Your answer should be d
There are 48 colas and 24 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?
A. 1 to 4
B. 4 to 1
C. 1 to 2
D. 2 to 1
Scott received $88.50 from a customer whose meal bill was $75. What percent tip did Scott receive? A. 12% B. 15% C. 18% D. 20%
Calculate the sum or difference. Enter the answer as a fraction in lowest terms, using the slash ( / ) as the fraction bar.
3/4 + 4/5
Math~
Find the area of the shaded parts
Which expression can be used to find the slope of a line containing the points (–3, 2) and (7, –1)?
mc003-4.jpg,
Answer:
[tex]m=\frac{-1-2}{7+3}[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(-3,2)\ B(7,-1)[/tex]
Substitute the values
[tex]m=\frac{-1-2}{7+3}[/tex]
[tex]m=\frac{-3}{10}=-0.3[/tex]
jean and mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete it in 12 hours. Their supervisor thinks that the job will take 10 hours to complete if they work together. Explain each step in solving the equation, and determine if the supervisor is correct or not.
The number of hours to complete the work together is 4.8 hours.
No, the supervisor is not correct.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Jean:
Time taken to fill the pool =8 hours
In one hour, 1/8 of the work is done.
Mark:
Time taken to fill the pool = 12 hours.
In one hour, 1/12 of the work is done.
Now,
Together the time is taken to complete the work.
1/8 + 1/12 = (3 + 2)/24
1/8 + 1/12 = 5/24
This can be written as,
1/8 + 1/12 = 1/(24/5)
This means,
The time taken to complete the work together.
= 24/5
= 4.8 hours.
Thus,
The time taken to complete the work together is 4.8 hours.
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These are the values in Ariel’s data set. (1, 67), (3, 88), (5,97), (6, 101), (8, 115) Ariel determines the equation of a linear regression line to be yˆ=6.5x+63.8 . Use the point tool to graph the residual plot for the data set. Round residuals to the nearest unit as needed.
Answer:
Correct answers below. :)
Step-by-step explanation:
Hope this helps! Have a good day!
The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel? $1.25 $2.00 $2.25 $2.75
Cost of a pretzel is equals to $2.25.
What is system of equations?
" A system of equations is a finite set of equations for which we find the common solution."
According to the question,
'x' represents the cost of pretzel
'y' represents the cost of lemonade
As per situation given system of equation are,
Situation1: The total cost of two pretzels and a lemonade is $5.75, which can be represented by equation:
[tex]2x + y = \$5.75[/tex] ____(1)
Situation2: The total cost of two lemonades is $0.25 more than the cost of a pretzel, which can be represented by equation:
[tex]2y = 0.25 +x[/tex] _____(2)
Multiply equation (1) by 2 we get,
[tex]4x + 2y = \$11.5[/tex] ______(3)
Substitute the value of 2y from (2) in (3) to get the cost of pretzel,
[tex]4x + 0.25 +x = \$11.5[/tex]
⇒ [tex]5x = 11.5 - 0.25[/tex]
⇒ [tex]5x = 11.25[/tex]
⇒ [tex]x =\frac{11.25}{5}[/tex]
⇒[tex]x=\$2.25[/tex]
Hence, cost of a pretzel is equals to $2.25.
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Jeremy is going to roll a fair 6-sided die 180 times. What is the best prediction for the number of times that Jeremy will roll a number greater than 4?
Answer:
Step-by-step explanation:Close to 60 times but probably not exactly 60 times
Andrew and Ryan spend a total of $44 at a state fair. There is an entrance fee of x dollars per person, and each ride costs $3.50. If they went on the same number of rides, which equation correctly represents this relationship, where n is the number of rides? Choose all that apply.
A. x + 7n = 44
B. 2(x + n) = 44
C. 2(x + 3.5n) = 44
D. x + 3.50n = 44
E. 2x + 7n = 44
F. 2x + 3.50n = 44
Answer:
C. 2(x + 3.5n) = 44
E. 2x + 7n = 44
Step-by-step explanation:
Hi, to answer this question we have to write an equation that represents the situation:
So, the total money spent by the 2 friends is $44. That cost is equal to the price of the entrance fee (x) multiplied by 2 (since they are 2), plus the cost of each ride (3.50) multiplied by the number of rides (n) and also by 2 (since they are 2)
Mathematically speaking:
2(x + 3.5n) = 44
So, the correct options are
C. 2(x + 3.5n) = 44
E. 2x + 7n = 44 (is equivalent, obtained if we apply distributive property to option C.)
Addison bought 5/6 yard of ribbon. She used 1/4 yard of ribbon to decorate her scrapbook. How much ribbon did she have left after decorating the scrapbook?
If you add 0.43 to a certain number then subtract 0.58 from the result and then another 4.04, you’ll get 30.3. What is the certain number?
Answer:
34.49.
Step-by-step explanation:
what is the solution of the following system?
4x-y=15
3x+2y=-8
(-1,-19)
(2,-7) <--- is this the right answer?
(4,-5)
(5,5),
Please, help me. I'm not sure what to do.
Factor completely: 8x5 + 28x4 + 12x3
A) 2x3(2x + 6)(x + 1)
B) 2x3(2x - 6)(x - 1)
C) 4x3(2x + 1)(x + 3)
D) 4x3(2x - 1)(x - 3)
Which image represents the first step in constructing the copy of a line segment?
