Answer:
A) 14x + 2
Step-by-step explanation:
(2x + 2x) + (5x + 5x) + (1 + 1)
= 4x + 10x + 2
= 14x + 2
You can only add 4x and 10x since they both have a variable (x). You cannot add 2 since 2 doesn't have a variable, so the answer in simplest form is 14x + 2
65/100 as a dollar amount
Answer:
The answer is $0.65, or 65 cents.
Answer:
$.65
Step-by-step explanation:
so 65 cents
How do I write a phrase in words as an algebraic expression for 8/d?
Answer:
The quotient of 8 and d.
Step-by-step explanation:
I hope this helps you have a wonderful day! :D
At her most recent race, Sue finished in 272 minutes. That is 15% less time than the previous race. What was her time in the previous race?
Answer:
320 minutes was her time on the previous race
Step-by-step explanation:
Let the time spent on the previous race be x minutes.
Given that at her most recent race, Sue finished in 272 minutes which is 15% less time than the previous race then
x - 15% * x = 272
x - 0.15x = 272
0.85x = 272
x = 272/0.85
x = 320 minutes
Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5
Answer:
3(x - 2)² - 17
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square.
Given
3x² - 12x - 5 ← factor out 3 from the first 2 terms
= 3(x² - 4x) - 5
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 4x
= 3(x² + 2(- 2)x + 4 - 4 ) - 5
= 3(x - 2)² - 12 - 5
= 3(x - 2)² - 17 ← in vertex form
Please help I really need it
Answer:
X = -2, Y = 13
X = 0, Y = 9
X = 2, Y = 5
X = 4, Y = 1
Step-by-step explanation:
Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:
y = -2(-4) + 9
Simplify it:
y = 8 + 9
y = 17
Repeat this process with the rest of the X values to get your Y values.
Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.
01:53:18
Which inequality represents the sentence below?
Two more than a number is less than 14.
2 + n less-than-or-equal-to 14
2 + n less-than 14
2 + n greater-than-or-equal-to 14
2 + n greater-than 14
Answer: It's the second option
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
edge 2020-2021 <3
please help me with this
Answer:
D. [tex]\sqrt{250}[/tex]
Step-by-step explanation:
First, use prime factorization of 250 to get [tex]\sqrt{2*5^3}[/tex]
Then apply the exponent rule, [tex]a^{b+c} =a^{b}*a^{c}[/tex]
=[tex]\sqrt{2*5^2*5} }[/tex]
Apply radical rule: [tex]\sqrt{ab}= \sqrt{a} \sqrt{b}, a\geq 0, b\geq 0[/tex]
=[tex]\sqrt{5^{2}} \sqrt{2*5}[/tex]
Apply radical rule: [tex]\sqrt{a^{2}} =a, a\geq 0[/tex]
=5[tex]\sqrt{2*5}[/tex]
=5[tex]\sqrt{10}[/tex]
Answer:
D. I did the math on my calculator
The regular price of The Mario Kart 8 Deluxe video game is $59.99. On Amazon, the discount is $10.05. What is the percent discount on this video game?
Answer:
It was a 16.7% discount
Step-by-step explanation:
You have to get the discount and divide it by the original price and it would be 0.16753 and so the percent becomes 16.7%
Answer: About 6 percent off.
Step-by-step explanation:
hope this helps :)
helpppp meeee plz...
Answer:
3 coefficient po
Step-by-step explanation:
sana maka tulong
Can you help me with this pls?
Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A) 59 cm2 B) 118 cm2 C) 237 cm2 D) 473 cm2
Answer:
237
Step-by-step explanation:
The area of the regular octagon is 237 cm^2
How to determine the area?The given parameters are:
Apothem (a) = 8.45
Side length (s) = 7
Number of sides (n) = 8
The area of the regular octagon is then calculated as:
A = 0.5 * a * n * s
This gives
A = 0.5 * 8.45 * 8 * 7
Evaluate the product
A = 236.6
Approximate
A = 237
Hence, the area of the regular octagon is 237 cm^2
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Which expression is equivalent to 1/2b -15?
A. -1/2 (b + 30)
B. -1/2 (b - 30)
C. 1/2 (b - 30)
D. 1/2 (b + 30)
The expression 1/2b -15 is equivalent to, 1/2(b-30), So option C is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression, 1/2b -15
The expressions are equivalent = ?
So now, we can take 1/2 common from the expressions
⇒ 1/2b -15(2/2)
⇒ 1/2(b -15×2)
⇒ 1/2(b - 30)
Hence, the equivalent expression is, 1/2(b - 30)
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someone solve please
Station A and Station B are 120 miles apart. A train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes. When the train continues its journey, the engineer increases its average speed by 15 mph so that the train will arrive at station B on schedule. Find the average speed of the train before it stopped for 16 minutes.
Answer:
60
Step-by-step explanation:
60
The average speed of the train was 80mph.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, Given that, Station A and Station B are 120 miles apart.
And, a train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes.
Let, its average speed was x mph.
Then, Total time if didn't stop = 120/x h
Now, before stop it took time =( 1/3×120)/x h =40/x h
After stop it took time = 80/(x+15) h
i.e. 40/x +16/60+ 80/(x+15) = 120/x
⇒80/(x+15)+8/30= 80/x
⇒80(1/x-1/(x+15))=8/30
⇒10×(15/x^2+15x)=1/30
⇒x^2+15x=10×15×30
⇒x^2+15x-450=0
⇒x^2+75x-60x-450=0
⇒(x+75)(x-60)=0
⇒x=60 or, x= -75
Hence. the required speed was 60mph.
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Decide if the ansewer to 7/5x11 is less than greater than or equal to 11. A.greater than B.less than C.equal to
Answer:
The answer to 7/5x11 is 15.4, so A. Greater than.
Step-by-step explanation:
7/5= 1.4, 1.4x11=15.4.
What is the slope-intercept equation for the
graph shown below?
A. y = 1/2x - 1
B. y = -1/2x - 1
C. y = -1/2 + 1
D. y = 2x - 1
If you borrow $491 for one year at an interest rate of 9%, how much interest will you pay?
Answer:
44.19
Step-by-step explanation:
419*0.09=44.19
Solve the inequality.
Step-by-step explanation:
subtract the value by placing it in the right side and multiply with 4.
pls help me it is important to me
Answer:
no
Step-by-step explanation:
Which expression has a value closest to 1? (Use 3.14 as the value of 1.)
A.
77
V10
B. 75-V74
O C.
V37-V26
3V5 – V20
D.
Answer:
C: √37 - √26
Step-by-step explanation:
√37 = 6.083
√26 = 5.1
6.083 - 5.1 = 0.983
Answer:
C
Step-by-step explanation:
the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room
Answer:
Given :-the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room
To Find :-Length and breadth
Answer :-Let the length and breadth be l + 2 and l
Now,
[tex] \large \sf \: Area = l + 2 \times l [/tex]
[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]
[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]
[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]
[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]
[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]
Either
[tex] \large \sf \: l = - 9[/tex]
or,
[tex] \large \sf \: l = 7[/tex]
Length can't be negative,
So,
L = 9
B = 7
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PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRR
Sara and 3 of her friends went to lunch one day. Each person paid for her own lunch, but they agreed to split the tip. If the tip amount was 15% of the total, and the 4 lunches totaled $60, what was the portion of each person’s tip amount?
Answer:
Step-by-step equation:
15% of 60 is nine.
Percentage is equivalent to the portion of a quantity present in the whole. The portion of each person’s tip amount shared by Sara and 3 of her friends is $2.65.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
To convert percentage into a fraction it is divided by 100.
Given that,
The amount of tip is 15% of the total amount A.
The total amount of 4 lunches = $60.
As per the question, the total amount can be written as,
15% of A = A - 60
=> 15 / 100 × A = A - 60
=> A - (3 / 20) × A = 60
=> A - (3 / 20) × A = 60
=> (17 / 20) × A = 60
=> A = (60 × 20) / 17
=> A = 70.58
Now, the total amount of tip is,
15% of 70.58
(15 / 100) × 70.58 = 10.58
The tip shared by each friend = 10.58 ÷ 4
= 2.65
Hence, the portion of each person’s tip amount is $2.65.
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d) What would be the total cost of purchasing the number of shirts needed to use your coupon—after your coupon is applied and a 7.5% sales tax is charged on the purchase?
Answer: Multiply 7.5% by the price after subtracting the coupon's value.
Step-by-step explanation:
Let's assume that the cost of the shirts is x. So the coupon would subtract y from x so that's x-y which gives us z. Then to find z, on a calculator just put in 7.5% x z. I used variables since I don't know the value of the coupon or the original price of the shirts.
Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherries Leslie ate.
Answer:
The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Step-by-step explanation:
As given,
Mary ate cherries = x pound
And
Leslie ate [tex]\frac{6}{9}[/tex] more.
⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex] ) pound.
which of the given values will make the inequality n-93>175 true?
n=82
n=105
n=268
n=300
n=312
Answer:
n = 300 and n = 312
Step-by-step explanation:
n - 93 > 175
n > 175 + 93
n > 268
Therefore only the two last answers are are possible n values (n has to be more than 268, not equal)
The two numbers 300 and 312 will make the inequality n-93>175 true which are correct option (D)300 and (E)312.
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
Given inequality as:
n - 93 > 175
n > 175 + 93
n > 268
Therefore, n must be greater than 268 and not equal.
Hence, the two numbers 300 and 312 will make the inequality n-93>175 true.
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What is the LCM of 10 and 12?
Answer:
The LCM of 10 and 12 is 60
Step-by-step explanation:
Hope this helped! :)
Answer:
i think its 60
Step-by-step explanation:
‘Find the value and figure of B’
Answer:
b = 12 in
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
b^2 + 9^2 = 15^2
b^2 = 225 - 81
b^2 = 144
b = 12
Answer: b = 12 in
What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative.
Answer:
192.5 in³
Step-by-step explanation:
The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.
Thus the volume V = lbh =
V = (20-2x)*(10-2x)*(x)
V = 4x³ - 60x² + 200x
On differentiating, we have dv/dx to be
dv/dx = 12x² - 120x + 200
Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113
This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.
You cut 2.113 inches from each corner to obtain the maximum volume.
The sizes of the cubes are
20 - (2 * 2.113) = 15.774
10 - (2 * 2.113) = 5.774
2.113
The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.
There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?
Answer:
262,144
Step-by-step explanation:
2^0 = 1
(2^6)^3 = 2^18 = 262,144
Answer: 262,144.
Step-by-step explanation: (26)3(20)
=(643)(20)
=262144(20)
=(262144)(1)
=262144