Answer:
8(x-4)
= 8x - 32
hope it helps
A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600
c) Use your graph to find estimates of
the solutions to the equation
x? – X-2 = 3
Answer:
x = -1.791 and x = 2.791
Step-by-step explanation:
To solve this problem, we have to plot this graph using tool so we also know which of the lines is right.
The solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.
Quadratic EquationA given quadratic equation is an equation that has the highest degree of 2. Further more, when plotted on a graph, it has a parabolic shape.
The given equation is
[tex]3= x^2 - x - 2\\y = x^2 - x -5[/tex]
Let's proceed to plot this graph and we would see the solutions at the point in which the lines curves.
Using that, the solution to this equation is at -1.791 and +2.791 and the graph that looks like the equation is the line in green color.
The solution are
-1.7912.791Learn more on quadratic equation here;
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3+2y-24=14-3y
Please give explanation and good answers.
y = 7
I have attached the step explanation in the photo
Answer:
answer is y=7
Step-by-step explanation:
3+2y-24=14-3y
first solve 3+2y-24 by collecting like terms together
2y+3-24
2y-21
substitute (2y-21) into 3+2y-24=14-3y
2y-21=14-3y
collect like terms together
2y+3y=14+21
5y=35
5y/5=35/5
y=7
Explain how solving an equation with variables on both sides of the equation is different than solving an equation with a variable on only one side. Please use an example of each to show your work. You may use these examples or make up your own: 6x -9 = 15 16x - 20 = 44+ 5x show your work and explain your steps and why.
Answer:
See explanations below
Step-by-step explanation:
Given the equation
6x-9 = 15
Add 9 to both sides
6x-9+9 = 15+9
6x = 24
x = 24/6
x = 4
For the equation
16x - 20 = 44+ 5x
Since we have x variables on both sides, we will collect the like terms
16x - 5x = 44+20
11x = 64
Divide both sides by 11
11x/11 = 64/11
x = 64/11
x = 5.82
Hence the value of x is 5.82
What is the original price of the tennis racquet?
A drawing of a tennis racquet with a tag for sale labeled “30 percent off. Now 21 dollars.”
The original price is $
The original price of the racket is $30
Markup and discount priceLet the original price be x
If there is 30% off the original price, then the new price will be 0.7x
If the price of tennis racquet is now $21, hence;
0.7x = 21
Divide both sides by 0.7
0.7x/0.7 = 21/0.7
x = 21/0.7
x = $30
Hence the original price of the racket is $30
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Tom drives 200 miles in 4 hours, he drives the first 32 miles at an average speed of 64mph, work out his average speed for the rest of the journey.
Answer: Tom's average speed for the rest of the journey = 48mph
Step-by-step explanation:
Total distance driven = 200 miles
total time taken = 4hours
first 32 miles , he drove at an average speed of 64mph, To find the amount of time taken for the first 32 miles,
We Use the formulae
Speed = distance / time
Time = Distance / speed
=32/64 = 1/2 =0.5 hours
The remaining distance = Total distance covered - first 32 miles covered
= 200 -32= 168 miles
The remaining time for rest of journey = Total time taken - time covered in the first 32miles
4hours - 0.5 hours
=3.5 hours
Therefore Average speed for the rest of the journey = Distance for the remaining journey/ remaining time
168miles/ 3.5hours = 48mph
What is the value of x?
Answer:
Approximately 2.12
Step-by-step explanation:
Start by taking the sine of angle 45. Sin(45)=x/3. Then multiply both sides by 3. 3*Sin(45)=x and plug into the calculator.
3-r/8=-9/2 How do you solve this?
Answer:
r=60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
3-r/8=-9/2
r/8=3-(-9/2)
r/8=3+9/2
r/8=6/2+9/2
r/8=15/2
r=(15/2)*(8/1)
r=120/2
r=60
Plz I might fail if I don’t get this done. PLZZZ Help
Answer:
f(10) = -130
Step-by-step explanation:
f(x) = -x² - 3x
f(10) = -(10)² - 3(10)
f(10) = -100 - 30
f(10) = -130
PLS IT FOR MY ECONOMICS CLASS
Answer:
7. Hourly wage: 10 hr 2, 20 : 4, 40: 6, 60: 8, 80: 10, 100: 12, 120: 14, 140: 16, 160: 18, 180: 20, 200It should just be a negative slopeR=d/t if you are solving for d
Answer:
If you were solving for d it would be
Step-by-step explanation:
D=t*r
16. Which is greater, 4^-2 or
2^-4? How do you know?
Those are exponents.
Answer:
Both are equal to [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
If the exponent is negative we can turn it into a fraction and make it positive.
This means the number goes to the denominator and the numerator becomes one. Therefore the following.
[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]
[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]
Write 23/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
2.55555556
Step-by-step explanation:
Alex is ordering a sandwich
with two fillings.
Filling 1
Filling 2
She chooses one filling from
Cheese
Jam
each of the following lists.
Ham
Tomato
Peanut butter Mayonnaise
a) Predict the total number of combinations that Alex can make.
Explain your answer.
Answer:
8
Step-by-step explanation:
Cheese= C
Jam= J
Ham= H
Tomato= T
Peanut butter= P
Mayonnaise= M
(C,H),(C,T),(C,P),(C,M),(J,H),(J,T)(J,P)(J,M)
Hope this helps :)
I can never understand these someone please help
Answer:
145) A
146) C
147) B
148) D
Step-by-step explanation:
_____________________145_____________________
Starting with number 145 it mentions that XY = 24 and XY:YZ = 1:2.
XY:YZ means ratio of XY over YZ so for each 1 XY there is 2 YZ.
Moving on and taking note that XY=24 so this means that,
[tex]\frac{XY}{YZ} =\frac{24}{YZ}= \frac{1}{2}[/tex]
Solving the above expression by cross multiplying 24x2 will give you YZ = 48. The same method applies to #146 and #148 the next questions.
_____________________146_____________________
YZ = 9 and XY:YZ=2:3
[tex]\frac{XY}{YZ} =\frac{XY}{9} =\frac{2}{3}[/tex]
XY= (2x9)/3 = 6
XY = 6
_____________________147_____________________
Given:
XZ = 2ft
YZ = 18in
In this question, you will have to refer to the proportion line given above the questions. It mentions that XZ = 2ft (which is the whole line) and YZ = 18in (which is from Y to Z). Take note that the units are not the same.
They're looking for XY which is the only unknown length in the given proportion line. To get XY you'll have to subtract XZ - YZ, but the units are not the same so you'll have to convert feet to inches since the answer options are given in inches.
Convert 2ft to inches:
To convert from feet to inches you'll have to multiply by 12 so 2x12 = 24.
Therefore, XZ = 24in
Now we subtract:
XZ - YZ = XY
24 - 18 = 6in
_____________________148_____________________
YZ = 1ft
XY: YZ = 1:4
YZ is given in feet and the answers are provided in inches so we'll have to convert.
1 x 12 = 12in
YZ = 12in
[tex]\frac{XY}{YZ} =\frac{XY}{12} =\frac{1}{4}[/tex]
XY = (1x12)/4 = 3in
The function f(x) = {}]" is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
0 (-3.375)
o(-22
O (3)
10 (2-23
Answer:
I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.
I also do exams and quizzes if your interested
Given the side measurements, classify the triangle as acute, obtuse, right, or not a triangle. 8, 12, 14
Answer: It's an acute triangle.
Step-by-step explanation: I have the same problem, and I tried each choice, acute was the correct answer
The triangle with side lengths 8, 12, 14 is an obtuse triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.
8² + 12² = 64 + 144 = 208
14² = 196
Since 208 is greater than 196, we can see that the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.
Since the longest side is 14 and the sum of the squares of the two shorter sides is less than the square of the longest side, we can conclude that the triangle is obtuse.
Therefore, the triangle with side lengths 8, 12, 14 is an obtuse triangle.
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A map has a scale of
1.5 inches : 200 miles. If
Miami and Chicago are 9
inches apart on the map,
what is the actual distance
between the two cities?
Answer:
1200 miles apart for the two cities
Solve the system by substitution
y=-6x
-2x-7y=40
Answer:
x=1, y=-6. (1, -6).
Step-by-step explanation:
y=-6x
-2x-7y=40
------------------
-2x-7(-6x)=40
-2x+42x=40
40x=40
x=40/40
x=1
y=-6(1)=-6
Help with number 6? Rlly dont get it.
Answer:
12s^2 - s - 20
Step-by-step explanation:
It's simplest form is when it's fully expanded.
To expand: (3s-4)(4s+5)
(3s * 4s) + (3s * 5) + (-4 * 4s) + (-4 * 5)
= 12s^2 + 15s -16s -20
= 12s^2 - s - 20
GUYS I NEED HELP PLSSS
Answer:
35 because if you flip it around its the exact same angle
I need help with this ASAP PLEASE!!!
The correct answer is one
good luck in math
please help fast ill give brainlist and 5 stars
Answer:
i think its c
Step-by-step explanation:
Answer: the answer is c
Step-by-step explanation:
These figures are congruent. What series of transformations moves pentagon
FGHIJ onto pentagon F'G'HTJ'?
Answer: C
Step-by-step explanation:
It would have to be a translation and another translation because the preimage of the figure is the same orientation as the image therefore it can't have a rotation or reflection included in it so the answer would be C. Hope this helps :)!
Option (C) is correct.
What are congruent sides and a translation?
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
How to find FGHIJ onto pentagon F'G'HTJ'?
It would have to be a translation and another translation because the preimage of the figure is the same orientation as the image
Thus it can't have a rotation or reflection included in it so the answer would be C.
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SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answer:
4x² - 16.
Step-by-step explanation:
(2x-4)² =?
(2x-4)² = (2x)² - (4)²
= 4x² - 16.
Answer:
x = 2
Step-by-step explanation:
To solve , equate to zero, that is
(2x - 4)² = 0, so
2x - 4 = 0 ( add 4 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
A rectangular box has a width of x meters, length of x + 3 meters, and
a height of x 2 meters. Write an expression for its volume.
Answer:
x*(x+3)*(x^2)
Step-by-step explanation:
Width: x meters, length: x + 3 meters, height x^2 meters
It's an expression, so there's no simplifying needed.
x(x+3)(x^2)
But if I'm wrong and it's supposed to be simplified, Read the rest.
First, multiply x by x + 3
x(x + 3)
x^2 + 3x
Now, multiply x^2 + 3x by x^2
(x^2)(x^2 + 3x)
x^4 + 3x^3
Emily drinks 6 cups of water every day, while Jackie drinks 8 cups of water every day. Which graph represents the total amount of water consumed by Emily and Jackie over a 4-day period?
Answer:
6 12 18 24
___________
8 16 24 32
$680 at 8% for 48 months
Answer:
2611.2
Step-by-step explanation:
I dont think its right though
Answer:
30 028.8 US$
Step-by-step explanation:
Need answered ASAP!
The coordinates of the vertices of triangle LMN are L(-3, 4) M(-2, 0) and N(6,2)
Is triangle LMN a right triangle? Show your steps
Hint: one way to prove is to find a 90 degree angle (perpendicular lines)?
Answer:
Yes
Step-by-step explanation:
I see a right angle, so its perpendicular
Divide £84 in the ratio 5 : 2 *
Answer:
£60 : £24
Step-by-step explanation:
Let's put the ratio into one number.
5 + 2 = 7
There are 7 parts in our ratio, so let's find one part.
£84 ÷ 7 = £12
Going back to the original ratio, we can multiply one part by 5 and 2.
£12 × 5 = £60
£12 × 2 = £24
And it all adds back together to make £84.
£60 + £24 = £84