The perimeter of the rectangle below is 94 units. Find the length of side PS.
Write your answer without variables.
Answers
Answer:
PS = 26 units
Step-by-step explanation:
Perimeter of rectangle = 94
2(4z - 2 + 3z) = 94
2(7z - 2) = 94
14z - 4 = 94
14z = 94 + 4
14z = 98
z = 98/14
z = 7
QR = 4z - 2 = 4*7 - 2 = 28 - 2 = 26
PS = QR (Opposite sides of rectangle)
PS = 26 units
Related Questions
28) Solve the formula for g
Answers
Answer:
S=1/2gt2
you cross multiple
2s/t2 =gt2/t2
divide both sides by t2
to get
g=2s/t2
which is C
An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many people per 100 spelled each word correctly. a. Estimate the number of people per 100 who spelled weird correctly. Round to the nearest 5. b. In a group consisting of 8724 randomly selected people, estimate how many more people can correctly spell weird than inoculate.
Answers
Answer:
a). 85 people
b). 4362 people
Step-by-step explanation:
The given bar graph shows how many people per 100 spelled each word correctly.
a. From the graph given extreme end of the bar for the word "weird" is between 80 - 90.
Therefore, approximate number of the persons who spelled weird correctly will be 85 (rounded to the nearest 5).
b. The number of people who can correctly spelled word "weird" = 85
The number of people who can correctly spelled word "inoculate" = 35
In 100 people, number of people who can correctly spell "weird" more than "inoculate"
= 85 - 35
= 50
in a group of 8724 randomly selected people, number of people who can spell the word "weird" correctly more than "inoculate"
= [tex]\frac{50}{100}\times 8724[/tex]
= 4362 people
Random selection means each individual has equal chance of being selected.
Given graph has the following information:
Total number of people under survey=100
a. To estimate the number of people per 100 who spelled weird correctly
From the graph it is around 84 and rounding it to nearest 5 will results in 85.
b. From the graph,
Number of people can correctly spell inoculate= 35
Number of people can correctly spell weird than inoculate=85-35
=50 out of 100
Using unitary method as follows:
100-------->50
1------------>1/2
8724------>1/2x8724
=4362
Thus, out of 8724 randomly selected people, 4362 people can correctly spell weird than inoculate.
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Levi prepares 3 kilograms of dough every hour he works at the bakery. How many hours did Levi work if he prepared 27 kilograms of dough?
Answers
Answer:
1 hour = 3 kg
27 ÷ 3 = 9 hours
hope this helps.
8 A television show uses 15 minutes of every hour for commercials, leaving
the remaining 45 minutes for the actual show. Which ratio below represents
the commercial minutes to the show minutes?
A1: 4
B 4:1
C1:3
D3:1
Answers
15:45 can be simplified by dividing by 15 to give you a ratio of 1minute if commercials for every 3 minutes of the actual show
Paige can run one lap around a track in 3 1/5 minutes. How long would it take her to run 6 1/2 laps?
Answers
20 minutes 48seconds
Question 1
Elena, Lin, and Noah all found the area of Triangle Q to be 14 square units but
reasoned about it differently, as shown in the diagrams. Explain at least one student's
way of thinking and why his or her answer is correct.
Q
Lin
Elena
Q
Noah
Answers
Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.
The reason is while computing the area is found to be 14 square units.
What is area of triangle?The area of Triangle = 1/2* base * height
given:
assumed area to be 14 square units
We will take the case of Elena
In figure the base = 7 units
height = 4 units
Area of triangle
=1/2*base*height
=1/2 * 7 * 4
=7*2
=14 square units
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find the total pay for the week $12.50 per hour time and a half for sunday hours worked day must be rounded to the nearest quarter hour.
Answers
Answer:
$392.19
Step-by-step explanation:
I find it less tedious to write equations in a spreadsheet than to do the arithmetic by hand.
Morning time and afternoon time are found by subtracting the start time from the end time. Then the time for the day is found by adding the morning and afternoon shift hours.
Rounding to the nearest quarter hour can be done a couple of ways. In a spreadsheet, you multiply hours by 4, round to an integer, then divide that integer by 4 to get the rounded hours. (In a spreadsheet, hours are 1/24 of a day. When the hours:minutes are converted to decimal, you get a number of days. To make hours again, you need to multiply that by 24.)
Of course, hours are multiplied by $12.50 to get pay for all days but Sunday. For Sunday, that product is again multiplied by 1.5 for "time and a half."
The total pay is $392.19.
If f(x) = 4x - 7 and g(x) = 3x + 9 find (f+g) (5)
Answers
Answer: (f+g)(5)=37
Step-by-step explanation:
(f+g) (5) is the same as saying f(5)+g(5). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(5) and g(5), and then add them together. Another way is to do (f+g)(x), then plug in x=5. I will show both methods.
Method 1
f(5)=4(5)-7 [multiply]
f(5)=20-7 [subtract]
f(5)=13
g(5)=3(5)+9 [multiply]
g(5)=15+9 [add]
g(5)=24
(f+g)(5)=13+24 [add f(5) and g(5)]
(f+g)(5)=37
--------------------------------------------------------------------------------------------------------
Method 2
(f+g)(x)=4x-7+3x+9 [combine like terms]
(f+g)(x)=7x+2
(f+g)(5)=7(5)+2 [plug in x=5]
(f+g)(5)=35+2 [add]
(f+g)(5)=37
--------------------------------------------------------------------------------------------------------
Now, we know that (f+g)(5)=37. We confirmed this with both methods.
To simplify an expression means to ensure there are no parentheses and no like
terms.
True
Or
False
Answers
Answer:
True, there you go! hope it helps! Please vote Brainliest!
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
To simplify an expression means to ensure there are no parentheses and no like terms.
PLEASE HELP!!!!!!!
What is the absolute value of |-1||?
Use this number line to determine the absolute value.
t
-2
0
wint
win
1
3
-3
WIN+
2
3
Answers
Answer:
The answer is 1 ⅓
Step-by-step explanation:
Anything in an absolute value whether negative or positive will always end up being a positive
7. A BOOKSTORE WAS SELLING BOOKS FOR 50% OFF. A SHELF IN THE STORE HAD A SIGN AS SHOWN:
"BOOKS ON THIS SHELF TAKE AN ADDITIONAL 25% OFF"
LETA PICKED OUT BOOKS FROM THE DISCOUNT SHELF THAT HAD A REGULAR PRICE OF $100. HOW MUCH
DID LETA PAY FOR THE DISCOUNTED BOOKS?
Answers
Answer:
Leta payed $37.50
Step-by-step explanation:
50% is another way of saying half. So half of 100 is 50. She is down to $50.00 If you take another 25% off then it is $37.50. This is because 25% of 50 is 12.50. If you subtract 12.5 from 50 then you get 37.50. This is how I know it is $37.50. Hope this helps! :)
Find the quotient: –10/19÷(−5/7)
Answers
Answer:
14/19
Step-by-step explanation:
Note that there are two " - " signs here. Thus, the end result will be " + "
We move from left to right, obtaining first 10/19 divided by (5/7):
10
----- ÷ (5/7)
19
To divide by (5/7), invert (5/7) and then multiply. We get:
10 7 2(7)
----- * ----- = ------- = 14/19
19 5 19
PLEASE HELP !
The equation 8(u+3)=-16 is solved in several steps below. For each step , choose the reason that best justifies it
Answers
Answer:
Division property of equality
Step-by-step explanation:
Answer:
I hope this picture helps tho!!
Questions in the picture. Pls help!!!!!
Answers
B=3
C=5
D=3
hope that helps (:
Answer:
A = 5
B = 3
C = 5
D = 3
Step-by-step explanation:
A - B = 2
• 5 - 3 = 2
A + C = 8
• 5 + 3 = 8
A + C = 10
• 5 + 5 = 10
B + D = 8
• 5 + 3 = 8
Kendall scored 3 times as many points as Abdul scored in a basketball game. Otis scored 5 more points than Abdul scored. The three players scored 45 points all together. How many points did each player score?
Answers
Answer:
Kendall: 24
Abdul: 8
Otis: 13
explanation:
24 is 3x more than 8 and 13 is 5 greater than 8
Answer: Kendall: 24 points; Abdul: 8 points; Otis: 13 points
Step-by-step explanation:
K= 3A
O= A = 5
O + A + K = 45
What’s the perimeter of a rectangle 47ft 57ft
Answers
Answer:
The perimeter is (47x2)+(57x2). So the answer is 208ft
Step-by-step explanation:
i’m bad at math. this is right?
Answers
Answer: B
Step-by-step explanation:
The converse means X --> Y , so Y --> X.
In other terms, you just need to reverse the terms and review that it turns out correct. In answer B, it does that just right.
Answer:
It should be the second one.
Step-by-step explanation:
Converse is just switching the hypothesis and conclusion, or the "if... then..." portion of the conditional.
I will mark as BRANLIEST!!!
How would you begin to answer this question- solve for x if, 2x + 3x = 10. what’s the answer? Plz help me! I’m desperate
Answers
Answer:
You would begin to start this equation by combining like terms.
Step-by-step explanation:
To start you would first combine 2x + 3x and you get 5x. From there you would solve 5x=10. Now you would divide by 5 on both sides to get x=2.
Suppose that you take 300 mg of an antibiotic every 6 hr. The half-life of the drug is 6 hr (the time it takes for half of the drug to be eliminated from your blood). Use infinite series to find the long-term (steady state) amount of antibiotic in your blood exactly.
Answers
Answer:
1200000
Step-by-step explanation:
Esun as ma
1. IV+61-6=6
Solving absolute value?
Answers
Answer:
[tex]\frac{ -49i − 49v }{iv}[/tex]
Step-by-step explanation:
v= −49
i= −49
WILL GIVE BRAINLIEST WORTH THIRTY POINTS! Find a so that CD will have the given slope: a) C(5,−2), D(−4,a); m=0 b) C(a,–1), D(–3,2); m=undefined c) C(–3,–2), D(1,a); m=2
Answers
The value of a for the equation of line CD are;
a) a = -2b) a = -3c) a = 6Given the following data:
a) C(5, -2), D(-4, a); m = 0
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]5, -4[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 0To find the value of a;
Mathematically, the slope (m) of an equation of line is given by the formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the values into the formula, we have;
[tex]0 = \frac{a - [-2]}{-4 - 5}\\\\0 = \frac{a\; + \;2}{-9}[/tex]
Cross-multiplying, we have;
[tex]-9[/tex] × [tex]0[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 0[/tex]
a = -2
b) C(a, -1), D(-3, 2); m = undefined
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]a, -3[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-1, 2[/tex]Slope, m = undefinedTo find the value of a;
Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).
Substituting the given values into the slope formula, we have;
Undefined [tex]= \frac{2 - [-1]}{-3 - a}[/tex]
Undefined [tex]= \frac{2 + 1}{-3 - a}[/tex]
Next, we would equate the denominator to zero (0);
[tex]-3 - a = 0[/tex]
a = -3
c) C(-3, -2), D(1, a); m = 2
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]-3, 1[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 2Substituting the values into the formula, we have;
[tex]2 = \frac{a - [-2]}{1 - [-3]}\\\\2 = \frac{a\; + \;2}{1 \;+ \;3}\\\\2 = \frac{a\; + \;2}{4}[/tex]
Cross-multiplying, we have;
[tex]4[/tex] × [tex]2[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 8[/tex]
[tex]a = 8 -2[/tex]
a = 6
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Today, you worked from 7am to 4pm. The state you live in requires that you take a 30-minute break during any shift longer than 6 hours. This break does not count towards your hours. How many hours did you work today? Remember, 30 minutes is equal to .5 hours.
Answers
Answer:smbhaISHBIA
Step-by-step explanation:
ahbkjbajbsx
Negative 6 equal 2/9 x
Answers
Step-by-step explanation:
-6 = 2/9 x
2/9x = -6
x = (-6)×9/2
= -27
Paul has 16 fish pictures and 12 deer pictures. He wants to arrange the pictures in rows with the same numbers of fish and of deer pictures in each row. What are the possible numbers of rows
Answers
Answer:
4 rows
Step-by-step explanation:
GCF of 12 and 16 is4
twelve thousand four hundred three in standard form
Answers
Answer:
12,403
Step-by-step explanation:
twelve thousand = 12,000
four hundred = 400
three = 3
Add them all up.
Your answer is 12,403.
Hope this helps!
Answer: 12,403
twelve thousand = 12,000
four hundred = 400
three = 3
The answer is 12,403. Hope this helps!
Y=BD-5, for B. solve for B
Answers
Answer:
Step-by-step explanation:
BD - 5 = Y
BD = Y + 5
B = (Y + 5)/D
5+y=BD
B=D(y+5)
A physical therapy facility is building a new pool that is 60 feet long and 7 feet deep. They have ordered enough tile for a
140-foot-long border around the edge. How wide should the pool be to ensure that all tiles are used?
Answers
Answer:
The Pool should be 10 feet wider
Step-by-step explanation:
The rectangngle shaped pool will have 4 sides...
If the Pool is 60 feet long then 120 feet should be covered by Tiles.
so only Tiles of 20 feet are left...
Hence the border will be 10 on one side and 10 on the other side
The Pool should be 10 feet wider
The calculation is as follows:
The rectangle-shaped pool will have 4 sides
In the case when the Pool is 60 feet long then 120 feet should be covered by Tiles.
Thus, only Tiles of 20 feet are left...
Therefore,
Hence the border will be 10 on one side and 10 on the other side
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At the PNE. On Friday night 2,950 people attended the monster truck show. On Saturday night, 3,159 people attended. In the stadium seats 4,000 people, how many empty seats were there for the two nights?
Please show how u get the answer!
Help fast
Answers
Answer:
1891 empty seats.
Step-by-step explanation:
for night 1: 4000- 3159= 841.
for night 2: 4000- 2950= 1050.
1050+841= 1891.
there were 1891 empty seats for the two nights.
Dimensional Analysis How many seconds old are you if your 16 yrs old? show work
Answers
Answer:
504,576,000
Step-by-step explanation:
16 years x 365 days x 24 hours x 60 minutes x 60 seconds = 504576000
Over the last 3 months, you deposited $600 each month into your business checking account. During that time, you
withdrew $1,208.23 to make purchases. What is the net change in your account balance?
O -$3.008.23
O $608.23
$591.77
O $1,808.23
$3.008.23
Intro
Done
Answers
Answer:
591.77
Step-by-step explanation:
we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77