this means that y can be equal to 7.9 or any other number above
Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula
Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
help with question 1
Answer:
si=Ptr/100
and di solution
In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.
Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?
Type your answer
Answer: $10,298.80
Step-by-step explanation:
Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.
His Social Security tax is therefore:
= 6.2% * 132,900
= $8,239.80
There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.
Medicare = 1.45% * 142,000
= $2,059
FICA tax = Social security + Medicare
= 8,239.80 + 2,059
= $10,298.80
need help please thanks
Answer:
6x-y = -18
Step-by-step explanation:
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
Please solve as soon as possible
Answer:
.75
Step-by-step explanation:
Because three divided by four is .75
Answer:
Question 22: 0.75 or 75%
Question 23: 5:2
Step-by-step explanation:
Question 22: 3 divided by 4 equals 0.75
Question 23:
2.5 = 2.5/1
2.5 × 10/10 equals 25/10
25/10 divided by 5 equals 5/2
5/2= 5:2
A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600
Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0
Answer:
the answer would be x=3,1
Answer:
After completing the square, we can say:
(x - 2)² = 1
If we solve for x, this tells us that x has a value of both 1 and 3.
Step-by-step explanation:
Given:
x² - 4x + 3 = 0
We can complete the square by adding 1 to both sides:
x² - 4x + 4 = 1
(x - 2)² = 1
We can then solve for x by saying:
(x - 2)² = 1
x - 2 = √1
x = 2 ± 1
x = 1, 3
A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.
What is the slope of the function?
Answer:
-4
Step-by-step explanation:
as x goes up one y goes down 4
slope is change in y over change in x
-4/1=-4
The slope of the linear function represented by the table is -6.
To find the slope of the linear function represented by the table, we can use the formula for slope:
Slope (m) = (change in y) / (change in x)
Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):
(change in y) = -16 - 2 = -18
(change in x) = 2 - (-1) = 3
Slope (m) = (-18) / (3) = -6
Therefore, the slope of the linear function represented by the table is -6.
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What is 4n-32? Factor your expression using the greatest common factor.
Answer:
4(n-8)
Step-by-step explanation:
take out 4 from 4n-32
so it's 4(n-8) coz 32÷4=8 so yeah
SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answer:
4x² - 16.
Step-by-step explanation:
(2x-4)² =?
(2x-4)² = (2x)² - (4)²
= 4x² - 16.
Answer:
x = 2
Step-by-step explanation:
To solve , equate to zero, that is
(2x - 4)² = 0, so
2x - 4 = 0 ( add 4 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.
Answer:
1400, 1575
Step-by-step explanation:
Two number: 175x , 175y (x and y no more common factor)
LCM: 175xy = 12600
xy = 72
72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor
Two number: 8*175 = 1400 9*175 = 1575
PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS
hope it's helpful ❤❤❤
THANK YOU.
Answer:
4.35
Step-by-step explanation:
If the divisor have decimal places, multiply by 10, 100 ....
As denominator has one decimal place multiply denominator & numerator by 10
[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]
= 4.35
Is the relation a function?? Plzz helppp!!!
(1,19) , (2,23) , (3,23) , (4,29) , (5,31)
Answer: no
Step-by-step explanation: if the y values are the same they are not functions. :) (ps, x values can be the same in a function!)
Answer:
no :)
Step-by-step explanation:
because (2,23) and (3,23) have the same y function
hope this helps!
I need help with this question
Answer:
a) 2.5 x 10^5
b) 8.1 x 10^4
c) 9.06 x 10^8
d) 1.034 x 10^10
plzz help ASAPPPP
i need answers right now!!1
Answer:
ydyeheuuru u ieuegeoeororpe
A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?
Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.
Larry could ______ to make his budget work and afford the ticket.
Answer:
I need the answer choices
Step-by-step explanation:
Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan
Answer:
Jordan
Step-by-step explanation:
The diagram shows a rectangle
James spent 2/5 of his money and saved the rest.if he spent $630 how much money did he save
Step-by-step explanation:
James will reach the school first
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
Evaluate 4^0×x^-5 when x=2 .
Answer:
1/32
Step-by-step explanation:
Anything to the power of 0 is 1.
1*x^-5 (negative power means the reciprocal)
1/2^5 = 1/32
1*1/32=1/32
When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.
First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.
Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.
Substituting x = 2, we have 1 / 2⁵.
Now, we can simplify the expression:
1 / 2⁵ = 1 / 32 = 0.03125
Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.
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The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?
Answer:
if you use Newton's 2nd rule:
F = m* a (force = mass * acceleration)
you can rearrange the terms to:
a = F/m (acceleration = Force/mass)
which will let you solve for acceleration.
What is the slope of the line shown in the graph?
−1
−2
negative 1 over 2
2
Answer:
Slope = -2
Step-by-step explanation:
y2-y1/ x2-x1
Solve the system below.
y = x2
y = –2x + 15
Answer:
since,
y = 2x and y = –2x + 15
then,
2x = –2x + 15
or, 4x = 15
or, x = 15/4
or, x = 3.75
Also,
y= 2x
= 2*3.75
= 7.5
Hope it helped
All the best!!
Answer:
Step-by-step explanation:
[tex]x^{2} = -2x^{2} +15[/tex]
add [tex]2x^{2}[/tex] to both sides
[tex]3x^{2} = 15[/tex]
divide each side by 3
[tex]x^{2} =5[/tex]
square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]
[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A: -5
B: 5
C: -1/5
D: 1/5
Answer:
5
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
since the slope of the green line is 5, the the red line will have the same slope as the green line,
The slope of the red line will therefore be 5
ABCD TSVU find the value of Y
Answer:
The value of y = 7.5 and the scale factor is 2/3.
Step-by-step explanation:
To get the scale factor, let's get the ratio of 17 to 25
[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]
To check if 17 really is the 2/3 of 25.5
[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]
Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).
[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
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