Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?
Answer:
900 Miles
Step-by-step explanation:
Since 1 inch = 200 miles, then ....
4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles
OR
1 / 200 : 4.5 / m ==> 1 * 4.5 / 200 * 4.5 = 4.5 / 900 ==> m = 900
Thus, the actual distance between the two cities is 900 miles.
O A woman's store sells the following categories of clothing for the following prices. blouses : Ghc14 each, skirt : Ghc 16 each, dress: Ghc 25 each, pantyhose:2 pairs for Ghc 3, socks: Ghc7. A lady goes to the store in a day when the store has a 20% off sale on all skirts. if ya buys 2 skirks, 1 dress and 4 pairs of pantyhose, how much money does lady have to pay?
Answer:
$4
Step-by-step explanation:
i know this because i passed collage last year
A coordinate plane with a straight line with a positive slope passing through the points, (0, negative 3) and (3, 4). Choose the answer to complete each statement. The slope of the line is . The y-intercept is at . The graph represents the function
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{4+3}{3}\implies \cfrac{7}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{7}{3}}(x-\stackrel{x_1}{0})[/tex]
we can always find the y-intercept by simply setting x = 0, or namely
[tex]y-(-3)=\cfrac{7}{3}(0-0)\implies y+3=\cfrac{7}{3}(0)\implies y+3=0\implies y=-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{y-intercept at}}{(0~~,~-3)}~\hfill[/tex]
Answer:
first one is 7/3
second one is -3
third one is g(x) = 7/3x-3
Step-by-step explanation:
I got it right
Identify the given quadrilateral
Can anyone tell me if these are correct?
Point One = (0, -2) = Point Two = (-3, -5)
write in slope intercept form
Answer: m=1
Step-by-step explanation:
Use the equation y=y2-y1 over x2-x1
1. label your points
0=x1
-2=y1
-3=x2
-5=y2
The first pair is x1 and y1 and the next pair is x2 and y2
plug in the numbers to find your answer
Hi! ❤️ , im looking for some (accurate) help here.
ill give brainliest if able to.
Answer:
A
Step-by-step explanation:
70000 is 100 times greater than 700
Donnel purchased two pairs of jeans. There was a 20% discount on one pair of jeans with an original price of $45.50. There was a 40% discount on the other pair of jeans with an original price of $32.20. How much did he save altogether?
Answer:
$21.98
Step-by-step explanation:
45.50 * .20 = 9.1
32.20 * .40 = 12.88
12.88 + 9.1 = 21.98
Help please on part b
Answer:
-0.045
Step-by-step explanation:
you first take the derivate of A(t)
A'(t)=1.4e^-0.05t X (-0.05)
A'(t)=-0.07e^-0.05t
so when t=0
amount remaining is -0.07e^-0.05(0) ---- e^0 = 1
so its -0.07
when t=9
do the same thing,
-0.07e^-0.05(9) ---use calculator
-0.045
Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?
Answer:
3
Step-by-step explanation: because 15 divided by 5 equals 3
Which expressions have a value that is greater than 1?
Answer:
Im not sure about A but other then that B and D have greater values then one
Step-by-step explanation:
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]
[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]
How to divided 4 and 2/4
Answer:
8
Step-by-step explanation:
turn 2/4 into fraction by dividing 2 by 4 equals to 0.5 then divide 4 by 0.5 equals 8
12 x 12 x 12 = 4 x # x 4 what number must replace the '#' symbol
Answer:
I'm pretty sure it's 108.
Step-by-step explanation:
12 x 12 x 12 = 1,728
4 x 4 = 16
1,728 ÷ 16 = 108
Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.15. How much will the fabric cost?
[1 ft = 0.305m]
$9.20
$2.12
$2.81
$30.16
Answer:
$2.81
Step-by-step explanation:
8 feet = 2.44 meters
2.44 · $1.15 = $2.81
I hope that this helps!!!
Answer:
c. 2.81
Step-by-step explanation:
The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.
Answer:
Step-by-step explanation:
A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
What is Ratio?Ratio is a concept in mathematics used to compare two things.
It is denoted by a : b.
A ratio can be represented as fractions also like a/b.
In the question, it is given that the ratio of boys to girls is 3 to 4.
A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
To learn more about Ratio, click:
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In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]
Answer:
25
Step-by-step explanation:
AC=50 ∴BC=25
DF is the opposite of BC ( take it as a square BCDF)
1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.
Answer:
?
Step-by-step explanation:
You can’t know that, because you don’t know how many total apples there are.
Which equation has a solution of r = 1/3
Answer:
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A.
2 2/3 + r = 3
r = 3 - 2 2/3
r = 1/3
B.
r - 1 = 2/3
r = 1 2/3
C.
3r = 1/3
r = 1/9
D.
4r = 12
r = 3
Answer: A.
Two points are shown on the number line. Which value is best represented by the point F? 
