Answer:
30
Step-by-step explanation:
Given that
Logan shelves 5 books and
Nathan shelves 6 books
They end shelving the same number of books.
To find:
Smallest number of books each could have shelved?
Solution:
First of all, let us have a look at the definition of Least Common Multiple(LCM) of two numbers.
Least Common Multiple (LCM) of two numbers is the minimum number which is divisible by both the numbers.
Now, looking at the statement of the given question.
We have to find the LCM of both the numbers actually.
Making factors of the numbers:
[tex]5=5\times 1[/tex]
[tex]6=2\times 3[/tex]
Nothing is common here, therefore the LCM is [tex]5\times 6 =\bold{30}[/tex].
Smallest number of books shelved = 30
Given f(x) = 2x^2 - 7x+3
Find:
1. f(0)
2. f(-2)
Step-by-step explanation:
f(x) = 2x^2 - 7x + 3
f(0) = 2(0)^2 - 7(0) + 3
= 0 + 0 + 3
= 3
f(x) = 2x^2 - 7x + 3
f(-2) = 2(-2)^2 - 7(-2) + 3
= 8 + 14 + 3
= 25
PLEASE ANSWER
You win a prize and are offered two choices:
Choice A: $0.10 on January 1, $0.20 on January 2, $0.40 on January 3, $0.80 on January 4, doubling the amount each day, or Choice B: $5.00 on the first day, $10.00 on the second day, $15.00 on the third day, getting $5.00 more each day. Make a table of amounts earned each day. After which day will you be earning more in Choice A?
Answer:
choice b
Step-by-step explanation:
Answer: After the 10th day choice A will be ahead. Choice A will be at 51.2, and choice B will be at 50
Step-by-step explanation:
Day 1: $.10 / $5
Day 2:$.20 / $10
Day 3:$.40 / $15
Day 4:$.80 / $20
Day 5:$1.6 / $25
Day 6:$3.2 / $30
Day 7:$6.4 / $35
Day 8:$12.8 / $40
Day 9:$25.6 / $45
Day 10:$51.2 / $50
Solve: 72x + 436= -96x + 1108 X=?
72x + 436= -96x + 1108x
72x+436=1012x
436=1012x−72x
436=940x
436/940=x
109/235=x
x=109/235
Hope this helps have a blessed and wonderful day!
Answer:
x=4
Step-by-step explanation:
72x+436=-96x+1108
or,72x+96x=1108-436
or,168x=672
x=672/168
x=4
22.204 divided by 5,2
Answer: 4.27
Step-by-step explanation: I used a calculator.
All triangle have three angles
whose sum is exactly 180°.
Determine if the statement is
possible (p) or impossible (i).
A triangle with the angles: 88°, 16°
and 65º.
Explain your answer
Can someone help me please I will give you five out of five stars
Answer:
(4,5)
Step-by-step explanation:
Answer:
(4, 5) because you have to move the coordinate y (2) up 3 times.
The sum of w and fourteen is five. What is the value of w?
Group of answer choices
19
11
-9
-19
Answer:
-9
Step-by-step explanation:
Solve.
x + 20 ≤ -10
A) x ≤ 10
B) x ≥ 10
C) x ≤ -10
D) x ≤ -30
Answer:
D
Step-by-step explanation:
The solution is, the value of x is, D) x ≤ -30.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
given that,
x + 20 ≤ -10
now, we have to solve this,
at first we subtract 20 from both sides, we get,
x + 20 - 20 ≤ -10 -20
or, x ≤ -30
Hence, The solution is, the value of x is, D) x ≤ -30.
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Order from least to greatest 4/7,5/8,0.7,72%
Answer:
[tex]\huge\boxed{\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%}[/tex]
Step-by-step explanation:
Two ways.
1. Convert to the decimal:
[tex]\dfrac{4}{7}=4:7=0.\overline{571428}\\\\\dfrac{5}{8}=5:8=0.625\\\\0.7=0.7\\\\72\%=\dfrac{72}{100}=0.72[/tex]
therefore
[tex]0.\overline{571428}<0.625<0.7<0.72}[/tex]
[tex]\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%[/tex]
2. Convert to the fractions with common denominator.
[tex]\dfrac{4}{7};\ \dfrac{5}{8}\\\\0.7=\dfrac{7}{10}\\\\72\%=\dfrac{72}{100}=\dfrac{18}{25}[/tex]
[tex]LCD=7\cdot8\cdot5\cdot5=1400\\\\\dfrac{4}{7}=\dfrac{4\cdot200}{7\cdot200}=\dfrac{800}{1400}\\\\\dfrac{5}{8}=\dfrac{5\cdot175}{8\cdot175}=\dfrac{875}{1400}\\\\0.7=\dfrac{7}{10}=\dfrac{7\cdot140}{10\cdot140}=\dfrac{980}{1400}\\\\72\%=\dfrac{72}{100}=\dfrac{72\cdot14}{100\cdot14}=\dfrac{1008}{1400}\\\\\dfrac{800}{1400}<\dfrac{875}{1400}<\dfrac{980}{1400}<\dfrac{1008}{1400}[/tex]
therefore
[tex]\dfrac{4}{7};\ \dfrac{5}{8};\ 0.7;\ 72\%[/tex]
5/6 divided by 1/7 this is dividing fractions
Answer:
35/6
Step-by-step explanation:
The result of dividing 5/6 by 1/7 is 35/6.
