Division the action of separating something into the parts. It is a basic mathematics operation. The number of pies made by the cooking club to sell at a basketball game to raise money for the new math books is 2.
Given-The cafeteria contributed three pies to the sale.
Each pie was then cut into five pieces and sold.
There were a total of 40 pieces to sell.
What is division?Division the action of separating something into the parts. It is a basic mathematics operation.
Total 40 pieces are there to sell. Each pie was cut into five pieces. Hence the total pie in 40 pieces were,
[tex]=\dfrac{40}{8}[/tex]
[tex]=5[/tex]
Thus total 5 pies was made.
Now as the cafeteria contributed three pies to the sale but we have total 5 pieces was made. For find out the number of pies made by the cooking club we have to subtract the total pies made to the pies contributed by the cafeteria.Thus the number of pies made by the cooking club,
[tex]=5-3[/tex]
[tex]=2[/tex]
Hence the number of pies made by the cooking club to sell at a basketball game to raise money for the new math books is 2.
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f(x) = 8x – 2
g(x) = 9x + 2
What is h(x) = f(x) – g(x)?
Options:
h(x) = 17x + 14
h(x) = x + 4
h(x) = –x – 4
h(x) = –x + 14
Answer:
-x-4
Step-by-step explanation:
8x-2-(9x+2)
8x-2-9x-2
-x-4
Function h(x) = f(x) – g(x) = -x - 4
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given functions
f(x) = 8x – 2
g(x) = 9x + 2
h(x) = f(x) – g(x)
h(x) = (8x – 2) - (9x + 2)
h(x) = 8x - 2 -9x - 2
h(x) = (8x - 9x) + (-2 - 2)
h(x) = -x - 4
Hence, h(x) = -x - 4
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The product of twice a number and six is the same as the difference of eleven times the number and 6/5 . Find the number
Answer:
-6/5
Step-by-step explanation:
solution;
let,the number be x,
product of twice of x and six = the difference
difference of eleven times x and 6/5
or, (2x×6)=(11×x)-(6/5)
or, 12x = 11x - 6/5
or, 12x - 11x = -6/5
therefore,x =-6/5
Therefore, the number required is (-6/5) whose product of twice a number and six is the same as the difference of eleven times the number and 6/5 .
Given: Can you use ASA postulate or the AAS Theorem to prove the triangles congruent?
Answer:
by ASA only
explanation:
They are reflective towards each other making them congruent
Solve v= 1/3 bh for h
Answer:
Step-by-step explanation:
v= 1/3 bh
multiply by : 3
3v = bh
dividid by b : h = 3v/b
To solve for h in the equation v = (1/3)bh, you need to isolate h on one side. Multiply both sides by 3 to eliminate the fraction, then divide both sides by b to solve for h.
Explanation:To solve the equation v = (1/3)bh for h, we need to isolate h on one side of the equation.
First, we can multiply both sides of the equation by 3 to get rid of the fraction: 3v = bh.
Next, to solve for h, we divide both sides of the equation by b. This gives us the final answer: h = 3v / b.
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The price of a house increased from $400,000 to $500,000 in one year. What is the percent increase?
Answer:
80%
Step-by-step explanation:
The percent increase in the price of the house is 25%. This is calculated using the formula for percent increase: (Final value - Initial value) / Initial value * 100.
Explanation:The question is asking for the percent increase in the price of a house. The formula for calculating percent increase is: (Final value - Initial value) / Initial value * 100. In this case, the initial value is the original house price of $400,000 and the final value is the new house price of $500,000.
So, the calculation will be: ($500,000 - $400,000) / $400,000 * 100 = 25%.
Therefore, the price of the house increased by 25% over the year.
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What is the value of 128^3/7
Answer:
8
Step-by-step explanation:
what is the value of s(6)
Answer:
6s
Step-by-step explanation:
sx6 = 6s
Solve for x: 5 - (x + 5) > -2(x + 4)
kendra has 120 stickers . 10 stickers fill a page. how many pages can she fill?
Answer:
12 pages
Step-by-step explanation:
According to the question Kendra have 120 stickers
10 stickers fill a page
So, number of pages that can be filled be 120 stickers = [tex] \frac{120}{10} = 12[/tex]
Therefore, she can fill 12 pages by 120 stickers.
The total number of pages Kendra can fill with a total number of 120 stickers is 12 pages.
Kendra has 120 stickers, and 10 stickers fill a page.
To calculate how many pages she can fill, divide the total number of stickers by the stickers per page:
120 stickers ÷ 10 stickers/page = 12 pages.
Which number has the lowest value ?
a) 1/2 +0.30 b) 0.10 + 3/4 c) 1/3 + 0.50 d) 1/3 +0.40
Hey!
-------------------------------
Let's Solve A:
1/2 = 0.5
0.5 + 0.30 = 0.80
a = 0.80
-------------------------------
Let's Solve B:
3/4 = 0.75
0.10 + 0.75 = 0.85
b = 0.85
-------------------------------
Let's Solve C:
1/3 ≈ 0.33
0.33 + 0.50 = 0.83
c = 0.83
-------------------------------
Let's Solve D:
1/3 ≈ 0.33
0.33 + 0.40 = 0.73
d = 0.73
-------------------------------
Answer:
By solving each equation we can see that option A has the lowest value!
-------------------------------
Hope This Helped! Good Luck!
Among these options, option (d) with a value of 0.73 has the lowest value.
How did we determine the lowest value?
To determine which number has the lowest value among the given options, let's calculate the values of each option:
a) 1/2 + 0.30 = 0.5 + 0.30 = 0.80
b) 0.10 + 3/4 = 0.10 + 0.75 = 0.85
c) 1/3 + 0.50 = 0.33 + 0.50 = 0.83
d) 1/3 + 0.40 = 0.33 + 0.40 = 0.73
Among these options, option (d) with a value of 0.73 has the lowest value.
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PLZ HELP ME I NEED THIS ASAP
Mean = 110
Sample size = 45
Standard deviation = 6
Z score for 90% is 1.645 ( from Z-table).
Lower Limit = Mean - Z(SD/√Sample size))
Lower limit = 110 - 1.645(6/√45)
Lower limit = 108.5
Upper Limit = Mean + Z(SD/√Sample size))
Lower limit = 110 +1.645(6/√45)
Lower limit = 111.5
The interval is (108.5, 111.5)
Kyle practices 2.5 times as many hours as Grant does. Write an expression to
show how many hours Kyle practices. Let t equal the number of hours Grant
practices.
The expression to show how many hours Kyle practices is 2.5t, where t equals the number of hours Grant practices.
Explanation:If Kyle practices 2.5 times as many hours as Grant does, and we let t represent the number of hours Grant practices, then the expression to show how many hours Kyle practices would simply be 2.5t. This is because we are given the ratio of Kyle's practice time to Grant's practice time, which we can use to express Kyle's practice time in terms of Grant's.
can you guys help me out?
Answer:
5 inches
Step-by-step explanation:
V = (b² h) ÷ 3
Given that V = 25 and h = 3:
25 = (b² × 3) ÷ 3
25 = b²
b = 5
Therefore, the length of the base's sides is 5 inches.
what is 1/3 to the 2ed power
Answer:
1/9
1/3 x 1/3 = 1/9 (because 3x3 = 9)
Hey!
---------------------------------------------------------------
Solution:
Take the numerator and denominator and solve it to the 2nd power.
1² = 1
3² = 9
Put it back as a fraction.
1/9
---------------------------------------------------------------
Answer:
1/9
---------------------------------------------------------------
Hope This Helped! Good Luck!
What is the median of this list of numbers? 5, 10, 13, 7,5
Median: The middle number when all the numbers are listed in order.
To find the median of the data set shown here, we can first start by putting all the numbers in order from least to greatest.
Least to greatest - 5, 5, 7, 10, 13
Next, we locate the number that is exactly in the middle and if there is no number exactly in the middle, we find the two numbers and find halfway point between them.
The number that is exactly in the middle of the data set is 7 so our median is 7.
In Exercises 13 - 18 , find the value of x so that the function has the given value. (See Example 3.)
Answer:
-9
The problem:
If h(x)=-7x and h(x)=63, the what is the value of x?
Step-by-step explanation:
h(x)=-7x
You are asked to find x such that h(x)=63.
So you are solving:
h(x)=63 for x:
-7x=63
Divide both sides by -7:
x=63/-7
Simplify:
x=-9
Let's check:
h(x)=-7x
h(-9)=-7(-9)
h(-9)=63
So -9 is the answer.
The value of x in the equation y = 9 + 3x for a given y value can be found by rearranging the equation to x = (y - 9) / 3, and substituting the desired y value.
Explanation:The subject of this question is determining the value of x in the equation y = 9 + 3x. In this equation, the b term is 9 and the m term is 3, representing the y-intercept and the slope respectively. To find the value of 'x' that gives a specific 'y' value, one must rearrange the equation to solve for 'x': x = (y - 9) / 3. For example, if we wanted the y value to be 15, we would substitute into the equation and find that x = (15 - 9) / 3 = 2
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0.003 is 1/10 of which decimal?
Ⓐ0.3
Ⓑ0.03
Ⓒ0.33
Ⓓ 0.333
Teresa’s age is 5 years more than twice Ben’s age. If Ben is x years old, the expression _____ gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is _____ years.
Using a system of equations, it is found that:
If Ben is x years old, the expression 3x + 5 gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is 26 years.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
Variable x: Ben's age.Variable y: Teresa's age.Teresa’s age is 5 years more than twice Ben’s age, hence:
y = 2x + 5
The sum of their ages is:
x + y = x + 2x + 5 = 3x + 5.
Ben is 7 years old, hence the sum is given by:
3(7) + 5 = 26.
Then:
If Ben is x years old, the expression 3x + 5 gives the sum of Ben’s and Teresa’s ages. If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is 26 years.
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The sum of Ben's and Teresa's ages is represented by the expression 3x + 5, and when Ben is 7 years old, their total age is 26 years.
Explanation:The expression to represent the sum of Ben's age and Teresa's age, given that Ben is x years old and Teresa's age is 5 years more than twice Ben's age, is 2x + 5 + x. This can also be simplified to 3x + 5.
When Ben is 7 years old, we plug in the value 7 for x in the simplified expression to calculate the sum of their ages: 3(7) + 5, which equals 21 + 5.
Therefore, the sum of Ben's and Teresa's ages when Ben is 7 years old is 26 years.
How do I identify the rate of change on a linear function?
Answer:
Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run.
John and his three brothers share a cell phone plan. The cell phone company charges a flat rate of $90 per month, which the four brothers share equally. In addition, the cell phone company charges 25 cents per megabyte of data downloaded. Each brother pays for his own downloaded data.
John's share of the current cell phone bill is $147.50.
Which equation determines how many megabytes of data John downloaded?
Answer:
(147.50 - 22.5)/.25
Step-by-step explanation:
First subtract his portion of the $90. Which is $22.5, when subtracted from 147.5 you get $125. Now divide $125 by .25 cents and you get the amount of megabytes he downloaded.
Answer: 22.5+0.25x=147.50
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Flat rate: $90, (share equally among the four brothers means 90/4 =$$22.5 each) Cost per megabyte: $0.25 John's share: $147.50So, the equation is
22.5+0.25x=147.50
Where "x" is the number of megabytes of data that john downloaded
Feel free to ask for more if needed or if you did not understand something.
what is the answer to Simplify: √3/√15
Answer:
[tex]\frac{1}{\sqrt5}[/tex]
Step-by-step explanation:
[tex]\large{\frac{\sqrt{3}}{\sqrt{15}}=\frac{\sqrt{3}}{\sqrt{3.5}}=\frac{\sqrt{3}}{\sqrt{3}.\sqrt{5}}=\frac{1}{\sqrt{5}}}[/tex]
Catherine is 4 centimeters taller than ally, while Katrina is 5 centimeters shorter than ally. Let t represent ally's height in centimeters.
