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3 years ago

The sum of two numbers is 131. One number is 6 more than 4 times the other. Which of the following is the smaller number

Mathematics

1 answer:

sertanlavr [38]3 years ago

3 0

Answer: oop

Step-by-step explanation:

Let X = smaller number

Let Y = larger number

Sum of numbers is 130 ==> X + Y = 130 ==> Y = 130 - X

4 times the smaller subtracted from the larger is 10 ==>

Y - 4*X = 10

Substitute the value for Y in to the 2nd equation

(130 - X) - 4*X = 10

130 - 5*X = 10

-5*X = -120

X = 24

Y = 130 - 24 = 106

Check: 24 + 106 = 130

106 - 4*24 = 106 - 96 = 10

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PLEASE HELP!

leva [86]

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

8 0

2 years ago

Which prism has a volume of 5 cubic units?

erastova [34]

Answer:

Step-by-step explanation:

5=1 1/4*4*1=1.25*4*1

so 1 and one fourth units by 4 units by 1 unit

6 0

3 years ago

Read 2 more answers

Can I have help with the question

sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y = $\frac{7}{9}$ x + $\frac{16}{9}$

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

$(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )$

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

$\frac{9-0}{0-7}=\frac{9}{-7}$

-> The slopes of two perpendicular lines are negative reciprocals of each other, so $\frac{7}{9}$ will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = $\frac{7}{9}$ (x-3.5)

y - 4.5 = $\frac{7}{9}$ x- $\frac{49}{18}$

y = $\frac{7}{9}$ x- $\frac{49}{18}$ + 4.5

y = $\frac{7}{9}$ x + $\frac{16}{9}$

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0

2 years ago

Merle opened a new savings account she deposited 40,000 at 10% compounded semiannually at the start of the fourth year merle dep

UNO [17]

happy first question!!!!

4 0

2 years ago

The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two

grandymaker [24]

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

$x+y=33$ (The sum of two integers is 33)
$x=6+2y$ (The larger is 6 more than twice the smaller)

2) Solve for one of the integer

Isolate x in the first equation

$x+y=33\\x=33-y$

Plug the first equation into the second

$33-y=6+2y$

Combine like terms

$33-6=2y+y\\27=3y\\9=y$

Therefore, the smaller integer is 9.

3) Solve for the other integer

$x+y=33$

Plug in y (9)

$x+9=33\\x=33-9\\x=24$

Therefore, the larger integer is 24.

I hope this helps!

4 0

3 years ago

Read 2 more answers