Answer:
Step-by-step explanation:
3x+4=31
subtract 4 on both sides That gives you
3x=27
now divide 27 by 3
that gives you X=9
———————————————-
3(2x+1)
you distribute 3 into the parentheses
so 3 x 2x is 6x 3x1 is 3
so its 6x+3
————————————————
1/2(16x-8)=2(x+16)
first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right
which gives you 8x-4=2x+32
then you combine like terms 8x+2x is 10x and -4+32 is 28
so you answer to this one is 10x+28
zelly works 30 hours a week at a food market for $8.50 an hour she takes home $7.65 an hour after deductions. what is her rate for deductions? use an equation to model the problem and solve it. use r to represent the rate for her deductions.
Answer:
Her deduction is 10%, or 0.85
Step-by-step explanation:
A dolphin was swimming 28 meters below the ocean's surface. It changed its depth to avoid a predator and ended up 21 meters below the surface.
What was the change in the dolphin's depth?
Answer:
7 meters
Step-by-step explanation:
Now write an equation that represents the situation. You want to find the change in the dolphin's depth, so subtract its beginning depth from its final depth.
The change in the dolphin's depth is negative 7 meters.
What is Subtraction?Subtraction of two or more numbers or algebraic expressions is the method of taking away a certain value from a number. This operation is also called difference of numbers.
Subtraction is one of the basic operations in mathematics along with division, multiplication and addition.
Initial depth that Dolphin was swimming = 28 meters
Then the Dolphin changed it's depth to avoid predator.
Final depth that Dolphin was swimming = 21 meters
Change in depth = Final depth - Initial depth
= 21 - 28
= -7 meters
This implies that depth of the Dolphin decreases with -7 meters.
Hence the change in the Dolphin's depth is -7 meters if the initial depth was 28 meters and final depth was 21 meters.
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URGENT: how many integers have an absolute value less than 10π
Answer:
Step-by-step explanation:
Let's calculate 10 pi.
1 pi is about 3.14.
10 pi should be about 31.4.
-31 to -1 is 31 integers.
1 to 31 is 31 more integers.
0 is 1 integer.
31 + 31 = 62
62 + 1 = 63
Hope this helped!
I'm sorry if I misunderstood.
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Which expression is equivalent to 5(x - 7)?
Answer:
5x - 35
Step-by-step explanation:
Apply the distributive property. That means to multiply the number on the outside of the perenthesis with each of the numbers inside the perenthesis.
Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
determine the numerical length of AC.
Answer:
Step-by-step explanation:
the answer is 25 not 5
The numeric value of x will be 25 for the given line segment.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given the line segment AC
AC = AB + BC
Given,
AB = 2x + 10, BC = x, and AC = 5x,
So,
5x = 2x + 10 + x
5x = 3x + 10
2x = 10
x = 5
So,
AC = 5x
AC = 5(5) = 25 units.
Hence, The numeric value of x will be 25 for the given line segment.
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the quotient of 100 and w
Answer:
[tex]\frac{100}{w}[/tex]
Step-by-step explanation:
When it asks for the quotient you are dividing/ putting it in a fraction.
Multiply the polynomials. (x2 – 4) (x2 + 3x – 5)
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ {x}^{4} + 3 {x}^{3} - 9 {x}^{2} - 12x + 20}}}}[/tex]
Step-by-step explanation:
[tex] \sf{( {x}^{2} - 4)( {x}^{2} + 3x - 5)}[/tex]
Use distributive property
[tex] \dashrightarrow{ \sf{ {x}^{2} ( {x}^{2} + 3x - 5) - 4( {x}^{2} + 3x - 5)}}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{4} + 3 {x}^{3} - 5 {x}^{2} - 4 {x}^{2} - 12x + 20}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ {x}^{4} +3 {x}^{3} - 9 {x}^{2} - 12x + 20}}[/tex]
Hope I helped!
Best regards! :D
How many seconds are in 4.98 minutes? Round your answer to the nearest tenth (to one decimal point)
Answer: 298.8 seconds
Step-by-step explanation: 4.98*60=298.8
Answer:
298.8
Step-by-step explanation:
4.98x60=298.8 so you have been understand
Coach Kawa collected data on 5 of his baseball players. The points show shoe size and the number of runs scored this week by 4 of his players.
