Answer:
Step-by-step explanation:
Let x = the hourly rate of the first mechanic and
y = the hourly rate of the second mechanic.
As far as the equation goes for the total amount charged:
10x + 5y = 950
As far as the equation goes for the sum of the 2 mechanics' rates:
x + y = 125
Solve the first equation for either x or y. I solved for y:
y = 125 - x
Now plug that into the first equation for y to get:
10x + 5(125 - x) = 950 and
10x + 625 - 5x = 950 and
5x = 325 so
x = 65
The first mechanic charges $65 per hour and the second mechanic charges
y = 125 - 65 so
the second mechanic charges $60 per hour.
A triangular garden has sides that measure 6 1/4 feet, 7 1/2 feet, and 6 5/6 feet.
What is the perimeter of the garden?
Answer:
20 feet 7 inches
Step-by-step explanation:
We can separate the fractions and wholes for the minute. 6+7+6= 19
Then we can go on to the fractions a foot is 12 inches. We are given the fractions 1/4, 1/2, &5/6.
1/4 of 12 is 3 as 12 divided by 4 is 3. (3 inches)
1/2 of 12 is 6 as 12 divided by 2 is 6 . ( 6inches)
5/6 of 12 is 10 as 12 divided by 6 then multiplied by 5 is 10. (10 inches)
Because it'd be a bit weird to provide the answer 9 feet and 19 inches we have to convert the 19 inches from the fractions to feet. Since one foot is 12 inches we know that we can take one foot from the 19 inches from the fractions provided with 7 inches left. With that, the final answer is 10 feet and 7 inches.
Open for more questions, comments, concerns, or critiques ( there are most likely grammatical errors)
Answer:
Step-by-step explanation:
The perimeter of this garden is the sum of the lengths of its three sides:
6.25
7.50
+6,833
-----------
20.583 feet
This could and should be rounded off to 2 decimal places: 20.58 ft
or to a mixed fraction: 20 7 1/12 ft
Pls I need help! Multiple choice question
Answer:
D is right answer
simplify simplify simplify simplify
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\boxed{\sf a^m\div a^n=a^{m-n}}[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times( 3^4\div 3^0)^2[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times (3^{4-0})^2[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times 3^{4(2)}[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times 3^8[/tex]
[tex]\\ \sf\longmapsto 3^{-6+8}[/tex]
[tex]\\ \sf\longmapsto 3^2[/tex]
Answer:
[tex] {3}^{2} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 6} \times ( {3}^{4} \div {3}^{0} {)}^{2} [/tex]
[tex] {3}^{4} \div {3}^{0} = {3}^{4 + 0} = {3}^{4} [/tex]
[tex] {3}^{ - 6} \times ( {3}^{4} {)}^{2} [/tex]
[tex]( {3}^{4} {)}^{2} = {3}^{4 \times 2} = {3}^{8} [/tex]
[tex] {3}^{ - 6} \times {3}^{8} = {3}^{ - 6 + 8} = {3}^{2} [/tex]
[tex] \boxed{\green{= {3}^{2} }}[/tex]
Quadrilateral ABCD is a rectangle. What is the length of AC?
Select the best answer from the choices provided.
A.14
B.17
C.25
D.31
Answer:
option c is correct answer
simplify 2 root 3 + 3 root 3 - 4 root 3
Answer:
√ 3
Step-by-step explanation:
2√3 + 3√ 3 - 4√ 3
5√3 - 4√ 3
1√3
=> √ 3
Answer:
→ 2√3 + 3√3 - 4√3
= (2+3-4)√3
= (5-4)√3
= √3
Therefore, √3 is the right answer.
Add and round the answer to the nearest THOUSANDTHS place value
191.007+0.8215
Answer:
191.829
Step-by-step explanation:
191.007+0.8215=191.8285. But since you want to round it to the nearest thousandths place, you have 191.829
Answer:
191.8290
Step-by-step explanation:
191.007 + 0.8215 = 191.8290
0.8215
0.0097
+______
0.8285
then add 191. to .8285, creating 191.8285, then rounding to the nearest thousandths, and in this case the thousandths is a 5, which means we always round up. That gives us 191.8290.
p.s. there's no need for the zero at the end
what is the commutative property in x+3y
PLEASE ANSWER QUICKLY
Answer:
3y+x
Step-by-step explanation:
commutative property :
a+b=b+a
Similarly:
x+3y=3y+x
Answer:
[tex]we \: know \: that \: commutative \: \\ prop \: is \: x + y = y + x \\ so \: x + 3y = 3y + x \\ \\ thank \: you[/tex]
help me please????????
Answer:
c
Step-by-step explanation:
Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.
Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.
For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.
How many solutions does the system have?
5y = 152 – 40
y = 3r – 8
If I started at 7:20 and ended at 8:07 how much times is that?
Answer:
47 minutes
Step-by-step explanation:
Easy question: Mr. Brown bought chocolate for his students. He had 35 students, and the chocolates came with boxes of 10 that cost $3.98 for each. How many boxes did Mr. Brown have to buy, also how much
do they cost in total?
Answer:
$15.92
Step-by-step explanation:
3.98•4=15.92. You need 4 doxes so 5 students aren't left out.
Find the are of the shaded region
Answer:
16 units squared
Step-by-step explanation:
shape: square (ALL equal sides)
length: 4
width: 4
4 X 4 = 16
Arianna works as a teller at a bank downtown. Each morning, Arianna walks 5 minutes to the subway station. The subway ride to the bank takes 42 minutes. What is the latest time Arianna can leave her house in order to be at the bank by 7:43 A.M.? HELP ME PLS
Answer:
The latest time she can leave is 6:56 A.M.
Step-by-step explanation:
Just trust me. :)
what s the answer for -(x2+8)
Answer:
Use bodmas Brackets Of devision Maltiplication Addition Subtraction(Whichever comes first) So do whats in brackets first the divide if needed multiply if needed and subtract/add if needed
Step-by-step explanation:
So i can only see 2+8 which is 10
12 bars of chocolate costs $3.00 . What is the cost of each chocolate bar?
Answer:
$0.25
Step-by-step explanation:
Divide the cost by the amount.
[tex]\frac{3}{12}=0.25[/tex]
Therefore, the cost of each chocolate bar is $0.25.
Explain how to do order of operations. Use an example
Answer:
First, solve what is in the parentheses of the function. Next, solve the exponents. This includes normal exponents, negative exponents, square roots, cube roots, etc. After that, multiply and divide, and finally, add and subtract the remaining equation.
Multiply / Divide Radical Expressions
i need help please.
Answer:
2 with the sqaure root of 12 is = 6.9 simp = 6.9
4 with the sqaure root of 10 is = 12.6 simp= 12.6
sum = 19.5
I hoped this helped! :)
someone help me with this question please
Answer:
is there an equation we are suppose to use?
Step-by-step explanation:
Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 4 hours, what is the rate of the slower car?
Answer:
Let speed of slower car be xkm/h
Therefore rate of other car=x+20 km/h
After 4 hrs ,
Distance covered by Car A=4x
Distance covered by Car B=4x+80
4x+4x+80=760km
8x=680
x=45
The rate of the slower car=45km/h
how do i simplify "-2.5"?
Answer:
By adding
please mark me brainliest
Solve for x please will mark brainliest
Answer:
[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]
Reynaldo drew square EFGH. Then, he drew the image of it, square E'F'G'H', 4 centimeters to the left of the original figure. Line segment EF is 6 centimeters. How long is segment E'F'?
Answer:
6 centimeters
Step-by-step explanation:
Square E'F'G'H' is just square EFGH translated to the left.
It is still the same size, just in a different location.
Line segment EF is the same length as segment E'F'.
6 centimeters
The segment [tex]E'F'[/tex] is 6 centimeters long.
According to this question, Reynaldo created a new square with same dimensions of the former one by translating it 4 centimeters to the left, which means that line segments EF and E'F' have the same length. Let suppose that no further operations have been done.
If [tex]EF = 6\,cm[/tex], then [tex]E'F' = 6\,cm[/tex] because of translation. In other words, the segment [tex]E'F'[/tex] is 6 centimeters long.
We kindly invite you to check this question related to translation of squares: https://brainly.com/question/12891664
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 70N acts on a certain object, the acceleration of the object is 7 m/s^2. If the force is changed to 80N , what will be the acceleration of the object?
Answer:
8 m/s²
Step-by-step explanation:
[tex]F=m*a\\\\70=m*7 \longrightarrow\ m=10 (kg)\\\\80=10*a\longrightarrow\ a=\frac{80}{10}=8(m/s^2)\\[/tex]
Answer:
Acceleration is 8 m/s²
Step-by-step explanation:
Force = mass × acceleration
[tex]{ \sf{F = m \times a}} \\ { \sf{70 = m \times 7}} \\ { \sf{m = 10 \: kg}}[/tex]
» mass is 10 kg
when force is 80N:
[tex]{ \sf{F = m \times a}} \\ { \sf{80 = 10 \times a}} \\ { \sf{a = \frac{80}{10} }} \\ \\ { \sf{a = 8 \: {ms}^{ - 2} }}[/tex]
(x-3)/(-3) = 27 /3 - x
Answer:
X= 12
Step-by-step explanation:
Divide 27/3= 9
Multiply 3 from both sides: x-3/-3 * 3 = 9 *3- x * 3
Simplify: -(x-3) =27-x*3
2x=24
Divide 2 from both sides: 2x/2= 24/2
x=12
When 7 is subtracted from four times a certain number, the answer is 37. What is the
number?
Answer:
brainliest is appreciated
if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each should we combine to get 40 gallons of 5% concentrate solution
Answer:
30 gallons solution 4% and 10 gallons solution 8%
Step-by-step explanation:
x•4%+y•8%=40•5%4x+8y=40•5 and x+y=40
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
NEED HELP ASAP will give BRAINLIEST :)
Find the value of k. please help
Answer:
k=57
Step-by-step explanation:
-k+15=k-99(vertically opposite angles)
k=57
Opposite angles are equal
[tex]\\ \rm\longmapsto -k+15=k-99[/tex]
[tex]\\ \rm\longmapsto -k-k=-99-15[/tex]
[tex]\\ \rm\longmapsto -2k=-114[/tex]
[tex]\\ \rm\longmapsto 2k=114[/tex]
[tex]\\ \rm\longmapsto k=\dfrac{114}{2}[/tex]
[tex]\\ \rm\longmapsto k=57[/tex]
what is this pls help me
A (-2,6)
B (7,3)
C (0,4)
You just have to move them in that direction and that's the answer
What is the equation of the line that passes through the point (-2,5) and has a
slope of -4?
Answer:
[tex]\boxed {\boxed {\sf y= -4x -3}}[/tex]
Step-by-step explanation:
We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.
[tex]y-y_1= m(x-x_1)[/tex]
In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).
m= -4 x₁= -2 y₁ = 5Substitute the values into the formula.
[tex]y-5 = -4 (x--2)[/tex]
[tex]y-5 = -4 (x+2)[/tex]
We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.
First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.
[tex]y-5=( -4 *x ) + (-4* 2 )[/tex]
[tex]y-5 =(-4x)+ (-8)\\y-5= -4x -8[/tex]
5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.
[tex]y-5 =-4x -8 + 5[/tex]
[tex]y= -4x -3[/tex]
The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.