Rewrite each expression below using the distributive property then evaluate each expression for X equals two and Y equals five. a.8x-4= b.6y2+24y c. 7X(y -2) d. 3(9+y)
Answers
12 30+2+120 14*3 3*14
152 42 42
i hope it helps
Related Questions
Sales of a new tablet grow by 10% every month. Sales for this month are at 5 thousand. Write an equation to represent this situation and then approximate the sales 6 months from now.
Answers
The equation is:
f ( t ) = 5,000 * ( 1.1 )^t
where t it the time in months.
f ( 6 ) = 5,000 * ( 1.1 )^6 =
= 5,000 * 1.77156 = $8,857.80
Answer: The sale 6 months from now will be $8,857.80.
A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 20 inches, as shown below. Use for pi. Which of the following can be used to calculate the volume of water inside the fish bowl?
Answers
AB is the diameter of the sphere.
So the radius is 20in / 2 = 10 in
And the volume of water is half the volume of the sphere.
=> V of water = (1/2)* (4/3) π (r^3)
Also, this problems asks to use 22/7 as approximation of π.
=> V of water = (1/2) (4/3) (22/7) (10in)^3 = 2,095 in^3
Answer: (1/2)(4/3)(22/7)(10in)^3 = 2,095 in^3
A certain number is multiplied by 3, and then 5 is added to the result. The final answer is 41. What is the number
Answers
How does changing the function from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6 affect the range of the function?
The function shifts down 4 units, so the range changes from −4 to 4 in f(x) to −8 to 0 in g(x).
The function shifts down 4 units, so the range changes from −1 to 1 in f(x) to −5 to −3 in g(x).
The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
The function shifts down 6 units, so the range changes from −1 to 1 in f(x) to −7 to −5 in g(x).
Answers
Option # 3
Answer:
The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
Step-by-step explanation:
Given : f(x) = −4 cos 3x and g(x) = −4 cos 3x − 6.
To find : How does changing the function affect the range of the function?
Solution : We have given that
Function change from f(x) = −4 cos 3x to g(x) = −4 cos 3x − 6.
By the transformation rule : f(x) →→→f(x) -k it mean function shifted down k unit .
Then Function would shift down 6 unit .
For f(x) = −4 cos 3x
Range: [ -4,4]
For g(x) = −4 cos 3x − 6.
Range : [-10 ,-2]
Therefore, The function shifts down 6 units, so the range changes from −4 to 4 in f(x) to −10 to −2 in g(x).
Which table shows a proportional relationship between miles traveled and gas used?
Answers
cross multiply to see if it is a true proportion
(15)(135) = (270)(7.5)
2025 = 2025 (correct...so this is a true proportion)
answer is : bottom right one
Answer:
last fourth table given in the figure shows the proportional relationship .
Step-by-step explanation:
Definition of proportional relationship
The relationship in which two quantities are varies proportional to each other .
[tex]a = kb[/tex]
Where k is called the proportional constant .
Let us assume that the number of miles travelled be y .
let us assume that the gas used be x .
[tex]y\propto x[/tex]
y = ca
Where c is the proportional constant .
In first table
Miles travelled = 27.3 mi
Gas used =1.5 gal
Putting in the formula
y = ca
27.3 = 1.5c
[tex]\frac{27.3}{1.5}=c[/tex]
c = 18.2
Miles travelled = 49.16 mi
Gas used = 3.8 gal
Putting in the formula
y = ca
49.16 = 3.8c
[tex]\frac{49.16}{3.8}=c[/tex]
c = 12.94 (Approx)
Thus the miles travelled is not vary with the gas used .
Therefore table not shows the proportional relationship .
Second Part
Miles travelled = 135 mi
Gas used = 7.4 gal
Putting in the formula
y = ca
135 = 7.4c
[tex]\frac{135}{7.4}=c[/tex]
c = 18.2
Miles travelled = 135.5 mi
Gas used = 7.9 gal
Putting in the formula
y = ca
135.5 = 7.9c
[tex]\frac{135.5}{7.9}=c[/tex]
c = 17.2 (Approx)
Thus the miles travelled is not vary with the gas used .
Therefore table not shows the proportional relationship .
Third table
Miles travelled = 120 mi
Gas used = 6.2 gal
Putting in the formula
y = ca
120 = 6.2c
[tex]\frac{120}{6.2}=c[/tex]
c = 19.4 (Approx)
Miles travelled = 180 mi
Gas used = 12.2 gal
Putting in the formula
y = ca
180 = 12.2c
[tex]\frac{180}{12.2}=c[/tex]
c = 14.8 (Approx)
Thus the miles travelled is not vary with the gas used .
Therefore table not shows the proportional relationship .
Fourth table
Miles travelled = 270 mi
Gas used = 15gal
Putting in the formula
y = ca
270 = 15c
[tex]\frac{270}{15}=c[/tex]
c = 18
Miles travelled = 135 mi
Gas used = 7.5 gal
Putting in the formula
y = ca
135= 7.5c
[tex]\frac{135}{7.5}=c[/tex]
c = 18
Thus the miles travelled is vary with the gas used .
Therefore table shows the proportional relationship .
The last fourth table given in the figure shows the proportional relationship .
Why would experimental probability differ from theoretical probability?
Answers
9.Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi.
A 6
B 15.7
C 3
D 9.42
Answers
The circumference can be found just by multiplying the diameter by pi.
So all you need to do is 18.84/3.14 which is 6.
Answer:
A. 6
Step-by-step explanation:
Write the formula c = 2πr. Substitute the value 18.84 feet for c. Solve the equation for c. Since the radius always measures one-half the length of the diameter, multiply the value of c by 2.
A gift box is a rectangular prism14inches long,5inches wide,and 4inches high.If the box is to be covered in fabric ,how much fabric is needed if there is no overlap?
Answers
when he length=L
width=W
and height=H
SA=2(LW+WH+LH)
so
L=14
W=5
H=4
subsitute
SA=2((14)(5)+(5)(4)+(14)(4))
SA=2(70+20+56)
SA=2(146)
SA=292
you need 292 square inches of fabric
The total fabric needed would be 292 square inches.
To calculate how much fabric is needed to cover the gift box without overlap, we must find the surface area of the rectangular prism representing the box. The formula to find the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l represents the length, w represents the width, and h represents the height.
Given the dimensions of the box are 14 inches (length), 5 inches (width), and 4 inches (height), we calculate the surface area as follows:
2 (14 × 5) = 2 × 70 = 140 square inches (for the top and bottom)2 (14 × 4) = 2 × 56 = 112 square inches (for the front and back)2 (5 × 4) = 2 × 20 = 40 square inches (for the left and right sides)The total surface area is 140 + 112 + 40 = 292 square inches of fabric needed to cover the entire box.
kasabihan sa bibliya
Answers
Umaasa ako na makakatulong ito!
Ryan, Jessica, and Mark each solved this system of equations. All of their answers are different. Find and explain the mistakes. What is the correct answer?
y = 3x + 2
6x – 2y = 10
Ryan’s answer:
I solved by adding the equations. The solution is .
y = 3x + 2 → 3x + y = 2
6x – 2y = 10 → 3x – y = 5
6x = 7
x =
6x – 2y = 10 → 6 – 2y = 10
7 – 2y = 10
–2y = –3
y = -
Jesse’s answer:
I used matrices. The solution is .
Mark’s answer:
I graphed the equations. The lines are parallel and do not intersect, so there is no solution.
Answers
-2y = -6x + 10...reduce by dividing by -2
y = 3x - 5....slope = 3 and y int = -5
y = 3x + 2 ...slope = 3, y int = 2
These lines are parallel. Parallel lines will have the same slope, but different y int's. There is no solution to this because ur lines never intersect.
Mark's answer is correct
6x - 2y = 10
-2y = -6x + 10
reduce by dividing by -2
y = 3x - 5
slope = 3 and y int = -5
y = 3x + 2
slope = 3, y int = 2
These lines are parallel. Parallel lines will have the same slope, but different y integers. There is no solution to this because the lines never intersect.
Mark's answer is correct
Replace ? with a whole number to make the statements true. a. 20 ÷ 4 ? means ? × 4 = 20 b. 2,725 ÷ 5 ? means ? × 5 = 2,725 c. ? ÷ 5 = 0 ABC Preschool spent $1,475 on diapers this year. If the diapers cost $25 per box, how many boxes did they use? Grace, a hairdresser, charges $18 for a haircut and $70 for a perm. She did 36 perms this month. The total amount of money Grace took in was $4,608. How many haircuts did Grace do this month? Mr. and Mrs. Wilson hosted their daughter’s wedding. They paid $575 to rent a banquet hall and $13 per person for a catered dinner. In all, there were 118 people at the wedding. How much did the Wilsons pay for the hall and the food? Use inverse operations to check your answer. Carmel can drive 320 miles on one tank of gas, and one tankful costs $39. How many tanks of gas will she need to drive 2,240 miles, and how much will it cost? Use inverse operations to check your answer.
Answers
2725/5 means 545*5 = 2725
0/5 = 0
==============
25x = 1475
x = 1475/25
x = 59 <== 59 boxes of diapers were bought
==============
18h + 70(36) = 4608
18h + 2520 = 4608
18h = 4608 - 2520
18h = 2088
h = 2088/18
h = 116....she did 116 haircuts
=================
575 + 13(118) = total cost Inverse operations to check...
575 + 1534 = total cost 2109 - 1534 = 575
2109 = total cost 575 = 575 (correct)
=================
320/39 = 2240/x....320 miles to $ 39 = 2240 miles to $ x
cross multiply
(320)(x) = (39)(2240)
320x = 87360
87360/320 = x
273 = x....it would cost $ 273
inverse operations to check....320 * 273 = 87360
87360 = 87360 (correct)
complete the point slope equation of line through (1,-1) and (5,2) use exact numbers
y-(-1)=
Answers
slope = (2 - (-1) / (5 - 1) = 3/4
there will be 2 point slope answers for this..
y - y1 = m(x - x1)
slope(m) = 3/4
(1,-1)...x1 = 1 and y1 = -1
sub
y - (-1) = 3/4(x - 1)
y + 1 = 3/4(x - 1) <=== this is one of them
y - y1 = m(x - x1)
slope(m) = 3/4
(5,2)...x1 = 5 and y1 = 2
sub
y - 2 = 3/4(x - 5) <== here is the other one
The point - slope equation of line passing through points (1, -1) and (5, 2) is (y + 1) = (3/4)(x - 1).
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line.[c] → is the y - intercept.Other possible equations of lines are -
Point - slope form → (y - y₁) = m(x - x₁) Two point - slope form → (y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) Intercept form → x/a + y/b = 1 Normal form → x cos(β) + y sin(β) = LGiven is a line passing through points (1, -1) and (5, 2).
The point slope form of the line is -
(y - y₁) = m(x - x₁)
y - (- 1) = {(2 + 1)/(5 - 1)}(x - 1)
y + 1 = (3/4)(x - 1)
Therefore, the point - slope equation of line passing through points (1, -1) and (5, 2) is -
(y + 1) = (3/4)(x - 1)
To solve more questions on straight lines, visit the link below-
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You decide to start saving up to buy your first home. You find an account that pays 8% interest compounded monthly. If you plan on purchasing your home in ten years, how much must you put into the account to have $50,000 for a down payment?
Answers
A=p (1+r/k)^kt
A down payment 50000
P the amount you must put ?
R interest rate 0.08
K compounded monthly 12
T time 10 years
Solve the formula for p
P=A÷(1+r/k)^kt
P=50,000÷(1+0.08÷12)^(12×10)
p=22,526.17
Sam bought 86 pounds of flour for his bakery. Every day he used the same amount of flour to make bakery items. After 10 days, Sam was left with 25.2 pounds of flour. On average, how many pounds of flour did Sam use each day?
Answers
86-25.2 = 60.8 pounds of flour used
60.8/10 = 6.08 pounds used per day
Answer:
6.08
Step-by-step explanation:
first, i subtracted 86 from 25.2 to get what he used in the 10 days, which was 60.8, then i would divide it by 10 bc of 10 days to get 6.08. Hope this helps!
The next three terms in the pattern 1, 10, 19, 28, 37 are
Answers
To find the next three terms, we need to find the patterns in this sequence. In this case, we see that the first number add 9 to get the second number, the second number add 9 to get the third number, and so on. Now, we can create the formula for this which is n+9 where n is the number before the next number. Here we go:
1
1+9=10
10+9=19
19+9=28
28+9=37
37+9=46
46+9=55
55+9=64. As a result, the next three terms in the pattern 1, 10, 19, 28, 37 are 46,55,64. Hope it help!
Each pack of hot dogs contains 10 hot dogs (no buns), but each pack of hot dog buns contains 8 buns. Phil buys a number of these packs for a barbecue. After the barbecue, Phil finds that he has 4 hot dogs left over. What is the SECOND smallest number of packs of hot dogs he could have bought?
Answers
we might need to find greatest common denomenator?
or we could just do trial and error
hmm
wait a minute
lets do this
d=number of hot dog packs
b=number of hot dog bbuns
the number of hot dogs is 4 more than the number of buns
10d=4+8b
divide both sides by 2 to make it easier
5d=2+4b
one way is to do trial and error
try values of d and find what values work for b (remember, all whole values)
if d=1, no value works for b
if d=2, b=2
that is the smallest value
keep going up
if d=3, no value works for b
if d=4, no value works for b
if d=5, no value works for b
if d=6, b=7
so 6 packs is the answer
The second smallest number of packs of hot dogs that Phil could have bought is three. This gives him 30 hot dogs, and after eating some, he would be left with 4. The number 30 ends with a 0 and when 4 is subtracted from it, it does result in a number ending in 4 (26 in this case).
