Answer:
x = 7
Step-by-step explanation:
BD is an angle bisector of ∠ABC,
Therefore, by angle bisector theorem,
∠ABD ≅ ∠CBD
m∠ABD = m∠CBD
(2x + y) = (14 + y)
2x = 14
x = 7
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:
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.
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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) -- $97
Two plumbers charge an initial fee and an hourly rate.
The equation y = 100 + 30x models plumber A's fee, where y is the total charge, in dollars, and x is the number of
hours worked
The table shown represents plumber B's total charge for different numbers of hours.
Plumber B
Hours Total Charges ($)
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.
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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
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:
How to solve this I need it done by tonight please
Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
help me please !!!!!!!
Answer:
B
Step-by-step explanation:
Don't worry I just know, give me Brainliest
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:
will give brainliest:)
-2x-¼(12x-8)
answer
Answer:
here you go
Step-by-step explanation:
-5x+2
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]
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
Match each expression with its value.
15 ÷12
12 ÷ (-15)
12 ÷ 15
15 ÷ (-12)
-0.8
0.8
-1.25
1.25
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
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.
Pythagorean Theorem-Finding the Hypotenuse
Calculate the missing side measurements using a2+b2=c2
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.
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
Answer this question please
Answer:
No correlation
Step-by-step explanation:
There's no discernible trend in the data.
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"
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:
.......................
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!
GIVING BRAINLY!!! (for correct answer)
Answer:
C)3
Step-by-step explanation:
this is according to my test
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
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.
Write a story that could represent this math problem.
Answer:
the answer is 1 and 1 fourth
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.
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
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