Answer:
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]
Step-by-step explanation:
24 ≤ 8 (7 − 4x)
Rewrite so x is on the left side of the inequality.
8 (7 − 4x) ≥ 24
Divide each term by 8 and simplify.
Divide each term in 8 (7 − 4x) ≥ 24 by 8.
8 (7 − 4x)/8 ≥ 24/8
Cancel the common factor of 8.
7 − 4x ≥ 24/ 8
Divide 24 by 8.
7 − 4x ≥ 3
Move all terms not containing x to the right side of the inequality.
−4x ≥ −4
Divide each term by −4 and simplify.
x ≤ 1
The result can be shown in multiple forms.
Inequality Form: x ≤ 1
Interval Notation: (−∞, 1]
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He used an incorrect time ratio converting hours to minutes. His units do not cancel. He used an incorrect distance ratio converting miles to feet. He incorrectly concluded that she is not running fast enough. He cannot determine her average rate in miles per hour after only 15 minutes.
Answer:
a. He used an incorrect time ratio converting hours to minutes.
d. He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Looking at the Coach's method of conversion when converting time, he assumed that an hour had 15 minutes instead of 60 minutes. He therefore did not use the correct time ratio to convert hours to minutes.
The coach's calculations yielded an answer of 34 ft/s. This is way faster than 8.8 ft/ s so his deduction that she was not running fast enough to beat her fastest time is incorrect because at that inhumane speed, she did.
Answer: A.)He used an incorrect time ratio converting hours to minutes.
D.)He incorrectly concluded that she is not running fast enough.
Step-by-step explanation: i hope this helps :)
Write a division number story with an answer of 3/5
Answer:
Tom had 5 friends with him at the beach.
John came by with out his shirt on, showing his muscles.
2 of Tom's friends left with John
What fraction of Tom's friends were left with Tom?
Step-by-step explanation:
Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Expression is 3/5.
To write a division number story with an answer of 3/5:
Jacob and his 4 friends went to pizza house.
That means, the total number of people = 5.
Jacob bought 3 pizzas and share with his friends.
So, each of them get 3/5 pizzas.
Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.
To learn more about the division;
brainly.com/question/13263114
#SPJ2
31. Two charged particles, each of 2 x 10-C, are brought from infinity to a
separation of 5 cm. Find the increase in electrical potential energy in the
process.
Answer:
P = 72 J
Step-by-step explanation:
Given that,
Charges, [tex]q_1=q_2=2\times 10^{-5}\ C[/tex]
These charges are brought from infinity to a separation of 5 cm.
We need to find the increase in the electrical potential energy in the process. The formula for the electric potential energy is given by :
[tex]P=k\dfrac{q_1q_2}{r}\\\\P=9\times 10^9\times \dfrac{(2\times 10^{-5})^2}{0.05}\\\\P=72\ J[/tex]
So, the required electric potential energy is 72 J.
Answer: bye
Step-by-step explanation:
for sending answers to people with stipud messages that’s why nobody replied to your questions cause your annoying it’s karma have a bad day with your pixelated profile picture
Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
Can somebody please help me with these pleaseeeee!
helppppppppppppp 20 points
Answer:
4 3/7
Step-by-step explanation:
Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7
The population of a town increases by 3.7% per year. If this year's population is 20,600, what will next year's population be, to the nearest individual?
Answer: 21,362 people
Step-by-step explanation:
The current population is 20,600 people and this population is to increase by 3.7% per year.
The population of the town in one year can be calculated by:
= Population * (1 + growth rate)^no. of years
= 20,600 * ( 1 + 3.7%)¹
= 21,362.2
= 21,362 people
The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?
g() = (5)***
g(x) = ()
g() = ()' +4
g(x) = (13) -4
Answer:
c
Step-by-step explanation:
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.
Answer:
every 2 years
Step-by-step explanation:
since it is t/2 for the exponent - thas the answer on khan
The rate of change in the population of the Siberian tigers loses 65% every two years.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:
[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]
Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
Help please due now!
Answer:
90
Step-by-step explanation:
x•y-z²
x=9,y=14,z=6
9 • 14 - 6²
126-36=90
Could someone good at geometry help me please. I will mark brainliest!! :)
There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.
