Answer:
I'm sure you mean miles, but the car will travel 135 mites.
Step-by-step explanation:
(180/4)3 = 135 miles. The car will be traveling at 45 miles per hour since 180 miles divided by four hours is 45, then you can multiply that by three to get the distance the car will travel in the next three hours. A function that models this equation is f(x)=45x.
Students in a poetry class are writing poems for their portfolios. The teacher wants them to write stanzas with certain numbers of lines each. Lucy wrote 9 short stanzas and 9 long stanzas, for a total of 198 lines. Quincy wrote 9 short stanzas and 6 long stanzas, for a total of 156 lines. How many lines do the two sizes of stanzas contain?
Answer:
x = 8
y = 14
the short stanzas contain 8 lines
the long stanzas contain 14 lines
Step-by-step explanation:
lets call the short stanzas x
and the long stanzas y
using given information, you can make this equation
9x + 9y = 198
you can also make this equation
9x + 6y = 156
simplify the first equation
9x + 9y = 198
9x = 198 - 9y
x = 198/9 - y
x = 22 - y
substitute x for 22 - y in the second equation to find y
9(22 - y) + 6y = 156
198 - 9y + 6y = 156
-9y + 6y = -42
-3y = -42
y = 14
substitute y for 14 in the first equation to find x
9x + 9y = 198
9x + 9*14 = 198
9x + 126 = 198
9x = 198-126
9x = 72
x = 72/9
x = 8
Help me please I only have 5 mins left
Answer:
A.5
B.16
C.11
D.3
E.5
Step-by-step explanation:
Evaluate the following expressions if x=3.
Please help me with this brainly
Answer:
A. 2^x = 2^3 = 2*2*2 = 8
B. x^2 = 3^2 = 3*3 = 9
C. 1^x = 1^3 = 1*1*1 = 1
D. x^1 = 3^1 = 3
E. [tex](\frac{1}{2})^x = (\frac{1}{2})^3 = (\frac{1}{2})(\frac{1}{2})(\frac{1}{2})=\frac{1}{8}[/tex]
A recent poll found that 76% of a random sample of 100 American movie goers thought the popcorn sold at the movie theatre was overpriced.
If the sample size was increased to 10,000 American movie-goers, what effect would this have on the estimated percentage of American movie-goers who
think the popcorn is overpriced?
Answer:
Step-by-step explanation:
Given that:
percentage of sample proportion = 76%
sample size = 100
Given that the sample proportion estimate is unbaised of the population proportion, then the percentage of all American movie-goers who think popcorn is overpriced is = 76%. Also, the mean of the sampling distribution appears to be independent of the sample size. Then, the estimate of the percentage will equally remain the same regardless it is even a sample of size 10000.
plz help me........................................................
Answer:
Please check the explanation.
Step-by-step explanation:
Question 1)
Input, x Output, y
0 0
1 4
2 8
3 12
It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.
Finding the slope between (0, 0) and (1, 2)
slope = m = y₂-y₁ / x₂-x₁
= (2-0) / (1-0)
= 2 / 1
= 2
Thus, the slope = m = 2
We know that the y-intercept can be obtained by setting x = 0 and solving for y.
It is clear at x = 0, y = 0
Thus, the y-intercept b = 0
We know that the slope-intercept form of linear equation
y = mx+b
substitute m = 2 and b = 0
y = 2x + 0
y = 2x
Thus, the equation that describes the equation is:
y = 2x
Question 2)
The output is eleven more than the input.
As 'y' represents the output.
'x' represents the input.
so
y = x+11
Question 3)
The output is the cube of the input.
As 'y' represents the output.
'x' represents the input.
so
y = x³
Question 4)
The output is one more than twice the input.
As 'y' represents the output.
'x' represents the input.
so
y = 2x+1
Question 5)
y = 7x
substitute x = -5
y = 7(-5)
y = -35
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
help hell help help gelp help
Problem Solving
14. Eight friends divide 3 pizzas
equally. How much pizza does
each friend get?
Answer:
3/8 of a pizza
Velma is analyzing spending habits of the gang. She find a mean monthly discretionary expense of $70 spent on having meals out with friends. The standard deviation of the distribution is 5. Give the range of amounts within 1 standard deviation of the mean and explain what percent of friends will have be within 1 standard deviation if it is a normal distribution.
Answer:
im here for the points
Step-by-step explanation:
Can someone help me?
Answer:
y =4(x-3)^2+2 => y=4x^2-24x+38
y=2(x-3)^2+4 => y=2x^2-12x+22
y=2(x+3)^2+4 => y= 2x^2+12x+22
Y= 4(x+3)^2+2 => y= 4x^2+24x+38
Step-by-step explanation:
Plz help me on this :))
The equation 4(-2u+7) is solved in several steps below. For each step, choose the reason that best justifies it. Answer choices are: addition property of equality, subtraction property of equality, multiplication prop., division prop., simplifying, and distributive property
Answer:
Find the solution belowStep-by-step explanation:
The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44
Given the expression
4 (-2u + 7) = 44
Step 1: Open the bracket by distributing 4 over -2u and 7
4 (-2u + 7)= 44
4(-2u) + 4(7) = 44 (distributive property)
-8u + 28 = 44
Step 2: Subtract 28 from both sides
-8u + 28 - 28 = 44 - 28 (subtraction property of equality)
-8u = 16
Step 3: Divide both sides by -8
-8u/-8 = 16/-8 (division property)
u = -2
Answer: A
The addition property of equality and then the division property of equality
Step-by-step explanation:
just did the quiz
When Colby was born, his parents invested $1,000 in a fund that paid an
annual interest of 8%. How old will Colby be when the investment is worth
at least $4,000?
