Answer:
h = 3
Step-by-step explanation:
Step 1: Write out equation
(6h + 8) - (3h + 2) = 15
Step 2: Distribute negative
6h + 8 - 3h - 2 = 15
Step 3: Combine like terms
3h + 6 = 15
Step 4: Subtract 6 on both sides
3h = 9
Step 5: Divide both sides by 3
h = 3
Step 6: Check Step
(6(3) + 8) - (3(3) + 2) = 15
(18 + 8) - (9 + 2) = 15
26 - 11 = 15
15 = 15
(6h + 8) - (3h + 2) = 15
Let's distribute the - to 3h + 2
6h + 8 - 3h - 2 = 15
Combine like terms
3h + 6 = 15
Subtract 6 from both sides
3h = 9
Divide both sides by 3
h = 3
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even
Answer:
x=10000
Step-by-step explanation:
The break even point occurs when costs equal revenue. Write the break-even formula and solve to find
C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.
what is the answer to
5 1/6 times ( -2/5)
Answer:-31/15
Step-by-step explanation: step 1: make both fractions improper
step 2: multiply numerator and denominator 31/6 x -2/5= -62/30
step 3: simplify -31/15
Help solve step by step please? 3/7➗4/5=
Answer:
15/28
Step-by-step explanation:
Step-by-step explanation:
3/7 divided by 4/5
Find the reciprocal of 4/5 which is 5/4
Multiply 3/7 by 5/4
3*5= 15 which is the numerator
7*4=28 which is the denominator
so the final answer is 15/28
You are buying tickets to a Star Wars Convention. The tickets cost $10 per adult and $3 per child. Parking is a one-time fee of $5. If you
purchased two adult tickets, a, and the total cost was $109, how many child tickets, c, were purchased?
Answer:
28 children tickets
Step-by-step explanation:
$109 for the whole cost
bought 2 adult tickets that costed 10$ each and payed 5$ for parking fee
add them together 25$
109-25 =84
84/3 =28
The rate of auto thefts doubles every 5 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto thefts as a function of time in
months.
(b) Find the tripling time to the nearest tenth of a month.
months
I think first one is the answer
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Is the following number an integer?
30/6
Answer:
NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
The value of -31.45/-3.21 is around?
A candy store sells mints in 14, 12 , and 34 lb packages. John purchases several packages of each weight.
What is the weight of 6 packages of the 14 lb package?
Answer:
84 lbs
Step-by-step explanation:
Multiply 14*6 to get the total weight
27. Give the perimeter of the rectangle below in
simplest form.
Answer:
The permeter will be 26 units
Step-by-step explanation:
First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2
1. add seven to both sides leaving 3x = x + 9
2. Then subtract the 1x from both sides leaving 2x = 9
3. Then divide 9 by 2 which will be 4.5, x = 4.5
Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7
1. 4.5 + 2 = 6.5
2. 3(4.5) - 7 13.5 - 7 = 6.5
The perimeter of the rectangle below in simplest form will be 4(x - 3).
Length of the rectangle = 3x - 7
Width of the rectangle = x+2
The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:
= 2(length + width)
= 2(3x - 7) + 2(x + 2)
= 6x - 14 + 2x + 4
= 4x - 12 = 4(x - 3)
Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).
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Order from greatest to least 1.202;1.29;1.02
Answer:
1.29, 1.202, 1.02
Step-by-step explanation:
fill in the table using the function rule: y=1 + 4x
Answer:
13, 25, 37, 41
Step-by-step explanation:
By plugging each x value given for x, you are able to solve for y. Just multiply x by 4 and add 1.
Please help me with these two questions.
Answer:
gooooooooood
Step-by-step explanation:
I kie that
Bucky received $100 for his birthday. How many hours can he jet ski on Lake Smellsomemore if costs $15
per hour to rent a jet ski and he also has to spend $10 on an inflatable life jacket?
Answer:
b hours
Step-by-step explanation:
100 minus the 10 on the jacket equals 90. 90 divided by 15 is 6
What is the property of (4y + 1) x 0 =0
Answer: Zero Property
Step-by-step explanation:
There are 6 black marbles, 14 blue marbles, 8 white marbles,
and 12 clear marbles in a bag. If Andy chooses a second marble
without replacing the first marble, what is P(black, then clear)?
Answer:
3/65 = 0.046 = 4.6%
Step-by-step explanation:
Notice that the total number of marbles is:
6 + 14 + 8 + 12 = 40
Then , the probability of getting a black marble first is 6/40 = 3/20
Now, since the experiment is without replacing, he is left with a total of 39 marbles in the bag, and the probability of getting a clear one is now 12/39
The total probability is the product of these two:
(3/20) x (12/39) = 3/65 = 0.046 = 4.6%
Graph the linear equation by finding its intercepts.
3x + 6y = 18
OMG! I just answered the wrong question... so sorry
A footballer scores in one out of five matches. What percentage of the matches does the footballer score in?
Answer:
20%
Step-by-step explanation:
100 divided by 5 =20 20x1=20
-17 = - 10 + x
Help me please
Answer:
x = -7
Step-by-step explanation:
Isolate x by adding 10 to both sides:
-17 = -10 + x
-7 = x
So, x = -7
The perimeter of a rectangle is 40 m. The length is 4 m more than three times the width. Find the length and the width of the rectangle.
Answer:
Width = 4 m, Length = 16 m
Step-by-step explanation:
Perimeter = 40
Width = x
Length = 3x + 4
x + x + 3x + 3x + 4 + 4 = 8x + 8
40 - 8 = 32
32/8 = x
x = 4
Width = 4
Length = 16
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Which of the following trinomials could represent the product (x + m)(x + n) if m = 5 and n = -7? A x2 + 2x - 35 B x2 - 12x - 35 Cx2 + 35x + 2 D x2 - 2x - 35
Hey there! I'm happy to help!
Let's plug in these values.
(x+5)(x-7)
We use the FOIL method to multiply the two.
We multiply the Firsts.
x·x=x²
We multiply the Outsides.
-7·x=-7x
We multiply the Insides.
5·x=5x
And we multiply the Lasts.
-7·5=-35
We combine these all.
x²-7x+5x-35
x²-2x-35
Have a wonderful day! :D
Which statements are true regarding f(x)=10/x+5
? Check all that apply.
The domain of f(x) is (–∞, –5) U (–5, ∞).
The range of f(x) is (–∞, 2) U (2, ∞).
The x-intercept is at (–5, 0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
For the function [tex]\frac{10}{x + 5}[/tex] , we can say
The domain of f(x) is (–∞, –5) U (–5, ∞).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
What is a function?A mathematical relationship from a set of inputs to a set of outputs is called a function.
What is domain of a function?The domain of a function is the set of all possible inputs for the function.
What is range of a function?The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs
What is asymptote?An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.
What is intercept?An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis.To find the x-intercept we need to do y = 0To find the y-intercept, we need to do x = 0How to know the domain of function?The given function is [tex]\frac{10}{x + 5}[/tex]
Now, if x = -5 then the function becomes undefined.
∴ The domain of the function is all real numbers except -5
So, The domain of f(x) is (–∞, –5) U (–5, ∞).
So, option a is correct.
How to know the range of the function?Clearly, the range of the function includes all real numbers
So, option B is wrong
How to find the x-intercept?To find the x-intercept , we will have to solve f(x) = 0, which is not at all possible for this function.
So, option C is wrong
How to find the y-intercept?To find the y-intercept, we need to do x = 0So, putting x = 0 in the function we get f(x) = 2
So, the y- intercept is (0, 2).
So, option D is correct.
How to find vertical asymptote ?To find the vertical asymptote, we need to make the denominator = 0∴ x+ 5 = 0
∴ x = -5
So, there is a vertical asymptote at x = –5.
Hence option E is correct.
How to find the end behavior?We can see,
As x tends to -∞, x + 5 will also tend to -∞We know that a number divided by ∞ or -∞ becomes 0So, as x tends to -∞, f(x) will tend to 0
So, Option F is correct.
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Answer:
ADEF
Step-by-step explanation:
ADEF
A rectangle is 3 times as long as it is wide. The perimeter is 24 feet. Find the dimensions.
Answer:
Width is 3 units, The Length is 9 units.
Step-by-step explanation:
Three times as much as 3, or 9, is how you find the lengths. This being- 3+3=6 and 9+9=18, 6+18=24, which is the perimeter, therefore 3 and 9 are the dimensions.
Evaluate =f(×) r 6x-2 for f (2a-3)
Answer:
[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]
Step-by-step explanation:
Function given:
⇒f(x) = 6x - 2
Substitute 2a - 3 into the function in place of x:
⇒f(2a - 3) = 6(2a - 3) - 2
Expand bracket:
⇒f(2a - 3) = 12a - 18 - 2
Add the like terms:
⇒f(2a - 3) = 12a - 20
Craig has acollection of 220 marbles. He lets his friend have 1/4 of his collection and sells 1/5 of his collection to the novelty store. He takes 15 marbles home to give to his brother. how many marbles remain in Craig's collection?
Answer:
he would have 106
Step-by-step explanation:
hope it helps
James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over?
Answer:
79.8260869565
Step-by-step explanation:
When dividing 1,836 by 23= 79.8260869565
A box of books weighs 4.10 kg for every meter of it's height. Convert this ratio into pounds per foot.
Answer:
The ratio is k = 2.76 pounds / foot
Step-by-step explanation:
From the question we are told that
For 1 m height => 4.10 kg mass
generally 1 meter = 3.28084 feet
Also
1 kg = 2.20462 pound
4.10 kg = x pounds
So
[tex]x = \frac{4.10 * 2.20462}{1 }[/tex]
=> [tex]x = 9.04 \ pounds[/tex]
So
9.04 pounds = 3.28084 feet
z pounds = 1 foot
So
[tex]z = \frac{ 9.04 * 1 }{ 3.28084}[/tex]
=> z = 2.76 pounds
So the ratio is in pounds per foot is
k = 2.76 pounds / foot
Given the points A(-5, -6) and B(8, 2), if C is the midpoint of segment AB, find the coordinates of the midpoint of segment CB
Which of the following inequalities is incorrect?
00>-2
6 >-12
-5<-8
0-7<-5
Step-by-step explanation:
First, is 0 greater than -2? Correct
Next, is 6 greater than -12? Correct
Is -7 less than -5? Correct
Finally, is -5 less than -8? NERP!!
So C. is incorrect. Or in this case, it is...
what value of x makes this equation true X over 3 = 24
Answer:
x=72
Step-by-step explanation:
Start with [tex]\frac{x}{3}[/tex]=24
Using the multiplication property of equality, multiply each side by 3
x=72
Mr.Harris owns a bubble machine that he uses for different school events. The bubble solution contains 3/4 cup of corn starch for every 2 cups of water.
What is the rate in cups of corn starch pero cup of water
A.3/8
B.2/3
C. 1 1/2
D. 2 2/3
Answer:
3/8
Step-by-step explanation:
Divide 3/4 into 2. Got it right on iready