Answer:
there are
16, 8, 12 and 4 different animals
Step-by-step explanation:
Step-by-step explanation:
Step one:
given data
Number of Animals = 40
The given ratio is = 4:2:3:1
The total ratio is = 4+2+3+1= 810
Step two;
Applying the part to all method
The first animal
4/10=x/40
cross multiply
10x= 40*4
divide both sides by 10
x= 160/10
x= 16
for second we have
2/10=x/40
cross multiply
10x= 40*2
divide both sides by 10
x= 80/10
x= 8
for the third we have
3/10=x/40
cross multiply
10x= 40*3
divide both sides by 10
x= 120/10
x= 12
for the fourth we have
1/10=x/40
cross multiply
10x= 40*1
divide both sides by 10
x= 40/10
x= 4
What is the first step in solving this problem:
-2 •(3+8+4)2
If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help
Answer:
64
Step-by-step explanation:
he's 64 inches tall
- multiply 12 by 5, which is 60
- then add four, 60 + 4 = 64
The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
Answer:
315
Step-by-step explanation:
So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.
Since you want to find the number of adults, just multiply.
7/18 x 810
You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying
7 x 45
=315
So, 315 is your answer
Answer: 315 Adults.
Step-by-step explanation:
Let the number of adults is x.
Then the number of kids is (810-x).
The ratio of kids to adults is
810 - x/x = 11/7
It is your basic equation, which you get from the condition.
To solve it, cross multiply; then simplify
7*(810-x) = 11x
7*810 - 7x = 11x
7*810 = 11x + 7x
7*810 = 18x
x = 7 x 810/18 = 315.
PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4
a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2
+ graph
C. x=3/2 y=1/2
Hope this helps!
please help im crying
Answer:
length=91
width=2
Step-by-step explanation:
182/2=91
91*2=182
y = –2x2 + 8x - 3
help :c
Answer:
8x-7
Step-by-step explanation:
-4+8x-3
8x-4-3
8x-7
For the equation 2x + 7 =30, x = 3
O True
O False
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
HELP PLz it is hard answer both of them
Answer:
6. 162
7. c
Step-by-step explanation:
Answer:
6. 162
7. C
Step-by-step explanation:
6. Replace the values of a and b into the expression:
8a + 6b = 8(12) + 6(11)
= 96 + 66
= 162
7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:
5(2f+4) = (5 × 2f) + (5 × 4)
= 10f + 20
Find the missing side length
98. Find the values of A and B which satisfy
the equations cos (2A + B) = 0.3 and
cos (2A - B) = 0.6 if 0° < 2A + B < 90° and
0° < 2A-B < 90°.
Answer: answer is a
Step-by-step explanation:
Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?
Answer:
27 because you have to multipli and then divide
Answer:
about 93 weeks
Step-by-step explanation:
divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks
How do I solve this using long division?
Answer:
x + 5
Explanation:
x^2 + 3x − 10 /x−2
= x^2 + 3x − 10 /x − 2
= (x−2)(x+5) /x−2
= x + 5
-9m - 4 = -7m + 6 solve for m
Answer:
m = -5
Step-by-step explanation:
Solve for X:
5x+3x=2(4x-5)-2
Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation
Step-by-step explanation:
I distributed 2(4x-5)
5x+3x=20x-10-2
Sub 3x for 20x
5x=17x-10-2
Sub -10-2
5x=17x-12
Sub 5x-17x
12x=-12
Divide
Equals -1
Sry it took me a bite
While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18%
tip on $50, what was the total cost of his meal?
Answer:
62
Step-by-step explanation:
Hello! I will give you fifteen points if you solve this correctly!
Answer:
mark each line about 1 in. apart
Plzzzzz give me Brainliest!!!!!
George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help you solve the problem. 25 × = n
Answer:300
Step-by-step explanation:
25 times 12
mary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the first hand sanitizer?
Answer:
30ml
Step-by-step explanation:
200ml * 15%
200ml * 0.15
= 30
There are 30 ml in the 1st hand sanitizer
Answer:
30 m l
Step-by-step explanation:
15%=0.15
200 divided by 0.15 is 30.
So therefore,
the answer is 30 ml.