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.
Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.
In Jason's class, 1/2 of the boys have brown eyes, 1/5 of the boys have blue eyes, and 3/10 of the boys have hazel eyes. How many more of the boys have brown eyes than hazel eyes?
Answer:
2
Step-by-step explanation:
ist you have to lind the lcd of each fraction. that would be 10.
1/2x5/5=5/10 of the boys have brown eyes
1/5x2/2=2/10 of the boys have blue eyes
3/10=3/10 of the boys have hazel eyes
The question is asking to see how many more boys have brown eyes than hazel eyes.
Subtract 3/10 from 5/10
and that gives you 2/10
The answer is 1/5.
We know that half of the boys in Jason's class has brown eyes, while three-tenths of the boys in his class have hazel eyes. Therefore, if we subtract the two values, you should get your answer.
[tex]\frac{1}{2} -\frac{3}{10} =\frac{2}{10}[/tex]
1/5 is the simplified version of 2/10. Therefore, 1/5 is your answer.
Which inequality symbol do I use? -3.5 ___ 1.5 and |-3.5| __ |1.5|
Answer:
-3.5 < 1.5 and |-3.5| > |1.5|
Please help 15 points each but beware if you use my points for no reason or don't answer all 3 boxes I'll report you
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!
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
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
What is the distance between the house and the library?
Answer:
C (√34)
Step-by-step explanation:
Pythagoras' theorem states that: a² + b² = c², where c is the hypotenuse and what we are trying to figure out.
So, 3² + 5² = c²
9 + 25 = 34 = c²
c = √34
:)
Answer:
C (√34)
Step-by-step explanation:
how do i find the LCD? ( Lowest Common Denominator )
Answer:
First for example let's say
3 and 15your going to doing what you do normally for gcf but then make an l and times it if that makes sense
Step-by-step explanation:
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.
please help!!!!!!!!!!!!!!!!!!!!!!