Let's use the variable, x, to represent the unknown number.
We can represent the words, "the sum of a number and six, as : x + 6
The words, " 2 less than the sum", can be represented as: x + 6 - 2
The words, "the product of the number and three", can be written as: 3x
Now create an equation using "is equal to" to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 - x = 3x - x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2
A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle
Answer:
The area is 15 feet
Step-by-step explanation:
So you are going to need two different equations-
l = w(3)
2l + 2w = 40
Insert the first equation into the second-
2(3w) + 2w = 40
Simplify this equation-
6w + 2w = 40
8w = 40
Divide both sides by 5
w = 5
Solve first equation
l = 5(3)
l = 15
Then find the area-
5 x 15 = 75
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer: 50%
Step-by-step explanation:
The shaded portion is half of 100
Answer: 50%
Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.
PLEASEHELP!
ANSWER CHOICES:
A)189
B)329
C)161
D)84
Answer:
329
Step-by-step explanation:
Work out surface area of this sphere give your answer in to 1 DP
Answer:
84.9
Step-by-step explanation:
SA: 4×pi×r^2
the radius is the line (2.6cm)
On Thursday, 14 out of 20 cookies sold at a bakery were Chocolate Chip. What percent of the cookies sold at the bakery were Chocolate chip?
Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D
Answer:
c 4
Step-by-step explanation:
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics:
Small Medium Large
X= Profit($) 4 8 12
P(X) 0.18 0.50 0.32
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
μy = $6.56 ; σy = 2.77
Step-by-step explanation:
Given the data :
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
Profit, Y on pizza with current promo :
Price off on pizza = $2
Y = x - 2
μx = E(x) = $8.56
μy = μ(x - 2)
μy = μx - $2
μy = $8.56 - $2
μy = $6.56
For the standard deviation of y
σx ≈ 2.77
σy = σ(x - 2)
σy = σx - 2
Constants are treated as 0 for standard deviation
σy = 2.77
Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?
Answer:
27 years oldStep-by-step explanation:
Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? SolutionDaniel = d, Sara = s, Luke = l, Rachel = r
We get below relations:
d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s ⇒ r = 0.45sSum of ages:
d + s + l + r = 141Substitute and solve for s:
0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60Rachel's age is:
r = 0.45*60 = 27What is the value of x in the equation 8x – 2y = 48, when y = 4?
6
ОО
7
O 14
48
Ms. Tompkins had an amount of money in the bank. After she deposited $100, she had at least $550 in the bank. how much money did Ms. Tompkins have in the bank originally?
i need explanation pls , ty
Answer:
at least $450
Step-by-step explanation:
Let the amount she has in bank before depositing be x
If she had at least $550 in the bank after depositing, then;
x + 100 ≥ 550
Get the initial amount in bank
x ≥ 550 - 100
x ≥ 450
Hence the amount she has in the bank originally was at least $450
What force is affected when the distance between two objects remains the name and the mass of each object is doulod?
HELP quick
Answer:
gravitational force or A the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
it a
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!
The graph shows the distance Maria traveled from home in miles (y) as a function of time in seconds (x). Image is down below:
Which segment shows Maria waiting for a cab? (5 points)
P
Q
R
S
Answer:
The answer is point Q
Step-by-step explanation:
Please find X............
Answer:
[tex]x=45.57^{\circ}[/tex]
Step-by-step explanation:
Given that,
Hypotenuse, H = 10
Base = 7
We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :
[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]
So, the value of x is [tex]45.57^{\circ}[/tex].
What is the volume of the rectangular prism?
Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3
Answer:
3 1/3 FT 3
Step-by-step explanation:
im not sure if this right but i tried lol
Answer:
There is not enough info you need to add a picture of the box to measure it.
10. The community garden has 4
acres. Each garden plot is 1/3 of an
acre. How many garden plots are
there in the garden?
6th grade math
Answer:
12
Step-by-step explanation:
In four acres there are 3 gardens so you just have to multiply 4x3=12
Kevin reads 8 pages in 15 minutes. If he reads at a constant rate, how long will it take him to read 20 pages? 65PTS!!
Answer:
37.5 minutesStep-by-step explanation:
Use page/min ratio to solve:
8/15 = 20/xx = 20*15/8x = 37.5 minutesAnswer:
37.5 minutes I think
Step-by-step explanation:
Sarah has 782 stickers in her sticker book. It took 8 stickers to fill one page. She filled each page before putting stickers on another page. How many full pages of stickers does Sarah have
Answer:
97
Step-by-step explanation:
if there are a total of 782 stickers and 8 stickers fill one page the number of full pages can be found by dividing 782 by 8. Doing this gives us 97.75, but since the question is asking us about full pages the answer if 97 full pages of stickers.
Can someone please explain how I apply SOHCAHTOA properly to this?
Answer:
e
Step-by-step explanation:
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find .
(b) Find .
Answer:
Step-by-step explanation:
⚠️PLEASE HELP⚠️
based on the graph, what the initial value of the linear relationship?
A. -4/5
B.0
C.4
D.5
Answer:
C. 4
Step-by-step explanation:
The question is asking for the y-intercept which is the point where x = 0.
What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%
Answer: The tax would be $6.75.
Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)
What is the vertex for y=x^2-3+2
Answer:
-1
explanation:
because I used a graphing calculator
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
what is the meaning of the following data? 101, 143, 132, 155, 166
Answer:
it depends on what you're doing
what's the name of the topic
Help plz will do BRAINLIEST!!!!!!
Answer:
125 56 − x 7
Step-by-step explanation:
1/2-3/8/1/3+4/7(5- 1/4 x)
What is the simplest form of 4/3
Answer:
43 is already in the simplest form. It can be written as 1.333333 in decimal form (rounded to 6 decimal places).
Alex and Amber are both saving money for a
summer vacation. Alex has already saved $100 and
plans to save $25 per week until the trip. Amber has
$75 and plans to save $30 per week. In how many
weeks will Alex and Amber have the same amount of
money?
19 points!
Step-by-step explanation:
25*x+100=30×x+75
25=5x
x=5
