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
iragen [17]
2 years ago
10

Jackson has $1.50 in quarters and dimes. Let x represent the number of quarters and y represent the number of dime. Find the dom

ain and range of this situation.
Mathematics
1 answer:
QveST [7]2 years ago
8 0

Answer:

3 dimes

Step-by-step explanation:

Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)

Part B: Plug in what you DO know and solve the one you DON’T:

0.10x + 0.25(2) = 0.80

0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:

0.10x = 0.30 (Divide both sides by 0.10)

x = 3

You might be interested in
What is the improper fraction of 7/7
stira [4]
There is no improper fraction of 7/7 because it is not a mixed number.
3 0
2 years ago
Read 2 more answers
Can someone help me x-7=2x-6
Effectus [21]
X=-1
x-7=2x-6
subtract x from both sides.
-7=x-6
add 6 on both sides.

7 0
3 years ago
Read 2 more answers
Please show the working and answer. you can take a picture for the working.
baherus [9]

Answer:

(a) The area of the triangle is approximately 39.0223 cm²

(b) ∠SQR is approximately 55.582°

Step-by-step explanation:

(a) By sin rule, we have;

SQ/(sin(∠SPQ)) = PQ/(sin(∠PSQ)), which gives;

5.4/(sin(52°)) = 6.8/(sin(∠PSQ))

∴ (sin(∠PSQ)) = (6.8/5.4) × (sin(52°)) ≈ 0.9923

∠PSQ = sin⁻¹(0.9923) ≈ 82.88976°

Similarly, we have;

5.4/(sin(52°)) = SP/(sin(180 - 52 - 82.88976))

Where, 180 - 52 - 82.88976 = ∠PQS = 45.11024

SP = 5.4/(sin(52°))×(sin(180 - 52 - 82.88976)) ≈ 4.8549

Given that RS : SP = 2 : 1, we have;

RS = 2 × SP = 2 × 4.8549 ≈ 9.7098

We have by cosine rule, \overline {RQ}² =  \overline {SQ}² +  \overline {SR}² - 2 × \overline {SQ} × \overline {SR} × cos(∠QSR)

∠QSR and ∠PSQ are supplementary angles, therefore;

∠QSR = 180° - ∠PSQ = 180° - 82.88976° = 97.11024°

∠QSR = 97.11024°

Therefore;

\overline {RQ}² =  5.4² +  9.7098² - 2 ×  5.4×9.7098× cos(97.11024)

\overline {RQ}² ≈ 136.42

\overline {RQ} = √(136.42) ≈ 11.6799

The area of the triangle = 1/2 ×\overline {PQ} × \overline {PR} × sin(∠SPQ)

By substituting the values, we have;

1/2 ×\overline {PQ} × \overline {PR} × sin(∠SPQ)

1/2 × 6.8 × (4.8549 + 9.7098) × sin(52°) ≈ 39.0223 cm²

The area of the triangle ≈ 39.0223 cm²

(b) By sin rule, we have;

\overline {RS}/(sin(∠SQR)) = \overline {RQ}/(sin(∠QSR))

By substituting, we have;

9.7098/(sin(∠SQR)) = 11.6799/(sin(97.11024))

sin(∠SQR) = 9.7098/(11.6799/(sin(97.11024))) ≈ 0.82493

∠SQR = sin⁻¹(0.82493) ≈ 55.582°.

8 0
3 years ago
Can you solve this in a complete answer
I am Lyosha [343]
A 90 degree clockwise rotation about origin followed by a transition 2 units to the right
8 0
2 years ago
A store sells blank T-shirts for $9.99 each. Buyers can customize shirts with holographic letters that cost 79 cents each. Alici
seropon [69]

Answer:

$420.69

Step-by-step explanation:

if you do some thinking, you'll easily find out the answer is $420.69

not only is it a funny number, it's also a NICE amount of cash i would really love to have. anyways, hope this helps!

P.S: i have all A's in school ;)

5 0
3 years ago
Other questions:
  • An 8 inch by 6 inch rectangle is the base of the rectangular prism below. What is the lateral area of the figure? 140 square inc
    11·2 answers
  • Lina bought a twenty-ounce bag of Yummios for $2.39. What is the price per ounce, rounded to the nearest cent?
    14·1 answer
  • I'll give brainlest if u can answer this question <br><br><br>1+1=?
    6·2 answers
  • Please help me! i will fail if i dont get this done, please!
    8·1 answer
  • 613x47 What is the answer
    7·2 answers
  • Find the surface area of a cone when the radius is 4.5in and the height is 7.5in.
    7·1 answer
  • Jim takes great pride in decorating his float for the homecoming parade for his high school. With the $5000 he has to spend, Jim
    7·1 answer
  • A farmer planted eight fields of vegetables. Of the fields planted 1/4 were planted with beans. How many fields of beans did the
    7·1 answer
  • -0.5 ≤ m/10<br><br>Will mark brainiest :)<br><br>Solve the inequality!
    11·1 answer
  • LMNO is a parallelogram. Solve for x and y.<br><br> ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!