Answer:
The love seat cost $117.
Step-by-step explanation:
Given that,
A sofa and a love seat together costs $351.
Let love's seat = x
Sofa's seat = 2x
ATQ,
x+2x = $351
3x = $351
[tex]x=\dfrac{351}{3}\\\\x=\$117[/tex]
So, the love seat cost $117.
what is 4 × 10^2 in scientific notation?
Answer:
104 = 10 × 10 × 10 × 10 = 10,000
Step-by-step explanation:
In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
Write a story that could represent this math problem.
Answer:
the answer is 1 and 1 fourth
Help Plzzzzzz.........
Answer:
The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]
The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]
Step-by-step explanation:
The line on the graph passes through the points A (0,6) and B (3,0)
b) Find the gradient of a line perpendicular to AB
First we will find gradient (slope) of AB
The formula used to find Slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=0, y_1=6, x_2=3, y_2=0[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-6}{3-0}\\Slope=\frac{-6}{3}\\Slope=-2[/tex]
So, we get slope: m = -2
Now, the gradient of line perpendicular to AB will be opposite to the slope of AB
The gradient of line perpendicular to AB is: m = [tex]\frac{1}{2}[/tex]
c) Find the equation of line passing through point A and perpendicular to AB
The equation of line can be found using slope m = [tex]\frac{1}{2}[/tex] and y-intercept b
We need to find y-intercept b:
Using slope m = [tex]\frac{1}{2}[/tex] and point A (0,6)
y=mx+b
6= [tex]\frac{1}{2}[/tex] (0)+b
6=0+b
b=6
So, y-intercept is b =6
So, Equation of line with slope m = [tex]\frac{1}{2}[/tex] and y-intercept b =6 is:
[tex]y=mx+b\\y=\frac{1}{2}x+6[/tex]
So, The equation of line passing through point A and perpendicular to AB is [tex]\mathbf{y=\frac{1}{2}x+6}[/tex]
An aquarium costs $85
plus $2 per fish. Write an equation to
find the cost c of an aquarium plus
any number of fish f. Make a table to
find the cost of an aquarium plus 3, 4,
5, or 6 fish.
Answer:
C=85+2x
Step-by-step explanation:
c=85+2(3) -- $91
c=85+2(4) -- $93
c=85+2(5) -- $95
c=85+2(6) -- $97
help me with this please:)
9514 1404 393
Answer:
parallel: 5perpendicular: -1/5Step-by-step explanation:
The equation of the given line is written in "slope-intercept form":
y = mx + b . . . . . . where m is the slope
Matching this form to the equation you have, you see that ...
m = 5 . . . the slope of your given line.
__
A parallel line will have the same slope: 5.
__
A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.
A perpendicular line will have a slope of -1/5.
Estimate a 10% tip on a bill of $179.54 by first rounding the bill amount to the nearest ten dollars.
Answer:
Step-by-step explanation:
First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18
so the tip will be around 18 dollars
hope it helped
Find the sum of all multiples of 9 between 1 and 5000.
Answer:
multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45 . ... The multiples of numbers calculator will find 100 multiples of a positive ... Here is a list of the first 20 multiples of the integers 1 through 20.
Step-by-step explanation:
Find X in this picture.
Answer:
x is in the top left of the triangle :)
Step-by-step explanation:
Answer:
its there....
Step-by-step explanation:
Write the following as an expression: One-fourth the difference between 2/3 and
1/2 *
Answer: 1/4-(2/3+1/2)
Step-1/4-by-step explanation:
help me please !!!!!!!
Answer:
B
Step-by-step explanation:
Don't worry I just know, give me Brainliest
Hi can i pls get some help oh this question pls
its 5x - 2 = -7
Answer:
x= -1
Step-by-step explanation:
5x1 would be -5 then -5 - 2 would be -7
Answer:
x = -1
Step-by-step explanation:
The key thing to remember is that every operation you do on either side needs to be done on the other.
Let's start by getting rid of that -2 you can do that by adding 2 to both sides of the equals sign:
5x - 2 = -7
5x - 2 + 2 = -7 + 2
5x - 0 = -5
5x = -5
The next step is to get rid of that 5 on the left. We can do that by dividing both sides by 5:
5x = -5
5x ÷ 5 = -5 ÷ 5
x = -1
And there you have it! x is equal to negative one.
Can anyone help me please?
Answer:
A' (-6, 4)
B' (2, 2)
C' (-2, -2)
Step-by-step explanation:
Multiply each number by 2.
Pythagorean Theorem-Finding the Hypotenuse
Calculate the missing side measurements using a2+b2=c2
Dividing with remainders
Tia is planting her garden with 15 plants. She wants them
planted in equal groups of 4. How many groups of 4 can she
make? How many plants will she have left over?
Answer:
im not sure but i think 3
Step-by-step explanation:
can someone help me find the area of this decagon?
Step-by-step explanation:
the given height is also the radius of the inscribed circle and the formula for the area is S=2r^2*sqrt(5*(5-2sqrt5))=490*tan18 which roughly rounds to 156.8
Two plumbers charge an initial fee and an hourly rate.
The equation y = 100 + 30x models plumber A's fee, where y is the total charge, in dollars, and x is the number of
hours worked
The table shown represents plumber B's total charge for different numbers of hours.
Plumber B
Hours Total Charges ($)
1
105
2.
160
3
215
2.
Part A: Which plumber charges more money per hour? Explain how you know.
Part B: Which plumber charges a higher initial fee? Explain how you know.
Part C: Which plumber charges less money for working 5 hours? Show your work to justify your answer.
Answer:
A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105
B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.
C) Plumber A: 250=100+30(5) Plumber B: 325=50+55(5)
Plumber A charges less money for working 5 hours.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that,
Two plumbers charge an initial fee and an hourly rate.
The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.
Part A:
From the table, we have (1, 105) and (2, 160)
Now, m=(160-105)/(2-1)
= 55
Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get
105=55(1)+c
c=60
Substitute m=55 and c=60 in y=mx+c, we get
y=55x+60 -----(II)
By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.
Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.
Part C: Substitute x=5 in y=100+30x, we get
y=$250
Substitute x=5 in y=55(5)+60, we get
y=$335
Plumber A charges less money for working 5 hours.
Therefore, plumber A charges more initial fee.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Help with this would mean a lot 12 points!!
Answer: I can only solve #3 The asnwer is -1.65x
Step-by-step explanation:
Multiplying a positive and a negative equals a negative
(+)x(-)=(-)
-X x 5.5 x 0.2 x 1.5. <---- Calculate the product
and you will get -1.65x
solve for x 2|x|+5=11
Answer:
Solve for x over the real numbers:
abs(x) = 3
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 3 or x = -3
Step-by-step explanation:
Sam wrote exactly half of his land in his daughter's name and ⅓ of his land in his son's name. He donated the remaining 10 acres to a charity.
1. What fraction of the total plot of land did Sam donate to charity?
Answer:
he donated 1/6 of the total land to charity
Step-by-step explanation:
1/2 went to daughter
1/3 went to daughter
combined, this equals 5/6 of the total land
this leaves 1/6 to be donated
.......................
Hey again!
The answer to your question is 98 feet squared
First, we find the new dimensions:
7 x 2 = 14
3.5 x 2 = 7
Area = length x width, so 14 x 7 = 98
Hope it helps!
will give brainliest:)
-2x-¼(12x-8)
answer
Answer:
here you go
Step-by-step explanation:
-5x+2
Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water
Match each expression with its value.
15 ÷12
12 ÷ (-15)
12 ÷ 15
15 ÷ (-12)
-0.8
0.8
-1.25
1.25
How to solve this I need it done by tonight please
Step-by-step explanation:
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12 eggs for $3. How much is the cost per egg?
3 pounds of peanuts for $7.50. How much is the cost per pound?
4 rolls of toilet paper for $2. How much is the cost per roll?
10 apples for $3.50. How much is the cost per apple?
Answer:
10 cents
Step-by-step explanation:
Answer:
$0.25 for each egg
$2.5 for each pound of peanuts
$0.5 for each toilet paper roll
$0.35 for each apple
Step-by-step explanation:
3/12=.25
7.50/3=2.5
2/4=.5
3.5/10=.35
The sum is rational or irrational number?
Answer:
a rational number
Step-by-step explanation:
1) First, find the sum of [tex]\frac{4}{7} +\frac{-1}{3}[/tex]:
[tex]\frac{4}{7} + \frac{-1}{3} \\= \frac{12}{21} - \frac{7}{21} \\= \frac{5}{21}[/tex]
2) Any number that can be written as a fraction is a rational number. Therefore, the sum, [tex]\frac{5}{21}[/tex], is rational.
Find the slope of the line (-2,0) (2,3)
Answer:
3/4
Step-by-step explanation:
y = {3/4} x + 1.5
The slope of the line passing through the points (-2, 0) and (2, 3) is 3/4.
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
∴ Slope of the line with points (-2, 0) and (2, 3) is,
Slope(m) = (3 - 0)/(2 + 2) = 3/4.
learn more about lines and slopes here :
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solve the inequality -2z-3<5. what is the value of z?
Hey there!
The answer to your question is z > -4
We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.
-2z - 3 < 5 add 3 to both sides
-2z < 8 divide both sides by -2, and flip the inequality sign
z > -4
Good luck! Hope it helps, and have a great day!
Answer:
The answer is z > -4
but a line down were is the (>)
I ready!
holpe it help
Answer this question please
Answer:
No correlation
Step-by-step explanation:
There's no discernible trend in the data.
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.