Answer:
66
Step-by-step explanation:
it is the total people surveyed
The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle and solve in order to determine the value of x.
Answer: x = 5
Step-by-step explanation:
The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.
l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72
Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.
x^2 + 7x - 60 = 0
Apply the quadratic formula
[tex]\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}[/tex]
We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.
x = 5 and x = -12
An alternate way is just factoring the trinomial to:
(x+12)(x-5) = 0
The time,
T
(seconds), it takes for a pot of water to boil is proportional to the amount,
A
(litres), of water.
It takes 180 seconds to boil 2.8 litres of water.
Work out how long it takes (to the nearest second) to boil 2.2 litres.
Answer:
The time it takes to boil 2.2 litres of water is approximately 141 seconds
Step-by-step explanation:
The given parameters are;
The relationship of the variables, T and A is a proportional, therefore, we have;
T ∝ A, or T/A = k = Constant of proportionality
The time it takes to boil 2.8 liters of water = 180 seconds
∴ When A = 2.8 litres, T = 180 seconds, from which we have;
k = T/A = 180 s/(2.8 L) = 450/7 s/L
k = 450/7 s/L
When A = 2.2 litres, we have;
T/A = k
∴ T = k × A
Plugging in the value for both 'k', and 'A' when A = 2.2 litres, gives;
T = k × A = 450/7 s/L × 2.2 L = 990/7 s = 141.[tex]\overline{428571}[/tex] s
The time it takes to boil 2.2 litres of water, given a direct proportionality relation is, T = 141.[tex]\overline{428571}[/tex] seconds ≈ 141 seconds given to the nearest second.
hey can someone please confirm my answer? i got D but it was a guess because i’m not confident in my graphing skills yet
Answer:
the answer is d
Step-by-step explanation:
what is 5 3/4 subtracted by 5/8
Answer:
[tex]5\frac{1}{8}[/tex]
Step-by-step explanation:
5 3/4 = 23/4
(23/4)2 = 46/8
46/8 - 5/8 = 41/8 = 5 1/8
Because Edgar was sedulous, he turned into a boy genius and scored 2.53 times better
than he did on his last calculus test. His last test score was 38 percent. What did he score
on his latest test?
Answer:
96.14
Step-by-step explanation:
2.53*38=96.14
A student scores the following marks in 10 tests
3,7,x,7,12,9,10,4,2,5
If the mean mark is 6, calculate the value of x.
Lara eats a bowl of granola for breakfast every morning. She wonders how much granola she eats in a year. If Lara eats about one 48-ounce bag of granola every month, how many pounds of granola does she eat each year?
Answer:
36 pounds granola in a year
Step-by-step explanation:
Well there are 12 months a year.
She eats 48 ounce every month.
48 ounce = 3 pounds
3 pounds * 12 months = 36 pounds a year
//she sure does like granola o.o
Define Parameters. Help !!
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
13 1/3 pounds
Step-by-step explanation:
Hi! Each bad weighs 2 2/3 pounds. There were 5 bags bought so we multiply. Here is the expression:
2 2/3 x 5 = x
Now we need to convert 2 2/3 into an improper fraction, which is 8/3.
Easy! Now
8 5 40
- x - = -
3 1 3
*I tried to set it up like fractions.*
Simplify 40/3 and you get 13 1/3
A family is going on a trip for 3 days. The total cost for the hotel is $369. One hundred dollars a day was budgeted for entertainment. How much will each day of the trip cost?
Answer:
223
Step-by-step explanation:
368 divided by 3= 123
123+100= 223
THE QUESTION IS ABOVE
Answer:
The box would be 14
Step-by-step explanation:
It would be 14 because 7/14 is equal to 1/2. And 2/4 is also equal to 1/2.
Answer:
7/14
Step-by-step explanation:
Have a nice day.....
R4 = 74 what does R equal??????????????\
Answer:
R = 18.5
Step-by-step explanation:
Answer: 18.5
Step-by-step explanation: Divide 74 by 4
John needs to wrap the edge of his rectangular desk with duct tape. He knows the width is 10/8 of a meter and the length is 3/8 of a meter. How much duct tape does he need to wrap the desk’s perimeter?
Answer: 1 and 5/8
Step-by-step explanation:
Will the product be more or less than 2 7/8 ?
Answer:
Im pretty sure the the product will be less than 2 7/8.
I think the answer will be 23/72
PLEASE HELP QUICKLY!!!
x^2 + (x+9)^2 = 45^2
Step-by-step explanation:
x^2+(x+9)^2=90
x^2+(x+9)^2-90=0
x^2+x^2+9^2+2*x*9-90=0
x^2+x^2+81+18x-90=0
2x^2+18x-9=0
A grocery store is offering a sale on bread and soup. Kacey buys four cans of soup and three loaves of bread for $12.35. Fernando buys eight cans of soup and one loaf of bread for $13.05. a. Write equations for both Kacey's and Fernando's purchases.
Answer:
[tex]4x+3y=12.35-------------1\\\\x+8y= 13..05-------------2[/tex]
Step-by-step explanation:
Given data
let bread be x
and soup be y
Kacey buys four cans of soup and three loaves of bread for $12.35
4x+3y=12.35-------------1
Fernando buys eight cans of soup and one loaf of bread for $13.05
x+8y= 13..05-------------2
Hence the equation for both of their purchase is [tex]4x+3y=12.35-------------1\\\\x+8y= 13..05-------------2[/tex]
a b c or d for what is the square root of 36
Answer:
6
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAIN AND 5 STARS
Answer:
angle B is congruent to angle H
Step-by-step explanation:
This is the formation needed to prove angle angle side.
HELP
ILL GIVE THE BEST ANSER 100 POINTS!!!!
awnser im believe it is 24 i think
Answer:
20 units square
Step-by-step explanation:
do the Pythagoras theorem
a²=b²+c² ⇒ a=√b²+c²
if b is 4 and c is 2 an a is the unknown
so a=√(4)²+(2)²
a=√20
then get the rule of the area of the square
Area of the square= s²
s=a=√20 (a is the hypotenuse of the triangle and also a side in the square)
so s²=20
Area of the square=20 units square
If x=5,then 3x+4x-15
Answer:
20
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3*5) 15+(4*5) 20
20+15= 35-15= 20
Your answer is 20 I believe.
please help!
Megan has a bag with 8 red cubes, 3 yellow cubes, and 5 green cubes. What is the probability she will pick a red cube, keep it, and then pick another red cube?
Answer:
1st time: 50% chance or 8/16 chance
2nd time: 46% chance or 7/15
I can try again if its wrong
Answer:
7/30
Step-by-step explanation:
8/16 that she picks a red cube.
7/15 that she picks another red cube after keeping the first red cube.
multiply 8/16 (1/2) times 7/15 to get 7/30 as your final answer
"Sophia and Rebecca's conversations only."
Answer:
Step-by-step explanation:
Yes
Find the shaded area
Answer:
area of big rectangle=l×b=12×18=216cm²
area of smaller square=l²=8²=64cm²
area of shaded area =area of (bigger rectangle-smaller square)=216-64=152cm²
A therm is a unit of heat. The hogans paid $.38 per therm of natural gas. In September they paid $19.57 for natural gas. How many therms did they use
Answer:
51.5 thermes of gas were used
PLEASE HELP ME FILE IS ATTACHED
Answer:
Its below in the explanation
Step-by-step explanation:
2^2 = 4 so y=4 and x,y = 2,4
3^2 = 9 and x,y = 3,9
4^2=16 and x,y=4,16
Please give me brainliest
Answer:
2^2 = 4 so y=4 and x,y = 2,4
3^2 = 9 and x,y = 3,9
4^2=16 and x,y=4,16
Step-by-step explanation:
Jonah had 3/4 cup of water in his cup. He drank 1/2 cup of water. How
much water did he have left?
Answer:
1/4th Cup left
Step-by-step explanation:
1/2 cup is equal to 2/4 cup, so subtract that from 3/4th and you end with 1/4th
I NEED HELP WILL GIVE BRAINLIEST
8. M&M's cost $10.00 for 3/4 of a pound. Snickers cost $9.50 for 1 pound.
Milky Way's cost $2.00 for 1/4 of a pound. Which is the true statement?
M&Ms are the best buy
Snickers are the best buy
Milky Ways are the best buy
They are all the same price
Answer:
MILKY WAYS
Step-by-step explanation:
Answer:
Milky Way's are the best buy.
Step-by-step explanation:
Milky Way's Cost $8 a pound.
Snickers cost $9.50 a pound.
M&M's cost over $10 a pound.
If the triangle are similar, write a similarity
I’ll give you a virtual hug if you answer this right
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation
Explanation:
We would use AA similarity criterion here because we can see two of the angles in each triangle are equal.
Shannon’s bicycle travels 40 feet for every 3 pedal turns. How many pedal turns are needed to travel one mile (1 mile = 5,280 feet)?
Answer:
396
Step-by-step explanation:
5280/40 =132
132x3 =396
