Ann and betty shared the sum of money in the ratio 2:3, if ann received $60 less than betty, what was the total sum of money shared

Answers

Answer 1

180$ hope that helps!
Happy Halloween:)

Answer 2

One way to approach this would be to count the number of parts in the ratio: It's 2 + 3 = 5. Then Ann's share is 2/5 of the total amount. Betty's is 3/5. Your job is to determine (1) the amount of $ that they split up, and (2) what Betty receives as her share. Let x = the amount the girls split up
I think that would be the answer.
Hope this helped ☺

Related Questions

Solve 81^x = 27^x+2
X=1
X=2
X=5
X=6

Answers

the answer is x = 6 let me know if you need more help

the answer would be x=6.

what 3 digits are in the ones/units period 4,083,817

Answers

The 3 digits in the units period are 817.

digit 8 is in the hundreds place, digit 1 is in the tens place, and digit 7 is in the ones or units place.

Brainest Answer is appreciated.

It's 8 because if you see the number the ones section will be around after the hundreds and that how you see what number it go so the awnser is 8

If the sum of six consecutive even integers is 390 what is the smallest of the six integers

Answers

the answer is 60 but im going to explain it down below if you want to know how to do it :)

first because we dont know the values of the 6 numbers we have to lay it out like this.
x
x+2
x+4
x+6
x+8
x+10
-------- (then we add it together)
6x+30 = 390 (the sum of the 6 numbers)

using this equation we find out what x is

so we do 390-30 to find what 6x is, which is 360
because now we know that 6x=360, we divide 360 by 6 to find out what x is
360 divided by 6 =60..... x = 60

so now we know that the smallest integer is 60
to check the answer we could add the 6 numbers which are:
60+62+64+66+68+70=390 :)

so the smallest integer is 60

Using the formula for volume of a cone, express r in terms of V, h and pi

Answers

The volume of the cone is one-third of the volume of the cylinder which is equal to the product of area of the base and the height. The equation is,

V = (1/3)(pi)(r^2)h

Dividing both sides of the equation by (1/3)(pi)(h) will give us,

3V/(pi)(h) = r^2

Taking the square-root of both sides,

r = sqrt(3V/(pi)(h))

Answer:

[tex]r = \sqrt{\displaystyle\frac{3V}{h\pi}}[/tex]

Step-by-step explanation:

We are given the following information in the question.

Using the formula for volume of cone, we have to express r in terms of V, h and pi.

Formula:

[tex]\text{Volume of cone, V} = \displaystyle\frac{1}{3}\pi r^2 h\\\\\text{where r is the radius of cone, h is the height of radius}[/tex]

Now, we have to evaluate r, the radius of cone.

Rearranging the terms, we have,

Working:

[tex]V = \displaystyle\frac{1}{3}\pi r^2 h\\\\r^2 = \frac{3\times V}{\pi\times h}\\\\r^2 = \frac{3V}{h\pi}\\\\r = \sqrt{\frac{3V}{h\pi}}[/tex].

Thus, r in form of V, h and pi can be written as:

[tex]r = \sqrt{\displaystyle\frac{3V}{h\pi}}[/tex]

Landon babysits and works part time at tge water park over the summer. onw week, he babysat for 3 hours and worked at the water park for 10 hours and made 109$. the next week he babysat for 8 hours and worked at the water park for 12 hours and made 177$. how much does London make per hour at each job ?
1 define your variables ,- what are you solving for
2 set up equations - using the information given
3 solve the system using your method of choice

Answers

b = hourly rate for babysitting and w = hourly rate for working at water park

3b + 10w = 109...multiply by -8
8b + 12w = 177...multiply by 3
----------------------
-24b - 80w = - 872 (result of multiplying by -8)
24b + 36w = 531 (result of multiplying by 3)
---------------------add
- 44w = - 341
w = -341/-44
w = 7.75 <=== hourly rate for working at water park

3b + 10w = 109
3b + 10(7.75) = 109
3b + 77.50 = 109
3b = 109 - 77.50
3b = 31.50
b = 31.50/3
b = 10.50 <== hourly rate for babysitting

Answer:

Landon makes $10.5 per hour at babysitting and $7.75 per hour at water park.

Step-by-step explanation:

Let the amount made per hour in dollars for babysitting be = x

Let the amount made per hour in dollars at water park be = y

As per the condition, the equations form:

[tex]3x+10y=109[/tex] .......(1)

[tex]8x+12y=177[/tex] ......(2)

Multiplying (1) by 8 and (2) by 3, and subtracting (2) from (1), we get

[tex]44y=341[/tex]

=> y = 7.75

And [tex]3x+10(7.75)=109[/tex]

=> [tex]3x+77.5=109[/tex]

=> [tex]3x=109-77.5[/tex]

=> [tex]3x=31.5[/tex]

x = 10.5

Therefore, Landon makes $10.5 per hour at babysitting and $7.75 per hour at water park.

twenty-two pencils cost $0.60 less than $5 what is the cost per pencil?

Answers

$5-0.60= $4.40- the cost.
4.40/22=0.2.
So the cost per pencil is 0.2 or 20 cents!

Check: 0.2*22=4.4

Hope this helps!
Can u plz mark me as brainliest? I really need it!

Isa's calculator displays a number as 7.3579 E8. What is this number in standard form? Enter your answer in the box.

Answers

When the calculator displays 7.3579 E8. it represents the number
7.3579 x 10⁸ in standard form.

Answer: 7.3579 x 10⁸.

the answer is 735,790,000

∠E∠E and ∠F∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .

What is the value of x?

Answers

Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F

Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24

Subtract both sides of the equation by 3x

6x + 12 = 24

Subtract 12 from both sides

6x = 12

Divide both sides by 6

x = 2

This should be your answer. Have an awesome day! :)

Find the measures of an angle and its complement if one angle measures 24 degrees

Answers

Answer: 66 degrees

Explanation.
Complementary angles add up to 90 degrees.
Because one angle is 24 degrees, the other angle is
90 - 24 = 66 degrees.

Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is 49.40. Write a direct variation equation relating lee's pay x to the hours worked y. Then find her pay if she works 25 hours in a week

Answers

x = pay and y = hours worked
direct variation equations are of the form:
dependent variable = k(independent variable)
we need to find k, the constant of variation
x = ky
49.40 = 6.5k
7.6 = k
EQUATION: x = 7.6y
PAY for 25 hours: x = 7.6(25) = 190 or $190

Final answer:

The direct variation equation relating Lee's pay (x) to the hours worked (y) is y = 7.60x. Lee's pay for working 25 hours in a week is $190.

Explanation:

Let's define the direct variation equation:

y = kx

We can substitute the information given in the question:
When x = 6.5, y = 49.40
49.40 = 6.5k
k = 49.40 / 6.5
k = 7.60

Therefore, the direct variation equation relating Lee's pay (x) to the hours worked (y) is y = 7.60x.

To find Lee's pay if she works 25 hours, we can substitute x = 25 into the equation:
y = 7.60(25)
y = 190

Lee's pay for working 25 hours in a week is $190.

Which gas is plotted using the y-axis on the right?

Answers

There is no picture

An auditor performs attribute sampling to test for proper cancellation of payment vouchers. in a sample population of 100, two vouchers are missing the proper cancellation, while one simply cannot be located. the error rate of the sample is

Answers

Attribute sampling is defined as an item that is being sampled, this item will either possess or don't possess a particular quality, or attribute. In the problem, we are given with 100 as the population, and there are two vouchers that missed the proper cancellation, and one voucher can't be located. To get the error rate you have to divide the number of errors by the total number of population. In this problem, the number of errors is 3. 3 divided by 100 will give us 0.03. To get the percentage we must multiply 0.03 by 100. Therefore the error rate is of this attribute sampling problem is 3 percent.

Find the distance between A (0,1) and B (-4,6) to the nearest tenth

Answers

distance formula : sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(0,1)...x1 = 0 and y1 = 1
(-4,6)...x2 = -4 and y2 = 6
now we sub
d = sqrt (( -4 - 0)^2 + (6 - 1)^2)
d = sqrt ((-4^2) + (5^2))
d = sqrt (16 + 25)
d = sqrt 41
d = 6.4 <===

Karli's shadow is 60 inches long. A nearby fire hydrant casts a shadow 40 inches long. If Karli is 48 inches tall, what is the height of the fire hydrant?

Answers

32 is the height of the fire hydrant.

I believe the answer is around 32 inches

which graph represents a circle with equation x2 + y2 = 9

Answers

The basic form of the equation of a circle is:
x^2+y^2=r^2
where r^2 is the radius squared.

Looking at your equation, x^2+y^2=9, the radius is 3 (sqrt of 9 is 3)

Therefore, the graph B would be correct since the radius of the circle at all points is 3.

Hope I helped :)

Answer: The correct option is (B). Its image is attached below.

Step-by-step explanation: We are given to select the graph that represents the circle with equation as follows:

[tex]x^2+y^2=9~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that the standard equation of a circle with center at the point (h, k) and radius r units is given by

[tex](x-h)^2+(y-k)^2=r^2.[/tex]

From equation (i), we have

[tex]x^2+y^2=9\\\\\Rightarrow(x-0)^2+(y-0)^2=3^2.[/tex]

Comparing the above equation with the standard equation of a circle, we get

Center, (h, k) = (0, 0) and radius, r = 3 units.

We draw the graph of the circle with center at the origin (0, 0) and radius 3 units in the attached figure below.

We see that the graph of the circle is same as the one provided in option (B).

Thus, option (B) is CORRECT.

Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.

Answers

Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.

The statement wants us to prove;

(x+1)²-x²=x+(x+1) <-- solve left hand side

x²+x+x+1²-x²
2x+1 (solution for left hand side)

Now solve for right hand side.

x+(x+1)= 2x+1

As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.

Hope I helped :)

what times what equals 108

Answers

12 times 9 = 108, 18 times 6 = 108, 27 times 4 = 108 and 36 times 3 = 108.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number.

Given that, what times what equals 108,

Below is a list of all the different ways that what times what equals 108.

12 times 9 equals 108

18 times 6 equals 108

27 times 4 equals 108

36 times 3 equals 108

54 times 2 equals 108

108 times 1 equal 108

Hence, 12 x 9 = 108. 18 x 6 = 108. 27 x 4 = 108. 36 x 3 = 108.

Learn more about multiplication, click;

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There are multiple pairs of numbers that multiply to 108, such as 1 × 108, 2 × 54, 3 × 36, 4 × 27, 6 × 18, and 9 × 12. Therefore, any pair of these factors will correctly answer the question.

To determine what times what equals 108, we need to identify the factors of 108.

1 × 108 = 108

2 × 54 = 108

3 × 36 = 108

4 × 27 = 108

6 × 18 = 108

9 × 12 = 108

There are multiple pairs of numbers that, when multiplied together, equal 108. Therefore, any of these factor pairs are valid answers to the question.

For example, 9 times 12 or 6 times 18 are pairs that satisfy this condition.

Solve 6e^(x)-4e^(-x)=5. Solve for x and please describe how you got your answer.

Answers

4ex=6−e−x4ex=6-e-xDivide each term by 44 and simplify.ex=32−e−x4ex=32-e-x4Take the natural logarithm of both sides of the equation to remove the variable from the exponent.ln(ex)=ln(32−e−x4)ln(ex)=ln(32-e-x4)Use logarithm rules to move xx out of the exponent.xln(e)=ln(32−e−x4)xln(e)=ln(32-e-x4)The natural logarithm of ee is 11.x⋅1=ln(32−e−x4)x⋅1=ln(32-e-x4)Multiply xx by 11 to get xx.x=ln(32−e−x4)x=ln(32-e-x4)Simplify the right side.x=ln(6−e−x4)x=ln(6-e-x4)Since ln(6−e−x4)ln(6-e-x4) contains the variable to solve for, move it to the left side of the equation by subtracting ln(6−e−x4)ln(6-e-x4)from both sides.x−ln(6−e−x4)=0x-ln(6-e-x4)=0The roots of this equation could not be found algebraically, so the roots were determined numerically.x=−1.655571,0.269276 This makes no sense to me. do you mind splitting it up

For the given equation 6eˣ-4e⁻ˣ=5 the value obtained after solving the equation will be x =0.29.

What is an exponential function?

It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x, where a is a constant and a>1

It is given that,

6eˣ-4e⁻ˣ=5

Multiplying complete equation by eˣ

eˣ(6eˣ-4e⁻ˣ)=5(eˣ)

6(eˣ)(eˣ) - 4(e⁻ˣ)(eˣ) =5(eˣ)

6e²ˣ-4 = 5(eˣ)

6e²ˣ-5eˣ -4 = 0

Suppose y = eˣ

6y² - 5y -4 = 0

After solving the equation we get y = 4/3 and y = -1 / 2.As a result,

eˣ = 4/3

x = log(4/3)

x = 0.29

Thus, for the given equation 6eˣ-4e⁻ˣ=5 the value obtained after solving the equation will be x =0.29.

Learn more about the exponential function here:

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algebra- you make a large pot of soup. You freeze the soup in small and medium containers. A small container holds 4 ounces and a medium container holds 6 ounces. The soup can fill 6 small containers and 10 medium containers.

A.Write an equation in standard form that models the possible combinations of small and medium containers that the soup can fill.
B. Graph the equation from part (a)
C. Find four possible combination.

Answers

A. Let us say that:

s = number of small containers

m = number of medium containers

From the given data, the total volume of soup is:

total soup = 4 ounces * 6 + 6 ounces * 10 = 84 ounces

So the equation is:

4s + 6m = 84

B. We rewrite the equation explicit to one variable, here we choose s:

4s = 84 – 6m

s = 21 – 1.5m

Then we assign several values for m starting at 0 to get the corresponding value of s then plot the graph. See the graph attached.

C. From the graph, we choose the pair of s and m that are whole numbers. The four possible combinations are:

21 small containers, 0 medium containers

15 small containers, 4 medium containers

9 small containers, 8 medium containers

3 small containers, 12 medium containers

Suppose a coin is tossed 12 times and there are three heads and nine tails. how many such sequences are there in which there are at least five tails in a row?

Answers

.42 is in decimal form

use the image above to write a conjecture about regular polygons and lines of symmetry

Answers

To find conjecture about regular polygon, use the formula [tex] \frac{360}{n} [/tex]

Where, n = number of sides of the regular polygone

1) Triangle
n =3
So, Conjecture of the triangle = [tex] \frac{360}{3} [/tex] = 120

2) Square
n =4
So, Conjecture of the square = [tex] \frac{360}{4} [/tex] = 90

3) Pentagone
n = 5
So, Conjecture of the pentagon = [tex] \frac{360}{5} [/tex] = 72

4) Hexagone
n = 6
So, Conjecture of the pentagon = [tex] \frac{360}{6} [/tex] = 60.

A conjecture about the image would be that the number of lines of symmetry that a regular polygon has is equal to the number of sides that the polygon has. The equilateral triangle has three sides and three lines of symmetry, the square has four sides and four lines of symmetry. The pattern continues with the pentagon and the hexagon as well.

A bakery has prepared 320 ounces of bread dough. a machine will cut the dough into a loaf. the amount of d dough left after m minutes is given by the function d (m)=-5m+320. how many minutes will it take the machine to use all the dough? find a reasonable domain and range for this situation.

Answers

A. how many minutes will it take the machine to use all the dough?

We are given the formula:

d (m) = - 5 m + 320

To find for the value of m when all dough is used, we set d (m) = 0:

0 = - 5 m + 320

m = 320 / 5

m = 64 minutes

B. The domain is time and time can never be negative so it always starts at zero, so at time = 0, the range d (m) is:

d (m) = - 5 (0) + 320

d (m) = 320

The other domain and range is already described in (A.), when all dough is used up.

So the pair of reasonable domain and range is:

(0, 320), (64, 0)

Elizabeth bought 4 drinks and some nachos. The nachos cost $6, and she spent a total of $18. How much did each drink cost? Use d to represent the cost of each drink. A. ; each drink cost $4. B. ; each drink cost $6. C. ; each drink cost $2. D. ; each drink cost $3.

Answers

each drink costs $3 (D). 18-6=12 12÷4=3

Answer:

D. ; each drink cost $3

Step-by-step explanation:

Given that Elizabeth bought 4 drinks and some nachos.

Total amount spent = [tex]18[/tex]$

She can buy only in integers the drinks i.e.1,2,or 3

Nachos also she can buy 1,2...

If x is the no of nachos and d the cost of drink, we get

[tex]6x+4d=18[/tex]

If x=1, d =3

x=2, d = 1.50

d=3, d=0 (which is not possible)

Hence d can take values either as 3 or 1.50

Out of the options given 3 is only there.

D. ; each drink cost $3

What key would you use is 10 students chose cartoons

Answers

1.Colour 2.size 3.labelling 4.speech bubbles 5.symbols 6.focus 7.angle 8.tone 9.Facial expressions 10.context these are the t key would you use is 10 students chose cartoons

?/48=7/8 what is the numerator

Answers

42 is the numerator you multiply 8 times 6 so you do the same with the top

IT IS 42 GOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

how do i factor x^3+3x^2

Answers

All you need to do is pull out the common factor of [tex]x^2[/tex]:
[tex]x^3+3x^2=x^2(x+3)[/tex]

Hey Victoria!

For some stuff like this, you can simplify it then you would factorize it. However, we can't do that for this one because this one doesn't have any like terms.

So, we just need to use our intelligence to find out the factorization form.

So we have:
x^3 + 3x^2

= x^2(x + 3)

Best of luck with your studies, Victoria.

You parents gave you $50 to take your brother and sister to the movies. Your ticket cost $7.25 and your siblings cost $4.25. If you spent an additional $20 on soda and popcorn, how much money did you bring home with you?

Adults: 7.25
Seniors: 6.00
Children under 8: 4.25

Answers

you will bring back $14.25 hope it helps all u do is add how much u spend and then subtract how much u spend to how much u had

Answer:

You bring home $14.25 with you.

Step-by-step explanation:

First we add the money spent in movie tickets and snacks.

Your ticket = $7.25

Brother's ticket = $4.25

Sister's ticket = $4.25

Soda and popcorn = $20.00

Total = 7.25 + 4.25 + 4.25 + 20.00 = $35.75

Your parents gave you = $50.00

You spent = $35.75

Balance = 50.00 - 35.75 = $14.25

You bring home $14.25 with you.

find the perimeter of ABC with vertices A (1,1), B (7,1), and C (1,9)

Answers

Answer:

24 unit

Step-by-step explanation:

Given,

The vertices of the triangle ABC are,

A (1,1), B (7,1), and C (1,9),

By the distance formula,

[tex]AB=\sqrt{(7-1)^2+(1-1)^2}=\sqrt{6^2}=6\text{ unit}[/tex]

[tex]BC=\sqrt{(1-7)^2+(9-1)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10\text{ unit}[/tex]

[tex]CA=\sqrt{(1-1)^2+(1-9)^2}=\sqrt{8^2}=8\text{ unit}[/tex]

Thus, the perimeter of the triangle ABC = AB + BC + CA = 6 + 10 + 8 = 24 unit

Answer for 14 and 15 only

Answers

[tex]\bf 14)\\\\ (x-3y)^2\implies \stackrel{5}{x^2}-6\stackrel{11}{xy}+\stackrel{7}{y^2}\implies 5-66+7\\\\ -------------------------------\\\\ 15)\\\\ (x+n)(x+1)=x^2+x+nx+n\implies x^2+(x+nx)+n \\\\\\ \stackrel{x^2}{x^2}~+~\stackrel{m}{(1+n)}\stackrel{x}{x}~+~\stackrel{5}{n}\qquad \begin{cases} n=5\\ m=1+n\\ \qquad 6 \end{cases}[/tex]

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.

What is the probability that a randomly selected car with no 4-wheel drive has third row seats?

0.3
0.4
0.7
0.8

Answers

a randomly selected car with no 4 wheel drive....so there are 40 cars with no 4 wheel drive

cars with 3rd row seats...that do not have 4 wheel drive...there are 12

so the probability is : 12/40 = 0.3 <==

Probability measures to determine the possibility of an event. In this case, the events are cars with no 4 wheels and cars with third row seats.

The probability that a randomly selected car with no 4-wheel drive has third row seats is 0.3

Let:

[tex]A \to[/tex] A car with no 4-wheel drive

[tex]B \to[/tex] A car that has third row seats

The probability that a randomly selected car with no 4-wheel drive has third row seats is represented as:

[tex]P(B|A)= \frac{n(A\ n\ B)}{n(A)}[/tex]

From the 2-way table, we have the following parameters:

[tex]n(A\ n\ B) = 12[/tex]

[tex]n(A) = 40[/tex]

So, the probability is:

[tex]P(B|A)= \frac{n(A\ n\ B)}{n(A)}[/tex]

[tex]P(B|A)= \frac{12}{40}[/tex]

[tex]P(B|A)= 0.3[/tex]

Hence, the probability that a randomly selected car with no 4-wheel drive has third row seats is 0.3