The ratio of boys to girls in a group is 7.1. If there are 54 more boys than girls, work out how
many boys there are,

Answer:

1753

Step-by-step explanation:

Answer:

23.1

Step-by-step explanation:

The radius of the cone is

32÷2

16

So the equation is

s²=r²+h²

h²=s²-r²

h=√s²-r²

h=√28.1²-16²

h=√789.61-256

h=√533.61

h=23.1

Answer:

The quotient is 2.352

Step-by-step explanation:

The term quotient is simply the result of division

Thus; if we divide 54.096 by 23, we get 2.352

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

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Answer:

Please find attached the required flow chart proof created using Microsoft Visio

Step-by-step explanation:

The given parameters are;

[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC

Required to proof that ΔABD ≅ ΔCBD

The two column proof is given as follows;

Statement                [tex]{}[/tex]            Reason

[tex]\overline {BD}[/tex] bisects ∠ADC    [tex]{}[/tex]           Given

∠ADB ≅ ∠CDB    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] bisects ∠ABC    [tex]{}[/tex]           Given

∠ABD ≅ ∠CBD    [tex]{}[/tex]                Definition of angle bisector

[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex]            [tex]{}[/tex]                Reflexive Property

ΔABD ≅ ΔCDB    [tex]{}[/tex]                ASA

The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.

Answer:

Yes

Step-by-step explanation:

Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her [tex]\frac{13}{4}[/tex] which is the same as [tex]\frac{26}{8}[/tex]

Answer:

Ramon will read 70 each night.

Step-by-step explanation:

25% of 280

REMEMBER: "Of" means to multiply

25% x 280

Convert the percent into a decimal

0.25 x 280 = 70

So Ramon will read 70 pages each night.

Hope this helps!!

Answer:

true because when you add negatives it's the same as subtracting, so, you're just going further negative

Answer:

<ABC=82°

< FEC=90°

Step-by-step explanation

Answer:

40%

Step-by-step explanation:

because im just built different

Answer:

(-3,12)

Step-by-step explanation:

Answer:

No, it is not fair

Step-by-step explanation:

Here, we want to check if this is a fair game

To win a sum, a duck with a green star on the underside must be selected

The number of ducks with this is 4 out of 75

The probability of selecting one is 4/75

The expected value of selecting is ;

4/75 * 10 = 0.5333

The cost of selecting a duck is $1

The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467

Since the price to lose and the amount to win is not the same, then the game is not fair

Answer:

decimal form: 3.106

word form:   3 and one hundred and 6 thousandths

Step-by-step explanation:

Answer:

Decimal form:

Word form:

Step-by-step explanation:

Answer: a to the 3rd power and b to the 2nd power.

Step-by-step explanation:

You could do a*a*a and b*b.

Either way it's a3b2

Answer:

[tex]abaab = a^3b^2[/tex]

.

Step-by-step explanation:

[tex]a^n \times a^m = a^{n + m}[/tex]

Answer:

The first one is 3x+1

The second one is 3/4x - 2

Step-by-step explanation:

Look where the line intersects then count the dots to where the next point is.

Answer:

yes

Step-by-step explanation:

For a relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.

Since the relation is a straight line , then each value of x will only map to one unique value of y ( passes the vertical line test )

Answer:

3

To find:

x

Step-by-step explanation:

3x + 5 = 7x – 7

3x - 7x = -7 - 5

-4x = -12

x = -12/-4

x = 3

hope it helps u!

Answer:

-12ab-30ac

Step-by-step explanation:

Answer:

he's getting the ps5

Step-by-step explanation:

In conclusion if the store has the ps5 he's getting it and if not he wont

Answer:

42.37x+175 good luck on this

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Answer:

The correct answer is (2,1)

Step-by-step explanation:

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

1) [tex]d = \sqrt {\left( {-2- 6} \right)^2 + \left( {-1 - 3} \right)^2 }[/tex]    

  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

2)      M(x , y) = { (-2 + 6)/2 , (-1 + 3)/2  }

                     =  (2 , 1)

3)  m = { (6 - (-2) / (3 - (-1)) }

        = 1/2

Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

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Answer: 14x -8= -112

Step-by-step explanation:

Answer:

I wish you the best dont let people brign you down sending love

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. ST > MN (ST is NOT congruent to MN)

2. BA > BC (not congruent)

3. m∠L < m∠P and m∠T < m∠R

4. m∠A < m∠B and m∠C

   m∠D and m∠E > m∠F

I am not sure what the questions are yet hope it helps

Answer:

she needs 6 containers.

Step-by-step explanation:

1 pound goes into each container. 6/1=6 so she needs 6 containers.

Answer:

28/100

Step-by-step explanation:

Answer:

can u type the words out

Step-by-step explanation:

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

This question can be written algebraically as [tex]-\frac{7}{10} x=\frac{1}{2}[/tex]

And the image below shows step-by-step on how to solve it

Hope this helps! :)

Answer:

help with what

Step-by-step explanation: