Answer:
18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
Step-by-step explanation:
Given that the container [tex]a[/tex] has 20% concentrated cleaner
and container [tex]b[/tex] has pure water which has 0% cleaner.
Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.
So,
[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]
As the total amount of the final solution= 40 gallons
So, [tex]x+y=40\cdots(ii)[/tex]
Using the value of equation (ii) in equation (i), we have
9% of 40 = 20% of x
[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]
[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]
[tex]\Rightarrow x=18[/tex] gallons.
From equation (ii),
18+y=40
[tex]\Rightarrow y=40-18=22[/tex] gallons.
Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.
Jessica wants to go on a school trip next month. The trip will cost $100 and she already has $10 and plans to babysit for $5 an hour to earn the rest of the money.
A. Write an equation that could be used to determine h, the number of hours Jessica needs to babysit to earn $100.
B. From your equation, determine the number of hours she needs to babysit.
Answer:
Step-by-step explanation:
100=10+5x x is the hours she needs to babysit
90=5x
x=18
She needs to babysit for 18 hours at $5 an hour if she already has $10
Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?
Answer:
34,567-22,999=11,568
Write the number for one million six hundred thousand .
Answer:
1,600,000
Step-by-step explanation:
Answer:
1001600
Step-by-step explanation:
A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?
Bakugou here:
Answer:
The tide raises both the water and the boat so the water will never reach the fifth rung.
Step-by-step explanation:
Brainlyest??!!
What is an
equation of the line that passes through the points (-6,5) and (6, 7)?
Answer:
[tex]y = \frac{1}{6} x + 6[/tex]
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.
Use the gradient formula below to find the value of m:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.
[tex]m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6} [/tex]
Substitute the value of m into the equation:
y= ⅙x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= 7,
[tex]7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6[/tex]
Thus, the equation of the line is y= ⅙x +6.
-4 2/3 times (-1 1/2)
SHOW YOUR WORK TO GET BRAINLIEST~~~~!!~
Answer:
-4 2/3 times (-1 1/2)
Step-by-step explanation:
14.6 repeating6 1/7 as an improper fraction
If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The fraction is the division of the two numbers but the division is not wholly complete.
A fraction x/y has two terms x is called a numerator and y is the denominator.
An improper fraction is a fraction when x ≥ y.
Therefore, 6 1/7 = 6 + 1/7
⇒ (42 + 1)/7 = 43/7
Since 43 > 7 so it will be an improper fraction.
Hence "If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper".
For more about fractions,
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this is science but pls help
The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack that weighs 6 pounds? 2.724 B. How many pounds is a cat that weighs 11 kilograms?
Answer:
[tex]6\ lb = 2.724\ kg[/tex]
[tex]11\ kg = 24.2\ lb[/tex]
Step-by-step explanation:
Given
[tex]1\ kg = 2.2\ lb[/tex]
[tex]1\ lb = 0.454\ kg[/tex]
Required
- Convert 6 lb to kg
- Convert 11kg to lb
To solve for (a), we make use of the second conversion unit:
[tex]1\ lb = 0.454\ kg[/tex]
Multiply both sides by 6
[tex]6 * 1\ lb = 0.454\ kg * 6[/tex]
[tex]6\ lb = 2.724\ kg[/tex]
Hence, a 6lb backpack weighs 2.724kg
Solving (b): 11 kg to lb
Here, we make use of the first conversion unit
[tex]1\ kg = 2.2\ lb[/tex]
Multiply both sides by 11
[tex]11 * 1\ kg = 2.2\ lb * 11[/tex]
[tex]11\ kg = 24.2\ lb[/tex]
Hence, the cat weighs 24.2lb
Can anyone give me the answer?
Answer:
The 2nd one/Green
Step-by-step explanation:
A plane figure with five straight sides and five angles.
Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Joseph's lunch costs = $13 without taxes
He leaves tip for the waiter = 17% of cost of the lunch
= 17% of $13
= 13 ×
= ( 13 × 0.17)
= $2.21
Total cost of lunch + tip = 13 + 2.21
= $15.21
Asappppp , pls help me :((
Answer:
Not a function
Step-by-step explanation:
This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!
