x=50 is the solution to the equation -0.20(x– 20) = 44-x. So, option C is correct.
Solution to an equation means that value of the variable for which the equation is satisfied.
Given the following equation:
-0.20(x– 20) = 44-x
A
To check x=-90 is the solution:
Put x=-90 in the given equation
LHS=-0.20(x– 20)
=-0.20(-90-20)
=-0.2(-110)
LHS=22
RHS= 44-x
=44-(-90)
RHS=134
LHS≠RHS
Thus, x=-90 is not the solution.
B
To check x=-50 is the solution:
Put x=-50 in the given equation
LHS=-0.20(x– 20)
=-0.20(-50-20)
=-0.2(-70)
LHS=14
RHS= 44-x
=44-(-50)
RHS=94
LHS≠RHS
Thus, x=-50 is not the solution.
C
To check x=50 is the solution:
Put x=50 in the given equuation
LHS=-0.20(x– 20)
=-0.20(50-20)
=-0.2(30)
LHS=-6
RHS= 44-x
=44-(50)
RHS=-6
LHS=RHS
Thus, x=50 is not the solution.
D
To check x=90 is the solution:
Put x=90 in the given equation
LHS=-0.20(x– 20)
=-0.20(90-20)
=-0.2(70)
LHS=14
RHS= 44-x
=44-(90)
RHS=-54
LHS≠RHS
Thus, x=-90 is not the solution.
Thus x=50 is the solution to the given equation. So, option C is correct.
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A zoo has a total of 8 lions and tigers. The number of tigers is one less than twice the number of lions. Write a system of equations that represents the number of lions and tigers A. L + T = 2 T=L-8 B. L-T=8 T=2L-1 C. L+T =8 T=2L-1 D. L+T =8 T= 2L +1
Answer:
C. 2L-1
Step-by-step explanation:
:)
Hello please help me ASAP!!
Answer: D) [tex]x^{4} + 7x^3-11x-77[/tex]
Step-by-step explanation:
f(x) = [tex]\sqrt{x^2+14x+49}[/tex] g(x) = [tex]x^3-11[/tex]
= [tex]\sqrt{(x+7)^2}[/tex]
= x + 7
f(x) · g(x) = (x + 7)(x³ - 11)
= [tex]\large\boxed{x^4+7x^3-11x-77}[/tex]
What is the slope of this line? Plz help asap
solve by elimination
3x+2y=17
x+2y=5
Answer:
x = - 3 and y = − 4
Step-by-step expla
10 points and marked brainliest!!!!!
Answer:
10 degrees
Step-by-step explanation:
For an equilateral triangle, all three angles add up to 180, meaning that each angle is 60 degrees. Knowing that, we can substitute that number in to solve for x.
5x + 10 = 60
5x = 50
x = 10
Answer:
60 because equilateral triangle have 60-60-60 angles
Step-by-step explanation:
but for step by step:
3 (5x+10)=180
15x+30=180
15x= 150
x=10
5x+10= 5(10)+10= 60
Someone please help me I will give brainliest! IT SOOOO HARD FOR ME!
Answer:
Step-by-step explanation:
We can do this by cross multiplying.
14/6=x/21
=49/21
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The PTA placed a trail marker in the ground every five hundred yards. Every eight hundred yards the PTA set up a water station. What is the shortest distance a runner will have to run to see both a water station and trail marker at the same location?
Answer:
3600.
Step-by-step explanation:
There will be a trail marker at the following distances from the start of the trail.
400,800,1200,1600,2000,2400,2800,3200,3600,4200 and beyond
There will be water stations at the following distances from the start of the trail.
900,1800,2700,3600,4500 and beyond.
The first time that there will be a trail marker and a water station at the same point will be 3600, that is the first multiple of 400 and 900.
Henry has q5 lawns mowed out of total 60 lawns what percent of the laws does. Henry still have to mow
Answer:
Henry still has to mow 75% of the laws.
Step-by-step explanation:
It is given that Henry has 15 lawns mowed out of a total of 60 lawns.
We need to find: What percent of the lawns do Henry still have to mow?
Henry has 60 lawns in total.
He mowed 15 out of them.
The percentage of lawns mow = [tex]\frac{15}{60} \times 100=25 \%[/tex]
Henry mowed 25% of total lawns.
The percent of laws still have to mow = 100%-25%
The percent of laws still have to mow = 75%
Hence, Henry still has to mow 75% of the laws.
Starbucks sells their coffee for $3.36 for 24 ounces
OR
Circle K sells their coffee for $2.40 for 16 ounces
Which is a better buy and by how much?
Answer:
Starbucks by 1 cent difference.
Step-by-step explanation:
Divide: 3.36 divided by 24 to find Starbucks. You get 14 cents per ounce
Divide: 2.40 divided by 16 to find Circle K. You get 15 cents per ounce
Compare: Starbucks is cheaper by 1 cent.
Answer:
starbucks is a better by because they each sell one ounce for the same price. from starbucks you get more ounces for the same price as you would at circle k
Step-by-step explanation:
starbucks: 24 / 336 = $0.07
1 ounce sells for about $0.07
circle k: 16 / 240 = 0.066 = (rounded) 0.07
1 ounce sells for about $0.07
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
A movie theater sells adult tickets for $6 each. Senior citizens receive a discount of $3. One evening the theater sold 400 tickets and took in $2070 in revenue. How many tickets were sold to senior citizens?
Answer:
Number of senior citizen tickets sold= 110
Number of adults tickets sold= 290
Step-by-step explanation:
First, we need to establish a system of equations:
x= number of adults tickets
y= number of senior citizen tickets
x + y= 400
6x + 3y= 2,070
Now, we isolate x in one equation and substitute the value in the other:
x= 400 - y
6*(400 - y) + 3y = 2,070
2,400 - 6y + 3y = 2,070
330 = 3y
110 = y
Number of senior citizen tickets sold= 110
Number of adults tickets sold= 290
Prove:
290 + 110= 400
6*290 + 3*110= 2,070
what is the third quartile of this data set 20,21,24,25,28,29,35,37,39,42,44
Answer:
The third quartile would be 39.
Step-by-step explanation:
• Since the numbers are already in order, the next step would be to find the median:
- The median is the middle number; found by ordering all data points and picking out the one in the middle.
The median would be 29.• The first quartile, is denoted as Q1 and is the middle number that falls between the smallest value of the data set and the median.
The first quartile would be 24.• The third quartile, is denoted as Q3 and is the median of the upper half of the data set.
The third quartile would be 39.If I helped, please mark me the Brainliest!?!
2. Factor completely: 3x2+x+15x+5
A (x + 5)(3x + 5)
B (x + 5)(3x + 1)
C (x + 5)(3x - 1)
D (x - 5)(3x + 5)
Answer:
i think its b
Step-by-step explanation:
hope this helps
please help me before i fail!!! 3√343 = ?
Answer: 21√7
Step-by-step explanation: Hope this helps
- Find the slope-intercept form of the equation of the line that passes through (-5, 3) and is parallel to 12x – 3y = 10.
Ay=4x-17
By=4r - 13
Cy= 4x + 13
Dy= 4x + 23
BRAINLY TO FIRST PERSON TO ANSWER THIS CORRECT
Answer:
Concept: Modeling
Based on the image shown we have a 1:6 1 inch is the original and 6 is the scales modelHence itd be 12: ? So 12 × 6= 72 inchOption Bnina is traveling to Canada and will change $350 dollars into Canadian dollars at the currents exchange rate $1 is equal to $1.27 Canadian. how many Canadian dollars will she get for her tip?
nina will get _____ Canadian dollars.
Answer:
444.5
Step-by-step explanation:
Multiply the amount of money being exchanged to the exchange rate, in which is $350 to $1.27. Multiply them and you will get your answer.
Answer:
$444.50
Step-by-step explanation:
This is the ratio from American currency to Canadian currency
I don't know how to do these
need help
Answer:
spinner 2 is 14
Step-by-step explanation:
7+3=10
10+4=13
3х + 4y + 2 + 6y +3
HELP QUICK 15 POINTS A
Answer:
3х+4y+2+6y+3 = 5+10y+3x
Step-by-step explanation:
I need help I don’t know if these answers are right or not
Answer:their right I did calculate and thanks for the points :D
Step-by-step explanation:
80 is the product of Chrissy's savings and 5. Use the variable c to represent Chrissy's savings.
Answer:
c = 80 ÷ 5
Or
5c = 80
Step-by-step explanation:
It's pretty self explanatory. All you have to do is convert the words into an equation.
10. Amina is currently twice as old as her younger brother,
Saad. In 4 years, Amina will be 50% older than Saad.
How old will Saad be when Amina is 18?
F. 8
G. 9
H. 10
J. 12
K. 14
How old will saad be when Amina is 18
Answer:
When Amina is 18. Saad would be;
k. 14
Step-by-step explanation:
Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;
Anita's age = 2 × Saad's age
Therefore;
x = 2 × y...(1)
In 4 years, we will get;
x + 4 = 1.5 × (y + 4)...(2)
Substituting the value of x in equation (1) into equation (2), we get;
2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6
2·y + 4 = 1.5·y + 6
2·y - 1.5·y = 6 - 4 = 2
0.5·y = 2
y = 2/0.5 = 4
Saad's current age = y = 4 years
From equation (1), we have;
x = 2 × y = 2 × 4 = 8
Amina's current age = x = 8 years
When Amina is 18, we have;
18 = 10 + 8 = 10 + x
Therefore, Amina would be 18 in 10 years time from now, from which we have;
Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now
Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.
The age of Saad is required when Amina will be 18.
Saad will be K. 14 years old.
Age problemsLet [tex]a[/tex] be the age of Amina
[tex]s[/tex] be the age of Saad
The age of Amina is twice as old as Saad
[tex]a=2s[/tex]
After 4 years Amina will be 50% older than Saad
[tex]a+4=(1+0.5)(s+4)\\\Rightarrow 2s+4=1.5(s+4)\\\Rightarrow 2s+4=1.5s+6\\\Rightarrow s=\dfrac{6-4}{2-1.5}\\\Rightarrow s=4[/tex]
So, Saad is 4 years old currently and Amina is [tex]2\times 4=8[/tex] years old.
They have a gap of 4 years between them.
When Amina will be 18 since Saad is younger his age will be [tex]18-4=14[/tex] years.
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Together, Rhonda and Margo saved $478.50. If Rhonda saved $225 of that total, how much did Margo save? Select the addition equation that could be used to find how much money (m) Margo saved? Choose ALL that apply.
Answer:
$253.5
Step-by-step explanation:
Total amount saved = Amount Rhonda saved + Amount Margo saved
= $478.50 − $225
Amount Margo saved = $253.5
Which value is a solution of the inequality -x + 5 < 7? (SELECT ALL THAT\ APPLY)
5
7
-1
-3
-2
Answer:
5,7,-1
Step-by-step explanation:
5) -5+5<7=0<7 TRUE
7)-7+5<7=--2<7 TRUE
-1)-(-1)+5<7=6<7 TRUE
-3)-(-3)+5<7=8<7 FALSE
-2)-(-2)+5<7=7<7 FALSE
Help please?????????????
Answer:
B. 2x³ + 14x²
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesExponential Rule: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Geometry
Area of a Rectangle: A = lwStep-by-step explanation:
Step 1: Define
l = 2x²
w = x + 7
Step 2: Find A
Substitute [AR]: A = 2x²(x + 7)Distribute 2x²: A = 2x³ + 14x²The shoe store bought a pair of shoes for from the wholesaler for $45, and then marked them up 80%.
How much $ did the shoes get marked up by?
how much did the shoe company charge for the shoes?
Answer:
$81
Step-by-step explanation:
You need to divide 45 by 10 to get 10% of 45. 10% of 45= 4.5. Then, multiply 4.5 by 8 to get 80% of 45. Then, add 36 to 45 to get 81 dollars final price.
If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win exactly five out of seven games in a series against the Rangers?
Answer:
0.234
Step-by-step explanation:
Given that:
Proportion, (p) ; Islanders beat rangers = 5/6 = 0.8333
Probability that islander win exactly 5 out of 7 games
1 - p = 0.1667
Usingbthe binomial distribution formula :
P(x =x) = nCx * p^n * (1 - p)^(n - r)
P(x = 5) = 7C5 * 0.833^5 * 0.1667^2
P(x = 5) = 21 * 0.833^5 * 0.1667^2
P(x = 5) = 0.23405369484362783281917
P(x = 5) = 0.234
Last month, Korey’s Comics had a gross profit of $4,370 and a net income of $3,500. Calculate Korey’s operating expenses for last month.
a.
$787
b.
$870
c.
$7,870
d.
$8,700
Answer: B. $870
Step-by-step explanation:
Correct on Edge2021
Korey’s operating expenses for last month would be $870
What is the gross profit margin?The gross profit margin is a profitability raio. Profitability ratios measures the efficiency with which a company generates profit from its asset. Gross profit margin measures the return on sales.
Gross profit margin can be calculated by dividing the gross profit (difference between revenue and cost of goods sold) by revenue (Net sales). It could be expressed as a percentage by multiplying by 100.
Therefore, Gross profit margin = (gross profit ÷ net sales) x 100
Gross profit = $3,320
Net sales = $4,350
Gross profit margin = ($3,320÷$4,350) * 100
0.763 * 100 = 76.3%
4,350 - 3,320 = 1030
That would be 870 dollar.
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WORTH 13 POINTS PLEASE ANSWER SOON
Kaya's family spends $105 to rent a boat for 7 days. The cost, c, of the boat rental is
proportional to the number of days, d, the family rents the boat.
A. How much does it cost, in dollars, to rent the boat for a day?
- My answer is $15
B. Create an equation using c and d to represent the proportional relationship.
•PLEASE EXPLAIN HOW TO DO THROUGHLY I AM TIERD AND MY BRAIN IS NOT WORKING- AND DON’T WORRY I HAVE THE FIRST ANSWER•
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Answer:
15
Step-by-step explanation: