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.
Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?
Answer:
$58.33
Step-by-step explanation:
Set up a proportion where x is the amount she makes for 7 hours:
[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]
Cross multiply and solve for x:
3x = 175
x = 58.33
So, after working for 7 hours, she will make $58.33
Answer:
About 60-65$
Step-by-step explanation:
Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3
what is the distance betwen (–3, –6) and (–3, 1)
Answer:
the square root of 7
Step-by-step explanation:
( -3 + 3 ) + ( 1 + 6 )
0 + 7
7
If the pattern continues, how many stars will be in the Stage 15 figure?
Answer:
There would be 45 stars in a stage 15 patteren
Which choices are equivalent to the fraction below? Check all that apply.
18/36
1.6/18
2.8/18
3.1/3
4.1/2
5.3/4
6.6/12
the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed
Answer:
Step-by-step explanation:
229,613 cm ^3 took test.
Whats 2 & 1/2 divided by 3 & 1/3
A = 3/5
B = 3/4
C = 4/10
D= 15/12
help pls 25 points
Answer:
B = 3/4
Step-by-step explanation:
2 1/2 / 3 1/3
can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10
5/2 x 3/10 cross multiply
15/20 = 3/4
Answer:
It would be B. 3/4
Step-by-step explanation:
You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"
When multiplied, you will get "15/20" which simplifies to "3/4"
Which number has the same absolute value as -2?
0
-1/2
1/2
2
Answer:
2
Step-by-step explanation:
The absolute value of a positive is that same number
For example the absolute value of 4 is 4
The absolute value of a negative is that same number without the negative sign.
For example, the absolute value of -4 is 4
HELP ASAP
what is the domain of the function shown on the graph?
A sofa is on sale for 32% off. The sale price is $527.
What is the regular price?
Answer:
$1646.875
I hope this helps!
Ten less than seven times a number is twenty three.
Answer:
I believe the number is 4.7
Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.
Answer:
P=0.0000037
P=0.00037%
Step-by-step explanation:
Probability
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]
Finally, the probability of getting the remaining ace out of the 49 cards is:
[tex]\displaystyle \frac{1}{49}[/tex]
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]
[tex]\displaystyle P= \frac{1}{270,725}[/tex]
P=0.0000037
P=0.00037%
what is slope intercept form?
Answer:
y=mx+b
anajsjsjsjsjsjsjjsmsm
A sixth-grade class is painting a mural. To make a darker shade of orange, they use a ratio of 5 ounces of red paint to 3
ounces of yellow paint. Use this ratio to consider the amount of yellow paint needed for each amount of red paint listed in the table.
Point Red Paint, x
(ounces) Yellow Paint, y
(ounces)
A
5
B
15
C
20
Determine ordered pairs for points A
, B, and C
, and graph the relationship of the amount of red paint to the amount of yellow paint on the coordinate plane.
Click on the grid to plot the three points.
Answer:
I think its B
Step-by-step explanation:
What is the rate of change of (-3,7) and (5,-9)
Answer: sorry wish I could help
Step-by-step explanation:
Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?
If a restaurant charges $9.90 for 2 sandwiches, how much will the restaurant charge for 15 sandwiches?
Find the value of g when 59+ 12 equals 29 + 18.
Answer:
i dont know if you typed this correctly but 59+12=29+18 is false
Step-by-step explanation:
i know if what your looking for but o well
PLEAZZZZZZZZZZZ HELPPPPPPP will mark brainlist
The table compares the main course and the side dish each person in Hiroki's family ordered at a restaurant.
Can the side dish be represented as a function of the main course?
Main course Side dish
Pasta primavera Salad
Fish Rice
Burger Potato chips
Fish Rice
Veggie burger Salad
Burger Potato chips
Pasta primavera Salad
Burrito Rice
Answer Choices
Yes (A)
or No (B)
Answer:
I know I'm late but the answer is yes!
Step-by-step explanation:
I got it correct on Khan academy:)
Answer:
Yes
Step-by-step explanation:
Khan academy:
Katherine uses $\frac{7}{10}$ of a gallon of red paint to paint $\frac{3}{5}$ of her wall. How many gallons of red paint will she use to paint her whole wall? There is no 5/5
Answer:
1.167 gallons
Step-by-step explanation:
Given that:
Fraction of red paint used = 7/10 of a gallon
Fraction of wall painted = 3/5
Gallon of paint required to paint the entire wall:
Fraction of entire wall = 1/1
7/10 paint = 3/5 wall
x paint = 1 wall
Cross multiply
(3/5)x = 7/10
Divide both sides by 3/5
3/5x ÷ 3/5 = 7/10 ÷ 3/5
(3/5)x * 5/3 = 7/10 * 5/3
x = 35 / 30
x = 7/6 = 1.167 gallons of red paint
Expand.
Your answer should be a polynomial in standard form.
(3b-4)(b+2)=
Answer:
3b^2 +2b -8
Step-by-step explanation:
Answer:
[tex]3b^2+2b-8[/tex]
Step-by-step explanation:
Which statement about rigid transformations is true?
A.
A rigid transformation preserves only the side lengths of a polygon.
B.
A rigid transformation preserves only the angle measures of a polygon.
C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.
D.
A rigid transformation preserves neither the side l
Answer:
The answer is B because it is only the measure of the polygon
Which region represents the solution to the given system of inequalities?
Answer:
The intersection region shown in the graph attached is the solution of the system of inequalities.
Step-by-step explanation:
Answer:
Region A
Step-by-step explanation:
y<-1/2x
y greater than or equal to 2x+3
Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)
please help and the question is in the docs
Answer:
sfuc,k u
Step-by-step explanation:
answer question for brainliest
The table shows the listed sale price for bottled water at four stores.
Which store charges the LEAST amount per bottle of water?
Store 1 Store 2 Store 3 Store 4
Three 12 packs One 12 pack Four 6 packs One 6 pack
$10.49 $3.89 $7.99 $2.29
A
Store 1
B
Store 2
C
Store 3
D
Store 4
Answer:
I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please
math need help please
Answer:
same side interior
Step-by-step explanation:
A track team has 4 runners on a relay team. If by coincidence each runner takes an average of 45.48 seconds to complete her leg of the relay, what is the total time to run the relay?
Answer:
181.92 seconds
Step-by-step explanation:
We are given that,
Time taken by each person in the team = 45.48 seconds
Number of members in the team = 4
It is required to find the total time taken by the team to finish the race.
Thus, the time taken taken = 4 × 45.48 = 181.92 seconds
Hence. the team finished the race in 72.4 seconds.
HURRYYYYYYY PLS BEFORE 11:59
The choices are
A. 35
B. 145
C. 55
D. 75
Answer:
Pretty sure it is A.
Step-by-step explanation:
m4 is equal to m8 because they are same side interior angles and so you set the 2 equations equal to each other to find x. Then plug it in.
Answer:
i think 75
Step-by-step explanation:
sorry if wrong
Phillipe says he cannot simplify the expression 5^c • 2^c. Complete the statement about Phillipe's claim.
Answer:
Step-by-step explanation:
[tex]a^{m} * b^{m}[/tex] = [tex](ab)^{m}[/tex]
Yes, he can!!
[tex]5^{c} * 2^{c} = (2 * 5 )^{c}[/tex] = [tex]10^{c}[/tex]
For example,
2³ × 3³ = 8 × 27 = 216
6³ = 216
The expression can not be simplified as it do not have same base, and can be written as [tex]10^c[/tex]
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, Phillips says he cannot simplify the expression [tex]5^c.2^c[/tex]
She can not simplify the expression because the bases of the expression are not same, and this expression is same as
[tex]5^c.2^c\\\\= (5.2)^2\\\\=10^c[/tex]
Hence, the expression can not be simplified as it do not have same base, and can be written as [tex]10^c[/tex]
Learn more about expressions, click;
https://brainly.com/question/14083225
#SPJ2
(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?
Answer:
x=-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
2(x - 3) = 4x
2x - 6 = 4x
2x - 4x = 6
-2x = 6
x = -3
I hope this helps you :)
Write an equation of a line given the point (2,6) and a slope of 4,
Answer:
y=4x-2
Step-by-step explanation:
y=mx+b
plug in known variables
6=(4)(2)+b
simplify
b=-2
plug in m and b
y=4x-2