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
AveGali [126]
2 years ago
8

image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12

$12 more than Claire on the party, how much did Benton spend?

Mathematics
1 answer:
sdas [7]2 years ago
5 0

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

0.35x =0.2x +12

0.35x -0.2x = 12

0.5x =12

x=80

So total amount spent was $80.

Money spent by Benton = 0.2x = 0.2 * 80= $16

So amount spent by Benton is $16.



You might be interested in
The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If
frutty [35]
For this case we have the following equation:
 w = 0.9* \sqrt{E}
 Where,
 w: The weight of a spring in pounds
 E: the energy stored by the spring in joules.
 Substituting values we have:
 w = 0.9* \sqrt{12}
 Making the corresponding calculation:
 w=3.12
 Answer:
 
the approximate weight of the spring in pounds is:
 
w=3.12
4 0
2 years ago
Read 2 more answers
Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi
timama [110]

Answer:

(a)The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Therefore, the length of the fence is  97\frac{1}{2}$ feet

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet

Similarly:

x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet

The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Length of the Fence

The fence is rectangular shaped with:

Length = 31\frac{1}{2}$ feet

Width = 17 \frac{1}{4}$ feet

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet

8 0
2 years ago
joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are goi
Andreyy89

Answer:

Joe reserves 5 more blocks.

Step-by-step explanation:

50-16=34.

34/8=4.25

You must round up 4.25 to 5 and 16 rooms equal 2 blocks.

7 0
2 years ago
Read 2 more answers
If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Nuetrik [128]
The variation would be x5. 4*5=20
6 0
2 years ago
Read 2 more answers
-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
Other questions:
  • Triangle XYZ has vertices X(–1, –1), Y(–2, 1), and Z(1, 2). What is the approximate measure of angle Z?
    11·2 answers
  • Tricia got a 6% raise on her weekly salary. The raise was $30 per week. What was her original salary?
    8·2 answers
  • Victoria read a 160-page historical fiction novel followed by a science fiction novel of the exact same length. Her average read
    10·2 answers
  • Paula has a dog that weighs 3 times as much as Carla's dog
    10·1 answer
  • Here is a typical statement made by the media: "Based on a recent study, pennies weigh an average of 2.5 grams with a margin of
    11·2 answers
  • The mean temperature for the first 4 days in January was 1°C. 
    13·1 answer
  • A bicycle is traveling at 20 feet per minute. What is the bicycle's speed expressed in inches per second?
    11·1 answer
  • The circumference of a circle varies directly with the radius. A circular pizza with a radius of 3in has a circumference of abou
    7·1 answer
  • The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar
    10·1 answer
  • A parking meter contains 4 times as many nickels as quarters. The meter contains $4.05 total. Select two equations that would be
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!