Answer:
one paperback = 0.6 pounds
one textbook = 3.6 pounds
Explanation:
Let the mass of one paperback be 'p' and one textbook be 't'.
Equation one:
sum of mass = total mass in box
20p + 9t = 44.4Equation two:
20p + 5p + 9t + 1t = 5125p + 10t = 51make 't' subject
10t = 51 - 25pt = 5.1 - 2.5pInsert this into equation one:
20p + 9(5.1 - 2.5p) = 44.4
20p + 45.9 - 22.5p = 44.4
20p - 22.5p = 44.4 - 45.9
-2.5p = -1.5
p = 0.6
The weight of 1 paperback is 0.6 pounds.
The weight of 1 textbook:
t = 5.1 - 2.5p
t = 5.1 - 2.5(0.6)
t = 3.6
The weight of 1 textbook is 3.6 pounds.
What is the smallest prime divisor of 5^23+7^17?
Answer:
well, both numbers are odd, so their sum will be even.
2 is the smallest prime divisor.
50 POINTS+brainliest but reposting again because my points were used last time: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example
you will be reported if your answer is absurd
Answer:
If it is a perfect square, k=0 in the form y=a(x-h)^2+k.
Step-by-step explanation:
x^2-4x+4=(x-2)^2, meaning that the vertex is at the point (2,0).
Hope this helped :)
Mary's desk was 67.94 inches long, Joe's desk was 78.26 inches long and Troy's desk was x inches long. If the length of all the desks combined was 214.62 inches, how long was Troy's desk?
Answer:
68.42
Step-by-step explanation:
We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!
Answer:
68.42
Step-by-step explanation:
We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!
Simplify -40/7+8-23/7
Answer:
-1
Step-by-step explanation:
-40/7+8-23/7
= -40/7+8-23/7
= 16/7-23/7
= -1
CORRECT ANSWERS ONLY PEEPS- this is 7th grade math on khan academy and if ur answer is incorrect, ill report yalll
Answer:
2
Step-by-step explanation:
proportional relationship: must be straight line and go through (0, 0).
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: C. 2 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Proprtional relationship can be depicted as :
[tex]\qquad \tt \rightarrow \: y \propto x[/tex]
[ to get rid of proportionality sign, we use constant c ]
[tex]\qquad \tt \rightarrow \: y = cx[/tex]
Now, conclusion can be made that the shown equation represents a straight line.
And the graph has two straight lines, which means proportional relationship is shown by Two members
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
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Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why?
Yes, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 2 and 5 over 8
No, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 1 and 2 over 12
No, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 1 and 2 over 12
Yes, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 2 and 5 over 8
Answer:
I believe it is A
Mitch and Renae are sharing a large sub sandwich. Mitch ate 1/4 of the sandwich, and Renae ate 2/4 of the sandwich. How much of the sandwich did they eat altogether?
Look at this number sentence.
( ? + 10 ) + 4 = 7 + ( 10 + 4 )
Answer:
x = 7
or
7 + 10 + 4 = 7 + 10 + 4
Step-by-step explanation:
( ? + 10 ) + 4 = 7 + ( 10 + 4 )
x + 10 + 4 = 7 + 10 + 4 (the answer is just 7)
x + 14 = 21
x = 21 - 14
x = 7
Daniel is a piano instructor who gives lessons on weekends. The cost of one lesson is $30. Daniel is offering a 5-lesson package with a 25% discount off the total price.
How much would a student save by buying a multi-pack compared to 5 separate lessons?
Why would Daniel offer a discount when he knows he could earn more money selling the lessons separately?
Answer:
150 is if you buy them separately but 150-25%=112 so 150-112=38 so students would save $38
Step-by-step explanation:
he made that package so that more people would go to his lessons know that there was a discount going on and more people would choose his lessons over people who don't have discounts.
Answer:
1- Separately - 150
2- students would save 38
I WILL GIVE BRAINLIEST
Answer:
D. 8/7
Step-by-step explanation:
A probability value is always in the interval [0, 1], between 0 (can't happen) and 1 (certain to happen).
__
A value of 8/7 will not be a probability. Statement D does not correctly use probability.
[tex]9e+4=-5+14+13e[/tex]
Janice started watching TV at 8:53pm. She didn't turn off the television until 2:41am the next morning. How long was the TV on?
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 40 degrees C each month. His data contained -
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 40 degrees C.
2) Find the median for his data set of days that had a temperature above 40 degrees C.
3) Find the mode for his data set of days that had a temperature above 40 degrees C.
4) If, instead, there are 5 more days per month that had a temperature above 40 degrees C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 40 degrees C, what will be the mode for the data?
6) If the number of days per month that had a temperature above 40 degrees C, doubles each month in that year, what will be the median for the data?
7) For what value of x will 9, 16 and x have the same mean (average) as that of 26 and 12?
8) For what value of x will 55 and x have the mean (average) as 67?
9) The mean (average) weight of three boys is 40 pounds. One of the boys weighs 50 pounds. The other two boys have the same weight. Find weight of each of the boys?
10) A cat consumes 2 cups of milk every day. How much milk does that cat drink on an average in a week?
11) What is mode for above question?
does anyone know what the √2.25 is when rewritten as a fraction?
Answer: [tex]\sqrt{\frac{9}{4} }[/tex]
Step-by-step explanation:
This is what it is as a mixed number
[tex]\sqrt{2.25}[/tex]
= [tex]\sqrt{2\frac{1}{4} }[/tex]
= [tex]\sqrt{\frac{9}{4} }[/tex]
If you want it written in exponential form it would look like this:
[tex](\frac{9}{4}) ^{\frac{1}{2} }[/tex]
Answer:
1.5 in decimal and 3/2 or 1 1/2 in fraction
Step-by-step explanation:
hope this helps:)
8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example
Answer:
(x - 2)² + 0
Step-by-step explanation:
Using x² - 4x + 4
(x² - 4x + 4)
x² - 4x + (-2)² - (-2)² + 4 (complete the square)
(x - 2)² - ( -2)² + 4 (use the binomial formula)
(x - 2)² + 0
Vertex point at (2,0)
Answer:
(x - 2)² + 0
Step-by-step explanation:
Step-by-step explanation:
Using x² - 4x + 4
(x² - 4x + 4)
x² - 4x + (-2)² - (-2)² + 4 (complete the square)
(x - 2)² - ( -2)² + 4 (use the binomial formula)
(x - 2)² + 0
Vertex point at (2,0)
Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.
A rectangular-shaped dining room table is modeled by the figure given below. A) Write an equation to represent the area of the dining room table. B) If the the area of the table is 112 ft2, what are the dimensions of the dining room table?
Answer:
A) (x+10)(x+4) = ?
B) (x+10)(x+4) = 112, solve for x
Step-by-step explanation: you multiply the two equations to get the area.
Answer:
a)[tex](x^{2} +14x+40)ft^{2}[/tex]
b)14ft, 8ft
Step-by-step explanation:
a) Area of Rectangle = Length x Breadth
= [tex](x+10)(x+4)\\=x^{2} +4x+10x+40\\=(x^{2} +14x+40) ft^{2}[/tex]
b) Given Area of rectangle = [tex]112ft^{2}[/tex]
[tex]x^{2} +14x+40=112\\x^{2} +14x-72=0 (Quadratic Equation)\\\\[/tex]
Quadratic Equations: [tex]ax^{2} +bx+c = 0\\[/tex]
In this case, a = 1, b = 14, c = -72
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\= \frac{-14+/-\sqrt{14^{2} 4(1)(-72)} }{2(1)} \\= 4 or - 18 (reject)[/tex]
We reject negative values.
so x = 4,
The length of table = (x+10) ft = 4+10 = 14ft
The breadth of the table = (x+4) ft = 4 + 4 = 8ft
Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.
Translate the following phrase to a mathematical expression.
a number times fifteen
(A) 15 n
(B) 15 + n
(D) 15 ÷ n
(C) n15
Answer:
I think C
Step-by-step explanation:
A number times fifteen would be n • 15 or just n15.
The reason it is not 15n is because it asks a "number" which in this case is represented by the letter n. That letter is now multiplied (times) by 15. So therefore the number "n" times 15 is n15.
Please hit brainliest or thanks, it would help me out.
#Learnwithbrainly
I need help quick!!!!
Answer:
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST!!!: Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
How many students in the survey chose to fly as their superpower?