Here, we have,
To divide fractions, we can use the following rule:
To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.
In this case, we have:
(5/6) ÷ (1/7)
To find the reciprocal of a fraction, we simply flip the fraction by swapping the numerator and denominator.
Therefore, the reciprocal of 1/7 is 7/1.
Now, we can rewrite the expression as a multiplication:
(5/6) * (7/1)
Multiplying the numerators and denominators:
(5 * 7) / (6 * 1)
Simplifying:
35/6
Therefore, the result of dividing 5/6 by 1/7 is 35/6.
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The tip of a pendulum at rest sits at point B. During an experiment, a physics student sets the pendulum in motion. The tip of the pendulum swings back and forth along part of a circular path from point A to point C. During each swing the tip passes through point B. Identify all the angles in the diagram.
Answer:
Step-by-step explanation:
angle AOB, angle COB, angle AOC
(hope this helps because I’m taking a test right now)
What is the solution?
4b + 6 = 2 – b + 4
Sarah bought 3 pairs of joggers and a pair of tennis shoes. The tennis shoes cost $105. The total cost of her purchase was $180.
Write and solve an equation to find the cost of each pair of the joggers.
GIVE ME BRAINLIEST PLEASEEEEEEE
Answer:
$25.00
Step-by-step explanation:
180.00-105.00=75
75.OO DIVIDED 3= $25.00
What is the slope of the line that passes through the points (-2, 1) and (5, 7)?
Answer:
The slope is 6/7
Step-by-step explanation:
The slope is equal to (y₂ - y₁)/(x₂ - x₁)
Point 1 is (-2,1)
Point 2 is (5,7)
((7) - (1))/((5) - (-2))
(7 - 1)/(5 + 2)
6/7
The slope is 6/7
Explain how increasing and decreasing intervals work and provide an example.
Answer:
increasing on a interval
Step-by-step explanation:
as function(x) is increasing, function(y) is decreasing the graph goes downhill.
how did you know that the values of the variable really satisfy the equation?
Answer:
you substitute the variable with its value and the equation makes sense
Step-by-step explanation:
3+y=8
subtract 3 from both sides and you get
y=5
so, if y=5 then 3+y=8 is the same as saying 3+5=8 which is correct
Use the conditional statement, "If it is January, then there is snow." What is the hypothesis
Answer:
It snows in January
Step-by-step explanation:
Answer: The hypothesis is that if it is a certain month, it will probably snow. January being the factor that won't be changed because it is the specific month. But the hypothesis is that because it's January, it must snow.
Step-by-step explanation:
Determine the relationship
A. Parallel because the slopes are the same
B. Perpendicular because the slopes are opposite reciprocals
C. Oblique because the slopes are different
Answer:
Oblique Because the slopes are different
Step-by-step explanation:
Answer:
i belive it oblique . Not sure tho but good luck !!
Step-by-step explanation:
Problem Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes
Answer:
That their milkshakes need more caramel or less ice cream.
Step-by-step explanation:
We can see that Ari's numbers for a perfect milkshake gives us a caramel to ice cream ratio of 333 / 555 = 0,6.
But the Freeze Zone uses a caramel to ice cream ratio of 666 / 888 which is equal to 0,75.
Their milkshakes have less caramel and more ice cream than Ari's perfect milkshake so Ari will think that Freeze Zone's milkshakes are not sweet enough.
I hope this answer helps.
A model of a lighthouse is 2 inches wide at its base and 6 inches tall. If the actual lighthouse is 30 feet wide, what is the approximate height of the lighthouse 10 ft
60 ft
180 ft
90 ft
Answer:
D
Step-by-step explanation:
just multiply 6 time 90 which gives you 180
Step-by-step explanation:
multiply 6 time 90 which gives you 180
If Luna spends 1/3 of her time doing Math homework, how many minutes would she spend doing Math homework if she spent 240 minutes a week doing homework?
Answer: the answer is 80
41.2 x 1.5. Then explain where the decimal point should go and why
Answer:
This is really simple, here i'll explain:
Step-by-step explanation:
41.2 x 1.5=
count how many spaces are after the decimal point.
for example, 41.2 has 1 space after the decimal point. The decimal 1.5 also has 1 space after the decimal point. So if you add the spaces it would be 2 because 1 + 1 = 2
After that, take away the decimal point, and just multiply like you normally would.
