The ratio of boys to girls in a group is 5:1 if there are 60 more boys than girls work out how many people there are in total

Answers

Answer 1

Answer:

90.

Step-by-step explanation:

If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.

As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.  

So x = 1/6(2x + 60)

x = 1/3x + 10

2/3 x = 10

x = 10*3/2 = 15.

So the total number of people = 2(15) + 60 = 90.


Related Questions

Select the smallest fraction from the following fractions.
2/4, 3/6, 1,3, 7/9

Answers

7/9 is the smallest fraction

Answer: 1/3

Step-by-step explanation:

2/4 and 3/6 can be simplified to 1/2.

1/3 is smaller than 1/2 because it have a larger denominator, but the same numerator.

Multiple 1/3 by 3/3 and you get 3/9, which is smaller than 7/9.  

Convert the following into scientific notation:
70.2 = _____ x 10 ____

Answers

Answer:

7.02 x 10^1

Step-by-step explanation:

Answer:

7.02 * 10^1

Step-by-step explanation:

Convert 0.1lb/day to oz/wk

Answers

Answer:

1 pound (mass) per day (lb/d) of mass flow=112.00 ounces (mass) per week (oz/wk) in mass flow

Step-by-step explanation:

Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.

Answers

9514 1404 393

Answer:

S = 180C²18,000 lbs

Step-by-step explanation:

Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...

  180, 540, 900

These are not constant, so the relation is not linear.

Second differences are ...

  360, 360

These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...

  S = 180·C²

__

The safe load for C=10 is then ...

  S = 180·10² = 18,000 . . . pounds

The coordinates of point T are (0, 5) . The midpoint of overline ST is (1, - 2) . Find the coordinates of point S

Plz hurry if u can!!!

Answers

The midpoint of a line segment is the point equidistant to the endpoints of the line. The coordinate of S is (2,-9)

Given that:

[tex]T(x_1,y_1) = (0,5)[/tex]

[tex]M = (1,-2)[/tex] --- the midpoint of ST

[tex]S = (x_2,y_2)[/tex]

To calculate the coordinates of S, we use the following midpoint formula:

[tex]M = 0.5 \times (x_1 + x_2,y_1+y_2)[/tex]

So, we have:

[tex](1,-2) = 0.5 \times (0 +x_2,5 + y_2)[/tex]

Divide both sides by 0.5

[tex](2,-4) = (0 +x_2,5 + y_2)[/tex]

[tex](2,-4) = (x_2,5 + y_2)[/tex]

Compare both sides

[tex]x_2 = 2[/tex]

[tex]5 + y_2 = -4[/tex]

Collect like terms

[tex]y_2 = -4-5[/tex]

[tex]y_2 = -9[/tex]

Hence, the coordinates of S is:

[tex]S = (2,-9)[/tex]

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7y ÷ 2 = -2 what does y equal

Answers

Answer:

y=-4/7

Step-by-step explanation:

7y/2=-2

multiply both sides by 2

7y=-4

divide both sides by 7

y=-4/7

A movie rental company charges a monthly fixed membership fee of $13 plus $4 per movie that the user rents in
that month. If M represents the number of movies that the user rents, and C represents the user's total charge
for the month, find the relationship between M and C.

Answers

Answer:

$17 dollars a month and the relationship is 3 apart

Step-by-step explanation:

Answer:

C=4M+13

Step-by-step explanation:

Remember that as the number of movies M increases, the cost C increases too. For each additional movie, the cost increases by $4. This is added to the monthly fixed membership fee of $13.

s congruent to . If angle S is (5x-11) degrees and angle U is (4x+9) degrees, find the value of x.

Answers

Given:

Consider angle S is congruent to angle U.

The angle S is (5x-11) degrees and angle U is (4x+9) degrees,

To find:

The value of x.

Solution:

Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.

[tex]m\angle S=m\angle U[/tex]

Put the given values.

[tex]5x-11=4x+9[/tex]

Subtract 4x from both sides.

[tex]5x-4x-11=9[/tex]

Add 11 on both sides.

[tex]x=9+11[/tex]

[tex]x=20[/tex]

Therefore, the value of x is 20.

2/3 divided by 2/5

lesson 4 module 2
grade 6
page s.20

Answers

Answer:

1 2/5

Step-by-step explanation:

Flip 2/5 to be 5/2

Multiply.

2/3 ⋅ 2/5 = 10/6

Simplify.