Answer:
I believe its d
Combining like terms. Solve for b.
15b + 10b = 50
Answer:
b=2
Step-by-step explanation:
15b+10b=50
25b=50
b=2
Answer:
B is 2 because 10x2=20 and 15x2=30
add those 2 up and get 50
Step-by-step explanation:
Give brainly pls(the crown)
5 lb 6 oz = __________ oz
Explain yourself
Answer:
86 oz
Step-by-step explanation:
1 lb = 16 oz
5 lb * 16 oz = 80 oz
80 oz + 6 oz = 86 oz
what is the value of 2
Step-by-step explanation:
???
one more than 1, one less than 3
Answer:
the value of 2 is 1+1=2
Step-by-step explanation:
gamsahamnida have a great day ahead
A model rocket is launched with an initial upward velocity of 125/fts. The rocket's height h (in feet) after t seconds is given by the following.
h=125t- -16t^2
Answer:
H = V0 t + 1/2 g t^2 is the equation in question with V0 and g in different directions, they have different signs
how do you simplify 18x⁶/27x⁴
Answer:
2x^2/3
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Each square below represents one whole …. What percent is represented by the shaded area?
Answer:
3/4
Step-by-step explanation:
because there are 4 parts and only three are shaded so 3/4
3/4 or .75 or 75%
100 pointer question here
Answer:
See attached
Expressions matching the properties
The associative property:
a + b = b + aab = baThe commutative property:
a + (b + c) = (a + b) + cDistributive property:
a(b + c) = ab + acrebecca has 12 photos she wants to hang side by side on her wall.
A. if she only wants to display 8 of the photos, in how many ways can she choose 8 photos she wishes to eventually display?
B. in how many ways can she arrange all 12 photos?
C. if rebecca wants to have the 10 out of 12 photos in specific places, how many ways could she order the 12 photos?
We want to find different ways of selecting and ordering elements. The answers are:
A) C = 395
B) combinations = 479,001,600
C) combinations = 239,500,800
First, we know that Rebecca has 12 photos.
A) She wants to choose 8 of these 12 photos, we want to see in how many ways she can choose these 8 photos.
Remember that for a set of N elements, the number of different combinations of K elements (such that K is smaller than N) is given by:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
Here we have N = 12 and K = 8, then:
[tex]C(12, 8) = \frac{12!}{(12 - 8)!*8!} = \frac{12!}{4!*8!} = \frac{12*11*10*9}{4*3*2*1} = 495[/tex]
So there are 495 different ways of choosing 8 photos out of the 12.
B) Now we want to see in how many ways she can arrange all 12 photos.
The first photo can be any one of the 12, so there we have 12 options.The second photo can be any one of the remaining 11 (so we have 11 options).The third photo can be any one of the remaining 10, and so on.The total number of combinations is just the product between the numbers of options, we got:
[tex]combinations = 12*11*10*9*8*7*6*5*4*3*2*1 = 479,001,600[/tex]
C) Now we must combine the two things we did before, first, we select 10 out of the 12 photos, and then we want to find in how many ways we can arrange these 10 photos.
[tex]C(12, 10) = \frac{12!}{(12 - 10)°*10°} = \frac{12*11}{2} = 66[/tex]
And we multiply this by the total number of arrangements of these 10 photos, that is just given by 10!, so we get:
[tex]c = 66*10! = 66*(10*9*8*7*6*5*4*3*2*1) = 239,500,800[/tex]
If you want to learn more, you can read:
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Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.
The amount of Plutonium that remains after 36 months is 0.05
The equation for the amount of Plutonium after t months is
[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]
After 36 months; we have: t = 36.
Substitute 36 for t in P(t).
So, we have:
[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]
Simplify the exponent
[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]
Evaluate the exponent
[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]
Multiply
[tex]\mathbf{P(36) = 0.052848}[/tex]
Approximate to 2 decimal places
[tex]\mathbf{P(36) = 0.05}[/tex]
Hence, the amount that remains is 0.05
Read more about exponential functions at:
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A car rents for $40 per day plus 21¢ per mile. You are on a daily budget of $82. What mileage will allow you to stay within your budget?
Answer:
less than or equal to 200 miles
Step-by-step explanation:
let 'm' = mileage
0.21m + 40 ≤ 82
subtract 40 from each side to get:
0.21m ≤ 42
divide each side by 0.21 to get:
m ≤ 200
The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.
Answer:
116°
Step-by-step explanation:
(Angle sum property of a triangle = 180°)
angle A + angle C + angle ABC = 180°
66° + 50° + angle BAC = 180°
116° + angle ABC = 180°
angle ABC = 180° - 116°
angle ABC = 64°
angle ABD + angle ABC = 180°
angle ABD + 64° = 180°
angle ABD = 180° - 64°
angle ABD = 116°
So, the measure of the unknown angle is 116°
How to solve -2(x+2)^2=5 using the square root method.