______ students
Image here:
Answer:
38
Step-by-step explanation:
for this table, we can add up all of the students who chose flying (both the "male" and "female" students)
26 + 12 = 38
So, 38 students chose flying as their superpower.
hope this helps!!
please answer fast!
If a certain measurement of a polygon is 283 in2, it means:
A. the polygon's measurements are 283 inches by 283 inches.
B. the polygon's volume is 283 in?
C. 283 one-inch by one-inch squares will fit over its surface.
D. none of the above.
Answer: C
Step-by-step explanation:
A says the polygon's measurements are 283 inches by 283 inches. Is it Correct? No. If we multiply these numbers we get 80,089 inches squared, which is not equal to our actual surface of 283 inches squared.
B says the polygon's volume is 283 inches cubed, which is not correct because it says that a certain measurement of a polygon is 283 inches squared, not cubed, which means we got a surface/area, not a volume.
C says that our 283 inches squared area could fit 283 one-inch by one-inch squares, which is correct because one-inch by one-inch is an one inch squared area, if we multiply this one-inch squared by the number 283, we get 283 inch squared area.
And D couldn't be because the answer is C.
Hope I Helped!
5[2(4) + 3 +4] in a verbal expression.
Answer:
2 multiplied by 4. Then add 3, and add 4. Then multiplied by 5.
*HELP* *NEEDS IT ALSO TODAY RIGHT NOW*
Compare.
it would be less because rt42 is closer to halfway between 6 and 7
Answer:
Less that
Step-by-step explanation:
rt42 is closer to halfway between 6 and 7
I WILL GIVE BRAINLIEST ( hurry!1!! :[ )
b
Step-by-step explanation:
because I am not sure what to do with my life
How do you find and identify parallel lines in Geometry? I'm going into 6th grade next year, and I am doing my summer homework. Please help!
Answer:
Parallel lines are lines that never touch each other
Step-by-step explanation:
they are straight and go on forever without intersecting (crossing)
Answer:
parallel lines are always the same distance apart from each other at all times, they never come in contact with one another
Step-by-step explanation:
They never intersect. It is difficult to explain, but you can look at examples on the internet. Hope this helps, have a good day, and good luck with your summer homework and good luck in 6th grade :)
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The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).
Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)
Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)
Answer:
Step-by-step explanation:
A: The starting point is located in Quadrant Q and the finishing point will be located in Quadrant S.
B: The checkpoint is in Quadrant P so it is in the middle of the course. The course will go from Quadrant Q to Quadrant S clockwise.
I WILL GIVE BRIANLIEST FOR FASTEST AND CORRECT ANSER
Answer: C
Step-by-step explanation:
Step 1: Find the unit rate (tomatoes per bowl)
Last time, the ratio was 9:12, or 9 tomatoes for 12 bowls of soup. To finndd the unit ratet, dividde the ffirst given unnit by the 2nd. In this case, tomatoes is the first unit, and bowls is the second. So the unit rate is:
9÷12= 0.75, or 3/4 of a tomato per bowl of soup.
Now, the ratio is 6:8, or 6 tomatoes for 8 bowls of soup. The unit rate is
6÷8= 0.75, or 3/4of a tomato per bowl of soup.
Step 2: Compare
As you can see, the number of tomatoes per bowl of soup hasn't changed at all. So the answer is C.
Hope this helps :)
Answer:
Todays’s soup will taste the same.
Step-by-step explanation:
9 tomatoes for every 12 cups of soup- ratio= 9/12=3/4
6 tomatoes for every 8 cups of soup- ratio=6/8=3/4
They both end in the same ratio, which is 3/4.
PLS HELP WILL GIVE BRANLIEST
Answer:
Cold length 7 days or longer with medicine taken = 0.24
Cold length less than 7 days with medicine taken = 0.76
Cold length 7 days or longer without medicine taken = 0.69
Cold length less than 7 days without medicine taken = 0.31
Step-by-step explanation:
the ratio of cats and dogs at the city pound is 92 to 144.which statement descrbes this relationship?
Answer:
There are 23 cats for every 36 dogs at the city pound
Step-by-step explanation:
This means that for every group of 92 cats at the city compound there is a group of 144 dogs. So it also means that for every group of 23 cats there is a group of 36 dogs.
92 to 144 or 92/144 = 23/26 or 23 to 36
Hope This Helps OutAnswer:
8:12
around every 8(7.6)cats there will be 12 dogs