9514 1404 393
Answer:
56th batch
Step-by-step explanation:
The least common multiple of 8 and 28 is 8·7 = 56. Tom and Larry will both test the 56th batch.
__
There are a couple of ways to find the least common multiple (LCM) of a pair of numbers.
1. Factor them and use the highest power of the unique factors.
8 = 2³
28 = 2²×7
Unique factors are 2 and 7. Their highest powers are 3 and 1, so the LCM is ...
(2³)(7) = 56
__
2. Divide the product by the greatest common divisor (GCD). Here, both numbers are divisible by 4:
8 = 4·2
28 = 4·7
So, the LCM is 8×28/4 = 56.
Answer:
Step-by-step explanation:
8=2x2x2
28=2x2x7
lcm of 8,28= 56
11. There are 600 students in a school. If 20% students are girls, find the number of girls.
Answer:
120
Step-by-step explanation:
20% of 600
= 120 girls
Explanation
Total no. of students = 600%
20% of the total are girls
No. of girls = 20% of 600
20/100 × 600⅕ × 600 120No. of girls is 120
which expression is equal to 72 +63 ?
a. 9(8+7)
b. 8(9+7
c. 7 (10+9)
d. 6 (12+10)
Answer:
Your answer is option a.
Answer:
a. 9(8+7)
Step-by-step explanation:
If you distribute the 9 into the equation, You're basically multiplying the 9 by each term so it really becomes:
(9*8) + (9*7)
Which leaves you with:
72 + 63
4. A sequence is represented below.
{3, 4.5, 6.75, 10.125, 15.1875, ...}
Which representation is a formula for the nth term of the sequence?
Answer:
Step-by-step explanation:
If you have choices please give then. I'm guessing at what the answer might be.
an = a_n-1 + 1/2 a_n-1
an = 3/2 a_n-1
Let's try it out.
take 3/2 of 6.75 Multiply by 3 first
(3 * 6.75 ) / 2
20.25 / 2
10.125 which is what happens.
Choose the equation of the the ellipse shown in the graph.
Answer: A
Hello,
Step-by-step explanation:
center =(-3,1)
a=2
b=7
[tex]\dfrac{(x+3)^2}{4} +\dfrac{(y-1)^2}{49} =1\\\\or\\\\49*(x+3)^2+4(y-1)^2=14^2\\\\Answer\ A\\[/tex]
If your car gets 34 miles per gallon, how much does it cost to drive 320 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
$31.96
Step-by-step explanation:
To find how many gallons you need, divide 320 by 34.
[tex]\frac{320}{34} =9.4 (rounded-to-the-nearest-cent)[/tex]
So now that we know we need 9.4 gallons, we multiply 9.4 times the price per gallon ($3.40)
9.4 x $3.40 = $31.96
Please help me on this homework assignment, 20 points to whoever can help me and give me a good answer. it is asking for the height and the bottom number under the 90 degree angle is 6.
Answer:
h = 3 sqrt(21)
or
h = 13.75
Step-by-step explanation:
The perimeter of the rhombus is 60 feet. Like a square, all the sides of a rhombus are equal. Therefore your first step is to find FK which is a side.
FK = 60/4 = 15 feet.
Now you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = height or = h
c = 15
6^2 + b^2 = 15^2
36 + b^2 = 225
b^2 = 225 - 36
b^2 = 189
sqrt(b^2)= sqrt(189)
b = sqrt(3 * 3 * 3 * 7) You can take out the square of 3 * 3 and make it 3.
b = 3 * sqrt(3*7)
b = 3 * sqrt(21)
Arrange the decimal numbers from largest to smallest.
Answer:
0.845, 0.839, 0.748, 0.712, 0.643
Answer:
0.845, 0.839,0.748,0.712,0.643
Mary had $305 in her bank account. She deposited $250.25 more and then withdrew $317.50
from her account. What is the balance now in her account?
Answer:
$237.75
Step-by-step explanation:
you add $305 & $250.25 together which is equal = $555.25,then subtract $317.50 from it = $237.75
Solve for x: x – 23 = 2
Answer:
X=25
Step-by-step explanation:
This is because X has to be greater than 23. Because you are taking away 35 and the answer is 2, you have to add 23 and 2, and that gives you 25!
A rectangle has a length of 29 yards less than 9 times it’s width. If the area of the rectangle is 9418 square yards, find the length of the rectangle
Answer:
Step-by-step explanation:
w = w
L = 9*w - 29
Area = L*w
area = 9418
w * (9w - 29) = 9418
9w^2 - 29w - 9418 = 0 This monster factors, believe it or not
(9w + 277)(w - 34) = 0
9w + 277 =0
9w = - 277
w = -30.777778
w - 34 = 0
w = 34
The length = 9w - 29
L = 9*34 - 29
L = 306 - 29
L = 277
Check
Area = L * w
Area = 277 * 34
Area = 9418 just as it should.
I look like this: __ . __ __
• My tenths digit is twice my hundredths digit.
•My ones digit is equal to the sum of my tenths and hundredths
digits.
• My hundredths digit is even and greater than zero.
What number am I?
Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them
Answer:
take a light bulb and a potato and some wires connect together will give light
Answer:
i have attached a pic of an idea that might help you
:)
what is the quotient of 81.5 ÷ 1.25?
Answer:
The answer is 65.2 because you divide 81.5 by 1.25
The government measures economic activity by calculating the
The Gross Domestic Product measures the value of economic activity within a country. Strictly defined, GDP is the sum of the market values, or prices, of all final goods and services produced in an economy during a period of time.
Hope this helps!
A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?
which situation results in -6 as a final value
Answer:
Example:
0 - 6 = -6
4 - 10 = -6
Your Gps shows that your friends house is 10.0 km away, as shown in the image below. but there is a big hill between your house and you dont want to bike the directly. You know your friends street is 6.0km north of your street. How far do you have to ride before turning north to get to your friends house?
Answer:
2.0km
Step-by-step explanation:
Select the FALSE statement about the correlation coefficient (r).
a. The value of the correlation coefficient lies between-1 and 1.
b. The sign of the correlation coefficient tells us if the pair of variables is positively or negatively associated.
c. The correlation coefficient r = 0 shows that two variables are strongly correlated.
d. The correlation coefficient quantifies the strength of the linear relationship between two variables.
Answer:
C.
Step-by-step explanation:
Scatterplots with weak correlation coefficients are values near zero
The false statement about the correlation coefficient is r = 0 shows that two variables are strongly correlated.
What is Correlation?A statistical metric known as correlation illustrates how closely two variables are connected and how they tend to move in tandem. When two variables are positively correlated, they move in the same direction, and when they are negatively correlated, they move in the opposite way. To determine the degree and direction of the association between two variables, a correlation coefficient is utilized.
A correlation coefficient of -1 indicates a perfect negative correlation, a correlation coefficient of 1 indicates a perfect positive correlation, and a correlation coefficient of 0 indicates no correlation between the two variables.
Given data ,
The FALSE statement is:
c. The correlation coefficient r = 0 shows that two variables are strongly correlated.
A correlation coefficient of 0 means that there is no linear relationship between the two variables. It does not indicate the strength of the relationship.
A value of r = 0 indicates that there is no association between the two variables, whereas a value of r = 1 or r = -1 indicates a perfect positive or negative association, respectively.
To learn more about correlation click :
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Please help. I don’t understand these
Answer:
A.7x
B.8x -1
C.6x+12
D 4+3x
E.13x-7
Which explanation uses the number line to show 5 + (-5) =0
Answer:
+5 is right and - 5 is left
Step-by-step explanation:
I. If 5 + (-5) = 0
then 5 - 5 = 0
If 5 is on the right side
then -5 is on the left side
Eric spends $30 to buy the
ingredients for 5 batches of trail mix. Find
the cost of the ingredients Eric needs for
one batch. How much would Eric need
for 2 batches
Simplify
12 - 6(2x + 7)
Answer:
-12x - 30
Step-by-step explanation:
12 - 6(2x + 7)
=> 12 - 12x - 42
=> -12x - 30
Answer:
6 (-5-2x)
Step-by-step explanation:
12-6(2x+7)
6(2-(2x+7)) factor the expression
6(2-2x-7) remove parentheses
6(5-2x) answer!
that's the question ??
