Answer:
x = 1/5, y = 6
Step-by-step explanation:
5x + y = 7
y = 7 - 5x
Set equations equal to each other to eliminate y
7 - 5x = 20x + 2
7 = 25x + 2
5 = 25x
x = 1/5
y = 7 - 5(1/5)
y = 7 - 1
y = 6
Which statement about the ratios 15/18 and 18/27 is true?
A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.
Answer:
C
Step-by-step explanation:
brainliest pls
Answer:
D
Step-by-step explanation:
the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?
Answer:
A
Step-by-step explanation:
miles over hours
40 over 1
120 over 3
At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?
Answer:
3n+7=37 is the equation to solve how many were at each of the large tables
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
A right triangle has a leg lengths of 9 units and 12 units. Write an equation that can be used to determine the length of the hypotenuse, c.
Answer:
a^2+b^2=c^2
c=15 units
Step-by-step explanation:
You can use the pythagorean theorem to solve this equation. a^2+b^2=c^2.
If you substitute the leg lengths in, the new equation will be 9^2+12^2=c^2, c being the hypotenuse.
Next, you can simplify it to get 81+144=c^2. Simplifying it further, you get 225=c^2, which means that the length of the hypotenuse is 15. Hope this helped! :)
Answer:
15
Step-by-step explanation:
9^2+12^2=c^2
81+144=c^2
225=c^2
15=c
or you can see that this is a 3,4,5 triangle (just 3 times bigger)
hope this helps :)
Somebody Please solve this question without using L Hospital rule.
Evaluate if:
Answer:
1/2
Step-by-step explanation:
Given that,
[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]
Using L Hospital's rule to find it :
[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]
We have,
a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]
[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]
[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]
From equation (1) and (2) :
[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]
So, the value of the given function is 1/2.
what are the possible coordinates of point a?
Answer:
(0,5)
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Find the value of a3 + 3b2 when a = 2 and b = -2
Given:
a = 2 and b = -2.
To find:
The value of [tex]a^3+3b^2[/tex].
Solution:
We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.
Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get
[tex](2)^3+3(-2)^2[/tex]
[tex]=8+3(4)[/tex]
[tex]=8+12[/tex]
[tex]=20[/tex]
Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.
Please answer ASAP!
How many different arrangements of the letters of the word SCIENCE
have N as their first letter and S as their last?
Ignore this post, I have no Idea what it is, report this so it gets taken down so someone else can answer...
Simplify: 3a - 4 + 5a + 7 + 2(a + 1)
Answer:
10a + 5
Step-by-step explanation:
3a - 4 + 5a + 7 + 2(a + 1)
3a - 4 + 5a + 7 + 2a + 2
10a +5
Group the variables and non variables.
What is the slope between these two points? (-5, 2) and (2,8). You must show your work for this problem. *
Answer:
6/7
Step-by-step explanation:
Given the points :
(-5, 2) and (2, 8)
Slope can be obtained by using the relation :
(y2 - y1) / (x2 - x1)
From the points given :
x1 = - 5 ; y1 = 2 ; x2 = 2 ; y2 = 8
(8 - 2) / (2 - (-5))
(8 - 2) / (2 + 5)
6 / 7
Hence, slope between the two points = 6/7
HELPPPPPPP!!!!!!!!!!
Answer:
The Second choice y+5=-3/4(x-2
Step-by-step explanation:
4y=3x+8 solve for y so it's y=-3/4x+2
and use the slope which is -3/4
2 = x then 5 = y
you used to pass through formula and plug it in soooo it's
y+5=-3/4(x-2)
sorry if this doesn't make any sense, I'm terrible at explaining
How do you find the slope of a line in a graph?
Help me please
[tex]slope = \tan(angle \: made \: by \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: line \: with \: x \: axis) [/tex]
[tex]or \: [/tex]
[tex] = \frac{y1 - y2}{x1 - x1} [/tex]
Please help me with circle theorems
Answer:
x = 38°, y = 68°, z = 55°
Step-by-step explanation:
This would be easier to explain if the vertices were labelled , however
Angles at the circumference of the circle subtended on the same arc are congruent.
x and 38 are subtended on the same arc
y and 68 are subtended on the same arc
z and 55 are subtended on the same arc
Thus
x = 38°, y = 68° and z = 55°
Please help!!! Thank you!!!
