Answer:
x=-3
Step-by-step explanation:
first multiply them out: 5x+20=2x+11
then subtract both sides by 2x: 3x+20=11
subtract both sides by 20: 3x=-9
divide both sides by 3: x=-3
Answer:
x = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5(x + 4) = -2(-4 - x) + 3
Step 2: Solve for x
Distribute: 5x + 20 = 8 + 2x + 3Combine like terms: 5x + 20 = 2x + 11Subtract 2x on both sides: 3x + 20 = 11Subtract 20 on both sides: 3x = -9Divide 3 on both sides: x = -3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-3 + 4) = -2(-4 - -3) + 3Simplify: 5(-3 + 4) = -2(-4 + 3) + 3Add: 5(1) = -2(-1) + 3Multiply: 5 = 2 + 3Add: 5 = 5Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
HELPPPPPPPP
4 Renting video games from Store S costs $2.50 per game plus a monthly fee of
$5.00. Renting video games from Store T costs $5.00 per game with no monthly
fee. The monthly cost to rent video games depends on the number of video
games, v, rented. Which equation represents the situation when the monthly cost
at Store S is equal to the monthly cost at Store T?
F 2.5v + 5 = 5v
G 2.5 + 5v = 5v
H 7.5v = 5v
J 7.5v = 10v
Answer:
it is c
Step-by-step explanation:
because I said it is
Simplify -7 1/8 - 9 1/2
A. - 2 3/8
B. - 16 5/8
C. 16 5/8
D. 2 3/8
Answer:
d
Step-by-step explanation:
Lucy can spend no more than $125 on props for a school play. She has already phurchased costume fabrics that cost $49. Write and solve an inequality to show how much more she spend on props.
Answer: 49+x≤ 125, where x = Amount she can spend more on props.
Now she can spend no more than $76 on props.
Step-by-step explanation:
Given: Lucy can spend no more than $125 on props for a school play.
I.e. Total money she can spend ≤ $ 125
She already purchased costume fabrics that cost $49.
Let x = Amount she can spend more on props.
Required inequality: 49+x≤ 125
Subtract 49 from both sides, we get
x≤ 76
Hence, now she can spend no more than $76 on props.
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?
Answer: 0.95
Step-by-step explanation: 1.0 and 10% is 0.10 so 5% is 0.5 and if u take 0.5 away from 1.0 it’s 0.95
A boat rental company recommends a boat that can go 402 miles on LaTeX: \frac{23}{2}23 2 gallons of gasoline. However there are other boats available that have better fuel efficiency. Their rates miles to gallons are listed. Select the rates that have better miles per gallon than the recommended boat.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Distance = 402\ miles[/tex]
[tex]Gasoline = 23/2\ gallons[/tex]
Required
Determine boats with better rates
This question requires options which are missing. However, I'll give an explanation on how to determine the right answers.
First, determine the rate of the given boat by dividing distance by amount of gasoline.
[tex]Rate = Distance/Gasoline[/tex]
[tex]Rate = 402\ miles / \frac{23}{2}\ gallons[/tex]
[tex]Rate = 402\ miles * \frac{2}{23\ gallons}[/tex]
[tex]Rate = \frac{402\ miles * 2}{23\ gallons}[/tex]
[tex]Rate = \frac{804\ miles}{23\ gallons}[/tex]
[tex]Rate = 34.96\ miles/gallon[/tex]
For the list of mission options, calculate the rate using the same formula used above... then compare the results.
Take for instance, we have a boat with:
[tex]Distance = 500\ miles[/tex]
[tex]Gasoline = 10\ gallons[/tex]
Rate would be:
[tex]Rate = 500\ miles/10\ gallons[/tex]
[tex]Rate = 50\ miles/gallons[/tex]
By comparing these rates, we have that:
[tex]50 > 34.96[/tex]
So, this new boat has a better rate than the given boat.
Apply this on the missing options
Can somebody help answer all these right plz!
(WILL MARK BRAINLIEST)
Thanks!
Answer:
22.8, 28, 3, 12.2, 31.5, 6
Step-by-step explanation:
15.
17-(4.4/2)+8
17-(2.2)+8
25-2.2
22.8
16.
(7^2-7)/3*2
(49-7)/3*2
42/3*2
14*2
28
17.
14/2-16/4
7-4
3
18.
3.2+3*6/2
3.2+18/2
3.2+9
12.2
19.
7*.3*(8.1+6.9)
2.1*(15)
31.5
20.
11-(7.6+7.4)/5
11-(15)/3
11-5
6
Hope it helped!
Answer:
15.) 22.8
16.) 28
17.) 3
18.) 12.2
19.) 31.5
20.) 8
Sorry for being a little slow. I had to calculate each one :)
which of these situations does not have quantities that combine to make 0.
