The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?​

Answers

Answer 1

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300


Related Questions

Which of these steps will eliminate a variable in this system? 4x-9y=8 2x+3y=24

Answers

For eliminate a variables we need addition method or elimination method.

Define the term Variable?

In an equation or formula, a variable is a symbol or letter that stands in for an unknowable or varying quantity or value.

We can multiply the second equation by -2, so that the coefficient of x in both equations will be the same but with opposite signs:

⇒ 4x - 9y = 8

⇒ -4x - 6y = -48

Add the two equations together: ⇒ -15y = -40

⇒ y = 8/3

Substitute this value of y back into either equation to solve for x.

⇒ 4x - 9(8/3) = 8

⇒ 4x - 24 = 8

⇒ x = 8

Therefore, the steps to eliminate a variable in this system using the addition method are to multiply the second equation by -2, add the two equations together to eliminate the x variable, solve for y, and then substitute that value back into either equation to solve for x.

To know more about elimination method, visit:

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Claire wants to determine how her math score 690 on a standardized college entrance exam compared to her mother score 680 what she took the exam 20 years earlier the year Clair took the exam the mean math score was 510 with a standard deviation of 110 points on Claires mother took the exam the mean math score was 490 with a standard deviation of 100 points who has the better relative performance

Answers

Answer:

Claires mother did better because her z score was greater than Claires

Step-by-step explanation:

I j took the quiz

Claire's mother did better because her z-score was greater than that of Claires.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

As per the given information, the solution would be as

Here is Claire's data:

ц₁ = 510

σ₁ = 110

X₁ = 690

⇒ z-score = (X₁-ц₁ )/σ₁

Substitute the values,

⇒ z-score = (690 - 510)/110

⇒ z-score = 180/110

⇒ z-score = 1.636

Here is Claire's mother's data:

ц = 490

σ₂ = 100

X₂ = 680

⇒ z-score = (X₂-ц )/σ₂

Substitute the values,

⇒ z-score = (680 - 490)/100

⇒ z-score = 190/100

⇒ z-score = 1.9

So Claire's mother's z-score > Claire's z-score

Therefore, Claire's mother did better because her z-score was greater than that of Claires.

Learn more about the z-score here:

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Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries? A. B. -1.872 – 1.615 + 217.55 > 255 -1.812 + 21.61r + 217.55 > 255 -1.8r2 – 21.611 + 217.55 < 255 C. D. -1.812 + 1.61x + 217.55 < 255​

Answers

Answer:

A. -1.8x² – 1.61x + 217.55 > 255

Step-by-step explanation:

Since Pattie's Produce charges $2.29 for a package of strawberries and 95 packages can be produced daily. The money gotten daily = $2.29 × 95 packages = $217 Since 20 cent increase leads to 9 less package.

The number of 20-cent increases in the cost of a package of strawberries can be gotten from:

(2.29 + 0.2x)(95 - 9x) > 255

217.55 - 20.61x + 19x - 1.8x² > 255

-1.8x² - 1.61x + 217.55 > 255

Answer:

A. -1.8x² – 1.61x + 217.55 > 255

Step-by-step explanation:

EDMENTUM

Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?

Answers

133 + 130 + 131 + 136 / 4 = 132.5
133 + 130 + 131 + 136 + 170 / 5 = 140

16/25 divided by 15/8​

Answers

Answer:

128/375

Step-by-step explanation:

16/25 divided by 15/8​

16/25 X 8/15 = 128/375

explain how you would use the communitive property of multiplication to aswer 7x3. ​

Answers

Answer:

since 7 times 3 is 21

Step-by-step explanation:

it would be 7+7+7 becuase you do seven times 3

hope that helped!

How do you Graph: -3x – 2y = -8

Answers

Answer:

I hope this helps!

Answer:

y = -2/3x +4 --> y = mx+b form

Step-by-step explanation:

-3x-2y = -8 --> add 3x to both side

-2y = 3x-8 --> divide by -2 on both side

y = -2/3x +4 --> y = mx+b form

the y intercept is 4 and the slope is -2/3, down 2, right 3.

therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.

what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2.

Answers

Answer: the answer is -947 hope this helped.

Step-by-step explanation:

What is the perimeter of the building foundation uncovered by the archaeologists?

Answers

Answer:

Wall of Jericho

Step-by-step explanation:

The Wall of Jericho was a Pre-Pottery Neolithic A (PPNA) defensive or flood protection wall suggested to date to approximately 8000 BC.[1] If interpreted as an "urban fortification", the Wall of Jericho is the oldest city wall discovered by archaeologists anywhere in the world.[2] It is built of undressed stones and is located at the archaeological mound known as Tell es-Sultan, in the city of Jericho on the West Bank.

The topic of this article is the unique Neolithic-age stone wall, the earliest one of its kind. Other walls, such as contemporary house walls, or later, Bronze and Iron Age city walls, are only mentioned for the sake of context.

Tell whether the sum is positive, negative, or zero without adding them.
-8 + 20

Answers

Answer:

The sum is positive.

Step-by-step explanation:

The 20 is a far greater value than -8, so no matter what, when you add them the sum will be positive. Though this would not be the same were the -8 greater than -20.

Hope this helps!

Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
3 feet
6 feet
10 feet

Answers

letter B 3 feet

Step-by-step explanation:

he needs three more to get 6 meters of wood

10, because he needs 3 more meters and 3 meters = 9.9 feet

PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS

Answers

Answer:

The umbrella will fit in, but there will be a lot of extra room.

Step-by-step explanation:

Remember the Pythagorean theorem:

x^(2) + y^(2) = n^(2)

where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse

In this problem it is given that the sides (legs) are:

38in, and 24in

and diagonally across is 29in

so the hypotenuse is 29in

therefore we can form the equation:

38^(2) + 24^(2) = 29^(2)

without solving it is clear that

38^(2) + 24^(2) > 29^(2)

because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,

but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room

Answer:

see below

Step-by-step explanation:

The umbrella should fit

The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

18^2 + 24^2 = c^2

324 + 576 = c^2

900 = c^2

Take the square root of each side

sqrt(900) = sqrt(c^2)

30 =c

As long as the umbrella is less than 30 inches, it should fit

The umbrella is 29 inches so it should fit

is f(x)=5x^2+6x^3 a polynomial function​

Answers

Polynomials are expressions whose exponents are non-negative integers and the coefficients are real numbers. The leading term is the term with the highest power. The coefficient of the leading term is the leading coefficient. The power of x in the leading term is called the degree of the polynomial! Here are some examples of polynomials:
Degree Name Example
0 constant 11
1 linear 4x + 7
2 quadratic 3x2 + 4x + 5
3 cubic 4x3 + 3x + 7
4 quartic 3x4 + 2x2 + 4
5 quintic x5 + 3x + 1
Any value of x such that P(x) = 0 is a root of the equation and a zero of the function.
Review of synthetic substitution
To use synthetic substitution, do the following:
1) Write the polynomial in descending order.
2) Make sure any missing terms are replaced with zero!
3) Bring down the leading coefficient.
4) Multiply by the divisor and add to the next term.
5) Repeat the process until the last coefficient is reached.

Example
Use synthetic division to find P(2) for P(x) = 2x3 - 9x2 + 27
2| 2 -9 0 27
4 -10 -20
2 -5 -10 7 The value of P(2) = 7, the last number!!
Sample Problems
1) State whether each is a polynomial function. If yes, find the degree and the zeros.
Problem Polynomial? Degree zeros
a) f(x) = 5 - 4x yes 1 5/4
b) f(x) = 3x2 - 6x yes 2 0, 2
c) f(x) = x - 3/x no
d) f(x) = 18 yes 0 none
e) f(x) = (x-3)/(x+2) no
2) Use synthetic substitution to find P(3) for each function:
a) P(x) = 4x3 - 5x2 + 3
3| 4 -5 0 3
12 21 63
4 7 21 66
Therefore, P(3) = 66

b) P(x) = 3x4 + 2x3 - 5x - 2

3| 3 2 0 -5 -2
9 33 99 282
3 11 33 94 280
Therefore, P(3) = 280


3) If 4 is a zero of f(x) = 3x3 + kx - 2, find the value of k.
Since 4 is a zero, the value of f(4) = 0. Use synthetic substitution.
4| 3 0 k -2
12 48 192 + 4k
3 12 48 + k 190 + 4k
Now 190 + 4k = 0, solve for k
4k = -190
k = -190/4 = -47.5

Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.

Answers

Answer:

18 weeks

Step-by-step explanation:im gay

6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?

Answers

7.75 I hope this helps

I need help !!!!!!!

Answers

Solution (5) :

Given , KM = 22

Then JL =

This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,

KM = JL ( the diagonals in an isosceles trapezoid are congruent )

22 = JL

JL = 22

Therefore , JL = 22 .

Solution (6) :

Given , DF = 8.7

Then , EG =

Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,

DF = EG ( the diagonals in an isosceles trapezoid are congruent )

8.7 = EG

EG = 8.7

Therefore , EG = 8.7 .

A line with slope -3 passes through the points (5,2) and (9,y). Find y. (and yes I know this is a repost but the other one was wrong its not y=5)

Answers

9514 1404 393

Answer:

  y = -10

Step-by-step explanation:

Using the point-slope form of the equation for a line, we can write the equation as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -2 = -3(x -5)

Using the values for the other point, this becomes ...

  y -2 = -3(9 -5)

  y = -3(4) +2

  y = -10

What is the product of-3 and-13? Enter your answer as a mixed number, in simplified fom, in the box​

Answers

Answer:

39

Step-by-step explanation:

-3x(-13) = 39.

If this question was asking for something different I apologize.

Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.

Answers

Answer:

X= 32 Y= 35

Step-by-step explanation:

We know FOB is parralel to AOE meaning x= 32

also, COH = 90 so GOD is also 90.

a straight angle is 180, so

23+90+x or 32= 145,

180-145=35,

y=35

Answer:

X=32

Y=35

Step-by-step explanation:

We know x is 32 because FOB is parrallel to AOE.

We also know that DOG is 90 because COH is 90, and parallel to DOG

So, we can do:

90 + 23 + 32 =145

180-145=35, which is Y

I need help please help me out .

Answers

21,540 multiply 359 times 60

With the money she had saved by working, Jennifer wanted ​

Answers

Answer:a car

Step-by-step explanation:

Please help me with all the answers please say like 1: the answer 2: the answer like that thank you so much

Answers

1: 8200,82000,820000 yen
2:12
3:8
4:6
5:4 months

10/3 = x/ (-5/2) what does x equal

Answers

The answer to the equation is [tex]x=-\frac{25}{3}[/tex]

First, you must cross multiply the fractions.

[tex]10*-\frac{5}{2} =x*3[/tex]

[tex]-25=3x[/tex]

Then, you must flip the equation.

[tex]3x=-25[/tex]

Finally, divide 3 on each side

[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]

[tex]x=-\frac{25}{3}[/tex]

whats 62.7×2.45......?

Answers

Answer:

153.615

Step-by-step explanation:

62.7 × 2.45=153.615

NEED A MATH TUTOR ASAP !!!

tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?

Answers

Answer:

$22

Step-by-step explanation:

20 * 1.10 = 22

The answer is $22 good luck!!

Which of the following numbers is irrational?

Answers

The second one I think

Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable

Answers

Answer:

The input of the function

Step-by-step explanation:

2) If U is between T and B, find the value of x and the lengths of the segments Label the line show all work
to answer the questions. (4 points)
T
U
B
TU = 2x, UB = 3x, TB = 20
X =
I
TU=
UB=

Number 2

Answers

You want to use the segment addition postulate to help you solve this. That would be TU+UB=TB.

TU = 2x
UB = 3x
TB = 20

2x+3x=20

Solve that equation, you should get:

5x=20

Then divide by 5 on each side to get x.

x = 4

Then you want to plug x into each equation!

TU = 2x, so 2 • 4 = 8.

TU = 8

UB = 3x, so 3 • 4 is 12.

UB = 12


Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?​

Answers

Answer:

Mr watts needs 7 weeks

Step-by-step explanation:

The average expense per presentation =  $20,000

Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000

Also the  cost of meals, motels, jet travel, and support  personnel total $60,000 per week. Hence the total cost per week is:

Total cost = $140000 + $60000 = $200000

The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:

Revenue per week = $40 per person × 1000 people × 7 days = $280000

Let assume the number of weeks needed to earn $560000 be x. Hence:

280000x - 200000x = 560000

80000x = 560000

x = 7

65% of what is 39? ​

Answers

Answer:

The answer is 25.35

Step-by-step explanation:

Hope this helps:)

Answer:

60

Step-by-step explanation:

65 % of 60 = 39

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