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
Erica is hiking down a mountain. She descends at a rate of 36 feet per hour. She began the descent at 10 a.M. And finished at 6 p.M. What was her change in elevation after two hours?
Answer:
72 feet
Step-by-step explanation:
Given that:
The speed of Erica while descending down the mountain = 36 feet per hour
Time at which the descent was started = 10 AM
Time at which the descent was finished = 6 PM
To find:
The change in elevation after two hours ?
Solution:
First of all, let us learn about the relation between speed, distance and time.
The formula between speed, distance and time is given as:
[tex]Speed = \dfrac{Distance }{Time}[/tex]
Here, we are given that:
Speed = 36 feet per hour
Time = 2 hours
We have to find the Distance now.
Putting the given values:
[tex]36 = \dfrac{Distance}{2}\\\Rightarrow Distance = 36 \times 2\\\Rightarrow Distance = \bold{72\ feet}[/tex]
Change in elevation = 72 feet
I think of a number. I multiply it by 7. I add 12. The result is 40. What is the number I am thinking of?
PLEASE HURRY I HAVE A LITTLE BIT OF TIME TO TURN IT IN
when is Ann's distance from home staying the same? give a reason to support your answer
Answer:
4.25-5 minutes
Step-by-step explanation:
Its shown in the graph and table that the speed was 0 between those times.
A television is on sale for 20% off its original price,p. Write a multiplication expression to
describe the sale price of the television.
A. 0.20p
C. 0.20p + P
D. p-0.20p
B. 0.20p-p
sale price of the television is c
HELP ASAP PLS!!!
p(x)=x^3 : m(x)= 4p(x-3)-5
Describe the transformation(s) performed on p(x) that produced m(x).
Then, write a specific equation for m(x).
Super Salad Dressing is made with 8mL of oil for every 3mL of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Group of answer choices
3 mL of oil for every 8 mL of vinegar
16 mL of oil for every 9 mL of vinegar
40mL of oil for every 25mL of vinegar
56 mL of oil for every 21 mL of vinegar
Answer:
56mL of oil for every 21mL of vineger
Step-by-step explanation:
56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!
Statement: If 3x = 6, then x = 2. What is the contrapositive of the statement? Emeans not equal
Answer:
x=2
Step-by-step explanation:
you are correct for x=2 because 6 divided by 3 is 2
find the ratio of 5m to 11m in simple ways
Answer:
5m to 11m simplified to a ratio would be 5:11.
Step-by-step explanation:
To calculate ratios, try to think of them as fractions instead.
When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!
As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].
Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].
Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!
Hence, 5m to 11m simplified to a ratio would be 5:11!
Hope this helped!
Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days
to find the number of subscribtion sold we divide the money she made by the price of subscription
monday:
42.80/5.35=8 subscriptions sold
tuesday:
64.20/5.35=12 subscriptions sold
wednesday:
74.90/5.35=14 subscriptions sold
8+12+14=34 subscriptions sold in 3 days
Answer:
34 subscriptions she sold
Sino may Alam dito pasagot Naman po please
Answer:
Sorry i dont understand japanese... sorry;-;
Step-by-step explanation:
Please help me with this!!!!
t: 3(t + 3) + 5(3 + 2t) – 76 = 0
Answer:
[tex]\huge\boxed{\sf t = 4}[/tex]
Step-by-step explanation:
[tex]\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18075X + 2 = 12 two step eqation can someone help
what are the coordinates of the circumcwnter of this triangle
Answer:
A: (-1,5) B: (-2,-1) C: (8,-1)
Mr , Rodríguez tried to find the slope of the line, FIND HIS ERROR AND CORRECT IT .
Answer:
23
Step-by-step explanation: