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3 years ago

6

Two numbers have a sum of 20 and a difference of 16 what are the two numbers

1 answer:

HACTEHA [7]3 years ago

8 0

A. 18+2 = 20 abs 18-2= 17

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3 years ago

What would the answer be to 1/2+1/8-1/4

Inga [223]

The answer for that equation will be 0.375.

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3 years ago

Read 2 more answers

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

Is this expression equivalent to 1.5?<br><br> 0.15 / 10<br><br> (0.15 divided by 10)

dimulka [17.4K]

Answer:

False

Step-by-step explanation:

0.15/10 equals 0.015

6 0

2 years ago

4 coffees and 12 lattes. Costs $61

Gala2k [10]

Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = $c$

∴ 4 coffees cost = $4c$ and 12 coffee cost = $12c$

∵ 1 latte cost = $l$

∴ 12 lattes cost = $12l$ and 7 lattes cost = $7l$

Now, as per question:

$4c+12l=61-----1\\12c+7l=59.75----2$

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

$-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25$

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

$4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5$

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0

3 years ago