An architect plans to build an extension for a rectangular bedroom. The bedroom is 5 meters wide, and the original length of the bedroom is 8 meters. The length of the bedroom's extension, in meters, is represented by x. The expression 5(x + 8) represents the area, in square meters, of the bedroom
(Answer the two questions below)
Part A: Create an equivalent expression without parantheses.
Part B: What does each term of your expression represent?
Part A. The equivalent expression for the area of the rectangle without parenthesis is 5x + 40 sq meters and
Part B. The term represents that the area has been increased by 5 times the amount of the extension.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
So, The area of the rectangle before the length extension is,
= (5×8) sq meters.
= 40 sq meters.
Now, The length is extended by 'x' meters.
Therefore, The area of the rectangle after an extension in length is,
= 5(x + 8) sq meters.
= 5x + 40 sq meters.
The expression's phrase indicates that the area has grown by five times as much as the extension.
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Kate used 2/5 of a pound of sugar to bake cookies. She used another 3/4 of a pound of flour for the cookies. How many pounds of sugar and flour did she use in all?
0.53333333333 is your answer, this is a decimal just put the decimal into a fraction
Olivia makes and sells muffins and scones at
a school bake sale. She sells muffins for $0.50
each and scones for $0.80 each. She hopes
to raise at least $20. The inequality 0.50x
+ 0.80y z 20 represents the possible ways
Olivia could reach her goal. Is the ordered pair
(20,32) a solution for the problem situation?
9514 1404 393
Answer:
yes
Step-by-step explanation:
We can substitute the proposed solution values and see if the inequality is true.
0.50x +0.80y ≥ 20
0.50(20) + 0.80(32) ≥ 20
10 + 25.6 ≥ 20
35.6 ≥ 20 . . . . . . true; (20, 32) is a solution
please help meeee you see my dog took my calculator so now i don't know where it is
3. What is the solution of the following
addition equation?
t+8= 32
A. =4
B. = 24
C. r=40
D. 1 = 256
Please help
Answer:
(B) 24 I believe is the answer
Joey bought a dozen oranges for $3.50 and several bananas for $0.25 each at the grocery store. Joey spent a total of $5.75 on the fruit. Which number line best represents the number of bananas Joey purchased?
Answer:
where's the number line?
Answer:
B.
Step-by-step explanation:
In a state with a population of 2,000,000 the average citizen
spends $6,000 on housing each year. What is the total spent on
housing for the state? Express answer in scientific notation.
Answer:
1.2×10¹⁰
Step-by-step explanation:
Given that,
The population of the state = 2,000,000
Average Citizen spends on housing = 6000
We need to find the total spent on housing for the state.
Total spent on housing for state = Population of State × Average Citizen
Total spent = 2,000,000 × 6,000
= 1.2×10¹⁰
Hence, the total spent on housing for the state is 1.2×10¹⁰.
If John has 3 boxes of pizza and he has 5 friends how many slices do all his friend gets
Answer:
4
Step-by-step explanation:
A typical pizza consists of 8 pieces. 8x3=24
24/6 (including John) everyone will get 4 pieces :)
Answer:
4 pics of pizza all his friends get and he can also eat
Write 49 cm² in mm^2?
Answer:
[tex]4900 {mm}^{2} [/tex]
Step-by-step explanation:
[tex]1 cm = 10mm \\ 1cm \times 1cm = 10mm \times 10mm \\ 1 {cm}^{2} = 100 {mm}^{2} \\ 49 {cm}^{2} = 49 \times 100 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4900 {mm}^{2} [/tex]
Evaluate 5^−4. Write your answer as a fraction in simplest form.
Can you please help me on this?
Answer:
Step-by-step explanation:
5^-4 remember that a^-b=1/a^b
5^-4=1/5^4=1/625
Find x so that QS ‖ PT. PQ = 15, QR = 3, RS = 8, ST = x – 3
Answer:
x=12
Step-by-step explanation:
oPQ= 15 and ST= x-3 and segment PQ and segment ST are congrunt so 15-3=12 and that makes x 12
2/3 times what equals to 2/3÷16
Answer:
1/16
Step-by-step explanation:
2/3*x=2/3/16
x=1/16
why?
2/3*1/16 is just 2/3/16
Evaluate x−y if x=−5 1/4 and y=−6.8 . Write your answer in simplest form.
The answer i got is -1.55, im not sure though
The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression, x - y
x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75
y = -6.8
Substitute x and y into the above expression,
-4.75 - (-6.8) = 2.05
Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".
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what is w/5 - 5 > -8?
Answer:
w > -15
Step-by-step explanation:
(w/5-5>-8)5
w-25>-40
w>-40+25
w > -15
Answer:
w=−12
Step-by-step explanation:
If y=-8 when x=2, find y when x=3
I don't really know if the question is complete but...
y = x -10 can be a solution
so y would be -7 when x is 3
what is the slope of the line shown in the graph?
Answer:
2/1 or just 2
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
a train traveled 90 miles in 1 1/2 hours. How many miles will it travel in 6 hours going at the same rate.
Answer:
360 miles
Step-by-step explanation:
if 90 miles per hour and a half then
1 1/5 x 4= 6
90 x 4 = 360
PLEASE I NEED HELP ON THIS
Answer:
do 3.14 x 6
Step-by-step explanation:
Answer:
37.69911
Step-by-step explanation:
"the internet does not lie"-- home
i’ll give brainliest for this one question to be explained throughly.
brad made a graph showing how many students were absent from school every day last week.
use the graph to answer the questions.
4. Is the relation represented by the graph a function? Why or why not?
Answer:
The relation represented by the graph is not a function
Step-by-step explanation:
A function by definition is "a relation from a set of inputs to a set of outputs". For this graph there's no constant rate of change, you can't form a line with the points, and you can't write an equation or inequality from the points. There's no sort of relationship between the number of days and the number of students who are absent, so it's not a function.
Answer:
1. 1,7 2,10 3,5 4,7 5,9
2. 5
3. 2 10 Students were absent on day 2.
4.The graph is a function because each x-value is paired with a single y-value.
What's the a answer to this
Answer:
if you take 180-124 you would get 56 then you would take 56 divided by 2x which would give you 28
Step-by-step explanation:
Answer:
Step-by-step explanation:
4) ∠ELD + m∠ELG = 180 linear pair
5) 2x + 124 = 180 Substitution
6) 2x +124 -124 = 180 -124 Subtraction property
2x = 56
7) 2x/2 = 56/2 Division property
x = 28
what are the angles!
Answer:
Acute, Straight..... thats all i know
Step-by-step explanation:
can someone please help me with this i don’t understand:(
Answer:
domain = neg infinity, infinity
range = neg infinity, infinity
Step-by-step explanation:
domain is asking x values which the graph will pass through. since the line is continuous, it touches EVERY x value, same with range and y values.
Round to the nearest tenth
Answer: 35.7
Step-by-step explanation: 16.8/2 = 8.4
12.6/2 = 6.3
21.5 + 8.4 + 6.3 = 35.7
Which of the following polar equations is a circle with its center at the pole and a radius of 3?
θ = 3
r = 3
r = 9
3 r = θ
Answer:
7.3
Step-by-step explanation:
I think
What is the slope of the line
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49 customers is observed. Find the probability that the average time waiting in line for these customers is A) Less than 10 minutes B) Between 5 and 10 minutes C) Less than 6 minutes
Answer:
A) 1
B) 1
C) 0
Step-by-step explanation:
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49 customers is observed. Find the probability that the average time waiting in line for these customers is A) Less than 10 minutes B) Between 5 and 10 minutes C) Less than 6 minutes
We solve this question using the z score formula
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n = number of random samples
A) Less than 10 minutes
x < 10
z = 10 - 8.2/ 1.5 / √49
z = 8.4
P-value from Z-Table:
P(x<10) = 1
B) Between 5 and 10 minutes
For x = 5 minutes
z = 5 - 8.2/ 1.5 / √49
z = -14.93333
P-value from Z-Table:
P(x = 5) = 0
For x = 10 minutes
z = 10 - 8.2/ 1.5 / √49
z = 8.4
P-value from Z-Table:
P(x = 10) = 1
The probability that the average time waiting in line for these customers is between 5 and 10 minutes
P(x = 10) - P(x = 5)
= 1 - 0
= 1
C) Less than 6 minutes
x < 6
z = 6 - 8.2/ 1.5 / √49
z = -10.26667
P-value from Z-Table:
P(x<6) = 0
Find the values of the numbers below. Type the answers in the boxes below.
∣∣1114∣∣ =
Answer:
-1114
Step-by-step explanation:
the lines are absolute value of the number on the inside
so the first 2 lines would equal 1114
but since there are 2 more lines its the opposite of 1114 which is -1114.
Hope this helps
Have a amazing day!
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The following data points represent the volume of gas in each race car driver's tank (in liters).
4, 5, 13, ?
If the mean of the data set is 7 L. find the missing volume of gas.
L
Show Calculator
Stuck? Watch a video or use a hint.
Report roben
Answer:
The missing value is 6!
Step-by-Step Explanation:
First, we know that there are 4 values in total, so we must multiply the mean, 7, by 4 to get the total sum of all the values. (7*4=28)
Now, we can write this as a function, where we can represent the missing value as 'x'.
[tex]4+5+13+x=28[/tex]
In order to get the missing value, we must solve the equation.
Step 1: Simplify.
[tex]4+5+13+x=28\\22+x=28[/tex]
Step 2: Subtract 22 from both sides.
[tex]22+x=28\\22+x-22=28-22\\x=6[/tex]
x is equal to 6, which means the missing volume of gas is 6!
PLEASE HELP!!!!!!!!!!ASAP
1. A 2.5 pound bag of apples cost $2.99. Calculate the unit rate showing pounds of apples per dollar and the unit rate showing dollars per pound of apples.
2.An 8 pound bag of oranges costs $4.95. Calculate the unit rate showing pounds of oranges per dollars and the unit rate showing dollars per pound of oranges.
3. A box of 40 envelopes costs $2.50. Calculate the unit rate showing number of envelopes per dollar and the unit rate showing dollars per envelope.
Answer:
um can u put up the question plz so i can answer your question