Answer:
15 quarts
Step-by-step explanation:
Expand and simplify 3(2x + 1) +2(x + 4)
Answer:
8+11
Step-by-step explanation:
Answer:
3(2x + 1) +2(x + 4)
6x + 3 + 2x + 8
8x + 11
Step-by-step explanation:
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you? _____
Answer:
$1.85
Step-by-step explanation:
Simple Subtraction!
$3.50 - $1.65 = $1.85
$1.85
Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.
How many months will it take for her to reach her goal of $1,350?
18 months
16 months
12 months
14 months
Answer:
Her goal : 1350
What she has now: 174
she earns 84$ a month
answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
Step-by-step explanation:
Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution and the amount of 7% solution she should mix to get this solution
Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
2/3 of a number is 20 less than the original number. Find the original number
Answer:
60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
Answer:
60
Step-by-step explanation:
Let the number be x
2/3 x = x -20
20 =x -2/3x
1/3 x =20
60 = x.
The total U.S. apple production increased during the 1973-1988 period from 6.2 to 9.l billion pounds. To the nearest tenth of a percent, what was the percent of increase in apple production in the United States from 1973-1988? plzzzzz help
Subtract to find the difference in the amounts:
9.1 - 6.2 = 2.9
Divide the change by the starting amount:
2.9/6.2 = 0.46774
Multiply by 100 to get the percentage and round to the nearest tenth:
0.46774 x 100 = 46.8 %
Answer: 46.8%
In the diagram, ABC is a triangle in which AB = 4 cm, BC = 6 cm and angle ABC = 150°. The line CX is perpendicular to the line ABX.
(i) Find the exact length of BX and show that angle CAB = tan^-1 (3/4+3√3)
(ii)
Show that the exact length of AC is √52 + 24√3 cm.
Part (i)
Angle ABC is 150 degrees. The angle CBX is supplementary to this, so,
(angleABC)+(angleCBX) = 180
angle CBX = 180-(angleABC)
angle CBX = 180-150
angle CBX = 30 degrees
Because of the right angle marker at point X, we can find that triangle CBX is a 30-60-90 triangle. This special type of right triangle has its hypotenuse twice as long as the short leg, which we'll call y. The long leg is equal to y*sqrt(3) units.
The diagram shows BC = 6 is the hypotenuse, so the short leg is y = 6/2 = 3. The longer leg is y*sqrt(3) = 3*sqrt(3) which is the distance from B to X.
In summary so far,
CX = 3
BX = 3*sqrt(3)
We have enough information to find the tangent of angle CAB, and then find the actual angle itself.
tan(angle CAB) = opposite/adjacent
tan(angle CAB) = (CX)/(AX)
tan(angle CAB) = 3/(4+3*sqrt(3))
angle CAB = arctan( 3/(4+3*sqrt(3)) )
I'm using arctan in place of tan^(-1) which is the same basic function, just different notation.
========================================================
Part (ii)
Focus on triangle AXC. The legs we found were
AX = 4+3*sqrt(3)
CX = 3
Use the Pythagorean theorem to find the hypotenuse AC
a^2 + b^2 = c^2
(AX)^2 + (CX)^2 = (AC)^2
(AC)^2 = (AX)^2 + (CX)^2
(AC)^2 = (4+3*sqrt(3))^2 + (3)^2
(AC)^2 = (4+3*sqrt(3))(4+3*sqrt(3)) + 9
(AC)^2 = 4(4+3*sqrt(3))+3*sqrt(3)(4+3*sqrt(3)) + 9
(AC)^2 = 16+12*sqrt(3)+12*sqrt(3)+27 + 9
(AC)^2 = 52+24*sqrt(3)
AC = sqrt( 52+24*sqrt(3) )
Note that AC is a length so AC is positive. We don't have to worry about the plus minus.
This is known as a nested radical since one square root is buried in another.
We can write that as [tex]AC = \sqrt{52 + 24\sqrt{3}}[/tex] if you're curious as to how that looks on paper.
Using your calculator, you should find that,
[tex]\sqrt{52+24\sqrt{3}} \approx 9.673118[/tex]
Use substitution to solve the following system of equations. What is the value of y?
6x + 2y = 4
3x - 5y = 44
A. y = 7
B. y = -7
C. y = -4.5
D. y = 4.5
Answer:
B
Step-by-step explanation:
Classify the following triangle based on its shape.
Answer: a right triangle
Step-by-step explanation:
plzzzzzz helpppppp plzzz
Answer:
D. 6
Step-by-step explanation:
Answer:
B, 6
I think! hope it helped
How many minutes of calling time do the plans cost the same amount ?
PLS HELP I WILL GIVE BRAINLIEST
Answer:
6x-2
Step-by-step explanation:
the side lengths are x+2, x+2, 2x-3 and 2x-3
(the other two are the same as the ones shown because it's a rectangle)
when you combine like terms you get 2x+4 and 4x-6
combine like terms again and you get 6x-2
hope this helps :)
2x+2y=38
Y=x+3
Substitute to solve
Correct answer gets Brainliest
Answer:
x=8
y=11
Step-by-step explanation:
2(8) + 2(11) = 38
8 + 3 = 11
help please #16 already found x can’t figure out y
Answer:
x=26 y=137
Step-by-step explanation:
5x-17+3x-11=180
8x=208
x=26
2y+5+3x-11=180
2y+5+(3*26)-11=180
2y=274
y=137
what is 2350 million in standard from
Answer:
2350000000
Step-by-step explanation:
PLEASE HELP!! I’LL GIVE BRAINLIEST AND 10 POINTS !! FOR THE CORRECT ANSWER
Answer: -9
Step-by-step explanation:
You count down the distance from T to K
Answer:
-9
Step-by-step explanation:
you are counting from t to k but its going to the left of the number line to its negative.
Read the problem. Tamir baked cookies for his mother's birthday. He mixed the cookie batter, scooped it into mounds on a cookie sheet, and then put the cookie sheet in the oven. After 20 minutes in the oven, 15 of the 20 cookies were fully baked. Shade the grid to show the fraction of the cookies that were fully baked after 20 minutes in the oven. What percent of the cookies were fully baked? You can use your model to help.
Answer:
Percentage baked= 75%
Step-by-step explanation:
Giving the following information:
After 20 minutes in the oven, 15 of the 20 cookies were fully baked.
First, the fraction of cookies baked:
Fraction of cookies= 15/20= 3/4
Now, to calculate the percentage, we need to use the following formula:
Percentage baked= (15/20)*100
Percentage baked= 75%
50% of 320 is equal to 80% of what number?
Answer:
128
Step-by-step explanation:
The chart shows number of minutes students spent studying for a test and their grade on the test. Draw a scatter plot of the data.
Which equation is closest to the line of best fit?
A) y=-1/3x-52
B) y= 1/3x + 52
C) y=-52x + 1/3
D) y=52x-1/3
Answer:
the answer is A). y=1/3×-52
Translate the number equation into a written equation: 2p + 4 = 20
Answer:
p is 8
Step-by-step explanation:
4 - 20
then 2 divided by 16
then you get 8
Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.
Step-by-step explanation:
i think thats the answer
Given AXYZ = ARST.mZR=(6n+1). m _Y=108°, and m _Z=(91-4)', what is the value of n?
Answer:
A
Step-by-step explanation:
Given that the triangles are congruent then corresponding angles are congruent, thus
∠ S = ∠ Y = 108°
∠ T = ∠ Z = 9n - 4
Given ∠ R = 6n + 1
The sum of the 3 angles in Δ RST = 180°
Sum the 3 angles and equate to 180, that is
6n + 1 + 108 + 9n - 4 = 180 , simplify
15n + 105 = 180 ( subtract 105 from both sides )
15n = 75 ( divide both sides by 15 )
n = 5 → A
Correct 25.0457 to 2 significant figure
9514 1404 393
Answer:
25.
Step-by-step explanation:
The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.
Last one , will mark brainliest !!!!
Answer:
Step-by-step explanation:
Part 1:y=426x+4298
y=223x+6129
Part 2: x=9.020 (x is the number of months and y is the miles)
Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile
Answer:
See answers in explanation below
Step-by-step explanation:
1. 4298 + 426t = 6129 + 223t
2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129
and find the answer at where these two lines intersect with each other, x=9.0197 (months)
3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)
what's the answer? 4/5×1/3?
Answer:
4/15
Step-by-step explanation:
what's the answer? 4/5×1/3?
what is the volume of a A prism with a base area of 34 m2 and a height of 6 m.
Answer:
34 * 6 = 204
Thank you and please rate me as brainliest as it will help me to level up
Logan weighed two buckets of sand for a geology project. The first bucket weighed 5.19 pounds. The other bucket weighed 9.01 pounds. How much do the two buckets of sand weigh all together?
Answer:
14.2
Step-by-step explanation:
you just have to add both of the numbers shown in the question
CORRECT ANSWER= BRAINLIEST
A right triangle has legs that measure 7 meters and 16 meters. What is the length of its hypotenuse to the nearest whole
number?
14 meters
16 meters
17 meters
18 meters
Answer:
17 meters
Step-by-step explanation:
I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.
Hope this helps :)
Answer:
The answer is 17 meter
Step-by-step explanation:
So the formula for this is a^2 + b^2 = c^
The two legs are a and b
So plug those into the equation
It should look something like this 7^2 + 16^2 = c^2
Then solve the exponents and you get 49 + 256 = c^2
After that just add the two integers and you have 305
Finally take the square root of 305 and you get 17
pls mark brainliest because i didnt waste your time Lol
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20% by what percentage has his garden changed with these changes?
Given :
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.
To Find :
By what percentage has his garden changed with these changes.
Solution :
Let, initial length and breadth is x and y.
So, initial area = xy .
Size after increasing them :
y' = y + 0.50y
y' = 1.5y
x' = x + 0.2x
x' = 1.2x
Final area = (1.5y)(1.2x) = 1.8xy
So, percentage increase is :
[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]
Therefore, percentage increase in are is 80%.
Hence, this is the required solution.
David's bowling score is 6 less than 3 times Aaron's score. The sum of their scores is 214. Find the score of each student. Use the variable a for Aaron's score.
plz help
Step-by-step explanation:
Let aron's variable be = a
Let davids variable be( 6 less tan 3 times aron) = 3×a-6
Thier sum is =214
So,
3×a-6 + a = 214
3a -6 +a = 214
(transpose)
3a + a = 214 + 6
4a = 220
a = 220/4
a= 55
Thus,aron's score is = 55
And davids score is (3×a-6) = 3×55-6 = 159
Checking,
Aron score + david score = 214
55 + 159 = 214
SO, ITS CORRECT
HOPE IT HELPS :)
Sonia and Layla are both running for class president. The senior class has 220 students. After 60% of
the students have voted, Sonia has received 25% of the casted votes, and Layla has received 75%. How
many more votes does Sonia need to receive 50% of the total votes?
Answer: 33 votes
Step-by-step explanation:
First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:
= 60% × 220
= 0.6 × 220
= 132 students
Sonia has received 25% of the casted votes. The number of votes Sonia got will be:
= 25% × 132
= 0.25 × 132
= 33 votes
Layla has received 75%. Her votes will be:
= 75% × 132
= 0.75 × 132
= 99 votes.
50% of the total votes will be:
= 50% × 132
= 0.5 × 132
= 66 votes
The number of votes needed by Sonia to receive 50% of the total votes will be:
= 66 - 33
= 33 votes