Answer:
14 minutes below or 6 minutes above
Step-by-step explanation:
Let's say Sophia's time was 10 minutes WORSE
4 minutes below average- 10 minutes= 14 minutes below average
Let's say Sophia's time was ten minutes BETTER
4 minutes below average + 10 minutes= 6 minutes above average.
Hope this helps!
14 minutes below the average
6 minutes above the average
=====================================================
Let A = average running time
Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.
Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.
We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.
-------------
Let's plug in J = A-4 and solve for S
|S-J| = 10
|S - ( J )| = 10
|S - (A-4)|
|S-A+4| = 10
S-A+4 = 10 or S-A+4 = -10
S-A = 10-4 or S-A = -10-4
S-A = 6 or S-A = -14
S = A+6 or S = A-14
The equation S = A+6 shows Sophia is 6 minutes above the average
The equation S = A-14 shows Sophia is 14 minutes below the average
-------------
Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.
If A = 20, then Jacob's time is J = A-4 = 20-4 = 16
If the average running time is 20 minutes, then Jacob ran for 16 minutes.
If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)
If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)
This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.
1. Alexis went shopping for school supplies with $80 in his bank account. He bought a bunch of binders for $23, pens and pencils for $16, and a new backpack for $37. Did Alexis have enough money to purchase all these supplies? -
Answer: So alexis had $80 And he bought a bunch of binders for $23 So If you do the math you will get: $57 But then he buys pens and pencils for $16 So:
$57 - $16 = $41 And then he buys a new backpack for $37. So : $41 - $37 = $4
So yes he had enough to buy all the stuff and still had a little bit leftover!
Hope this helps!
Step-by-step explanation:
hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5
Answer:
Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.
Step-by-step explanation:
Put the words in numbers and symbols first and separate the sentence
Answer:
A C D
Step-by-step explanation:
Trust me on this I got it correct.
Give one real world example of rate to f change
Answer:
1, A horse runs 27 miles per hour (distance traveled changes by 27 miles for each hour)
Step-by-step explanation:
hope it helps!
A line passes through the point (-6,6) and has a slope of 3/2.
Answer:
y=3/2x+15
Step-by-step explanation:
Answer:
y=3/2+15
Step-by-step explanation:
What two perfect squares does 11 sit in
between?
PLEASE HELP ME!!
Which estimation technique will yield a solution that is the farthest from the actual product of (-14.89)(1.35)
A) front-end estimation
B) rounding to the nearest tenth
C) rounding to the nearest whole number
D) compatible numbers
Answer:
C sorry if im wrong
Step-by-step explanation:
its what i think
Answer:
A. front-end estimation.
Step-by-step explanation:
I got it right on the test. It'd be appreciated if this was marked as brainliest.
What does it mean by "interpret its meaning"? I underlined it for you guys.
Answer:
1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.
Step-by-step explanation:
1: You have to find the amount of distance traveled per hour.
Answer: 300 miles per hour.
2. You have to find the amount of money earned per hour.
Answer: 5$ per hour.
3: You have to find the sales price per retail price.
Answer: 10$ of sales price per 20$ of retail price.
Please help I am so confused!
Answer:
D
Step-by-step explanation:
If you match what the numbers say you will see the answer is D
sum please help me ASAP on both of themmm
Answer:
7.d
8.c
Step-by-step explanation:
I looked it up to make sure! Hope this helped!
What number goes before 8 but is not 7?
Answer:
7.01
7.02
7.03
7.04
and on and on till
7.99
or 7 1/100 7 2/100 and on and on
Step-by-step explanation:
-4 = - 17 + x linear equations
add 17 to both sides
13 = x
hope this helps
See attachment for math work and answer.
You are preparing a case study on the dallas cowboys. You use many methods of data collection in creating the case study. Here is an excerpt: the dallas cowboys were formed in 1960 and have had seven head coaches since then. I surveyed 100 people and one of the questions was, who is your favorite coach of the dallas cowboys? Seventy people said tom landry, fifteen said jimmy johnson, five said bill parcells, and ten answered other. One of those who answered other was my brother. I asked him which coach was his favorite and he said, "barry switzer because he was the last one to win a championship." i knew he was kidding because he had a smirk on his face. The excerpt relays information gathered from questionnaires, interviews, observations, and historical data. Identify the information from the case study that was collected by each of the four methods.
Answer:
The information that was collected by each of the four methods is;
The participant's favorite coach of the Dallas Cowboys.
Step-by-step explanation:
For each of the four methods listed, the question that stood out was the favorite coach of the Dallas Cowboys among the participants in the study.
Questionnaire: one of the questions was, who is your favorite coach of the Dallas cowboys?
Interview: I asked him which coach was his favorite
Observation: I knew he was kidding because he had a smirk on his face. This observation showed that Barry Switzer was not really his favorite coach.
Historical data: I asked him which coach was his favorite and he said, "Barry Switzer because he was the last one to win a championship." This historical data shows that the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.
4. In one day, a movie theater collected $4600 from 800 people. The price of admission is $7 for an adult and $5 for a child. How many adults and how many children were admitted to the movie theater that day? I
Answer:
this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.
Step-by-step explanation:
X=adults
Y=children
I only know to make these two equations from experience doing these types of questions.
