The total money spent on the gas will be equal to $151. Hence, option (a) is correct.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the instructions in the question,
Driving each month = 1000 miles
Then,
1000/18.2 = 54.94
The price is $2.75 per gallon.
Then, the money spent on gas will be,
54.94 × 2.75 = $151.
To know more about arithmetic operations:
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Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross pay. The Medicare tax is 1.45% of gross pay.)
$218.79
$205.02
$177.32
$41.47
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )
Answer:
Hopefully u will satisfy with my answer..!!HELP ASAPPPPP NO WRONG ANSWER PLS
Answer:
40
Step-by-step explanation:
one cubic cm would be 2x2x2=8 half cm³
you have 1x2x2.5 cm cube = 5 cm³
5 x 8 = 40
another way to look at it:
2 1/2 = 5 half-cubes long
2 = 4 half cubes wide
1 = 2 half cubes tall
5 x 4 x 2 = 40
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store.
The question is incomplete:
As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store. Let x represent the number of televisions and y represent the number of projection systems sold in a given day. Write a system of inequalities that describes what is necessary to obtain the stores goal.
Answer:
The system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
Step-by-step explanation:
According to the information provided, you know that the owner never has more than 25 items total in the store which means that the sum of the amount of televisions and projection systems is less than or equal to 25, which can be expressed as:
x+y≤25, where:
x is the number of televisions
y is the number of projection systems
Also, the statement indicates that the price per television is $475 and the price per projection system is $360 and that the store looks to sell at least $7600 worth of televisions and projection systems per day. This means that the result of adding up the sales of televisions and projection systems should be greater than or equal to 7600:
475x+360y≥7600
The answer is that the system of inequalities that describes what is necessary to obtain the stores goal is:
x+y≤25
475x+360y≥7600
Which represents the dimensions of the rectangular park?
A. W = 20 ft. and / = 50 ft.
B. w = 30 ft. and I = 80 ft.
C. w = 50 ft. and I = 20 ft.
D. w = 80 ft. and I = 60 ft.
Find an equation for the line below
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
R varies inversely with x. If R= -2 when x = 6, what is the value of R when x = -3?
Ο Α. -1
0 B 4
O C.-4
OD. 1
Answer:
R=x = R= −2 =x =6 =R =x =− 3=
Step-by-step explanation:
I need to know the answer to the question
Answer:
X=4
Step-by-step explanation:
Answer and Step-by-step explanation:
To get x, we need to put everything on the right. We start off by multiplying each side by 3.
3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3
7 + 2x = 15
Now, we subtract 7 from each side.
(7 + 2x) - 7 = 15 - 7
2x = 8
Finally, we divide each side by 2.
2x ÷ 2 = 8 ÷ 2
x = 4
The answer to this equation is x = 4.
I hope this helps!
A thanks and 5 stars + brainliests are appreciated, but I help to help!
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Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
A cube has a total surface area of 150 inches squared. Considering every side length is
congruent, and every face equivalent on a cube, what is the side length?
Answer:25.0
Step-by-step explanation: 5.0 times 5.0
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Valerie replaces one car alternator every 1.75 hours. She takes a 1-hour lunch break.
Which equation can be used to determine how many alternators she replaces in 8 hours?
Multiple choice question.
A)
1.75w−1=8
B)
1.75w+1=8
C)
18w−1=8
D)
18w+1=8
Answer:
A)
1.75w−1=8
Step-by-step explanation:
Ian paints /8 of a fence. Anna paints 3/4 of another fence. Draw a number line to show that Ian and Anna have painted the same amount of each fence.
Answer:
See attachment for number line
Step-by-step explanation:
Given
[tex]Ian = \frac{6}{8}[/tex]
[tex]Anna = \frac{3}{4}[/tex]
Required
Number line to represent both amounts
The interval on the number line is 16.
So, we need to calculate the position of both as thus.
[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]
[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]
So, both will be positioned on the 12th position.
The yellow dot represents Anna while the blue dot represents Ian
See attachment for their position on the number line
The state of Colorado covers about 1.04 * 105 square miles. The Indian Ocean covers about 2.808 * 107 square miles. How many times bigger than Colorado is the Indian Ocean?
Answer:
270 times
Step-by-step explanation:
The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.
a.f(a)=22
b.f(a)=37
c.f(a)=32
d.f(a)=42
Answer:
with no question asked the answer could be anyone of the options
Step-by-step explanation:
-3(d + -2) + -4 = 5
solve for d
Answer:
d=−1
Step-by-step explanation:
−3(d−2)−4=5
Step 1: Simplify both sides of the equation.
−3(d−2)−4=5
(−3)(d)+(−3)(−2)+−4=5(Distribute)
−3d+6+−4=5
(−3d)+(6+−4)=5(Combine Like Terms)
−3d+2=5
−3d+2=5
Step 2: Subtract 2 from both sides.
−3d+2−2=5−2
−3d=3
Step 3: Divide both sides by -3.
−3d
−3
=
3
−3
d=−1
[tex]-3(d+(-2))+(-4)=5[/tex]
[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]
What is the area of this shape hurry
Answer:
15 units squared
Step-by-step explanation:
sorry if im wrong
Answer:
12
Step-by-step explanation:
Area of triangle + area of square + area of triangle = total area
(Area of a triangle: A = 1/2bh)
(Area of a square: A = bh)
Area of smallest triangle =
A = 1/2 (2) (2) = 2
Area of largest triangle=
A = 1/2 (2) (6) = 6
Area of the square =
A = 2 x 2 = 4
Total shape:
2 + 4 + 6 = 12
A florist used 18 flowers to make a bouquet, including 8 lilies.
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
Answer:
4/9 will be the probability.
Hope it helps you!!
. A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based on a random sample of 10 balls you find a standard deviation of 3.2 mm. Does the sample suggest the standard deviation is higher than that claimed by the manufacturer?
Answer:
Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer
Step-by-step explanation:
Sample standard deviation, s = 3.2
Population standard deviation, σ = 2
Defining the Null and alternative hypothesis :
H0 : σ = 2
H1 : σ > 2
The test statistic :
Use the Relation :.
[(n - 1)*s²] ÷ σ²
[(10 - 1) * 3.2²] ÷ 2²
(9 * 10.24) ÷ 4
92.16 ÷ 4
= 23.04
We obtain the Pvalue for the distribution :
Using the Pvalue from Chisquare distribution calculator :
Pvalue(Chisquare score, df)
df = n - 1 = 10 - 1 = 9
Pvalue(23.04, 9) = 0.006107
Decision :
If Pvalue is < α ; Reject H0 ; α = 0.05
0.006107 < 0.05 ; We reject H0
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $11. The auditorium can hold at most 100 people. The drama club must make no less than $770 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.
Step-by-step explanation:
Answer:
possible solution (10,80)
Step-by-step explanation:
Variable Definitions:
x=the number of student tickets sold
y= the number of adult tickets sold
“at most 100 people"→100 or fewer tickets
Therefore the total number of tickets sold, x+y, must be less than or equal to 100:
x+y≤100
“no less than $770"→$770 or more
Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:
6x+11y≥770
Solve each inequality for y:
x+y≤100
y≤−x+100
6x+11y≥770
11y≥770−6x
y≥ -6/11x+70
Graph y≤100−x by shading down and graph y≥-6/11x+70
by shading up
Kate bought a house for 198,000 and then sold it for 230,000 one year later. What is the profit as a percentage?
Answer:
profit as a percentage= 21.74%
Step-by-step explanation:
Giving the following information:
Purchase price= $180,000
Selling price= $230,000
To calculate the profit as a percentage, we need to use the following formula:
profit as a percentage= (profit/selling price)*100
profit as a percentage= 50,000/230,000*100
profit as a percentage= 21.74%
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Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.
Answer:
3y=x-12
y=x/3-4
m=1/3
At (18,2)
y-2=1/3(x-18)
y-2=x/3 - 6
y=x/3 - 4
Help help help help help help help
A teacher wants to determine how to sit 30 students in a classroom.
What simulation can be used determine where the students sit?
A
A coin is used and assigned for every two students.
B
A six-sided number cube and every 6 students are assigned
a side.
С
A random number generator where each student is assigned a number.
D
A standard deck of cards is used and students are assigned to the cards.
Answer:
I think C. because that will be easier and less chaotic
Tools
Question 11
The table shows the relationship between y, the cost to rent a boat, and the amount of time the boat is rented,
Boat Rental Costs
Time, X Cost, v
(hours) (dollars)
1
3
5
80
7
104
Which graph best represents the relationship between x and y shown in the table
Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).
Answer:
y = -2x + 2
Step-by-step explanation:
8 + 4/ -6
= -2
y = -2x + b
8 = -2(-3) + b
8 = 6 + b
2 = b
check work
-4 = -2(3) + 2
-4 = -6 + 2
-4 = -4
it is correct
coordinate planes
again
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
does the volume method length x width x height apply to all volume finding questions
Answer:
No.
Step-by-step explanation:
This only applies to solids like cubes and some prisms.
It does not apply to such solids are cylinders, pyramids, cones and triangular prisms. It will apply to a prism whose cross-section is a rectangle.
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137