x(1-0.85)=0.15x\\\therefore y=0.15x[/tex]

The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.

The line [tex]y=0.15x[/tex] strictly remains in the first quadrant as both [tex]x[/tex] and [tex]y[/tex] can't be negative as they represent price of tickets and price can never have negative values. Hence, only the first quadrant has both the values of [tex]x[/tex] and [tex]y[/tex] positive.

Question is incomplete, complete question is given below.

The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except _____.

A) 2/3

B)3/2

C)1 1/2

D)18/12

Answer:

A) 2/3

Step-by-step explanation:

Given:

The fraction is [tex]\frac{9}{6}[/tex]

By solving the above fraction to its simplest form we get

[tex]\frac{9}{6}=\frac{3\times3}{2\times2}=\frac{3}{2}[/tex]

Now For Option A which is [tex]\frac{2}{3}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is Not equivalent to given fraction.

Now For Option B which is [tex]\frac{3}{2}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is equivalent to given fraction.

Now For Option C which is [tex]1\frac{1}{2}[/tex]

Solving above equation to simplest form we get,

[tex]1\frac{1}{2}= \frac{1\times2+1}{2}=\frac{3}{2}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is equivalent to given fraction.

Now For Option D which is [tex]\frac{18}{12}[/tex]

Solving above equation to simplest form we get,

[tex]\frac{18}{12}= \frac{6 \times 3}{6 \times 2} = \frac{3}{2}[/tex]

Give fraction is [tex]\frac{3}{2}[/tex]

We can say that it is equivalent to given fraction.

Hence all answer B C and D are all equal to [tex]\frac{3}{2}[/tex] except A which is [tex]\frac{2}{3}[/tex]

Answer: 2/5

Step-by-step explanation:

slope = change in y/change in x (y2-y1/x2-x1)

slope (using points (50,3) and (60,7)) = 7-3/60-50 = 2/5

Answer:

sin 39 = BS / 500

0.629320391 * 500 = BS

BS = 314.6601955 feet

ie. h = 314.66 feet

Answer:

404.9 m

Step-by-step explanation:

In the attached file

To find the number, subtract 37 from both sides of the equation and isolate 'x'. The number is 54.

To find the number, let's represent it with the variable 'x'. The problem states that when 17 is added to the number, the result is 37 less than twice the number.

Mathematically, this can be represented as:

x + 17 = 2x - 37

To solve for 'x', we can start by subtracting 'x' from both sides of the equation:

17 = x - 37

Next, we can add 37 to both sides to isolate 'x':

54 = x

Therefore, the number is 54.

Answer:

x= -2 and y=1

Step-by-step explanation:

Given equations:

             -3x - 4y = 2

             3x + 3y = -3

Adding these two equations, we get:

            3y - 4y = -1 ⇒ y=1

           ⇒ 3x + 3(1) = -3 ⇒ x=-2

Answer:

Nice! Uhh... What am I supposed to do with this info?

The range of function is { 0, -6, -9}

Given that the function is:

[tex]f(x) = \frac{-3}{4}x - 6[/tex]

Also given its domain is (-8, 0, 4)

To find: Range of the function

Domain of the function is possible input of the function that is "x" and range of the function is possible output of the function that is f(x)  

As there are only three input values for "x" that are (-8, 0, 4) we can determine the range by calculating value of f(x) for each of the x

For x = 8:

[tex]f(-8)=\frac{-3}{4} \times(-8)-6=6-6=0[/tex]

[tex]f(-8)=0[/tex]

For x = 0:

[tex]\begin{array}{l}{f(0)=\frac{-3}{4} \times(0)-6=-6} \\\\ {f(0)=-6}\end{array}[/tex]

For x = 4:

[tex]\begin{array}{l}{f(4)=\frac{-3}{4} \times(4)-6=-3-6=-9} \\\\ {f(4)=-9}\end{array}[/tex]

Thus the range of function is { 0, -6, -9}

Answer:

44.

Step-by-step explanation:

Let, x= white marbles

and y= yellow marbles

Now, according to the first condition

x + y = 58 … (1)

According to the second condition,

x= 3y+2

Or, 3y - x = -2 … (2)

Adding (1) and (2)

4y= 56

Or, y= 14 ... (3)

Now, putting (3) in (1)

x = 44

Therefore there are 44 White marbles and 14 yellow marbles.

Answer:

900

Step-by-step explanation:

30 x 5 = 150 and 150 x 6 = 900. You would make a model with 5 rows of 30, then make 6 of them

Answer:

Step-by-step explanation:

[tex]10=2\cdot\boxed{5}\\\\45=3\cdot3\cdot\boxed{5}\\\\GCF(10,\ 45)=\boxed{5}[/tex]

Answer:

The area of the rectangular playroom is 260 feet² .

