Answer: 6
Step-by-step explanation:
Given, Jamie needs to ship 48 plates and 54 bowls to a store.
If she wants to ship the same number of items in each box such that plates and bowls are shipped separately. .
then the greatest number of items she can ship in each box = GCD (48,54)
[GCD = Greatest common divisor]
Prime factorization of both numbers:
48 = 2 x 2 x 2 x 2 x 3
54 = 2 x 3 x 3 x 3
GCD (48,54)= 2 x 3 = 6
Hence, the greatest number of items she can ship in each box =6
Answer:6
Step-by-step explanation:
So here's the problem writen down.
48 = 2 x 2 x 2 x 2 x 3
54 = 2 x 3 x 3 x 3
GCD (48,54)= 2 x 3 = 6
Question 1
Elena, Lin, and Noah all found the area of Triangle Q to be 14 square units but
reasoned about it differently, as shown in the diagrams. Explain at least one student's
way of thinking and why his or her answer is correct.
Q
Lin
Elena
Q
Noah
Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.
The reason is while computing the area is found to be 14 square units.
What is area of triangle?The area of Triangle = 1/2* base * height
given:
assumed area to be 14 square units
We will take the case of Elena
In figure the base = 7 units
height = 4 units
Area of triangle
=1/2*base*height
=1/2 * 7 * 4
=7*2
=14 square units
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Find MN.
2x - 16
X-9
Answer:
3
Step-by-step explanation:
LN = 11
x - 9 + 2x - 16 = LN add like terms
3x - 25 = 11
3x = 36
x = 12
MN = x - 9 therefore MN = 3
Under normal conditions, 1.5 feet of snow will melt into 2 inches of water. After a recent snowstorm, there were 4 feet of snow. How many inches of water will there be when the snow melts?
Answer:
The answer im pretty sure is 5.33 inches of water.
Step-by-step explanation:
(3 x 10) x 8 = x(10 x 8)
Answer:
Here you go
Step-by-step explanation:
(3 x 10) x 8 = x(10 x 8)
What you do the distributive property so multiply 3x10 and you get 30 and multiply by 8 you get 240 so one side is solved. Now multiply 10x8 you get 80 and remember to multiply the variable x so you get 80x=240 now divide 80 both sides and you will get 3 as your total answer
Answer:
3
Step-by-step explanation:
(3x10)=30
30x8=240
(10x8)=80
240/80=3
On a recent quiz, the class mean was 70 with a standard deviation of 2.1. Calculate the z-score (to 4 decimal places) for a person who received score of 76.
I will mark as BRANLIEST!!!
How would you begin to answer this question- solve for x if, 2x + 3x = 10. what’s the answer? Plz help me! I’m desperate
Answer:
You would begin to start this equation by combining like terms.
Step-by-step explanation:
To start you would first combine 2x + 3x and you get 5x. From there you would solve 5x=10. Now you would divide by 5 on both sides to get x=2.
simplify 5(x – 2) + 11
Answer:
1/5
Step-by-step explanation:
Step 1:
5x - 10 + 11
Step 2:
5x = 1
Answer:
x = 1/5
Hope This Helps :)
A refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollars and cents?
Be sure to use the correct place value.
Answer:
Sales tax=$31.53
The total price is: $557.03
Step-by-step explanation:
$525.50*0.06=$31.53
Find the volume of the solid shown or described. If necessary round to the nearest tenth. Find the volume of the figure below. Round to the nearest tenth. M
Answer:
C) 3057.6 cm³
Step-by-step explanation:
Rectangular prism: 20x11x9=1980
Cylinder: [tex]\pi[/tex]r²h = [tex]\pi[/tex]X7x7x7=1077.57
1980+1077.57=3057.57
Select the correct answer from each drop-down menu. Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S(x) = 250x + 500. The function E(x) = represents Ashton’s total expenses in x months. Ashton’s expenses for 3 years total $
Answer:
E(x) = 40x² + 2150x - 500E(36) = $128740Step-by-step explanation:
Earnings = A(x)Savings = S(x)Expenses = E(x)Savings = Earnings - Expenses ⇒ Expenses = Earnings - Savings
E(x) = A(x) - S(x)E(x) = 2400x + 40x² - (250x + 500) E(x) = 2400x + 40x² - 250x - 500 E(x) = 40x² + 2150x - 500E(3 years) = E(36 months)
E(36) = 40*36² + 2150*36 - 500= $128740Over the last 3 months, you deposited $600 each month into your business checking account. During that time, you
withdrew $1,208.23 to make purchases. What is the net change in your account balance?
