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CaHeK987 [17]
3 years ago
15

The 20% tip on a $8 sandwich ​

Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

Tip of $1.60

The total is $9.60

Step-by-step explanation:

(20% × $8) + $8

$1.60 + $8

$9.60

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A scientist has two solutions, which she has labeled Solutuion A and Solution B. Each contains salt. She knows that Solutuion A
ratelena [41]

a = amount (in oz) of solution A

b = amount of solution B

The scientist wants a mixture of 110 oz, so

a + b = 110

Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So

0.65 a + 0.9 b = 82.5

Solve for a and b:

b = 110 - a

0.65 a + 0.9 (110 - a) = 82.5

0.65 a + 99 - 0.9 a = 82.5

0.25 a = 16.5

a = 66  ==>  b = 44

5 0
3 years ago
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown. What is the smallest poss
julia-pushkina [17]

Answer:

17 inches

Step-by-step explanation:

An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.

Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.

Now we know that for an obtuse triangle,

$c^2 > a^2 +b^2$

$c^2 > (9)^2 +(14)^2$

$c^2 > 81 +196$

$c^2 > 277$

c > 16.64

Therefore the smallest possible whole number is 17 inches.

4 0
3 years ago
Read 2 more answers
Today, both the soccer team and the basket ball team had games (starting on Monday). The soccer team plays every 3 days and the
yarga [219]
I think eight because if you add those days together they will play again in eight days so that they play on the same day.

Sorry if I got it wrong I tried and that's what counts, right?
3 0
3 years ago
A carpenter lays 16 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
r-ruslan [8.4K]
I believe it's 24 tiles per hour.
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3 years ago
Determine which method works, substitution or elimination? 4x^2+3y^2=42x^2-6y^2=-3
GarryVolchara [31]

Given:

\begin{gathered} 4x^2+3y^2=4 \\  \\ 2x^2-6y^2=-3 \end{gathered}

Find the method .

Sol:

\begin{gathered} 4x^2+3y^2=4..............(1) \\  \\ 2x^2-6y^2=-3.............(2) \end{gathered}

2eq(1) + eq(2) then,

8x^2+6y^2=8

Then apply the elimination method.

\begin{gathered} 8x^2+6y^2=8 \\ 2x^2-6y^2=-3 \\ --------- \\ 10x^2=5 \\  \\ x^2=\frac{5}{10} \\  \\ x=\sqrt{\frac{1}{2}} \end{gathered}

3 0
1 year ago
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