Step-by-step explanation:

Given:

The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.

Now, to find its area we need the length .

So, putting the formula of perimeter we get it's length:

Let the length be l .

Perimeter = 2( length + width)

[tex]72=2(l+10)[/tex]

[tex]72=2l+20[/tex]

subtracting both sides from 20:

[tex]72-20=2l+20-20[/tex]

[tex]52=2l[/tex]

Dividing both sides by 2:

[tex]52\div2=2l\div2[/tex]

[tex]26=l[/tex]

Length is 26 feet.

And, to get the area we put the formula of finding the area:

[tex]Area=length\times width[/tex]

[tex]Area=26\times 10[/tex]

[tex]Area=260[/tex]

Therefore, the area of the rectangular playroom is 260 feet² .

Final answer:

To determine the area of the rectangular playroom at Miss Pittypat's Day Care, we calculate the length using the perimeter and width provided, then multiply the length by the width. The playroom's area is found to be 260 square feet.

Explanation:

The question involves calculating the area of a rectangle when given the perimeter and the width. To find the length, we first use the perimeter formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since the perimeter is given as 72 feet and the width is 10 feet, we can solve for the length:

72 = 2l + 2(10)

72 = 2l + 20

52 = 2l

l = 26 feet

Once we have the length, we calculate the area by multiplying the length by the width:

Area = l × w

Area = 26 ft × 10 ft

Area = 260 square feet

Therefore, the area of the rectangular playroom is 260 square feet.

Answer:

B)     b = 240 - 5 x is the required expression to decipher the situation.

Step-by-step explanation:

The amount paid to the club in the advance = $240

Amount deducted in each visit = $5

Let us assume the number of times the club visited = x

So, the amount deducted in x visits  = x ( $5)  = 5x

Let b : amount Left after x visits

So, Amount left after x visits  = Advance Amount - Deductions after x visits

⇒  b = $240 - 5x

or , b = 240 - 5x is the required expression to decipher the situation.

Answer:

Giselle pays $240 on advance

Each time she uses ,$5 is deducted

Let no of time she use be x

So, Amount deducted = 5x

As Giselle pays $240 in advance

So 5x amount will be deducted from $240 to get net amount

So b= 240-5x

B) is Correct

Answer:

Step-by-step explanation:

[tex]-13(v-6)=-5v+2(5v+12)\qquad\text{use the distributive property}\\\\(-13)(v)+(-13)(-6)=-5v+(2)(5v)+(2)(12)\\\\-13v+78=-5v+10v+24\qquad\text{cobine like terms}\\\\-13v+78=(-5v+10v)+24\\\\-13v+78=5v+24\qquad\text{subtract 78 from both sides}\\\\-13v+78-78=5v+24-78\\\\-13v=5v-54\qquad\text{subtract}\ 5v\ \text{From both sides}\\\\-13v-5v=5v-5v-54\\\\-18v=-54\qquad\text{divide both sides by (-18)}\\\\\dfrac{-18v}{-18}=\dfrac{-54}{-18}\\\\v=3[/tex]

Answer:

$0.64/lb

Step-by-step explanation:

The price per pound of the grapes is $0.8/pound and this can be determined by using the unitary method.

Given :

Dylan buys 3.2 pounds of grapes for $2.56.

To determine the price per pound of the grapes, the unitary method can be used and in the unitary method single unit is evaluated first then the necessary unit by multiplying the single unit.

Given that Dylan buys 3.2 pounds of grapes for $2.56 so, through the unitary method the unit price per pound will be:

[tex]=\dfrac{2.56}{3.2}[/tex]

= $0.8 / pound

So, the price per pound of the grapes is $0.8/pound.

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Answer:

54.2%

Step-by-step explanation:

The total number is 238 + 201 = 439.  The percent that is Republican is:

238 / 439 × 100% = 54.2%

The percentage of Republicans in the House of Representatives in 2018 was approximately 54.21%, computed using the formula for percentage calculation - (number of Republicans/total number of representatives)*100.

The subject of this question is Mathematics, specifically Percentage Calculation. To answer the question, we need to find the percentage of Republicans in the House of Representatives in 2018. Given that there were 238 Republicans and 201 Democrats, the total number of representatives is 238 + 201 = 439.

To find the percentage of Republicans, we divide the number of Republicans by the total number of representatives and multiply by 100. So, the calculation would be: (238/439) * 100, which gives approximately 54.21%. Therefore, the percentage of Republicans in the House of Representatives in 2018 was approximately 54.21%.

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