Answers
______________________________
1.) Multiply both sides of the equation by 5:[tex]81[/tex] × [tex]5=405[/tex][tex]55[/tex] × [tex]5=275[/tex]- Since 5 is positive, the inequality direction remains the same.
Inequality at the end of Step 1:
[tex]405-(1[/tex] × [tex]5+1)[/tex] ≤ [tex]275[/tex]2.) Solve the parenthesis:Multiply 1 and 5 to get 5.Add 5 and 1 to get 6.- We turn the fraction into parenthesis by multiplying because a fraction is originally is dividing, so we have to do the opposite, which in this case is multiplying.
Inequality at the end of Step 2:
[tex]405-6x[/tex] ≤ [tex]275[/tex]3.) Subtract 405 from both sides:[tex]405-405=[/tex] Cancels Out[tex]275-405=-130[/tex]- We do this to get 1 number/variable on each side.
Inequality at the end of Step 3:
[tex]-6x[/tex] ≤ [tex]-130[/tex]4.) Divide both sides by −6:[tex]-6x[/tex] ÷ [tex]-6=x[/tex][tex]-130[/tex] ÷ [tex]-6=\frac{-130}{-6}[/tex]- Since −6 is negative, the inequality direction is changed.
Inequality at the end of Step 3:
[tex]x[/tex] ≥ [tex]\frac{-130}{-6}[/tex]5.) Reduce the fraction [tex]\bold{\frac{-130}{-6}}[/tex] to lowest terms by extracting and canceling out −2:[tex]-130[/tex] ÷ [tex]-2=65[/tex][tex]-6[/tex] ÷ [tex]3[/tex]- Extracting and cancelling out just means dividing. So we just divide the numerator and denominator by -2.
Inequality at the end of Step 5:
[tex]x[/tex] ≥ [tex]\frac{65}{3}[/tex]6.) Turn the fraction into a mixed number:[tex]\frac{65}{3}=21\frac{2}{3}[/tex]- You can figure this out by dividing 65 by 3 which gives you a decimal, then turn the decimal into a fraction.
______________________________
Related Questions
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve this equation and show your work step by step using PEMDAS
3y + 6 = 30
Answers
Answer:
3y+6=30
-6
3y=24
divde by 3
y=8
:)
A carpenter is installing linoleum for the floor. It costs $2.50 to install a square meter of linoleum. How much will it cost to install linoleum for the entire room?
Answers
=========================================================
Explanation:
We need to find the total area first.
Break the figure into 2 parts. The part on the left is a rectangle, and the portion on the right side is a nonrectangular parallelogram.
The rectangle's area is 25*20 = 500 square meters.
The parallelogram's area is 18*10 = 180 square meters.
The formula to find the area of each is base*height
The total area of the entire figure is 500+180 = 680 square meters.
Since 1 square meter of linoleum costs $2.50, this means 680 square meters cost 680*2.50 = 1700 dollars.
Amy's family drove to Lucky Land Fun Park for the day. Her dad and mom
shared the driving. Amy's dad drove 3 miles for every 5 miles her mom
drove. If Amy's mom drove 32 more miles than her dad, how many miles
did they drive altogether? (Draw a tape diagram to help you). *
Answers
Answer:
128 miles
Step-by-step explanation:
The number of miles Amy's parents drove altogether is 128 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Amy's dad drove 3 miles for every 5 miles her mom
drove.
So, the ratio is 3:5
Amy's mom drove 32 more miles than her dad
Let number mile Amy's father drove be x and then the number of miles Amy's mom drove will be x+32
Here, x/(x+32) =3/5
5x=3(x+32)
5x=3x+96
2x=96
x=48
So, x+32=80
Then, total distance is 80+48=128 miles
Therefore, the number of miles Amy's parents drove altogether is 128 miles.
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What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT
Answers
Answer:
C. 1
Step-by-step explanation:
Use the formula to find slope:
(y2-y1)/(x2-x1)
Plug in the numbers you have.
(9 - 2)/(3 - -4)
7/7
1
Slope of the line shown below is option C. 1
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a line.
Slope must be positive since the line is drawn in the positive direction.
Consider two points along the line.
Consider (-4, 2) and (3, 9).
Slope = change in y coordinates / change in x coordinates
= (9 - 2) / (3 - -4)
= 7 / 7
= 1
Hence the slope is 1.
