Answer:
Step-by-step explanation:
So first what you need to do is try subtracting 40 and 20 then multiplying 40
Write each rational number as a decimal. Then tell whether each decimal is a terminating or a repeating decimal. 4
__
12
Answer: 4/12 is 0.3333333333333333 so it would be repeating decimal
Step-by-step explanation: divide 4 by 12 and get 0.333
Colin Katz works at his father's restaurant eight hours a day, earning $10.75 an hour. He is asked to work
two additional hours at time and a half to help prepare for a banquet. How much will he earn for these two
hours of overtime?
The offered overtime hourly rate is 1.5 times the given hourly rate.
Correct Response;The amount he will earn for the two hours overtime is $32.25Methods by which the above value is calculated;The amount Colin Katz earns per hour = $10.75
The number of additional hours Colin Katz is asked to work = 2 hours
Rate at which the additional hours will be paid = Hourly rate and half = 1.5 hourly rate
Required:The amount he will earn for the additional hours.
Solution:The hourly rate for the additional hours = 1.5 × $10.75 = $16.125
Amount Colin Katz earns working 2 additional hours = 2 × $16.125 = $32.25
The amount he will earn for the two hours overtime = $32.25
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f+13/4=4 solve for f
Answer:
f= .75 or 3/4
Step-by-step explanation:
13/4 = 3 1/4 or 3.25
4-3.25= .75
Or
3/4
Answer:
f = 3/4
Step-by-step explanation:
f+(13/4)= 4
subtract (13/4) from both sides
⇒f + (13/4)- (13/4) = 4 -(13/4)
⇒f =(16-13) /4
∴f = 3/4
If it is known that a+b/a−b =c, find the following:
3a+3b/2a−2b
Answer:
[tex]\frac{3}{2}[/tex] c
Step-by-step explanation:
Given
[tex]\frac{3a+3b}{2a-2b}[/tex] ← factor numerator and denominator
= [tex]\frac{3(a+b)}{2(a-b)}[/tex]
= [tex]\frac{3}{2}[/tex] × [tex]\frac{a+b}{a-b}[/tex] ← this = c
= [tex]\frac{3}{2}[/tex] × c = [tex]\frac{3}{2}[/tex] c
How do I answer this question I don’t understand it
Answer:
4. Tell your interviewer what you do know.
If you do have some knowledge of the question, then take the time to tell your interviewer what you do know of the situation. Saying everything out loud can start you on the process of figuring out the problem.
Step-by-step explanation:
Answer:
[tex] u = -\dfrac{vx}{w} [/tex]
Step-by-step explanation:
You are allowed to multiply and divide both sides of an equation by the same non-zero number or non-zero variable. Do the appropriate operations to isolate the u.
[tex] x = -\dfrac{1}{v}uw [/tex]
We are solving for u, so first, switch sides.
[tex] -\dfrac{1}{v}uw = x [/tex]
Multiply both sides by v.
[tex] -\dfrac{1}{v}uw \times v = x \times v [/tex]
[tex] -uw = x \times v [/tex]
Divide both sides by -w.
[tex] \dfrac{-uw}{-w} = \dfrac{xv}{-w} [/tex]
[tex] u = -\dfrac{vx}{w} [/tex]
When solving p^2 + 5 = 8p - 7. Kate wrote p^2 + 12 = 8p. The property she used was:
1) the associative property
2) the commutative property
3) the distributive property
4) the addition property of equality
Answer:
4)
Step-by-step explanation:
Because they just added the same equality. And when you move the -7 over the equal sign it makes it positive so it would be p^2 + 5 + 7 = 8p and that makes it p^2 + 12 = 8p
The property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.
Given to us
When solving p^2 + 5 = 8p - 7.
Kate wrote p^2 + 12 = 8p.
What property is used by Kate?As we can see Kate has simply added the number one, therefore, she had used the addition property of equality.
[tex]p^2 + 5 = 8p - 7\\\\p^2+5+7=8p\\\\p^2 + 12=8p[/tex]
Hence, the property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.
