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Vadim26 [7]
3 years ago
6

Devon is 30 years older than his son, Milan. The sum of both their ages is 48. Using the variables d and m to represent the ages

of Devon and Milan, respectively, write a system of equations to describe this situation.
Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer+Step-by-step explanation:

m = man's age

s = son's age

m=s+36

(m+8)=3*(s+8)

Resolves to: s=10, m=46

So the man is 46 (=10+36).

In 8 years, son is 18 (=10+8), man is 54 (=3*18 and 46+8), thank you.

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(29) A runner is running 10 miles per hour.
leva [86]

The conversions factors needed are 1 mile= 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s  

<u>Solution: </u>

Given, A runner is running 10 miles per hour.  

We have to find what conversion factors should be used to convert 10 mi/hr to ft/s?

Now, speed of runner = 10 miles per hour.

But we need the units to be in ft / s.

Then, conversion factors are miles to feet and hours to seconds.

Now, miles to feet ⇒ 1 mile = 5280 feet.

Now, hours to seconds ⇒ 1 hour = 3600 seconds

\begin{array}{l}{\text { So,speed }=10 \frac{\text { miles }}{\text { hour }}} \\\\ {\text { speed }=10 \times \frac{1 \text { miles }}{1 \text { hour }}} \\\\ {\text { Speed }=10 \times \frac{5280 \text { feet }}{3600 \text { seconds }}} \\\\ {\text { Speed }=\frac{52800}{3600}=14.67 \mathrm{ft} / \mathrm{s}}\end{array}

Hence, the conversions needed are 1 mile = 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s

6 0
3 years ago
If the graphed line goes up from left to right, then the slope is positive.
irga5000 [103]

Answer:

a) True

Step-by-step explanation:

The left side is where the corner or 0 is, so if a line goes up towards the right, the answer would be positive.

7 0
3 years ago
Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. Each apple cost $1.25 and eac
SIZIF [17.4K]

Answer: apples = 7 and bananas = 8

Step-by-step explanation:

Let x represent the number  of apples and y represent the number of banana,

and it was said that the total apples and bananas altogether is 15 , that is

x + y = 15 ................. equation 1

Also,

1.25x + 0.40y = 11.95 ............. equation 2

Solving the two equations simultaneously ,

From the first equation, x = 15 - y ........... equation 3

substitute equation 3 into equation 2, we have

1.25(15 - y) + 0.40y = 11.95

18.75 - 1.25y + 0.40y = 11.95

18.75 - 0.85y = 11.95

18.75 - 11.95 = 0.85y

6.8 = 0.85y

therefore y = 6.8/0.85

= 8

substitute y = 8 , into equation 3

x = 15 - 8

x = 7

Therefore , she bought 7 apples and 8 banana

4 0
3 years ago
State what additional information is required in order to know what the triangles are congruent by SSS.
soldi70 [24.7K]

Answer:

  see below

Step-by-step explanation:

In order to show congruence by SSS (Side-Side-Side), you need to have 3 pairs of sides congruent. The diagram shows two pairs congruent (those of choice B), so you need information that the third pair of sides is congruent, choice D.

__

Any answer choices involving angles are irrelevant for SSS congruence.

4 0
3 years ago
Heeeeelp meeee ☺
neonofarm [45]
Hope this helped you :)

4 0
3 years ago
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