The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
21.2d + 12.4f
Step-by-step explanation:
Given that:
Width of rectangle = (5.5d+9.7f) centimeters
Length of rectangle = (5.1d-3.5f) centimeters
Perimeter of a rectangle : 2 (length + Width)
2 [(5.1d-3.5f) + (5.5d+9.7f)]
2[5.1d - 3.5f + 5.5d + 9.7f]
2[10.6d + 6.2f]
= 21.2d + 12.4f
Hence, the perimeter is :
21.2d + 12.4f)
A gym charges $8.75 for each swimming class and a one time registration fee of $12.50. A student paid a total of $56.25. Write and solve an equation to find the number of swimming classes the student took.
Answer:
12.50 + 8.75x = 56.25
12.50 + 8.75 (5) = 56.23
12.50 + 43.75 = 56.23
Step-by-step explanation:
PLEASE HELP I CANT DO MATH
Answer:
c
Step-by-step explanation:
the number line says less than 4 so if you solce for all the equations c will be x<4
HELP!!!!!!!
What is 2 8/10 + (-3.5) in decimal form
Answer: -0.7
Step-by-step explanation:
Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C , for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts? Record your answer and fill in the bubbles on your answer document.
Answer:
I might be wrong but I think the answer Is 234!
I hope you do Great!!
Step-by-step explanation:
Help! Now help! ASAP!I’ll make you brainly now please
Answer:
35
Step-by-step explanation:
Answer:
-35 meters
Step-by-step explanation:
He's below sea level, basically saying below 0= sea level.
Then it's basically saying -172+ 137 meters because the shark is going upwards 137 meters, which makes 137 positive. Dude, remember, up is positive and down is negative. So the answer to this problem would be -35 meters because of -172+137=-35. Hope this helped you.
consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)
Answer:
23/3
Step-by-step explanation:
x=-4
plug x into equation
4(-4)+3y = 7
-16+3y = 7
3y=23
y=23/3
make sure to show your work
−104 = 8x
Answer:
x= -13
Step-by-step explanation:
-104=8x
8x= -104
8/8x= -104/8.... dividing both sides by 8
x=-13
You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
A. x + 15 ≥ 60
B. x – 15 ≥ 60
C. x – 15 ≤ 60
D. x + 15 ≤ 60
Answer:
D is the correct answere
Answer these two questions correctly and I’ll give brainlist ❤️.
Carmen spent 88$ at the mall. The money she spent was 25% of the total amount she had in her wallet. How much money did Carmen have in her wallet?
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were the tiger trout?
I will be giving out brainlist if the answer you submitted was correct❤️.
Please answer correctly and don’t waste my points these were hard to earn :((((
Answer:
Question 1: She had $352 in her wallet
Question 2: The percent of the trout were the tiger trout is 45%
Step-by-step explanation:
Question 1:
∵ Carmen spent $88 at the mall
∵ The money she spent was 25% of the total amount she had in her wallet
→ Assume that the amount she had in her wallet is $x
∴ 25% of x = 88
→ Change 25% to decimal by divide it by 100
∵ 25% = [tex]\frac{25}{100}[/tex] = 0.25
∴ 0.25 × x = 88
∴ 0.25x = 88
→ Divide both sides by 0.25 to find x
∴ [tex]\frac{0.25x}{0.25}=\frac{88}{0.25}[/tex]
∴ x = 352
∵ x represents the total amount she had in her wallet
∴ She had $352 in her wallet
Question 2:
∵ Kendrick caught 22 rainbow trout and 18 tiger trout while fishing
last month
∴ The number of rainbow trout = 22
∴ The number of tiger trout = 18
→ To find the percent of tiger trout divide its number by the total number
of trout, then multiply the result by 100%
∵ The total number of the trout = 22 + 18 = 40
∴ The percent of the tiger trout = [tex]\frac{18}{40}[/tex] × 100%
∴ The percent of the tiger trout = 45%
∴ The percent of the trout were the tiger trout is 45%
Solve the following equation for x using inverse operations 7x-15=1
Answer:
x = [tex]\dfrac{16}{7}[/tex]Step-by-step explanation:
Equation
7x - 15 = 1 → Move the -15, reversing the sign:
7x = 1 + 15 → Solve the sum:
7x = 16 → We have a fraction:
x = [tex]\dfrac{16}{7}[/tex]
x = 2.28571428571
To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].
Hope this helps!
Good studies! ☺
The solution of the equation for x is;
⇒ x = 16/7
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
7x - 15 = 1
Now, Solve the expression for x by using inverse operations as;
7x - 15 = 1
Since 15 is subtract and inverse of subtraction is addition.
Hence,
Add 15 both side we get;
7x - 15 + 15 = 1 + 15
7x = 16
7 is multiply by x, and inverse of multiplication is divide;
So, Divide by 7 both side;
x = 16/7
Thus, The solution of the equation for x is;
⇒ x = 16/7
Learn more about the inverse operations visit:
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Tyler earned 60 points on his last test. If there were 75 possible points, what was his percent grade?
Answer:
his percent grade was 80
Step-by-step explanation:
15 is 20 percent of 75
This is a proportion problem. Eric earned 60 out of a possible 75 points, so the ratio is 60/75. You put that equal to x, so 60=x% and 75=100%. So it would look like
60 = x
75 100
then you cross multiply 60 and 100, and 75 and x, so you get
6000=75x
then divide by 75 and you have your percent
You change a fraction into a percentage by multiplying by 100.
So, for example, half is 1/2. Multiply by 100 gives 100/2=50. So half is 50%.
Taminka received a raise in her hourly pay, from $13.50 to $14.99. Find the percent change. Round to the nearest percent.
Answer:
[tex]\% = 11\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = \$13.50[/tex]
[tex]Final = \$14.99[/tex]
Required
Determine the percentage change
This is calculated as:
[tex]\% = |\frac{Initial - Final}{Initial} * 100\%[/tex]
[tex]\% = |\frac{13.50 - 14.99}{13.50}| * 100\%[/tex]
[tex]\% = |\frac{-1.49}{13.50}| * 100\%[/tex]
[tex]\% = \frac{1.49}{13.50} * 100\%[/tex]
[tex]\% = \frac{1.49* 100\%}{13.50}[/tex]
[tex]\% = \frac{149\%}{13.50}[/tex]
[tex]\% = 11.037037037\%[/tex]
[tex]\% = 11\%[/tex]
Help!!!!!!!Plz!!!!!!!
Answer:
I'm so confused
Step-by-step explanation:
Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d2
7 in
14 in
22 in
44 in
Answer:
14 in
Step-by-step explanation:
Given:
Circumference of circle = 44 in
Required:
The length of the diameter of the circle.
SOLUTION:
Circumference of circle = πd
Circumference = 44 in
π = 3.14
d = ?
Plug the values into the formula
44 = 3.14*d
Divide both sides by 3.14
44/3.14 = d
14.01 = d
d ≈ 14 in
Solve for b. Show your work: 3b+2(b-3)=4 HELP
Answer:
b=2
Step-by-step explanation:
First multiply everything in the parenthesis by the 2 outside of them then combine like variables to get the equation 5b-6=4 then subtract 6 from both sides then divide by 5 to get b=2.
will give u brainliest if i get it write hurry!!!
Answer:
c trust me
and well i just did that 20 mins ago
Answer:
C for sure hope you get it
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.
Answer
-4/3
Step-by-step explanation:
please whats the answer?
Answer:
B
Step-by-step explanation:
since it is negative its below
hope this helps :3
if it did pls mark brainliest
Answer:
B. 282 feet below sea level
Step-by-step explanation:
|x |-8= -5
what's the answer
Answer:
|x |-7 = -5 ( x = -3 )
Step-by-step explanation:
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score
Complete question :
A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score 25th, 75th, 95th
Answer:
1.) 25th percentile = 74.95
2.) 75th percentile = 95.05
3.) 95th percentile = 109.75
Step-by-step explanation:
Given that :
Mean (m) = 85
Standard deviation (s) = 15
The Zscore, corresponding to the percentiles given:
25th percentile score corresponds to a Zscore of - 0.67
Recall the relation:
Zscore = (x - m) / sd
x = score; m = mean = 85 ; sd = standard deviation = 15
-0.67 = (x - 85) / 15
15 * - 0.67 = x - 85
-10.05 = x - 85
x = 74.95
2.) 75th percentile ; Zscore = 0.67
0.67 = (x - 85) / 15
15 * 0.67 = x - 85
10.05 = x - 85
x = 10.05 + 85
x = 95.05
3.) 95th percentile ; Zscore = 1.65
1.65 = (x - 85) / 15
15 * 1.65 = x - 85
24.75 = x - 85
x = 24.75 + 85
x = 109.75
Order the fractions 1/2, -2/3, -3/8 0 from least to greatest
Answer:
-2/3, -3/8, 0, 1/2
Step-by-step explanation:
2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
Learn more about arithmetic here:
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HELP ASAP IT'S AN EMERGENCY
Answer:
AAS
Step-by-step explanation:
It has two sets of angles that are congruent. I'm no 100% so hope the picture helps you a little!!
If m<7 is 2x + 30 and m<28 is 3x - 10, find the
following:
Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
or
m∠8 = 180 - 94 = 86
m∠3 ≈ m∠7 (corresponding angles)
Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.
Answer:b
Step-by-step explanation:
x - 4x + 2 = -X- 2x + 3
Plz help
The question is wrong bro.
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.
Answer:
0.3264
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where
x is the raw score,
μ is the population mean,
σ is the population standard deviation.
(x-μ) = 3.6 mm
σ = √variance = √64 = 8mm
z = 3.6/8
z = 0.45
Using the Probability table
P(x<Z) = 0.67364
P(x>Z) = 1 - P(x<Z)
1 - 0.67364
= 0.32636
Approximately = 0.3264
Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of sleep. What is the percent increase in the number of hours that the student will sleep? Round your answer to the nearest whole percent.
Answer:
52%
Step-by-step explanation:
Number of hours of sleep a student gets = 5.28hrs
A teacher wants the student to get = 8hrs of sleep
Unknown:
Percentage increase in the number of hours the student will sleep = ?
Solution:
Percentage increase = [tex]\frac{New sleep hours - former sleep hours}{former sleep hours}[/tex] x 100
Percentage increase = [tex]\frac{8 - 5.28}{5.28}[/tex] x 100 = 51.5%
Percentage increase = 52%
Kara and Nathan participated in a 60-minute maze race.
Kara:
32 minutes
Nathan:
40 minutes
Part B
Is the relationship in Part A rational or irrational? Justify your answer.
Select the answers that complete the sentences.
Hint(s): A rational number can be written as a ratio of two integers.
Can the times for each be written as integers?
The relationship is
The number
be expressed as a ratio of two integers.
1 rational
11 irrational
can
I cannot
Answer:
A) There is a rational relationship, B) Given ratio is not an integer.
Step-by-step explanation:
A) Is the relationship in Part A rational or irrational? Justifty your answer.
From Mathematics we remember that a rational number can formed by dividing a natural number by another natural number. Since Kara and Nathan had two natural numbers {32, 40} as their times of participation in the maze race, ratio between those times can be considered a rational number.
Hence, there is a rational relationship.
B) Can the times for each be written as integers?
The times represents the ratio of the upper number (40) to the lower number (32), the "times" can be written as integer if and only if denominator is equal to 1 after simplifying the ratio. That is:
[tex]x = \frac{40}{32}[/tex]
[tex]x = \frac{20}{16}[/tex]
[tex]x = \frac{10}{8}[/tex]
[tex]x = \frac{5}{4}[/tex]
In consequence, this ratio does not represent an integer. ([tex]1.25=\frac{5}{4}[/tex])