Answer:
36 hours (1 1/2 days, 351$ )
Step-by-step explanation:
create a linear system and solve.
8.25x + 54 = 9.75x
_______________
-8.25x -8.25x
_______________
54 = 1.5x
_______________
1.5 x = 54
_______________
÷ 1.5. ÷1.5
_______________
x = 36.
if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation
x = 36 -> 8.25(x) + 54 = 9.75(x)
8.25(36) + 54 = 9.75(36)
297 + 54 = 351
351 = 351
________________________________
David's budget >= 54$
Fatima's budget >= 0$
The required inequality is 8.25x + 54 = 9.75x
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
Collect like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Hence, it will take 36 hours for David to have as much as Fatima.
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At a local department store, cardigans are typically priced at $15. Due to a special,
the cardigans are reduced to 80% of their original price.
How much are cardigans now?
Answer:
$3
Step-by-step explanation:
80% of 15 is 12
15-12=3
Respond to the following question with either a TRUE or FALSE: "The following parabola opens down: f (x) = -x2 + 5"
O TRUE because the leading coefficient is negative.
O TRUE because the linear function is negative.
O FALSE because the 5 is.positive.
O FALSE because this function is actually linear and not a parabola.
O I'm not sure how to approach this problem...yet.
Answer: A) True because the leading coefficient is negative
Explanation:
The leading term is -x^2 since this term has the largest exponent.
The leading coefficient is -1 as it's the coefficient of the leading term.
It might help to write -x^2 as -1x^2
The negative leading coefficient makes the parabola open downward, so each endpoint goes off to negative infinity. The graph looks like a frowny face. You can think of a negative emotion going with a frowny face, so that negative emotion matches with the negative leading coefficient. There are probably other ways to remember but that's the trick I use.
What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?
Answer:
7,-10
Step-by-step explanation:
I need help with this please
1. 8x+15=dx-20
2. 12(7+2y)=4y-(3-ty)
3. 15+x(3t-4)=8(-2t+11)
:) answer all for brainliest
8x+15=dx-20
8x+15+20=dx
8x+35=dx
d=8x+35 /x
12(7+2y)=4y-(3-ty)
12(7+2y)=4y−3+ty
12(7+2y)−4y=−3+ty
12(7+2y)−4y=ty−3
12(7+2y)−4y+3=ty
t= 12(7+2y)−4y+3 /y
15+x(3t-4)=8(-2t+11) SOLVING FOR X
15+x(3t-4)=8(-2t+11)
x= 8(−2t+11)−15 /3t−4
x= −16t+73 /3t−4
Hope this helps!God bless you and have a wonderful day!
Answer:
Step-by-step explanation:
Give the other guy brainiest
Marshall buys a sack of peaches for $5.98. The peaches weigh
2.77 pounds. About what price per pound did Marshall pay? Estimate using compatible numbers.
Answer:
Step-by-step explanation:
a
Ernie went to see some friends in San Antonio 240 miles away. It took him 3 hours to get there. What was his average speed?
Answer:
Find out yourself buddy XD
Answer:
his average speed was 60 miles per hour
Step-by-step explanation:
their are three ways to get the answer
1. if you take the 0 away from 240 it becomes 24, and 24 divided by 3 = 6 add the the 0 back in and you get 60.
2. 240 divided by 3 = 60
3. Use a calculator
What multiplies to be a 20 and adds to be a -21?
Answer:
-20 & -1
Step-by-step explanation:
-20+-1=-21
-20*-1=20
Thank you guys for helping me. I need help on this one
Answer: 10 times 8 and 8 times 10
Step-by-step explanation:
those are the first in the multiplication table that have the same digits
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answer:
500/40125/vDensitym/vI hope this helps!
9. When graphing, what does the y intercept describe? *
The place where the line or curve crosses, or touches, the x axis
The place where a line or gurve crosses, or touches, the y axis
O I don't know.
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Andrea’s income from a lemonade stand was $28. Supply expenses were $9. Write and then evaluate an expression to find Andrea’s profit or loss. Expression:___
Andrea’s profit or loss is____dollars.
Answer:
9-28= 21
Step-by-step explanation:
She made profit because she lost 9 dollars, and then gained 28$ back, which would then equal to $21, so Andrea made a profit of $21.
Solve for x
3x/2 - 2 > 7
Answer:
x>6
Step-by-step explanation:
answer is above
Answer:
x>6
Step-by-step explanation:
3x/2 - 2 > 7
+2>+2
3x/2>9
2(3x/2)>(9)2
3x>18
3x/3>18/3
x>6
Can someone help me pls. the Subterranean roller coaster rises up to 50.6 feet above the ground before dropping 100.7 feet into an underground cavern. Describe the height of the roller coaster at the bottom of the cavern.
Answer:
-50.1
Step-by-step explanation:
The height of the roller coaster at the bottom of the cavern is 50.1 feet down from the ground level.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Given that,
Subterranean roller coaster rises up to 50.6 feet above the ground before dropping 100.7 feet into an underground cavern.
So the height of the roller coaster when it rises is 50.6 feet from the ground .
After that it drops to 100.7 feet into an underground cavern.
Height of the roller coaster now = 50.6 - 100.7
= -50.1 feet
Negative sign indicates that it is below the ground level.
Hence the height of the roller coaster at the bottom of the cavern is -50.1 feet.
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Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?
Answer:
the retirement fund would last 12 years
Step-by-step explanation:
first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.
65 - 25 = 40 years
next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).
12 × 750 = 9,000 dollars per year
then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.
9,000 × 40 = 360,000 dollars in 40 years
-
after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.
$360,000 ÷ $2,500 = 144 months
to find how many years the money would last, one would divide it by 12, which is the amount of months per year.
144 ÷ 12 = 12
It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.
Step-by-step explanation:
You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!
Write 6.37x10-2 in standard form?
Answer:
0.0637
Step-by-step explanation:
hope this helps :)
6.37 x 10⁻² in the standard form is 0.0637.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
We have an expression,
6.37 x 10⁻².
Simplifying to standard form.
6.37 x 10⁻²,
= 6.37 x 1/100
= 6.37/100
= 0.0637
Therefore, 0.0637 is the standard form.
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- 9/14 over 2/7 in simplest form step by step
Answer:
-63/28 or 2 1/4
Step-by-step explanation:
when dividing you will be multiplying by the reciprocal of the second fraction. SO it will be...
-9/14 times 7/2
this is... -63/28
Answer:
-9/4
Step-by-step explanation:
-9
-----
14
------------
2
----
7
To divide -9/14 by 2/7, invert 2/7 and multiply instead:
-9 7
------- * -----
14 2
Reducing, we get:
(-9)(1)
--------- = -9/4
(2)(2)
What is the equation in point-slope form of the line passing through (1, 9) and (1, 11)? (5 points)
Answer:
1
Step-by-step explanation:
Answer:
y-9=0(x-1)
Step-by-step explanation:
first, find the slope with m=y2-y1/x2-x1
11-9=2
1-1=0
2/0 is undefined so i think you have to use 0
sorry if im wrong
i find it difficult when there is no slope
What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.
(0.9273 +17,0), where n is any integer
(0.9653 +12,0), where n is any integer
(0.9273 +2n7,0), where n is any integer
(0.9653 +217,0), where n is any integer
Answer:
C on edge
Step-by-step explanation:
The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is,
y=6tan (x/2)-3
we know that,
the x-intercepts of the graph of the function, we put y = 0
so, we get,
6tan (x/2)-3 = 0
or, tan (x/2) = 3/6
or, tan (x/2) = 1/2
or, x/2 = 0.4636
The period of tangent is π, so we have,
x/2 = 0.4636 + nπ
or, x = (0.9273 +2nπ)
Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
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I need this answer
5x + 10 = 6x – 20
Answer:
30
Step-by-step explanation:
Step 1:
5x + 10 = 6x - 20 Equation
Step 2:
10 = x - 20 Subtract 5x on both sides
Step 3:
10 + 20 = x Add 20 on both sides
Answer:
x = 30
Hope This Helps :)
Answer: x=30
Step-by-step explanation:
Who can help me with my math homework I can ask the questions on here the way they are set up?
Answer:
i can
Step-by-step explanation:
Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odometer affected? How is the speedometer
affected?
Answer:
Step-by-step explanatin
it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook
−4 + [12 × (−8)] – 62
Answer:
-162
Step-by-step explanation:
that the answer
Answer:
-162
Step-by-step explanation:
Multiply: −4 + [12 × (−8)] – 62
Remover parentheses: -4 + (-96) – 62
Calculate sum: -4 – 96 – 62
Find the percent increase or decrease from Monday to Tuesday.
Miles Jan walked Monday: 12
Miles Jan walked Tuesday: 3
Answer:
multiply 12 and 3 and your answer should b36.
Step-by-step explanation:
is this carret
The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.
Answer: 9, 18, 21, and 23 respectively
Step-by-step explanation:
To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.
r = first child (youngest)
x = second child
y = third child
z = fourth child (oldest)
We know that r + x + y + z = 71
We also are given info on the comparisons of their ages.
r = r
x = 2r (2 times the youngest)
y = 12 + r (12 more than the youngest)
z = 3r - 4 (4 less than 3 times the youngest)
That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.
Child #1 (youngest)
[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]
Child #2
[tex]x=2*9=18yrs[/tex]
Child #3
[tex]y=12+r=12+9=21yrs[/tex]
Child #4 (oldest)
[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]
Fact Check:
[tex]9+18+21+23=71[/tex]
I need some help please
Answer:
a: y=-1/2x-3/2
b: y= -4x+2
Step-by-step explanation:
Abdul receives $10 per week for his allowance. His parents have asked him to put $4 in his savings account and the rest of his allowance is spending money.
Answer:
2.5
Step-by-step explanation:
just trust me it 2.5
Calculate 3 over 4 ÷ 5 1 fifth
Answer:3/20
Step-by-step explanation:
3/4/ 5/1
3/4 x 1/5 =3/20
30 = [(10 - 8) + (17-14)]
Answer:yes
Step-by-step explanation:kubjubjugjugjugjugjugjugju
Sandy evaluated the expression below.
(-2) (6-3)-5(2+3)
(-2) (3) -5(5)
8(3) - 25
24-25
-1
What was Sandy's error?
Sandy should have evaluated (-2) as-8.
O Sandy should have not multiplied 5 and 5.
O Sandy did not add 2 and 3 correctly.
O Sandy should have not subtracted 3 from 6 first
Answer:
answer A
Step-by-step explanation:
i got it right on the test