Which fraction is not in simplest form?
10/21

x = total age of boys

x / 30 = 11yrs

Multiply both sides by 30

x = 330

y = total age of girls

y / 20 = 12

Multiply both sides by 20

y = 240

(240 + 330) / 50 = 11.4 yrs

The average age of the whole class = 11.4 years.

A class has 30 boys and 20 girls.

The average age of boys and girls is 11 and 12 respectively.

The average age of the whole class.

Boys = No. of boys × Age

Boys = 30 × 11 = 330

Girls = No. of girls × Age

Girls = 20 × 12 = 240

Average Age = Boys + Girls / Total no. of boys and girls

Average Age = 330 + 240 / 50

Average Age = 570 / 50

Average Age = 11.4

Average age of of the whole class is 11.4 .

Answer:

x=45

Step-by-step explanation:

I did it and got it right

Answer:

  x ≥ 6; see below for a graph

Step-by-step explanation:

First inequality

  7x -6 > 8

  7x > 14 . . . . . . add 6

  x > 2 . . . . . . . .divide by 7

Second inequality

  3x+4 ≥ 22

  3x ≥ 18 . . . . . . subtract 4

  x ≥ 6 . . . . . . . . divide by 3

The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)

The solution to the inequalities is x ≥ 6.

__

Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

Answer:

x=4.5

Step-by-step explanation:

pm is equal to mr so you can set the equations to equal each other and solve

Answer:

Slope: [tex]-\frac{1}{2}[/tex]

y-intercept: [tex](0,2)[/tex]

Look below for graph.

Step-by-step explanation:

[tex]y=2-\frac{1}{2}x\\y=\frac{-1}{2}x+2[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

- 1/3

Step-by-step explanation:

-2/-3(-4)=

-2/12=

-1/3

Answer:

C and D

Step-by-step explanation:

i just took the quiz

From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Recal that,

An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac

a = 1, b = 0, c = -9

0² ≠ 4(1)(-9)

0 ≠ -36

∴ x² - 9 is NOT a perfect square trinomial

a = 1, b = 0, c = -100

0² ≠ 4(1)(-100)

0 ≠ -400

∴ x² - 100 is NOT a perfect square trinomial

a = 1, b = -4, c = 4

(-4)² = 4(1)(4)

16 = 16

∴ x² - 4x +4 is a perfect square trinomial

a = 1, b = 10, c = 25

(10)² = 4(1)(25)

100 = 100

∴ x² +10x +25 is a perfect square trinomial

a = 1, b = 15, c = 36

(15)² ≠ 4(1)(36)

225 ≠ 144

∴ x² - 4x +4 is a NOT perfect square trinomial

Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855

Answer:

[tex]2\sqrt[4]{3}[/tex]

Step-by-step explanation:

[tex]48^\frac{1}{4} = \sqrt[4]{48}[/tex]

Expanding [tex]\sqrt[4]{48}[/tex] gives [tex]\sqrt[4]{2*2*2*2*3}[/tex] which is equal to [tex]2\sqrt[4]{3}[/tex]

The answer is Sometimes

Answer:

Devon, Tasha, Liza, Evan

Step-by-step explanation:

Devon is the fastest with 6.0999

Tasha is second fastest with 6.168

Liza is third fastest with 6.188

and Evan is the slowest with 6.2.

Answer:

6,000 feet

Step-by-step explanation:

Answer:

9x-4y-87

Step-by-step explanation:

2x-4y+7x-87

9x-4y-87

Answer:

9x-4y-87

Step-by-step explanation:

7x+2x=9x

-4y has no similar variable

-87 has no similar variable

therefore the answer is 9x-4y-87

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

[tex]\frac{4^4 4^6}{4^{-10}}[/tex]

He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.

[tex]\frac{4^{10}}{4^{-10}}[/tex]

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].

[tex]10 - (-10) = 10+10 = 20[/tex]

So the final answer should have been [tex]4^{20}[/tex]

Hope this helped!

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

Answer:

17 ft.

Step-by-step explanation:

just add all the values to get the perimeter.

Perimeter = 3ft +4+3+4+3

=17 feet

Therefore.., 17ft is the perimeter..

Answer:13

Step-by-step explanation:

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

a) pattern is minus 5

b) pattern is minus 8

c) pattern is plus 4

Answer: mixed number 327 1/3

Step-by-step explanation:

5892/ 1÷18/ 1=327 1/3

put each number over one to turn it into a fraction.

The answer in fraction form is 982/3 or 327 (1 / 3).

Given,

5892 ÷ 18

We need to divide it in fraction form.

Suppose we have two fractions:

a/b and c/d

Divide a/b by c/d

Now,

a/b ÷ c/d

a/b x d/c

Divide 5892 ÷ 18 in fraction form.

Write 5892 and 18  in fraction form:

- 5892/1

- 18/1

Now,

= 5892 / 1 ÷ 18/1

= (5892/1) / (18/1)

= (5892/1) x (1/18)

= (5892 x 1)  / (1 x 18)

= 5892 / 18

Write it in 6 multiples

= (6 x 982) / (6 x 3)

6 gets cancelled

= 982 / 3

We can write it in mix fraction.

= 327 (1 / 3)

Since,

3 x 327 = 981

981 + 1 = 982

Thus the answer in fraction form is 982/3 or 327 (1 / 3).

Learn more about dividing in dividing a fraction by a fraction here:

https://brainly.com/question/14582918

#SPJ2

Answer:

Simplify the expression.

−16x

Step-by-step explanation:

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

I think it's A) <1 and <2

Step-by-step explanation:

I am not 100% on this, but Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side.

Answer:

C

Step-by-step explanation:

f(0)= 3 - 6 (0)

f(0)= 3 - 0

f(0)= 3

Answer:

≠

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

Answer:

x+x+7-x=44

x+7=44

x=44-7

x=37

Answer:

Because a range cannot have more than one domain number

Step-by-step explanation:

17 is in the domain twice

Answer:

the answer is 8 very easy and very simple have a great

day ☺️

Answer: 6.84 x 10^-3

Step-by-step explanation:

Answer:

[tex]6.84 \times 10 {}^{ - 3} \: \: \: is \: the \: scientific \: notation.[/tex]

Answer:

Step-by-step explanation:

5x - 3 = 2(x +2)^2

Don't try this. It is a double ugly equation. But you can see that you use the power property. You use the distributive property. You use addition and subtraction and division and multiplication to solve it.