What is x in the equation28=8+5x?

ddd [48]

AVERAGE between 90 and 100%
means not including 90 and 100% but not including 90 or 100%

average=(sum of values in set)/(how many values in the set)

so
4 exams, so there are 4 values
average=(sum)/4

the sum is the known+unknwon
sum=76+99+86+x

so
90<average and average <100
or
90<average<100

lets say average=a

a=sum/number
a=(76+99+86+x)/4

90<(76+99+86+x)/4<100
90<(76+99+86+x)/4 and (76+99+86+x)/4<100

solve each for x and find intersection

90<(76+99+86+x)/4
times 4 both sides
360<261+x
minus 261 both sides
99<x

(76+99+86+x)/4<100
times 4 both sides
261+x<400
minus 261 both sides
x<139

so

99<x<139
since max score is 100
99<x<100

interval notaion is
[99,100]

answer is 2nd one

3 0

3 years ago

Read 2 more answers

What is the area of this composite shape? Enter your answer in the box. _in²

LuckyWell [14K]

The area of the composite figure is $40 in^2$

Explanation:

From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.

Area of the rectangle $(A_1)$ :

The formula is given by

$A_1=length\times width$

where $length = 5$ and $width = 5$

Substituting, we have,

$A_1=7\times 5=35 in^{2}$

Thus, the area of the rectangle = $35 i n^{2}$

Area of the triangle $(A_2)$ :

The formula is given by

$A_2=\frac{1}{2} bh$

where $b=5-3=2 i n$

and $h=12-7=5 \text { in }$

Substituting, we have,

$A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}$

Thus, the area of the triangle = $5in ^{2}$

Area of the composite figure = Area of the rectangle + area of the triangle

Area of the composite figure = $35 i n^{2}+5 i n^{2}=40 i n^{2}$

Thus, the area of the composite figure is $40 in^2$

3 0

3 years ago

Math Question (10 Points):

RoseWind [281]

The correct answer is A

6 0

3 years ago

Read 2 more answers

a larger gear wheel has 40 teeth and a small gear wheel has 25 teeth. if the larger one makes 100 revolutions in a minute, how m

nevsk [136]

Lets calculate gear ration T2/T1
so the gear ratio will be 1.6 it simply means dat if u rotate large gears one full revolution it tends to turn another short wheel to 1.6 revs, so in ur qtion the large whell revs 100 den u must multiply wid 1.6*100= 160 revs

5 0

3 years ago

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two

maxonik [38]

The first mistake of Ana is sum of interior is 180° that is given by the definition. Then the correct option is A.

The statements, reasons, and options are attached below.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two interior angles not adjacent to it.

∠1 + ∠2 + ∠3 = 180° (By definition of triangle)

∠3 + ∠4 = 180° (By definition of linear angle)

∠1 + ∠2 + ∠3 = ∠3 + ∠4 (Substitution)

∠1 + ∠2 = ∠4 (Subtraction on both side by ∠3)

The first mistake of Ana is sum of interior is 180° that is given by the definition.

Then the correct option is A.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

6 0

2 years ago