3. A wire of length 90 cm is cut into three pieces. The lengths of the pieces are in the ratio 3:5:7. Calculate the length of (a) the longest piece. (b) the difference between the longest and the shortest piece. 3:5:1 Wire length: 90 cm​

Answer:

Whole number

Step-by-step explanation:

Whole number because it equals one and one is a whole number.

Answer:

  y = x - 8

Step-by-step explanation:

You want an equation for the line through the points (8, 0) and (3, -5).

The slope of the line can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-5 -0)/(3 -8) = -5/-5 = 1

The y-intercept can be found from the equation ...

  b = y1 -m(x1)

  b = 0 -1(8) = -8

The slope-intercept equation of the line is ...

  y = mx +b

  y = 1·x +(-8)

  y = x -8 . . . . . an equation for the line

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Answer:

an abolitionist

Step-by-step explanation:

a person who favors the abolition of a practice or institution, especially capital punishment or

Answer: D An Abolitionist

Step-by-step explanation:

a person who favors the abolition of a practice or institution, especially capital punishment or (formerly) slavery

pls give me brainlest <3

Answer:

39 ft^2

Step-by-step explanation:

To find surface area you add up the all the areas of the shapes.

Triangle:

5x3=15

15/2= 7.5

Since there are 4 triangles its 7.5x4 which is 30.

Square:

3x3=9

7.5+7.5+7.5+7.5+9 or 30+9= 39

39 ft squared.

The volume of a cone is the amount of space in the cone

The radius of the cone is 4.00 millimeters

The given parameters are:

Volume = 150.72 cubic mL

Height = 9 mL

The volume of a cone is calculated as:

[tex]V = \frac 13 \pi r^2h[/tex]

So, we have:

[tex]150.72 = \frac 13 \pi * r^2 * 9[/tex]

Divide

[tex]150.72 = \pi * r^2 * 3[/tex]

Divide both sides by 3

[tex]50.24 = \pi * r^2[/tex]

Rewrite the equation

[tex]50.24 = \frac{22}{7} * r^2[/tex]

Solve for r^2

[tex]r^2 = 50.24 * \frac{7}{22}[/tex]

Solve for r

[tex]r = 4.00[/tex]

Hence, the radius of the cone is 4.00 millimeters

Read more about volume at:

https://brainly.com/question/1972490

Answer:

B. "She should name the diameter she first drew EG and name the new segment FH."

Step-by-step explanation:

Lets name the vector V: (-2,7)

U which is the unit vector is

  [tex]u = \frac{V}{||V||} = \frac{(-2,7)}{\sqrt{(-2)^{2} +(7^2)} } } = \frac{1}{\sqrt{53} } (-2,7) = (\frac{-2}{\sqrt{51} } ,\frac{7}{\sqrt{51} } )[/tex]

Hope that helps!

Answer:

4 inches

Step-by-step explanation:

Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches

Answer:

False

Step-by-step explanation:

2,4,6,8,10,12, ETC

Answer:

B. (1, -3/2)

Step-by-step explanation:

Midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

Answer: PART A:

w-3.5 t=8

w-3.25t=24

PART B:

t=64

and w= 232

PART C:

It will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

PART A:

Let the water is filling in 't' minutes.

and 'w' denotes the amount of water in the container.

for container 1:

One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.

The equation is given by:

or

for container 2:

The other begins with 24 gallons and is filled at 3.25 gallons per minute.

The equation is given by:

or

PART B:

on solving equation (1) and equation (2) by method of elimination we get:

subtract equation (2) by equation (1) to obtain:

t=64

and  putting the value of t in equation (1) to obtain:

w= 232

PART C:

Hence it will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

12 - 33/4

= 3.75

Answer:

2(2x-3)

Step-by-step explanation:

Answer:

-n + 1

Step-by-step explanation:

(n + 2) - (2n + 1)

n + 2 - 2n - 1

-n + 1

Answer:

[tex] \sf \: -n + 1 [/tex]

Step-by-step explanation:

Given information,

→ h(n) = n + 2

→ g(n) = 2n + 1

Now we have to,

→ find the value of h(n) - g(n).

Then required value will be,

→ h(n) - g(n)

→ (n + 2) - (2n + 1)

→ n + 2 - 2n - 1

→ (n - 2n) + (2 - 1)

→ (-n) + (1)

→ -n + 1

Hence, the value is -n + 1.

The ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.

Relative frequency of a event is the measure of something happens relative to the total outcomes of that event.

The relative frequency can be given as,

[tex]f_r=\dfrac{f}{n}[/tex]

Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.

The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.

Now, the ratio has to be find out which best defines relative frequency. Lets check options,

Hence, the ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.

Learn more about the relative frequency here;

https://brainly.com/question/3857836





Answer:

To sum out whatever they said the answer is D

Step-by-step explanation:

All credit to the guy on top

Answer:

5

Step-by-step explanation:

Container volume = 2 1/2 liters

Bottle volume = 1/2 liters

No. of bottles = Container vol. / Bottle vol.

= 2 1/2 / 1/2

= 5/2 / 1/2

= 5

2.5 divided by 1/2=5

5 lemonade bottles

Answer:

Step-by-step explanation:

Range = Maximum value - minimum value

          = 69 - 13

           = 56

Ratio remains same

[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{2}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{1}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=3.2/2[/tex]

[tex]\\ \rm\Rrightarrow x=1.6[/tex]

Answer:

640 gram 8 rolls

Step-by-step explanation:

2000 ÷ 25 = 80 gram 1 roll

80 × 8 = 640 gram 8 rolls

Please give me brainliest;)

The quotient of the start fraction 7 superscript 7 negative 6 over 7 squared end fractions is,

[tex]\dfrac{1}{7^8}[/tex]

Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The number given in the problem is,

[tex]\dfrac{7^{-6}}{7^2}[/tex]

Let the quotient of these number is n. Therefore,

[tex]n=\dfrac{7^{-6}}{7^2}\\[/tex]

Now if the power of numerator is negative, then it can be written in denominator with positive power of the same number. Therefore, the above equation written as,

[tex]n=\dfrac{1}{7^2\times7^{6}}\\n=\dfrac{1}{7^{2+6}}\\n=\dfrac{1}{7^8}[/tex]

Hence, the quotient of the start fraction 7 superscript 7 negative 6 over 7 squared end fractions is,

[tex]\dfrac{1}{7^8}[/tex]

Learn more about the quotient here;

https://brainly.com/question/673545

Answer:

It would be A. [tex]\frac{1}{7^{8} }[/tex].

Step-by-step explanation:

Hope this helps!

Answer:

0.945×10^2 is the answer to the question given

Answer:

the answer is b it's the most accurate of them all

Answer:

h = 6.71

Step-by-step explanation:

6^2 + b^2 = 9^2

36 + b^2 = 81

36 - 36 = 0

81 - 36 = 45

b^2 = 45

square root of 45

b = 6.71

Answer:

4

Step-by-step explanation:

The diameter is 2 times the radius.

radius = 2

diameter = 2 × 2 = 4

Answer: 4

Answer:

24 bracelets can be made from given beads.

● Explanation -To make similar bracelets using all the beads, we have to find the highest common factor of no of beads.Now, Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72Factors of 192 => 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192Factors of 120 => 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120HCF => 24Observing this data, HCF of 72, 192 & 120 will be 24.Therefore, total 24 bracelets can be made from given beads.* Each bracelet will have 3 red, 8 blue and 5 white beads.

Answer:

[tex]\boxed{\sf{m=\frac{4}{5}}}[/tex]

Step-by-step explanation:

In order to solve this problem, we will use the slope.

Slope:

[tex]\sf\dfrac{Y_2-Y_1}{x_2-x_1}=\dfrac{rise}{run}[/tex]

y2=(-6)

y1=(-2)

x2=2

x1=7

Solve the problem by rewriting it down.

[tex]\sf{\dfrac{(-6)-(-2)}{2-7} }=\dfrac{(-6)+2}{2-7}=\boxed{\dfrac{4}{5} }[/tex]

m=4/5

Therefore, the slope is 4/5.

I hope this helps! Feel free to correct me if I am wrong.