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3 years ago

How many pounds of a 4% solution of borax must be added to 24 pounds of a

Mathematics

1 answer:

Marrrta [24]3 years ago

6 0

Answer:

8 pounds of 4% solution of borax

Step-by-step explanation:

Let x be the 4% solution

24 pounds of 12% solution

obtain a 10% solution of borax that is (x+24) pounds

4% is 0.04 and 12% is 0.12 , 10% is 0.1

$0.04x+24(.12)=0.1(x+24)$

solve the equation for x

$0.04x+24(.12)=0.1(x+24)\\0.04x+2.88= 0.1x+2.4\\2.88= 0.06x+2.4\\0.48=0.06x\\x=8$

so 8 pounds of 4% solution of borax

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3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

3 years ago

The swim team has 41 people on their team they need new swim gear the swim caps cost $5 and the swim suit cost $ 16 dollars how

IRISSAK [1]

Answer:

The money they will have to pay is $861.

Step-by-step explanation:

Given:

The swim team has 41 people on their team.

They need new swim gear the swim caps cost $5 and the swim suit cost $16.

Now, to find the money they will have to pay.

Number of people on the swim team = 41.

Cost of swim caps = $5.

Cost of swim suit = $16.

Now, to get the total money they will have to pay:

Number of people on the swim team× (cost of swim caps + cost of swim suit)

$=41\times (5 +16)$

$=41\times 21$

$=\$861.$

Therefore, the money they will have to pay is $861.

7 0

3 years ago

B Identify the coefficient and the number of terms in the

Elenna [48]

It’s D because the number that have an (x) is a COEFFICIENT and I hope it helps :)

8 0

2 years ago

28, 33, 88, 81, 40, 25, 41 Mean median mode and range

PolarNik [594]

Hello!

Step-by-step explanation:

Mean: 48

Median: 40

Mode: None

Range: 63

Hope this helps!

3 0

2 years ago

Read 2 more answers

Sara scored 8 goals this season. This is two less than a third of the goals she scored last season.

Charra [1.4K]

Answer:

30 goals last season

Step-by-step explanation:

Goals this season = 8

Goals this season = 1/3 of goals last season - 2

Let Goals scored last season = x

Therefore,

8 = 1/3x - 2

8 = x/3 - 2

8 + 2 = x / 3

10 = x / 3

x = 10 * 3

x = 30

Sara scored 30 goals last season

3 0

2 years ago