Answer: That is not a function
Hope it helped
Step-by-step explanation:
Check my answers plz <3\
Answer:
all three are correct
Step-by-step explanation:
How do I find x in this triangle?
Answer:
B=5
Step-by-step explanation:
a2+b2=c2
12squared+b2=13squared
144+b2=169 Subtract by 144 on both sides
b2=25 Find square root of 25
b=5
5.7 x 3.6 help me asap
Answer:
20.52
Step-by-step explanation:
I used a calculator
Please help!!!!!!!!!!!!!!!!
Answer:
I don't know much about linear regression, but I would say the answer is 15.25. The x-value number closest to 75 is 77, and the corresponding y value is 16.5. Since there is a big difference between the other answers and 16.5, you can estimate and conclude that 15.25 is probably the answer. Sorry if this doesn't help much since I wasn't able to explain the correct way they asked you to do the problem. :/
Upload the worksheet with your constructions below.
Answer:
I attached a pic of my work, its 100% correct.
Its a bit messy....
What is the next term in the following sequence? 54, -18, 6,.....
A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue car: 30.8 miles per galon
Red car: 27 miles per galon
Blue car can travel longer distances on one galon!
Step-by-step explanation:
Blue car:
38 1/2=77/2=38.5 miles
1 1/4=5/4=1.25 gasoline
38.5/1.25=30.8miles per galon
Red car:
21 3/5=108/5=21.6 miles
4/5=0.8 gasoline
21.6/0.8=27 miles per galon
Vicki earns $30 for washing 6 cars. If Vicky charges the same rate, how many cars. must she wash to earn $35? (Label your answer for full credit)
Answer:
7
Step-by-step explanation:
if she got 30 from 6 cars then 30/6 is 5. $5 per car times 7 is $35
An angle measures 90º more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
theyre both 90 degrees because supplementary angles always add up to 180
Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons
Answer:
The answer is 144.
Step-by-step explanation:
The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.
If a line is parallel to y=-6x +3 , what is the slop of that line ?
A.-6
B.3
C.8
D.1/6
Answer:
Step-by-step explanation:
A
Find the value of x. Then find the measure of each labeled angle
Answer:
x = 109
Top Right Angle = 109
Bottom Right Angle = 71
Step-by-step explanation:
Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.
(x-38) + x + 90 + 90 = 360
2x + 142 = 360
2x = 218
x = 109
(x - 38) = (109 - 38)
71 degrees for bottom right angle
109 for top right angle
Boat travel 27 miles in two hours how many miles travel in 1/2 hours
Answer:
6.75
Step-by-step explanation:
4. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.
a. Triangle FGJ is congruent to triangle FEH.
b. Triangle EFH is congruent to triangle GFH.
c. Angle KHE is congruent to angle KFG.
d.Angle GHK is congruent to angle KHE.
e. Segment EH is congruent to segment FG.
f. Segment GH is congruent to segment EF.
Answer: C, E, F
Step-by-step explanation: dude tbh idek but ik that it’s the right answer
The true statements are:
Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.Given:
Triangle HEF is the image of triangle FGH after a 180-degree rotation about point KAnd Six statementsTo find:
The true statements out of given sic statements.
Solution:
ΔHEF is the image of ΔFGH after a 180°rotation about point K.
This simply implies that ΔFGH is congruent to ΔHEF. As no dilation is done while rotation of the ΔFGH.
In congruent ΔFGH and ΔHEF
HF = HF (common)GH = EFFG = EH∠FGH=∠HEF∠GFH=∠EHFCan also be written as:
⇒ ∠KFG=∠KHE
∠GHF=∠EFHCan also be written as:
⇒ ∠GHK=∠EFK
So, from the given statements the true statements are:
Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.Learn more about the congruency of triangles here:
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9 - 8(x+1) < 3 (2 - 4x)
Answer: x < 5/4
Step-by-step explanation:
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
Find the perimeter. Simplify your answer.
6-4
b
b
6-4
Answer:
6-4 because if you meausure it by the sides
