Answer:
19 sit-ups per minute ;
95 sit-ups
Step-by-step explanation:
Given that :
Number of sit-ups done in 3 minutes = 57
The unit rate of sit-ups done can be obtained thus :
Total Number of sit-ups done / total time taken
= 57 sit-ups /3 minutes
= 19 sit-ups per minute
. Number of sit-ups that can be done in 5 minutes :
Unit Rate of sit-ups * number of minutes
19 sit-ups / minute * 5 minutes
= 95 (sit-ups / minute * minute)
= 95 sit-ups
A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 feet wide. The total area of the pool and sidewalk is 160 square feet. Find the dimensions of the pool
Answer:
The dimensions of the pool are:
Width: 8.944 feet
Length: 17.888 feet
Step-by-step explanation:
From Geometry, the area of a rectangle ([tex]A[/tex]), measured in square feet, is determined by the following equations:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in feet.
[tex]l[/tex] - Length, measured in feet.
If we know that [tex]w = x[/tex], [tex]l = 2\cdot x[/tex] and [tex]A = 160\,ft^{2}[/tex], then we get the following second order polynomial:
[tex]2\cdot x^{2}-160 = 0[/tex] (1)
And we solve the expression for [tex]x[/tex]:
[tex]2\cdot x^{2} = 160[/tex]
[tex]x^{2} = 80[/tex]
[tex]x = \sqrt{80}\,ft[/tex]
[tex]x \approx 8.944\,ft[/tex]
Then, the dimensions of the pool are, respectively:
[tex]w \approx 8.944\,ft[/tex] and [tex]l \approx 17.888\,ft[/tex]
3m3 + 4f + 4 + 2f +262 + 1
Answer:
simplified, it is 3m^3+6f+267
Find the area of this semi-circle with radius,
r
= 61cm.
Give your answer rounded to 1 DP.
Answer:
692.7cm²
Step-by-step explanation:
A = πr²/2 = 220.5 * π [cm²] ≈ 692.72 [cm²]
Jayden and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4.25 and a drink for $6. How much would it cost if they bought 3 bags of popcorn and 8 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?
Answer: $12.75 for the popcorn and $48.00 for the drinks.
Step-by-step explanation:
Help me i swear ill give brainlist
Mischa and Ben's combined SAT score was 2290. Ben and Ashley's
combined score was 2530. Mischa and Ashley's combined score was
2660. Find each student's individual SAT score.
Answer:
Ashley=1450
Ben= 1080
Mischa= 1210
Step-by-step explanation:
M= Mischa
B= Ben
A= Ashley
M+B=2290
A+B=2530
M+A=2660
M-A= -240
so 2M = 2420, and M= 1210
Then
1210 + B = 2290
B= 1080
Then
1210 + A= 2660
A= 1450
Please help due in 10 minutes
Zachary has $718 in his bank account and automatically withdraws $14 every month to pay for his computer service. Christian has $212 in his bank account and deposits $32 each month from his newspaper delivery tips. When will Zachary and Christian have the have amount of money in their bank accounts?
A box of bananas was discounted in price from $15.00 to $13.50. What
percent was the bananas discounted?
Answer:
its 10%
Step-by-step explanation:
Answer:
10%
Step-by-step explanation:
Sandy has 31 books in her library. She bought several books at a yard sale over the weekend. She now has 59 books in her library. How many books did she buy at the yard sale
The sum of two numbers is 40 and the difference is 16. What are the numbers?
Answer:
28 and 12
Step-by-step explanation:
The sum of two numbers is 40 and the difference is 16. What are the number? x+y=40 Substitute for x from above. (y+16)+y=40 Subtract 16 from each side.
The two numbers whose sum is 40 and difference is 16 are 28 and 12.
Let's denote the two numbers as x and y. We are given the following information:
x + y = 40 (equation 1)
x - y = 16 (equation 2)
To solve for x and y, we can use a method called elimination or substitution. Let's use the elimination method here.
Adding equation 1 and equation 2, we eliminate the y term:
(x + y) + (x - y) = 40 + 16
2x = 56
x = 28
Now we can substitute the value of x back into equation 1 to solve for y:
28 + y = 40
y = 40 - 28
y = 12
Therefore, the two numbers are 28 and 12.
To know more about numbers click here:
https://brainly.com/question/24486958
#SPJ2
The virus that causes the flu has a width of 0.00000013 m. Write the width of the flu virus in scientific notation.
Jill weighs 15 lbs. Less than Ken. Pete weighs 50 lbs. More than Jill. Eddie weighs 18 lbs. Less than Pete. How much does each weight, if the sum of their weights is 597?
Answer:
Jill = 125lb
Pete = 175lb
Eddie = 157lb
Ken = 140lb
Step-by-step explanation:
Given
Represent Jill with J; Ken with K; Pete with P and Eddie with E
[tex]J = K - 15[/tex]
[tex]P = 50 +J[/tex]
[tex]E = P - 18[/tex]
[tex]J + K + P + E = 597[/tex]
Required
Determine the weight of each
Substitute 50 + J for P in [tex]E = P - 18[/tex]
[tex]E = 50 + J - 18[/tex]
[tex]E = J + 50 - 18[/tex]
[tex]E = J + 32[/tex]
Make K the subject in [tex]J = K - 15[/tex]
[tex]K = J + 15[/tex]
Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]
[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]
Collect Like Terms
[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]
[tex]4J = 500[/tex]
[tex]J = 500/4[/tex]
[tex]J = 125lb[/tex]
Substitute 125 for J in [tex]P = 50 +J[/tex]
[tex]P = 50 + 125[/tex]
[tex]P = 175lb[/tex]
Substitute 175 for P in [tex]E = P - 18[/tex]
[tex]E = 175 - 18[/tex]
[tex]E = 157[/tex]
Substitute 125 for J in [tex]K = J + 15[/tex]
[tex]K = 125 + 15[/tex]
[tex]K = 140[/tex]
Which function has a range of y20?
ty
Time
(hours)
1
Temp.
(°F)
-8
2
{(5,0).
(-3,4).
(0,7).
(11,-6)
2
3
-2
O
-4-2
2
-2
2
5
5
No
-2
7
10
Answer:
t218
Step-by-step explanation:
WHAT'S ALL THE TENSION ABOUT?
Answer:
where is the tension.......?
Step-by-step explanation:
A science teacher ordered $3980 worth of microscopes and dissection kits for the new science lab. A total of 38 microscopes and 47 dissection kits were ordered. A microscope costs four times as much as a dissection kit. Write a system of linear equations that represents this situation. What is the cost of each item?
Answer:
Cost of a kit is $20
cost of a microscope is $80
Step-by-step explanation:
Here, we want to write a set of equations and solve
Let the cost of a microscope be $m while the cost of a kit be $k
Total cost of 38 microscopes will be 38 * m = $38m
Total cost of 47 kits = 47 * k = $47k
The sum of these is $3980
That will be;
47k + 38m = 3980 ••••••(i)
A microscope cost 4 times a kit
Mathematically;
m = 4k •••••••••(ii)
Substitute ii into i
47k + 38(4k) = 3980
47k + 152k = 3980
199k = 3980
k = 3980/199
k = $20
Recall;
m = 4k
m = 4 * 20 = $80
Encuentra la medida del segmento AB conociendo que : DE//BC medida del ángulo EDA=90 grados ,AD=2cm,DE=3cm y BC=18cm
I will mark you brainliest if you answer this question
Answer:
1: Size
2: Congruent
3: Proportional
Step-by-step explanation:
Hope that helped
Answer:
poopoopeepee
Step-by-step explanation:
Please help will mark as brilliant
Answer:
7
Step-by-step explanation:
Rita used 3/4 cup of white sugar and 1/2
cup of brown sugar to make a cake. How
much sugar did she use in all?
We need to make the denominators equal for both fractions to figure out how much sugar was used in all.
3/4 + 1/2
We can multiply the numerator and the denominator by 1 for 3/4. We can multiply the numerator and the denominator by 2 for 1/2. Therefore, we will get 1.
3/4 + 1 = 1 3/4 OR 7/4
Answer is 7/4 or 1 3/4.
Also, please mark me as the brainliest and rate excellent.Once there was a girl with five lollipops. i took them because i did not eat breakfast. so how many are left. If you delete my question then i will ban you from life heh. Plz answe this is urgent.
Answer:
The girl has 0 left. You on the other hand has around 4.99 to 5.01 lollipops
Step-by-step explanation:
thankfully they were poisoned lollipops that the girl was secretly hired to have you take them for you to eat.
. 。 • ﾟ 。 . . . 。 。 . . 。 ඞ 。 . •The girl was an imposter. . . 。 . 。 ﾟ . . , . . .
im sorry i had to put that
Sam is 13 years old. His brother, Jonathan is 3 times as much as Sam is. His sister, Jayla is 2 times as much as Jonathan. How old is Jayla and Jonathan?
Ill give you brainliest if you answer the question correctly!
Answer:
Jonathan is 39
Jayla is 78
Step-by-step explanation:
13: Sam
? 1: Jonathan 3*sam
? 2: Jayla 2* Jonathan
13 * 3 = 39
Jonathan is 39
39 * 2 = 78
Jayla is 78
The ratio of the angles in a triangle is 8 : 12 : 16.
What is the measure of the largest angle?
Step-by-step explanation:
8x+12x+16x=180
36x=180
x=5
16x=5×16=90
Answer: 5 degrees
Step-by-step explanation: im just built different
Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
Answer:Daniel is faster
Step-by-step explanation:
Daniel : 5 kilometers is 5000 meters.
5000 / 40 is 125 meters per minutes
Andy: 4550 divided by 37 is 122.97 which is 2.3 meters per minute slower than Daniel
fill in the table using this function rule. y=2x+5. 1 ( ) 4( ) 5( ) 10( ) please help and dont make it complicated
Answer:
The complete table is as follows:
x y
1 7
4 13
5 15
10 25
Step-by-step explanation:
Given the function
[tex]y=2x+5[/tex]
Given the table
x y
1 blank
4 blank
5 blank
10 blank
Substitute x = 1 in the function
y = 2x+5
y = 2(1)+5 = 2+5 = 7
so, when x = 1, y = 7 i.e. (1, 7) is the point on the table
Substitute x = 4 in the function
y = 2x+5
y = 2(4)+5 = 8+5 = 13
so, when x = 4, y = 13 i.e. (4, 13) is the point on the table
Substitute x = 5 in the function
y = 2x+5
y = 2(5)+5 = 10+5 = 15
so, when x = 5, y = 15 i.e. (5, 15) is the point on the table
Substitute x = 10 in the function
y = 2x+5
y = 2(10)+5 = 20+5 = 25
so, when x = 10, y = 25 i.e. (10, 25) is the point on the table
Therefore, the complete table is as follows:
x y
1 7
4 13
5 15
10 25
Someone help please
Plastic cups come in packages of 24 and straws come in packages of 20, whats the smallest number of each that could be bought so that you had the same amount of cups and straws? 200 240 120 480
Answer:
120
Step-by-step explanation:
No. of plastic cups = 24
No. of straws =20
We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.
Prime factrisation of 24 = 2×3×2×2
Prime factorisation of 20 = 2×5×2
LCM = 120
Hence, the smallest number of each type will be 120.
Triangle DEF and triangle PQR are similar and have the same orientation. The hypotenuse of triangle PQR is on the same line as the hypotenuse of triangle DEF and is one-third the length of DF.What is the equation of the line that the hypotenuse of triangle PQR lies on? Y = x + On the hypotenuse of triangle PQR, if coordinate P is at point (2, -4), then coordinate R is at point ( , ).
Answer:
y= -2x and (3,-6)
Step-by-step explanation:
h
1. On the sixth grade field trip, there are 2 teachers for every
9 students. If there are 63 students on the trip, how many
3-11
Name
Remembering
teachers are there?
Answer:
Divide 63/9=7
7*2= (the number of teachers) 14
There are 14 teachers for 63 students.
Answer:
teachers 2:9 students
63/ 9 = 7
7 X 2 = 14
teachers 14:63 students
there are 14 teachers
I’m not entirely sure with this question! Giving brainliest answer. :)
3a+7
Step-by-step explanation:
