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4 years ago

Which statement correctly explains how Mari could find the solution to the following system of linear equations using

Mathematics

1 answer:

just olya [345]4 years ago

7 0

Multiply the first equation by 7 and the second equation by 2, and then add.

Step-by-step explanation:

2f - 5g=-9

-7f + 3g=4

To eliminate any variable , we need to make the coefficients same with different sign and add it

the coefficient of 'f' in first equation is 2

the coefficient of 'f' in second equation is -7

We already have different sign so we make the coefficients same

To make the coefficient same , we multiply the first equation by 7 and second equation by 2

So equation becomes

14f - 35g = -63

-14f + 6g = 8

Now when we add both equations, 'f' gets cancelled

-29g = -55

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10) The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 1. What PERCENT of the class is girls

klio [65]

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%

7 0

2 years ago

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh

Elanso [62]

Answer:

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

Step-by-step explanation:

we know that

The dimensions of the garden in the actual are 10 ft by 5 ft

The dimensions of the garden on the scale drawing are 12 in. by 6 in

step 1

Find the scale factor

To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual

$\frac{12}{10}\ \frac{in}{ft}$

simplify

$1.2\ \frac{in}{ft}$

That means

1.2 inches in the drawing represent 1 foot in the actual

step 2

Find out the dimensions of the herb garden on the scale drawing

we know that

The dimensions of the herb garden in the actual are 2 ft by 5 ft

Multiply by the scale factor

$2\ ft=2(1.2)=2.4\ in$

$5\ ft=5(1.2)=6\ in$

therefore

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

5 0

3 years ago

The height of the cylinder is 25 inches and the radius of its base is 5 inches. What is the surface area of this cylinder, in te

Vikentia [17]

ok you need formula for surface area.

SA = πrh+2πr^2

Plug in 25 and 5

SA = 2π(5)(25)+2π(5)^2

SA = 10pi*25 + 2pi(25)

SA = 250pi + 50pi

SA = 300pi

Hope this helps :)

Jeron

4 0

2 years ago

Translate the phrase into an algebraic three dollars more than twice the cost of a bowl of soups 2+3

Softa [21]

Answer:

3+2c

Step-by-step explanation:

To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.

7 0

4 years ago

What is 7 1/5written as a percent

salantis [7]

720% is your answer! Think of it as money! 1/5 out of 100 is 20 cents, 7 is 7 dollars. 720 pennies all together so 720%! Hope this helps.

Please give brainliest❤️

3 0

3 years ago

Read 2 more answers