Answer:
y=2^x - 5
Step-by-step explanation:
"- 5" demonstrates a verical shift 5 units down
Radius=6 in.
Height=3 in.
Answer:
[tex]V = 108π {units}^{2} [/tex]
Step-by-step explanation:
Assuming you are looking for the volume of a cylinder with radius=6in and height =3 in.
First , write the formula for the volume of a cylinder.
[tex]V = \pi {r}^{2} h[/tex]
Next, substitute the radius , r=6 and the height , h=3 .
[tex]V = \pi \times {6}^{2} \times 3[/tex]
[tex]V = \pi \times 36 \times 3[/tex]
[tex]V = 108\pi {units}^{2} [/tex]
7x+5(-6)=-9 solve for x
Answer:
x=3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
7x+5(-6)=-9
7x-30=-9
7x=21
x=3
Which TWO linear equations represent perpendicular lines?
y = ½x + 4
x - 3y = -8
y = -2x - 3
y = 2x - 4
Step-by-step explanation:
[tex]y = \frac{1}{2} x + 4[/tex]
and,
[tex]y = - 2x - 3[/tex]
represents perpendicular lines.
Two lines are perpendicular when product of their slopes = -1
In, y =½x+4
m1 = ½
In y = -2x -3
m2 = -2
Now, m1× m2 = ½× (-2) = -1
What are the slope and y intercept of the relationship shown in the table? X 10000 y 2500; x 20000 y 3000; x 30000 y 3500
Answer: slope ; increasing by 10000, y - intercept ; increasing by 500.
Step-by-step explanation:
y = mx+b
x is increasing by 10000
y is increasing by 500
The slope of the table is 1/200 and the y-intercept is 2550.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The table is given below;
x y
10000 2500
20000 3000
30000 3500
To find the slope:
m = (3500 - 2500)/(30000 - 10000)
m = 1000/20000
m = 1/200
Now, the equation of the line that passes through points (10000, 2500) and has a slope of 1/200 is,
y - 2500 = 1/200(x - 10000)
To find the y-intercept:
Put x = 0,
we get,
y - 2500 = 50
y = 2550
Therefore, 2550 is the y-intercept.
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Use the ratio table to solve the percent problem.
What percent is 12 out of 20?
Answer:
It would be 60%.
Step-by-step explanation:
To find the answer, you would have to do x/100 = 12/20. You would cross multiply leaving you with 20x=1200 you would then divide by 20. This would leave you with the answer of 60. Therefore, your answer is 60%.
Answer: 60%.
Step-by-step explanation:
From the question, 12 : 20 = x
Let the missing value be x.
12/ 20 x 100/1 = 60%
Therefore 12 out of 20 is 60%.
Wha rid the value of n very confused and need help
Answer:
n = 6
Step-by-step explanation:
Two intersecting chords. The product of the parts of one chord is equal to the product of the parts of the other chord, that is
7(n + 4) = 5(n + 8) ← distribute parenthesis on both sides
7n + 28 = 5n + 40 ( subtract 5n from both sides )
2n + 28 = 40 ( subtract 28 from both sides )
2n = 12 ( divide both sides by 2 )
n = 6
b. The area of the playground is one and a half times that of the swimming pool. Fir
the swimming pool and the playground.
Lesson 18:
Relate decimal and fraction multiplication.
©2018 Great Minds eureka-math.org
Answer:
Step-by-step explanation:The area of the playground is one and a half times that of the swimming pool. Fir
the swimming pool and the playground.
Without more information, we cannot determine the area of the playground and swimming pool.
Explanation:To find the area of the playground and swimming pool, we need more information such as the dimensions or area of one of the shapes. Without that information, we cannot solve the problem.
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In the xy-plane, line h passes through the points
(0,5) and (4,0). Which of the following is an
equation of line h?
A) 4x + 5y = 20
B) 5x + 4y = 20
C) 4x - 5y = 20
D) 5x – 4y = 20
Answer:
5x + 4y = 20
Step-by-step explanation:
(x1,y1) and (x2, y2)
(0, 5) and (4 ,0).
