There are 9 boys and 6 girls in a hall, each holding coins in their hand. The mean number of coins for the children is 18 The mean number of coins for the boys is 14 Work out the mean number of coins for the girls.

Answer:

[tex]XZ=146[/tex]

Step-by-step explanation:

Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:

[tex]XM+MZ=XZ[/tex]

[tex]XM=MZ[/tex]

Identify your known values:

[tex]XM=2x+35\\MZ=5x-22\\[/tex]

Solve for [tex]x[/tex]:

[tex]2x+35=5x-22[/tex]

Subtract [tex]35[/tex] from both sides of the equation:

[tex]2x=5x-57[/tex]

Subtract [tex]5x[/tex] from both sides of the equation:

[tex]-3x=-57[/tex]

Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:

[tex]x=19[/tex]

Substitute:

[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]

Solve:

[tex]XM=73\\MZ=73[/tex]

Again, we know:

[tex]XM+MZ=XZ[/tex]

Therefore:

[tex]XZ=73+73[/tex]

Solve:

[tex]XZ=146[/tex]

Answer:

11 and 12, closest to 11

Step-by-step explanation:

The square root of 130 falls between 11 and 12

Since 11 squared is 121 and 12 squared is 144.

130 is closer to 121, making it closer to 11 than to 12.

Hope this helps :)

Answer:

8

Step-by-step explanation:

2 (2)(2)

2 times itself 3 times.

Answer: 8

Step-by-step explanation: Since 2 is to the power of 3 that means multiply by itself 3 times, so 2 x 2 x 2 = 8.

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Answer:

2/3

Step-by-step explanation:

Simplify the following:

(8/27)^(1/3)

Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).

(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):

(8^(1/3))/(27^(1/3))

Hint: | Simplify radicals.

27^(1/3) = (3^3)^(1/3) = 3:

(8^(1/3))/3

Hint: | Simplify radicals.

8^(1/3) = (2^3)^(1/3) = 2:

Answer: 2/3

Answer:

M(3/2,−9/2)

explaination:

the midpoint of a segment is the average values of the endpoint coordinates ie midpoint of ( x 1 , y 1 ) , ( x 2 , y 2 ) M ( x 1 + x 2 2 , y 1 + y 2 2 ) we ahve ( 3 , − 6 ) , ( 0 , − 3 ) ∴ M ( 3 + 0 2 , − 6 + − 3 2 ) M ( 3 2 , − 9 2 )

Answer:

2.80×50

Step-by-step explanation:

2.80×50 step by step

Answer

14

you have to simplify

8+1/2(12)

14

Answer:

A and C

Step-by-step explanation:

Took the test :/

Answer:

C

Step-by-step explanation:

[tex]15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\[/tex]

The expression 15x^(1/3) y^(1/5) can be written as 15 * ∛x * ∜y

To express 15x^(1/3) y^(1/5) using a radical, we will start by writing each term with a common base.

Now express x^(1/3) as a radical. We know x^(1/3) is the cube root of x, this is rewritten as ∛x.

Now, we express y^(1/5) as a radical. We know that y^(1/5) is the fifth root of y, so we is rewritten it as ∜y.

Putting it all together, we have:

15x^(1/3) y^(1/5) = 15 * ∛x * ∜y.

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Answer:

D -$7.20

Step-by-step explanation:

so your answer is -$7.20

I hope this helps

$7.20 will be Jennys total allowance.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.

If she forgets three times in a month.

Thus, Jennys total allowance will be

=2.40 x 3

=$7.20

Hence, $7.20 will be Jennys total allowance.

Learn more about unitary method here:

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Answer:

answer is 5

Step-by-step explanation:

I used a calculator

The system of equation should be C) 250x+150y=550 ; 180x+120y=420

250x+150y=550 ; 180x+120y=420

Find out more information about the  equation here:

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Answer:

Step-by-step explanation:

√a^2 + b^2 =a+b

√ (a+b)^2 =a +b

The square root and the square cancel making

√a^2+b^2=a+b

Answer:

12/35

Step-by-step explanation:

Given the expression;

-4/5(3/5)(-6/7)(5/6)

First multiply the first two brackets

-4/5×3/5

= -12/25

Multiply the last expression in its lowest term

= -6/7×5/6

= -30/42

= -15/21

= -5/7

Multiply the resulting expressions together

= -12/25×-5/7

= -12/5×-1/7

= 12/35

Hence the beat estimate for the actual product is 12/35

Answer:

B

Step-by-step explanation:

Took the test ;)

Answer:

Step-by-step explanation:

Put (-6,0) and (0,3) into a table of values

form of the equation: mx+b

x -6 0

y 0 3

3/-6=-0.5 (m)

3=b (the value of y when x=0)

equation: y=0.5x+3

Answer: D

Step-by-step explanation:

To solve this problem, let's go through each pair to see if they are perpendicular lines.

A. Incorrect

These are parallel lines. We know this because they have the same slope and different y-intercept.

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B. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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C. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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D. Correct

These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.

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E. Incorrect

These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

Answer:

56

Step-by-step explanation:

(7/20)=(x/160)

160(7/20)=x

x=56

Answer:

d

Step-by-step explanation:

[tex]\frac{9}{4}[/tex]Answer:

[-17, -[tex]\frac{9}{4}[/tex]

graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4   THEN another closed circle on -17 shaded to the right so they meet in the middle        

Step-by-step explanation:

-x-5 greater than or equal to 3x+4

-x-5 ≤ 12

x ≤ -9/4

-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)

Answer:

Step-by-step explanation:

3(9x - 14/3x + 4 - 1 ≥ 2)

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6

13x ≥ -3

x ≥ -3/13

Answer:

x ≥ - [tex]\frac{3}{13}[/tex]

Step-by-step explanation:

Given

9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2

Multiply through by 3 to clear the fraction

27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6 ( subtract 9 from both sides )

13x ≥ - 3 ( divide both sides by 13 )

x ≥ - [tex]\frac{3}{13}[/tex]

Answer:

254c = 333

Step-by-step explanation:

254c = 333

Answer:

Step-by-step explanation:

g(f(x))

g(-x^2 - 1)

-x^2 + 0x + 4= -x^2 + 4

Answer:

64

Step-by-step explanation:

Let the common multiplier of the given ratio be x.

Therefore,

Number of males = 8x

Number of females = 6x

[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

Answer:

  C.  It is just right.

Step-by-step explanation:

We want to compare the ratios ...

  bags : liters = 15 : 2

and

  bags : liters = 90 : 12

If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:

  (15)(6) : (2)(6) = 90 : 12

The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.

Answer:

C its just right

Step-by-step explanation:

Answer:

x=6.2

Step-by-step explanation:

3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)

6x-12+3x+1=5x+21-x-1

combine like terms:

9x-11=4x+20

move variables to same side by sub 4x and add 11

5x=31

x=6.2

Hey there!☺

[tex]Answer:\boxed{-z-3}[/tex]

[tex]Explanation:[/tex]

[tex]-3-z[/tex]

-3 + -z Add together

-z - 3

Hope this helps!