Answer:
Paulo and Jason
Step-by-step explanation:
Carmen wears a size 10 so everyone left of Carmen or size 10 (x-axis) are the answers, that would be Paulo and Jason.
Evaluate this expression for c=6, and a=2. c-a
Answer:
4
Step-by-step explanation:
6-2 = 4
Answer:
4Step-by-step explanation:
[tex]c = 6 \\ a = 2 \\ c - a = [/tex]
Plug in the given values into the equation
[tex]6 - 2 = 4[/tex]
I need to answer this using dimensional analysis and the answer must be written in Scientific notation. I can't figure it out.
Answer:
3.343481472 x 10^4
Step-by-step explanation:
11.6 a = 3.25 *
6.18 * = 2.5 #
Take the first equation and solve for *
11.6 a = 3.25 *
Divide each side by 3.25
11.6 a/3.25 = *
3.569230769 a = *
Substitute this into the second equation for *
6.18 (3.569230769 a) = 2.5 #
22.05784615 a = 2.5 #
Solve for a
Divide by 22.05784615
a = 2.5 # / 22.05784615
a = .113338355
We have 2.95 x 10 ^5 a
2.95 x 10 ^5 ( .113338355)
33434.81472
Changing to scientific notation
3.343481472 x 10^4
A bar of soap has a volume of 200ml. It has a mass of 415 grams .what is the density of the bar of soap
Answer:
8
Step-by-step explanation:
How many signs can be made from a piece of
sheet metal that is 4 feet long and 8 feet wide?
The tempature at 5pm is 20°F. The tempature at 10pm is -5°F. How many degrees did the tempature fall?
Answer:
25 degrees
Step-by-step explanation:
20 - (-5)
negatives cancel out
20+5 = 25
:D
Jillian said √25 is irrational because it is a square root. Why is she wrong
Answer:
She is wrong because the answer is 5 and that is rational
Step-by-step explanation:
Which function describes this table of values?
Answer:
y = 4/5x
Step-by-step explanation:
We know it's not y = x - 2 because if you plug x into the equation, it works for the first one, but not the second one. Ex: 10 - 2 = 8 but 5 - 2 = 3 not 4.
We also know that it can't be y = -5/4x because if you plug x into that equation, it does not equal y.
y = 4/5x because when you plug x into the equation it works.
TLDR basically you just plug x into the equations.
Highest common factor of 72 and 96
Answer:
24
Step-by-step explanation:
Prime Factorise 72:
[tex]72=2*36\\72=2*2*18\\72=2*2*2*9\\72=2*2*2*3*3\\\\72=2^3*3^2[/tex]
Prime factorise 96:
[tex]96=2*48\\96=2*2*24\\96=2*2*2*12\\96=2*2*2*2*6\\96=2*2*2*2*2*3\\96=2^5*3[/tex]
Multiply the common factors of [tex]2^3*3^2[/tex] and [tex]2^5*3[/tex]:
[tex]2^3*3=24[/tex]
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Simplify the expression 5-(3x+2)+14x
Answer:
[tex]=11x+3[/tex]
Step-by-step explanation:
So we have the expression:
[tex]5-(3x+2)+14x[/tex]
Distribute the -1:
[tex]=5-3x-2+14x[/tex]
Combine like terms:
[tex]=(-3x+14x)+(5-2)[/tex]
Add and subtract:
[tex]=11x+3[/tex]
And we're done!
11x + 3
Step-by-step explanation:
5 _(3x + 2) + 14x
5 _ 3x_ 2 + 14x
11x + 3
Which of the following numbers can be classified as a whole number, natural number, integer, and rational number? 0.4. -78 15 0
Answer:
0.4 since the number is non terminating and non repeating therefore it is irrational number.
-78 A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero
15 The number 15 is a rational number. It is an integer and all integers are rational numbers.
0 Yes zero is a rational number. Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer.
What is p-^m divided by p^n equal to? Answers p-^m + n P-^m• n p-^m - n P-^m divided by n
Answer:
The answer is
[tex] {p}^{ - m - n} [/tex]Step-by-step explanation:
[tex] \frac{ {p}^{ - m} }{ {p}^{n} } [/tex]Using the rules of indices.