From equation of a line
y2 - y1/x2 - x1 = y - y1/ x - x1
Where x1 = 0, y1 =5 , x2 = 4 , y2 = 0
Imputing values,
0- 5/4-0 = y - 5 / x - 0
-5/4 = y -5/x
Multiply both sides by 4x I. E lcm of 4 and x
4x × -5/4 = y-5/x × 4x
-5x = 4(y - 5)
-5x = 4y - 20
Add 5x to both sides
-5x + 5x = 5x + 4y - 20
5x + 4y - 20 = 0
Add 20 to both sides
5x + 4y - 20 +20 = 0+20
5x + 4y = 20
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A bag contains 25 cookies there are 15 chocolate chip cookies 7 peanut butter cookies and the rest are oatmeal raisin cookies what is the probability of randomly choosing a chocolate chip or peanut butter cookies from the bag
Answer:
22
----
25
Step-by-step explanation:
to get the answer you should add up the amount of chocolate chip and peanut butter cookies to get your total and then put it over the total amount of cookies you have
The probability of randomly choosing a chocolate chip or peanut butter cookie from the bag is 22/25 or 0.88 (rounded to two decimal places).
What is probability?The probability of randomly choosing a chocolate chip or peanut butter cookie can be found by adding the probabilities of choosing a chocolate chip cookie and a peanut butter cookie.
The probability of choosing a chocolate chip cookie is the number of chocolate chip cookies in the bag divided by the total number of cookies:
P(chocolate chip) = 15/25 = 3/5
The probability of choosing a peanut butter cookie is the number of peanut butter cookies in the bag divided by the total number of cookies:
P(peanut butter) = 7/25
So, the probability of choosing a chocolate chip or peanut butter cookie is:
P(chocolate chip or peanut butter) = P(chocolate chip) + P(peanut butter)
P(chocolate chip or peanut butter) = 3/5 + 7/25
P(chocolate chip or peanut butter) = 15/25 + 7/25
P(chocolate chip or peanut butter) = 22/25
Therefore, the probability of randomly choosing a chocolate chip or peanut butter cookie from the bag is 22/25 or 0.88 (rounded to two decimal places).
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Allowance $10
Earn $18
Spend $3.28, $7.15, and $9.54
Save?
Answer:
8.03
Step-by-step explanation:
10+18 = 28
28 - 3.28 - 7.15 - 9.54 = 8.03
Determine whether the point is on the graph of the equation 2x+3y=8.
(1,2)
The point [tex](1,2)[/tex] is on the graph of the equation.
Explanation:
The equation is [tex]2x+3y=8[/tex]
We need to determine the point [tex](1,2)[/tex] is on the graph.
To determine the point [tex](1,2)[/tex] is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.
Thus, substituting the point [tex](1,2)[/tex] in the equation [tex]2x+3y=8[/tex], we get,
[tex]2(1)+3(2)=8[/tex]
Multiplying the terms within the bracket, we have,
[tex]2+6=8[/tex]
Adding the LHS, we have,
[tex]8=8[/tex]
Thus, both sides of the equation are equal.
Hence, the point [tex](1,2)[/tex] is on the graph of the equation [tex]2x+3y=8[/tex]
Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month. Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month. How many months will pass before the two friends have the same hair length?
Answer:
18
Step-by-step explanation:
13 + (⅔)t = 16 + (½)t
(⅔ - ½)t = 3
t/6 = 3
t = 18
To solve for z, you divide each side of the equation by what number?
3/4z = 15
a. 4/3
b. 3/4
c. 15
d. 4
Answer:
B
Step-by-step explanation:
PLEASE GIVE BRAINLYEST
Susan invests 3 times as much money at 10% as she does at 6%. If her total interest after 1 year is $1800, how much does she have invested at each rate?
Susan has $5000 invested at 6% and $15000 invested at 10%.
To solve the problem, let's use algebra to define the amount Susan has invested at each rate. Let the amount invested at 6% be represented by x, and consequently, the amount invested at 10% will be 3x, as it is three times the amount invested at 6%. The total interest from both investments is $1800 after one year.
