Sample answer:
Substitute the value for x into the original equation. Simplify using order of operations. If the statement is true, Jason’s solution for x is correct. If the statement is false, Jason’s solution for x is incorrect.Step-by-step explanation: (My answer)
1) Subtract 8.5 and 3.5, that equals 12.
[tex]8.5x - 3.5x = -78[/tex]
2) Multiply 78 and 12, that equals 6.5 .
[tex]\frac{12x}{12} = \frac{78}{12}[/tex]
3) Check your answer.
[tex]-8.5 (6.5) -3.5 (6.5) = -78[/tex]
Multiply 8.5 and 6.5, that equals 55.25. Next, multiply 3.5 and 6.5, that equals 22.75.Finally, you will need to subtract your answers. Subtract both 55.25 and 22.75.Once you've done that, the answer you should get is 78.
78 is equal to 78, that is your final answer and it is correct.
Which of the following is NOT a term used to describe slope?
Unit Rate
Constant of Proportionality
Change in X over Change in Y
Rate of Change
Answer:
Change in X over Change in Y
Step-by-step explanation:
The slope is represented by the change in Y over the change in X. Therefore, the third answer is not correct because the proportion is incorrect.
Find the distance between (4, -1) and (-2, -1). Round answer to the nearest tenth. *
Answer:
6
Step-by-step explanation:
You substitute the points into the distance formula. There aren't decimals in this answer, so I don't think you need to round to the nearest tenth. You can also check by plotting these points down on a graph.
(4, -1) (-2, -1)
The y coordinates are the same, you just need to count from -2 to 4. There are 2 steps before 0 and 4 steps after 0. So 2 + 4 is 6.
===========================================
Work Shown:
[tex]\text{Distance Formula}\\\\d = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}\\\\d = \sqrt{(4-(-2))^2 + (-1-(-1))^2}\\\\d = \sqrt{(4+2)^2 + (-1+1)^2}\\\\d = \sqrt{(6)^2 + (0)^2}\\\\d = \sqrt{36}\\\\d = 6\\\\[/tex]
This value is exact. No rounding is needed.
-------------
A shortcut is to subtract the x coordinates and apply absolute value
So either |x1-x2| = |4-(-2)| = |4+2| = |6| = 6
Or |x2-x1| = |-2-4| = |-6| = 6
This shortcut only works because the y coordinates the same for both points.
On a graph, you can plot the two points and count the spaces between them. You should count out 6 spaces.
The measures of ∠x and ∠y are equal. X is 3(m+2) and Y is 5m-58. Which is the value of m? A m=8 B m=26 C m=30 D m=32
Answer with step-by-step explanation:
M = 32
Step 1: Simplify both sides of the equation.
3(m+2)=5m−58
(3)(m)+(3)(2)=5m+−58(Distribute)
3m+6=5m+−58
3m+6=5m−58
Step 2: Subtract 5m from both sides.
3m+6−5m=5m−58−5m
−2m+6=−58
Step 3: Subtract 6 from both sides.
−2m+6−6=−58−6
−2m=−64
Step 4: Divide both sides by -2.
−2m/−2=−64/−2
m=32
Hope this helped! (brainliest please)
PLEASE HELP ILL GIVE 37 POINTS!!!!!!! Instructions: Complete each question by choosing or typing in the best answer.
1)
What is the sum of 14 and the opposite of 12?
A) -26
B) -2
C) 2
D) 26
2) Determine the distance between -7 and 7.
A) -14 units
B) 0 units
C) 7 units
D) 14 units
3)
A football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many yards do they need to gain on the next play to get back to their original position?
A) 4
B) 6
C) 8
D) 12
5)
On Monday morning the temperature was 38°F, but by the afternoon the temperature had risen 22°F. On Tuesday morning the temperature had dropped 27°F since Monday afternoon, but then rose 10°F by the noon. How many degrees above or below 38°F is the temperature on Tuesday at noon?
A) 5°F below
B) 5°F above
C) 12°F below
D) 12°F above
Answer:
1 - C)2 - D)3 - A)5 - B)Step-by-step explanation:
1) =========================
14 + (-12) = 14 - 12 = 2Option C)2) =========================
7 - (-7) = 7 + 7 = 14Option D)3) =========================
8 + (-12) = 8 - 12 = - 4- 4 + 4 = 0Option A)5) =========================
22 - 27 + 10 = 5Option B)Answer:
1.) C
2.) C
3.) A
5.) B
Step by-step explanation:
1.) because 14 is positive and the opposite of 12 is -12. So 14+-12=2!
2.) to get to 7 from -7 you would have to take 7 units to get there.
3.)Given that a football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards.we are to find the number of yards needed to gain on the next play to get back to their original position.Let, x be the number of yards that the team had originally.On the next play, the team lost 12 yards, let 'k' be the number of yards needed to gain on the next play to get back to their original position.Thus, the number of yards needed to gain on the next play to get back to their original position is 4.