412 times 15
this would be 6180
after you do the multiplication, you will add the decimal point.
The decimal point will go in between 1 and 8 because there were 2 spaces after the decimal point in the numbers, and if you add them it would be 2 spaces.
Hope this helps!
Answer:
41.2×1.5=61.8. because you always have to line up the decimals.
the height of the water in a tank when drained at the rate of 0.3 gallon per minute
is it linear or nonlinear?
Answer:
c
Step-by-step explanation:
Michele is purchasing new clothes for soccer practice for the upcoming season. She buys s pairs of shorts at $14.98 each. She also buys 5 shirts to go with each pair of shorts, and she buys 3 additional shirts. Each shirt costs $11.50.
Complete the statement below to write an expression for the amount Michele spends on her soccer practice clothes. Let s represent the number of shorts.
Simplify your expression completely before writing it in the spaces below.
Answer:
s14.98 + 92
Step-by-step explanation:
In order to make an expression for this word problem, all you have to do is follow along the steps in the problem:
s14.98 represents how many shorts Michele bought and how much they cost
8 * 11.50 represents how many shirts she bought and what they cost, but we need to simplify, so
8 * 11.50 = 92
Therefore, by adding the shorts and shirt together, we get the expression:
s14.98 + 92
Hope this helps :)
3-6a=9-6a
Someone please help me solve this two step equation.
Answer:
3-6= negative 3 9-6= 3
Step-by-step explanation:
One negative one positive
Hope it helped
Answer:
[tex]\boxed {a = 6}[/tex]
Step-by-step explanation:
Solve for the value of [tex]a[/tex]:
[tex]3 - 6a = 9 - 6a[/tex]
-Take [tex]-6a[/tex] and add it to [tex]-6a[/tex]:
[tex]3 - 6a + 6a = 9 - 6a + 6a[/tex]
[tex]3 - a = 9[/tex]
-Subtract both sides by [tex]3[/tex]:
[tex]3 - 3 - a = 9 - 3[/tex]
[tex]\boxed {a = 6}[/tex]
Therefore, the value of [tex]a[/tex] is [tex]6[/tex].
Question 2: ___ of 5 points)
2. Use the equation y = -2x to answer the questions.
(a) Graph y = -2x.
(b) What is the slope of y = -2x and what does this mean? Complete sentences.
You must complete all parts to receive full credit.
Answer:
Slope is - 2 because The slope-intercept form is y=mx+b where m is the slope value. In the equation y=-2x , the m value is - 2 .
Write an equation of a line in slope-intercept form. Slope = -2, y-intercept = 34
Answer:
y=-2x+34
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
Which could be the first step in simplifying this expression? Check all that apply. (x^3x^-6)^2
□(x^-18)^2
□(x^-3)^2
□(x^-2)^2
□x^5x^-4
□x^6x^-12
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Indices and BODMASS rule,
according to the BODMASS rule, we must always give high priority to the, parentheses "()" ,hence we will solve the bracket index powers first,
this we get as
[tex] ({x}^{3} . {x}^{ - 6}) ^{2} = > ( {x}^{3 - 6} )^{2} = = > ( {x}^{ - 3})^{2} [/tex]
hence, the above option is 2.) is correct.
please helpppppppppp
Answer:
Incorrect
Step-by-step explanation:
The fraction of 6/12 all squared gives 36/144 36/36 and 144/36 reduces to 1/4.
Two rental car companies are running specials this month. At Johnson's Rentals, customers will pay $50 to rent a mid-sized car for the first day, plus $2 for each additional day (x). At Martinez Rent-a-Car, the price for a mid-sized car is $30 for the first day and $4 for each additional day (x). How many additional days (x) would it cost the same to rent from either company? What is that cost?
Answer:
If we rent the same car from both companies it would take 8 days
Step-by-step explanation:
Johnson's 50+2x
Martinez 30+4x
a) [tex]10[/tex] additional days are required for both to cost the same.
b) The cost is [tex]70[/tex]$.
At Johan's Rental:
Rent[tex]=(50+2x)[/tex]$
At Martinez Rent:
Rent[tex]=(30+4x)[/tex]$
For both the cost same
[tex]50+2x=30+4x[/tex]
[tex]2x-4x=30-50[/tex]
[tex]-2x=-20[/tex]
[tex]x=10[/tex]
[tex]\therefore[/tex] [tex]10[/tex] additional days are required for both to cost the same.
Cost[tex]=(50+2x)[/tex]
[tex]=50+2\times 10[/tex]
[tex]=50+20[/tex]
[tex]=70[/tex]
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