2 years ago

Y=3x, x+y=52 Solve by subtracting

Mathematics

1 answer:

Nesterboy [21]2 years ago

5 0

Answer:

x=13,y=39

Step-by-step explanation:

y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

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Sam is making a case for his calculator. It is a rectangular prism that will be 5.5 inches long by 2 inch wide by 5 inches high.

White raven [17]

Answer:

97in³

Step-by-step explanation:

L = 5.5, W = 2, H = 5

2(h × W) + 2(h × L) + 2(W × L)

= 2(5*2) + 2(5*5.5) + 2(2*5.5)

= 2(10) + 2(27.5) + 2(11)

= 20 + 55 + 22

= 97in³

8 0

2 years ago

Mathew’s mom asked him to go to the store for her. To get to the store he walked seven blocks. He caught the bus and rode 13 blo

SVETLANKA909090 [29]

7+13+1.5=21.5

If he did it again the way back, it's 21.5 times 2.

He went a total of 43 blocks.

6 0

3 years ago

Read 2 more answers

Convert to standard form: y=1/3x + 3/4

ira [324]

Answer:

4x-12y=9

Step-by-step explanation:

y=1/3 x + 3/4

1/3 x-y=3/4

(x-3y)/3=3/4

4(x-3y)=3×3

4x-12y=9

6 0

2 years ago

Solve x3= 27.<br> A = 13<br> B. x= 5.2<br> C. x=3<br> D. x=9

scoray [572]

Answer:

x³=27

cuberoot√x³=cuberoot of 27

x=3

3 0

2 years ago

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Find the length of the line PA.

Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

$A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60$

The area of right triangle:

$A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30$

Use the Pythagorean theorem to calculate the length of RO:

$|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13$

The formula of an area of this right triangle is:

$A_T=\dfrac{1}{2}|RO||PA|$

Therefore we have the equation:

$\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62$

8 0

2 years ago