answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dennis_Churaev [7]
2 years ago
8

Four sisters bought a present for their mother. They received a 10% discount on the original price of the gift. After the discou

nt was taken, each sister payed $9. What was the original price of the gift
Mathematics
1 answer:
Orlov [11]2 years ago
4 0

Answer:

$40

Step-by-step explanation:

x is the original price of the gift

(10% of x) is the value of the discount

(10% of x) = 10/100 . x = 0.1 x

0.1 x    is the value of the discount

x - (10% of x) is what was paid, after the discount

x - 0.1 x = 0.9 x

0.9 x    is what was paid

4 children paid $9/each

4 times $9 = $36

$36 is the total amount that was paid by the children

$36 = 0.9 x

$36 / 0.9 = x

x = $36 / 0.9 = 360 / 9

x = 40

;-)

You might be interested in
In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers,
gulaghasi [49]

Each tweet would cost between 1 and 140 pennies you can write that as an inequality [1 ≤ x ≤ 140] Since you can't tweet 0 characters or above 140.

if you want to change it to pounds divide by 100.

A) 1 ≤ x ≤ 140

B) Each character costs a penny, you can't tweet less than 1 character or above 140.

3 0
1 year ago
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
sesenic [268]

9514 1404 393

Answer:

  • a = 6
  • b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

6 0
2 years ago
-4(3/2x - 1/2) = -15
adelina 88 [10]

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

4 0
1 year ago
Jordan wants to play a basketball game at a carnival. The game costs the player $5 dollar sign, 5 to play, and the player gets t
Alinara [238K]

Answer:

The expected value of Jordan gains is -1 dollar.

Step-by-step explanation:

Consider the following random variables. X := #of shots that Jordan makes. Then, we can can define the random variable Y of the earnings of Jordan in a game as follows

Y = 5 if X=2 (since he gets 10, but invested 5),  Y=0 if X=1(since he gets the 5 back) and Y=-5 if X=0(since he doesn't get the money back). Then, in this case, we can define the probability as follows.

P(Y=5) = P(X=2), P(Y=0) = P(X=1), P(Y=-5)= P(X=0).

By definition, the expected value of Y is given by

E[Y] = 5\cdot P(Y=5)+0\cdot P(Y=0)-5 P(Y=-5). By the previous analysis, we have that

E[Y] = 5\cdot P(X=2)-5P(X=0)

We only need to calculate the probabilities for X. In this case, we can consider each shot independt from each other. Then, we can consider X to be distributed as a binomial random variable with n=2 trials and p=0.4 of success (since he has a 40% chance of winning).

Then, by definition

P(X=k) = \binom{n}{k}p^k(1-p)^{n-k} = \binom{2}{k}0.4^{k}0.6^{2-k}

where \binom{n}{k}=\frac{n!}{k!(n-k)!}

Then,

P(X=0) = \frac{2!}{0!2!}0.4^{0}0.6^{2} = 0.36

P(X=2)=\frac{2!}{0!2!}0.4^{2}0.6^{0} = 0.16

Then,

E[Y] = 5\cdot 0.16-5\cdot 0.36 = -1

8 0
2 years ago
What is the scale factor of polygon qrstu to poligon defgh
koban [17]

Answer:

A

Step-by-step explanation:

Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.

\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}

Therefore, the correct answer is choice A. Hope this helps!

5 0
2 years ago
Other questions:
  • a crane cable can support a maximum load of 15,000 kg. if a bucket has a mass of 2,000 kg and gravel has a mass of 1,500 kg for
    14·2 answers
  • Carly has 2 more nickels than dimes in her pocket. She has 40 cents. How many nickels does Carly have How many dimes does Carly
    9·2 answers
  • A set of data points has a line of best fit of y=2.5x-1.5
    15·2 answers
  • Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at
    12·1 answer
  • Alyssa draws a ray in her notebook. what is the minimum number of points through which the ray is drawn?
    15·2 answers
  • Which point shows the location of 5 – 2i on the complex plane below? On a coordinate plane, points A, B, C, and D are shown. Poi
    5·2 answers
  • 4. Hydrocarbons in the cab of an automobile were measured during trips on the New Jersey Turnpike and trips through the Lincoln
    8·1 answer
  • Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives
    12·1 answer
  • Colleen compared the ratios 3:8 and One-half. Her work is shown below. Write the ratios as fractions: Three-eighths and One-half
    13·1 answer
  • Alison wants to distribute the carnations and roses equally among the 6 flower shops. Factor the expression from Part A using 6
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!