Answers
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
Related Questions
What is the range of y=3sin(x)?
Answers
Answer:
The range is -3≤y≤3 - 3≤y≤3.
Step-by-step explanation:
I hope this helps! :)
4b) Work out the mean and standard deviation of the following: picture included
Note: I ended up with the simultaneous equations, which are correct according to the markscheme BUT the answers I got upon solving them were incorrect.
μ = 170 + 1.6449σ
μ = 180 - 0.8416σ
What I got after solving these were:
μ = 169.5306859
σ = 12.44864932
But according to the markscheme, I should have gotten:
μ = 176.615...
σ = 4.021...
Can someone explain to me where I've gone wrong?
Answers
Answer:
Yes, your simultaneous equations are correct;
Solve them like so:
170 + 1.6449σ = 180 - 0.8416
2.4865σ = 10
σ = 4.0217...
μ = 170 + 1.6449(4.0217...)
μ = 176.615...
MS is correct, you must've made an error in solving or rearranging
Find the magnitude of the following vector: v=15i + 8j
Answers
[tex]\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17[/tex]
A jacket costs $80. it is on sale for 35% off. what is the discount?
Answers
Answer:
$52
Step-by-step explanation:
35% off
100% - 35% = 65%
65/100 = 0.65 ( multiplier)
0.65 x 80 = 52
Answer:
$28
Step-by-step explanation:
35/100 = x/800
0.35 * 800 = $28
you and your friend are both saving your allowance for summer vacation. You start with $50.50 in the bank, and your allowance is $8.50 per week. Your friend starts with $8.00 in the bank, and they get twice as much for allowance. After how many weeks do you have the same amount of money
Answers
Answer:
5
Step-by-step explanation:
17+8+17+17+17+17=93
8.50+50.50+8.50+8.50+8.50+8.50=93
17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer
Answers
Answer:
Option A
Step-by-step explanation:
Let,
Length = 5x
Breadth = 4x
Perimeter = 2(l + b)
=> 144 = 2(5x + 4x)
=> 144 = 2(9x)
=> 144 = 18x
=> 144/18 = x
=> 8 = x
Therefore,
Length = 5x = 5(8) = 40 cm
find three consecutive number whose sum shall equal 45
Answers
Answer:
14, 15, 16
Step-by-step explanation:
n + n+1 + n + 2 = 45
3n + 3 = 45
3n = 42
n = 14
14, 15, 16
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
15
Step-by-step explanation:
7.5*2
Answer:
15 ft
Step-by-step explanation:
1 inch is 2 ft
remember 1 ft is 12 inches so,
1 inch is 24 inches
so 7.5 inch will be 24*7.5 = 180 inches
180 inch / 12 = 15 ft
Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
cost for the night was $347.50. How many hours did Kaya rent the limo for?
Answers
Answer:
3 hours
Step-by-step explanation:
it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.
Answer:
The total is 3 hours
Hope this help! good luck :)
which is the next two equivalent fractions of 2/3 , 5/7
Answers
Answer:
[tex]\frac{2}{3}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{6}{9}[/tex]
Ans: [tex]\frac{2}{3}[/tex] => [tex]\frac{4}{6}[/tex] and [tex]\frac{6}{9}[/tex]
[tex]\frac{5}{7}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]
[tex]\frac{5}{7}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]
Ans: [tex]\frac{5}{7}[/tex] => [tex]\frac{10}{14}[/tex] and [tex]\frac{15}{21}[/tex]
Question 7 of 25
If f(x) = 3x2 - 2x + 4 and g(x) = 5x2 + 6x - 8, find (f+ g)(x).
A. (f+ g)(x) = -2x2 - 8x+ 12
B. (f+g)(x) = 8x2 + 8x + 12
O C. (f+g)(x) = 2x2 + 8x - 12
D. (f+g)(x) = 8x2 + 4x - 4
Answers
Answer:
D. (f+g)(x) = 8x^2 + 4x - 4
Step-by-step explanation:
The notation (f+g)(x) is shorthand for f(x) +g(x).
(f +g)(x) = f(x) +g(x) = (3x^2 -2x +4) +(5x^2 +6x -8)
= (3 +5)x^2 +(-2 +6)x +(4 -8)
(f +g)(x) = 8x^2 +4x -4
A?
B?
C?
D?
If your right I’ll mark brainlest !<3
Answers
= -7y^5
So it’s A
Hope this helps!
a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5
Answers
Write an equation for each one set the equal to each other and solve.
A: 35 + 3x
B: 27.50 + 4.50x
35 + 3x = 27.50 + 4.50x
Subtract 27.50 from both sides:
7.50 + 3x = 4.50x
Subtract 3x from both sides
7.50 = 1.50x
Divide both sides by 1.50
X = 5
Answer: 5
What is the relationship between 0.04 and 0.004?
Answers
Answer: 0.04 is exactly 10 times as much as 0.004. If we multiply 0.004 by 10, we will get 0.04 as an answer. In other words, we can say that 0.004 is exactly 1/10th of 0.04. It means that if we divide 0.04 by 10, we will get 0.004 as an answer.
Answer:
Look below
Step-by-step explanation:
0.04 means 4 hundredths since if you divide 4 by 100 you get 0.04. You can try it yourself on a calculator. 0.004 is 4 thousandths. Same thing with 0.04, if you divide 4 by 1000 you will get 0.004. Hope this helps! If you want me to explain a bit more I can try
5 kilometers in 30 minutes how many kilometers can she run in 45 minutes
Answers
8 kilometers
1 kilometer every 6 minutes
can anyone find the area to this?
Answers
Answer:36
Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12
solve pls brainliest
Answers
I'm just doing this for achievement sorry bro
Step-by-step explanation:
dud
Help ASAPPPPP PLZZZZZZ
Answers
The ratio of United States gold medals to Russia gold medals was about to 1. If the US has 46 and Russia has 24, then what is the ratio
Answers
Answer;
23:12
Step-by-step explanation:
if USA has 46medals and Russia had 24medalso 46 : 24lowest term method 2in 46 23and 24/2is 12 answer 23 : 12The ratio between the US and Russia is 23:12
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here US has 46 and Russia has 24 and thus the ratio is
46:24=23:12
Hence, the required ratio is 23:12
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Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0
Answers
Answer:
8
Step-by-step explanation:
Isn't it simple because all other numbers are less than 4?
Is Helena correct? If so, explain how she can tell that the diagram represents if she is not correct,
explain why not
Answers
Answer:
yes it she is
Step-by-step explanation:
Given Polynomial:
5x-4x^2+3
Solve for x=0
Answers
[tex]\huge \rm༆ Answer ༄[/tex]
Plug the value of x as 0 in the given Polynomial ~
[tex] \sf5x - 4 {x}^{2} + 3[/tex][tex] \sf(5 \times 0) - (4 \times 0 {}^{2} ) + 3[/tex][tex] \sf0 - 0 + 3[/tex][tex] \sf3[/tex]Therefore , the equivalent value is 3
Rosena bought an 8 pack of donuts. The donuts cost $28.00 all together. What is the unit rate for the donuts in dollars?
Answers
Answer:
$3.50
Step-by-step explanation:
I hope this helps!
Answer:
$3.50 per Donut
Step-by-step explanation:
Well if the total cost is $28.00 and there were eight donuts, then out equation would be 8 x ____=28
So, 28/8=3.5
5. Name the side included by
AB
AC
BC
none of these.
Answers
Answer:
AB
Step-by-step explanation:
Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
which expression is equivalent to the expression (2x+4)(x-6) pls i need it
Answers
Answer:
[tex]B.~2x^2-8x-24[/tex]
Step-by-step explanation:
FOIL the terms and then add like terms.
[tex]2x\cdot x=2x^2\\2x\cdot -6=-12x\\4\cdot x=4x\\4\cdot -6=-24\\\\2x^2-12x+4x-24\\2x^2-8x-24[/tex]
please help thx
calculate the value of x
calculate the value of y
calculate the value of z
Answers
Help please I don’t understand
Answers
Answer:
4
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
4²-4¹ 2-0. -2/6= -1/3
x²-x¹ = 4-2 =
Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.
Answers
The value of x in the expression is 18(24/30).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
8(3/5) = (3/4)x - 5(1/2)
43/5 = 3x/4 - 11/2
43/5 + 11/2 = 3x/4
(86 + 55)/10 = 3x/4
141/10 = 3x/4
3x = 141 x 4 / 10
x = 564/30
x = 18(24/30)
Thus,
The value of x is 18(24/30).
Learn more about expressions here:
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A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9. 5x for the data in the scatterplot? For each 1 minute, the runner ran 9. 5 miles. For each 9. 5 minutes, the runner ran 1 mile. The minimum distance with a recorded time is 9. 5 miles. The maximum distance with a recorded time is 9. 5 miles.
Answers
The interpretation that describes a line of best fit of y = 9.5x for the data in the scatterplot is (a) For each 1 minute, the runner ran 9.5 miles
The equation of the line of best fit is given as:
[tex]y = 9.5x[/tex]
The line of best fit is represented as:
[tex]y = mx + b[/tex]
Where m represents the rate or slope.
So, by comparison:
[tex]m = 9.5[/tex]
This means that, the number of miles travelled every minute is 9.5
Hence, the true statement is (a)
Read more about regression equations at:
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please help me guys .if 5+5=10an 10+10=20 whats does 20+20 equal
Answers
Answer:
20 + 20 = 40