Solve each multiplication problem, use the cancellation method if possible, and reduce your answers.
a. 39⁄64 × 8⁄13
b. × 1⁄5 × 4⁄7
c. 3⁄5 × 10⁄12 × 1⁄2
d. 4⁄9 × 54
e. 20 × 3 1⁄5
f. 11 × 2 7⁄11
g. 5 1⁄3 × 5 1⁄8
h2⁄3. 10 2⁄3 × 1 3⁄8
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Probabilities where the focus is on just one group of objects and a random sample is taken from that group alone are called what? choose the correct answer below. mutually exclusive probabilities categorical probabilities conditional probabilities random probabilities
The side lengths for \thetaθ are opposite = 8, adjacent = 6, hypotenuse = 10.
If ab = 20 cm and bc = 4 cm, then what are the possible lengths for ac so that ab, bc and ac can form a triangle?
A courier worked 39 hours and earned $429, which included some compensation for paid time off. If his true hourly wage is $3 per hour more than the pay rate shown on his pay stub, what rate is shown on his pay stub?
Hint: The true hourly wage is the earnings on the pay stub divided by the hours worked.
A. $17 per hour
B. $8 per hour
C. $13 per hour
D. $11 per hour
Answer:
Option B is correct.
Step-by-step explanation:
Number of hours A courier worked = 39
Money a courier earned = $ 429
⇒ Hourly Wage of the courier = [tex]\frac{429}{39}[/tex]
= $ 11 per hour
Let x be the rate shown on his pay stub.
According tot he Question,
x + 3 = 11
x = 11 - 3
x = 8
Therefor, Option B is correct.
PLEASE HELP ME ON THIS N TRY TO EXPLAIN!!!!!!!!
IF 2 PPL ANSWER I WILL GIVE BRAINLIEST IF ITS CORRECT
The key idea of the transformation called a rotation is moving a plane a specified -------- about a fixed ------.
The key idea of the transformation called a rotation is moving a plane a specified Distance about a fixed Point
A rectangle is 999 meters long and 444 meters wide. what is its area?
Answer:
36
Remember, This is if you actually typed 9 and 4 but copy and pasted.
The equation for area is Width x height.
now replace the Values, which is 9 x 4, and that equals 32.
**The other option
443556
Remember, This is if you actually typed 999 and 444.
The equation for area is Width x height.
Now replace Values, which is 999 x 444, and that equals 443556.
I hope it helped!! <3
How many of these sequences have a common different of -4?
-19, -15, -11, -7, -3, ...
19, 15, 11, 7, 3, ...
3, 7, 11, 15, 19, ...
-3, 7, -11, 15, -19, ...
0
1
2
3
3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent
Using the compound interest formula, the future value of $3600 placed in an account with a 9% annual interest rate after 25 years will be approximately $31042.80.
Calculate the Future Value with Compound Interest
To determine how much will be in the account after 25 years with an annual interest rate of 9%, we will use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the amount of money accumulated after n years, including interest.P = principal amount (the initial amount of money) = $3600.r = annual interest rate (decimal) = 0.09.n = number of times the interest is compounded per year = 1 (compounded annually).t = number of years the money is invested or borrowed for = 25.Step by step solution
Substitute the given values into the formula:
[tex]A = 3600 \times (1 + 0.09/1)^(1 \times 25)[/tex]
Simplify the expression inside the parentheses:
[tex]A = 3600 \times (1 + 0.09)[/tex]
Calculate (1 + 0.09) = 1.09.
[tex]A = 3600 \times (1.09)^{25}[/tex]
Raise 1.09 to the power of 25:
[tex]A \approx 3600 \times 8.623[/tex]
Multiply 3600 by 8.623:
[tex]A \approx 3600 \times 8.623 = 31042.80[/tex]
After 25 years, there will be approximately $31042.80 in the account.
Will fan and medal. How is this correct?
3. A family is building a circular fountain in the backyard. The yard is rectangular and measures 7x by 6x and the fountain is going to be circular with a radius of 2x. Once the fountain is build, what will be the area of the remaining yard?
A. 38x^2
B. [x] 2x^2 (21 – 2pi)
C. 42x^2 – 2pix^2
D. 38pix^2,
Step [tex]1[/tex]
Find the area of the rectangular yard
the area of the rectangular yard is equal to
[tex]A=L*W[/tex]
where
L is the length side of the rectangle
W is width side of the rectangle
in this problem we have
[tex]L=7x\ units\\W=6x\ units[/tex]
[tex]A=L*W[/tex]
[tex]A=7x*6x[/tex]
[tex]A=42x^{2}\ units^{2}[/tex]
Step [tex]2[/tex]
Find the area of a circular fountain
we know that
the area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
in this problem we have
[tex]r=2x\ units[/tex]
substitute
[tex]A=\pi (2x)^{2}[/tex]
[tex]A=4\pi x^{2}\ units^{2}[/tex]
Step [tex]3[/tex]
Find area of the remaining yard
Subtract the area of a circular fountain from the area of the rectangular yard
[tex]42x^{2}\ units^{2}-4 \pi x^{2}\ units^{2}=2x^{2}[21-2\pi][/tex]
therefore
the answer is the option B
[tex]2x^{2}[21-2\pi]\ units^{2}[/tex]
#14) PLEASE HELP WITH QUESTION!!!!
MARKING BRAINLIEST + POINTS
A car travels from town a to town b at an average speed of 40 miles per hour, and returns immediately along the same route at an average speed of 50 miles per hour. what is the average speed in miles per hour for the round trip?
Solve the radical equation. square root 6n-11= n – 3 Which solution is extraneous? A.)2
B.)There are no extraneous solutions to the equation.
C.)7
D.)10