The interest from the investment at 6% is 0.06x, and the interest from the investment at 10% is 0.10(3x), which is 0.30x. The equation representing the total interest is:
Total Interest = Interest from 6% + Interest from 10%
1800 = 0.06x + 0.30x
Combining like terms gives us:
1800 = 0.36x
Dividing both sides of the equation by 0.36 to solve for x:
x = 1800 / 0.36
x = $5000
This is the amount invested at 6%. The amount invested at 10% is 3 times that, so:
3x = 3 * $5000
3x = $15000
Therefore, Susan has $5000 invested at 6% and $15000 invested at 10%.
The price of a t-shirt was $25.45. Lizzy gave the clerk $50. How much change did Lizzy get?
Answer: $24.55
Step-by-step explanation: subtract $25.45 from $50 and you get $24.55.
Everly needs to order stock for her store and wants to order the items that have the greatest probability of having repeat customers. She has to decide between the national brand and the store brand for both cereal and crackers. She has recorded the sale of each type and the probability that a customer bought the same item again. Which should she stock?
Answer:
B) National Brand Cereal and Store Brand Crackers
Step-by-step explanation:
Since she wants to order the items that have the greatest probability of repeat customers she needs to order the items with the larger probability. That is National Brand Cereal and Store Brand Crackers
Answer:
b
Step-by-step explanation:
Angle x and angle y are complementary. Angle x is supplementary to a 128 degrees angel. What are the measures of angle x and y
Answer: x is 52 and y is 38.
Step-by-step explanation:
x+128=180
x=52
52+y=90
y=38
Answer: X=128 y=52
Step-by-step explanation:
If x=128 take 180-128=52 and 52=y
At the end of a baseball game, the players were given the choice of having a bottle of
water or a box of juice. Of all of the players, 12 chose a bottle of water, which was three-fourths of the total number of players. Write and solve an equation to determine p,
the total number of players at the baseball game.
Answer:
16 players
12(3/4) = p
Step-by-step explanation:
12/[tex]\frac{3}{4}[/tex] = 16
or 12/3 = 4 x 4 = 16
Answer:16 players
Step-by-step explanation:
Blanca has 3/4 pound of tuna salad. She uses 1/3 of the tuna salad to make sandwiches. How much of the tuna salad did Blanca use?
Answer:
33.33% or 1/3
Step-by-step explanation:
3/4 = 9/12
1/3 = 4/12
9/12 pounds is the total and 4/12 pounds were used were us
1/12 is equal to 8.333% because 9/12 is the 100%, so, the total tuna salad used was 33.33% = 1/3 of the total.
Brainliest please ;)
Answer:
3/12
Step-by-step explanation:
3/4 x 1/3 = 3/12 (3x1) = 3 (1x3) = 12
what is the opposite of-5.5
Answer:
5.5
Step-by-step explanation:
think of a numberline that might help
hope this helps!
Alicia can paint a small room 21 hours faster than Nina aloneness 4 hours slower than Alicia and Nina together. How long will it take them to paint the room together? Express your answer in decimal form
Answer:
11.413 Hours.
Step-by-step explanation:
Alicia can paint a house in 21 hours; Which means in 1 hour she can paint 1/24 of the house.
Nina can paint the same house in (21+4) hours. Which means in 1 hour she can paint 1/25 of the house.
Together in 1 hour they can paint: 1/21 + 1/25 = 46/525 of the house.
Total Hours for painting the house together will be 525/46 = 11.413 Hours.
What is the solution to 3/4(x+8)>1/2(2x+10)
Answer:
x < 4
Since you have to simplify on both sides and then divide or multiply the coefficient on both sides to get the answer.
A hotel charges $90 per day for a double room $80 per day for a single room. If a total of 80 single and double rooms are occupied and a total revenue of $6930 is taken in, how many of each type of room are there?
Answer:
the number of single room is 27 and the number of double room is 53
Step-by-step explanation:
Let x is the number of single room
Let y is the number of double room
We know that:
x + y = 80 <=> x = 80 -y (1)
80x +90y= 6930 (2)
Substitute (1) in (2) we have:
80 (80 - y) + 90y = 6930
<=> 6400 - 80y +90y = 6930
<=> y = 53
> x = 80 - 53 = 27
the number of single room is 27 and the number of double room is 53
what is the solution to the equation 5a^2-44=81
Answer:
5
Step-by-step explanation:
[tex]5a^{2} -44=81\\5a^{2} -44+44=81+44\\5a^{2} =125\\\frac{5a^{2} }{5} =\frac{125}{5}\\a^2=25\\\sqrt{25} =x=5[/tex]
My teacher assigned 2(3x+4) to my class and I and I’m not quite sure how to solve it because I don’t know and I’m also not quite sure if my friends and classmates know how to solve this problem either
Answer:
The answer is 6x+4
Step-by-step explanation:
2(3x+4) multiply both constant and variable by the value outside of the parenthesis
and you'll get 6x+4
if you need help then before you look for the answer online be sure to ask your teacher for help so you can understand and want have to look for the answer online
What is the value of k in the equation?
20k/20^4=20^9
20k/20⁴=20⁹
20k=20⁴×20⁹=20¹³
k=20¹³/20=20¹²
Answer: k=20¹²
The value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.
To solve for the value of k in the equation (20k)/(20⁴) = 20⁹, we can follow these steps:
1. Simplify both sides of the equation:
(20k)/(20⁴) = 20⁹
So, (20k)/(20⁴) = (20⁴)²
2. Evaluate the exponent on the right side:
(20k)/(20⁴) = 20⁸
3. Multiply both sides by (20⁴) to eliminate the denominator on the left side:
[(20k)/(20⁴)] * (20⁴) = (20⁸) (20⁴)
Simplifying the left side:
20k = 20¹²
4. Divide both sides by 20 to solve for k:
(20k)/20 = (20¹²)/20
k = 20¹² / 20
5. Further simplify the right side:
k = 20¹¹
Therefore, the value of k in the equation (20k)/(20⁴) = 20⁹ is k = 20¹¹.
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Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6?
y = negative 6 x + four-fifths
y = four-fifths x minus 6
y = four-fifths x + 6
y = 6 x + four-fifths
Answer:
Option B.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is a slope and b is y-intercept.
It is given that slope of line is 4/5 and y-intercept is -6.
Substitute m=4/5 and b=-6 in the above formula.
[tex]y=\dfrac{4}{5}x+(-6)[/tex]
[tex]y=\dfrac{4}{5}x-6[/tex]
Hence, the correct option is B.
Which expressions are equivalent to 7 (negative three-fourths x minus 3)? Select two options
Answer:
The answers are A and E
The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7
meters more than the first side. What is the length of each side?
Answer:
x=21
y=16
z=28
Step-by-step explanation:
Let
The first side=x
The second side =y
The third side=z
The rest is in the attached file
Answer:
First side (x)[tex]=21m[/tex]
Second side[tex]=x-5=21-5=16m[/tex]
Third side[tex]= x+7=21+7=28m[/tex]
Step-by-step explanation:
Perimeter of the triangle= Sum of all the three sides
Let the First side be [tex]'x'[/tex]
Then, Second side [tex]=x-5[/tex]
Third side= [tex]x+7[/tex]
Perimeter[tex]=65 m[/tex]
Perimeter of the triangle= First side + Second side + Third side
[tex]65=x+(x-5)+(x+7)\\\\65=x+x+x-5+7\\\\65=3x+2\\\\3x=65-2\\\\3x=63\\\\x=63/3\\\\x=21 m\\\\[/tex]
First side (x)[tex]=21m[/tex]
Second side[tex]=x-5=21-5=16m[/tex]
Third side[tex]= x+7=21+7=28m[/tex]
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
Answer:
28
Step-by-step explanation:
(k + k)(4)
2k(4)
2[5(4) - 6]
2(14)
28