O -$3.008.23
O $608.23
$591.77
O $1,808.23
$3.008.23
Intro
Done
Answer:
591.77
Step-by-step explanation:
we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77
In which number 2 worth one-tenth as much as it is in the number 378,215 A.439,592 B.657,423 C.872,551 D.939,264
Answer:
i would say b since its 1 placement lower
Step-by-step explanation:
Dimensional Analysis How many seconds old are you if your 16 yrs old? show work
Answer:
504,576,000
Step-by-step explanation:
16 years x 365 days x 24 hours x 60 minutes x 60 seconds = 504576000
At the PNE. On Friday night 2,950 people attended the monster truck show. On Saturday night, 3,159 people attended. In the stadium seats 4,000 people, how many empty seats were there for the two nights?
Please show how u get the answer!
Help fast
Answer:
1891 empty seats.
Step-by-step explanation:
for night 1: 4000- 3159= 841.
for night 2: 4000- 2950= 1050.
1050+841= 1891.
there were 1891 empty seats for the two nights.
Warehouse Club Membership If the annual fee for a warehouse club membership is $100 and the reward rate is 2% on club purchases for the year, then the linear equation y = 100 - 0.02x models the actual annual cost of the membership y, in dollars. Here x represents the annual amount of club purchases, also in dollars. (a) Determine the actual annual cost of the membership if club purchases for the year are $2400 (b) What amount of club purchases would reduce the actual annual cost of the mem bership to $50? ) How much would a member have to spend in annual club purchases to reduce the annual membership cost to $0?
Answer:
(a) $52
(b) $2500
(c) $5000
Step-by-step explanation:
(a) y = 100 - 0.02x
x = 2400
y = 100 - 0.02(2400)
y = 100 - 48
y = 52
$52
(b) 50 = 100 - 0.02x
-50 = -0.02x
x = 2500
$2500
(c) 0 = 100 - 0.02x
0.02x = 100
x = 5000
$5000
Story Problem
Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the
waiter a tip of 15% of the cost of the lunch, without tax. What is the total cost
of the lunch, including the tip, without tax?
Please helppppp!!!!!!!
Answer:
K 2
J 4
Step-by-step explanation:
Solved it as an equation 2 x+x=6
x= number of miles Katie drives
235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
The number of girls are 90 girls
The number of boys are 125 boys
The number of adults are 20 adults
There are 90 girls, 125 boys and 20 adults at the camp
Step-by-step explanation:
The total number of people is given as 235 people
The number of boys = 35 + The number of girls
The number of adults = The number of girls - 70
Let the total number of girls = G
Therefore, we have;
The number of boys = 35 + G
The number of adults = G - 70
The total number of persons = The number of boys + The number of adults + The number of girls
Therefore;
235 = The number of boys + The number of adults + The number of girls
Which gives;
235 = 35 + G + G - 70 + G = 3·G - 35
235 = 3·G - 35
3·G - 35 = 235
3·G = 235 + 35 = 270
G = 270/3 = 90
The number of girls = 90
The number of boys = 35 + The number of girls = 35 + 90 = 125
The number of boys = 125
The number of adults = The number of girls - 70 = 90 - 70 = 20
The number of adults = 20.
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
what is f(g(13)) ? A mapping diagram is shown.
Answer:
im about 90% sure its 32
Step-by-step explanation:
translate into words
To simplify an expression means to ensure there are no parentheses and no like
terms.
True
Or
False
Answer:
True, there you go! hope it helps! Please vote Brainliest!
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
To simplify an expression means to ensure there are no parentheses and no like terms.
Find the LCM of 30 and 22. LCM = ___a0
Answer:
The answer would be 330:)
Step-by-step explanation:
How to Find LCM by Listing Multiples :
List the multiples of each number until at least one of the multiples appears on all lists
Find the smallest number that is on all of the lists
This number is the LCM
RLY hope this helps:) If so, can I have brainliest?
Answer:
The LCM of 30 and 22 is 330
Step-by-step explanation:
22 x 15 = 330
30 x 11 = 330
Plz help 7th grade math
Round 491,778 to the nearest hundred
Answer:
491,800!
Step-by-step explanation:
Rounding 491,778 to the nearest hundred we get 491,800 as our answer.
Given,
491,778
We need to round 491,778 to the nearest hundred.
What is the place value of a given number?The different place value is given below:
Example: 468975
4 - hundred thousands
6 - ten thousands
8 - thousands
9 - hundreds
7 - tens
5 - ones
Which number 491,778 is in the hundred place value.
= The number 7 in 491,778 is in the hundred place value.
Round 491.778 to its nearest hundreds.
= 491,778
Since 7 is in the hundred place value we need to round 778 to its nearest hundred.
It is either 700 or 800.
Since 778 is greater than or equal to 750.
We will round it to 800.
491,800 is our answer.
Thus rounding 491,778 to the nearest hundred we get 491,800 as our answer.
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A physical therapy facility is building a new pool that is 60 feet long and 7 feet deep. They have ordered enough tile for a
140-foot-long border around the edge. How wide should the pool be to ensure that all tiles are used?
Answer:
The Pool should be 10 feet wider
Step-by-step explanation:
The rectangngle shaped pool will have 4 sides...
If the Pool is 60 feet long then 120 feet should be covered by Tiles.
so only Tiles of 20 feet are left...
Hence the border will be 10 on one side and 10 on the other side
The Pool should be 10 feet wider
The calculation is as follows:
The rectangle-shaped pool will have 4 sides
In the case when the Pool is 60 feet long then 120 feet should be covered by Tiles.
Thus, only Tiles of 20 feet are left...
Therefore,
Hence the border will be 10 on one side and 10 on the other side
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Suppose that you take 300 mg of an antibiotic every 6 hr. The half-life of the drug is 6 hr (the time it takes for half of the drug to be eliminated from your blood). Use infinite series to find the long-term (steady state) amount of antibiotic in your blood exactly.
Answer:
1200000
Step-by-step explanation:
Esun as ma
what is equalvent to neagative -8
I need help please it’s really hard and I don’t understand it
The line segment HI has length 3x - 5, and IJ has length x - 1.
We're told that HJ has length 7x - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7x - 27 = (3x - 5) + (x - 1)
Solve for x :
7x - 27 = (3x + x) + (-5 - 1)
7x - 27 = 4x - 6
7x - 4x = 27 - 6
3x = 21
x = 21/3
x = 7
The endpoints of RS are R(−4,3) and S(16,18). Complete each statement using a fraction.
a. (8,12) is the point ___ of the way from R to S.
b. (0,6) is the point ___ of the way from R to S.
Answer:
a) (8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S, b) (0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.
Step-by-step explanation:
Let be [tex]X[/tex] a point in the line between endpoints [tex]R[/tex] and [tex]S[/tex]. The ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is given by:
[tex]r = \frac{RX}{RS}[/tex]
Where:
[tex]RX = \sqrt{(x_{X}-x_{R})^{2}+(y_{X}-y_{R})^{2}}[/tex]
[tex]RS = \sqrt{(x_{S}-x_{R})^{2}+(y_{S}-y_{R})^{2}}[/tex]
Let be [tex]x_{R} = -4[/tex], [tex]y_{R} = 3[/tex], [tex]x_{S} = 16[/tex] and [tex]y_{S} = 18[/tex].
a) If we know that [tex]x_{X} = 8[/tex] and [tex]y_{X} = 12[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:
[tex]RX =\sqrt{[8-(-4)]^{2}+(12-3)^{2}}[/tex]
[tex]RX = 15[/tex]
[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]
[tex]RS = 25[/tex]
Then,
[tex]r = \frac{15}{25}[/tex]
[tex]r = \frac{3}{5}[/tex]
(8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S.
b) If we know that [tex]x_{X} = 0[/tex] and [tex]y_{X} = 6[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:
[tex]RX =\sqrt{[0-(-4)]^{2}+(6-3)^{2}}[/tex]
[tex]RX = 5[/tex]
[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]
[tex]RS = 25[/tex]
Then,
[tex]r = \frac{5}{25}[/tex]
[tex]r = \frac{1}{5}[/tex]
(0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.
WILL GIVE BRAINLIEST WORTH THIRTY POINTS! Find a so that CD will have the given slope: a) C(5,−2), D(−4,a); m=0 b) C(a,–1), D(–3,2); m=undefined c) C(–3,–2), D(1,a); m=2
The value of a for the equation of line CD are;
a) a = -2b) a = -3c) a = 6Given the following data:
a) C(5, -2), D(-4, a); m = 0
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]5, -4[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 0To find the value of a;
Mathematically, the slope (m) of an equation of line is given by the formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the values into the formula, we have;
[tex]0 = \frac{a - [-2]}{-4 - 5}\\\\0 = \frac{a\; + \;2}{-9}[/tex]
Cross-multiplying, we have;
[tex]-9[/tex] × [tex]0[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 0[/tex]
a = -2
b) C(a, -1), D(-3, 2); m = undefined
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]a, -3[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-1, 2[/tex]Slope, m = undefinedTo find the value of a;
Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).
Substituting the given values into the slope formula, we have;
Undefined [tex]= \frac{2 - [-1]}{-3 - a}[/tex]
Undefined [tex]= \frac{2 + 1}{-3 - a}[/tex]
Next, we would equate the denominator to zero (0);
[tex]-3 - a = 0[/tex]
a = -3
c) C(-3, -2), D(1, a); m = 2
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]-3, 1[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 2Substituting the values into the formula, we have;
[tex]2 = \frac{a - [-2]}{1 - [-3]}\\\\2 = \frac{a\; + \;2}{1 \;+ \;3}\\\\2 = \frac{a\; + \;2}{4}[/tex]
Cross-multiplying, we have;
[tex]4[/tex] × [tex]2[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 8[/tex]
[tex]a = 8 -2[/tex]
a = 6
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