Given :
When Colby was born, his parents invested $1,000 in a fund that paid an
annual interest of 8%.
To Find :
How old will Colby be when the investment is worth at least $4,000 .
Solution :
Let, time taken is x years.
So, the formula is :
[tex]P = A_o + \dfrac{A_o \times r\times t}{100}\\\\4000 = 1000 + \dfrac{1000\times 8\times t}{100} \\\\80t = 3000\\\\t = \dfrac{3000}{80} \ years\\\\t = 37.5\ years[/tex]
Therefore, Colby will be 37.5 years old.
The age of Colby will be [tex]37.5[/tex] years.
Simple interest :The amount after t years is given by,
[tex]A=P+(\frac{P*r*t}{100} )[/tex]
Where P is principal, r is rate and t is time in years.
Given that, [tex]A=4000,P=1000,r=8\%[/tex]
Substitute values in above equations.
[tex]4000=1000+\frac{1000*8*t}{100} \\\\\frac{1000*8*t}{100}=3000\\\\t=37.5years[/tex]
Learn more about the investment here:
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What is the solution for −40 = 10c?
A. c = 1
B. C = -1
C. c = -4
D. c = 4
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
state the slope and y-intercept for the graph of the equation y=-3x+5state the slope and y-intercept for the graph of the equation y=-3x+5
A woman weighed 100 pounds 5 years ago. This year, the woman weighs 115 pounds. What percent increase is this?
Answer:
15 Percent
Step-by-step explanation:
Can someone please help me with this
Answer:
90
Step-by-step explanation:
times 15 and 6 maybe
a carton of ice cream sold for $2.20 was on sale for 45% off. what was the original price of the ice cream?
Answer:
It was originally sold at roughly $4.887
Step-by-step explanation:
1) 2.20/.45 ≈ 4.8
2) 4.8 x .45 = 2.16
3) 4.88 x .45 = 2.196
4) 4.887 x .45 = 2.19915
The original price of the ice cream is $4.8
What is the discount price?Discounting a product means offering it at a lower price than the list price.
Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.
Let the original price of the carton be x.
x*45% = 2.20
x = 2.20*100/45
x = 4.8
Hence, the original price of the ice cream is $4.8
For more references on Discount price, click;
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i need help please... 30 points + brainliest if u answer all 5
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
25 POINTS FOR ANYONE THAT CAN HELP ME!! Rewrite 16r^2s^2 as a power of a product.
Answer:
(4rs)^2 = 16r^2s^2
This is how I would rewrite it as a power of a product.
As a power of a product, we can write the expression as -
(4rs)².
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
16r²s²
We can write the expression given -
16r²s²
As a power of a product, we can write -
(4 x 4 x r x r x s x s)
(4² x r² x s²)
(4rs)²
Therefore, as a power of a product, we can write the expression as -
(4rs)².
To solve more questions on exponents, visit the link below -
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Your receipt for your visit at a restaurant is
shown below. If you leave a 15% tip, what is the
new total amount? Explain your method.
pls hurry
Answer:
36.66
Step-by-step explanation:
Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.
Answer:
36.66
Step-by-step explanation:
Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.
PLS HELP NEED ANSWER ASAP PLSSSS
Eva left her home and drove for 4.3 hours due north at a rate of 60 miles per hour. After visiting a beach, she drove due south for 3.4 hours at 55 miles per hour.
How many miles is Eva from her home?
Answer:
166
Step-by-step explanation:
In the equation y=4 over 3 x +5 what is the slope and y-intercept
Answer:
Slope = [tex] \frac{4}{3} [/tex]
Y-intercept = 5
HELP ME!! I NEED SERIOUS HELP RN!
Answer:
hii, ok so (3, 2)
Step-by-step explanation:
Just imagine the dot at (3, -4). Now just go up 6 units. **i added a picture, its kinda junky, sorry**
what is the answer to this?
Answer:
Well in a standard equation you have y=mx + b Mx is the slope and b is the y-intercept So take a shot and solve it now!4e^2x=5
X approximately = ?
Answer:
5 = 5
Explanation:
36. Write the triangle congruence criterion illustrated
by each pair of triangles.
Answer:
A - ASA
B - ASA
C - SAS
D - SSS
Step-by-step explanation:
I hope this helps you out!
whats the area of 1.6m, 1.2m and 1.4m?
Answer:
= 2.1 meters
Step-by-step explanation:
The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA
Part I: Writing Linear Equations
1.
Write the equation of the line that has a slope of -1/4 and contains the point
(72, -30) in Point-Slope Form. (2 pts)
2.
A). Write the equation of the line that contains the points (3, 15) and (28, -35) in
Point-Slope Form. (2 pts)
B). Convert the Point-Slope equation from part A to Slope-Intercept Form. (2 pts)
Answer:
1. y= 2/5x+11
2. y=3x-15
2y-5x=9
Step-by-step explanation:
I did this already