1 2/5

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Terry is trying to place a satellite dish on the roof of his house at the recommended height of 18 feet. His house is 32 feet wide, and the height of the roof can be described by the function below,where x is the distance along the width of the house. Where should Terry place the dish? h(x) = -3/2 | x - 16 | + 24 A: No place is high enough B: Right at top C: 12 or 20 feet from the edge D: 4 or 28 feet from the edge

Answers

Answer:

C: 12 or 20 feet from the edge

Step-by-step explanation:

We are told the recommended height is 18 feet and that the function describing the height is;

h(x) = -(3/2)|x - 16| + 24

This means that;

-(3/2)|x - 16| + 24 = 18

Multiply through by -2/3 to give;

|x - 16| + 24(-2/3) = 18(-2/3)

|x - 16| - 16 = -12

Add 16 to both sides to get;

|x - 16| = 16 - 12

|x - 16| = 4

Add 16 to both sides to get;

Expanding the absolute value problem, we have;

x - 16 = 4 or -(x - 16) = 4

Thus;

x = 16 + 4 or -x + 16 = 4

x = 20 or x = 16 - 4

x = 20 or x = 12

Since x is the distance along the width of the house, then Terry should place the dish 12 or 20 feet from the edge

20 POINTS!!!!!!!
Who would win in a fight Rambo or John Wick?

Answers

Answer:

Depends on the situation but John Wick

Step-by-step explanation:

Answer:

John wick

Step-by-step explanation:

John wick is a former government assassin with special training, along with knowing close range combat very well in the form of jujitsu and judo, john Rambo is a former us special forces member, who has around the same or greater firearms training than wick, but lacks in melee combat he slash,stab,swing,punch, and attack wick at close range but, wick could easily take out Rambo in melee combat cause wick knows how to use around anything as a weapon. wick is more agile then Rambo and wick could easily get up to Rambo and take him out with a gun and doge Rambo's bullets, or wick could take Rambo out at close range.

Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?

Answers

Answer:

the answer is #3

Step-by-step explanation:

the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given this, Maria took a taxicab from her home to the theater downtown. The taxicab company charges a flat fee of $5.00 plus $0.25 per mile.

Since, C represents the total cost of her ride, in terms of m, the length of the trip in miles.

So,

Total cost = fixed cost + variable cost

In our case

Fixed cost = 5

and the variable cost = 0.25 per mile

For m miles variable cost = 0.25*m

Thus,

Total cost = 5 + 0.25*m

C = 5 + 0.25m

therefore, the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.

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Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

Answers

Answer:

Rebecca's overtime rate is $20.25 per hour

Step-by-step explanation:

Rebecca is paid $13.50 per hour as her regular wage.

Her boss pays her that amount and a half for overtime work.

Half of her regular pay rate is 13.50/2= $6.75

Thus, her overtime rate is:

$13.50 + $6.75 = $20.25

Rebecca's overtime rate is $20.25 per hour

-5 1/2 + 7 3/4 value of the expression

Answers

Answer:

2 1/4

Step-by-step explanation:

-11/2+7 3/4

-11/2 + 31/4

= 9/4

= 2 1/4

Answer:

2 1/4.

Step-by-step explanation:

-5 1/2 + 7 3/4

= 7 3/4 - 5 1/2

= 7 - 5 + 3/4 - 1/2

= 2 + 1/4

=  2 1/4.

f(x)=-5x-4x^-3 Please Help!

Answers

Answer:

-:3"5'6:7;8\4-4-4-4✓

4.8 Twitter users and news, Part I: A poll conducted in 2013 found that 55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.6%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context. (please round all percentages to 2 decimal places)

Answers

Answer: Required 99% confidence interval  : (48.30%, 61.7%)

Step-by-step explanation:

Confidence interval for PROPORTION:  [tex]p\pm z^* \times S.E.[/tex], where p = sample proportion , z* = two-tailed critical z-value  and S.E. = standard error.

As per given: p=55%

Critical z-value for 99% confidence = 2.576

S.E. = 2.6%

Then, required confidence interval :

[tex]55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)[/tex]

Required 99% confidence interval  : (48.30%, 61.7%)

Evaluate the expression.
8 x -9 = 6 x -8

Answers

1 upon 2

make me as brienliesr

6) Anita bought a pie and ate 30% of it yesterday afternoon. In the night, her brother Bob ate 40% of what was left. The rest was kept for their sibling Sheila. What percentage of the pie was left for Sheila?

Answers

Answer:   30%

Step-by-step explanation:

Pie eaten by Anita = 30%

Pie eaten by Bob = 40%

total Pie = 100%

Pie left for by Sheila = 100 - (30 + 40)

                                 =  100 - 70

                                  = 30%

therefore, pie left for Sheila = 30%

Hope it helped u,

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Answer:70%

Step-by-step explanation:

|4x|+6=22?????????????????????

Answers

Answer: x=4, x=-4

Step-by-step explanation: because it is absolute value, negative or positive does not matter.

write the fraction in vertical form.

3/5​

Answers

Answer:

Its 3/5 cause you cant do vertical

Step-by-step explanation:

A taxi charges a flat fee of $5.00 plus $3.25 per mile.


How much will it cost to travel 8.7 miles? Round your answer to the nearest cent.

Answers

Answer:

$33.28

Step-by-step explanation:

8.7 times 3.25 is 28.275

28.275 + 5 = 33.275

33.275 rounded to the nearest coin is 33.28

Answer:

$33.28

Step-by-step explanation:

So, we would multiply $3.25 by 8.7 miles.

$3.25 · 8.7 = $28.28

Then we would add on the additional $5.00

$28.28 + $5.00 = $33.28

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What is the equation of the line that passes through the point (−8,7) and has a slope of 0?

Answers

Step-by-step explanation:

formula = y - y1 = m2 ( x - x1)

y - 7 = 0 ( x - (-8))

y - 7 = 0

y = 7

If ABCD = QRST , m∠A = x - 10, and m∠Q = 2x - 30, what is m∠A?

Answers

Answer:

m<A = 10

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

See https://brainly.com/question/11662137?referrer=searchResults

2) The midpoint of the line segment between: (10,- 11) and (-8, -5) is:​

Answers

Answer: (1, -8)

M = x1 + ×2 / 2 & y1 + y2 / 2

x1 = 10, y1 = -11 x2 = -8 y2 = -5

M = 10 + (-8) / 2 & -11 + (-5) / 2

Answer = 1, -8

what is the answer? pls help

Answers

Your answer is the last one. Not a line!

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

For this, we shall use the slope formula:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]      ← this is  [tex]\frac{rise}{run}[/tex]

Assuming this is a line, all we do is pick two consecutive points and plug them in. For example, let's take the first two points. (1, -4) and (7, 5) as they are the easiest to work with.

Let's plug in these two values:

[tex]\frac{5 - (-4)}{7 - 1}[/tex]

Simplified we get:

[tex]\frac{9}{6}[/tex]

We are now able to factor 3 out of the numerator and denominator:

[tex]\frac{3}{2}[/tex]

Thus resulting in the slope.

greg is working on a school project

Answers

Answer: Cool

Step-by-step explanation:

Greg is working on a school project

Answer:

noice

Step-by-step explanation:

6.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5

find f(3)

Answers

Answer:

[tex]f(3)=-5[/tex]

Step-by-step explanation:

We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]

We want to find [tex]f(3)[/tex]. So, we can use our first function.

Substitute 3 for x. This yields:

[tex]f(3)=-2(3)+1[/tex]

Multiply:

[tex]f(3)=-6+1[/tex]

Add:

[tex]f(3)=-5[/tex]

So:

[tex]f(3)=-5[/tex]

Find the perimeter of the figure

Answers

Answer:

20 m

Step-by-step explanation:

For the perimeter, add all the sides together:

4 + 6 + 3 + 5 + 2 = 20 m

Answer:

Step-by-step explanation: Perimeter of  figure is = sum of all sides

                                                                                    = 6m+3m+5m+2m+4m

                                                                                   = 9m+7m+4m

                                                                                    = 16m+4m

                                                                                    = 20m

. Which of the following could be the graph of the equation y=-2x?
A.
B.
C.

Answers

Answer:

a

Step-by-step explanation:

The linear equation y = -2x is passing through the origin. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y = -2x

The y-intercept in the above equation is zero. Then the linear equation is passing through the origin.

The linear equation y = -2x is passing through the origin. Then the correct option is B.

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An ice cream cone has a diameter of 6 centimeters. What is the volume of the cone, if the cone is 9 centimeters tall?

Answers

Answer:

V≈84.82

Step-by-step explanation:

V=πr2h

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