Using tha basic multiplication and division, Stan will need 960 sprinkles to make 60 cookies.
What is algebra?In the branch of mathematics known as algebra, a situation is described using mathematical symbols, variables, and arithmetic operations like addition, subtraction, multiplication, and division that produce meaningful mathematical expressions.
The sprinkles needed for 1 cookie are given by
24 cookies need sprinkles = 384
1 cookie will need sprinkles = 384 ÷ 24
= 16 sprinkles
Now, sprinkles needed for 60 cookies are given by
1 cookie needs sprinkles = 16
60 cookies will need sprinkles = 16 × 60
= 960 sprinkles
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The correct question is:
"Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p) he will need to make 60 cookies. He assumes each cookie will have the same number of sprinkles. How many sprinkles does Stan need to make 60 cookies?"
What value of x is in the solution set of the inequality 4x – 12 ≤ 16 + 8x?
–10
–9
–8
–7
Answer:
-7
Step-by-step explanation:
[tex]4x-12 \leq 16+8x \\ \\ -12 \leq 16+4x \\ \\ -28 \leq 4x \\ \\ 4x \geq -28 \\ \\ x \geq -7[/tex]
A cylindrical well has a radius of 8 feet and a height of 13 feet. What is the volume of the well? Use 3.14 for pi round your answer to the nearest hundredth
The volume of A cylindrical well has a radius of 8 feet and a height of 13 feet will be 2612.48 feet³ as the definition of volume says, "The space occupied within an object's boundaries in three dimensions is referred to as its volume. It is also referred to as the object's capacity."
What is volume of cylinder?Each object in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's boundaries in three dimensions is referred to as its volume. It is also referred to as the object's capacity.
Here,
Volume=πr²h
r=8 feet
h=13 feet
Volume=π*8²*13
π=3.14
volume=3.14*64*13
volume=2612.48 feet³
According to the definition of volume, a cylindrical well with a radius of 8 feet and a height of 13 feet will have a volume of 2612.48 feet³ "The volume of an object is the area occupied within its three-dimensional boundaries. It is additionally known as an object's capacity."
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how to do y intercept form??????????
Answer:
-1,1 + 2,4 it think
Help me please I haven't been able to understand his stuff
This pattern is additive because when we add 6 to x we get y
12+6=18
24+6=30
48+6=54
60+6=66
so the answer is D
Find the unknown length.
Answer:
I believe is x 25
Malena is in a book club. The graph shows a proportional relationship between the number of the books Malena has read and the number of the years she has been in the club.
Given:
There are given the graph to find the slope:
Explanation:
To find the slope, we need to select two intersecting points.
So,
The two points are:
[tex](2,30),(4,60)[/tex]Now,
From the formula to find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Then,
[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{60-30}{4-2} \\ m=\frac{30}{2} \\ m=15 \end{gathered}[/tex]So,
The slope of the given line is 15.
Final answer:
Hence, the correct option is D.
ContactExtras30To add or subtract fractions with different denominators, change the fractions toequivalent fractions with the same denominator. The new denominator is the leastcommon denominator (LCD).Question 22What is18+ 1 / 2? Give your answer as a mixed fraction.3 1/2© ©4 418476I don't knowOne attemptYou answered 1 out of 1 correctly. Asking up to 9.
answer: 18 1/2
What is the slope of the line that passes through the points (0, -6) and (0, -5)?
Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Slope = change in y/change in x
Start with y: Our y2 term is -5, and y1 is -6
Set up the equation:
y2-y1
Plug in our values:
-6 - (-5) = -6 + 5 == -1
Now x:
x2 is 0, and x1 is 0
Set up the equation:
x2-x1
Plug in our values:
0-0 = 0
Now, put those two values together and you have the slope!
-1/0 is the slope
We can simplify this further though.
Anything divided by 0 is 0, so the slope = 0
The area of a rectangular picture frame is 4 3/8 square inches. The length of the frame is 1 2/5 inches. Find the width of the frame
The width of the rectangular frame is 3 1/8 inches.
