All categories

3 years ago

What is the missing term that makes these ratios equivalent? 1.5:3, 31.5:____

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

<h3>Answer: 63</h3>

=========================================

Work Shown:

1.5/3 = 31.5/x

1.5x = 3*31.5 cross multiply

1.5x = 94.5

x = 94.5/1.5 dividing both sides by 1.5

x = 63

-----------

An alternative equation to solve is

1.5/31.5 = 3/x

1.5x = 31.5*3

1.5x = 94.5

The remainder of the steps are the same as in the previous section above.

You might be interested in

Solve the system by substitution y=10x y=-3x-104

NISA [10]

Answer: (-8, -80)

<u>Step-by-step explanation:</u>

y = 10x

y = -3x - 104

Substitute "y" with "10x" into the second equation, then solve for x:

10x = -3x - 104

13x = -104 <em>added 3x to both sides</em>

x = -8 <em>divided both sides by 13</em>

Next, substitute -8 for x into the first equation to solve for y:

y = 10(-8)

= -80

8 0

2 years ago

Boldface publishing company reported a loss of $17,225 in march. In April, the company showed a profit of $32,500. How much more

Dmitrij [34]

Answer:

Boldface publishing company had $49,725 more in April than March

Step-by-step explanation:

Step 1

Express the total amount of money Boldface had in March as shown;

Let the initial amount of money he had be;

initial=x

loss=$17,225

Net amount=initial amount-loss

Net amount in March=x-17,225

Step 2

Express the total amount of money Boldface had in April as shown;

Let the initial amount of money he had be;

initial=x

profit=$32,500

Net amount=initial amount+profit

Net amount in April=x+32,500

Step 3

To calculate how much more Boldface make in April than March;

Net amount in April-net amount in March

where;

net amount in April=x+32,500

net amount in March=x-17,225

replacing;

(x+32,500)-(x-17,225)

x+32,500-x+17,225

x-x+32,500+17,225=49,725

Boldface publishing company had $49,725 more in April than March

5 0

3 years ago

I NEEDDD HELPPPP PLEASE ILL GIVE U BRAINLEST

zepelin [54]

-2/1 I did this is math class , we’re on this unit to,

Explanation
Saying it’s a negative number because it is pointing in a left word position, you have to go down twice and over once to find the exact point where the line crosses over a point on the graph, and there you will get -2/1

4 0

3 years ago

Read 2 more answers

Triangle P R Q is shown. Angle R P Q is 39 degrees. The length of P R is 6, the length of R Q is p, and the length of P Q is 8.

KATRIN_1 [288]

According to law of cosines the length of RQ can be written as $p^{2} =6^{2} +8^{2} -2*6*8cos(39)$ .

Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.

A length of the triangle can be written as according to law of cosines if sides are given and one angle is $a^{2} =b^{2} +c^{2} -2bccos(A)$

We have to just put the values in the above equation.

as $p^{2} =6^{2} +8^{2} -2*6*8cos(39)$ .

p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.

Hence the side can be written as according to law of cosines if the angle is 39 degrees is as $p^{2} =6^{2} +8^{2} -2*6*8cos(39)$ .

Learn more about trigonometric functions at brainly.com/question/24349828

#SPJ10

7 0

1 year ago

Which statement is correct? A) 13/ 3 < 4.25 < 43 /10 B) 43 /10 < 13 /3 < 4.25 C) 4.25 < 13 /3 < 43/ 10 D) 4.25

Ivan

D. 4.25 < 43/10 < 13/3

4.25 = 4.25
43/10 = 4.3
13/3 = 4.33

4.25 < 4.3 < 4.33

4 0

3 years ago

Read 2 more answers