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3 years ago

One integer is 5 more than another integer. Their sum is -13. What are the two integers?

Mathematics

1 answer:

Goshia [24]3 years ago

8 0

Answer:

-4 and -9

Step-by-step explanation:

Let us use variables.

Let x = 5 + y

and x + y = -13

Now we can solve this problem.

x + y = -13

(5 + y) + y = -13

5 + 2y = -13

2y = -13 - 5

2y = -18

y = -9

x = 5 + -9

x = -4

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What is Perpendicular to 5x-3y=30 and passing through (-2,7)

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$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2$

We have:

$k:5x-3y=30\ \ \ \ |-5x\\\\-3y=-5x+30\ \ \ \ |:(-3)\\\\y=\dfrac{5}{3}x-10\to m_1=\dfrac{5}{3}\\\\l:y=m_2x+b\\\\k\ \perp l\Rightarrow \dfrac{5}{3}m_2=-1\ \ \ \ |\cdot\dfrac{3}{5}\\\\m_2=-\dfrac{3}{5}$

$l:y=-\dfrac{3}{5}x+b$

The line l is passing through (-2, 7). Substitute the coordinates of the point to the equation of a line l:

$7=-\dfrac{3}{5}\cdot(-2)+b\\\\\dfrac{6}{5}+b=7\ \ \ \ |-\dfrac{6}{5}\\\\b=\dfrac{35}{5}-\dfrac{6}{5}\\\\b=\dfrac{29}{5}$

$l:y=-\dfrac{3}{5}x+\dfrac{29}{5}\ \ \ \ |\cdot5\\\\5y=-3x+29\ \ \ \ |+3x\\\\3x+5y=29$

<h2>Answer: 3x + 5y = 29</h2>

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3 years ago

Smallville had a population of 5,000 people. Every week half of the people move away from smallville. After T weeks less than 16

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Step-by-step explanation:

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14 tiles would be able to go on that one side of the counter

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3 years ago

Clifford is making a really big white cake for his sisters birthday. The recipe calls for 1.5 times as much flour as sugar. It a

pantera1 [17]

<u>Answer:</u>

The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter

<u>Explanation</u>:

Consider the number of cup of flour used to be x

According to question,

Recipe calls for 1.5 times as much flour as sugar

Sugar = $1.5 \times Flour$

Sugar = 1.5x

Butter = ½ x = 0.5x

According to question,

Flour + Sugar + Butter = 7.5

x + 1.5x + 0.5x = 7.5

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