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Stels [109]
3 years ago
14

2.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
5 0

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

             ^

turn this | into this |

                             v

               y = 3.10 - 2x

then add it to the equation :

3x + 2 [ 3.10 - 2x ] = 5.40

3x + 6.2 - 4x = 5.40

-1x = - 0.8

x= 0.80

then add x = 0.80 to the equations to get :

3 [ 0.80 ] + 2y = 5.40

2.4 + 2y = 5.40

2y = 3

y = 1.5

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Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangl
Luba_88 [7]

Answer:

B) A rectangle with a length of 15 cm and a width of 9 cm

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

<em>Verify each cases</em>

case A) A rectangle with a length of 9 cm and a width of 6 cm

\frac{10}{9}\neq \frac{6}{6}

therefore

The rectangle case A) is not similar to rectangle A

case B) A rectangle with a length of 15 cm and a width of 9 cm

\frac{10}{15}=\frac{6}{9}

\frac{2}{3}=\frac{2}{3}

therefore

The rectangle case B) is  similar to rectangle A

case C) A rectangle with a length of 14 cm and a width of 7 cm

\frac{10}{14}\neq \frac{6}{7}

therefore

The rectangle case C) is not similar to rectangle A

case D) A rectangle with a length of 12 cm and a width of 8 cm

\frac{10}{12}\neq \frac{6}{8}

therefore

The rectangle case D) is not similar to rectangle A

6 0
3 years ago
Read 2 more answers
A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The cheerleading squad wants to
diamong [38]

Answer:

5000 aluminium cans

Step-by-step explanation:

So if the bring in ten aluminium bottles they make 1 dollar. If they bring in 50 they make 5 dollars.

If they 500 they make 50 dollars

If they bring in 5000 they make 500 dollars

Hope this helps!

3 0
3 years ago
The point (−3, 1) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of
inn [45]
The angle is in the second quadrant  so only the sine is positive . 
Length of the hypotenuse = sqrt (-1^2 + 3^2)  = sqrt10
sine  =  1/sqrt10 =  0.3162 to 4 dec places
tangent = 1 / -3 =  -0.3333  to 4 d p's
cosine = -3/sqrt10 = -0.9487 to 4 d, p's.
8 0
3 years ago
Read 2 more answers
The double number line shows that in 222 minutes, Pogo the dog can fetch a frisbee 666 times. Based on the ratio shown in the do
Ilia_Sergeevich [38]

Answer:

Dog Pogo will fetch the frisbee <u>12 times</u> in 4 minutes.

Step-by-step explanation:

Given:

Number of minutes required =2 minutes.

Number of times frisbee fetch by dog = 6 times

We need to find Number of times the dog can fetch the frisbee in 4 minutes.

First we will find number of frisbee fetch in minute.

In 2 minutes = 6 times frisbee fetched by the dog

so in 1 minute = Number of times frisbee fetched by the dog in 1 minute.

By using Using Unitary method we get;

Number of times frisbee fetched by the dog in 1 minute = \frac{6}{2} =3

Hence in 1 minutes the dog can fetch frisbee 3 times.

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So for 4 minutes = Number of times frisbee is been fetched by dog in 4 min.

Again by using Unitary Method we get;

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8 0
3 years ago
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What is the solution of the following systems of equations? y = 1/2x <br> y = -x -3
SVEN [57.7K]

Answer:

<em>x = -2,  y = -1</em>

Step-by-step explanation:

<u>System of Equations</u>

Solve the system:

y = 1/2x

y = -x - 3

Multiplying the first equation by 2:

2y = x

Substituting x in the second equation:

y = -2y - 3

Adding 2y:

3y = -3

y = -3/3

y = -1

And x = 2*(-1) = -2

Solution: x = -2,  y = -1

7 0
3 years ago
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