How many pounds of chocolates that cost $7 per pound must be mixed with 3 pounds of caramels that cost $3.50 per pound to make a candy mix that
cost $5.25 per pound?

Answer:

r=26

Step-by-step explanation:

22/11=r/13

11r=286

r=26

Answer:

10

Step-by-step explanation:

so x=true/false questions

y=multiple-choice questions

2x+4y=100

2x=y

plug in 2x for y in the first equation

2x+4(2x)=100

10x=100

x=10

y=20

The total questions would include 10 true/false questions and 20 multiple-choice questions.

We have Mr. Dudley who is writing a test for his mathematics class. The test will have true/false questions worth 2 points each and multiple-choice questions worth 4 points each for a total of 100 points. He wants to have twice as many multiple-choice questions as true/false questions.

We have to determine how many true/false questions and multiple-choice questions will be on the test.

The modelling of equation is done to derive a mathematical relation among the terms defined in a mathematical statement.

According to the question -

Assume that the number of true/false questions be x.

Assume that the number of multiple-choice questions be y.

Then -

y = 2x

Points for each true/false questions - 2 points

Points for each multiple-choice questions -  4 points

Total points of test = 100 points

Now,

Model the equation on the basis of above information -

2x + 4y = 100

2x + 4 (2x) = 100

2x + 8x = 100

10x = 100

x = 10

Therefore -

y = 2x = 2 x 10 = 20

Hence, the total questions would include 10 true/false questions and 20 multiple-choice questions.

To solve more questions on Equation modelling, visit the link below -

brainly.com/question/689722

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Answer:

Area = 324 ft²

Step-by-step explanation:

Given

Length = 15ft

Walkway = 3ft

Required

Determine the area of the pond + the walkway

To calculate the required area, we need to get the total length of a side .

This is calculated by adding the length of a side of the pond and the side of the walkway

Total Length = Pond Length + Walkway

Total Length = 15ft + 3ft

Total Length = 18ft

Now, the required area can be calculated as thus:

Area = Total Length * Total Length

Area = 18ft * 18ft

Area = 324 ft²

Answer:

False

Step-by-step explanation:

1 7/8 =15/8

Answer:

1.15683 1381 * 10^15

Step-by-step explanation:

To get the answer, first, get the product of 36 and 9

This can be obtained by multiplying 36 with 9

36 * 9 = 324

We then raise 324 to the power of the sum of 2 and 4

The sum of 2 and 4 is gotten by adding 2 to 4

So,

2 + 4=6

Therefore, 324 raised to the power of 6

= 1.15683 1381 * 10^15

Answer:

12:13

Step-by-step explanation:

The ratio of x to y is x:y

12 boys : 13 girls = 12:13

PLS GIVE BRAINLIEST

Answer:

x+1=4x-2

Subtract x from both sides

1=3x-2

Add 2 to both sides

3=3x

Divide 3

x=1

Answer:

x+1=4x-2

-4 -4

-3x+1=-2

-1 -1

-3x=-3

x=-3÷-3

x=1

Answer:

112

Step-by-step explanation:

beacuse 180-68=112

Answer:

3 to the 4th power is 81.

Step-by-step explanation:

You would do 3 × 3, which would get you to 9. Then, you multiply 9 × 9, which gives you 81.

Answer: You're right

Step-by-step explanation:

Answer:

x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]

Step-by-step explanation:

Answer:

I do not fully understand this question so I will try to answer it the best I can.

25x^2-10x^2-13x=-7

15x^2-13x=-7

That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.

x = 2

5(2 • 2 - 6) + 20

5(2x - 6 )+ 20 = 10

10x - 30 + 20 = 10

10x - 10 = 10

+10 +10

10 / 10x = 20 / 10

x = 2

Answer:

900mph

Step-by-step explanation:

because i calculated

Answer: 1. is 50 2. is 111  3. is 26 4. is 45  and 5. is 51

Step-by-step explanation: The formula for Pythagorean theorem is A^2 plus B^2 = c^2

Sry that took so long did it wrong at first

Answer:

D

Step-by-step explanation: The two angles are not equal. The alternate interior angles theorem states that if the alternate interior angles are equal when a pair of lines is cut by a transversal, the two lines are parallel. However, the two angles are not parallel, so the lines are not parallel.

Answer:

are parallel

Step-by-step explanation:

because the lines doesn't meet so it's parallel

Answer:

9 hours or less. with a $3 off coupon she could spend up to $54. divide that by $6 per hour and that gives you a possibility of nine hours of boat rental.

Answer:

40!

Step-by-step explanation:

3x+20+40=180

3x+60=180

3x=120

x=40

Answer:

b=40

Step-by-step explanation:

Answer:

y intercept: (0, -36)

zeros: 2 √ 3 ,  − 2 √ 3 ,  i √ 3 ,  − i √ 3

Answer:

4

Step-by-step explanation:

4

Answer:

the answer is 68

Answer:

1/3

Step-by-step explanation:

-8 - -6 = -2

-2 - 4 = -6

-2/-6 = 2/6 = 1/3

Answer:

y = 4x + 0

or

y = 4x

Step-by-step explanation:

y- intercept: 0

slope: 4x

equation: y = mx + b

y = 4x + 0 or y = 4x

Answer:

Answer is D hope this helped u :)

Step-by-step explanation:

Answer: Where are the options?

Step-by-step explanation:

Answer: it’s answer 18+18+18+18

Step-by-step explanation:it’s basically18 times 4

Answer:

4 × 18 = 72

18 + 18 + 18 + 18 = 72

72 ÷ 18 = 4

Step-by-step explanation: