Answer:
The discounted price is $21
Use the difference of squares identity to write this polynomial expression in factored form:
9x2 − 49.
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer: 107 students
Step-by-step explanation: 115 minus 8 is 107
Answer:
132
Step-by-step explanation:
becca have 115-8= 107 so 107+25= 132
The equation a=180(n-2)/n represents the angle measures, a, ina regular n- sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a-180. What is the numerator of the fraction?
Answer:
-360
Step-by-step explanation:
Given:
[tex] a = \frac{180(n - 2)}{n} [/tex]
Solve for n. Multiply both sides by n
[tex] a*n = \frac{180(n - 2)}{n}*n [/tex]
[tex] an = 180(n - 2) [/tex]
Apply the distributive property
[tex] an = 180n - 360 [/tex]
Subtract 180n from both sides
[tex] an - 180n = - 360 [/tex]
Factor out n
[tex] n(a - 180) = - 360 [/tex]
Divide both sides by (a - 180)
[tex] n = \frac{-360}{a - 180} [/tex]
Therefore, the numerator of the fraction that n is equal to is -360
A circular piece of wood with a diameter of 5 ft is shown below. A 2 ft square is
cut out of the middle of the piece of wood.
2 ft
What is the approximate remaining area of the wood?
O A. 21 ft2
O B. 16 ft2
O C. 18 ft2
OD 28 ft2
Answer:
16 ft²
Step-by-step explanation:
Since we're told that 2 ft diameter was cut of the board. We use the formula for hollow circle to find the area.
Area of remaining body = area of full body - area of removed body.
Area = πd²/4
Area of remaining body = (π * 5²)/4 - (π * 2²)/4
Area of remaining body = 19.64 - 3.142
Area of remaining body = 16.49 ft²
Therefore, the remaining area is then calculated into 16 ft²
Hello- GIve me a random math question Plz
2(3x-4)=(x+37)
I don't know how to do
Answer:
Step-by-step explanation:
Wow
(-9n+9+6n4)-6n-7n4) simplified?
Francine rolls two 6-sided number cubes. What is the probability that she rolls
a sum equal to 6? Use the diagram of the sample space to help you.
Answer:
Option D
Step-by-step explanation:
Probability of an event = [tex]\frac{\text{Favorable outcome}}{\text{Total number of outcomes}}[/tex]
Favorable outcome = sum of numbers is 6 on rolling two cubes
= (5 + 1), (4 + 2), (3 + 3), (2 + 4), (1 + 5)
Therefore, number of rolls that she gets a sum of 6 = 5
Total number of outcomes = 6 × 6 = 36
Therefore, probability that she rolls a sum equal to 6 = [tex]\frac{5}{36}[/tex]
Therefore, Option D will be the answer.
Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of those attempts they made. Henry made 0.45 of his shots. Allison made 4/15 of her shots. Arthur made 8/20 of his shots. Trevor missed 58% of his shots. Which friend had the best record for the number of shots made?
Answer:
Henry has a best record for the number of shots made.
Step-by-step explanation:
It is provided that Henry made 0.45 or 45% of his shots.
And Trevor missed 58% of his shots, i.e. Trevor made 42% of his shots.
There is no information about Allison's and Arthur's probability of making the shot.
So, only based upon Henry and Trevor, it can be seen clearly that Henry has a best record for the number of shots made.
Step-by-step explanation:
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URA - Add/sub/monomials Practice
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8/17
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Set background
Clear frame
Rectangle ABCD has a length represented by the expression 2x - 3, and a width
represented by the expression 4x + 5. Rectangle PQRS has a length represented by
the expression x - 1, and a width represented by the expression 3x + 2. Which are used to represent the difference in the perimeters of
Rectangle ABCD and Rectangle PQRS
Answer:
Perimeter of ABCD - Perimeter of PQRS = 4x + 2
Step-by-step explanation:
i. For rectangle ABCD;
length, l = 2x -3
width, w = 4x + 5
Perimeter of a rectangle = 2(l + w)
Perimeter of ABCD = 2((2x -3) + (4x + 5))
= 2(2x -3 + 4x + 5)
= 2(6x + 2)
Perimeter of ABCD = 12x + 4
ii. For rectangle PQRS;
length, l = x - 1
width, w = 3x + 2
Perimeter of a rectangle = 2(l + w)
Perimeter of PQRS = 2((x - 1) + (3x + 2))
= 2(x - 1 + 3x + 2)
= 2(4x + 1)
Perimeter of PQRS = 8x + 2
So that,
Perimeter of ABCD - Perimeter of PQRS = (12x + 4) - (8x + 2)
= 12x + 4 - 8x - 2
= 4x + 2
Perimeter of ABCD - Perimeter of PQRS = 4x + 2
The high temperatures for Monday and Tuesday are graphed on the number line below. The
high temperature on Wednesday is the least of the three days. Which inequality correctly
compares Wednesday's high temperature, w, with the temperatures graphed on the number
line?
-2
2
-1
0
1
High Temperatures (°C)
-0.5°C
w < -1.5 C
w > 0.5°C
-1.5 0
I need help
1. Simplify the expression (n3)6
Angela hiked 4 miles one day and 216 miles the next day. How many total miles did Angela hike?
Answer:
220
Step-by-step explanation:
216+4
The next day+ the first day=220
How Do You get: 5(5x + 2x /5 x 8)<78
Answer:
x < 1.39285714286
Step-by-step explanation:
5(5x+2x/5x8)<78
x5 x5
5(5x+2x(8))<390
/8 /8
5(5x+2x)<48.75
5(7x)<48.75
/5 /5
7x < 9.75
/7 /7
x < 1.39285714286
PLEASE HELP!!!
In a computer catalog, the diagonal distance of a computer monitor screen is labeled as 21 inches. If the screen measures 14 inches in height, what is the width of the screen?
A. 345 in.
B. 261 in.
C. 245 in.
D. 10 in.
Answer:
C
Step-by-step explanation:
The width of the screen is approximately 15.65 or √(245) inches. The correct answer would be an option (C).
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
The height of the screen (AB) is 14 inches, and the diagonal distance (AC) is 21 inches.
AB² + BC² = AC²
We can use these values to solve for the width of the screen (x):
x² = 21² - 14²
x² = 441 - 196
x² = 245
To solve for x, we can take the square root of both sides of the equation:
x = √(245)
x ≈ 15.65
Thus, the width of the screen is about 15.65 or √(245) inches.
Learn more about Pythagoras's theorem here:
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Can somebody help me out for brainliest please ?
Answer:
✔️(20, 16)
✔️(15, 12) = 15 pounds of beans cost $12
Step-by-step explanation:
✔️20 pounds of beans is represented by the ordered pair, (20, 16). On the graph, when beans (x) = 20 pounds, cost (y) = $16.
✔️Also, the ordered pair (15, 12) means that 15 pounds of beans cost $12. From the graph, when beans (x) = 15 pounds, cost (y) = $12.
What single decimal multiplier would you use to increase by 7% followed by a 4% decrease?
Answer:
To increase an amount by 7%, you would want to use 1.07 as the multiplier. To decrease it, you would use 0.93
Step-by-step explanation:
50 envelopes for $2.49 or 90 envelopes for $5.507
Answer:
90
Step-by-step explanation:
PLEASE HELP!!! 20 POINTS! I WILL MARK BRAINLIEST ALSO IF CORRECT!!
Answer:
esgnjmmt424
Step-by-step explanation:
Brandy made $58,474 this past year. She spent half of it on her bills and spent $15,545 on a new car. After all of Brandy’s expenses, how much does she have left?
25 = 2c - 8.000000000000000000000
Answer:
c=33/2
Step-by-step explanation:
25+8=2c
33=2c
33/2=c
I SUCK AT MTH PLS HELP 20 POINTS!!!
I'm stuck on the one with graphs...
i giveee brainlilsdtttt
22
Select the correct answer.
Which rational number is positive?
Ο Α. .
O
B.
C.
TI SI VA IT 13
OE.
Reset
Next
Answer:
[tex](c)\ \frac{6}{5}[/tex]
Step-by-step explanation:
The question is incomplete as it has missing options.
See attachment for complete question and options..
From the attachment, we have:
[tex](a)\ \frac{-7}{9}[/tex]
[tex](b)\ \frac{-8}{2}[/tex]
[tex](c)\ \frac{6}{5}[/tex]
[tex](d)\ \frac{3}{-2}[/tex]
All but 6/5 are negative numbers.
This is so because:
[tex](a)\ \frac{-7}{9}[/tex] has a negative sign at the numerator
[tex](b)\ \frac{-8}{2}[/tex] has a negative sign at the numerator
[tex](d)\ \frac{3}{-2}[/tex] has a negative sign at the denominator
Only [tex](c)\ \frac{6}{5}[/tex] has positive integers at the numerator and denominator.
Jermaine did this work to solve an equation. Did he make an error?
4x+6-r= 2x + 3
5x + 6 = 2x + 3
Answer:
First, I go by finding x and r.
After that, put the numbers (ie. x= # and r=#) into the equations. Check it by finding L.H.S and R.H.S. (ie. left hand side and right hand side)
If you are still confused, comment down and I'll try to provide better explanation!
Michelle is working on a design for a new building. She has built a model of the building according to the client's specifications.
The height of the model is 15 inches, the slant height of the model is approximately 17 inches, and the base has a length of
14 inches and a width of 20 inches.
w
Note: picture not drawn to scale.
Michelle must order appropriate equipment to heat and cool the building, so she must use the model to determine how much
space there will be inside. What is the volume of her model? (Round to the nearest hundredth, if necessary.)
OA
5,600 cubic inches
OB
1,400 cubic inches
OC. 280 cubic inches
OD
980 cubic inches
Answer:
Step-by-step explanation:
980
5x^2 - 6x - 28 = 0
please help me do this
Answer:
x= 3 5 + 1 5 √149 or x= 3 5 + −1 5 √149
Which graph best represents a decreasing function?
Answer:
It is C
Step-by-step explanation:
Just Finished the test and that's the answer
can someone help me on this please for brainliest?
One thermos of hot chocolate uses 2/3 cup of cocoa powder. How many thermoses can Nelli make with 3 cups of cocoa powder?
Answer:
4 thermoses of hot chocolate
The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
One thermos of hot chocolate uses 2/3 cup of cocoa powder.
Then the number of thermoses that Nelli makes with 3 cups of cocoa powder will be given by the multiplication of 2/3 and 3.
⇒ (2/3) x 3
⇒ 2
The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.
More about the Algebra link is given below.
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