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PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9 = -8s - 7
what is s?
Answers
Answer:
s=2
Step-by-step explanation:
9 = -8s - 7
16=8s
s=2
Answe
the answer -2
Step-by-step explanation:
I Got it right thats how i know
is 9 a irrational number
Answers
Answer:
No.
9 Is rational.
Step-by-step explanation:
I'm 100% sure.
4 ÷ 0.2= ??? what is it?
Answers
Answer:
20
Step-by-step explanation:
Raina has two coupons for a phone.
Coupon A: 45% off of a $83 phone
Coupon B: $40 rebate on a $83 phone
Choose the coupon that gives the lower price.
ong it says college but im acctually in 7th grade :((
Answers
Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6
Answers
Answer:
Slope: -1, y-intercept: 2.
Step-by-step explanation:
3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.
If the variance of a data set if 6.25 what is the standard deviation
Answers
Answer:
Variance= (Standard deviation)^2=
✓6.25=Standard deviation
✓(625/100)= Standard deviation
25/10= Standard deviation
2.5= Standard deviation
Step-by-step explanation:
What is the slope of the line below?
(4,5)
(-2,2)
Answers
Answer:
1/2 or one half
Step-by-step explanation:
Answer:
The slope is 1/2.
Step-by-step explanation:
To find the slope of a line, divide yB - yA by xB - xA.
(yB - yA)/(xB - xA)
(2 - 5)/ (-2 - 4)
-3/-6
Dividing two negatives make a positive.
0.5
The slope is 0.5, or 1/2.
2% of what number is 1
Answers
Answer:
50
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.
Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.
What is the total amount of Rashad’s sales?
How much does Rashad earn from his sales? sorry for the copy paste I'm in a hurry
Answers
Answer:
1800
Step-by-step explanation:
600x300
Aubrey's coach asks her to bring 5 liters of water to practice.
How many 500-milliliter bottles does Aubrey need to buy to have
exactly enough water?
500
A. 1 bottle
b. 5 bottles
c. 10 bottles
d. 15 bottles
Answers
Answer:
C
Step-by-step explanation:
This is because a liter is 1000 milliliters, so multiplying the amount of liters to the milliliters you would get 5000, you would then divide that by 500 since a bottle would contain that much, giving you 10 bottles
Select the expression that is equivalent to (x+5)'2
Answers
Answer:
There are no options but I guess C
Step-by-step explanation:
What is the probability of picking a yellow marble and a blue marble of the yellow marble is replaced ?
Answers
Answer:
50%
Step-by-step explanation:
What is the answer for the algebra equation Ab•2b
Answers
Answer:
[tex]\huge\bold\purple{ 2a•3b }[/tex]
Solve
4(3x − 2) = 52
Answers
Answer:
x=5
Step-by-step explanation:
4×3x=12x
4×-2=-8
(12×x)-8=52
So you balance it to make it:
12x=60
60÷12=5
I hope this helps and please give brainliest and thank me
Step-by-step explanation:
Open bracket
use 4 to multiply what is in the bracket
12x - 8 = 52
collect like terms (CLT)
12x = 52 + 8
12x = 60
divide both sides by 12
x = 5
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answers
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
Help please with this
Answers
Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person, and the third buyer bought 4/5 of what was left and the last 10 lb. How many pounds of potatoes did farmer Bill sell?
Answers
Answer:
Farmer Bill sold 120 lb of potatoes
Step-by-step explanation:
Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.
Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:
[tex]\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x[/tex]
This is the remaining portion of the potatoes.
Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:
[tex]\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x[/tex]
Thus:
[tex]\frac{1}{12}x=10[/tex]
x = 120 lb
Farmer Bill sold 120 lb of potatoes
The Farmer will sold 120 lb of potatoes.
Let us consider that farmer have x lb of potatoes.
He sold a quarter to the first person, that is [tex]\frac{x}{4}[/tex]
Potatoes left,[tex]=x-\frac{x}{4} =\frac{3x}{4}[/tex]
4/9 of what was left to the second person,
Potatoes sell to second person is, [tex]\frac{3x}{4} *\frac{4}{9} =\frac{x}{3}[/tex]
the third buyer bought 4/5 of what was left
that is, [tex]\frac{4}{5}*(\frac{3x}{4} -\frac{x}{3} ) =\frac{x}{3}[/tex]
Potatoes left [tex]=\frac{5x}{12} -\frac{x}{3} =\frac{x}{12}[/tex]
Since, Potatoes left = 10 lb
So, [tex]\frac{x}{12} =10\\\\x=12*10=120[/tex]
Thus, The Farmer will sold 120 lb of potatoes.
Learn more:
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1. Given that cosθ≈0.646 where θ is in quadrant IV, find the values of sinθ and tanθ to the nearest thousandth
a. sinθ=−0.763; tanθ=−1.181
b. sinθ=−0.763; tanθ=−0.847
c. sinθ=0.763; tanθ=0.847
d. sinθ=0.763; tanθ=1.181
2. Terran’s running rate is 4 miles per hour faster than her walking rate. She can run 21 miles in the same amount of time it takes her to walk 9 miles. What are her walking and running rates in miles per hour? Write and solve a rational equation to answer the question. Let x be Terran’s walking rate
a. 21/x+4=9/x; Terran walks at 2 miles per hour and runs at 6 miles per hour.
b. 21/x=9/x−4; Terran walks at 7 miles per hour and runs at 10 miles per hour.
c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.
d. 21/x+4=9/x; Terran walks at 3 miles per hour and runs at 7 miles per hour.
Answers
Answer:
d.) sinθ=0.763; tanθ=1.181
c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.
Step-by-step explanation:
Given that:
θ is in the IV quadrant (All is positive) that is sin, cos and tan are all positive.
Cosθ = 0.646
Θ = Cos^-1(0.646)
θ = 49.75930
Hence,
Tanθ = tan(49.75930) = 1.1816365 = 1.182
Sinθ = sin(49.75930) = 0.7633373 = 0.763
2.)
Let
Walking rate = x mph
Running rate = x + 4 mph
21 miles run time = 9 miles walk time
Recall :
Time = distance / speed or rate
21 / (x + 4) = 9 / x
Cross multiply :
21 * x = 9(x + 4)
21x = 9x + 36
21x - 9x = 36
12x = 36
x = 36 /12
x = 4 mph = walking rate
Running rate = x + 4 = 4 + 4 = 8 mph
Find |x| when x = 15 and x = – 15.
Answers
Answer:15
Step-by-step explanation:trust me
Answer:
The absolute of x would be 15
Given z1 = 2 +StartRoot 3 EndRoot i and z2 = 1 – StartRoot 3 EndRoot i, what is the sum of z1 and z2?
1
3
3 + 2StartRoot 3 EndRoot i
–1 – 2StartRoot 3 EndRoot i
Answers
Answer:
its b.3
Step-by-step explanation: I did it in on edge and got it right
Answer:
It's a 3
Step-by-step explanation:
Mario said so
What is 7 + 7x; 7 (x + 1/7)? PLEASE ANSWER QUICKLY !!
Answers
Answer:
2
Step-by-step explanation:
Add 7 to both sides.
7x=7+7
2 Simplify 7+7 to 14.
7x=14
3 Divide both sides by 7.
x= 14 divided by 7
x=2
Is the following table proportional or non-proportional?
Answers
Answer: Proportional
Step-by-step explanation: 8 goes into 36, 2 goes into 24, and 5 goes into 10
Please help me answer this :)
Explain your answer
Will give brainiest ! Oh
Answers
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because the points are going up by 10 :)
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answers
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
Write an equation, and then solve.
5. Kiesha and Wanda went to the mall for 4.5 hours. While they were there, they went to a movie that lasted 130
minutes and ate dinner for 70 minutes. They spent the rest of the time walking around the mall. How long did
they spend walking around the mall?
Answers
Answer:
70 mins
Step-by-step explanation:
Lets first convert the 4.5 hours to minutes. We know that there's 60 mins in an hour, so we can just multiply 4.5 by 60 to get 270 minutes. Now we know the total time spent at the mall.
Then, we can add the times given in the question.
130 mins + 70 mins + walking mins = 270 mins
To solve, simply collect like terms:
200 mins + walking mins = 270 mins
walking mins = 270 mins - 200 mins
walking mins = 70 mins
whats is y= 2x-7 graphed
Answers
Answer:
Step-by-step explanation:
Start with a point at -7 on the y axis, and move up 2 right one repeatedly and keep making points. Then, connect them and you'll have your line.
y-intercept: (0, -7)