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Bas_tet [7]
3 years ago
8

Maria's first four test scores were 60, 90, 90, and 70. What what does she need to make on the fifth test to maintain a 70 avera

ge?
Mathematics
2 answers:
Marta_Voda [28]3 years ago
4 0

Answer:

She needs to get a score of 40 on the fifth test to maintain a 70 average

Step-by-step explanation:

The idea is to calculate an average among the scores. The formula is the sum of all scores divided between the number of scores.

average = \frac{sum\, of\, scores}{number\, of\, scores}

First step

If the idea is to include a fifth score to maintain an average of 70, it should be included in the equation as a variable x. According to the previous equation:

70 = \frac{60+90+90+70+x}{5}

The next step is to find x.

x = (70)\times (5) - (60+90+90+70) = 40

Conclusion

Hence, she needs to get a score of 40 on the fifth test to maintain a 70 average.

snow_lady [41]3 years ago
3 0
A 40 is the lowest she can make and that would give her exactly a 70 average. 
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Suppose you want to draw a rectangle where the width is 7 inches less than the length and the diagonal is 2 inches longer than t
IrinaK [193]
The diagonal of a rectangle is:
 d ^ 2 = w ^ 2 + l ^ 2
 Where,
 w: width
 l: long
 Substituting values we have:
 (l + 2) ^ 2 = (l-7) ^ 2 + l ^ 2
 Rewriting we have:
 l ^ 2 + 4l + 4 = l ^ 2 -14l + 49 + l ^ 2
 l ^ 2 -14l + 49 - 4l - 4 = 0
 l ^ 2 -18l + 45 = 0
 (l-15) (l-3) = 0
 The solutions are:
 l = 15
 l = 3
 The viable solution is:
 l = 15
 Thus, the width is:
 w = l-7
 w = 15-7
 w = 8
 Answer:
 
the dimensions of the rectangle are:
 
l = 15
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8 0
3 years ago
A turtle can walk 1/12 of a kilometer in an hour the turtle is 1/5 of a kilometer away from a pond
34kurt

Answer:

2\frac{2}{5}\ h

Step-by-step explanation:

we know that

A turtle can walk 1/12 of a kilometer in an hour

so

by proportion

Find how long will it take the turtle to reach the pond (1/5 km)

\frac{1}{(1/12)}\frac{h}{km}=\frac{x}{(1/5)}\frac{h}{km} \\ \\x=\frac{(1/5)}{(1/12)} \\ \\x=\frac{12}{5}\ h

Convert to mixed number

\frac{12}{5}\ h=\frac{10}{5}+\frac{2}{5}=2\frac{2}{5}\ h

5 0
3 years ago
Read 2 more answers
(d -10) + (d ÷ 3) for d = 21. explain
julsineya [31]


Substitute the number 21 for all the letter d's:

(21-10) + (21/3) = ?

11 + 7 = 18

3 0
4 years ago
If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is
Evgen [1.6K]

Answer:

g(f(x))=(3x+5)^2+1

Step-by-step explanation:

You will input f(x) into x of the g(x)

g(x)=(f(x))^2+1

6 0
3 years ago
Find m<1 and m<3 in the kite. the diagram is not drawn to scale.
nikklg [1K]

Answer: Choice c.  39; 51

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

Explanation:

Using the SSS congruence theorem, we can show that triangle ABC is congruent to triangle ADC. This in turn means that angle BAC is congruent to angle DAC as these are corresponding angles.

So angle 1 is 39 degrees.

----------------------------------------

For any kite, the diagonals always are perpendicular (this can be proven using a similar idea as shown above, but a bit more steps are needed). This means they meet at a right angle, and angle 2 is 90 degrees.

Let point E be the intersection point of the diagonals.

Since angle AEB is 90, this makes angle AED also 90.

Focus entirely on triangle AED. This is a right triangle.

In this triangle, A = 39, E = 90, and D is unknown

Let's find angle D

A+E+D = 180

39+90+D = 180

129+D = 180

D = 180 - 129

D = 51

Angle D is 51 degrees, which also means angle ADB = 51 degrees. This is the measure of angle 3.

----------------------------------------

We found that

  • angle 1 = 39 degrees
  • angle 3 = 51 degrees

Therefore, the final answer is choice C

7 0
3 years ago
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