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2 years ago

Is the sum of 5/16 + 7/15greater than 1, less than 1, or equal to 1?

Mathematics

2 answers:

Katyanochek1 [597]2 years ago

7 0

Less than 1
Multiply the bases to get a common denominator
75/240+112/240
187/240
187<240 therefore it is less than 1

geniusboy [140]2 years ago

3 0

Answer:

It is less than 1

Step-by-step explanation:

5/16 is equal to 0.3125 and 7/15 is equal to 0.466. When added together is equals 0.779.

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(3/5)^2+4X3-2 what is the value of the expression

Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

$(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

$=12.36 - 2$

$=10.36$

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

$=(\frac{3}{5})^{2} + 4 \times 3 - 2\\$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

Next we do the addition/subtraction. Again, whichever comes first.

$=12.36 - 2$

$=10.36$

7 0

3 years ago

An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice?

Vesna [10]

Answer:

10 oranges

Step-by-step explanation:

4 oranges are needed to make one cup. 2 cups is 8 oranges and 1/2 cup is 2 oranges

8 0

3 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

larisa86 [58]

Answer:

525 x 1,050

A = 551,250 m²

Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of the three sides is given by:

$2S+L=2,100\\ L=2100-2S$

The area of the rectangular plot is given by:

$A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2$

The value of 'S' for which the area's derivate is zero, yields the maximum total area:

$\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525$

Solving for 'L':

$L=2100-(2*525)\\L=1,050$

The largest area enclosed is given by dimension of 525 m x 1,050 and is:

$A = 525*1,025\\A=551,250\ m^2$

5 0

3 years ago

Due SOON!!

DedPeter [7]

Answer:

?=19

x=30

Step-by-step explanation:

5/6x - 1/5x = 19

5(5/6x) - 6(1/5x) = 19

25/30x-6/30x=19

19/30x=19

19x=19(30)

19x=570

x= 570/19

x=30

6 0

2 years ago

What is the value of the expression “-5(3+5)”

Snowcat [4.5K]

-5 (3 + 5)

-5 (8)

-5 × 8

= -40

Good luck :)

8 0

2 years ago

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Is the sum of 5/16 + 7/15greater than 1, less than 1, or equal to 1?​

Is the sum of 5/16 + 7/15greater than 1, less than 1, or equal to 1?