What is the width?It should be noted that the area of a rectangular picture frame is 4 3/8 square inches and the length of the frame is 1 2/5 inches.
The area of a rectangle is:
= Length * Width
Therefore, the width will be:
= Area / Length
= 4 3/8 ÷ 1 2/5.
= 4.375 / 1.4
= 3.125 or 3 1/8.
The width is 3 1/8 feet.
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Which list shows all the factors of 16? 1,4, 16 1, 2, 8, 16 1, 2, 4, 8, 16 1,2,4,6,8,16
g(x) = 5x? – 9x - 7x + 12) What is the degree of the following polynomial?
Leading coefficient means the number that goes multiplicating the bigger exponent ,in this case is -9 because -9 multiplies x^3
Leading coefficient is the bigger exponent in a polynomial. In this case is 3 ,because -9x^3 is the biggest number in exponent.
So finally is a third degree equation.
Kevin needs to have a toilet Kevin needs to have a toilet repaired in his house. The cost of the new plumbing fixtures is $160 and the labor is $50/hr.(a) Write a model that represents the cost of the repair C (in $) in terms of the number of hours of labor x.
Given that:
Cost of the new plumbing fixtures = $160
Labor charge per hour = $50
Let x denotes the number of hours of labor. Then,
[tex]\begin{gathered} \text{Cost of repair = Cost of the new plumbing fixtures+Labor charge per } \\ \text{hour}\cdot Number\text{ of hours of labor} \\ C=160+50x \end{gathered}[/tex]It represents the required relation.
Expand this problem.
The result of the expression (x / m^2 - 2x / m)(3x^2y / m) is (3x^3y / m^3) - (6x^3y / m^2)
The given expression is
(x / m^2 - 2x / m)(3x^2y / m)
Here we have to apply distributive property
The distributive property states that multiplying the sum of two or more variable by a number gives the same result as when each variable is multiplied individually by the number and the products are added together.
The distributive property of subtraction is
A(B-C) = AB - AC
Apply the distributive property
(x / m^2 - 2x / m)(3x^2y / m)
= (x / m^2)(3x^2y / m) - (2x / m)(3x^2y / m)
Multiply the terms
= (3x^3y / m^3) - (6x^3y / m^2)
Hence, the result of the expression (x / m^2 - 2x / m)(3x^2y / m) is (3x^3y / m^3) - (6x^3y / m^2)
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a horizontal beam safely supports a load P that varies jointly as the product of the width W of the beam and the square of the depth D and inversely as the length L. a beam that has a width of 5in., depth of 12in., and length of 8in., can safely support 1260 lb. determine the safe load in pounds of a beam made from the same material if the beam is 20in. long
The Final Safe load = 6010.144 lbs.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.We are aware of the quantity of apples and the amount of money in the aforesaid problem.According to our question-
inverse proportionality means L = k/l
So the equation is:
L = k(wd2/l)
You are given:
w = 6 in
d = 5 in
l = 12 ft
L = 7666 lbs
7666 = k(6*52/12)
Solve for the constant, k.
7666 = k (6*25/12)
7666 = k (150/12)
7666 = k (12.5)
613.28 lbs/(ft.in3) = k
Use this k-value to solve for L in the last part of the question.
What safe load, L would a beam 3 in. wide, 7 in. deep and 15 ft long of the same material support? (Round off your answer to the nearest pound.)
w = 3 in
d =7 in
l = 15 ft
k = 613.28 l b s /(ft.in3)
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List all numbers from given set that are a. Natural numbers, b. Whole numbers, c. Integers, d. Rational numbers, e. Irrational numbers, f. Real numbers {-6,-3/5,0,0.25,2.4}
(a) Natural Numers: root 81 = 9
(b) Whole Numbers: 0, root 81 = 9
(c
Order from least to greatest. -0.36, 0.65 , - 8/15, 1/5
Step-by-step explanation:
Order from least to greatest. -0.36, 0.65 , - 8/15, 1/5
-0.36 = -0.36
0.65 = 0.65
- 8/15 = - 0.533333
1/5 = 0.2
least to greatest:
- 8/15 , -0.36 , 1/5 , 0.65
there are 85 pints of juice in 5 containers.Find the unit rate
Answer:
17 pints per container
Step-by-step explanation:
We take 85 : 5. Divide by 5, 17 : 1. 17 pints per container.
The Senate in a certain state is comprised of 59 Republicans, 39 Democrats, and 2 Independents. How many committees can be formed if each committee musthave 3 Republicans and 2 Democrats?
Given:
There are given that the Senate in a certain state is comprised of 59 Republicans, 39 Democrats, and 2 Independents.
Explanation:
According to the question, the committees must have 3 Republicans and 2 democrats
That means,
Choose 3 Republicans from 59 Republicans and 2 democrats from 39 Democrats.
The,
[tex](59\text{ choose 3)(39 choose 2)}[/tex]So,
[tex](59C_3)(39C_2)_{}[/tex]Then,
From the formula of combination:
[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]Then,
[tex](59C_3)(39C_2)_{}=(\frac{59!}{3!(59-3)!})(\frac{39!}{2!(39-2)!}[/tex]Then,
[tex]\begin{gathered} (59C_3)(39C_2)_{}=(\frac{59!}{3!(59-3)!})(\frac{39!}{2!(39-2)!} \\ =(\frac{59!}{3!(56)!})(\frac{39!}{2!(37)!}) \\ =(\frac{59\times58\times57\times56!}{3!(56)!})(\frac{39\times38\times37!}{2!(37)!}) \\ =(\frac{59\times58\times57}{3!})(\frac{39\times38}{2!}) \end{gathered}[/tex]Then,
[tex]\begin{gathered} (\frac{59\times58\times57}{3!})(\frac{39\times38}{2!})=(\frac{59\times58\times57}{3\times2\times1})(\frac{39\times38}{2}) \\ =(\frac{59\times58\times57}{6})(\frac{39\times38}{2}) \\ =\frac{289070028}{12} \\ =24089169 \end{gathered}[/tex]Final answer:
Hence, 24089169 committees can be formed.
Is it a
linear function ?
I NEED HELP
Lynn and Trey each stood at a different location on a field and threw a ball. Lynn threw to the 24-yard line and Trey threw to the 19-yard line. Who threw farther, and how do you know?
Lynn threw a ball farther because 24 yard line > 19 yard line
In this question we have been given Lynn and Trey each stood at a different location on a field and threw a ball.
Lynn threw to the 24-yard line and Trey threw to the 19-yard line.
We need to determine who threw a ball farther.
As we know 24 yards > 19 yards
So, Lynn threw a ball farther
Therefore, Lynn threw a ball farther because 24 yard line > 19 yard line
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Which of the following quantities are directly proportional?
the amount of homework received by an RSM teacher and the time that the teacher
spent grading it PLS HELP I WILL GIVE BRAINLEIST
The amount of homework received by an RSM teacher and the time that the teacher spent grading it is the case of directly proportional.
What are direct and indirect variations ?
One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.
When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.
Direct proportion occurs when one value increases and the other also increases
As the amount of homework received by an RSM teacher increases, the time that the teacher spent grading it also increases.
So, this is a case of directly proportional.
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Re-write 2/5 1/15 as a unit rate
Answer:
6:1
Step-by-step explanation:
I helped a student with this answer
when f(x) = -3 what is x?
The function f(x) = -3; the value of x is not defined as the function is independent of 'x'.
What is defined as the independent function?The independent variables are function inputs, while the dependent variables are function outputs.
The value of the a dependent variable is determined by the input. The independent variable, on the other hand, is unrelated to anything; it is simply whatever you want to put in! The connection between the dependent as well as independent variables can be investigated.We can openly manipulate independent variables by trying to plug in any input value. In most math problems, we consider x to be the independent variable because it is the one we generally change.On a graph, we generally plot the independent variable just on horizontal axis (which we also call the x-axis).For the given question;
The given function is;
f(x) = -3
To find the value of x, which is to be substituted in the function to find f(x).
But as there is no x value present for the function, the function f(x) is said to be independent function.
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If you invest $1500 in at an interest rate of 7% for 5 years and the interest is compounded quarterly, how much money will you have after the 5 years? Round your answer to the nearest cent.
Answer:
$2122.17 (correct to the nearest cent).
Explanation:
To find the amount after 5 years, we use the compound interest formula below:
[tex]\begin{gathered} A=P(1+\frac{i}{k})^{nk} \\ \text{Principal, P}=1500 \\ Interest\text{ Rate, i =7\%} \\ \text{Period, k=4 (Quarterly)} \\ \text{Number of years, n=5} \end{gathered}[/tex]Substitute the given values:
[tex]\begin{gathered} A=1500(1+\frac{0.07}{4})^{4\times5} \\ =1500(1+0.0175)^{20} \\ =1500(1.0175)^{20} \\ =\$2122.17 \end{gathered}[/tex]After 5 years, you will have $2122.17 (correct to the nearest cent).
Kala and josh walk around a track.kala walks each lap in 6 minutes. josh walks each lap in 10 minutes. the two of them begin at the starting line at the same time. they walk until they meet again at the starting line. how many laps does kala complete?
What is the value of x? 50 points
Answer:
x=25
vertical angles are congruent so
4x-25=75
+25
4x=100
÷4
x=25
Answer:
x = 25°
Step-by-step explanation:
We know that,
→ opposite angles are equal.
Forming the equation,
→ (4x - 25)° = 75°
Now the value of x will be,
→ (4x - 25)° = 75°
→ 4x = 75° + 25°
→ x = 100°/4
→ [ x = 25° ]
Hence, the value of x is 25°.
What figure can be made using the net shown?
a hexagonal prism
an octagonal prism
a hexagonal pyramid
an octagonal pyramid
Answer:
Step-by-step explanation:
an hexagonal pyramid
Multiple Representations of a Story Juan is ordering a flower arrangement online for Valentine's Day. Each rose costs $5 and the vase sells for $10. enter the equation of the line
Let:
r be the number of roses
c be the cost of a flower arrangement
Let's consider that a flower arrangement has 1 vase and "r" roses.
Then, the cost of a flower arrangement is:
c = cost of vase + cost of roses
c = 10 + 5r
Which is the same as
c = 5r + 10
Answer:
c = 5r + 10
evaluate the expression [tex]{ - 4}^{2} [/tex]
Step 1: Let's evaluate the following expression
[tex](-4)^2[/tex]Step 2: Solve the exponent expression:
[tex](-4)^2\text{ = -4 }\ast\text{ - 4 = 16}[/tex]The correct answer is 16.
For the second case, we apply the same principle:
[tex]-5^2\ast4\text{ = -5}\ast\text{ -5 }\cdot\text{ 4 = 25 }\ast4\text{ = 100}[/tex]Agnes pays state income tax equal to 3.75% of her federal taxable income. She pays federal income tax equal to 28.4% of her federal taxable income. This year she paid $15,449.60 in federal income tax. How much did Agnes pay in state income tax?
The amount that Agnes paid in state income tax is; SI = $2,040
How to calculate state income tax?To find the state income tax in this situation, we would use this equation:
t = px
Where;
t = Total paid
p = percentage
x = federal income tax
In this case, we would need to find what x is.
We are given;
Total paid = $15,449.60
Percentage of federal tax = 28.4% = 0.284
The equation is;
15,449.60 = 0.284x
dividing both sides by 0.284 gives;
x = $54,400.
Now, we can calculate Agnes' state income tax from the formula:
SI = x × p
SI = 54400 × 0.0375
SI = $2,040
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