Adelle solved the equation, 4x/7 - 6 = -20 , as shown.
Fill in the following blanks with the correct justification for each step.
Answer:
Step 1: Given
Step 2: Add 6 on both sides
Step 3: Multiply 7 on both sides
Step 4: Divide by 4 on both sides
The value of x for the given linear equation is -24.5.
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
We have, a linear equation in one variable
[tex]\frac{4x}{7} -6=-20[/tex]
We solve the above equation in following steps
Step I : Adding 6 both the sides
[tex]\frac{4x}{7} = -20 + 6[/tex]
⇒[tex]\frac{4x}{7} = -14[/tex]
Step II: Multiply 7 both the sides
⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]
⇒ [tex]4x = -98[/tex]
Step III: Dividing both the sides by 4
⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]
⇒ [tex]x = -24.5[/tex]
Therefore, the value of x for the given linear equation is -24.5
Learn more about the linear equation in one variable here:
https://brainly.com/question/17139602
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Alex drove from home to her office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 50 km/h. The average speed on the way back was 30 km/h.
Let t be the time it took to go to the office from home
The distance Alex drove from home to her office and back is...
Answer:
The total distance is 220km. Explanation is in the picture. Pls give brainliest. :D
Find the greatest common factor. 54,81
54: 1, 2, 3, 6, 9, 18, 27, and 54
81: 1, 3, 9, 27, and 81
there are 60 balloons in a pack. 3/10 of the balloons are red. 1/3 of the balloons are yellow. the rest are blue. how many are blue?
Answer: 22 blue balloons
Step-by-step explanation:
IF 3/10 balloons are red out of 60, we have
[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total
1/3 of the balloons are yellow, 60/3=20 yellow balloons
Blue balloons= 60-18 (red)-20(yellow)=22
What is the product of 44(4-7)(4)?
-16
O
ОО
-1 -12
-100
8
DONE
Hey there!
44(4 - 7)(4)
= 44(-3)(4)
= -132(4)
= -528
Therefore, your answer is: -528
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find 34−13.95 . Express your answer in decimal form.
Answer:
34-13.95 = 20.05
Step-by-step explanation:
Answer:
20.05
Step-by-step explanation:
34 - 13.95 = 20.05
Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3. 50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80? h c ≤ 80 3h 3. 5c ≤ 100 h c ≤ 80 3h 3. 5c ≥ 100 h c ≤ 100 3h 3. 5c ≤ 80 h c ≤ 100 3h 3. 5c ≥ 80.
Answer: See below
Step-by-step explanation:
Let h represent hamburgers and c represent cheeseburgers
h + c ≤ 100 - The amount of burgers sold
3h + 3.5c ≥ 80 - Amount that each burger sells for
The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5? (5, 13) (-3, 3) (5, 3) (-3, 13)
BRAINLIEST
Answer:
A. (5, 13)Step-by-step explanation:
The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:
(x, y) → (x + 4, y + 5)Apply the rule to the given point to get:
(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)Correct choice is A
Answer:
A. (5, 13)
Step-by-step explanation:
Solve the inequality T > l+d/B for D
Answer:
Second option = TB - L > D
Step-by-step explanation:
[Given] T > [tex]\frac{L +D}{B}[/tex]
[Multiply both sides by B] TB > L + D
[Subtract L from both sides] TB - L > D
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
thirty tickets were sold for a concert, some at 60 cent and the rest is at $1. If the total was raised to $22, how many had the cheaper tickets.
Answer:
20
Step-by-step explanation:
To solve this question we can use a system of linear equations. The 2 equations should represent- 1) the number of total tickets sold and 2) the total amount raised. So, the two equations look like this (in this situation, let x stand for the cheaper tickets and y for the more expensive ones).
x+y=300.6x+1y=22Then, there are multiple ways to solve this including graphing, elimination, and substitution. In my opinion, substitution is the best for this situation.
Firstly, isolate the y variable in the first equation
y=30-xNext, plug in this value for y in the second equation
0.6x+(30-x)=22Then, solve this equation algebraically
x=20Since x stands for the cheaper tickets, we know that 20 people bought the cheaper tickets.
In the past year Jina watched 36 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
It is 21.6
hope this helps
The logarithmic expression [tex]log_{b}(\frac{1}{b^{-b}} )[/tex] where b > 0, is equal to
a) [tex]b^{-b}[/tex]
b) [tex]b^{b}[/tex]
c) [tex]-b[/tex]
d) [tex]b[/tex]
[tex]\log_b \left(\dfrac 1{b^{-b}}\right)\\\\=\log_b (b^{-b})^{-1}\\\\=\log_b b^b\\\\=b \log_b b\\\\=b \cdot 1\\\\=b[/tex]
Write an equation for the nth term of
the arithmetic seqeuence. Then find a10
Need help please quick
Answer is attached.
Hope it helps :)
HELP. GIVING BRAINLIST. BRAINLIST. DONT MESS AROUND PLEASE IM DESPERATE.
Answer:
make me brain list
thank u
Step-by-step explanation:
How i can answer this question
Answer:
A. 2(x+y+1). lmk if you need any more awnsers
please help I’ll give 60 points
Answer:
See image
Step-by-step explanation:
You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image
HELP ME PLZ DONT USE DEMOS GRAPHING
graph y=-1/4x+6
Answer:
.
Step-by-step explanation:
I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:
-11 + 9b² = 25
If you can help me I will be very grateful!
Answer:
b=4
Step-by-step explanation:
-11+9b^2=25
add 11 to both sides
9b^2=36
divide both sides by 9
b^2=4
take the square root of both sides
b=4
Darius and his friends bought 3 pizzas. Each pizza cost $9.89. They paid for the pizzas with 20 dollar bills.
How much change did they get?
Enter your answer in the box.
$|__|
Answer:
10.33
Step-by-step explanation:
9.89x3$29.67
40-29.67=$10.33
C.
Find the 4th term in the expansion of (y + 2)
Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?
I don’t understand this. Can I plz get some help
There are 3 right triangles in this picture, and they are all mutually similar.
• the smallest triangle has legs 4 and y, and hypotenuse z
• the middle one has legs y and 16, and hypotenuse x
• the largest one has legs z and x, and hypotenuse 16 + 4 = 20
Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have
4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)
4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)
y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)
We just want to find x, which we can do easily with the last equality,
16/x = x/20
Solve for x :
20 • 16/x = 20 • x/20
320/x = x
x • 320/x = x • x
320 = x²
⇒ x = √320 = √(64 • 5) = 8√5
help pls, i will give brainliest :)
PLS ANSWER AS SOON AS POSSIBLE
Which expressions are equivalent to -2(2h+10)+4h
Diane is participating in a 5-day cross-country biking challenge. She bikes for 47, 46, 61, and 50 miles on the first 4 days. How many miles does she need to bike on the last day so that her average (mean) is 53 miles per day
What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)
Answer:
A. y - 4 = 3 ( x - 1 )
Step-by-step explanation:
Given:
x1 = 1
y1 = 4
slope (m) = 3
Solution:
y - y1 = m ( x - x1 )
y - 4 = 3 ( x -1 )
y - 4 = 3x - 3
y = 3x - 3 + 4
y = 3x + 1
How do you solve this??
Answer:
what
Step-by-step explanation:
which questions you are telling there is no question to answer you!!
I need help with this question
Answer:
-5,2
Step-by-step explanation:
it literally represents LM and Shows it on the graph
Which theorem would be used to prove the triangles below as congruent?
A: HL
B: SSS
C: ASA
D: AAA
Answer:
A: HL
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Answer:
A
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.