Step-by-step explanation:
Before we answer, the area of a Circle given it radius is
[tex]a = \pi r {}^{2} [/tex]
The area of a circle given it diameter is
[tex]a = \pi( \frac{d}{2} ) {}^{2} [/tex]
So let answers question 1-4.
1. The area is
[tex]1024\pi[/tex]
2. The area is
[tex]576\pi[/tex]
3.
[tex]1.225\pi[/tex]
4.
[tex]309.76\pi[/tex]
For the 5th problem, circumference is
[tex]\pi \times d[/tex]
where d is the diameter and
[tex]2\pi r[/tex]
where r is the radius.
A circumference of 100 m means the radius is 50 because
[tex]2\pi \times r = 100\pi[/tex]
[tex]r = 50[/tex]
So this means the area is
[tex]2500 {\pi}[/tex]
Replace the asterisks in the number 72*3* so that the obtained numbers will be divisible by 45.
Answer:
72135
Step-by-step explanation:
72135 divided by 45 equals 1603 so it is divisible by 45.
Which of the following functions is even?
[tex]f(x) = -3x^2 + 4[/tex]
================================================
Explanation:
If all the exponents are even, then the polynomial function is even.
Choice A has a mix of even and odd exponents here, so choice A is neither even nor odd. We can rule this out.Choice B is the same story as choice A. So we can rule that out as well.Choice C has all of its exponents even. Therefore function C is an even function, and it's the final answer.Choice D is the same story as choice A. The only difference is the leading coefficient is positive.!Can SOME1 Help! Help FAST
A gym membership has an enrollment fee of $25 and costs $33 each month. Which expression represents the cost of the gym membership for m months?
A. 25+33m=c
B. 25+33m
C. 33+25m=c
D. 33+25m
Answer:
A. 25+33m=c
Step-by-step explanation:
Because gym membership for m month will cost the enrollment fee along with the monthly fee multiplied by the number of months (m).
So, the expression will be:
25 + 33m = c
is statistics mathematics or science? defend your answer.
Answer:
There are few kind of statistics: first of all - Mathematiсal statistics. This is quite a mathematical science.
Its applications widely used in many branches of science. First of all (for me) in measurement theory. When used correctly, there is no objection to this science and its methods.
The use in the so-called "social sciences", primarily in sociology, raises many questions: first and foremost - how representative is the "sample"? To what extent does the question asked by the respondent dictate the “correct” (expected) answer? And so on. Of course, this is not a statistic, but mostly a science-like hype, covering up the absence of objective methods.
Hope this helps <3
Write the decimal as a fraction .014
Answer:
14/100
Step-by-step explanation:
Hopefully this helps you
pls mark brainlest
The total cost of a desk and a stool is $86.50.
The stool costs $25.50 less than the desk.
How much does the stool cost?
Answer:
$30
Step-by-step explanation:
d + s= 86.50----------1
d - 25.50 = s
d - s=25.50------------2
1 - 2
(d-d) +(s-(-s))=86.50-25.50
2s=60
s=60/2=$30
The cost of a stool is $30.5 if the total cost of a desk and a stool is $86.50 and the stool costs $25.50 less than the desk.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The total cost of a desk and a stool is $86.50.
The stool costs $25.50 less than the desk.
Let the cost of the desk is $d
Let the cost of the stool is $s
d + s = 86.50
s = d - 25.50
The above two equations represent two linear equations in two variables.
By solving by substitution method:
Plug s = d - 25.50 in the first equation
d + d - 25.50 = 86.50
2d = 86.50 + 25.50
2d = 112
d = 112/2
d = $56
s = 86.50 - 56
s = $30.5
Thus, the cost of a stool is $30.5 if the total cost of a desk and a stool is $86.50 and the stool costs $25.50 less than the desk.
Learn more about the linear equation here:
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Given the function: f(x)=−(x−3)2+3. Describe the transformations in the order in which they occur.
Answer:
First, reflection over the x- axis, then a horizontal translation 3 units to the right and 3 units up.
Step-by-step explanation:
Order does not matter. The - before the (x-3) makes a reflection over the x-axis. Then, the -3 in the (x-3) makes the graph translate 3 units to the right, and the +3 is 3 units up.