Alex, Stephen and Bridget share some sweets in the ratio 4:1:1. Alex gets 36 sweets. How many sweets are there altogether?

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

Answer:

Step-by-step explanation:

y - 8 = -2/3(x + 3)

y - 8 = -2/3x - 2

y = -2/3x + 6

Answer: no , the correct answer is 3x+2

Step-by-step explanation:

Remove parentheses.

x−1+2x+3

Collect like terms.

(x+2x)+(−1+3)

Simplify.

3x+2

Answer:

I guess it's the 3rd one as well

Answer:

x = - 1

Step-by-step explanation:

The points A, B and C are collinear meaning they all lie on a line.

Thus

AB + BC = AC , substitute values

x + 10 + x + 14 = 22, that is

2x + 24 = 22 ( subtract 24 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Answer:

d

Step-by-step explanation:

this says x is greater than -4 meaning the integers cannot include -4

it also says x is less than or equal to one meaning that it can include 1 but not more than 1

d satisfies this inequality.

Answer: It would represent a linear function.

Step-by-step explanation:

Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.

Answer:

112

Step-by-step explanation:

find LCM

4,7,8,16=112

Answer & Step-by-step explanation:

Since you looking for the width and you are given the length and the area, then you will divide the area by the length.

(10x² + 5x) ÷ 5x

You can also turn this into a fraction so you can know what you are dividing.

[tex]\frac{10x^2+5x}{5x}[/tex]

So, your width is 2x + 1

Answer:

2x + 1 is the width.

Step-by-step explanation:

Length times width equals the area, which means that the area divided by the length equals the width. In this case, 10x^2 + 5x divided by 5x equals the width.

10x^2 / 5x equals 2x.

5x / 5x equals 1.

The width equals 2x + 1.

Answer:

d

Step-by-step explanation:

first two are to measure mass not area and third is too large of a measurement for a beach towel. Hope it helps!

Answer:

$2.20

Step-by-step explanation:

If the beads cost $1.50 for each necklace, then we have to do $1.50 X 5 = $7.50

Then, $18.50 - $7.50 = $11

Then $11/ 5 = $2.2

Answer:

The  difference is  22.5 km

Step-by-step explanation:

CD = 4.5 cm

DE = 8 cm

       -----------

         12 .5 cm

CE = 5 cm

The difference is

12.5 - 5 = 7.5 cm

Then multiply by the scale factor

7.5 cm * 3 km /1 cm =22.5 km

Answer:

Step-by-step explanation:

Answer:

486

Step-by-step explanation:

Answer:

The coordinates of point B = (1, -4)

Step-by-step explanation:

Complete Question

Point A is at (−3,4) and point C is at (2,−6). Find the coordinates of point B on line AC such that the ratio of AB to AC is 4:5.

Solution

Point B divides line AC into two parts

A = (-3, 4)

C = (2, -6)

AB:AC = 4:5

If (AB/AC) = (4/5)

5AB = 4AC

But AC = AB + BC

5AB = 4(AB + BC)

5AB = 4AB + 4BC

5AB - 4AB = 4BC

AB = 4BC

(AB/BC) = (4/1)

AB:BC = 4:1

Hence, point B divides line AC internally into two parts with ratio 4:1

Mathematically, if a point P(x, y) divides the coordinates (x₁, y₁) and (x₂, y₂) internally in the ratio m:n then point P(x, y) is given as

x = [(mx₂ + mx₁)/(m + n)]

y = [(my₂ + my₁)/(m + n)]

For this question,

x₂ = 2

x₁ = -3

y₂ = -6

y₁ = 4

m = 4

n = 1

Point B is then described with coordinates

x = [(4×2 + 1×-3)/(4+1)] = (5/5) = 1

y = [(4×-6 + 1×4)/(4+1)] = (-20/5) = -4

Hence, the coordinates of point B is given as

(x, y) = (1, -4)

Hope this Helps!!!

Answer:

(-3,-3)

Step-by-step explanation:

above.

