Customers of a utility company received notices in their monthly bills that heating costs for the average customer had increased 125% over last year because of an unusually severe winter. In January of last year, the Garcia's paid $120 for heating. What should they expect to pay this January if their bill increased by 125%?
Answer: $270
Step-by-step explanation:
Cost of heating last year = $120
The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:
= $120 + (125% × $120)
= $120 + (1.25 × $120)
= $120 + $150
= $270
DIRECTIONS: Use this information to answer Parts A and B.
A home sold for S286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate
agent, which was 6%.
Part A
How much commission did the real estate agent earn on the sale?
Enter the correct answer in the box.
Answer:
$17,160
Step-by-step explanation:
286,000·0.06=17,160
Assume the two lines ↔AB and ↔XY intersect as in the diagram below. Which of the following statements are true?
Check all that apply.
Gianna paid $4.75 for a strawberry smoothie. She now has $12.35. How much money did Gianna have before she bought the smoothie? Select all that apply. m - 4.75 = 12.35 A. Add 4.75 to both sides of the equation. B. Subtract 4.75 from both sides of the equation. C. 12.35 + 4.75 = 17.10. D. 12.35 - 4.75 = 7.60. E. Gianna had $7.60 before she bought the smoothie. There is more than one answer.
Answer:
Add 4.75 to both sides of the equation.
Step-by-step explanation:
using the notation from the options in the answer, say the money that Gianna had was m
And she paid $4.75 for a strawberry smoothie.
then we can calculate the money she had by subtracting the $4.75 paid for a strawberry smoothie from m and equating it to her the balance she has currently
so mathematically
m-4.75=12.34
Add 4.75 to both sides of the equation we have
m-4.75+4.75=12.34+4.75
m=$17.09
The correct answer is
Gianna had $17.09 before she bought the smoothie
Answer:
A. add 4.75 to both sides of the equation.
C. 12.35 + 4.75 = 17.10
Step-by-step explanation:
b
It takes 4 workers 6 days to build a shed.
How many sheds could 2
of the workers make in 36
days, if all of the workers
work at the same rate?
[tex] - 5 {u}^{4} \times ( {u}^{4} )[/tex]
PLEASE HELP ME
You go out to lunch with some friends at your favorite restaurant. The bill is $25.56 and you want to leave a 20% tip. What is the TOTAL COST of the bill with tip included?
$20.45
$30.67
$127.80
$5.11
Answer:
30.67
Step-by-step explanation:
20 percent of 25.56 is 5.1
The product of four and a number +17 is five
Answer: n = -3
.........................
what is the additive inverse of x+3
Answer:
-x-3
Step-by-step explanation:
(x+3) + the additive inverse = 0
the additive inverse = -(x+3)
(Will give Brainliest)
Answer:
b-4.2<-7.5
Step-by-step explanation:
b-4.2<-7.5
this is because the number given as "b" minus 4.2 (as shown on the left) is less than (<) -7.5, so this inequality makes sense.
Answer:
b-4.2<-7.5
Step-by-step explanation:
Simplify the ratio.
14 ft to 21 ft
14 ft to 21 ft = 2 ft to 3 ft
What is the slope of a line that is perpendicular to the
line shown on the graph?
Answer:
D or four
Step-by-step explanation:
The slope of a perpendicular line is always the reciprocal of the first lines slope :) have a nice day!
Really need Help with this One..
Answer: 49.5
Step-by-step explanation:
All triangles equal 180 degrees
We know two of these degrees
73+57.5=130.5
180-130.5=49.5 degrees
In 1819, the United States purchased Florida from Spain for
$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
A) 6.6EE4×5EE(-)6
B) 6.6EE4÷5EE6
C)5EE6×6.6EE4
D)5EE6÷6.6EE4
Answer:
D. 5 x 10⁶ ÷ 6.6 x 10⁴Step-by-step explanation:
If 6.6 x 10^4 square miles of florida costs $5 X 10^6, then to get one square miles we will follow the given steps below;
6.6 x 10^4 mi² = $5 X 10^6
1mi² = $x
Cross multiply;
$5 X 10^6 * 1 = 6.6 x 10^4 * x
6.6 x 10⁴ x = 5 X 10⁶
Divide both sides by 6.6 x 10⁴ to get x;
6.6 x 10⁴ x /6.6 x 10⁴ = 5 x 10⁶/6.6 x 10⁴
x = 5 x 10⁶ ÷ 6.6 x 10⁴
x = 0.76*10⁶⁻⁴
x = $0.76*10²
Hence the key strokes on a calculator will give the cost the United States paid for each square mile of Florida is 5 x 10⁶ ÷ 6.6 x 10⁴
How do I round up this number 86,088
Answer:
86,000
Step-by-step explanation:
You look at the 88 and 88 would round up to one, but since 1 is less than four the number becomes 86,000
Solving Inequalities
-4x/5 < 20
(Show your work)
Answer:
x > -25
Step-by-step explanation:
Write it out: [tex]-\frac{4x}{5} < 20[/tex] Multiply each side by 5 to cancel out the 5 under -4x. It should now look like this: -4x < 100Divide each side by -4 to cancel out the -4 next to x. It should now look like this: x > -25I hope this helps!
Please help me immediately I’m very stuck
Answer:
D
Step-by-step explanation:
because you want to find the sum of the amount.
What is the simplest form of 4a + 8b/12
Step by step pls
Answer:
4a + 2b/3
Step-by-step explanation:
focus on 8b/12 first:
factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3
then, go back to 4a:
4a is in its simplest form, it can't be factor
therefore, plus 4a and 2b/3 = 4a + 2b/3
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile costs $4.00, and the adhesive and grouting material needed for the whole job costs $15.82. The contractor is charged a total of $655.82, how many ceramic tiles did the contractor purchase?
Answer:
160 tiles.
Step-by-step explanation:
First let's make an equation.
Each tile costs $4, let's make t=number of tiles.
+$15.82, and the total cost being $655.82
So ideally our equation would look like
4t+15.82=655.82
Now solve.
First, subtract 15.82 on both sides.
4t=640
Second, divide 4 on both sides to make the variable t by itself.
t=160
So, the contractor purchased 160 tiles.
If the weather forecast calls for a 20% chance of light rain tomorrow, would you say that it is likely to rain tomorrow?
Answer:
Unlikely
Step-by-step explanation:
There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The weather forecast calls for a 20% chance of light rain tomorrow.
Probability of rain:
P(rain) = 20% = 0.2
Complement event: Not rain tomorrow
Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%
P(not rain) > P(rain)
Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Find the next three term of this sequence 3.2,4.3,5.4,
Answer:
6.5, 7.6, 8.7
Step-by-step explanation:
It increases by 1.1 each time.
Solve for g: k=wv2/2g
Answer:
g = k/vw
Step-by-step explanation:
If m<1 = 88 , find the m<3.
Answer:
87?
Step-by-step explanation:
slipknot is the answer to all your problems
HEY CAN ANYONE ANSWER DIS PLS!
POSSIBLE POINTS: 4 The length of a rectangle is 4 inches more than the width. The area of the rectangle is 45 in2 Find the length and the width.
Answer:
x (x + 4) = 45
x^2 + 4x - 45 = 0
factor
(x + 9)(x - 5) = 0
x = -9 or 5
your length cannot be negative so x= 5 and x+4 =9
Step-by-step explanation:
Hope this answer is Wright
This is really confusing can someone help?
Answer:
D.780.8
Step-by-step explanation:
multiply 244 and 3.2 and you get D. hope this helps.
Answer:
B (780 4/5)
Step-by-step explanation:
He’s buying 24 boxes, and each box weighs 3 1/5 pounds. So we need to multiply 24 x 3 1/5, resulting in 780 4/5
So sorry if I’m wrong. Have a good day!
~Louella Marie Smith♥️
Length breadth and height of a room are 5 metre 4 metre and 4 metre Calculate its area
Answer:
Area = L x B
= 5m x 4m =20m square
Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction sine x, where x Is an element of [0, 2Pi)?
Left-brace 0, pi right-brace
Left-brace 0, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace pi, StartFraction 3 pi Over 2 EndFraction
Answer:
C.
Step-by-step explanation:
got it right on edge :)
The given trig function consist of trig values of common angles;
The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]
Reason:
The given function is presented as follows;
[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Where;
x ∈ [0, 2·π)
We have;
cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)
[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]
Which gives
[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Therefore, we get;
[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]
cos x = 0
[tex]cos \left(\dfrac{\pi}{2} \right) = 0[/tex]Therefore;
The possible solutions (x-values) to cos x = 0 are; [tex]0 \leq \dfrac{n \cdot \pi}{2} \leq 2 \cdot \pi[/tex]Where;
n = 1, 3, 5, ...
x ∈ [0, 2·π)
We get;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]Learn more here:
https://brainly.com/question/12774575
7.) What is -10 has a fraction?
After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 10 pounds. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth. W=? Please answer !!!
Answer:
W = 10 +1.5t
Step-by-step explanation:
10 pounds
addition of 1.5 pounds
