Answer:
[tex]y = 15.5[/tex]
Step-by-step explanation:
Given
[tex]Total\ Distance = 20km[/tex]
[tex]Walks\ Hours= \frac{3}{2}\ hours[/tex]
[tex]Walks\ Rate = \frac{3km}{1\ hour}[/tex]
Required
Determine the distance (y) covered by his car
First, we calculate the distance walked.
This is calculated as follows;
[tex]Distance = Walk\ Hours * Walk\ Rate[/tex]
[tex]Distance = \frac{3}{2}\ hours * \frac{3km}{1\ hour}[/tex]
[tex]Distance = \frac{3}{2}* 3km[/tex]
[tex]Distance = \frac{3* 3km}{2}[/tex]
[tex]Distance = \frac{9km}{2}[/tex]
[tex]Distance = 4.5km[/tex]
This means that he walked 4.5 km
The total distance can be expressed as a sum of distance covered while walking and distance covered by car.
i.e.
[tex]Walk + Car = Total[/tex]
Make Car the subject
[tex]Car = Total - Walk[/tex]
This gives
[tex]y = 20 - 4.5[/tex]
[tex]y = 15.5[/tex]
Hence, his car travelled 15.5km
In December, the average number of daily shoppers at North Point Mall in 2007 was 1600. This number shrank to 1000 daily shoppers by December 2014. What is the exact percent decrease in the average number of daily shoppers? Show your work.
Answer:
you trying to cheat
Step-by-step explanation:
the answer is 62.5% percent.
Find the value for x.
5x - 12
3x + 30
48
The value of x will be;
⇒ x = 3.75
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
Now,
Solve the expression for x as;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
⇒ 8x - 12 + 30 = 48
⇒ 8x + 18 = 48
Subtract 18 both side as,
⇒ 8x - 18 = 48 - 18
⇒ 8x = 30
Divide by 8 as;
⇒ x = 30/8
⇒ x = 3.75
Thus, The value of x will be;
⇒ x = 3.75
Learn more about the mathematical expression visit:
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PLEASE HELP AND EXPLAIN!
Jada raised 60% of $20 goal. How much did she raise?
Answer:
$12
Step-by-step explanation:
setting up a proportion and putting 20 of 100 and 60 over x, we multiply 60 and 20 then divide one hundred from both sides leabing. We should have 100/x = 1200/100. Doing this gives us x = 12.
Answer:
Jada raised $8
Step-by-step explanation:
$20 with 60% discount, you will pay 20 - 12 = 8 dollars.
Factor completely x^2 - 81
Factor [tex]x^2-81[/tex] by using the difference of two squares.
[tex]x^2-y^2=(x+y)(x-y)[/tex]
Our x is x
Our y is 9 (As y² = 81, therefore a single y would be 9)
[tex](x+9)(x-9)[/tex]
Thus, the final answer is (x+9)(x-9)
PLEASE HELP!!
• Which of these are equivalent to -11/4 ? Choose ALL that apply.
The options equivalent to the given fraction are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
[tex]-\frac{11}{4}[/tex] is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator. [tex]\frac{-11}{4}[/tex] can also be written as -11 ÷ 4.
In order to determine the answers, take note of the following rules:
When a negative number is divided by a positive number, the result is a negative number. -8 ÷ 2 = -4When a positive number is divided by a negative number, the result is a negative number. 8 ÷ -2 = -4When a negative number is divided by a negative number, the result is a positive number. -8 ÷ -2 = 4Using the above rules, the equivalent options are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
A similar question was answered here: https://brainly.com/question/15382096?referrer=searchResults
The first, second, fourth, and fifth options among all are equivalent to [tex]\frac{-11}{4}[/tex].
These all are forms of division.
The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.
The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.
Hence, the first, second, fourth, and fifth options are correct.
Learn more about division here:
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Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
Steve started with $250 and spent $25 per week. Which slope intercept form equation would match this situation ?
Answer: After 10 weeks he will run out of money. The ratio is 25:1
Step-by-step explanation:
Best answer gets brainliest!!!
Choose 3 plz!
I believe that the answer B,D,and E
Answer:
A, D, and E (I think)
Step-by-step explanation:
I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol
00:00
Select all the expressions that are equivalent to 312.79.
A. 33. 34.49
B. (33) • (736
C. 73. (3-4)-3.76
D. (33 + 39) • (76 + 73)
E. 320. (73)3 • (34)-2
Answer:
i think D
Step-by-step explanation:
(x+8)(x+2) = 10x+x^2
Answer:
.
Step-by-step explanation:
x^2 + 2x + 8x + 16 = 10x + x^2 (FOIL)
x^2 + 10x + 16 = 10x + x^2 (add like terms)
16 = 0 (10x and x^2 cancel out on both sides)
(x+8)(x+2) is NOT equal to 10x+x^2
Hunter earns $16 per hour tutoring students after school. If Hunter tutored for 12 hours this month, how much money did he earn this month?
Answer:
Step-by-step 4explanation:
whats -4 times (-9)
please help
Blake was listening to his favorite radio station. He noticed that 15 songs were played and 3 of them were by Justin Bieber in the hour he was listening.
13. What is the ratio of songs by Justin Bieber to the number of songs played?
14. Write this as a unit rate.
15. Suppose the station continues to play this ratio of songs. How many times will Blake hear songs by Justin Bieber in the next three hours?
Answer:
15 is 9 because the ratio is 3:15 in 1 hour, so you multiply by 3(hours) and you get 9
Step-by-step explanation:
I apologise but I'm too rusty at the other questions to be able to answer them anywhere close to accurate D:
9514 1404 393
Answer:
13. 3/15 = 1/5
14. 1/5 (or 3 Bieber songs per hour)
15. 9
Step-by-step explanation:
13. The requested ratio is ...
(3 Bieber songs)/(15 total songs) = 3/15 = 1/5
__
14. 1/5 is the "unit rate" for the ratio in problem 13. Its units are "Bieber songs per song played."
(IMO, this "unit rate" is pointless. For the purpose of problem 15, the applicable "unit rate" is Bieber songs per hour. That is 3 songs per hour.)
__
15. At a rate of 3 Bieber songs per hour, in 3 hours one might expect ...
(3 songs/hour)(3 hours) = 9 songs . . . . by Bieber
If system of linear equations has no solution,then
Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months ?
Answer:
d. y = 15x + 50
Step-by-step explanation:
Look for the keywords here :
A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months?
Start with $50, this is the entry free, along with the question being the "total cost of the gym membership." Therefore any equation that puts a negative in front of 50 is incorrect.
a) y = 15x - 50 is crossed out
Now look at $15 per month, this is the amount that is paid per time and can be increased through a variable. Therefore any equation that does not put 15x is incorrect.
c) y = 50x + 15 and b) y = 65mx is crossed out
Leaving us with d) y = 15x + 50
HURRY PLEASE DON'T HAVE MUCH TIME TO FINISH!
Another plan to secure the roller coaster involves using a cable and strut. Using the center of the half-circle as the origin, the concrete strut can be modeled by the equation and the mathematical model for the cable is . The cable and the strut will intersect.
6. Graph the cable and the strut on the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)
7. Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
Answer:
Hello there this is number 6 the graph and number 7. I am also doing this assignment and I was wondering if you had a graph for number 8? If so I have a question posted on my account and I would greatly appreciate you adding the graph, but if not have a nice day
Step-by-step explanation:
7.
root 2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4 ,x=14
x=14
Hope that this helps, Peace and love. And if you are feeling kind will you please mark me the brainliest?
PLEASE HELP I WILL GIVE 100 points
Using the drawing below to answer the questions that follow
Part A what is the scale factor used when going from the larger rectangle to smaller one?