Answer:

B

Step-by-step explanation:

M is a factor of N and [tex](1+r)^t[/tex], which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

Answer:

Answer is option d) 2

Step-by-step explanation:

[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression, (2x + 3y)/4 - 2

The value of expression, when  x = 2 and y = 4

⇒ (2×2 + 3×4)/4 - 2

⇒  (4+12)/4 -2

⇒   16/4  - 2

⇒  2

Hence, the value of expression is 2

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Answer

D= t^2 + 5.6

Step-by-step explanation:

D= t + 5.3 x t + 0.3

D= t^2 + 5.6

Answer:

Yes they are equal. Hkama d d jans ans

Answer:

$91,500

Step-by-step explanation:

The land appreciates 5% of 30k which is $1,500 and multiply that by 61

The approximate value of the land in 2021 will be $588,394.356.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Value of the land in 1960 = $30,000

Each year, the value is increasing approximately 5 % = 5/100 = 0.05.

Value of the land in 1961 = 30,000 + (30,000 × 0.05)

                                         = 30,000 (1 + 0.05)

                                         = 30,000 × 1.05

Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)

                                          = (30,000 × 1.05) (1 + 0.05)

                                          =  (30,000 × 1.05) (1.05)

                                          = 30,000 × (1.05)²

So each year previous value is multiplied with 1.05.

Value of the land after n years = 30,000 × (1.05)ⁿ

Value of the land after 61 years = 30,000 × (1.05)⁶¹

                                                     = 588,394.356

Hence the approximate value of the land in 2021 is $588,394.356.

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Answer:

(x+8)²-2=0

(x+8+√2)(x+8-√2)=0

x= - 8- √2 =  -9.41 lesser x

x= -8 + √2 = -6.59  greater x

Answer:

[tex]\mathrm{Decimal}:\quad x=-6.58578\ ,\:x=-9.41421[/tex]

Step-by-step explanation:

[tex]\left(x+8\right)^2-2=0\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\\left(x+8\right)^2-2+2=0+2\\Simplify\\\left(x+8\right)^2=2\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+8=\sqrt{2}:\quad x=\sqrt{2}-8\\x+8=\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\sqrt{2}-8\\\mathrm{Simplify}\\x=\sqrt{2}-8[/tex]

[tex]\mathrm{Solve\:}\:x+8=-\sqrt{2}:\quad x=-\sqrt{2}-8\\x+8=-\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=-\sqrt{2}-8\\\mathrm{Simplify}\\x=-\sqrt{2}-8\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=\sqrt{2}-8,\:x=-\sqrt{2}-8\\\mathrm{Decimal}:\quad x=-6.58578 ,\:x=-9.41421[/tex]

The answer is 360km^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Step-by-step explanation:

According to the information given and the formula

base area= 9cm × 4cm = 36

ht= 10cm

(1/3) × 36cm × 10cm = 120

Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle which is called a lateral face.

Given are the dimensions of the base of a rectangular pyramid as 9 cm by 4 cm. Length AE is equal to 10 cm.

The volume of a pyramid is given by -

V[P] = 1/3 x B[A] x height

where

B[A] is Base area.

Base area will be equal to Area of rectangle with dimensions  9 cm by 4 cm. Therefore, the base area will be - B[A] = 9 x 4 = 36 cm²

Now, the volume will be -

V[P] = 1/3 x 36 x 10

V[P] = 12 x 10

V[P] = 120 cm³

Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.

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Answer:

Options A, E

Step-by-step explanation:

If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;

[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]

Refer to Solution below;

A. Check!

E. Check!

Answer:

5.5

Step-by-step explanation:

divide both sides

Answer:

Rounding x = 5.52

Step-by-step explanation:

2.1x - 3.6 = 8

Add 3.6 to each side

2.1x - 3.6+3.6 = 8+3.6

2.1x = 11.6

Divide each side by 2.1

2.1x/2.1 = 11.6/2.1

x =5.523809524

Rounding x = 5.52

Answer:

6

Step-by-step explanation:

There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.

Answer:

There is no picture?

Step-by-step explanation:

Answer:

a. The graph of g(x) is the graph of f(x) stretched vertically.

Step-by-step explanation:

I just took test and got it correct 100%

Answer:

what is the question I do not understand