victor needs 30 feet of rope. the rope he want to buy is sold by the yard. he know that there are 3 feet in the 1 yard. how many yards should he buy?

Answer:

896 in.^3

Step-by-step explanation:

Find the volume of each prism, and add the two volumes together.

V = BH

Upper prism:

Vupper = (1/2)bhH = (1/2)(6 in.)(12 in.)(14 in.)

Vupper = 504 in.^3

Lower prism:

Vlower = (1/2)bhH = (1/2)(7 in.)(8 in.)(14 in.)

Vlower = 392 in.^3

Volume = Vupper + Vlower

Volume = 504 in.^3 + 392 in.^3

Volume = 896 in.^3

Answer: 896 ci

Step-by-step explanation:

Answer:

7.33333333333

Step-by-step explanation:

3x - 7 = 15

3x = 15 + 7

3x = 22 (divide both sides by 3 to get x)

3x/3 = 22/3

x = 7.33333333333

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

Step-by-step explanation:

[tex]3x+7=15\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\\\3x+7-7=15-7\\\\Simplify\\\\3x=8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{8}{3}\\\mathrm{Simplify}\\\\x=\frac{8}{3}[/tex]

Answer:

x = 54/7 y= -4/7

Step-by-step explanation:

Answer:

x = 54/7 and y = -4/7

Step-by-step explanation:

x+3y=6

4x-2y=32

= 4 ( x+3y=6 )

= 4x +12y = 24 - 4x -2y = 32

=14y = -8

y = - 4/7

X + 3(-4/7) = 6

x+-12/7 = 6

x = 54/7

Answer:

(14, 5)

Step-by-step explanation:

1. substitute- (x,y)=the original coordinates (9,9) right?

2. So no you want to do x, you have 9 and if you are moving right 5 units it'll be 9+5 because x is left to right on a graph.

9+5=14 therefore (14,y)

3. Now you do y, y is up and down. So you want to go down 4, you subtract 4 from 9 giving you five. Now you have (14,5)

Hope I could help! :)

Answer:

Next 3 terms 031, N30, D31

Step-by-step explanation:

J30, J31, A31, S30

The above series represent the

first letter of the month and the days in it

J30= June which have 30 days

J31= July which has 31 days

A31= August which have 31 days

S30= September which have 30 days

30 days hath September, April, June and November. All the rest have 31 except February alone which has but 28 or 29 days

The next 3 terms of the series J30, J31, A31, S30 are 031, N30, D31

Answer:

SJ + JH = SH or SH = SJ + JH

Step-by-step explanation:

If J belongs to segment SH, then we know that SJ + JH = SH.

Answer:

$4.59

Step-by-step explanation:

At the sale price:

5 paints set cost Jasmine $16.45

Each paint set = Total cost of 5 paints set / 5

= $16.45 / 5

= $3.29

What was the price of 1 paint set before the sale?

Because the store reduces the price of each paint set by $1.30 before selling, we will add $1.30 to the price of each paint set during sales

Price of each paint set during sales = $3.29

price of 1 paint set before the sale = $3.29 + $1.30

= $4. 59

The cost of 1 paint set before the sale was $4.59

From the question, we are told that 5 paints set cost $16.45. From this, we can know the cost of 1 paint.

Cost of 1 paint set = cost of 5 paints set / 5

Cost of 1 paint set = $16.45 / 5

Cost of 1 paint set = $3.29

We are then asked the price of 1 paint set before the sale?

Since the store reduces the price of each paint set before selling it, this them means that we will add $1.30 to the price during the sales .

If the cost of 1 paint set during sales is $3.29, then

the cost of 1 paint set before the sale = $3.29 + $1.30

the cost of 1 paint set = $4. 59

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Answer:

as a decimal its 2.66666666667, as a mixed number its about 2 1/3

Step-by-step explanation:

multiply 2/3 by 4 to get the whole amount of flour

Answer:

13 y^2 - 13 y + 11

Step-by-step explanation:

Simplify the following:

15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7

Grouping like terms, 15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7 = (15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4):

(15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4)

15 y^2 - 2 y^2 = 13 y^2:

13 y^2 + (-15 y + 2 y) + (7 + 4)

2 y - 15 y = -13 y:

13 y^2 + -13 y + (7 + 4)

7 + 4 = 11:

Answer: 13 y^2 - 13 y + 11

Answer:

A.

Step-by-step explanation:

This is a geometric sequence with common ratio -12/-3 = 4  ( -48/-12  = 4 and  -192 / -48 = 4).

nth term = a1 r^(n - 1) so the 8th term

= -3 * (4)^(8 - 1)

= -49,152.

The 8th term of the geometric sequence is -768

A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Formula for the n th term of a geometric sequence in the form

aₙ=a₁ rⁿ

Given sequence is   -3, -12, -48, -192, . . .