Explanation:To solve this problem, we need to understand that Phil must have bought a number of hot dog packs where the total number of hot dogs (10 per pack) ends with a 4. This is because after eating some, he had 4 hot dogs leftover. If he bought 1 pack of hot dogs, he'd have 10. This does not work because it doesn't end with 4. However, if Phil bought 2 packs, this would give him 20 hot dogs, which does end with 0.
We need to continue on this pattern, using multiples of 10, until we find the second smallest number that, when 4 is subtracted from it, leaves a number ending in 4. That number is 30, which gives 30 hot dogs. After eating some, he would be left over with 4 dogs, hence he has eaten 26 dogs (30-4=26). This means, the second smallest number of hot dog packs Phil could have bought is three.
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At the movie theatre, you pay a different price depending on your age. Children 5 and under get in for free. Children ages 6 to 18 pay $5. Everyone else pays $8. Write a piecewise function for this situation
Answers
{ 0 x ≤ 5
f(x) = { 5 6 ≤ x < 18
{ 8 x ≥ 18
The brackets should be one big bracket.
modal of 9
10
11
14
19
22
27
29
21
18
11
6
Answers
Plz help me with this math problem
Answers
1/2x =20
Pls help
I need answer in like a minute
Answers
multiply both sides by 2/1 to get x=40
if ya meant like [tex]\frac{1}{2x}=20[/tex]
multiply both sides by x and divide both sides by 20 to get [tex]x=\frac{1}{40}[/tex]
depends which one it is
Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.
Answers
Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.
The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.
by the pythagorean theorem:
[tex]MS= \sqrt{ 7^{2} + 11^{2} }= \sqrt{49+121}= \sqrt{170}= 13 (km)[/tex]
Answer: 13 km
A company designs a logo using a kite figure around the letter t.
The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo ?
Answers
answer
B. 96 sq. cm
Answer:
it is indeed B.96
Step-by-step explanation:
A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road, (x2 + 3) miles downhill, and (x − 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?
Answers
jenny borrowed $500 for 5 years at 4% interest compounded annually. what is the total amount she will have paid when she pays off the loan?
Answers
[tex]A=P(1+ \frac{r}{n})^{nt} [/tex]
Where P is the starting amount (500$), r is the rate of interest (0.04), n is the number of times the interest is compounded per unit (1 per year), and t is the amount of time it is compounded (5 years).
Now, plug it into the formula:
[tex]A=500(1+ \frac{0.04}{1})^{5}[/tex]
Do the math, and your answer is she must pay 608.32$ when she pays her debts.
divide
27,092÷45=
a.646 r22
b.624 r12
c.620 r2
d.602 r2
Answers
What number should the fraction 15/3 be multiplied by in order to equal one ?
Answers
The mixed number fraction 15/3 should be multiplied by the fraction 3/15 to equal the required number 1.
Feel free to ask me more questions on my profile. I am more than happy to help. Don't forget Brainliest! :)
nr=1 the product of a number and its reciprocal is one. In this case:
(15/3)r=1 multiply both sides by 3
15r=3 divide both sides by 15
r=3/15
r=1/5
45.5 meters in 13 seconds
Answers
to get you 3.5
i hope i helped
Solve the equation ax + 1 = bx for 'x'. Please be sure to include all steps.
Answers
ax + 1 = bx
ax - bx = -1
x(a-b) = -1
x = -1 /(a-b)
1 = bx - ax <-- Subtract ax both each side
1 = x(b - a)
1/(b - a) = x <-- Divide both sides by b - a
So, x is equal to 1/(b - a).
Does the equation represent a direct variation? If so, find the constant of variation. 2x - 4y = 0
Answers
2x-4y=0 subtract 2x from both sides
-4y=-2x divide both sides by -4
y=x/2 or to be clear:
y=(1/2)x
So there is a constant of variation k=1/2 of the form y=kx, so this equation is a direct variation.
*note, it is called a direct variation because as the independent variable increases/decreases, the independent variable increases/decreases by the same factor...
Janet's Junk Shop is having its annual sale. Matt wants to buy a mixer that originally sold for $28.62 and is now on sale for off. Matt also has a coupon for an additional 15% off the discounted price.
How much will Matt pay for the mixer?
Answers
[tex]FinalPrice =[/tex]
[tex](Original Price \times(\frac{100\% - Discount}{100\%}))\times(\frac{100\% - Discount_2}{100\%}) =[/tex]
[tex]\big(\$28.62\times(\frac{100\% - 25\%}{100\%})\big) \times(\frac{100\% - 15\%}{100\%}) = [/tex]
[tex]\big(\$28.62\times(\frac{3}{4})\big) \times(\frac{17}{20}) \approx \$18.25[/tex]
Matt will pay [tex]\$18.25[/tex] for the mixer