A. In the morning, the temperature rises 30 degrees. in the evening, it falls by 30 degrees
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
C. A dolphin swims 20 feet straight down from the surface. it then rise 20 feet to reture to the surface
D. A hot air balloon rises 40 feet. it then drops 40 feet to the ground
Hurry please
Answer:
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
Step-by-step explanation:
also the person who keeps deleting all my answers i hope u break your back
Hunter is trying to save $600 go to summer camp. He already has $150. If he earns $7.50 per hour working at a grocery store, how many hours will he have to work?
Answer:
60 hours
Step-by-step explanation:
simple,multiply 7.50 and 60 =450 plus 150 =600
How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
15.5
123.75
6.45
108.75
Answer:
15.5 hours
Step-by-step explanation:
cause i know
Jim is baking chocolate chip muffins. He has a total of 7 1/3 cups of chocolate chips. If each batch of muffins uses 2/3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake
Answer:
16
Step-by-step explanation:
The first step to answering a question like this is to turn it into an improper fraction so 7 1/3=24/3. Then divide the numerator by the denominator so 24 divided by 3=8 so 8=1/3. Their is 2/3 so do 8 times 2 which equals 16
A construction crew has just finished building a road. The crew worked for 2 2/9 days. If they built 2 1/5 kilometers of road each day, what is the total length of road they built.
write your answer as a mixed number in simplest form.
Answer:
Step-by-step explanation:
2 2/9 * 2 1/5
Change to improper fractions
20 11
---- x ------
9 5
220 / 45 Divide top and bottom by 5 (you could have done this first)
44/ 9
4 8/9
The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation represent the number of times feliz can drive to or from work with the gas in his tank answers are either 1/10 or 7 or 5/72 or 10
Answer:
the answer is [tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{12}=10[/tex]
Step-by-step explanation:
A rectangular room is 19.7 m by 7.0 m. What is the side length of a square room with the same area as the room?
Answer:
68.95
Step-by-step explanation:
The length of a rectangle is 10 in more than 5 times the width. The perimeter is
500 in. What is the area?
P=2W+2L
Area=L*W
Area =
Answer:
50
Explanation
Area=L x w
Area = 10 x 5
50
The Marquez family drove 191.8 miles for a weekend getaway This took them 2.8 hours. How many miles per hour did the Marquez family average?
Answer:
68.5 mph
Step-by-step explanation:
191.8 ÷ 2.8 = 68.5
Can somebody help pleaseIf a number is a whole number, then it cannot be an
A. irrational number
B. a natural number
C. an integer
D. national number
Answer:
the answer is A - An irrational number
Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below.
1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b.
2. Multiply by 5: a = 50 minus 10 b.
Which statement about Roman’s work is true?
I need a quick answer pls!
Answer:
In step 2, he needed to divide both sides of the equation by 5
Step-by-step explanation:
I'm very positive about this
Hope this helps!!!!!!
Answer:
step 2
Step-by-step explanation:
A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.
Answer: Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
Step-by-step explanation:
Formula for simple interest :
I = PRT,
P= Principal, R =rate , T= time
Let x = amount borrowed at 9%.
y = amount borrowed at 7%.
z = amount borrowed at 10%.
i.e. x+y+z= 50000 (i) [Given : amount invested = 50000]
Interest on x = x (0.09)(1) [as P=x, T=1 year, r= 0.09]
= 0.09x
Similarly
Interest on y = y(0.07)(1) = 0.07y
Interest on z = z(0.1)(1)=0.1z
Total interest = 0.09x+0.07y+0.1z = 4340 (ii)
Also, y=2x [given] (iii)
Put y=2x in (i) and (ii), we get
x+2x+z= 50000 ⇒ 3x+z=50000 (iv)
0.09x+0.07(2x)+0.1z=4340 ⇒ 0.09x+0.14x+0.1z=4340
⇒ 0.23x+0.1z=4340 (v)
Multiply 10 on both sides of (v)
2.3x+z=43400 (vi)
Eliminate (vi) from (v)
0.7x=6600
⇒ x= 9,428.57
From (iii), y= 2(9428.57) =18,857.14
From (vi),
2.3(9428.57)+z=43400
⇒ 21685.71+z=43400
⇒ z= 43400-21685.71
⇒ z=21714.29
Hence, Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
What is the ordered pair for point A
Answer:
(-1.5, 2.5)
Step-by-step explanation:
look at x-value and y-value
find difference between -1 and -2 which is 0.5 same goes with y-axia
The weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. Of each puppy gained 2.1 ounces, how much would the puppies weigh?
Answer:
Puppy 1 = 8.6 ounces
Puppy 2 = 9.4 ounces
Puppy 3 = 8.5 ounces
Step-by-step explanation:
Weights of 3 puppies at one week old were
Puppy 1 = 6.5 ounces
Puppy 2 = 7.3 ounces
Puppy 3 = 6.4 ounces
Each puppy gained 2.1 ounces
Puppy 1 = 6.5 ounces + 2.1 ounces
Puppy 2 = 7.3 ounces + 2.1 ounces
Puppy 3 = 6.4 ounces + 2.1 ounces
New weight
Puppy 1 = 8.6 ounces
Puppy 2 = 9.4 ounces
Puppy 3 = 8.5 ounces
If the puppies each gained 2.1 ounces, the new weight is given above
What is the solution to n/4 = -12.4?
n = 3.1
n = -3.1
n = 49.6
n = -49.6
Answer:
n= -49.6
Step-by-step explanation:
49.6 i did this test and got it right
El peso promedio de 500 árboles de un vivero es de 70kg y la desviación estándar de 3kg. Suponiendo que los pesos se distribuyen normalmente, encontrar CUANTOS arboles pesan: a) Entre 60 y 75 kg b) Más de 90kg c) Menos de 64kg. D) 64 Kg
Answer:
Step-by-step explanation:
Resolvemos usando la fórmula de puntuación z
z = (x-μ) / σ, donde
x es la puntuación bruta
μ es la media poblacional = 70 kg
σ es la desviación estándar de la población = 3 kg
a) Entre 60 y 75 kg
Para x= 60kg
z = 60 - 70/3 kg
=-3.33333
Valor de probabilidad de la tabla Z:
P(x = 60) = 0.00042906
Para x = 75 kg
z = 75 - 70/3 kg
= 1.66667
Valor de probabilidad de la tabla Z:
P(x = 75) = 0.95221
P(x = 75) - P(60)
0.95221 - 0.00042906
b) Más de 90 kg
Para x> 90 kg
z = 90 - 70/3
= 6.66667
Valor de probabilidad de la tabla Z:
P (x <90) = 1
P (x> 90) = 1 - P (x <90) = 0
Número de árboles = 500
Por tanto, 500 × 0 = 0 árboles
c) Menos de 64 kg
x <64 kg
z = 64 - 70/3 kg
= -2
Valor de probabilidad de Z-Table:
P (x <64) = 0,02275
Hay 500 arboles
= 500 × 0.02275
= 11.375 árboles
D) 64 kilogramos
x = 64 kg
z = 64 - 70/3 kg
= -2
Valor de probabilidad de Z-Table:
P (x = 64) = 0,02275
Hay 500 arboles
= 500 × 0.02275
= 11.375 árboles
help plz its about proportionality
Answer:7
Step-by-step explanation:no need to explain
What is 9 - 3 ÷ 1/3 + 1 Please show work
Answer:
answer
Step-by-step explanation:
9-3 = 6
6 divided by 1/3 is (3x6) = 18
18 + 1 = 19
Answer:
the answer is 19
Step-by-step explanation:
In a certain town there were 458 robberies last year. This year the number of robberies has gone down 14%. How many robberies were there this year, to the nearest whole number?
Answer:
64 robberies
Step-by-step explanation:
45.8 is 10%
4.58 is 1%
4.58 times 4 is 18.32
45.8 plus 18.32 is 64.18 or just 64
Solve the following system of equations: (2 points) 5x + y = 9 3x + 2y = 4 a (−2, 5) b (1, 4) c (2, −1) d (4, −4)
The 2020 Election is shaping up to be the largest one yet! They estimate that there are 240,000,000 eligible voters in the United States this year. So far, 70,000,000 have voted, and experts estimate that upwards of 150,000,000 people will vote in total this year. What percentage of eligible voters will participate in this year's election?
Answer:
Percentage = 91.67%
Step-by-step explanation:
Number of eligible voters = 240,000,000
Number of voters so far = 70,000,000
Number of estimated voters = 150,000,000
Total number of participants (voters) = 70,000,000 + 150,000,000 = 220,000,000
To find the percentage;
[tex] Percentage = \frac {220,000,000}{240,000,000} * 100 [/tex]
[tex] Percentage = \frac {11}{12} * 100 [/tex]
[tex] Percentage = 0.9167 * 100 [/tex]
Percentage = 91.67%
Therefore, the percentage of eligible voters that will participate in this year's election is 91.67%
Answer:
91.67%
Step-by-step explanation:
SoMebOdY oNcE
ToLd mE iTS
YOur pOweR
ToDo
rOKi-
For her birthday, Kendra received a gift card in the mail from her grandparents. The gift card was worth $50. Kendra thought, since she had just received other gifts for her birthday, she would wait a while to spend the gift card. Unfortunately, Kendra forgot all about the gift card, and the card loses $5 every month after its date of purchase if it has not been used. If Kendra forgot the card for three months, she lost $______. 15 9 12 10
Answer:
She lost $15 for three months.
Step-by-step explanation:
f (x) = 2x^2 - 4x + 1
Answer:
tinanong ko rin po yang tanong nyo at ito po ang sagot nila100 POINTS IF RIGHT AND BRAINLESIT!!!
Answer: D
Step-by-step explanation: YAY POINTS ITS RIGHT I DID IT ON EDGE
Answer:
The correct answer would be C
explanation:
They are not parallel