Mrs, Hansen usually makes a disinfecting solution by adding 1 2/3 cups of bleach to 5 gallons of water. Today, however, she is using only 3 1/2 gallons of water. She wants to make the solution so that it has the same disinfecting strength. How much bleach should she use?
Answers
Answer:
1 1/6 cups
Step-by-step explanation:
You want to know the amount of bleach to use with 3 1/2 gallons of water to obtain the same strength as 1 2/3 cups of bleach in 5 gallons of water.
ProportionThe quantities are proportional, so the amount of bleach (b) will need to be ...
b/(3 1/2 gal) = (1 2/3 cups)/(5 gal)
Multiplying by 3 1/2 gal, we get ...
b = (3 1/2)(1 2/3)/5 cups = 1 1/6 cups
Mrs. Hanson should use 1 1/6 cups of bleach in 3 1/2 gallons of water.
Related Questions
How many possible triangles can be created if measure of angle B equals pi over 6 comma a = 20, and b = 10?
0 triangles
2 triangles
1 triangle
Cannot be determined based on the given information
Answers
Based on the given information,
only one triangle is possible.
The correct option is C.
What is a 30-60-90 triangle?It is a triangle with constant angles of 30, 60, and 90. This triangle is always a right triangle, as one of the angles is 90 degrees. Thus, a right-angled triangle is formed by these angles. Additionally, the right angle is equal to the sum of two acute angles, which will have a 1: 2 or 2: 1 ratio.
Given:
The angle measure of B = π/6 = 30°.
a = 20, and b = 10
That means,
m∠A = 2∠B = 2 x 30 = 60°.
Now, there is only one possibility of a triangle, and that triangle is 30-60-90 triangle.
Hence, only one triangle is possible.
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Point V is somewhere on the line segment . If UV = 8, then find the length of .
Answers
Answer:
it is 3
Step-by-step explanation:
just subtract
find the vertical asymptotes
Answers
Answer: Vertical asymptotes are = [tex]-4, 1,4[/tex]
Horizontal asymptote = [tex]y=0[/tex]
Step-by-step explanation:
If you need explanation just say you want...
The perimeter of a triangle is 39 inches. If the length of the shortest side is 1/2 the length of the longest side, and the length of the third side is 1 less than the length of the longest side, what is the length of each side?
Answers
P = 39 a + b + c = 39 a = (1/2)b c = b - 1
Substituting (1/2)b for a and b - 1 for c, we get:
39 = (1/2)b + b + (b - 1) 39 = 2b - 1 40 = 2b b = 20
Therefore, the length of the shortest side is (1/2)b = (1/2)20 = 10 inches, the length of the longest side is b = 20 inches and the length of the third side is b - 1 = 19 inches
Which of the following statements proves the series 250 – 150 + 90 – 54 + … is geometric?
r equals five thirds
r equals three fifths
r equals negative three fifths
Answers
The given series is geometric when r equals negative three-fifths.
What is geometric series?
The geometric series refers to the total of terms with a common ratio between every pair of neighbouring terms. Geometric series can be of two different types: finite and infinite. The sequence is of the form {a, ar, ar², ar³, …….} where, a is the first term, and r is the "common ratio".
where, r = ar/a = (second term)/(first term)
Given, the series 250 – 150 + 90 – 54 + …
So, r = (-150)/250 = -3/5
or, r = 90/(-150) = -3/5
Hence, for the geometric series, r should be equal to negative three-fifths.
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examine whether you can construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm. Justify your answer
Answers
You cannot construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm, as the sum of the lengths of the two smaller sides is not greater than the length of the larger side.
What is the condition for 3 lengths to represent a triangle?In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.
The lengths for this problem are given as follows:
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NEED HELP ASAP PLEASE! What is the equation of the function shown in the table?
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
A: y = -2 x + 1
B: y = 2 x + 1
C: y = 2 x - 2
D: y = - 1/2x - 1
Answers
The equation of the function shown in the table is y=2x +1, the correct option is B.
What is the equation of a line passing through two given points in 2 dimensional plane?Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
We are given that;
The x and y of the function
Input x: -2 -1 0 1 2
Output y: -3 -1 1 3 5
Now,
The general equation of line
y=mx+c
Here, m= 5-3/2-1
m=2
Substituting the value of m in general equation.
y=2x +1
Therefore, the equation of line will be y=2x +1
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if 30% of a number is 7, then what is 10% of the number ?
Answers
Answer:
70.0000
Step-by-step explanation:
aka 70%
Question 1
Identify the function type represented by the graph. Explain your reasoning, and include at least one key feature to
support your choice.
Answers
The function type of the graph with asymptotes, x = 2, and y = 0 is a rational polynomial, where the degree of the numerator is less than the degree of the denominator, and (x - 2) is a factor of the denominator, which is a function of the form;
[tex]f(x) = \frac{1}{(x - 2)}[/tex]
What is an asymptote?An asymptote is a line to which the output value of a function approaches as the input value becomes very large approaches infinity.
The function type represented by the graph is a polynomial function that has an horizontal asymptote of y = 0, and a vertical asymptote of x = 2
A function has a vertical asymptote at the location at which the denominator approaches zero.
The vertical asymptote of x = 2 , indicates that the denominator approaches zero when x = 2, therefore, (x - 2) is a factor of the denominator
A function has an horizontal asymptote which is the value the function approaches as the input value approaches infinity.
Therefore, the horizontal asymptote of y = 0, indicates that the the degree of the numerator is less than the degree of the denominator
The function type in the question is therefore;
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In fall 2006, Pace University in New York raised its annual tuition from $25,000 to $29,750. Freshman enrollment declined from 1,475 in fall 2005 to 1,130 in fall 2006. Assuming that the demand curve for places in the freshmen class at Pace did not shift between 2005 and 2006, use this information to calculate the price elasticity of demand LOADING... . Use the midpoint formula in your calculation.
Answers
Answer:The answer is 20000
Step-by-step explanation:
Painted Pots lets customers choose and paint their own potter
y. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
Which equation can you use to find c, the cost of each teacup?
What was the cost of each teacup
Answers
The value of the equation is y = 4c + 18 , where c is the cost of each teacup and c = $ 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total cost Rebecca spend on teacups = $ 42
The cost of the large teapot = $ 18
The cost of small teacups be = c
The number of small teacups = 4
So , the equation will be
Total cost Rebecca spend on teacups = cost of the large teapot + ( number of small teacups x cost of small teacups )
Substituting the values in the equation , we get
42 = 18 + 4c
y = 4c + 18 be equation (1) , where y is the total cost
On simplifying the equation , we get
Subtracting 18 on both sides of the equation , we get
4c = 24
Divide by 4 on both sides of the equation , we get
c = $ 6
Therefore , the cost of each teacup is $ 6
Hence , the equation is y = 4c + 18
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Maya had $32. She spent all the money on buying 3 notebooks for x dollars each and 4
packs of index cards for y dollars each. If Maya had bought 5 notebooks and 5 packs of
index cards, she would have been short $18. Which system of equations represents this
situation?
O 3x + 4y = 32 and 5x + 5y = 50
O 3x+4y= 32 and 5x + 5y = 18
O 3x + 4y = 50 and 5x - 5y = 18
O 3x - 4y= 32 and 5x - 5y = 50
Answers
The system of equations which represents this
situation is 3x+4y= 32 and 5x + 5y = 18.
The correct answer choice is option B
Which system of equations represents the situation?Amount with Maya = $32
Amount spent on each notebook = x
Number of notebook = 3
Amount spent on each pack of index cards = y
Number of index cards = 4
Maya bought 5 notebooks and 5 packs of
index cards
$18 short = $32 - $18
= $14
3x + 4y = 32
5x + 5y = 14
In conclusion, the system of equation is 3x+4y= 32 and 5x + 5y = 18.
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what is the value of 8.4n - 3.2p, when n=4 and p=-2
Answers
Answer:
33.6-(-6.4)=40
Step-by-step explanation:
1. 8.4×4
2. 3.2x-2
3. 33.6-(-6.4)
4. 40
the two negatives become positive
Aubrey broke a cell sample into 15 batches, each way 1.3×10 to the -7th grams. How much did the original sample weigh? Use scientific notation to express your answer.
Answers
Answer:
Step-by-step explanation:
1.3 * 10 ^-7
is 0.00000013
0.00000013 times 15 is
0.00000195.
0.00000195 in scientific notation is
1.95*10^-6
Find the value of C that makes 16x^2 -24x + C a perfect square
Answers
The required value of C is 3 which makes 16x² - 24x + C a perfect square.
What is Perfect Square?A perfect Square is defined as an integer multiplied by itself to generate a perfect square, which is a positive integer. Perfect squares are just numbers that are the products of integers multiplied by themselves.
The expression is given in the question, as follows:
16x² - 24x + C
(4x)² - 24x + C
As we know that the factoring identity:
(a - b)² = a² - 2ab + b²
After comparing, we have a = 4x and 2ab = 24x
Solving for b:
2(4x)b = 24x
b = 24x/8x
b = 3
So 16x² - 24x + 3 = (4x - 3)²
This means the required value of C is 3 which makes a perfect square.
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The area of a rectangular wall of a barn is 110 square feet. Its length is 12 feet longer than twice its width. Find the length and width of the wall of the barn.
width= =feet
Answers
The length and width of the rectangular wall of a barn given the area is 22 feet and 5 feet respectively.
What is the length and width of the wall of the barn?Area of the rectangular wall of a barn = 110 square feet
Width of the barn = w
Length of the barn= 2w + 12
Area of a rectangle = length × width
110 = (2w + 12) × w
110 = 2w² + 12w
equate to 0
2w² + 12w - 110 = 0
w² + 6w - 55 = 0
using factorization method of solving quadratic equation
w² + 11w - 5w - 55 = 0
w(w + 11) - 5(w + 11) = 0
(w - 5) (w + 11) = 0
w = 5 or w = -11
The width of the rectangular barn cannot be negative
Therefore,
Width of the barn = w
= 5 feet
Length of the barn= 2w + 12
= 2(5) + 12
= 10 + 12
= 22 feet
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Which one of the following items is not necessary in preparing a statement of cash flows?
O Determine the cash provided by operations
O Determine cash from financing and investing activities
O Determine the cash in all bank accounts
Determine the change in cash
Answers
The cash flow statement shows the cash the business has generated from operations, investments, and financing. Net cash flow is the name given to this sum.
What is meant by statement cash flows?In financial accounting, a cash flow statement, often called a statement of cash flows, is a financial statement that breaks down the analysis into operating, investing, and financing operations. It illustrates how changes in balance sheet accounts and income effect cash and cash equivalents.
A cash flow statement lists all of an organization's cash inflows from current operations and outside investment sources. The cash flow statement shows the cash the business has generated from operations, investments, and financing. Net cash flow is the name given to this sum.
Functionally speaking, cash flows are categorized according to the nature of the underlying transaction. The statement's main goal is to give pertinent details about the agency's cash inflows and outflows during a given time period.
Therefore, the correct answer is option d) Determine the change in cash.
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Please help me. I'll give brainliest.
Answers
Answer: The final balance is $11,015.84.
The total compound interest is $3,845.84.
Eighteen low-fat wheat crackers have 3 grams of fat. How many grams of fat do 63 of these crackers have?
Answers
Answer:
10.5
Step-by-step explanation:
18/3 = 63/x
18 * x = 63
18 * 3.5 = 63
3 * 3.5 = 10.5
If f (x) = 5x - 4 find f(2).
10
48
2
6
Answers
Answer:
6
Step-by-step explanation:
f(2) = 10-4 = 6
Answer:
[tex] \sf \: d) \: 6[/tex]
Step-by-step explanation:
Given function,
→ f(x) = 5x - 4
We have to find,
→ The required value of f(2).
Now value of f(2) will be,
→ f(x) = 5x - 4
→ f(2) = 5(2) - 4
→ f(2) = 10 - 4
→ [ f(2) = 6 ]
Therefore, the answer is 6.
How can credit cards be safer than cash? a. It is harder to lose a single credit card than a large number of bills. b. A credit card requires a signature, so it is impossible for anyone other than you to use. c. If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges. d. Cash can be miscounted, but credit cards cannot.
Answers
If a merchant does not hold up their end of an agreement, you can call the credit company and dispute the charges. This way, credit cards can be safer than cash.
What is credit card?
A credit card is a small plastic payment card that is provided by a person's bank and enables the cardholder to pay a merchant for products and services depending on the cardholder's accumulated debt.
To be on the safe side in the event that a merchant breaches an agreement, a cardholder may contact the credit bureau to resolve the disputed charges.
So, this way credit cards can be safer than cash.
Hence, option C is the correct solution.
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Marsha deposited $7,000 into a savings account 4 years ago. The simple interest rate is 2%. How much money did Marsha eam in interest?
Answers
Answer:
$560
Step-by-step explanation:
The formula for simple interest is:
I = Prt, where P is the principal, r is the interest rate, and t is the time (in years).
Plugging in the values, we get:
I = $7,000 * 2% * 4 years = $560
So, Marsha earned $560 in interest.
help please i don’t know what to do
Answers
Answer:
Add 3 and then multiply by 5.
Step-by-step explanation:
The problem looks like this to me:
[tex] \dfrac{m}{5} - 3 = 8 [/tex]
If this is correct, then the operations are:
Add 3 to both sides.
Multiply both sides by 5.
I don't see that answer. The picture is not very clear to me. What is the denominator of the fraction?
How long is a movie if it starts at 2:25pm and ends at 16:41 pm
Answers
Answer:
It would be a little over 2 hours or so since 16:41 is just 4:41.
2 hours and 16 minutes
Step-by-step explanation:
You're welcome.
Examine the figure below, find the length of b, round to the nearest whole
number.
32°
L
b
M
Answers
The length of the side using cosine rule and approximating to a whole number gives 23
How to use Cosine Rule?The law of cosines is used to find the missing parts of an oblique triangle when either the two-sided measurements and the included angle measure are known (SAS) or the lengths of the three sides (SSS) are known.
This is expressed as;
b² = a² + c² - 2ac cos b
Plugging in the relevant values gives;
b² = 28² + 41² - 2(28 * 41) cos 32
b² = 2465 - 1947.118
b² = 517.882
b = √517.882
b = 22.757 ≈ 23
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1. Items a company has purchased and paid for, but has not used are called
A. advanced
B.purchased
C.prepaid
D. long-term liability
items.
Answers
Answer:
the ans is advanced
I hope you get your ans
1. For
what value of x is the
3(x + 2)-2x = 12 true?
A. 6
B. 10
C. 12
D. 14
E. 18
1.4.1 Set
the equation
Answers
Answer: A. 6
Step-by-step explanation:
Answer: I think D.
Step-by-step explanation: why not pick D…..
Hope this helps^^
Find the missing values.
Select two answers.
Answers
Answer:
a= 12, b=4, Choices B and F
Step-by-step explanation:
2/2=1
8/2=4
12/2=6
Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line.
2x+4<10
Answers
The solution set of the inequality is [3, ∝)
How to determine the solution setFrom the question, we have the following parameters that can be used in our computation:
2x + 4 < 10
Subtract 4 from both sides of the inequality
So, we have the following representation
2x + 4 - 4 < 10 - 4
Evaluate the like terms
2x < 6
Divide both sides by 2
x < 3
When represented as an interval notation, we have
[3, ∝)
See attachment for the inequality of the solution set
Hence, the solution is [3, ∝)
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Hello can you help me solve
Answers
Answer:
(p o q) = 54
(q o p) = 68
Step-by-step explanation:
Another way to write is (p o q)(3) is p(q(3)). As you can see, you start with the inner function and 3 is an input in the q(x) function. Then, the output of this becomes the input of p(x) (the outer function), which yields a final output and the answer:
[tex]p(x) = 4x + 2\\q(x)=5x-2\\\\p(q(3))\\\\q(3)=5(3)-2=13\\p(13)=4(13)+2=54[/tex]
You do the same process for (q o p)(3), which can be written as q(p(3)), where you start with p(3) and then plug in this result as the input for q(x):
[tex]p(x)=4x+2\\q(x)=5x-2\\\\q(p(3))\\\\p(3)=4(3)+2=14\\q(14)=5(14)-2=68[/tex]