5.) We have been given that on Monday morning the temperature was 38°F, but by the afternoon the temperature had risen 22°F. We are also told that on Tuesday morning the temperature had dropped 27°F since Monday afternoon.Since the temperature rose by the Tuesday noon, so temperature by Tuesday noon will be 10 degrees greater than temperature by Tuesday morning.To find the number of degrees temperature is above or below 38°F on Tuesday at noon we will subtract 38°F from the temperature on Tuesday at noon. Since the difference between temperature is positive, therefore, the temperature on Tuesday at noon was 5 above .
Hoped this helped!
Simplify the expression (7a5b6)4 . Please help
Answer:
28a 20b 24
Step-by-step explanation:
Answer:
28a20b24
Step-by-step explanation:
7(4)=28a
5(4)=20b
6(4)=24
so you put it all together which is: 28a20b24
What is 15% of 208.60 dollars
Answer:
the answer is 31.29
Step-by-step explanation:
Answer:
31.9 dollars
Step-by-step explanation:
15% of 208.60
= 15/100 x 208.60
= 3190/100
= 31.9
I NEED HELP ASAP IM TIMED... picture connected!
Which is the equation of the function?
A.) f(x) = 3|x| + 1
B.) f(x) = 3|x – 1|
C.) f(x) = 1/3|x| + 1
D.) f(x) = 1/3 |x– 1|
Answer:
d
Step-by-step explanation:
Arrange The Steps Below To Solve For X.
Answer:
Attached image
Step-by-step explanation:
The first step is to line it up in the Pythagorean theorem, then you want to move the [tex]6^{2}[/tex] to the other side of the equation via subtraction from both sides in order to isolate the [tex]x^2[/tex]. After that, you'll end up with [tex]x^{2} =64[/tex] then you'll want to square root both sides and end with [tex]x=8[/tex].
Mrs.Reynolds is picking up 17 playground balls after recess and she wants to put the same number of balls into each ball bin . What are the different ways she could group the balls
What is the ordered pair representing the y intercept of the line containing he points (4,8) and (2, -4)?
Answer:
(0,-16)
Step-by-step explanation:
A group of students went on a field trip there were three boys for every four girls in the group if they were 20 girls how many students in All went on the field trip
Answer:
35 students total
Step-by-step explanation:
if there is 20 girls and 3 boys for every 4 girls, all you need to do is 20/4=5, then do 5*3=15, there is 15 boys and 20 girls, so do 15+20=35, or at least i think
How many solutions exist for the system of equations graphed below?
Sandy purchased a dining room set for $1,140 using a 12-month deferred payment plan with an interest rate of 26.78%. She did not make any payments during the deferment period. What will the total cost of the dining room set be if she must pay off the dining room set within two years after the deferment period? (2 points) a $1,140.00 b $1,485.70 c $1,935.12 d $2,902.68
Answer: C.) $1,935.12
Step-by-step explanation:
Using the deferred annuity calculator :
Principal amount = 1140
Interest (r) = 26.78% = 0.2678
Period of payment = 2 years, compounded monthly, n = 24
Using the deferred annuity calculator ; Total balance = $1936.24
Hence, the closest cost in the option is $1,935.12
Two families paid a total of $44.00 to see a movie. Each adult ticket cost $8.00. If there were 3 adults and 4 children, how much did each childs ticket cost?
Answer:
$5
Step-by-step explanation:
You will multiply $8 by 3 and subtract 44 by that number. You will then divide that number by 4.
Answer:
$5 each
Step-by-step explanation:
total of $44.00
3 adults * $8.00 = $24
$44.00 - $24.00 = $20
$20 * 4 children = $5 each
please help, almost finished with math
Answer:
i think it is A
Step-by-step explanation:
hope this helped!
p.s it would be cool if you give me brainliest.
Which equation does NOT represent a function?
O A. Y= 3x^2– 5
O B. x = y^2– 9
O C. Y = 12
O D. 3x + 4y = 6
20 POINTS AND MARKED BRAINLYEST The steps below show the solution to the equation 3( x - 2 ) = 2 ( x - 3 ) Order the reason for the steps
(PS: The options are
Distributive property
Add and Subtract
Multiply
Addition and subtraction properties of inequality) The choices are the same for every equation EACH ANSWER IS DIFFERENT
1. Distributive property
2. Multiply
3. Addition and subtraction property of inequalities
4. Add and subtract
In 2010, Joe bought 200 shares in the Nikon corporation for $22.07 per share. In 2016 he sold the shares for $15.11each.
a. What was Joe's capital loss?
b. Express Joe's capital loss as a percent, rounded to the nearest percent.
Answer: a. $1392
b. 31.5%
Step-by-step explanation:
a. What was Joe's capital loss?
Cost price = $22.07 × 200 = $4414
Selling price = $15.11 × 200 = $3022
Capital loss = $3022 - $4414
= -$1392
b. Express Joe's capital loss as a percent, rounded to the nearest percent.
= Capital loss/Cost price × 100
= 1392/4414 × 100
= 31.5%
Answer:
a. $1392
b. 31.5%
Step-by-step explanation:
a. What was Joe's capital loss?
Cost price = $22.07 × 200 = $4414
Selling price = $15.11 × 200 = $3022
Capital loss = $3022 - $4414
= -$1392
b. Express Joe's capital loss as a percent, rounded to the nearest percent.
= Capital loss/Cost price × 100
= 1392/4414 × 100
= 31.5%
HURRY !!!
Translate each expression or equation into a verbal phrase.
21) 2 (5+t) = 8
10. A student solves the following problem:
Problem:
2 (x-3) + 3x = 19
2x - 6 + 3x = 19
(2x + 3x) - 6 = 19
5x - 6 - 19
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
5x - 6+ 6 = 19+ 6
5x = 25
X = 5
What property justifies step 4?
a. Commutative Property of Addition
c. Multiplication Property of Equality
b. Addition Property of Equality
d. Substitution
Answer:
Step-by-step explanation:
A.
Option A is correct. The property that justifies step 4 based on the calculation is the Commutative property of addition.
Equations are expressions separated by an equal sign.
Given the equation:
2(x-3) + 3x = 19
Expand the parenthesis using the distributive law
2x - 2(3) + 3x = 19
2x - 6 + 3x = 19
Collect the like terms
2x + 3x -6 = 19
Step 4
Since 2x+3x = 3x+2x = 5x (according to the commutative law), the expression becomes:
5x-6 = 19
Step 5
Add 6 to both sides
5x-6+6 = 19+6
5x = 25
x = 25/5
x = 5
Hence the property that justifies step 4 based on the calculation is the Commutative property of addition.
Learn more here: https://brainly.com/question/17320157
what will be the coordates of n after a 90 degree counter clockwise rotation around the origin
Olivia bought a yogurt and two bagels for $2.45. The yogurt was ninety-five cents. How much is one bagel?
Answer:
.28 cents
Step-by-step explanation:
Write the equation of the line that passes through the given point and has the given slope. (-2,-11) slope=
4
Answer:
y = 4x - 19
Step-by-step explanation:
Find the y-intercept
y = mx + b
-11 = 4 * -2 + b
-11 = -8 + b
-19 = b
Now, rewrite the equation
y = 4x - 19
Please let me know if I got something wrong!
can someone help me with this??
please help urgent easy 8th grade math
Answer:
No Solution
Step-by-step explanation:
8x-3(1+6x) -2>5(1+2x)
-10x-5>-5-10x
(Add 5 to both sides)
-10>-10x
(Add 10x to both sides)
-10x+10x>-10x+10x
Therefore , this equation has no solutions.
Answer:
-1=x
Step-by-step explanation
8x-3(1+6x)-2> 5(1+2x)
8x-3(7x)-2>5(3x)
8x-21x-2>15x
13x-2>15x
-13 -13
-2 2x
2 2
-1 x
Bella works at the Blue River Cabin Resort, which has 220 rooms. Each room is available at a price of $79 per night Bella uses the function R(x) -79x to calculate the resort's nightly revenue, where R(2) represents
the revenue and represents the number of rooms booked
Answer:
R(x) is your answer
Step-by-step explanation:
Four different stores have the same digital camera on sale. The original price and discounts offered by each store are
listed below. Rank the stores from the cheapest to most expensive sale price of the camera.
Store A: price $99.99 and discount of 15%
Store B: price $95.99 and discount of 12%
Store C: price $90.99 and discount of 10%
Store D: price $89.99 and successive discounts of 5% and 5%
a. A, B, C.D
b. A, B, D, C
C. D. A, B, C
d. D, C,B,A
Answer:
should be "d" though i haven't calculated it all exactly
Step-by-step explanation:
A : 85
B : 83
C : 82
D : 81
Answer:
yes it is d
believe me
i calculated
Solve the following.................................................................................
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
7÷[tex]\frac{1}{3}[/tex]
7*[tex]\frac{3}{1}[/tex]
21
answer it and I'll give brainliest and 5 stars
Answer:
1 over x 2
Step-by-step explanation:
kdbxciu ejgkvbsdv evdjhcxv
Can someone please help me with money? I'm only 8 years old and I'm embarrassed
how do you spend $8.50 in cash? How do I know if I have the right amount?
Answer:
Umm, maybe ask your parents? Or maybe just save the money for college.
LOL
