Answer:
x = 26
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] (x - 2) = [tex]\frac{1}{5}[/tex] (x + 4) + 2
Multiply through by 15 to clear the fractions
5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides
5x - 10 = 3x + 12 + 30, that is
5x - 10 = 3x + 42 ( subtract 3x from both sides )
2x - 10 = 42 ( add 10 to both sides )
2x = 52 ( divide both sides by 2 )
x = 26
19. Charlene Levington operates an oil change and tune-up service. She charges $33.95 per oil change. Tune-up is $72.50 for a four- cylinder engine, $82.50 for a six-cylinder engine, and $92.50 for an eight-cylinder engine. What are the charges for a week in which Charlene's facility did 35 oil changes and tuned 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines?
$2,240.75
Step-by-step explanation:
just multiply each tune up price by the amount she worked on within that week and add them all up
The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.
To calculate the charges for the week, we need to find the total cost for both oil changes and tune-ups.
Charges for Oil Changes:
Charlene did 35 oil changes, and each oil change costs $33.95. So the total charges for oil changes can be calculated as follows:
Total charges for oil changes = Number of oil changes * Cost per oil change
Total charges for oil changes = 35 * $33.95
Total charges for oil changes = $1183.25
Charges for Tune-ups:
For the tune-ups, she serviced 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines. Let's calculate the total charges for each type of engine and then add them together.
Total charges for four-cylinder engine tune-ups = 5 * $72.50 = $362.50
Total charges for six-cylinder engine tune-ups = 7 * $82.50 = $577.50
Total charges for eight-cylinder engine tune-ups = 2 * $92.50 = $185.00
Total charges for all tune-ups = $362.50 + $577.50 + $185.00 = $1125.00
Total Charges for the Week:
Now, let's find the total charges for the entire week by adding the charges for oil changes and tune-ups:
Total charges for the week = Total charges for oil changes + Total charges for all tune-ups
Total charges for the week = $1183.25 + $1125.00 = $2308.25
The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.
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Point B is on line segment \overline{AC}
AC
. Given AB=4x-6,AB=4x−6, AC=2x+10,AC=2x+10, and BC=4,BC=4, determine the numerical length of \overline{AC}.
AC
Answer:
AC= 22
Step-by-step explanation:
see photo
The numerical length of AC is 22 units.
What is a line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points,and contains every point on the line that is between its endpoints.
Now it is given that,
Point B is on line segment AC
AB = 4x-6
AC = 2x+10
BC = 4
now since Point B is on line segment AC, therefore
AC = AB + AC
⇒ 2x + 10 = 4x - 6 + 4
⇒ 2x + 10 = 4x - 2
⇒ 2x = 12
⇒ x = 6
Put the value of x in AC, we get
AC = 2(6) + 10
or, AC = 12 + 10
or, AC = 22 units.
Hence, the numerical length of AC is 22 units.
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Sam made ten to add 7 + 2 + 6 Enter number to complete the equation. Sam first added 7 + 2 = 9. Then he made 10 to find the find the sum. The sum is 4 + 6 = 10 + ? = ?
Answer:
So we have the addition.
7 + 2 + 6.
First, she added the 7 + 2 = 9
So we can replace that in our addition as:
7 + 2 + 6 = (7 + 2) + 6 = 9 + 6
Now, we can use 9 = 5 + 4, and replace that in the addition.
Then we have:
9 + 6 = (5 + 4) + 6
And we know that 4 + 6 = 10.
Then:
5 + 4 + 6 = 5 + (4 + 6) = 5 + 10 = 15.
-1 3/8 divided by (-1 4/7) simplified in a fraction form
Clear parentheses and combine like terms:
Answer:
[tex] -40s + 90t + 30 [/tex]
Step-by-step explanation:
Given, [tex] -10(4s - 9t - 3) [/tex]
To clear parenthesis using the distributive property of multiplication, we have,
[tex] -10(4s) -10(-9t) -10(-3) [/tex]
Negative sign multiplied by negative sign = positive sign
[tex] = -40s + 90t + 30 [/tex]
Thus:
[tex] -10(4s - 9t - 3) = -40s + 90t + 30 [/tex]
Solve 2(x+1)+4=8 and can you please show me a step by step
Answer:
x = 1
Step-by-step explanation:
2(x + 1) + 4 = 8
2x + 2 + 4 = 8
2x + 6 = 8
2x = 8 - 6
2x = 2
x = 2 / 2
x = 1
5. Find the distance between (5,7) and (-3,2)
Answer:
[tex]\sqrt{89}[/tex]
Step-by-step explanation:
You want to use the distance formula which is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So if you just plug in the numbers correctly and solve correctly then you should get [tex]\sqrt{89}[/tex]
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have? (1 point)
First, combine like terms on the right side.
[tex]5+2+4y=4y+7[/tex]
Since these are the exact same line, any x value you input will get you the same y value, meaning that there is an infinite number of solutions.
Hope this helps.
頑張って!
Question 10 of 10
Classify the following triangle. Check all that apply.
A. Right
B. Acute
C. Equilateral
D. Isosceles
E. Obtuse
F. Scalene
I hope this helps you
The triangle is an isosceles and an obtuse triangle
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of ∠ABC = 120°
So , it is an obtuse triangle with angle > 90°
Now , the measure of sides AB = measure of BC
So , an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base
Therefore , it is an Isosceles obtuse triangle
Hence , the triangle is isosceles
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The quiz grade of a math class are given. 81,75,68,97,69,81,89,74,75,82,91,90 the grades are normally distributed with a mean of 81 and a standard deviation of 9.2. What is the z score of the lowest grade in the quiz ? Round the answer to the nearest hundredth.
Answer:81
Step-by-step explanation:
Answer:
-1.41
is the answer i I took the quiz
if angle DEF equals 117 find the value of X
Answer:
x= 7
Step-by-step explanation:
add (12x+1) and (5x-3) which becomes 17x-2 and then set that equal to 117 and solve. move the 2 to the right side of the equation which becomes 17x=119 and then divide 119 by 17 which x equals 7.
plug in 7 for x to make sure you get 117
find the quotient 2/5÷1/4
Answer:
8/5
Step-by-step explanation:
two less than eight times a number is the same number as the number +12
Answer:
94
Step-by-step explanation:
12x8 is 96, 96-2=94
Divide 2 over 3 ÷ 1 over 6 = ____. Numerical Answers Expected! Answer for Blank 1:
Answer: the answer is 4
Step-by-step explanation:
2/3 / 1/6
change the places of 1/6 to 6/1
2/3 / 6/1
the division sign changes to multiplication
2/3 * 6/1
cancel out the 3 and 6 to give
2/1 * 2/1
=4
9. The value of the 8th term is 78. The sequence is increasing by 10 at each step. Explicit equation: y = 10x - 2 Recursive: now = previous term + 10 Find the 20th term. Explanation: Find the 20th term *
I already know the answers but I need someone to help/show me what it looks like solved on a number line
Answer:
[see below]
Step-by-step explanation:
3 * (-5) = -15
Locate the '-15' line and plot a closed circle on it.
-2 * -3 = 6
Locate the '6' line and plot a closed circle on it.
Hope this helps.
Evaluate: 3(2f - g) + 4h for f = 2, g = -1 and h = 3
Answer:
27
Step-by-step explanation:
6f - 3g + 4h
6(2) - 3(-1) + 4(3)
12 + 3 + 12
27
Answer:
Step-by-step explanation:
3(2(2) + 1 ) + 4(3)
3(4 + 1) + 12
3(5) + 12
15 + 12
27
pls helppp I don't understand plsss
what is your question repet otherwise I will say you
Answer:
The third answer
Step-by-step explanation:
?+12=7
subtract 12 from 7
you get -5
then to make sure the answer is right you take -5 and add 12, then you will get 7
IS THIS CORRECT, THANKS!
Answer:
Step-by-step explanation:
y + 3 < -1
y < -4
What is the area of this figure?
5 cm
6 cm
8 cm
2 cm
2 cm
3 cm
2 cm
10 cm
Answer:
85.1 (I think)
Step-by-step explanation:
2×2=4
5×2=10
5×6=30
(3×10)÷2=15
3squared+10squared=√109=10.44
5×10.44=52.2÷2=26.1
26.1+4+10+30+15=85.1
⚠️⚠️PLEASE⚠️⚠️
Brainliest will be marked ;) )
Answer:
[tex](\frac{1}{k} )^{10}[/tex]
Step-by-step explanation:
When making a negative a positive, all you need to do is flip it, in this case, making it a fraction.
~theLocoCoco
Which of the tables represents a function? (four points)
Answer:
table b
Step-by-step explanation:
table b is the answer
evaluate the expression 3x + 2(x-1) when x = 3
Answer:
[tex]3(3) + 2(3 - 1)[/tex]
[tex]9 + (6 - 2)[/tex]
[tex]9 + 4[/tex]
[tex]13[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
Find the mode and range of the information.
Answer:
please like it wild be a lot to me
Step-by-step explanation:
ddyruxcdgjkgd cycrlcrylruclvtistnugfsjvdsnhcd
Q:Evaluate -15 + (-4)
Answer Choices:
1) -11
2) 19
3) -19
4) 11
Answer: -19
Step-by-step explanation:
-15-4=-19 olur. İyi dersler!
Solve: - (g+ 12) = 5(9-12)
Answer:
Step-by-step explanation:
-g - 12 = 5g - 60
-6g - 12 = -60
-6g = -48
g = 8
If SF = 5x + 2, SK = 27, and KF = 3x - 1,
find KF.
Answer:
KF = 35
Step-by-step explanation:
Since it's a line with K in the middle, we know that the distance SF is the same as SK + KF.
(Start at S, first go to K, then continue to F. You've traveled the same distance as from S to F.)
SF = SK + KF
Let's put in the values we got.
5x + 2 = 27 + (3x -1)
Opening the parenthesis.
5x + 2 = 27 + 3x - 1
5x + 2 = 26 + 3x
Now let's subtract 3x from both sides.
2x + 2 = 26
Now, subtract 2 from both sides.
2x = 24
If we divide by 2...
x = 12
We know that...
KF = 3x -1
Since x is 12, let's put that in.
KF = 3 * 12 - 1 = 36 - 1 = 35
Answer: KF is 35 !
An investor earned 5 times the profits of what she earned last year. If she made \(\$613801.5599999999\) total for both years, how much did she earn in profits each year?
Answer:
Profit earn 1st year = $102,300.26
Profit earn 2nd year = $511,501.3
Step-by-step explanation:
Given:
Total profit earn = $613801.5599999999 = $613801.56
Find:
Profit earn each year
Computation:
Assume,
Profit earn 1st year = x
Profit earn 2nd year = 5x
Total profit earn = Profit earn 1st year + Profit earn 2nd year
x + 5x = 613,801.56
6x = 613,801.56
x = 102,300.26
Profit earn 1st year = $102,300.26
Profit earn 2nd year = 5x = 5(102,300.26)
Profit earn 2nd year = $511,501.3
Write the quadratic equation in vertex form.
y = x2 + 16x + 4
Answer:
x= y-4/18
y=18x+4
Step-by-step explanation:
How are rational numbers and Integers similar? How are they different?
Answer:
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers. They are different because Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… is a rational number but not an integer. All rational numbers belong to the real numbers. If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites.
Step-by-step explanation: