PLEASE HELP I WILL MARK BRAINLIEST

Answer:

1: B

2: A

3: D

4: C

Step-by-step explanation:

In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.

Example 1:

3/4 ÷ 1/2

3/4 x 2/1

= 3/2

= 1 1/2

Example 2:

1 1/2 ÷ 1/2

3/2 ÷ 1/2

3/2 x 2/1

= 6/2

= 3

Answer:

3 m

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 5 = 8 parts

Divide the length by 8 to find the value of one part of the rope

24 m ÷ 8 = 3 m ← value of 1 part of the ratio

Thus the shortest piece is 3 m

The required length of the shortest piece is 3 meters.

Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is​ to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
let the required proportion is equal to x,
then,

x + 2x + 5x = 24
8x = 24
x = 3

Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter

Thus, the required length of the shortest piece is 3 meters.

Learn more about Ratio here:

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Answer:

2268

Step-by-step explanation:

Answer:

[tex]AC=5[/tex]

Step-by-step explanation:

From the question we are told that:

Dimensions

[tex]AD=4\\BD=6[/tex]

Generally the equation for these similar right triangle is mathematically given by

[tex]\frac{AC}{AB}=\frac{AB}{AD}=\frac{BC}{BD}[/tex]

[tex]\frac{AC}{AB}=\frac{AB}{AD}[/tex]

Where

[tex]AD=x[/tex]

[tex]AC=x+4[/tex]

Therefore

[tex]AB^2=x(x+4)[/tex]

Generally the Pythagoras equation for [tex]\triangle[/tex]ADB is mathematically given by

[tex]AB^2=BD^2+AD^2[/tex]

[tex]x(x+4)=4+x^2[/tex]

[tex]x(x+4)-(4+x^2)=0[/tex]

[tex]x^2+4x)-(4+x^2)=0[/tex]

[tex]4x-4=0[/tex]

[tex]x=1[/tex]

Therefore

[tex]AC=x+4[/tex]

[tex]AC=1+4[/tex]

[tex]AC=5[/tex]

Answer:

QR ≈ 5.7 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR

QR × cos29° = 5 ( divide both sides by cos29° )

QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )

Answer:

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Step-by-step explanation:

The system of equation in matrix form is defined by following vector formula:

[tex]\vec A \cdot \vec x = \vec b[/tex] (1)

Where:

[tex]\vec A[/tex] - Matrix of coefficients.

[tex]\vec x[/tex] - Column vector of variables.

[tex]\vec b[/tex] - Column vector of results.

If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:

[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Then,

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Answer:

Its C

Step-by-step explanation:

Answer:

it would 13

Step-by-step explanation:

19-6=13 there you go

Answer:

It's 28

Step-by-step explanation

Answer:

a=0

b=-8

c=-16

d=0

e=-3

f=-6

Step-by-step explanation:

Answer:

B) 16x² - 40x + 25

Step-by-step explanation:

1) Use square differences: (a - b)² = a² - 2ab + b².

[tex](4x)^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.

[tex] {4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

3) Simplify 4² to 16.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

4) Simplify 5² to 25.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + 25[/tex]

5) Simplify 2 × 4x × 5 to 40x.

[tex] {16x}^{2} - 40x + 25[/tex]

Thus, the Anwer is Option B) 16x² - 40x + 25 .

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y

Answer:

B. 68 square cm

Step-by-step explanation:

0.5 x 6 x 5 = 15

5 x 7 = 35

9 x 2 = 18

15+35+18 =68

Answer:

Lower and upper quartiles(B)

Step-by-step explanation:

Answer:

=6x−3

Step-by-step explanation:

Let's simplify step-by-step

4x+3(2x−1)−4x

Distribute:

=4x+(3)(2x)+(3)(−1)+−4x

=4x+6x+−3+−4x

Combine Like Terms:

=4x+6x+−3+−4x

=(4x+6x+−4x)+(−3)

=6x+−3

Answer:

6x - 3

Step-by-step explanation:

4x + 3(2x - 1) - 4x

Distribute, multiply every term inside the parenthesis by the term outside of it,

4x + (3)(2x) + (3)(-1) - 4x

Simplify,

4x + 6x - 3 - 4x

Simplify further, combine like terms,

6x - 3

Answer:

True

Step-by-step explanation:

The perimeter is the combined length of all the side lengths of a figure.

Answer:

(2,10) (4,20) (6,30) (8, 40)

Step-by-step explanation:

every minute, the pool fills up with 5 gallons.

if you look at the points, you will see a pattern

Answer:

1.) Hypotenuse.

The hypotenuse is the longer side.

2.)Leg

Answer:

1.) Hypotenuse

2.) Leg

Step-by-step explanation:

The legs or bases of a triangle are the sides connected to the right angle.

The hypotenuse is the side across from the right angle and is always the longest side.

Answer: (x+3)^2+(y-4)^2=49

The answer is b :)

Step-by-step explanation:

Answer:

The value of the car decreased by 16 percent.

Step-by-step explanation:

First I divided 15,540 by 18,500, and I got .84. Then, I subtracted .84 from 1, and got .16. Then I turned .16 into a percent, and got 16%.

Answer:

Factored expression:  -15 (2x + 1)

Answer:

10.50

Step-by-step explanation:

16.50-6

Answer:

24

Step-by-step explanation:

Answer: Equals 24! Have a great day!

Answer:

1.2 miles

Step-by-step explanation:

Morning laps = 3.5 laps

Evening laps = 1 lap

Total miles jogged = 5.4 miles

Total laps made = (3. 5 + 1) = 4.5 miles

Number of miles per laps covered :

Total miles jogged / number f lapses hugged around pond.

= 5.4 miles / 4.5

= 1.2 miles

Therefore, number of miles per round around the pond is 1.2 miles