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Elanso [62]
2 years ago
10

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mrs. Hanson, the P.

E. teacher, is pairing off students to race against each other. Britney can run 4 yards per second, and Darnell can run 5 yards per second. Mrs. Hanson decides to give Britney a head start of 31 yards since she runs more slowly. Once the students start running, Darnell will quickly catch up to Britney. How long will that take? How far will Darnell have to run?
Mathematics
1 answer:
Vsevolod [243]2 years ago
5 0
I am sorry but I don’t think I can answer this
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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
denis23 [38]

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

x-y=16 or x=16+y   .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

\frac{1x}{8}+\frac{1y}{2}=52   ... (2)

Putting the value of x=16+y in equation (2)

\frac{16+y}{8}+\frac{y}{2}=52

\frac{16+y+4y}{8}=52

\frac{16+5y}{8}=52

16+5y=416

5y=400

y=80

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.


8 0
3 years ago
Which of the following sets represents MUN?
Anuta_ua [19.1K]

Answer:

  • <u>Third choice: {3, 4, 6, 7, 9}</u>

Explanation:

<em>M ∪ N</em> means the union of the segments M and N. That is, the complete list of objects that are either in the set M or N.

The circle on the left of diagram shows that the elements inside the set M are 3, 4, 7 and 9.

The circle on the right of the diagram shows that the elements inside the set N are 4, 6 and 7.

The complete list of the numbers in either M or N is 3, 4, 6, 7, and 9 (you must not repeat the elements that belong to both sets but indicate them just once.

So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.

7 0
3 years ago
Find the solution set for this equation.<br> a2 + a=0<br> Separate the two values with a comma.
ira [324]

Answer:

a = 0,-1

Step-by-step explanation:

a^2 + a=0

Factor out an a

a(a+1) =0

Using the zero product property

a=0   a+1 =0

a=0  a= -1

6 0
3 years ago
so i just started modeling and two step inequalities and my question is 62°f and it drops 2 degrees every hour .How many hours w
Ganezh [65]

It was 11 hours because if the temperature drops 2 degrees after every hour, after 11 hours, the temperature would have dropped 22 degrees and 62 - 22 = 40.

3 0
3 years ago
Read 2 more answers
Ada writes 10 + 8 = 18 on the board. Maria wants to use the commuatative property of addition to rewrite adas addition sentence.
ahrayia [7]
"commutative property" in addition and multiplication means that you can exchange the places of integers in addition and multiplication and still get the same answer.

For this question:
10 +  8 = 18 can be rewritten using commutative property as: 8 + 10 = 18
8 0
3 years ago
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