<img src="https://tex.z-dn.net/?f=%5Cfrac%7B-23%7D%7B30%7D%20%2B%20%5Cfrac%7B5%7D%7B48%7D" id="TexFormula1" title="\frac{-23}{30

All categories

IRISSAK [1]

2 years ago

} + \frac{5}{48}" alt="\frac{-23}{30} + \frac{5}{48}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Monica [59]2 years ago

7 0

Answer:

(-53)/80

Step-by-step explanation:

Simplify the following:

-23/30 + 5/48

Put -23/30 + 5/48 over the common denominator 240. -23/30 + 5/48 = (8 (-23))/240 + (5×5)/240:

(8 (-23))/240 + (5×5)/240

8 (-23) = -184:

(-184)/240 + (5×5)/240

5×5 = 25:

(-184)/240 + 25/240

-184/240 + 25/240 = (-184 + 25)/240:

(-184 + 25)/240

-184 + 25 = -159:

(-159)/240

The gcd of -159 and 240 is 3, so (-159)/240 = (3 (-53))/(3×80) = 3/3×(-53)/80 = (-53)/80:

Answer: (-53)/80

You might be interested in

X-11=90 what is the value of X

lapo4ka [179]

Add 11 to each side. X = 90+11
X = 101

6 0

1 year ago

Read 2 more answers

Write the part-to-whole relationship for the fraction given below.

vivado [14]

Answer:

1. Two ribbons, A and B. One third of A is equal to all of B. Draw a tape diagram to show the ribbons.

2. Half Robert’s piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?

3. Half Sarah’s wire is equal to 2/5 of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?

4 0

2 years ago

practice factoring a difference of squares. which expressions represent a perfect square monomial and its square root? check all

ohaa [14]

The perfect square monomial and its square root are shown in options 1, 2, and 5.

A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
1) 121, 11
11² = 121
A perfect square monomial and its square root are represented by this equation.
2) 4x², 2x
(2x)² = 4x²
A perfect square monomial and its square root are represented by this equation.
3) 9x²-1, 3x-1
(3x-1)² = 9x²- 6x +1
This phrase does not depict a square monomial and its square root in perfect form.
4) 25x, 5x
(5x)² = 25x²
This phrase does not depict a square monomial and its square root in perfect form.
5) 49(x^4), 7x²
(7x²)² = 49(x^4)
A perfect square monomial and its square root are represented by this equation.

To learn more about monomial, visit :

brainly.com/question/9183135

#SPJ4

8 0

10 months ago

Sam has $440 in $20, $10, and $5 dollar bills. The number of twenties, tens and fives are consecutive integers in this order. Ho

Ludmilka [50]

Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.

Step-by-step explanation:

Let the number of twenties be x

Let the number of tens be x+1

Let the number of fives be x+2

Amount from twenties will be given as

$20\times x=20x$

Amount from tens will be given as

$10\times (x+1)=10x+10$

Amount from fives will be given as

$5\times (x+2)=5x+10$

According to question,

$20x+10x+10+5x+10=440\\\\35x+20=440\\\\35x=440-20\\\\35x=420\\\\x=\frac{420}{35}\\\\x=12$

So, there are 12 bills for $20, 13 bills for $10 and 14 bills for $5.

6 0

2 years ago

Driving at the speed limit, it takes you 2 hours to drive your delivery truck 100 miles. assuming you drive at the same speed, h

Varvara68 [4.7K]

Speed is the rate of change of distance.
the speed of the truck for the 100 miles within 2 hours is
speed = 100 miles travelled / 2 hours taken
speed = 50 miles/hour
assuming that the driver drives at 50 miles/hr
the time taken to drive 50 miles is - 1 hour
therefore to drive 300 miles - it takes - 300 miles / 50 miles/hr
the time taken is - 6 hours
it takes 6 hours to drive for 300 miles

3 0

2 years ago