X+Y=800
7X +5Y=4600
there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract the 2nd from that whole equation.
7(X +Y=800)
7X +7Y = 5600
-(7X +5Y =4600)
0X +2Y = 1000
Y = 500 ( 500 children went to the movies )
by inspection you can probably see that 300 adults had to go too
500 kids
300 parents
also that's 4600 dollars to let those people in
7(300) + 5(500) = 4600
2100 + 2500 = 4600
Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)
Answer: − 10 x + 7.5
Step-by-step explanation:
Answer:
− 10 x + 7.5
Step-by-step explanation:
Hope this helped!
66°
OT 6
11
12/13
Find the measure of the angle
Evaluate x2 - 7xy for x = 7 and y = 3.
Answer:
-98
Step-by-step explanation:
I hope this help
Estimate the square root of 19 to the nearest tenths place
Oscar is raising monarch caterpillars for a summer science project. Every day, he feeds 4 fresh milkweed leaves to each caterpillar. Oscar wants to know how many caterpillars he can feed in a day with a total of 28 leaves. Which equation can Oscar use to find n, the number of caterpillars he can feed in a day?
Answer: n = 28/4
Step-by-step explanation:
Number of leaves uses to feed each caterpillar = 4.
If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:
n = 28/4
This implies that 7 caterpillars can be fed in a day.
Susan rides her bicycle 5 miles in 1/2 of an hour. At this rate, how many miles could she ride in 2 hours?
Answer:
20 miles
Step-by-step explanation:
to find how many miles she travels in one hour, multiply by 2 to get 10, and then multiply it by 2 again to find 2 hours
Answer:
20 miles
Step-by-step explanation:
To find out how many miles can be ridden in 2 hours, multiply 1/2 and 5 by 4 to get both answers like so:
1/2 (4) = 2 HOURS
5 (4) = 20 MILES
Therefore, Susan can ride her bike 20 miles in 2 hours.
Will give brainliest for the first and the correct answer.
Answer:
x=4
Step-by-step explanation:
Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.
Answer:
A.) x = 4
Step-by-step explanation:
If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:
[tex]\frac {(4+20)} {2} = 12[/tex] which is equal to 3(4).
What is the opposite of negative 21 or -21
Answer:
21
Step-by-step explanation:
thats the opposite of negative 21
Answer:
positive 21
Step-by-step explanation:
Plz I need your help I don’t understand
Answer:
1). 15.5 miles
2). 8.4 miles
3). 0.08 per ounce
Step-by-step explanation:
213 ÷ 6 = 15.5
25.2 ÷ 3 = 8.4
0.96 ÷ 12 = 0.08
Hope this helps!!
Rewrite 8 2/5
as an improper fraction.
Answer:
42/5
Step-by-step explanation:
If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P
1 gallon is equal to 4 quarts (conversion factor). How many gallons do you have if you have 18 quarts?
START END CONVERSION FACTOR(s) SOLUTION
Answer:
4.5 gallons
Step-by-step explanation:
18/4
After conversion 18 gallons will be equal to 4.5 quarts .
Given,
1 gallon is equal to 4 quarts
Convert 18 quarts to gallons
Few unit conversions :
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
Now 1 gallon is equal to 4 quarts ,
Here,
1 gallon = 4 quarts
Hence ,
18 quarts = 4.5 quarts .
Know more about unit conversion,
brainly.com/question/14614674
#SPJ6
The total number of students enrolled at Twin Rivers Middle School is 2,000 students. If the ratio of boys to girls is also 3 to 2 for the school, how many students are boys and how many students are girls at Twin Rivers Middle School? Prove your answer by showing your work.
Answer:
3:2
3 to 2
or
3/2
Step-by-step explanation:
Answer:
There are 800
Step-by-step explanation:
divide 2000 by 5
That gives you an even distribute of 400
so if you have 3 for boys that gives you 1200
What is left is two which is 800 so the answer is 800
2000(divide symbol)5=400
400+400+400=1200 (boys)
400+400=800(girls)
Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9
Answer:
Step-by-step explanation:
Given equation is,
[tex]\frac{1}{2}(8x-6)=x+9[/tex]
By distribution property,
4x - 3 = x + 9
By subtraction property of Equality,
4x - x - 3 = 9
3x - 3 = 9
By Addition property of equality,
3x = 3 + 9
3x = 12
By division property of equality,
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
x = 4
if y =32 when x =8 find y when x =30
Answer:
y = 120
Step-by-step explanation:
If y = 32 when x = 8, then y is 4 times the number of x. If x = 30, then (4)30 = 120.
find the value of:
Answer:
the value is 6
Step-by-step explanation:
substitue
Given the functions f(x) = 2x2 +5 and g(x) = 8+x find go f(-5)
A. 63
B.3.
C.2
D.23
Answer:
A. 63
Step-by-step explanation:
Given functions:
f(x) = 2x² + 5
g(x) = 8 + x
find:
g o f(-5)
Solution:
Start first by finding f(-5);
f(x) = 2x² + 5
= 2(-5)² + 5
= 50 + 5
= 55
Now
g o f(-5);
g(55) = 8 + 55 = 63
Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 bags.
(proportions with units)
Answer:
26 minutes and 40 seconds
Step-by-step explanation: