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sattari [20]
3 years ago
15

You collect a total of $75 in donations from three people. The three donations are in the ratio 4 to 4 to 7. How much is each of

the smaller donations? And how much greater is the largest donation then one of the smaller donations?
Mathematics
1 answer:
worty [1.4K]3 years ago
7 0
Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.
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An angle measures 3pi/4 radians.<br> What is this angle's measure, in degrees?
Annette [7]

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × \frac{180}{\pi }, so

degree = \frac{3\pi }{4} × \frac{180}{\pi }

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

5 0
3 years ago
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50 POINTS
MatroZZZ [7]

Answer:

see below

Step-by-step explanation:

(x) = 7 - 2x

Let t(x) =0

0 = 7-2x

Subtract 7 from each side

-7 = -2x

Divide by -2

-7/-2 =-2x/-2

7/2 =x

h(x) = 4x + 2

Replace x with x+3

h(x+3) = 4(x+3) + 2

Distribute

            = 4x+12 +2

            =4x+14

3 0
3 years ago
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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?
juin [17]

\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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7 0
3 years ago
Given congruent triangles ΔRST ΔLMN where MN = 33, LN = 54, and RT = 4x+6 . Find the value of x
Scilla [17]

Answer:

x=12

Step-by-step explanation:

We know that both triangles are congruent meaning corresponding parts are equal. We know that line LN=54 and that RT=LN meaning that RT also equals 54. With that information we can simply subtract 6 from 54 to get 48 then divide by 4 to get  12. Hope this helps!

7 0
3 years ago
what's the thickness of a rectangle prism with a height of 12 inches, a width of 8 inches and surface area 992 square inches?
Novosadov [1.4K]

Answer:

Thickness of rectangle prism is <em>20 inches.</em>

<em></em>

Step-by-step explanation:

Given:

Surface area of rectangular prism, A =  992 sq inches.

Height, h = 12 inches

Width, w = 8 inches

To find:

Thickness / length of prism, l = ?

Solution:

First of all, let us learn the formula for surface area of a rectangular prism.

Formula for surface area of a prism is given as:

A=2(wl+hl+hw)

As there are 6 faces, each face is a rectangle and area of all the faces is considered in the formula. It is just like a cuboid like structure.

Putting all the given values in the formula to find the value of l:

992=2(8l+12l+8 \times 12)\\\Rightarrow 496 = 20l + 96\\\Rightarrow 20 l =496-96\\\Rightarrow 20 l =400\\\Rightarrow l = \dfrac{400}{20}\\\Rightarrow l = 20\ inches

So, the answer is Thickness of rectangle prism is <em>20 inches.</em>

6 0
3 years ago
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