Answers
Answer:
x = 20
Step-by-step explanation:
7x° + (x + 20)° = 180° (linear pair)
Solve for x
7x + x + 20 = 180
Add like terms
8x + 20 = 180
8x + 20 - 20 = 180 - 20
8x = 160
8x/8 = 160/8
x = 20
Related Questions
You deposit $600 in an account. The account earns $45 simple interest in 3 years. What is the annual interest rate?
Answers
Answer:735
Step-by-step explanation:45x3=135
135+600=735
Kim spent 1/5 of her money at the mall. What percent of Kim’s money was spent at the mall?
Answers
Answer:
20%
Step-by-step explanation:
1/5 × 100 = 20%
Note: to change ANY fractions to percentage form, multiply with 100
I NEED THIS QUICK! What is the volume of the rectangular prism?
Answers
Answer:
30 3/8
Step-by-step explanation:
Find the equation of a line that passes through the point (3,1) and has a gradient of -3. Leave your answer in the form y = m x + c
Answers
Answer:
[tex]y = (-3)\, x + 10[/tex].
Step-by-step explanation:
The question requires that the equation should be in the slope-intercept form [tex]y = m \, x + c[/tex]. The [tex]m[/tex] and [tex]c[/tex] in this equation are constants. In particular:
[tex]m\![/tex] would represent the slope of this line (also known as the gradient of this line,) whereas[tex]c[/tex] would be the [tex]y[/tex]-intercept of this line.The question states that the slope of this line is [tex](-3)[/tex]. Therefore, [tex]m = -3[/tex]. Thus, the equation for this line should be in the form [tex]y = (-3)\, x + c[/tex].
The value of constant [tex]c[/tex] could be found using the other piece of information: the point [tex](3,\, 1)[/tex] is in this line. In other words, the solution [tex]\text{$x = 3$ and $y = 1$}[/tex] should satisfy the equation [tex]y = (-3)\, x + c[/tex].
Substitute [tex]\text{$x = 3$ and $y = 1$}[/tex] into the equation [tex]y = (-3)\, x + c[/tex] and solve for [tex]c[/tex]:
[tex]1 = (-3) \times 3 + c[/tex].
[tex]1 = -9 + c[/tex].
[tex]c = 10[/tex].
Hence, [tex]y = (-3) \, x + 10[/tex] would be the slope-intercept form of the equation of this line.
What should be multiplied on both sides to solve the following equation: (3)/(4)x=(9)/(2)
Answers
Answer:
3/4x = 9....multiply both sides by 4 <==
3x = 9 * 4
3x = 36
x = 36/3
x = 12
Step-by-step explanation:
20 POINTS!!!
Let f(x) = −3(2)^x and g(x) = x − 14.
Complete the table to determine the solutions of f(x) = −3(2)^x = g(x) = x − 14.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table values are shown in the attachment. The function values are equal when x=2.
The solution to f(x) = g(x) is x = 2.
Mel took out a loan of $40,000 at 14 percent on March 16, 2015 which will be due on January 9, 2016. Using exact interest the amount of Mel's interest cost is:
Answers
Answer:
the interest cost is $4,679.45
Step-by-step explanation:
The computation of the interest cost is shown below:
= Loan amount × rate of interest × given no of days ÷ total no of days in a year
= $40,000 × 14% × 305 days ÷ 365 days
= $4,679.45
hence, the interest cost is $4,679.45
Determine the equation of the circle graphed below.
y
10
8
6
o
2
-10
-8
-6
4
-2
4
6
8
10
-2
-6
-10
Answers
Answer:
(x-7)²+(y-4)²=3²Step-by-step explanation:
to understand thisyou need to know about:circle equationPEMDAStips and formulas:circle equation standard form: (x-a)²+(y-b)²=r²given:(a,b)=(7,4)r=3let's solve:substitute the values of a,b and r :(x-7)²+(y-4)²=3³and
we are done
The equation of a circle is a measure of its center and its radius.
The equation of the circle is: [tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]
The general equation of a circle is [tex](x - a)^2 + (y - b)^2 + r^2[/tex]. Where:
[tex](a,b) \to[/tex] center
[tex]r \to[/tex] radius
From the given figure, we have:
[tex]r = 3[/tex]
[tex](a,b) = (7,4)[/tex]
So, the equation of the circle is:
[tex](x - a)^2 + (y - b)^2 + r^2[/tex]
[tex](x - 7)^2 + (y - 4)^2 = 3^2[/tex]
[tex](x - 7)^2 + (y - 4)^2 = 9[/tex]
Open brackets
[tex]x^2 - 14x + 49 + y^2 -8y + 16 = 9[/tex]
Collect like terms
[tex]x^2 + y^2 - 14x -8y + 49 + 16 - 9 = 0[/tex]
[tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]
Hence, the equation of the given circle is: [tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]
Read more about equations of circles at:
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Last year, Rebecca received a grant of g dollars for school. This year she received $6000 plus five-months of last years amount
Answers
Answer:
whats the question there no question.
Step-by-step explanation:
At the beginning of spring, Elijah planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?
Answers
Answer:32
Step-by-step explanation:25+ 1(7)
The angles below form a linear pair.
What is the measure of angle GFH?
Answers
Answer:
55
Step-by-step explanation:
A social media website had 350,000 followers in 2010. The number y of followers
increases by 2% each year.
a. Write an exponential growth function that represents the number of followers t
years after 2010
b. How many people will be following the website in 2016? Round your answer to the
nearest thousand.
Answers
Answer:
a) [tex]y(t) = 350(1.02)^t[/tex]
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:
[tex]y = y(0)(1+r)^t[/tex]
In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that: [tex]y(0) = 350, r = 0.02[/tex]
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:
[tex]y(t) = 350(1 + 0.02)^t[/tex]
[tex]y(t) = 350(1.02)^t[/tex]
b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).
[tex]y(6) = 350(1.02)^6 = 394.2[/tex]
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
Simplify the expression:
3(1 + 6m) =
Answers
Answer:
3 + 18m
Hope this helped again :)
NEED HELP FRE BRAINLIST
Answers
Answer:
D. 9.8 Valentines Day!
............
x^2 + 10^2 = 14^2
x^2 = 196-100 = 96
x = sqrt(96) = 9.80 ft
ans would be D) 9.8 ft
Evaluate -3x+4y when x=-7 y=-10
Answers
Answer:
-19
Step-by-step explanation:
There were five teams entered in a competition. Each team consisted of either only boys or only girls. The number of team members was 9, 15, 17, 19 and 21. After one team of girls had been knocked out of the competition, the number of girls still competing was three times the number of boys. How many girls were in the team that was eliminated?
Answers
Answer:
21.
Step-by-step explanation:
Since there were five teams entered in a competition, and each team consisted of either only boys or only girls, with the number of team members being 9, 15, 17, 19 and 21 members, if after one team of girls had been knocked out of the competition, the number of girls still competing was three times the number of boys, to determine how many girls were in the team that was eliminated, the following calculation must be performed:
9 + 15 + 17 + 19 = 60/4 = 15
9 + 15 + 17 + 21 = 62/4 = 15.5
9 + 15 + 19 + 21 = 64/4 = 16
9 + 17 + 19 + 21 = 66/4 = 16.5
15 + 17 + 19 + 21 = 72/4 = 18
Thus, since 15 x 3 equals 45, and 45 plus 15 equals 60, the number of girls on the team that was eliminated was 21.
A desk is purchased for $277. Calculate it's worth after depreciating for 5 years if it's depreciation rate is 20% per year
Answers
Answer: $90.77
Step-by-step explanation:
Just did the test
The desk cost $90.76 after Depreciation rate.
What is Depreciation rate?The depreciation rate is the proportion at which an asset depreciates during its anticipated useful life. It may also be described as the portion of an organization's long-term investment in an asset that the organisation claims as a tax-deductible expense over the course of the asset's useful life.
Given:
A desk is purchased for $277.
In one year the depreciation rate is 20% per year.
So, In one year depreciation amount
= 20% of 277
= $55.4
After 2nd year
= 221.6 - 20% of 221.6
= $177.28
After 3rd year
= 177.28- 20% of 117.28
= $141.824
After 4th year
= $113.4592
After 5th year
= 113.4592 - 20% of 113.4592
= $90.76
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The one in the middle of the image. Many thanks
Answers
1. 1 + 1
2. 2+2
3. 3 + 3
Answers
Step-by-step explanation:
1+1 = 2 2+2 = 4 3+3 = 6Hope it helps :)❤
Answer:
1.2
2.4
3.6
1+1=2
A.) all real numbers
B.) y>6
C.)y is greater than or equal to -6
D.)x= √6 or -√6
Answers
Answer:
C.) y is greater than or equal to -6
Step-by-step explanation:
The range are all the set of y-values that are plotted on the vertical axis (y-axis).
The range starts from -6 and above. Which is y ≥ -6
Therefore, range of the function is said to be:
C.) y is greater than or equal to -6
Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answers
Answer:
Perimeter of the given polygon = 48 ft
Step-by-step explanation:
Perimeter of the given polygon = Sum of measures of all sides of the polygon
= AB + BC + CD + DE + EF + FA
= 9 + 7 + CD + 8 + 4 + 15
= 43 + CD
Since, CD = AB - EF
= 9 - 4
= 5 ft
Therefore, perimeter of the given polygon = 43 + 5
= 48 ft
lucy is tracking the progress of growth of 2 plants. today her daffodil is 15cm high and it grows 1.5 centimerters per day. today her rose is 10 cm high and grows 2 cm each day. after how many days will both plants be the same height
Answers
Answer:
hello
Step-by-step explanation:
it willl be at least 5 days
if im wrong im really sorrry
A builder needs 30 centimeter lengths of lumber to reinforce a stud wall. How many can he cut from a piece that is five meters long? Write how you can figure it out.
Answers
Answer:
16
Step-by-step explanation:
5m is equivalent to 500cm
500 ÷ 30 = 16.6666666667
= 16
The number of the 30 cm lumbers will be equal to 16.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a builder needs 30-centimetre lengths of lumber to reinforce a stud wall.
The number of the lumbers will be calculated as,
Total length = 5 m = 500 cm
Each lumber size = 30 cm
Number = 500 / 30
Number = 16.666
Therefore, the number of the 30 cm lumbers will be equal to 16.
To know more about an expression follow
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Which of the following pairs correctly matches the inventor with the invention?
Wilbur and Orville Wright: telephone
Rudolf Diesel: oil-burning internal-combustion engine
Thomas Edison: motorized airplane
Alexander Graham Bell: phonograph
Answers
m s
1 6
2 12
3 ?
4 24
A shipyard produces 6 new ships each month. Let m represent the number of months and s represent the total number of ships produced. Complete the table using the function s=6m. Explain your thinking.
Answers
Answer:
18
Step-by-step explanation:
s = 6m.... (given)
We need to find the value of s when m = 3
So plug m = 3 in the above equation, we find:
s = 6*3
s = 18
An open topped fish tank has a length of 30 inches width of 10 1/2 inches and the height of 12 inches what is the volume of the water in the tank of the tank is 3/4 filled
Answers
Answer:
Step-by-step explanation:
height of water = ¾×12 = 9 inches
volume of water = 30×10.5×9 = 2,835 in³
URGENT!!
given= L1≈L4
prove= L2 ≈ L3
what are the statements and reasons
Answers
Answer:
<2≅<3 Given
<2≅<1 verbally opposite angle are equal
<3≅<1 since <2≅<3
<4≅<3 verbally opposite angle are equal
<1≅<4 since <3≅<1
Step-by-step explanation:
have a nice day/night bye!!!
Karla makes paper airplanes. Today, it takes her 32 min to make 16 paper airplanes.
She plans to make paper airplanes for 96 min tomorrow and to work at the same
rate. How many paper airplanes will Karla make tomorrow?
A
192
B
48
2
C 6
D 3
Answers
Answer:
48/b
Step-by-step explanation:
32÷16=2 so it takes two minutes per airplane. if she makes airplanes for 96 minutes at the same pace (2 min per airplane) then you need to divide 96 by 2 which gives you 48!
Answer:
48
Step-by-step explanation:
Copy the problems on to your paper. Use your notes as reference.
Simplify each of the following:
Answers
Answer:
1. x⁴³/³⁵
2. 1/x⁶
3. x⁴/2
Step-by-step explanation:
1. ⁷√x³. ⁵√x⁴
The above expression can be simplified as follow:
Recall:
ᵐ√aⁿ = aⁿ/ᵐ
⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵
Therefore,
⁷√x³. ⁵√x⁴ = x⁴³/³⁵
2. x¯³ / x⁵x¯²
The above expression can be simplified as follow:
Recall:
aⁿ × aᵐ = aⁿ⁺ᵐ
x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³
Thus,
x¯³ / x⁵x¯² = x¯³ / x³
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
x¯³ / x³ = x¯³ ¯ ³ = x¯⁶
Recall
a¯ⁿ = 1/aⁿ
x¯⁶ = 1/x⁶
Therefore,
x¯³ / x⁵x¯² = 1/x⁶
3. 5(x⁴)³ / 10x⁸
The above expression can be simplified as follow:
Recall:
(aⁿ)ᵐ = aⁿ×ᵐ
5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸
Recall:
aⁿ / aᵐ = aⁿ ¯ ᵐ
5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2
Therefore,
5(x⁴)³ / 10x⁸ = x⁴/2
A PIECE OF WIRE IS 24 INCHES LONG. IF THE WIRE WAS CUT INTO 6 EQUAL PIECES. HOW LONG IS EACH PIECE OF WIRE?
Answers
6 x 4 = 24
24 / 6 = 4