It is a geometric sequence with the ratio between consecutive terms is 4

i.e. r = 4

a₁ = -3

a₈ = -3 ×4⁸

   =-768

Thus the 8th term of this sequence is -768

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Answer:

$2500

Step-by-step explanation:

It is assumed that we need a tax calculation one off per year.

In this case $50,000 yearly salary falls in 5% range

So the tax is:

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (2, - 5) into the partial equation

- 5 = - 6 + c ⇒ c = - 5 + 6 = 1

y = - 3x + 1 → D

The equation of the line is y=-3x+1. Therefore, option D is the correct answer.

Given that, the coordinate point is (2, -5) and the slope m is -3.

The equation of a line can be written many different ways, and each of these ways is valid. The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.

Put (x, y)=(2, -5) and m=-3 in y=mx+c, we get

-5 = (-3)(2) + c

⇒ c = 1

Substitute m=-3 and c=1 in y=mx+c, that is

y=-3x+1

The equation of the line is y=-3x+1. Therefore, option D is the correct answer.

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Answer:

a = 0

Step-by-step explanation:

a + 5 = -5a + 5      subtract 5 from both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a                add 5a to both sides

a + 5a = -5a + 5a

6a = 0                 divide both sides by 6

6a / 6  =  0 / 6

therefore,

a = 0

Answer:

(400-x) / 3

Step-by-step explanation:

Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies. Write your answer as an expression

Solution

Total chocolate chips Savannah has=400

Saved chips for garnish =x

Total chocolate chips remaining= 400 - x

We subtract the saved chocolate chips because when an item is saved, it will be deducted from the original Quantity

She mixed the rest of the chocolate chips evenly into 3 pans of brownies

That is,

Remaining chocolate chips (400 - x) is mixed evenly into 3 pans of brownies

(400 - x) / 3

Therefore, the answer is given by the expression:

(400-x) / 3

Answer:

For me i got this.  A) = 16.846mg B) 24 days I am also in summer school for toronto schoolboard.  I used the formula like how it said so should be good.

Step-by-step explanation:

A)

[tex]P(t) = Po(2)x^\frac{t}{d} \\=5(2)^\frac{7}{4} \\=16.817mg[/tex]

B)

[tex]320=5(2)^\frac{t}{4}\\ 64=2^\frac{t}{4}\\2^6=2^\frac{t}{4}\\6=\frac{t}{4}\\(4)6=t \\t=24 days[/tex]

Answer:

A. Plane B because it was 9.33 miles away

B. 48 units

Step-by-step explanation:

A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.

So for airplane A with 44° angle of departure,

sin44° = y/h where y = height above the ground and h = distance from airport

So h = y/sin44° = 6/sin44° = 8.64 miles

So for airplane B with 40° angle of departure,

sin40° = y/H where y = height above the ground and H = distance from airport

So H = y/sin40° = 6/sin40° = 9.33 miles

Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.

B. We know that scale factor = new size/original size

Our scale factor = 4 and original size = 12 units. So,

new size = scale factor original size = 4 × 12 = 48 units.

Answer:

Options (1), (2) and (3) will be the correct options.

Step-by-step explanation:

Graph of the quadratic parent function has the following characteristics.

1). It is represented by the equation, y = x²

2). It is a parabola.

3). Graph of the given parabola passes through origin.

4). Graph will be symmetrical in two quadrants, I and II.

By these properties,

Options (1), (2) and (3) will be the correct options.

Answer:

A, B, C are the answers.

Step-by-step explanation:

Answer:

1). Rational

2). Irrational

3). Rational

4). Rational

5). Irrational

Step-by-step explanation:

To solve this question we should follow the rule,

"Addition of rational and an irrational number is an irrational number."

1). [tex]\sqrt{16}=4[/tex] (rational number)

   [tex]-\frac{21}{5}[/tex] (negative rational number)

   [tex]\sqrt{16}-\frac{21}{5}=4-\frac{21}{5}[/tex]

                  [tex]=-\frac{1}{5}[/tex] [rational number]

2). π → (Irrational number)

   24 → (rational number)

   π + 24 → (Irrational number)

   Since addition of a rational and an irrational number is an irrational number.

3). [tex]\sqrt{4}[/tex] = 2 (rational number)

     5 (rational number)

    2 + 5 = 7 (rational number)

4). [tex]\sqrt{36}=6[/tex] (rational number)

   [tex]\sqrt[3]{27}=3[/tex] (rational number)

    [tex]\sqrt{36}+\sqrt[3]{27}=9[/tex] (rational number)

5). [tex]\frac{3}{4}[/tex] (rational number)

   [tex]\sqrt{27}[/tex] → (Irrational number)    

   [tex]\frac{3}{4}+\sqrt{27}[/tex] → (Irrational number)

Answer:

yes

Step-by-step explanation:

-1 1/2 = -3/2

A rational number is a number that can be written as a fraction of integers.

-1 1/2 is the same as -3/2.

-3 and 2 are integers, so -3/2 is a fraction of integers.

Answer: yes

Answer: Yes

Step-by-step explanation:

-1 1/2 is a rational number because it is a non-repeating fraction and is still rational even if it is negative.

Word Forms

40,000=forty thousand

600=six hundred

8=eight

0.9=zero and nine tenths

100,000=one hundred thousand

70,000=seventy thousand

5,000=five thousand

300=three hundred

80=eighty

0.4=zero and 4 tenths

Figure Forms

40,000=400 squares (hundreds)

600=6 squares (hundreds)

8=8 little squares (ones)

0.9=9 lines (tenths)

100,000=100 squares (hundreds)

70,000=70 squares (hundreds)

5,000=50 squares (hundreds)

300=3 squares (hundreds)

80=8 lines (tens)

0.4=4 lines (tenths)

♡ Hope this helps! ♡

❀ 0ranges ❀

the answer is (-9,-7) it flips into the 3rd quadrant.

Answer:

The four true statements are:

1. If an angle is a right angle,  it measures 90°.

2. If an angle measures 90°, it is a right angle.

3. If an angle is not a right angle,  it does not measure measure 90°.

4. If an angle does not measure 90°, it is not a right angle.

Step-by-step explanation:

Given the biconditional statement:

An angle is a right angle if and only if it measures 90°.

To find:

Four true conditional statements.

Solution:

First of all, let us the learn the concept of four true conditional statements from a given biconditional statement.

Let the biconditional statement be "[tex]a[/tex] is true if and only if [tex]b[/tex] is true.

Then the four true statements can be written as:

1. If [tex]a[/tex] is true then [tex]b[/tex] is true.

2. If [tex]b[/tex] is true then [tex]a[/tex] is true.

3. If [tex]a[/tex] is false then [tex]b[/tex] is false.

4. If [tex]b[/tex] is false then [tex]a[/tex] is false.

Here [tex]a[/tex] is "an angle is a right angle"

[tex]b[/tex] is "it measures 90°" .

So, the four true statements are:

1. If an angle is a right angle,  it measures 90°.

2. If an angle measures 90°, it is a right angle.

3. If an angle is not a right angle,  it does not measure measure 90°.

4. If an angle does not measure 90°, it is not a right angle.

Answer:

1

Step-by-step explanation:

Simplify the following:

(44×10)^0

Hint: | Simplify (44×10)^0 by distributing exponents over products.

Multiply each exponent in 44×10 by 0:

Answer: 1

any number to the zero power always gives a one

Answer:

there are 2 solutions in total

Step-by-step explanation:

x^2-4=0

x^2=4

x= ±2i

Answer:

x=±2

Step-by-step explanation:

x²-4=0

x²-2²=0

(x+2)(x-2)=0

either x+2=0,x=-2

or x-2=0,x=2

Answer:

There are no triangles given, so I will explain what congruent triangles are.

Step-by-step explanation:

Two triangles are said to be congruent if the three sides and the three angles of both the angles are equal in any sense.

Consider the following conditions for two triangles:

- Two angles and corresponding side, of the two triangles are equal

- Two sides and angle between the two triangles are equal

- Hypotenuse and Leg of two right angled triangles are equal.

If all these conditions are met for any two triangles, they are said to be congruent.

Answer: x=24

Step-by-step explanation:

step 1: remove parenthesis  x+x+1+x+2=75

step 2: collect like terms 3x+3=75

step 3: move the constant to the right side of equation 3x=75-3

step 4: subtract 3x=72

step 5: divide both sides by three to get x by itself x=24

Answer:

actual length = 171.67 ft.

Step-by-step explanation:

scale of school bus drawing is 12 in. to 5 ft.

if the length of a school bus drawing is 412 in.

                                                     5 ft

the actual length is    = 412 in x --------

                                                     12 in

actual length = 171.67 ft.

The required actual length of the bus is 171.7 feet.

Given that,
A scale drawing of a school bus has a scale of 12 inches to 5 feet.
The length of the school bus is 412 inches on the scale drawing,
To determine the actual length of the bus.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

here,
Scale given,
12 inches = 5 feet
1 inch = 5 / 12 feet
Now on the drawing, the length of the bus is 412 inches,
Now,
the actual length of the bus is,
= 412 * 5 / 12
= 171.7 feet

Thus, the required actual length of the bus is 171.7 feet.

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Answer:

Step-by-step explanation:

Area of parallelogram= base * height

Answer:

A= L × W

or

A = S × S

Step-by-step explanation:

A parallelogram are shapes with 4 sides. To find its area, we must do the following formula.

(For rectangle, etc...)

Area = Length × Width

A represents Area

L represents Length

(For a square)

Area = Side × Side

A represents Area

S represents Side

Always remember that the answer of a question that is looking for the area of a 2D shape is always squared. (Let x represent the answer and cm as the example of unit of measurement: x cm²)

I hope this helps! I'm sorry if it's wrong or too complicated.