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3 years ago

A scientist you two gallons of liquid for every 3 hours he works. He uses

Mathematics

1 answer:

nekit [7.7K]3 years ago

3 0

Answer:

2/3

Step-by-step explanation:

He uses 2 gallons per 3 hrs.

Divide 2 by 3 and you find the amount he uses in an hour

= 2/3 gallons or ca 0.667 gallons

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Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and

erastova [34]

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

8 0

3 years ago

Read 2 more answers

The 7th grade class experienced a 15% decrease in enrollment. Last year, the 7th grade class had 280 students. How many students

Monica [59]

238 students are enrolled in the 7th grade class this year

<u>Solution: </u>

Given that

Percentage decrease in number of students enrolled in 7th grade = 15%

Number of students enrolled last year = 280

Need to determine number of students enrolled in 7th grade this year.

Lets assume number of students enrolled this year = x

<em>Percentage decrease in enrollment </em>= (Number of student enrolled last year – Number of students enrolled this year) whole divided by number of students enrolled last year multiplied by 100

$\begin{array}{l}{\Rightarrow 15=\frac{280-x}{280} \times 100} \\\\ {=>15 \times 280=28000-100 x} \\\\ {=>100 \mathrm{x}=28000-4200=23800} \\\\ {\Rightarrow x=\frac{23800}{100}} \\\\ {\Rightarrow x=238}\end{array}$

Hence number of students enrolled this year = 238.

7 0

3 years ago

From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find

lana66690 [7]

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

Height of tree opposite angle of elevation = 34ft
Angle of elevation θ = 26°
Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

#SPJ1

3 0

1 year ago

Find the area of the shaded polygons:

Marina86 [1]

Answer:

6.5 square units

Step-by-step explanation:

There are MANY ways to do this problem, most of them involving breaking it into 3 or four shapes. But this one is easier if you do most of it by taking out the squares and half squares.

Squares - 3

Half squares - 4 (totals 2 squares)

Triangle - 1 - 1/2bh = 1/2x1x3 = 1.5

TOTAL = 3+2+1.5=6.5

5 0

2 years ago

The equation below describes a parabola. If a is positive, which way does the

Rzqust [24]

B. Up

Because a positive ‘a’ value will make the parabola open upwards, and because the power is 2 (even) both sides will open up in a ‘U’ shape

8 0

1 year ago

Read 2 more answers