Answer:
y=7/4x+7
Step-by-step explanation:
3(x - 4) + 6 = 5(x - 1) + 1 solve for x and show work
Answer:
X = -1
Step-by-step explanation:
3(x - 4) + 6 = 5(x - 1) + 1 -distribute
3x - 12 + 6 = 5x - 5 + 1 -combine like terms
3x - 6 = 5x - 4 -subtract 3x
-6 = 2x - 4 -add 4
-2 = 2x -divide by 2
-1 = x
Hope this helps. Pls give brainliest.
Answer:
x= -1
Step-by-step explanation:
open brackets and calculate
3x - 12 + 6 = 5x -5 + 1
Calculate
3x - 6 = 5x - 4
transpose
3x - 5x = - 4 + 6
Calculate
- 2x = 2
x= 2/-2
x= -1
each problem.
In a survey, out of 12,200 college freshman.
7.540 lived on a campus. At another college
if there were only 3.500 freshman, how
many would live on campus?
Answer:
11.040
Step-by-step explanation:
To get this answer you would add 7.740 please 3.500 and get 11.040
Plz help I ONLY GOT 6HRS LEFT?!?!
Answer:
21.5m^2
Step-by-step explanation:
Start by finding the area of the triangle including the rectangle.
The bottom side equals 7m and the other side equals 9m.
To find the area of the triangle, you multiply the base by the height, then divide by 2: (bh)÷2
(7*9)÷2=63/2m^2 or 31.5m^2
Now you can find the area of just the shaded region. To do this, you will want to find the area of the rectangle then subtract it from the area of the triangle.
To find the area of the rectangle, multiply the length by width.
2*5=10m^2
Now you can subtract the areas.
31.5-10=21.5m^2
URGENT HELP NEEDED PLEASE
Answer:
line j
Step-by-step explanation:
solve |x+6| - 7 = 8
plzzzzzz
Answer:
X=9
Step-by-step explanation:
9+6=15
15-7=8
Absolute value equals a positive
What is the domain of this function?
(6, 15)
(10, 14)
(20, -11)
6, 10, 20. Domain is the x-coordinates of all values.
Brainliest, What is k ?
Answer:
k=1
Step-by-step explanation:
Since the coefficient of [tex]x^{3}[/tex] is 1, that is what you put for k
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $3000. What was the rate charged per hour by each mechanic if the sum of the two rates was $175 per hour?
Answer:
the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.
Step-by-step explanation:
A system of equations is a set of two or more equations in various unknowns in which you want to find a common solution.
So, first of all it is convenient to define the system variables:
x= the rate charged per hour by the first mechanicy= the rate charged per hour by the second mechanicIf the sum of the two rates were $ 175 per hour, then the mathematical expression that represents this situation is: x + y= 175
You know that the first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Then the amount of money won by the first and second mechanic respectively is expressed by 20*x and 15*y. Together they charged a total of $3000, then 20*x + 15*y=3000
So, the system of equations to solve is:
[tex]\left \{ {{x+y=175} \atop {20*x+15*y=3000}} \right.[/tex]
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
There are several methods for solving a system of equations. One of them is the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown. Once solved, you must calculate the value of x by substituting the already known value of y.
In this case, you isolate the variable x from the first expression:
x= 175 - y
Replacing this expression in the second equation:
20*(175 - y)+15*y=3000
and solving you get:
20*175 -20*y +15*y=3000
3500 -20*y +15*y=3000
3500 -5*y=3000
-5*y=3000 -3500
-5*y= -500
y= (-500)÷(-5)
y= 100
So:
x=175 -y
x=175 -100
x=75
Then the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.
Answer:
The rate charged by the first mechanic is $75/h and by the second is $100/h.
Step-by-step explanation:
We have that the two mechanics charged a total of $3000:
[tex] A + B = \$3000 [/tex]
[tex] A = \$3000 - B [/tex] (1)
The sum of the rate of the two mechanics was $175 per hour:
[tex] R_{A} + R_{B} = \$175/h [/tex] (2)
The rate of the first (A) and second (B) mechanic is:
[tex] R_{A} = \frac{A}{t_{A}} = \frac{A}{20 h} [/tex] (3)
[tex] R_{B} = \frac{B}{t_{B}} = \frac{B}{15 h} [/tex] (4)
By entering equation (3) and (4) into (2):
[tex] \frac{A}{20 h} + \frac{B}{15 h} = \$175/h [/tex] (5)
Now, by entering equation (1) into (5) we have:
[tex] \frac{\$3000 - B}{20 h} + \frac{B}{15 h} = \$175/h [/tex]
[tex] \frac{-3B + 4B}{60 h} = \$175/h - \$150/h [/tex]
[tex] B = \$25/h*60 h = \$1500 [/tex]
Now, for the first mechanic we have:
[tex] A = \$3000 - B = \$3000 - \$1500 = \$1500 [/tex]
Finally, from equation (3) and (4) we can find the rate charged per hour by each mechanic:
[tex] R_{A} = \frac{A}{20 h} = \frac{\$1500}{20 h} = \$75/h [/tex]
[tex] R_{B} = \frac{B}{15 h} = \frac{\$1500}{15 h} = \$100/h [/tex]
Therefore, the rate charged by the first mechanic is $75/h and by the second is $100/h.
I hope it helps you!
two less than five times a number is equal to 6
Answer:
5/8
Explanation:
6 = 5x - 2
8 = 5x
5/8 = x
The unknown number two less than five times a number is equal to 6 will be 5 / 8.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that two less than five times a number is equal to 6 is the number. The unknown number will be calculated as below:-
Let the number be x now form an expression.
6 = 5x - 2
8 = 5x
5/8 = x
Therefore, the unknown number two less than five times a number is equal to 6 will be 5 / 8.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
I really need help and if you know the answers for the rest on the assignment please tell me
Answer:
igbr8gv9rt0ingr3tebegvijb3tu9hrn9vuorgnbrugngfboipbn tufgnvigfuobrengty98bnvfrgubndifvnjthbi rvjunmtybtbtbfgbN
Step-by-step explanation:
vdf fvfvrg
HELP IT'S DUE IN 18 MINUTES!
Answer:
Please check the explanation!
Step-by-step explanation:
As the discrimination expression is
[tex]b^2-4ac[/tex]
if
[tex]b^2-4ac\:<0[/tex]
then the equation has no real solution.
Given the equation
[tex]mx^2+3x+1-m=0[/tex]
by comparing the quadratic equation
[tex]\:ax^2+bx+c=0[/tex]
[tex]mx^2+3x+1-m=0[/tex]
we can observe that
[tex]a=m[/tex]
[tex]b=3[/tex]
[tex]c=(1-m)[/tex]
substituting the values in discrimination to find the values of m
so
[tex]3^2-4m\left(1-m\right)=0[/tex]
[tex]9-4m+4m^2=0[/tex]
[tex]4m^2-4m+9=0[/tex]
[tex]\frac{-4m+4m^2}{4}=\frac{-9}{4}[/tex]
[tex]-m+m^2=-\frac{9}{4}[/tex]
[tex]\left(m-\frac{1}{2}\right)^2=-2[/tex]
as
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
so solving
[tex]m-\frac{1}{2}=\sqrt{-2}[/tex]
[tex]m-\frac{1}{2}=\sqrt{-1}\sqrt{2}[/tex]
[tex]m-\frac{1}{2}=\sqrt{2}i[/tex] ∵ [tex]\sqrt{-1}=i[/tex]
[tex]m=\sqrt{2}i+\frac{1}{2}[/tex]
and also solving
[tex]m-\frac{1}{2}=-\sqrt{-2}[/tex]
[tex]m-\frac{1}{2}=-\sqrt{2}i[/tex]
[tex]m=-\sqrt{2}i+\frac{1}{2}[/tex]
As we know that
if
[tex]b^2-4ac\:<0[/tex]
then the equation has no real solution.
Therefore, for the values of [tex]m=\sqrt{2}i+\frac{1}{2},\:m=-\sqrt{2}i+\frac{1}{2}[/tex], for which the equation [tex]mx^2+3x+1-m=0[/tex] will have no solution.
Simplify the following expression: c + c
Answer:
it can be simplify by c²
Answer:
2c
Step-by-step explanation:
An apartment building has the
following distribution of apartments:
1 bedroom
1st floor 3
2nd floor 1
3rd floor 1
2 bedroom
1
3
4.
3 bedroom
1
2
1
If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms?
A. 11/17
B. 3/17
C. 8/11
OD. 14/17
Answer:
8/17
Step-by-step explanation:
Estimate.
2.1 + 31.8
Answer:
D=34
Step-by-step explanation:
2.1+31.8= 33.9
Answer:
D
Step-by-step explanation:
None of the other answer make sense.
If you are adding, why would your estimate be lower than the factors?
How can I find an outlier in a box and whisker plot?
Answer:
Generally it's one that is just out of the way, the extreme outcast.
i.e "None of the other answers make sense." <----- This is NOT a good explanation.
Answer:
You are correct, this is not a good explanation
Step-by-step explanation:
2
Joe's office recycled a total of 9 kilograms of paper over 3 weeks. How many weeks will it take Joe's office to
recycle a total of 24 kilograms of paper?
0/1
(x + 3y) answer please
Answer:
what do you need done to it?
Answer:
Nothing can be done with this, what do you want to be done , graph?
Step-by-step explanation:
On Dan’s eReader 2/3 of the books are fiction. Of the fiction books, 4/5 are mysteries. What fraction of the books on Dan’s eReader are mysteries?
Answer:
8/15
Step-by-step explanation:
Of The fiction books is a key word telling us to multiply 2/3 x 4/5 because OF when using fractions means that you multiply. So to multiply you just multiply the numerators and denominators to get 2 x 4 = 8 and 3 x 5 = 15, which is 8/15.
Hope this helps!
Have a great day! :)
Given the two points (0, -5) and (-4, 0), determine the value of a and b.
Answer:
Ax + By = C
5x + 4y = -20
a is 5, b is 4
Step-by-step explanation:
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (0 - (-5)) / (-4 - 0)
= 5 / -4
m = -5/4
Use m above and anyone point to find y-intercept, let's use (-4, 0):
y = mx + b
0 = -5/4(-4) + b
0 = 5 + b
b = -5
Slope intercept form using m and b from above:
y = mx + b
y = -5/4x - 5
Standard form Ax + By = C:
y = -5/4x - 5
5/4x + y = -5
5x + 4y = -20
answer and work please
Answer:
I think the answer is 10 cats could be 2 maybe
Step-by-step explanation:
Jen has X cats.
Sister has 3x-2 cats.
3x-2 = 4
X = 2
what is the equation of the line that passes through the point 3,-1 and has a slope of 2
Answer:
y=2x-7
Step-by-step explanation:
so here's my work
I just plugged stuff in so:
y+1=2(x-3)
y+1=2x-6
y=2x-7
pls pls help!! there's 3 images.
I WILL MARK YOU BRAINLIEST IF U GET IT RIGHT
Answer:
im not sure about the 1st one but sec one is 162 i think and im i dont know the last eaither srry
Step-by-step explanation:
HELP ME PLEASE I NEED HELP
Answer:
50°
Step-by-step explanation:
50 + (3x + 14) + (7x - 4) = 180
50 + 3x + 14 + 7x - 4 = 180
60 + 10x = 180
10x = 180 - 60
10x = 120
x = 120/10
x = 12
So, Angle A is:
(3 * 12) + 14
36 + 14 = 50°
Answer:
a.) [tex]x=12[/tex]
b.) [tex]A=50[/tex]
Step-by-step explanation:
a.) Remember: the sum of all angles in a triangle will always be 180°.
Make an equation in which all given angles add up to 180:
∠1+∠2+∠3=180
[tex](3x+14)+(7x-4)+50=180[/tex]
Solve the equation for the value of x. Remove the parentheses:
[tex]3x+14+7x-4+50=180[/tex]
Combine like terms:
[tex](3x+7x)+(14-4+50)=180\\\\10x+60=180[/tex]
Subtract 60 from both sides:
[tex]10x+60-60=180-60\\\\10x=120[/tex]
Divide both sides by 10:
[tex]\frac{10x}{10}=\frac{120}{10} \\\\x=12[/tex]
The value of x is 12.
b.) Insert the value of x into the given value of ∠A:
[tex]A=3x+14\\\\A=3(12)+14[/tex]
Simplify multiplication:
[tex]A=36+14[/tex]
Add:
[tex]A=50[/tex]
∠A is 50°.
:Done
Check Your Work:
To make sure the given values are true, solve for ∠B:
[tex]B=7(12)-4\\\\B=84-4\\\\B=80[/tex]
Now add all angle values to determine if they add up to 180°:
[tex]50+50+80=180\\\\100+80=180\\\\180=180[/tex]
Since 180 is equal to 180, the values are true.
A mixture of green frosting contains 12 drops of yellow food coloring and 8 drops of blue food coloring. If you want to make the same shade of green frosting using 48 drops of yellow food coloring, how much blue food coloring would you need?
Answer:
32 drops of blue food coloring is needed
Step-by-step explanation:
If :
12 drops of yellow food coloring = 8 drops of blue food coloring.
48 drops of yellow food coloring = x
Cross Multiply
12 drops × x = 48 drops × 8 drops
x = 48 drops × 8 drops/12 drops
x = 32 drops of blue food coloring.
If you want to make the same shade of green frosting using 48 drops of yellow food coloring, you would be needing 32 drops of blue food coloring
Find the slope of the line that passes through the points (8,3) and (2,9)
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they
solved the day's challenge assignment. What is the probability that both students are girls?
3/20
I just finished it
yes so y did u need r help?????
NEED HELP ASAP (will mark brainliest)
Answer:
30 feet away
Step-by-step explanation:
hope this helps
Find the volume of a cone with a diameter of 12 m and a height of 7 m.
Answer:
c. 84 time pi m squared
Step-by-step explanation:
Formula for volume of a cone: pi times radius squared times height divided by 3
for this you don't need to multiply by pi so it's
12 and radius is 6
6 squared times 7/3
36 times 7/3
83.99999
rounded to 84 time pi m squared
Answer:
c
Step-by-step explanation:
a p e x
Alvin is taking a bus on a ski trip. The bus travel to 174 miles The bus travel to 174 miles In the first three hours of the trip. If the ski resort is 696 miles from his home which proportion could Alvin use to predict how many hours the bus trips up to the ski resort
Answer: 12 hours
Step-by-step explanation:
We can use direct proportion to solve this, we need to calculate the constant of proportionality first. This will be:
y = kx
where y = 174
x = 3
k = 174/3
k = 58 miles per hour
If the ski resort is 696 miles from his home, the number of hours used will be:
= 696/58
= 12 hours