The perimeter of PRST is 10 more than 5(RS). If PR=26, find RS.
Answer:
RS = 14
Step-by-step explanation:
Perimeter = 26 + 26 + PT + RS
We know that PT and RS are equal to each other so I changed the equation to 26 + 26 + x + x = 10 + 5x and then I got x by itself and the integer on one side 42 = 3x, so 14 = x
The value of RS will be 14 for the given parallelogram.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.
Given the parallelogram where TS ║ PR and both are equal
Line TP ║ SR so it means TP = SR
Let's say
TP = SR = x
Now,
The perimeter of a parallelogram is 10 more than 5(RS)
So,
PT + TS + SR + RP = 5(RS) + 10
Now since TP = RS = x
So,
x + TS + x + RP = 5x + 10
5x - 2x = TS + RP - 10
x = (TS + RP - 10)/3
Now,
TS = RP = 26
So,
x = (26 + 26 - 10 )/3
x = 42/3
x = 14
Hence "The value of RS will be 14 for the given parallelogram".
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If you invest $25.00 at 6% interest compounded monthly,
how much will you have after 1 year?
4x + 8 = 36 linear equations
Answer:
7
Step-by-step explanation:
4x=36-8
4x=28
x=7
Laurie earns $7.50 per hour at the fruit stand plus an extra $2.00 per hour on Sundays. One week in August, she worked on Sunday, Monday, and Wednesday. She worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, how many hours did Laurie work on Monday? Enter and solve an equation.
Answer:
Hi there!
Your answer is:
She worked for 3 Hours on Monday.
Step-by-step explanation:
7.5$ per hour
7.5+2$ per hour on Sundays.
In August:
Sunday, Monday, Wednesday.
# of hours for Monday =Wednesday
Sunday= 4 hrs (which would mean 9.5$ * 4)
Monday and Wednesday will be modeled by X
X + 38$ (earned sunday)= 83$
-38
X= 45$
Since X represents BOTH monday and wednesday, divide by 2
45/2 = 22.5$
CHECK YOUR WORK
22.5$ (monday) + 22.5$ (wednesday) + 38$ (sunday)= 83???
45=38=83???
83=83 YES
Now, to determine how many hours that is, we divide the earned wages by the wage per hour.
22.5 / 7.5 = 3 HOURS
CHECK YOUR WORK
3 hours * 7.5 per hour = 22.5???
22.5 = 22.5 YES
Hope this helps
If she worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, the number of hours that Laurie work on Monday will be: 3 hours
$7.5= 1 hour Other days
$9.50 or ($7.50+$2.00) = 1 hour Sunday
Let Sunday= 4×$9.50 =$38
Let Monday= x × $7.5=$7.5x
Let Wednesday= x × $7.5=$7.5x
Let Total earning=$83
Let x represent the number of hours
Hence:
First step is to formulate
7.5x+7.5x+38=83
Second step is to calculate how many hours did Laurie work on Monday
x =83-38÷ 7.5+7.5
x=83-38÷15
x=45÷15
x=3 hours
Inconclusion If she worked the same number of hours on Monday and on Wednesday. On Sunday she worked 4 hours. If she earned a total of $83.00 for the week, the number of hours that Laurie work on Monday will be: 3 hours
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In solving the equation, 2x + 5 = 33, the following steps and reasons are given.
Steps
Reasons
1. 2x + 5 = 33
1. Given
2. (2x+5)-5-33-5
2. Subtraction property of equality
3. 2x +(5-5) -33-5
3. ?
4. 2x + 0 = 28
4. Additive inverse property
5. 2x - 28
5. Identity property of addition
2x 28
6.
6. Division property of equality
2 2
7. x=14
7. Substitution
+
Which of the following applied properties correctly justifies step #3?
O Associative Property of Addition
O Commutative Property of Addition
10
O Subtraction Property of Equality
Additive Inverse Property
Answer:
i think it is Associative Property of Addition
Step-by-step explanation:
Your cousin plays point guard for her community basketball team. When she plays in a game, four out of every seven baskets she scores for her team are lay-ups.
If, during a month of playing in basketball games, your cousin makes twenty four lay-ups, how many total baskets did she score for her team?
Answer:
12
Step-by-step explanation:
count to 69 and you got 12 lay ups
Answer:
12
Step-by-step explanation:
Choose an equation that would be used to solve
0 = -x2 + 10X-8
(x + 25)2 = -8
O(x - 5)2 = 17
(x - 10)2 = 25
Answer:
(x - 5)² = 17
Step-by-step explanation:
Given
0 = - x² + 10x - 8 ( multiply through by - 1 to clear the leading negative )
x² - 10x + 8 = 0 ( subtract 8 from both sides )
x² - 10x = - 8
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 8 + 25
(x - 5)² = 17
The temperature was –30 C last night. It is now -40 C. What was the
change in temperature?
Answer:
-10 C
Step-by-step explanation:
It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.
Answer:
temperature decreased
more
Which of the following r-values represents the strongest correlation?
O A. -0.51
B. -0.61
C. -0.41
D. -0.71
Answer:
Step-by-step explanation:
-0.71
The r - value -0.71 represents the strongest correlation which is negative correlation.
What is the correlation coefficient?The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The options has the r - values, we need to check which option represents the strong correlation.
Now., The relationship between two variables is generally considered strong when their r value is larger than 0.7.
A correlation of r = -0.71 suggests a strong, negative association between two variables.
A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.
Hence, we can conclude that the r - value option (D) -0.71 represents the strongest correlation which is negative correlation.
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If g(x)=−3x^2+2x−7, Find g(4)
Answer:
-143
Step-by-step explanation:
We have to substitute 4 into x.
g(4) = -3(4)^2 + 2(4) - 7
g(4) = -12^2 + 8 - 7
g(4) = -12^2 + 1
-144 + 1
-143
-47
Step-by-step explanation:
= -3(4)^2 +2(4) -7
= (-3×16) +8 - 7
= -48+8-7
= -40-7
= -47
Can someone please help me with this problem
Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
simplify 4y - 8y2 + 9y - 7y2.
Answer:
D is the answer
Step-by-step explanation:
4y - 8y² + 9y - 7y² ( collect like terms)
13y - 15y²
Hope this helped!!!
Answer:
-15y^2+13y, option d
Step-by-step explanation:
Technically the term with the highest exponential value should be in the front, so that's why I wrote it like that... but d is correct
Find the value of (4/25)^-1/2
The value of the given exponent is [tex]\frac{5}{2}[/tex]
Given:
The exponent = [tex](\frac{4}{25})^{\frac{-1}{2}}[/tex]
To find:
The value of a given exponent
Solution:
[tex](\frac{4}{25})^{\frac{-1}{2}} = ?[/tex]
Using the identity of an exponent : [tex](\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}[/tex]
[tex](\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\[/tex]
Using the identity of an exponent : [tex]a^{-x} = \frac{1}{a^x}[/tex]
[tex]=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\[/tex]
Using the identity of an exponent: [tex](a^{n})^m=a^{m\times n}[/tex]
[tex]=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}[/tex]
The value of the given exponent is [tex]\frac{5}{2}[/tex].
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Austin shops at Surfer Joe's Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and 5 towels.
If he gives the cashier $80.00, how much change will Austin get back?
Answer:
$2.86 is what he got back
Identify the like terms in this expression: 4x^2 + 2x - 6x + 3y
Answer:
the like terms here are the x and the + symbol.
Step-by-step explanation:
If a part of the equation appears more than once that is a like term.
32+8x
Simplify the following expression using the distributive property:
4.
(a) 28 + 4x
(c) 8 + 2x
I
(b) 36 + 12x
(d) 10x
Would it be answer b? :(
the difference between the highest and lowest observation is known as
Answer:
I believe the difference between the highest and lowest observation is known as range.
Answer:
Step-by-step explanation:
The difference between the highest and lowest observation is known as Range
Will mark brainliest
Answer:
B or 32 m/s is the correct answer have a nice day! :)
Answer:
That baseball is thicc.
Justin is buying a cell phone that had a wholesale price of
$495. The cell phone was marked up 25%.
What is the selling price of the cell phone?
Answer:
$371.25
Step-by-step explanation:
If you want to take away 25%, you would need to find out how much 75% of the current price is. IF you think about it, 75% of the $495 is 25% of 100% of it taken away.
So
0.75 x 495 = 371.25
9. the water temperature at the beach
Answer:
79 degrees
Step-by-step explanation:
No Explanation
The James County Fair costs $11.00 to get in and $1.50 per ride, while the Moore County Fair costs $5.00
to get in and $3.00 per ride. Which equation could be used to determine how many rides you would need
to go on for both fairs to be of equal value?
Answer:
lvkykcjfcj
Step-by-step explanation:
What’s -24+16 divided by -4
Answer:
2
Step-by-step explanation:
-24 + 16 = -8
-8/-4 = 2
REMEMBER a - and a - = a +
or a negative and a negative equals a positive
what does democracy mean and how do we practice it in the United States of America PLEASE HELPPP!!!!
Answer:
a system of government by the whole population or all the eligible members of a state, typically through elected representatives. The United States is one of the world's developed democracies where third parties have the least political influence. The federal entity created by the U.S. Constitution is the dominant feature of the American governmental system.
Step-by-step explanation:
what is -8(4k+2)=112
Answer:K= -4
Step-by-step explanation:
Ccffdndmsbsmsvsnsbsdndn
Answer:
what is this tell me it is for asking ansee
A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
Please I need this ASAP 15 points
Answer:
The two bowling alleys cost the same when there are 10 people in the group.
Step-by-step explanation:
Bustlin' Bowling first:
$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.
Grand Entertainment next:
$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.
So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.
In variables, it's asking when b = g, what is x?
Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.
I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:
35 + 2x = 20 + 3.5x
Subtract 2x from both sides.
35 = 20 + 3.5x - 2x
35 = 20 + 1.5x
Subtract 20 from both sides.
35 - 20 = 1.5x
15 = 1.5x
Divide both sides by 1.5.
15/1.5 = 1.5x/1.5
10 = x
Sooo, the answer is 10 people.
Please mark as Brainliest! :)
Needs to be done today plz help!!
What is the missing table value?
4 inches to centimeters
Answer:
the answer is 10.16 Hope This Helps!!!
Step-by-step explanation:
because 7.62+2.54= 10.16
Answer:
10.16
Step-by-step explanation:
Fifty-seven and 100 dollars as a numeral is which of the figures below?
a. $56.70
c. $34.50
b. $53.40
d. $57.50
Answer:
56.70
Step-by-step explanation: