Answer:
x = 2
Step-by-step explanation:
Solve for x:
8 x + 4 (x - 1) = 15 x - 10
Hint: | Distribute 4 over x - 1.
4 (x - 1) = 4 x - 4:
4 x - 4 + 8 x = 15 x - 10
Hint: | Group like terms in 8 x + 4 x - 4.
Grouping like terms, 8 x + 4 x - 4 = (8 x + 4 x) - 4:
(8 x + 4 x) - 4 = 15 x - 10
Hint: | Add like terms in 8 x + 4 x.
8 x + 4 x = 12 x:
12 x - 4 = 15 x - 10
Hint: | Move terms with x to the left hand side.
Subtract 15 x from both sides:
(12 x - 15 x) - 4 = (15 x - 15 x) - 10
Hint: | Combine like terms in 12 x - 15 x.
12 x - 15 x = -3 x:
-3 x - 4 = (15 x - 15 x) - 10
Hint: | Look for the difference of two identical terms.
15 x - 15 x = 0:
-3 x - 4 = -10
Hint: | Isolate terms with x to the left hand side.
Add 4 to both sides:
(4 - 4) - 3 x = 4 - 10
Hint: | Look for the difference of two identical terms.
4 - 4 = 0:
-3 x = 4 - 10
Hint: | Evaluate 4 - 10.
4 - 10 = -6:
-3 x = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -3 x = -6 by -3:
(-3 x)/(-3) = (-6)/(-3)
Hint: | Any nonzero number divided by itself is one.
(-3)/(-3) = 1:
x = (-6)/(-3)
Hint: | Reduce (-6)/(-3) to lowest terms. Start by finding the GCD of -6 and -3.
The gcd of -6 and -3 is -3, so (-6)/(-3) = (-3×2)/(-3×1) = (-3)/(-3)×2 = 2:
Answer: x = 2
Answer:
x=2
Step-by-step explanation:
8x+4x-4=15x-10
____________
12x-4=15x-10
____________
12x-15x-4=-10
___________
-3x=-10+4
___________
-3x=-6
___________
x=2
A tree is planted and is expected to grow according to the model below, where t is the number of years since the tree was planted and H is the height of the tree, in feet. = 3 + 5 0 ≤ ≤ 100 How many years after the tree is planted does the model predict the height of 65 feet?
Answer:
20 years
Step-by-step explanation:
Given
[tex]H = 3t + 5[/tex]
[tex]0 \leq H \leq 100[/tex]
Required
Solve for t when H = 65ft
[tex]H = 3t + 5[/tex]
Substitute 65 for H
[tex]65 = 3t + 5[/tex]
Make 3t the subject
[tex]3t = 65 - 5[/tex]
[tex]3t = 60[/tex]
Solve for t
[tex]t = 60/3[/tex]
[tex]t = 20[/tex]
This implies that the duration is 20 years
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 :)
Evaluate if x = 2.5 and y = –14.6.
–x – |y|
1. -17.1
2. -12.1
3. 12.1
4. 17.1
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
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
Amanda paid $59.00 for 8 pairs of shorts. At this rate, how much will she pay for 14 pairs of shorts? Round to the nearest hundredth (cent). Example: 5.645 rounds to 5.65.
Answer:
The amount of 14 pairs of shorts is $ 103.25
Step-by-step explanation:
Given;
amount paid for 8 pairs of short, = $59.00
Then, a single pair short will cost ; $59.00 / 8 = $7.375
Buying at this rate, Amanda will pay the following amonut for 14 pairs.
The cost of 14 pairs of short is given as;
= 14 x $7.375
= $ 103.25
Therefore, the amount of 14 pairs of shorts is $ 103.25
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:
GIVING BRAINIEST FOR CORRECT ANSWER
Answer:
Yes
Step-by-step explanation:
When you divide all of them they all equal the same thing
Amanda makes 3 biscuits in 2 minutes how many would she make in 2 hours
Answer:
16
Step-by-step explanation: I dunno I just guessed. lol
l m a o lol
The area of Canada is approximately 1×10^7 square kilometers, and the area of Mexico is approximately 2×10^6 square kilometers. The area of Canada is approximately how many times the area of Mexico?
Answer:
5 times
Step-by-step explanation:
Given that,
The area of Canada is approximately 1×10⁷ square kilometers, and the area of Mexico is approximately 2×10⁶ square kilometers.
We need to find the area of Canada is approximately how many times the area of Mexico.
Dividing both areas as follows :
[tex]\dfrac{A_c}{A_m}=\dfrac{10^7}{2\times 10^6}\\\\\dfrac{A_c}{A_m}=5\\\\A_c=5A_m[/tex]
So, the area of Canada is approximately 5 times the area of Mexico.
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:
a line with a slope of -3 that passes through the point (-2, 6)
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
f (x) = 2x^2 - 4x + 1
Answer:
tinanong ko rin po yang tanong nyo at ito po ang sagot nilaWILL MARK BRAINLIEST IF CORRECT
Answer:
The answer is the last answer choice (D).
Step-by-step explanation:
f(x) = [tex]x^{3} +2x^{2}[/tex]
When you factor, you get the values 0 and -2, 0 have a multiplicity of 2 and -2 having a multiplicity of 1.
Answer:
Step-by-step explanation:
Heeyyyyyy hope that person that answered that was right!!!!
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
PLEASE HELP I'M QUITE SURE WITH THIS QUESTION
The answer is ( D ), y ≤ 6
The range begins from minimum value to maximum value.
However, in the graph. There's no minimum value as it's heading toward negative infinity.
So we use y ≤ 6 instead.
So the clear answer is y ≤ 6 or ( D )
I need help with this problem on the math test, It's due TONIGHT! Plz help me with my math
Answer:
the first problem is - 85 and you continue from there
We have the price of a senior ticket is $4 and the price of a child ticket is $7
Step-by-step explanation:
We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.
We have from day 1:
A: 3s + 9c = 75
And from day 2:
B: 8s + 5c = 67
Now we can rewrite A as:
A: 24s + 72c = 600
And can rewrite B as:
B: 24s + 15c = 201
Now A-B can be written as:
A-B: 57c = 399
So c = 7
Now substituting this back into A we get:
A: 3s + 63 = 75
A: 3s = 12
So s = 4
We have the price of a senior ticket is $4 and the price of a child ticket is $7
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
100 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
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
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:
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)
Among all pairs of numbers whose sum is 100, find a pair whose product is as large as
possible. (Hint: express the product as a function of x)
Answer:
99+1
Step-by-step explanation:
Answer:
28936
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
Help Me ASAP PLEASE I NEED IT NOW I WILL GIVE BRAINLIEST
Answer:
Vertex (2,2)
y- Intercept is 10
On problems like this, use Desmos Graphing. It helps a lot.
Answer:
Step-by-step explanation:
the base of the vertex is going to be on 2,2, with a y intercept of 10
Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice! Please!
Answer:
H
Step-by-step explanation:
Once graphed, the line passes through (-4,2) while the others do not
SOLVE THE INEQUALITY
-2x < 10
Answer:
x>-5
Step-by-step explanation:
divide by -2, but flip the sign because it's negative
x>-5
Answer:
X>-5
Step-by-step explanation:
[tex] - 2x < 10 \\ [/tex]
Multiply by (-1) to get rid of - next to x, by doing so the "<" changes into ">"
[tex]2x > - 10 \\ x >- 10 \div 2 \\ x > - 5[/tex]
what are the values for x and y?