Part B
What is the length of missing side?
PLEASE HELP
Answer: the scale factor is 1/2
And the missing side is 5.5
Step-by-step explanation:
The larger triangle is twice the smaller triangle
The scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
It is given that:
The two rectangles are shown in the picture:
Part A what is the scale factor used when going from the larger rectangle to the smaller one?
The scale factor = 8/16 = 1/2
The length of the missings side = 1/2(11) = 5.5
Thus, the scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
Learn more about the scale factor here:
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If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)
Answer:
Length = 0
Step-by-step explanation:
The bridge troll is tearing his toe nails up climbing the Empire State Building.
Simplify 3(12 - 8) + 5.
O A. 32
O B. 17
O C. 33
O D. 27
Answer:
b
Step-by-step explanation:
parentheses first 12-8=4
3x4=12
12+5=17
u do parentheses then exponents then division then multiplication then add then subtract
hope this helps!!!
The rain gauge at the airport showed 22 inches of rain in April. Which of these is the SAME as 22 inches?
Answer:
24
Step-by-step explanation:
First things first you multiply 22inches of rain times 22 and that is how you get 24
van someone help me with this
Answer:
107
Step-by-step explanation:
A runner runs 15 miles in 3 hours. Find the constant of proportionality (k), that relates the miles, y, to the time, x. Also, write the equation (y = kx) for this relationship.
Answer:
y=10x; y is the miles driven, x is the hours driven
Step-by-step explanation:
The independent variable is x, and the dependent variable is y.
I need help again please
(12,9) in slope intercept form
Answer:hahahaha
Step-by-step explanation:
Nasnhshshs
Gwenna uses 4 tomatoes to prepare soup for 2 guests. How many tomatoes will she require to make soup for 6 guests?
Answer:
12
Step-by-step explanation:
2 tomatoes per person so 2x6=12
Tickets at the basketball game are 2:50 each: complete table based on cost of basketball game tickets
Answer:
0)2.50 2)5.00 4)10.00 6)15.00
Step-by-step explanation:
A movie theater has 287 crates of popcorn. Each crate holds 6 pounds of popcorn. There are 15 people who work at the theater. How many pounds of popcorn are there altogether?
What is 7 x 7 x 7 written using an exponent?
Answer:
7x7x7=7^3
Step-by-step explanation:
3. A certain sum of money at simple interest amounts to $560 in 3 years and to
$600 in 5 years. Find the principal and the rate of interest. [Ans. $ 500; 4%]
Answer: principal value = $500 and rate of interest = 4%.
Step-by-step explanation:
Let P = Principal value, r= rate of interest, t= time.
Formula for simple interest:
Interest = P x r x t
Final amount = P+ interest
= P+Prt
= P(1+rt)
Simple interest amounts to $560 in 3 years.
⇒ 560= P(1+3r)
[tex]\Rightarrow\ P=\dfrac{560}{1+3r}[/tex] (i)
Simple interest amounts to $600 in 5 years.
⇒ 600= P(1+5r)
[tex]\Rightarrow\ P=\dfrac{600}{1+5r}[/tex] (ii)
From (i) and (ii) , we get
[tex]\dfrac{560}{1+3r}=\dfrac{600}{1+5r}\\\\\Rightarrow\ 560(1+5r)=600(1+3)\\\\\Rightarrow\ 560+2800r=600+1800r\\\\\Rightarrow\ 2800r-1800r=600-560\\\\\Rightarrow\ 1000r=40\\\\\Rightarrow\ r=\dfrac{40}{1000}\\\\\Rightarrow\ r= 0.04= 4\%[/tex]
Put r= 0.04 in (ii), we get
[tex]P=\dfrac{600}{1+5(0.04)}\\\\=\dfrac{600}{1+0.2}\\\\=\dfrac{600}{1.2}\\\\=500[/tex]
Hence, principal value = $500 and rate of interest = 4%.
