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Kryger [21]
3 years ago
9

A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have

an average of 84?
76​, 93​, 89​, 71
The minimum grade he must get on the last test in order to have an average of 84 is x
What is X?
Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

91

Step-by-step explanation:

I used a calculator and if you add 76​, 93​, 89​, 71 to 91 it equals 420 and if you divide that by 5 it is 84.

Hope this helps!

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Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp
ycow [4]

Answer:  The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Number of boys added: 18 </em>
  • <em>Ratio of boys to girls: 5:4 </em>

So, the total number of boys is:

x + 18  

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0
3 years ago
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at
Crazy boy [7]

Answer:

f(x)=5.05 sin((pi/12)x) + 5.15

Step-by-step explanation:

5 0
3 years ago
In the above figure, m∠A = 32° and m∠B = (2x + 14)°. If angles A and B are complementary angles, what are the value of x and the
Neko [114]

Complementary angles have a sum of 90

32+2x+14=90

2x+46=90

2x=44

x=22 the second angle is 58

2(22)+14=58

5 0
3 years ago
Which number represents the country of Egypt <br> A) 1 <br> B) 2<br> C) 3<br> D) 4
valkas [14]

Answer:

2

Step-by-step explanation:

the way I remember is that Egypt is always the top right country

5 0
3 years ago
Read 2 more answers
DEF is a dilation image of ABC. What is the scale factor?
horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

7 0
2 years ago
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