The cost of one can of tomatoes is $1.30, so nine cans at this rate would cost $11.70.
If five cans of tomatoes cost $6.50, to find the cost of nine cans, we first need to find the cost of one can of tomatoes. We do this by dividing the total cost by the number of cans.
Cost per can = Total cost / Number of cans
Cost per can = $6.50 / 5
Cost per can = $1.30
Now that we know how much one can costs, we can find out how much nine cans will cost by multiplying the cost per can by nine.
Total cost for nine cans = Cost per can × Number of cans
Total cost for nine cans = $1.30 × 9
Total cost for nine cans = $11.70
Therefore, nine cans of tomatoes will cost $11.70.
Rewrite 56 + 32 as the product of the GCF and a sum.
Final answer:
To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.
Explanation:
To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.
Next, we divide both 56 and 32 by the GCF to find the other factor:
56 ÷ 8 = 7
32 ÷ 8 = 4
Now, we represent the original sum as the product of the GCF and the sum of the results from the division:
56 + 32 = 8 × (7 + 4)
When we simplify the sum inside the parentheses, we get:
8 × 11
Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.
Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.
What is the youngest age Juanita's cousin can be?
Answer:
45
Step-by-step explanation:
I can confirm, the first guy is right (I did the test)
How to solve quadratic inequalities algebraically?
Solve ( x – 3)( x + 2) > 0.
Solve ( x – 3)( x + 2) = 0. By the zero product property,
Make the boundary points. Here, the boundary points are open circles because the original inequality does not include equality (see Figure 1).
Select points from the different regions created (see Figure 2).
See whether the test points satisfy the original inequality.
Since x = –3 satisfies the original inequality, the region x < –2 is part of the solution. Since x = 0 does not satisfy the original inequality, the region –2 < x < 3 is not part of the solution. Since x = 4 satisfies the original inequality, the region x > 3 is part of the solution.
Represent the solution in graphic form and in solution set form. The graphic form is shown in Figure 3.
The solution set form is { x| x < –2 or x > 3}.
Figure 1. Boundary points.Figure 2. Three regions are created.Figure 3. Solution to Examplewhat are the new coordinates for (1,4) when rotated 180 degrees and 90 degrees counterclockwise, and 90 degrees clockwise?
Bill, bob, and barry are hired to paint signs. in 8 hours bill can paint 1 sign, bob can paint 2 signs, and barry can paint 1 and 1 / 3 signs. they all come to work the first day, but barry doesn't like the job and quits after 3 hours. bob works half an hour longer than barry and quits. how long will it take bill to finish 2 signs they were supposed to paint?
It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs.
Work done by Bill, Bob, and Barry collectively take the working efficiency in a defined time interval.
Barry's work in 3 hours:
[tex]\(3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \text{ sign}\)[/tex]
Bob's work in 3.5 hours:
[tex]\(3.5 \times \frac{1}{4} = \frac{7}{8} \text{ sign}\)[/tex]
Bill's work for the same time until Bob leaves (3.5 hours):
[tex]\(3.5 \times \frac{1}{8} = \frac{3.5}{8} = \frac{7}{16} \text{ sign}\)[/tex]
Total work done by all three in the first 3.5 hours:
[tex]\[ = \frac{1}{2} + \frac{7}{8} + \frac{7}{16}\\= \frac{8}{16} + \frac{14}{16} + \frac{7}{16} \\= \frac{29}{16} \text{ signs} \][/tex]
Remaining work to be done:
[tex]\[ = 2 - \frac{29}{16} \\= \frac{32}{16} - \frac{29}{16} = \frac{3}{16} \text{ signs} \][/tex]
Time for Bill to complete remaining work:
Bill’s rate: [tex]\( \frac{1}{8} \text{ signs per hour}\)[/tex]
Time to paint [tex]\( \frac{3}{16} \text{ signs}\):[/tex]
[tex]\[ =\frac{\frac{3}{16}}{\frac{1}{8}} \\= \frac{3}{16} \times 8 = \frac{24}{16} = 1.5 \text{ hours} \][/tex]
Thus, It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs. This confirms that the correct answer is 1.5 hours.
Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of negative 1 slope = -1 slope = 0 slope = undefined slope = 1
Slope is Undefined because it's just a vertical line and it's not angled...
F(x) =8+2x and g(x) =1/2x the value of f/g(5)
convert the 5th root of x^3 into a rational expression and explain the steps
What is 1/4 (5y-3)+1/16 (12y+17
What is the question? If you are only trying to expand the expression then the answer would be:
1/4 (5y-3)+ 1/16 (12y+17)
(5y/4) – (3/4) + (12y/16) + (17/16)
1.25y – 0.75 + 0.75y + 1.0625
2y + 0.3125
If you are trying to find for y, then you forgot to equate it to 0, that is:
2y + 0.3125 = 0
2y = -0.3125
y = 0.15625
It takes nim 2 2/3 hours to weave a basket. He worked Monday through Friday , 8 hours a day. How many baskets can he make?
Answer:
15 baskets
Step-by-step explanation:
In order to solve this question, first we need to know the amount of hours that Nim was able to work.
If Nim worked Monday through Friday, 8 hours a day, then:
Monday to Friday = 5 days
1 day = 8 hours
5 days * 8 hours = 40 hours
Out of these forty hours, Nim needs 2 2/3 hours to weave a basket. Therefore:
40 / (2 2/3) =
40 / (8 /3) =
40 * 3/8 =
120/8 = 15
A recipe calls for 2 1/4 cups of sugar. You want to make only 1/3 of the recipe. how much sugar will you need?
PLEASE HEP ME ANSWER THIS REALLY HARD QUESTION
What is the answer and steps?
Which fraction has a value that's equal to 7/8
multiply both numbers by the same number
so multiply by 2 you get 14/16
multiply by 3 you get 21/24
and so on
Sue scored a total of 35 points in two games. she scored 6 times as many points in the second game is the first. how many more points did she score in the second game?
What multiplication do you use to multiply 10 to the power of 4?
Number 1. Write an explicit formula for the nth term. Correct answer will get brainliest
Train passes through appleton station every 20 minutes how many trains pass through
Which names are correct for PM−→− ?
Select each correct answer.
PY−→−
MP−→−
TM−→−
PT−→−
The answers are PT−→− and PY−→−
What is the area of this shape ?
12 *16 = 192
1/2 *20*10 = 100
192 +100 = 292 square units
Consider the trinomial below x^2-20x+91 The factors of the given trinomial are
Franklin waters' annual gross pay is $55,400. He takes a married exemption of $4,000. His state income tax rate is 3.5 percent. How much will he pay annually in state tax?
WHAT THE VALUE OF 12.5X10 7
A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans.You decide to buy 3 packages of 10 cans. How much do you pay for each can?
simplify (8x3-5x-1)-(7x2+6x-10)
The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.
A. No, it is not a rectangle because the diagonals are congruent.
B. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
C. Yes, it is a rectangle because the diagonals are congruent.
D. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.
Answer:
(B)
Step-by-step explanation:
From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).
Therefore, No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.
Pls help me out here hope the points are good (no scams pls)
6/3 =2
15/3 =5
6/15 = 2/5
8/4 =2
20/4 =5
8/20 = 2/5
answer is B 2/5
List the sides of each triangle from shortest to greatest
Solve x2 = 144
Select one:
a. 72
b. 12
c. ±12
d. −12
So I chose B which I thought was correct but it was wrong
Power is the result of multiplying two numbers together. The solution of the x²=144 is ±12. The correct option is C.
What is power?Power is the result of multiplying two numbers together such that both numbers are equal to each other. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The solution of the given expression can be written as,
x² = 144
x² = 12×12 or -12×-12
x = √(12×12) or √(-12×-12)
x = 12 or -12
x = ±12
Thus, the solution of the x²=144 is ±12. This is because the multiplication of two positive numbers is positive, also, the sum of the two negative numbers is positive.
Hence, the solution of the x²=144 is ±12
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R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?
R is the midpoint of QS, if QR=2x and RS=x+3, then, the value of RS is:
RS is 6 units.
Here, we have that, R is the midpoint of QS, if QR=2x and RS=x+3.
Since R is the midpoint of QS, we know that QR is equal to RS.
Given that,
QR = 2x, and RS = x + 3,
we can set them equal to each other:
2x = x + 3
Now, let's solve for x:
2x - x = 3
x = 3
Now that we have the value of x, we can find RS:
RS = x + 3
RS = 3 + 3
RS = 6
So, RS is 6 units.
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