Since the bases are the same and are dividing we subtract the exponents
That's
[tex] \frac{ {x}^{y} }{ {x}^{z} } = {x}^{y - z} [/tex]So from the question we have
[tex] \frac{ {p}^{ - m} }{ {p}^{n} } = {p}^{ - m - n} [/tex]Hope this helps you
Adult tickets for a charity concert were $5 each. Students were admitted for $2 each. The charity concert
sold 700 tickets and made $3050. How many students attended the lecture?
Answer:
students 150
adult 550
Step-by-step explanation:
x + y = 700
5x + 2y = 3050
x = 700 - y
5(700 - y) + 2y = 3050
3500 - 5y + 2y = 3050
-3y + 3500 = 3050
-3y = 3050 - 3500
-3y = -450
y = -450 / -3
y = 150
x = 700 - y
x = 700 - 150
x = 550
the thickness of a surfboard relates to the weight of the surfer.a surfboard is 21 3/16 inch thick.write each dimension as a decimal.
Answer:
https://tex.z-dn.net/?f=%5Cunderline%7B0.1875%7D%5C%5C3%3A16%5C%5C%5Cunderline%7B0%7D%5C%5C30%5C%5C%5Cunderline%7B16%7D%5C%5C140%5C%5C%5Cunderline%7B128%7D%5C%5C.%5C%20120%5C%5C%5Cunderline%7B.%5C%20112%7D%5C%5C.%5C%20%5C%2080%5C%5C%5Cunderline%7B.%5C%20%5C%2080%7D%5C%5CR%3D0Step-by-step explanation:
6x + 3(x + 1.15) gfgfdgfdgdfgfdgfggfdgfdgfddfdfgdfgdf
Answer:
9x+3.45
Step-by-step explanation:
Let's simplify step-by-step.
6x+3(x+1.15)
Distribute:
=6x+(3)(x)+(3)(1.15)
=6x+3x+3.45
Combine Like Terms:
=6x+3x+3.45
=(6x+3x)+(3.45)
=9x+3.45
Answer:
6x+3x+3.45
Step-by-step explanation:9x +3.45
x=3.45/9 ans
Question 24
The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $250 for each ton of sugar
transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 17 tons of sugar.
Answer: C=250S+4500
C=250(17) + 4500
C=4250+4500
C=8750
Step-by-step explanation:
As an equation, 250 would be the slope because it is multiplying by the ton and 4500 is the y intercept. If you substitute in 17 for S, then multiply 17 by 250, you get 4250 then add the 4500 and you get 8750 so if S=17, C=8750
The cost of transporting 17 tons of sugar is $8750.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
The given information can be related as,
C = 250S + 4500.
Now, when tons of sugar is 17 we'll simply replace S with 17.
∴ C = 250(17) + 4500.
C = 4250 + 4500.
C = 8750.
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COMPETE
Answer as a dec
2.8+7.22
DONE
Answer:
Hi, there my name is 1frogaroni and I will be helping you out today!
Step-by-step explanation:
The answer to your question is 10.02.
2.8+7.22
=2.8+7.22
=10.02
You must simplify. if this helped I would be happy to get brainliest in order for me to rank up.
Have a great day!
At midnight, the temperature was 15°C. Over the next six hours, the temperature dropped 3 degrees each hour. By noon, the temperature increased 12 degrees. A. What was the temperature at 6 a.m.? B. Then what was the temperature at noon?
Answer:
a)3C b)27C
Step-by-step explanation:
a) 6hours*3degrees=18 degrees
15-18=3C
b)15+12=27C
Solve the following equation 2/3x+6=1/2x+1/4x
Answer:
x = -72/17
Step-by-step explanation:
(2/3)*x+(1/2)*x+(1/4)*x+6 = 0
17/12*x+6 = 0 // - 6
17/12*x = -6 // : 17/12
x = -6/17/12
x = -72/17
x = -72/17
The quotient of a and 8 number
Answer:
a/8 or a over 8 hope this helps
Step-by-step explanation:
Answer:
n
8
→
I used
n
as the unknown number
Explanation:
The quotient is the result of division between two numbers.
The quotient of a number (I used
n
) and
8
would be
n
8
In the given diagram, which of the following can you use to prove that triangle ABC is an isosceles triangle? Show the slopes of AB and CD are negative reciprocals. Show that D is the midpoint of AB. Show that CD = AD = DB.
Answer:
I’ll tell you that the answer is NOT l, ll, and lll
Step-by-step explanation: