She can buy 16 pens and 16 pencils.
A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
To learn more about the rate of change here,
brainly.com/question/12786410
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plz help!I hope you have a wonderful day!!
Geometry Homework, Please help with both questions
Similar figures are two or more given figures that have some common properties. The answers to the questions are;
14. m<WYZ = [tex]157^{o}[/tex]
15. m<ACB = [tex]87^{o}[/tex]
Two or more figures are said to be similar if they have some common properties. Note that similar figures may not be congruent.
Thus, the solutions to the questions can be determined as follows:
14. Comparing WYZ and VXYZ, we can deduce that:
<WYZ + <YVX = [tex]180^{o}[/tex] (sum of angles on a straight line))
So that;
(16x - 3) + (3x - 7) = [tex]180^{o}[/tex]
19x - 10 = [tex]180^{o}[/tex]
19x = [tex]190^{o}[/tex]
x = [tex]\frac{190}{19}[/tex]
= [tex]10^{o}[/tex]
Then,
m<WYZ = (16x - 3) = (16(10) -3)
= [tex]157^{o}[/tex]
The measure of angle WYZ is [tex]157^{o}[/tex].
15. (11x - 2) = (6x + 13) (similarity property)
11x - 6x = 13 + 2
5x = 15
x = 3
So that;
m<ABC = (6x + 13) = (6(3) + 13)
= [tex]31^{o}[/tex]
m<ABC = [tex]31^{o}[/tex]
But,
m<BAC + m<ABC + m<ACB = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]62^{o}[/tex] + [tex]31^{o}[/tex] + m<ACB = [tex]180^{o}[/tex]
m<ACB = [tex]180^{o}[/tex] - 93
= [tex]87^{o}[/tex]
m<ACB = [tex]87^{o}[/tex]
The measure of angle ACB is [tex]87^{o}[/tex].
Visit: https://brainly.com/question/18558845
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
Answer:
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
The ratio of the number of girls to the number of boys is 3:5 . if the number of boys os 12 more than the number of girls ,calculate the total number of students in the class.
Answer:
48 students in the class
Step-by-step explanation:
The ratio of girls to boys is 3 : 5 = 3x : 5x ( x is a multiplier ) , then
5x = 3x + 12 ( 12 more boys than girls )
Subtract 3x from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
number of girls = 3x = 3 × 6 = 18
number of boys = 5x = 5 × 6 = 30
total students in class = 18 + 30 = 48
The equations of three lines are given below. PLEASE HELP ME THIS IS DUE TODAY
NO LINKS OR I WILL REPORT YOU
Answer:
Line 1 & 2 is Perpendicular
Line 1 & 3 is Neither
and Line 2 & 3 is Neither
Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle
Answer:The juice left in bottle is 0.5 litre
Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.
Does anyone one have the vocabulary words and definitions for this iready lesson? (Pls help this is graded)
Answer:
absolute value
coefficient
constant
counterexample
equation
expression
evaluate
inequality
I hope that helps maybe give brainliest if it does!
Love,
-Banana
HELPPPPPPP plssssssss
Answer:
The length of FB IS D) 7 units
On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?
A.Mary used her bike to ride the first mile.
B.Mary stopped and waited for the traffic light to turn green.
C.ary walked her bike across the avenue and up a short hill.
D.Mary rode her bike at a constant speed for one mile.
Answer:mile.
B.Mary stopped and waited for the traffic light to turn green.
Step-by-step explanation:
edge 2020 its simp3l
he 134 sixth grade students sit together in the auditorium. Each row has 12 seats. How many rows do the sixth graders need
Answer:
Approximately 11.1666666667 rows
Step-by-step explanation:
134/12= 11.1666666667
Answer:
12 rows
Step-by-step explanation:
(134 students) / (12 students/row) = 11 2/12 rows
The 6th-graders will need 12 rows of seats. The last row will not be filled.
A Bus left Westwick at 0936 and arrived at Plimpton at 2105. How long did the journey take?
Answer: 11 hours and 29 min
Step-by-step explanation:
Find the area of a circle with a radius of 6 feet. Use 3.14 for pi
Answer:
Replace the value of r in the formula :
A = π • r²
A = π • 6²
A = 113,097
Since you need to round off your answer to one decimal, your final answer is :
A = 113.1 square ft
Step-by-step explanation:
find the sum
(2x+6)+(4x-12)
HELp
Answer:
6x-6
Step-by-step explanation:
(2x+6)+(4x-12)=2x+6+4x-12
=6x-6
Dana ate her trail mix. she found that 28% of the trail mix is raisins. What is 28% of 7 ounces
Answer:
the answer is 2.28 ounces
Which equation represent this statement?
5 less than twice a number is 3
2n - 5 = 3
2n - 3 = 5
5 - 2n = 3
3 - 2n = 5
Answer: It was 2n-5=3 The other guy was right
Step-by-step explanation: I took the K12 test.
Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
make y the subject of each of y-p=m
Answer:
y=m+p
Step-by-step explanation:
take the p to the other side.
p crosses = sighn and becomes +
hence ans = y=m+ p
if x = 5 find the value of a) x² b) (x + 3)²
Answer:
x=5a)x²
5²=25
b] (x+3)²
(5+3)²
(8)²=64
Complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
DEF
Step-by-step explanation:
If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.
Please can someone help with rearranging formulae? Will mark brainliest!
Answer:
look at the picture ..........
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she
has to buy 3 pounds of onions?
Answer:
Lacey could afford 4.25lb of cherries
Step-by-step explanation:
Cost of onions= 3 lb x 0.98/1=2.94
21.45-2.94=18.48$
1 lb=4.35
18.48 x 1lb of cherries/4.35=4.25lb of cherries.
Hope I helped please mark brainliest it means a lot to my progression and thanks! <3
Halppppppppppppp..............
Answer:
1 2/3, and -1 2/3
Step-by-step explanation:
Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.
What is free energy.
Answer:
free energy, in thermodynamics, energy-like property or state function of a system in thermodynamic equilibrium. Free energy has the dimensions of energy, and its value is determined by the state of the system and not by its history.
I need help plz help me I am not good at math HELP
Answer:
600 boys
800 girls
Step-by-step explanation:
Ratio is 3:4
let total number of boys be x
3/4=x/1400-x
4x=3(1400-x)
4x=4200-3x
7x=4200
x=600
600 boys
1400-600 = 800 girls
Fred buys flags from a manufacturer
for $12.50 dollars and then sells
them in his store for a 26% markup.
What price do his customers pay for
a flag?
Answer:
15.75
Step-by-step explanation:
26%of12.5
=12.5*26/100
=3.25
customers pay for a flag is 3.25+12.5=15.75
13- pls help with this pre-algebra problem is urgent
Answer:
What else is in the equation?
Step-by-step explanation:
Also, i think the - should be right here>-13 instead of it being here 13-<
Question is on picture attached
Answer:
Both triangles are congruent.
so 30/36 = 5/6 = 0.83333333333...
35/x should also be 0.83333333333.. so 35/0.83333333333.. is x
x = 42
Does anyone have the pages 8,9,10,12 in the Dimensions Math 7A Workbook?
PLEASEE!!!! I forgot my book at school and is due in an hour
Answer:
there
Step-by-step explanation:
1
