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3 years ago

O MODULE 1: EXPRESSIONS AND EQUATIONS

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

First, multiply the 5 by each of the terms inside the parentheses. Next, simplify each part of the expression and then add. The answer is 5(2+3)=25. The distributive property also works if there is subtraction inside the parentheses

Step-by-step explanation:

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Which measurements are equal to 321 decimeters? Check all that apply.

allochka39001 [22]

Answer:

a) 32100 millimeters

c) 3,210 centimeters

d)3.21 decameters

Step-by-step explanation:

To find which measurements are equal 321 decimeters, we will follow the steps below:

changing 321 decimeters to millimeters

let x be 321 decimeters in millimeters

1 decimeter = 100 millimeters

321 decimeters = x

cross - multiply

x = 321× 100

x = 32100 millimeters

hence, 321 decimeters = 32100 millimeters

converting 321 decimeters to centimeters

let y be 321 decimeters in centimeters

1 decimeters = 10 centimeters

321 decimeters = y

cross-multiply

y = 321× 10

y = 3210 centimeters

Thus, 321 decimeters = 3210 centimeters

converting decimeter to decameters

let z represent 321 decimeters in decameters

1 decameter = 100 decimeter

z = 321 decimeter

cross-multiply

100 z = 321

divide both-side by 100

100z/100 = 321/100

z=3.21 decameters

therefore, 321 decimeters = 3.21 decameters

5 0

4 years ago

Read 2 more answers

If h= 1/2mk ,express m in terms of h and k

Sergeeva-Olga [200]

we are given

$h=\frac{1}{2}mk$

Since, we have to solve for m

so, we will isolate m on anyone side

step-1: Multiply both sides by 2

$2*h=2*\frac{1}{2}mk$

$2h=mk$

step-2: Divide both sides by k

$\frac{2h}{k} =\frac{mk}{k}$

$\frac{2h}{k} =m$

so, we get

$m=\frac{2h}{k}$ ..............Answer

7 0

4 years ago

Solve the following equation using algebric formulas (x-y)(x+y)

photoshop1234 [79]

The simplified expression of (x + y)(x - y) is x^2 - y^2

<h3>How to solve the expression?</h3>

The expression is given as:

(x + y)(x - y)

Expand the bracket

x(x - y) + y(x -y)

Further, expand

x^2 - xy + xy - y^2

Evaluate the like terms

x^2 - y^2

Hence, the simplified expression of (x + y)(x - y) is x^2 - y^2

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0

2 years ago

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5) = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5 = 56

4x + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

= 16.5 in

3 0

2 years ago

The director of the town's sports programs is studying trends in enrollment over time. She finds that the number of participants

ziro4ka [17]

Answer:

The function is : $y=120(1.10)^x+120+10x$

Step-by-step explanation:

Suppose, after $x$ years, the number of participants in the town's soccer program is $y_{1}$ and in the town's street hockey program is $y_{2}$

This year, there are 120 children participating in each program.

The number of participants in the town's soccer program increases by 10% each year.

Using the exponential growth formula, the number of participants in the town's soccer program after $x$ years will be.....

$y_{1}=120(1+0.10)^x\\ \\ y_{1}=120(1.10)^x$

The number of participants in the town's street hockey program increases by 10 children each year.

So, the number of increased participants in $x$ years $=10x$

Thus, the number of participants in the town's street hockey program after $x$ years will be.....

$y_{2}=120+10x$

If the total number of children participating in the two programs is represented as $y$ , then.....

$y= y_{1}+y_{2}\\ \\ y=120(1.10)^x+120+10x$

So, the function that can be used to predict the total number of children participating in the town's soccer and street hockey programs in x years will be: $y=120(1.10)^x+120+10x$

3 0

3 years ago