Answer:
4 is right yur
Step-by-step explanation:
1.6w - 1.2w + 3.5 + 4.7w
Answer:
8.6
Step-by-step explanation:
basically just do the order of operations
Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3). What are the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin?
A. I’(3, 6)
B. I’(6, 3)
C. I’(6, 2)
D. I’(8, 4)
Answer:
B. I’(6, 3)
Step-by-step explanation:
Multiply I(4, 2) by 1½:
2 × 1½ = 3
4 × 1½ = 6
So, your new coordinate is I'(6, 3).
I am joyous to assist you anytime.
Answer: B. I’(6, 3)
Step-by-step explanation:
The coordinates (x,y) of a shape after dilation by a factor of k centered at the origin is given by :-
[tex](x,y)\rightarrow(kx,ky)[/tex]
Given : Rectangle HIJK has vertices H(-3, 2), I(4, 2), J(4, -3), and K(-3, -3).
The coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin will be :_
[tex]I(4,2)\rightarrow I' (1.5\times4, 1.5\times2)=I'(6,3)[/tex]
Hence, the coordinates of the image of I after a dilation by a factor of 1.5 centered at the origin =I’(6, 3)
Find three consecutive integers whose sum is 441
Answer:
146, 147 and 148
Step-by-step explanation:
Let the three integers be x, x+1, and x+2.
(they are consecutive)
Now, we are given that their sum is 441.
So,
(x) + (x+1) + (x+2) = 441
3x + 3 = 441
3x = 438
x = 438/3
x = 146
Thus, the integers are:
x = 146
x+1 = 147
x+2 = 148
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A baker has 5 1/4 pies in her shop. She cut the pies in prices that are each 1/8 of a whole pie. How many slices of pie does she have
5_1/4 = 21/4.
21/4 - 1/8
LCD = 8
(42 - 1)/8
41/8 remains.
lim (x^3-8)/(x)
x-2
AN ice cream factory makes 230 quarts of ie cream in 2 hours. how many quarts could be made in 12 hours?what was the rate per day
it makes 2760 per 12 hours
Please select the word from the list that best fits the definition
Understands how formulas are used
Interpersonal
Musical
Body-Kinesthetic
Spatial
Linguistic
Intrapersonal
Logical-Mathematical
Answer:
Logical-Mathematical
Step-by-step explanation:
According to the theory of multiple intelligences, human intelligence has 8 different modalities (musical-rhythmic, visual-spatial, verbal-linguistic, logical-mathematical, bodily-kinesthetic, interpersonal, intrapersonal, naturalistic). In order to understand how formulas are used, logical-mathematical intelligence is used.
The term that corresponds to understanding how formulas are used is Logical-Mathematical. This refers to an individual's proficiency in carrying out mathematical operations and understanding complex mathematical problems, including the use of formulas.
Explanation:The word from the list that best fits the definition 'Understands how formulas are used' is Logical-Mathematical. This term is one of Howard Gardner's Multiple Intelligences and it refers to the ability to calculate, quantify, consider propositions and hypotheses, and carry out complete mathematical operations. In an educational setting, people who are strong in logical-mathematical intelligence can understand complex problems, detect patterns, and excel in mathematics, with skills such as understanding formulas playing a key role.
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Sam makes enough muffins to give 8 of her
friends 3 muffins each. Each tray holds 6
muffins. How many trays does she need?
Sam needs [tex]4[/tex] trays.
Given:
The number of friends is [tex]8[/tex].
Muffins required for each friend are [tex]3[/tex].
The capacity of each tray is [tex]6[/tex] muffins.
To find:
The required number of trays.
Explanation:
Let [tex]x[/tex] be the required number of trays.
Total quantity of muffins in [tex]x[/tex] trays is [tex]6x[/tex].
Total quantity of required muffins is:
[tex]8\times 3=24[/tex]
Now,
[tex]6x=24[/tex]
[tex]x=\dfrac{24}{6}[/tex]
[tex]x=4[/tex]
Therefore, Sam needs [tex]4[/tex] trays.
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