MATHEMATICS MIDDLE SCHOOL

1- Caleb's family room has the dimensions shown. He needs to find the area of the room so that he knows how much carpet to buy. Complete the area model below to find the area of the family room.

Answers

Answer 1

Answer:

Answer: $20(11)/(32)\ sq\ yd$

Step-by-step explanation:

Given: The width of the room = $3(7)/(8)\ yd=(31)/(8)\ yd$

The length of the room = $1(5)/(4)\ yd=(21)/(4)\ yd$

The area of the rectangular room= $length * width$

⇒The area of the rectangular room= $(21)/(4)*(31)/(8)\ sq\ yd$

⇒The area of the rectangular room= $(651)/(32)\ sq\ yd$

⇒The area of the rectangular room= $20(11)/(32)\ sq\ yd$

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in a recipe for tomato sauce the ratio of fluid ounces of water to fluid ounces of tomato paste is 3:4. you plan to make 35 fluid ounces of tomato sauce. how many fluid ounces of tomato paste do you need?

Answers

You need 20 ounces of tomato paste to be mixed.

In fluid ounces of Sauce 4/7 part is tomato paste.

So in 35 fluid ounces of Sauce;

4/7 * 35 = 20 ;

Fluid ounces of tomato paste to be mixed.

Estimate this question using compatible numbers. 276÷ 42

Answers

We are estimating, so we round the numbers to something that would be beneficial to us to more easily solve the problem (using mental math). We want to round to compatible numbers to make the math more simple. If we round to numbers that are divisible by 10 it makes the association easy to see... If we round 276 to 280 and 42 to 40, we see that we have complimentary numbers because 28 divides evenly by 4 to give 7. So

280 / 40 = 7

Identify the zero of the function by factoring
12x²-3x=0

Answers

3x(4x-1)=0
3x=0 and 4x-1=0

3x=0
x=0

4x-1=0
add 1
4x=1
divide 4
x=1/4

x=0 or 1/4

factorise 3x(4x-1)=0

What’s the distance between (3,4) , (7,2)

Answers

Answer:

$D= 4.47$

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

$D=√((y_2-y_1)^2+(x_2-x_1)^2)$

Where

$(x_1,y_1) = (3,4)$

$(x_2,y_2) = (7,2)$

Replacing these values in the distance formula

$D =√((7-3))^2+(2-4)^2)$

$D =√((4)^2+(-2)^2)$

$D =√(16+4)$

$D =√(20)$

$D= 4.47$

X^2 + 20x + 28 = 9 find the graphing/vertex form

Answers

Answer: $(x+10)^2+119=0$

Step-by-step explanation:

For a quadratic equation, the vertex form is given by : $y=a(x-h)^2+k$ , where (h, k) is the vertex.

The given quadratic equation: $x^2 + 20x + 28 = 9$

Subtract 9 from both sides

$=x^2+20x+19=0$

compare this to $x^2+bx=c$ , and add $((b)/(2))^2$ both sides

b= 20

$x^2+20+100+19=-100$ [(b/2)²=20/2=10]

$\Rightarrow\ x^2+2(x)(10)+10^2+119=0$

$\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab]$

So, the vertex form : $(x+10)^2+119=0$

Relative frequencies are calculated as _____________.Percentages
Medians
Ranges
Totals

Answers

Relative frequencies are calculated as totals.

Here, we have,

In statistics, relative frequency refers to the proportion or percentage of times a particular value or category appears in a dataset relative to the total number of observations or data points.

It is a way to express the frequency of a value or category in relation to the whole dataset.

To calculate the relative frequency, you divide the frequency (number of times a value or category occurs) by the total number of observations or data points.

This gives you the proportion or percentage of occurrences relative to the total.

For example, if you have a dataset of 100 observations and a specific value appears 20 times, the relative frequency of that value would be 20/100 or 0.20, which is 20%.

So, relative frequencies are calculated as totals by comparing the specific frequency of a value or category to the total number of observations in the dataset.

To know more about frequency, visit here:

brainly.com/question/5102661

#SPJ4

they’re calculated as percentages fractions and decimals

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