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What Is
-(v-1)=-6v+16
Answer:
[tex]v = 3[/tex]
Step-by-step explanation:
-(v-1)=-6v+16
-v+1=-6v+16
grouping like terms
-v+6v=16-1
5v=15
dividing through by 5
[tex] \frac{5v}{5} = \frac{15}{5} [/tex]
[tex]v = \frac{15}{5} [/tex]
[tex]v = 3[/tex]
how do you find the median
Answer:
Step-by-step explanation:
You first rearrangel all of numbers from least to greatest, then you cross out the smallest and bigest number untill you meet in the middle. If you there two numbers in the middle then you find the average of those numbers.
help please!(picture)
Answer:
7a - 2
Step-by-step explanation:
A perimeter is just the sum of all sides added together, so just put all the expressions together into a big equation.
2a - 3 + 2a + 3a + 1
Combine like terms
7a - 2
Ronnie took a survey of eight of his classmates about the number of siblings they have and the number of pets they have. A table of his results is below.
# of Siblings 3 1 0 2 4 1 5 3
# of Pets 4 3 7 4 6 2 8 3
Which of the following does Ronnie's data represent?
A.
neither a relation nor a function
B.
a function only
C.
both a function and a relation
D.
a relation only
Answer:
D.a relation only
Step-by-step explanation:
Relation: It is mapping between two non empty set A and B.
In relation any input value can have two or more than two output values.
Function: It is that relation in which every input value has only one output .
All function are relations but all relations are not function.
In given data
Image of 3 =4
Image of 3=3
By definition of function
It is not a function.
By definition of relation
It is a relation.
Hence, option D is true.
Answer: D
RELATION ONLY//PLATO//EDMENTUM
Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases from 0.3 inches to 1.2 inches.
To calculate the change in volume of a box when cutout length increases from 0.3 inches to 1.2 inches using function notation, use the formula ΔV=f(l2)-f(l1), where f(l) represents the volume of the box given the length of the edge.
Explanation:The change in volume when the cutout length increases from 0.3 inches to 1.2 inches can be represented in function notation as ΔV=f(l2)-f(l1), where f(l) represents the volume of the box as a function of the length (l) of the edge. Here, l1=0.3 and l2=1.2.
Given the formula for the volume of the box V = Length x Width x Height. Let's assume Width and Height remain constant. If initially the volume was V1=f(l1) and finally it became V2=f(l2), the change in volume will be ΔV=V2-V1 which equals f(l2)-f(l1).
For example, if the width and height of the box are 6 inches and 3 inches respectively, then the initial volume is V1 = 0.3 x 6 x 3 cubic inches and the final volume is V2 = 1.2 x 6 x 3 cubic inches. Therefore, ΔV = (1.2 x 6 x 3) - (0.3 x 6 x 3) cubic inches.
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The change in the volume of the box when the cutout length increases from 0.3 inches to 1.2 inches can be calculated using the function ΔV = V(1.2) - V(0.3). Assuming the rest of the box's dimensions are constant, this results in a change in volume of 16.2 cubic inches.
To use function notation to represent how the volume of the box changes by if the cutout length increases from 0.3 inches to 1.2 inches, let us first define a function V(l) that represents the volume of the box as a function of the cutout length 'l'. If the initial cutout length is 0.3 inches and the final cutout is 1.2 inches, the change in length Δl would be 1.2 inches - 0.3 inches = 0.9 inches. We can express the change in volume, ΔV, as the function of the change in cutout length as follows: ΔV = V(1.2) - V(0.3).
Given that the volume of a rectangular box can be calculated by the formula volume = length × width × height, and assuming other dimensions of the box do not change, the function V(l) becomes:
V(l) = length × width × l
Let's consider an example where the dimensions of the box remain constant at 6 inches by 3 inches. The volume function would then be:
V(l) = 6 in. × 3 in. × l in.
The change in volume for an increase in cutout from 0.3 to 1.2 inches is then:
ΔV = V(1.2) - V(0.3) = (6 × 3 × 1.2) - (6 × 3 × 0.3) = 21.6 in.³ - 5.4 in.³ = 16.2 in.³.
Lauren had $57 in her account and made $10 per
hour babysitting. How much will she have in all if
she babysits for 4 hours?
97
10 times 4 is 40 40 plus 57 is 97
Answer: 97
Step-by-step explanation:
1. Take your $10 and multiply it by the four hours she babysits. --> 10•4=40
2. Take the answer you just received from the multiplication problem, 40, and add it by the amount of money she had in her account, $57. -->40+57=97
I hope this helps you!
A box measures 3 1/2 ft by 1 1/3 ft by 2/14 ft what is the volume
Answer: 2/3^3
Step-by-step explanation:
To find the volume of a box, you use the formula, Lenth*Width*Height=Volume
The Lenth is 3 1/2. The width is 1 1/3 and the height is 2/14
Plug the values in formula
3 1/2*1 1/3*2/14
Covert the mixed numbers into imporper fractions so it is easier to solve
3 1/2=7/2
1 1/3=4/3
7/2*4/3*2/14
Reduce 2/14
2/14=1/7
7/2*4/3*1/7=7*4*1/(2*3*7)=28/42
Reduce 28/42=14/21=2/3
2/3 ft^3
-2.4 divided by 5 1/3
Answer:
[tex]-0.45[/tex]
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors. you'll get your answer as [tex]-\frac{9}{20}=-0.45[/tex]
What is the justification for the step taken from line 2 to line 3? 5 lines of math. The first line has, 3 x plus 9 minus 7 x equals x plus 10 plus x. The second line has, negative 4 x plus 9 equals 2 x plus 10. An arrow pointing from the front of the second line to the front of the third line. The third line has, negative 6 x plus 9 equals 10. The fourth line has, negative 6 x equals 1. The last line has x equals negative StartFraction 1 Over 6 EndFraction. the subtraction property of equality the multiplication property of equality combining like terms on one side of the equation the distributive property
Answer:
The subtraction property of equality
Step-by-step explanation:
it just is
The justification for the step taken from line 2 to line 3 is the subtraction property of equality
What are equations?Equations are expressions that have equal values when compared using the "=" sign
The equation on line 2 is given as:
[tex]-4x + 9 = 2x + 10[/tex]
The equation on line 3 is given as:
[tex]-6x + 9 = 10[/tex]
2x is subtracted from both sides of the equation in step 2 to get the equation in step 3
Hence, the justification for the step taken from line 2 to line 3 is the subtraction property of equality
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What is the solution to this equation
x-4=17
Answer:
21
Step-by-step explanation:
x-4=17
x=17+4
x=21
that's the solution
PLEASE HELP ASAP: Sals sandwich shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of 1470 from lunch special last month, where x is the number of sandwich lunch specials sold y is the number of wrap lunch specials sold. 4. Graph the function using one of the following two options below. On the graph, make sure to label the intercepts.
Answer:
y intercept (0,490)
I would use (Graphing equation standard form) to identify x and y intercepts. I will Plot the y intercept (0,490) and the x intercept (735,0)
,It will Connect the two intercepts with a straight line
2x + 3y = 1,470
3y = -2x + 1470
y = (-2x + 1470 ) / 3
y = -2/3 * x + 1470/3
y = -2/3 * x + 490
slope is -2/3
y intercept is 490
x intercept (735,0)
Step-by-step explanation:
Answer:
[tex]2x+3y=1470[/tex]
Step-by-step explanation:
Givens
The profit on every sandwich is $2.The profit on every wrap is $3.Sal made $1470 in profits.So, [tex]x[/tex] represents the number of sandwiches and [tex]y[/tex] represents the number of wraps, so the profit on each food is
[tex]2x[/tex] and [tex]3y[/tex], so the sum of them must be equal to $1470, as follows
[tex]2x+3y=1470[/tex]
Which is a linear equation, that means if we graph, it would be a line.
To graph this, we just need to find two points.
For [tex]x=0[/tex], let's find [tex]y[/tex]
[tex]2x+3y=1470\\2(0)+3y=1470\\y=\frac{1470}{3}=490[/tex]
For [tex]y=0[/tex]. let's find [tex]x[/tex]
[tex]2x+3y=1470\\2x+3(0)=1470\\x=\frac{1470}{2}=735[/tex]
Therefore, the two points to graph the line are [tex](0,490)[/tex] and [tex](735, 0)[/tex]. Now, we graph these coordinates and draw a line that must cross them
The resulting graph should be like the image attached.
Caroles age 8 years ago was 5 times carls age five years ago caroles age was 3 times carls age. How old is each now?
Answer:
(1) a+-+8+=+5%2A%28b+-+8%29
(1) a+-+8+=+5b+-+40
(1) 5b+-+a+=+32
and
(2) a+-+5+=+3%2A%28b+-+5%29
(2) a+-+5+=+3b+-+15
(2) 3b+-+a+=+10
Subtract (2) from (1)
(3) 2b+=+22
(3) b+=+11
Substitute this back in (1) or (2)
(1) 5%2A11+-+a+=+32
(1) a+=+55+-+32
(1) a+=+23
Carole is 23 and Carl is 11
Step-by-step explanation:
On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at (2, negative 2), point C is at (negative 4, negative 1), and point D is at (negative 3, 5). What is the perimeter of square ABCD? StartRoot 37 EndRoot units 4 StartRoot 37 EndRoot units 28 units 37 units
Answer:
4[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Since the figure is a square, find the length of 1 side and multiply by 4 for perimeter.
Calculate the length of AB using the distance formula.
AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(3, 4) and (x₂, y₂ ) = B(2, - 2)
AB = [tex]\sqrt{(2-3)^2+(-2-4)^2}[/tex]
= [tex]\sqrt{(-1)^2+(-6)^2}[/tex]
= [tex]\sqrt{1+36}[/tex]
= [tex]\sqrt{37}[/tex]
Hence
perimeter = 4AB = 4[tex]\sqrt{37}[/tex]
Answer:
4 root 37units
Step-by-step explanation:
gl on the exam
The expression 9b+21 factored using gcf
Expressions can be split into equivalent expressions by factoring them.
The expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]
The expression is given as:
[tex]\mathbf{9b + 21}[/tex]
Express each term as a product of 3 (the GCF)
[tex]\mathbf{9b + 21 = 3 \times 3b + 3 \times 7}[/tex]
Factor out 3
[tex]\mathbf{9b + 21 = 3 (3b + 7)}[/tex]
Hence, the expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]
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What’s 3/8×1/9 in the simplest form
Answer:
1/24
Step-by-step explanation:
First, multiply the two fractions together.
3/8 * 1/9
Multiply the numerators:
3*1=3
And the denominators:
8*9=72
So, the fraction ends up being 3/72.
I need simplify the fraction by dividing both the numerator and the denominator by 3:
3/3=1
72/3=24
Simplified fraction is 1/24.
Answer: [tex]\frac{1}{24}[/tex]
Step-by-step explanation: To multiply fractions, first multiply across the numerators and then multiply across the denominators.
[tex](\frac{3}{8}) (\frac{1}{9}) = \frac{3}{72}[/tex]
[tex]\frac{3}{72} = \frac{1}{24}[/tex]
Can someone explain to me what is n? I was very confused about this problem and my teacher didn’t review it in class! (Don’t mind the answer choice that appears on the document)
Answer:
n = 5
Step-by-step explanation:
5 * (n/5) = 5 / (n/5)
(5 * n) /5 = 5 * (5/n)
n = ( 5*5) / n
n = 25/n
n² = 25
n = 5
Roses are red
Violets are blue
u probably wont get this question right
but i trust u
question-
make 3/8 into a decimal
PLEASE SOLVE THIS FOR ME!!!
show your work please
let's bear in mind that we have two fractions whose denominators are 2 and 4, thus their LCD will be 4, now let's multiply both side by that LCD to do away with the fractions, but let's add some first.
[tex]\bf 2-\left( 4-\cfrac{1}{2}x \right)=6\left( \cfrac{1}{4}x-1 \right)\implies 2- 4-\cfrac{x}{2} =\cfrac{6x}{4}-6 \\\\\\ -2-\cfrac{x}{2} =\cfrac{6x}{4}-6\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( -2-\cfrac{x}{2} \right)=4\left( \cfrac{6x}{4}-6 \right)}\implies -8-2x=6x-24 \\\\\\ 16-2x=6x\implies 16=8x\implies \cfrac{16}{8}=x\implies 2=x[/tex]
Write the number with the lest value using the digit 1 through 9. Use each digit 1 through 9.use each digit only once. Please it do tomorrow I need help please
Answer:The number should be 123456789.
Step-by-step explanation:
The total digits should be 9 i.e. 1, 2, 3, 4,5, 6,7, 8, and 9.
The largest number should be at the unit place, the 2nd largest number should be at the tenth place, and the 3rd largest number should be at the 100th place, and so on.
So in this way, the 1 number should be written at the left-most position.
Therefore we can conclude that The number should be 123456789.
Lucas and Brianna read three books each last month. a.
b.
Which of the tables, if any, shows a proportional relationship?
Both Lucas and Brianna had specific reading goals they needed to accomplish. What different strategies did
each person employ in reaching those goals?
Answer:
Please read the answer to Parts A and B below.
Correct statement, question and data:
Lucas and Brianna read three books each last month. The table shows the number of pages in each book and the length of time it took to read the entire book.
Pages Lucas Read 208 156 234
Time (hours) 8 6 9
Pages Brianna Read 168 120 348
Time (hours) 6 4 12
a. How many observations can you make about any similarities or difference that exist between the reading rates of the two students.
b. Both Lucas and Brianna had specific reading goals they needed to accomplish. What different strategies did each person employ in reaching those goals?
Source:
Grade 7, Module 1 - Student material of New York State
Step-by-step explanation:
Part A.
We notice that Lucas read at a constant reading rate of 26 pages per hour and he read for a total of 23 hours. On the other hand, Brianna, does not follow a constant reading rate, she read the first book at a rate of 28 pages per hour, the second at a rate of 30 pages per hour and the third book at a rate of 29 pages per hour, adding up to 22 hours.
Part B.
Lucas followed at a constant rate of 26 pages per hour and Brianna was not constant but she reads faster than Lucas with an average rate of 29 pages per hour (636 pages in 22 hours).
Is this mapping a function or not a function? Explain.
Yes, because the x-value 6 has two y-values paired with it.
No, because the x-value 6 has two y-values paired with it.
Yes, because each x-value has only one value paired with it.
No, because each x-value has only one y-value paired with it.
Answer:
a relation in which for every input there is exactly one output (for every x there is just one y)
Step-by-step explanation:
since you didn't give what was supposed to be a mapping function or not thats the best i can do
Which equation can be used to find 40 percent of 25?
100x4 400
40x4 = 16
40x4
160
25x4 - 100
40-4 10
100-4 - 25
Answer:
Step-by-step explanation:
40%=0.4
0.4*25=10
To calculate 40 percent of 25, you use the equation 0.40 x 25. This equation multiplies the decimal form of 40 percent by the total, which in this case is 25, resulting in the value of the part that represents 40 percent.
To find 40 percent of 25, you can use the equation that incorporates the base value (25) and the percentage you want to find (40%). In this case, the equation you're looking for is 0.40 x 25, which will give you the answer for what is 40 percent of 25.
Percentages can be calculated by using the formula: 'part over total, times one hundred, equals percent'. For example, if you have 25 students and want to find out what 40% of that number is, you would calculate 40/100, which is 0.40, and multiply by 25. The equation 0.40 x 25 is thus used to solve for the desired percentage.
40pts! Completely factor this quadratic expression: 4x^2+12x-72
Answer:
=4(x−3)(x+6)
Step-by-step explanation:
4x^2+12x-72
=4(x−3)(x+6)
The factorized form of the equation 4x² + 12x - 72 is
A = 4 ( x + 6 ) ( x - 3 )
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 A = 4x² + 12x - 72
Now , the equation can be simplified by
A = 4 ( x² + 3x - 18 )
Now , on simplifying the equation , we get
A = 4 ( x² - 3x + 6x - 18 )
Now , on grouping the similar terms in the equation , we get
A = 4 ( x ( x - 3 ) + 6 ( x - 3 ) )
A = 4 ( x + 6 ) ( x - 3 )
So , the factorized form of the equation is
A = 4 ( x + 6 ) ( x - 3 )
Hence , The factorized form of the equation 4x² + 12x - 72 is
A = 4 ( x + 6 ) ( x - 3 )
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Slope (-4,-3) (8,-9)
Answer: -1/2
as in negative one over two
Step-by-step explanation: