Answer:
[tex]L = 111[/tex]
[tex]M = 69[/tex]
Step-by-step explanation:
Given
[tex]L = 12x + 45[/tex]
[tex]M = 18x - 30[/tex]
Required
Determine L and M
Since both angles are supplementary;
[tex]L + M = 180[/tex]
Substitute values for L and M
[tex]12x + 45 + 18x - 30 = 180[/tex]
Collect Like Terms
[tex]12x + 18x= 180 - 45 + 30[/tex]
[tex]30x= 165[/tex]
Divide both sides by 30
[tex]x = \frac{165}{30}[/tex]
[tex]x = 5.5[/tex]
Substitute 5.5 for x in [tex]L = 12x + 45[/tex] and [tex]M = 18x - 30[/tex]
[tex]L = 12 * 5.5 + 45[/tex]
[tex]L = 111[/tex]
[tex]M = 18 * 5.5 - 30[/tex]
[tex]M = 69[/tex]
Which of the following is equivalent to the given equation 7x2 = 98x - 343
a
(x+4)(x-3)
(x-7)
b
(x-6)(x+7)
d
Answer:
(x-7)
Step-by-step explanation:
i guessed and got it right
Find the value of n-7 when n=17.
Answer:
10
Step-by-step explanation:
17-7=10
Answer:
10
Step-by-step explanation:
f(x) = n - 7
f(17) = 17 - 7
f(17) = 10
Solve the literal equation cy−7=5d+3y for y.
y=
Answer: y = 5d + 7 / c - 3
Step-by-step explanation:
Step 1: Add -3y to both sides
cy - 7 + -3y = 5d + 3y + -3y
= cy - 3y - 7 = 5d
Step 2: Now, add 7 on both sides
cy - 3y - 7 +7 = 5d +7
= cy - 3y = 5d +7
Step 3: Factor out y
y(c - 3) = 5d + 7
Step 4: Divide both sides by c-3
y(c - 3) / c - 3 = 5d+7 / c-3
Your answer for this should be
y = 5d + 7 / c - 3
Hope this helped!
Given the graph below, which of the following statements is true?
Ту
5
4
3
1 2
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all X-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with
multileve
Answer:
it’s d on edg
Step-by-step explanation:
The equation which represents the graphed function is; y = (-1/3)x + 3
What is Equation of a line?The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.
here, we have,
By observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.
Additionally, the slope of the line can be evaluated by considering the two points given;
Slope, m = (2-3)/(3-0)
Slope, m = -1/3
Hence, the equation of the line is;
y = (-1/3)x + 3
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Those are the math questions I need the answers of
Answer:
1)
[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]
[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]
[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]
[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]
[tex]25\sqrt{2}[/tex]
2)
[tex]\frac{1}{5+2\sqrt{6}}[/tex]
Multiply [tex]5-2\sqrt{6}[/tex]:
[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]
Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]
[tex]\frac{5-2\sqrt{6}}{1}[/tex]
[tex]{5-2\sqrt{6}}[/tex]
a = 5, b = -2
The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yearly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%
Answer:
The answer is 40.1%
Step-by-step explanation:
I just took the test
The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.
When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:
= (Correlation coefficient)² x 100%
= 0.633² x 100%
= 0.4007 x 100%
= 40.1%
In conclusion, 40.1% of the variation in salary can be explained by age.
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In the Caribbean Sea, there are 15 yachts, 32 sailboats, and 8 trawlers. What fraction of the boats are sailboats?
Answer:
32/55
Step-by-step explanation:
You have to get the total number of boats first :
15 + 32 + 8 = 55
out of the 55 boats, 32 are sailboats
the fraction would be :
32/55
Hope this helps :)
Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent
(25 X 43) + (25 x 57) =
Answer:
2500
Step-by-step explanation:
Step 1:
( 25 × 43 ) + ( 25 × 57 )
Step 2:
1075 + 1425
Answer:
2500
Hope This Helps :)
What is 4(5n+7)-3n=3(4n-9)
Simplified?
Please help this us due tomorrow and I’m stuck
If m CGD=4x+2, m DGE=3x-5, m EGF=2x+10, find the following measures.
4) How many km in
58,795cm?
Please help thanks!!
Step-by-step explanation:
1 km is equal to 100,000 cm.
58,795 is close to 50,000, which is half of 100,000. So our estimate would be 1/2 km to 50,000 cm.
Convert 58,795 to a decimal.
0.58795
The decimal cannot be simplified so there is
0.58795 km in 58,795 cm
Hope it helps!
The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine which submarine has the greater range of depths.
Submarine A Submarine B
Minimum Depth −146 ft −194 ft
Maximum Depth −532 ft −621 ft
Answer:
Range A = 386ft
Range B = 427ft
B has the larger range.
Explanation:
To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.
Sub A:
-146ft - (-532ft) = 386 ft
Sub B:
-194ft - (-621ft) = 427 ft
Submarine B has a larger range.
–0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4
Answer:
0
Step-by-step explanation:
Given
- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression
= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]
= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]
= - 0.4(10) + [tex]\frac{12}{3}[/tex]
= - 4 + 4 = 0
You are creating identical coupon booklets to sell for a fundraiser. You have 40 dry-cleaning coupons, 24 coupons for a local restaurant, and 31 movie theater coupons. 5b) You find one additional movie theater coupon. What is the greatest number of identical coupon booklets you can make?
Answer:
if you're trying to make it with one of each kind in each booklet the answer is 24
2(y + 5) = 18 - 12
2y + 10 = 18 - 12
2y + 10 = 6
- 10 -10
2
22
y = -2
What is the name of this method ?
Answer:
Distributive property
R is in between P and S. PR = 15.5 mm, RS = 13.3 mm. Find PS
Answer:
28.8mm
hope this helped you
please mark as the brainliest (ㆁωㆁ)
If ST has endpoints S(-6, -1) and T(0, 1), then the midpoint M of ST lies on the x-axis.
SOMEONE PLEASE HELP!!!
Answer:
formula: M (x1 +x2/2 , y1+y2/2 )
M(-6+0/2 , -1+1/2)
M(-6/2 , 0/2)
M=(-3,0)
Step-by-step explanation:
The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)
What is a midpoint?A midpoint is the center of two points, It lies at the same distance from the two endpoints.
The coordinates of the endpoints of a line ST are as follows:
The coordinate of S is (-6, -1)
The coordinate of T is ( 0, 1)
The midpoint of the line ST is M
The coordinates of M is given as,
M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2
x₁ = -6
x₂ = 0
y₁ = -1
y₂ = 1
The coordinates of M is,
( -6 +0) / 2 , ( -1 +1) /2
-3, 0
The coordinates of the midpoint of the line are ( -3, 0).
To know more about Midpoint
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[tex]2 + \frac{60}{( - 3)} - 5( - 2)[/tex]
Simplify please
Ronald is trying to reconstruct his spending pattern from May. He knows that he had $315 in his account on May 1, but after that, his receipts and balance statements are all scrambled. Here are Ronald’s records: Date Transaction Type Amount ($) 5/25 Purchase 66 5/18 Purchase 90 5/30 Purchase 188 5/24 Deposit 151 5/22 Purchase 152 5/8 Deposit 104 5/3 Purchase 175 5/6 Purchase 82 Assuming that this is a complete, if scrambled, record of Ronald’s May spending and that any overdraft fees incurred do not affect the running total, how many times did Ronald overdraw his account in May? a. Ronald never overdrew his account. b. Ronald only overdrew his account once. c. Ronald overdrew his account twice. d. Ronald overdrew his account more than twice. Please select the best answer from the choices provided A B C D
Answer: C. Ronaldo overviewed his account twice.
Step-by-step explanation:
Just took a test on edge.
Please Help!! 10 Points! Brainliest Answer
please answer this question for geometry
Answer:
D is the correct answer in 95% sure :)
Directed line segment porque is shown on the coordinate plane. What are the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1)?
Answer: (2,3).
Step-by-step explanation:
We need to find the coordinates of the point 1/3 of the way from point P(4,4) to point Q(-2,1).
Let the point be A.
[tex]PA:PQ=1:3[/tex]
[tex]PA:AQ=PA:(PQ-PA)=1:(3-1)=1:2[/tex]
It means the point A divide the segment PQ in 1:2.
Section formula: If a point divide a segment is m:n.
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
[tex]A=\left(\dfrac{1(-2)+2(4)}{1+2},\dfrac{1(1)+2(4)}{1+2}\right)[/tex]
[tex]A=\left(\dfrac{-2+8}{3},\dfrac{1+8}{3}\right)[/tex]
[tex]A=\left(\dfrac{6}{3},\dfrac{9}{3}\right)[/tex]
[tex]A=\left(2,3\right)[/tex]
Therefore, the required coordinates are (2,3).
Is 0.35217534 a rational
Answer: YES
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is in integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
--------------------------------------------------------------
0.35217534
It is a terminating decimal, which fits the third point.
So it is rational.Hope this helps!! :)
HELP I WILL GIVE BRAINLIEST I NEED ANSWER ASAP!!!
Mr. Green wants to know how far he can run. He knows he can run 103,000 mm. How many miles can he run? Show all work if you want to receive credit.
I know the answer is 0.064 miles but I need the work!! help please
Answer:
1 Mile = 1609000 mm.
1.03 × 10^5 × 6.21371192237337 = 0.064 mile
103000 /1609344= 103000 mm.
Step-by-step explanation:
The beginning process is just to find the amount that mm = miles. After that you will move the decimal to then get 0.064 of a mile.
103,000 mm is 0.064 miles
So he can run 0.064 miles.
Given,
He can run = 103,000 mm
We need to find how many miles he can run.
How many mm in a mile?1 mile = 1609344 mm
Find how many miles is 103,000 mm.
We have,
1 mile = 1609344 mm
Multiplying both sides by 103,000
103,000 x 1 mile = 103,000 mm x 1609344
Divide both sides by 1609344
( 103,000 x 1 mile ) / 1609344 = (103,000 mm x 1609344) / 1609344
0.064 miles = 103,000 mm
This means 103,000 mm is 0.064 miles.
Thus 103,000 mm is 0.064 miles
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Solve the compound inequality. −5x≤−10 or 7x−21≥14
-5x ≤ -10
Divide both sides by -5
x ≥ 2
7x - 21 ≥ 14
Add 21 to both sides
7x ≥ 35
Divide both sides by 7
x ≥ 5
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
Answer:
10.75 is the answer I think
What would a solution to h(t) = 0 mean in this situation?
Step-by-step explanation:
is this probability question
What is the length of the diagonal, d, of the rectangular prism shown below?
Round your answer to the nearest tenth - my god someone please help I’ve been up all night and just need sleep :(
Step-by-step explanation:
using Pythagoras theorem
d}^{2} =4}^{2+7}^{2}
d}^{2}=16+49
d}^{2}=65
d}^{2}=√65
[tex] \sqrt{d } ^{2} = \sqrt{65} [/tex]
d=8.06 or 8
The height of Dougal is 1.84 metres. The height of Seb is 1.7 metres. Write the height of Dougal as a fraction of the height of Seb. Give your answer in its simplest form. Write your fraction in the form a / b eg * 19/16 would be 19/16
Answer:
No se bro suerte con eso V:
Step-by-step explanation: