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guapka [62]
3 years ago
11

Which of the following best describes the number of solutions to the system of equations below?

Mathematics
2 answers:
Kryger [21]3 years ago
5 0

We could rewrite

2x + 3 = y

-4y + 8x = -12

as

2x - 1y = -3

8x - 4y = -12

We need to compare these two results. Do they represent the same equation or two different equations? Dividing the 2nd equation by 4 results in 2x - y = -3, which is indeed exactly the same as the first equation. Because of this, we have two straight lines that are superimposed; one lies right on top of the other. Thus, this system has an infinite number of solutions.

Basile [38]3 years ago
3 0
This system has an infinite number of solutions letter d is the answer
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Reduce -10/-5 dont know how too reduce
Agata [3.3K]

Answer:

-10/-5= 2 simply divide

2 negatives multiplied and/ or divided by is a positive number

5 0
3 years ago
A recipe requires 2\tfrac{3}{4}2 4 3 ​ cups of milk for every \frac{1}{3} 3 1 ​ of a cup of flour. What is the ratio of cups of
exis [7]

Answer:

28 tablespoons of sugar

6 tablespoons of cocoa powder

Step-by-step explanation:

Malik is using a cookbook to make a recipe, but he can not find his measuring cups! He has, however, found a tablespoon. Inside the back cover of the cookbook, it says that 1 cup = 16 tablespoons.

Explain how he could use the tablespoon to measure out the following ingredients:

2 cups of flour

½ cup sunflower seeds

1¼ cup of oatmeal

Malik also adds the following ingredients. How many cups of each did he add?

28 tablespoons of sugar

6 tablespoons of cocoa powder

Use of the following representations is optional:

Tablespoons 16            

Cups 1            

5 0
3 years ago
Read 2 more answers
Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
Read 2 more answers
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon
fiasKO [112]

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

8 0
2 years ago
AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?
Llana [10]

Formula for the volume of cone is \frac{1}{3} \pi r^2h

Where r= radius of the cone

h = height of the cone

The value of pi is 3.14

Given volume of larger cone is 131 cm^3

Volume of larger cone = \frac{1}{3} \pi r^2h

131 = \frac{1}{3} \pi 5^2h

Solve for h

131 = 26.1667 *h

So h= 5 cm

The height of bigger cone = 5cm

Now we find the volume of smaller cone

Two cones similar so the sides are in proportional

\frac{radius(small)}{radius(large)}=  \frac{height(small)}{height(large)}

\frac{2}{5} =\frac{ height of small}{5}

Height of smaller cone = 2cm

volume of smaller cone = \frac{1}{3} \pi 2^2*2

= 8.38cm^3

6 0
3 years ago
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