Answer:
A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.
Step-by-step explanation:
Answer:
A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.
Step-by-step explanation:
What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (-2, 3)?
Answer:
[tex]y=-\frac{1}{2} x+2[/tex]
Step-by-step explanation:
The given equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)The slope is 2:
When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:
[tex]m_{1}=2[/tex]
This can be seen as:
[tex]m_{1}=\frac{2}{1}[/tex]
Flip the fraction (reciprocal):
[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]
Now find the opposite:
[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]
So the slope of the perpendicular line is:
[tex]m_{2}=-\frac{1}{2}[/tex]
Now make an equation written in point-slope form:
[tex]y-y_{1}=m(x-x_{1})[/tex]
where:
m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]Insert information:
[tex]y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)[/tex]
Simplify to slope-intercept form. Solve for y:
Use the distributive property:
[tex]y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1[/tex]
Add 3 to both sides to isolate the variable:
[tex]y-3+3=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]
:Done
Which One Don’t Lie!!!
Answer:
y=2x
Step-by-step explanation:
You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project?
A3
B.6
C. 18
D. 27
Answer: B. 6
Step-by-step explanation:
Solve for x.
-x + 4 = 32
1. x = 36
2. x = 28
3. x = -28
4. x = -36
Answer:
x=-28
Step-by-step explanation:
-x+4=32
-x=32-4
-x=28
x= -28
Maurice's shirt has five buttons that are vertically arranged and equally spaced. His shirt is shown in the photo below. The first and last buttons are 15.25 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? Round your answer to the nearest tenth.
Answer:
The distance between the top two buttons on his shirt is 3.8 inches.
Step-by-step explanation:
Maurice's shirt has 5 buttons. Distance between first and last button is 15.25.
If we see, they would be arranged like
*
*
*
*
*
They are equally spaced between each button.
So, there are 4 equal spaces between the buttons.
Distance between each two consecutive buttons =[tex]\frac{15.25}{4}[/tex] =3.8125
So, distance between the top two buttons on his shirt is 3.8 inches.
IF 48% of the students in a class are girls:
that percentage are boys?
Represent the percentage of boys as a fraction in it's lowest term
The percentage is 52% and the fraction is 13/25
Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She repays $3221.75. How many years was the loan period?
Answer:
90.7yrs.
Step-by-step explanation:
Given parameters:
Amount borrowed = $2450
Interest rate = 3.5%
Amount repaid = $3221.75
Unknown:
Number of years the load was paid = ?
Solution:
The formula of simple interest;
I = PRT
Where I is the interest
P is the principal
R is the rate
T is the time
To find the interest;
Interest = Amount paid back - loan = 3221.75 - 2450 = 771.75
Now;
P = IRT
2450 = 771.75 x [tex]\frac{3.5}{100}[/tex] x T
2450 = [tex]\frac{2701.25T}{100}[/tex]
T = [tex]\frac{245000}{2701.125}[/tex] = 90.7yrs
The number of years of the loan period was 90.7yrs.
SOMEONE HELPPP ASAP PLEASE I NEED THE SOLUTION TO BOTH OF THEM HELPP
Answer:
2. 17686.98
3. 1007.81
Step-by-step explanation:
Just add the numbers all together and there's your sum.
x/2-14=-20 I tried on this one but I failed.
Answer: I’m not going to tell u the answer hrhrhehehehehehrhehsnheaj
Step-by-step explanation:
-34 answer
Answer:
people are saying its wrong but heres from another source lol
Step-by-step explanation:
source - GetEasySolution.com
Find the area of the geometric figure.
Answer:
area is 210 mi
Step-by-step explanation:
Answer:
210
Step-by-step explanation:
21 x 7 = 147
14 - 7 = 7
7 x 9 = 63
147 + 63 = 210
Which is a graph of y = 3x - 1?
Step-by-step explanation:
it would have a slope of 3 and it would cross the y axis on -1
Evaluate y(-7) + 9x
When x = -6, y = 7
Answer:
-103
Step-by-step explanation:
Answer: -103
Step-by-step explanation:
y=7 so 7x(-7)= -49 because a negative times a positive always equals a negative. Same thing for 9x. x=(-6) so 9x(-6)=-54. So (-49)+(-54)= -103
John is 6 feet 3 inches what is his height in centimeters
Answer:
190.5 centimeters
Step-by-step explanation:
I think it's that. Hope it's right! :)
Write (150 ^ 3) ^ 7 using a single exponent
Answer:
4.9878851e+45
Step-by-step explanation:
what is 20% of 170,000,000
Answer:
34000000
Step-by-step explanation:
Answer:
34000000
Step-by-step explanation:
170000000*20%
=34000000
Which sign makes the statement true?
|–239.80| ? –257.51
Answer: greater than
Step-by-step explanation:
A positive is greater than a negative
The number line below represents which combined inequality? (10 points)
number line with a closed circle on negative 6 and 5 with shading in between
x greater than or equal to −6 or x less than or equal to 5
x greater than or equal to −6 and x less than or equal to 5
x less than or equal to −6 and x greater than or equal to 5
x less than or equal to −6 or x greater than or equal to 5
Answer:
x is greater than or equal to −6 and x less than or equal to 5 (second option).
Step-by-step explanation:
This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!
Hope this helps!!!! Have an awesome day :3
Find the solution of this system of equations
4x - 2y = 0
-X - 2y = -25
Answer:
y = 25
X = 25/2 is the value of X an dy
Answer:
x=5
y=10
Step-by-step explanation:
4x-2y=0
-x-2y=-25
subtract
5x=0-(-25)
5x=25
x=25/5=5
-5-2y=-25
2y=-5+25
2y=20
y=20/2=10
2.5(4+2/5)=-13 how do I solve this
Answer: You add 4+2/5 then multiply it times 2.5
Step-by-step explanation:
If you Evaluate it your answer will be: 11 = -13
1. what is the distributive property of 8×59. 2.what is the distributive property of 9×84. 3. what is the distributive property of 6×78 4. what is the distributive property of 7×96
An error was made in the solution of the equation. Identify the mistake. . 4 -2x = -2 +4 2x = 2 22 · 6 Your answer O This is a required question
Answer:
3.54
Step-by-step explanation:
-x + 3 = 2 ( x + 15 )
Answer:
x= -9
Step-by-step explanation:
-x+3=2(x+15)
-x+3=2x+30
-x-2x+3=30-3
-3x=30-3
-3x=27
x= -9
2ax - 15 = 3(x + 5) + 5(x - 1) In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
NEED EXPLANATION!
Answer:
Step-by-step explanation:
Hello,
let s regroup the terms
2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***
<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***
<=> 2ax = 8x + 25 *** simplify ***
<=> (2a-8)x = 25 *** subtract 8x from both sides ***
<=> (a-4)x=25/2 *** divide by 2 both sides ***
There is no solution is a-4 = 0 ,
because it would mean 0 = 25/2 and this is not possible
So it gives a = 4
Thanks
In the case when no value of x satisfies the equation so there the value of a should be 4.
Calculation of the value of a:Since
the equation is
2ax - 15 = 3(x + 5) + 5(x - 1)
2ax = 15 + 3x + 15 + 5x - 5
2ax = 8x + 25
(2a-8)x = 25
So a = 4
hence, In the case when no value of x satisfies the equation so there the value of a should be 4.
Learn more about an equation here https://brainly.com/question/22358515
Simplify the expression:
9-22 + 4 x 5
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
9-22+20
9-2
7
I need the expression that represents the length of the pool
Answer:
2) 41-2x
Step-by-step explanation:
41-2x
What is the distance in the map (in centimeters) represents an actual distance of 4 kilometers?
Answer:
400k four hundred thousand centimeters is 4 kilometers
Sadie works 5 more hours than Kerry does, and Mark works 2 hours less than Kerry. Together they work 120 hours. How many hours does each person work?
Answer:
Sadie:44 Kerry:39 mark:37
Step-by-step explanation:
(5+w) + w + (w-2)=120
-5 from both sides
w+w+(w-2)=115
+2 from both sides
w+w+w=117
117/3 = w
Angle R measures 47 degrees if the angle is rotated 180 degrees around the origin what is the angle of R?
Given parameters:
Measure of Angle R = 47°
Operation on the angle; rotated through 180°
Unknown:
what is angle R now= ?
Solution:
Angle R was originally an acute angle which was 47°;
And an additional 180° rotation will produce;
New Angle R = 47 + 180 = 227°
The new dimension of the angle is 227°
A printing company needs to ship 7,000 team calendars to the city's basketball team.
The printing company can fit 700 calendars in each box. How many boxes will the printing company need to use?
Answer:
10
Step-by-step explanation:
x + 3 = 10 , then the value of x is
Answer:
7
Step-by-step explanation:
Because 7+3= 10, Please tell me if my answer is wrong
Answer: 7
Explanation:
Because 7+3=10