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
Alex17521 [72]
3 years ago
14

Last​ month, Stephen neighbors paid him to take care of their fish when they went on vacation. HeHe spent ​$5 of his earnings on

an afternoon snack and ​$17 on a new book.​ Afterward, he had no more than ​$6 left. How can you best describe how much Stephen neighbors paid him​?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Answer:

Stephen's neighbors paid Stephen no more that $28.

Step-by-step explanation:

Given:

Stephen spent $5 of his earnings on snack.

He spent $17 in a new book.

He is left with no more than $6 left.

To describe how much Stephen's neighbors paid him.

Solution:

Let Stephen's earnings in dollars be = x

Amount left after spending on snacks in dollars = x-5

Amount left after spending on a new book in dollars = x-5-17 = x-22

The amount remaining is no more than $6.

Thus, the inequality representing the situation can be given as:

x-22\leq6

Solving for x

Adding 22 both sides.

x-22+22\leq6+22

x\leq 28

Thus, Stephen's neighbors paid Stephen no more that $28.

You might be interested in
(5⁴)²?????? <br><br><br>A:5⁶<br>B:5⁸<br>C:20²<br>D:25⁸​
ArbitrLikvidat [17]

Answer:c 20

Step-by-step explanation:

4 0
3 years ago
6(a + 5) = 42<br><br> ...................................
Elan Coil [88]
It’s 2 if I did my math right because I did it 2 tones and both of the times I got 2
5 0
3 years ago
Just need help on #7 thru 8(a), b and c
Stella [2.4K]

7

a. The slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4

b. The distance between two points (x₁, y₁) and (x₂,y₂) is 5 units

c.  The midpoint of the R(3, 5) and H(-1,2) is  (2, 4)

8.

a. The transformation rule is  (x,y) → (x + 1, y - 1)

b.

  • The x-coordinate is shifted 1 unit to the left and
  • The y - coordinate is shifted 1 unit downwards.

c. The image of B' the pre-image of B(5, 6) is (6, 5)

<h3 /><h3>7 a. How to find the slope of the line?</h3>

The slope of a line passing through the points (x₁, y₁) and (x₂,y₂) is m = (y₂ - y₁)/(x₂ - x₁)

Given that

  • (x₁, y₁) = (3, 5) and
  • (x₂,y₂) = (-1, 2)

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 5)/(-1 - 3)

m = -3/-4

m = -3/4

So, the slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4

<h3>b. The distance between the points</h3>

The distance between two points (x₁, y₁) and (x₂,y₂) is d = √[(y₂ - y₁)² + (x₂ - x₁)²]

Given that

  • (x₁, y₁) = (3, 5) and
  • (x₂,y₂) = (-1, 2)

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

d = √[(2 - 5)² + (-1 - 3)²]

d = √[(-3)² + (-4)²]

d = √[9 + 16]

d = √25

d = 5 units

So, the distance between two points (x₁, y₁) and (x₂,y₂) is 5 units

<h3>7 c How to find the midpoint of the R(3, 5) and H(-1,2) </h3>

The midpoint of the the points (x₁, y₁) and (x₂,y₂) is (x, y)  = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Given that

  • (x₁, y₁) = (3, 5) and
  • (x₂,y₂) = (-1, 2)

So, the midpoint (x, y)  = [(x₁ + x₂)/2, (y₁ + y₂)/2]

(x, y)  = [(3 + (-1))/2, (5 + 3)/2]

(x, y)  = [(3 - 1)/2, (5 + 3)/2]

(x, y)  = [4/2, 8/2]

(x, y)  = (2, 4)

So, the midpoint of the R(3, 5) and H(-1,2) is  (2, 4)

<h3>8. a The rule for the transformation of point A(1, 4) to point B(2, 3)</h3>

Given that point A(1, 4) and point B(2, 3) we see that point B(1 + 1, 4 - 1).

Let pont A be (x,y).

So, point B = (x + 1, y - 1)

So, the transformation rule is  (x,y) → (x + 1, y - 1)

<h3>b. Describe the transformation</h3>

Since the transformation rule is   (x,y) → (x + 1, y - 1), we see that

  • the x-coordinate is shifted 1 unit to the left and
  • the y - coordinate is shifted 1 unit downwards.
<h3>c. The image of B' the pre-image of B(5, 6)</h3>

Since the transformation rule is  (x,y) → (x + 1, y - 1) and point B is (5, 6), thus the image of B' is

(x,y) → (x + 1, y - 1)

(5,6) → (5 + 1, 6 - 1)

(5,6) → (6, 5)

So, the image of B' the pre-image of B(5, 6) is (6, 5)

Learn more about slope of a line here:

brainly.com/question/1617757

#SPJ1

3 0
2 years ago
Which statement is true about lines a and b?
Maurinko [17]
If they intersect at a 90 degree angle it’s B. If they never intersect if they continued for ever it’s A. If they intersect but it’s not at a 90 degree angle it’s D.
3 0
3 years ago
Read 2 more answers
In tossing four fair dice, what is the probability of tossing, at most, one 3
11Alexandr11 [23.1K]

<u>Answer- </u>

In tossing four fair dice, the probability of getting at most one 3 is 0.86.

<u>Solution-</u>

The probability of getting at most one 3 is, either getting zero 3 or only one 3.

P(A) =The \ probability \ of \ getting \ zero \ 3 =(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6})=\frac{625}{1296} =0.48                    ( ∵ xxxx )

P(B) = The \ probability \ of \ getting \ only \ one \ 3 =(4)(\frac{1}{6})(\frac{5}{6})(\frac{5}{6})(\frac{5}{6}) = 0.38                    ( ∵ 3xxx, x3xx, xx3x, xxx3 )

P(Atmost one 3) = P(A) + P(B) = 0.48 + 0.38 = 0.86

7 0
3 years ago
Other questions:
  • Please answer this in two minutes
    10·2 answers
  • Describe how to transform the quantity of the sixth root of x to the fifth power, to the seventh power into an expression with a
    13·1 answer
  • Sullivan’s boss has 5 eyes total. Three of his eyes are smaller than the other two. Write a ratio of small eyes to large eyes.
    14·1 answer
  • What is the solution of 4+sqrt5x+66=x+10
    15·1 answer
  • Find the area of the parallel gram 6 and 1/5 times 5
    6·1 answer
  • Based on these results, enter the expected probability of seeing yellow marble from the bag in one attempt
    9·1 answer
  • 0.21 =0.7 true or false <br> 0.21 = 0.3 true or false
    11·1 answer
  • Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7)
    14·2 answers
  • Compare using &gt;, &lt;, or =.<br> 11 yards<br> 51 feet
    6·1 answer
  • PLZ HELP ASAP!!!!!!!!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!