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3 years ago

The sum of four consecutive integers is 48. What is the smallest of four integers? Plz hurry

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le

julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is $6x-3$ centimeters.

The width is $2x+6$ centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

<u>As given that the width is </u> $\frac{4}{5}$ of the length.

$2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\$

Adding both sides by $\frac{12}{5}$

$2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}$

Subtracting both sides by $2x$

$2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\$

By cross multiplication:-

$5\times14x=5\times42\\ \\ 70x=210\\ \\$

By diving both sides by 70

$x=3$

<u>Now, substituting the value:-</u>

The length = $6x-3$ cm

= $6\times3-3=18-3=15\ cm$

The width = $2x+6$ cm

= $2\times3+6=6+6=12\ cm$

Thus, length and width of canvas are 15 cm and 12 cm.

7 0

3 years ago

What number is 1218 tens and ones

andrezito [222]

121 tens and 8 ones

4 0

3 years ago

The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value

Natali [406]

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

$x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0$

It is a quadratic equation. The values of x are :

$20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}$

The smaller number is 4/5 and the larger number is 5/4.

6 0

3 years ago

If your car goes 50 kilometers in 2 hours,what is its average speed

Georgia [21]

Answer:

25 kilometers per hour

Step-by-step explanation:

I just simply made it into a proportion of 50/2=x/1 and 50 divided by 2 is 25. hopefully that help you.

8 0

3 years ago

What is the simplest multicellular organism?

grigory [225]

The simplest multicecullar organism is alga

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3 years ago