1answer.
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
Artyom0805 [142]
3 years ago
14

Every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she

had 40 coins, all of them dimes and quarters. When she added them up, she had a total of $7.75. Let d= number of dimes and q= number of quarters
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0
A) .10 d + .25 q = 7.75
B) d + q = 40

Multiplying B) by -.10
B)  -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75

Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75

Correct!!


You might be interested in
Sally and her friend Lucie started saving money for their vacation on the same day. Sally started with $150 and plans to add $5
solniwko [45]

Answer:

Their savings will be same after 25 weeks.

Step-by-step explanation:

The difference in both person's saving is $ 2/week

$5-$3=$2

The total difference in the starting point is $50 if we divide $50 by $2 we will get a number of 25 which is the number of weeks it will take both savings to reach at a same level

Calculation:

Starting point $150

Savings $5/week

5*25+150= $275

Starting point: $200

Savings 3$/week

3*25+200= $275

5 0
3 years ago
The probability of hitting a target is 3/4. What is the probability of hitting the target exactly once in four tries
mart [117]
I/0 chance of hitting the target
6 0
4 years ago
Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region boun
Blababa [14]

Answer:

a)\: \frac{3}{2} \pi

b) \:\frac{47}{5} \pi

Step-by-step explanation:

y=3\sqrt x,\:\:y=3,\:\:x=0

a) about the line y = 3

3\sqrt x=3  ⇒  x = 1  is the intersection point

So,

V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi

b)  about the line x = 5

y=3\sqrt x  ⇒  x=y^2/9

So,

V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi

8 0
4 years ago
2 3/4 to a decimal terminating or repeating
Elza [17]

Answer: Terminating decimal

Step-by-step explanation:

2 3/4 as a faction is 2.75

2.75 is a terminating decimal

6 0
4 years ago
In this triangle, the product of sin Band tan cis<br> and the product of sin cand tan is
Alborosie

Answer:

In this triangle, the product of sin B and tan C is c/a or cos B, and the product of sin C and tan B is b/a cos C. We determine these as follows:

sin B tan C = b/a (c/b) = c/a

sin C tan B = c/a (b/c) = b/a

Hope this answers the question. Have a nice day.

Step-by-step explanation:

DONT NOW AM NO SURE

8 0
3 years ago
Other questions:
  • A gun shop sells gunpowder. Monthly demand for gunpowder is normally distributed,averages 20 pounds, and has a standard deviatio
    11·1 answer
  • The digits of a two-digit number sum to 8. When the digits are reversed the resulting number is 18 less than the onginal
    10·1 answer
  • Jason earns 20 per game as a referee in youth soccer games. Write an expression to find how much money Jason will earn for refer
    9·1 answer
  • Graph f(x)=|x−2|+3 .
    7·1 answer
  • What is the slope of the line through (-2,-6)and (2,2)
    8·1 answer
  • there are 4 boxes of 100 sheets of paper and some single sheets of paper in the closet choose all the numbers that shows how man
    10·2 answers
  • Answer plz!!!!! 30 points!!!! A teacher spent $259.20 on classroom
    14·2 answers
  • Zee wants to make 2 liters of a special drink for a party. She squeezed the eight lemons she had and got 0.375 liters of lemon j
    15·2 answers
  • Rectangle prism measuring 3 feet and 8 feet along the base of 5 feet tall
    12·1 answer
  • Write an expression to represent the perimeter of Melissa’s garden in terms of x.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!