MATHEMATICS MIDDLE SCHOOL

Jonathan ran five days a week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance jonathan could have run any day this week

Answers

Answer 1

Answer:

Answer: $x\leq17.5$

Step-by-step explanation:

Given: The number of days Jonathan ran = 5

The most he ran in 1 day = 3.5 miles

Therefore, the maximum distance he ran in a week= $5*3.5=17.5\ miles$

Let x be the distance Jonathan could have rum in a week, such that

$x\leq17.5$

Hence, the required inequality is $x\leq17.5$ .

Answer 2

Answer: ok so a week has 7 days so we have to include that in our inequality so it should look something like this 3.5 is less than or equal to 7 tell me is that one of your answer choices?

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In a right isosceles triangle, the lengths of both legs are equal. For the given iscoceles triangle, what is the value of x? (The given triangle has a hypotenuse of square root sign with 72 under it. The two legs both have x.)
If 6+3 is 15, 7+4 is 24, 5+8 is 32, 9+3 is 24, then what is 8+5?

ellie and sara see 8 birds in the tree. ellie sees 2 fewer birds than sara. sara sees 5 birds. how many birds does ellie see?

Answers

She sees 3 birds in the tree

Which measure is less than 435 inches A 37 ft

B 36 ft 10 in

C 12 yd 3 in

12 ft 3 in show how u get the answer

Answers

Answer:

12 feet 3 inches are less than 435 inches.

Step-by-step explanation:

We are asked to find which of our given measure is less than 435 inches.

Let us check our given choices one by one, converting each given measurement into inches.

A. 37 ft.

$\text{1 ft}=\text{12 inch}$

$\text{37 ft}=37* \text{12 inch}$

$\text{37 ft}=\text{444 inch}$

Since 444 inches are greater than 435 inches, therefore, option A is not a correct choice.

B. 36 ft 10 in.

$\text{1 ft}=\text{12 inch}$

$\text{36 ft}=36* \text{12 inch}$

$\text{36 ft}=\text{432 inch}$

$\text{36 ft 10 in}=\text{432 inch+ 10 inch}$

$\text{36 ft 10 in}=\text{442 inch}$

Since 442 inches are greater than 435 inches, therefore, option B is not a correct choice.

C. 12 yd 3 in

$\text{1 yard}=\text{36 inch}$

$\text{12 yard}=12*\text{36 inch}$

$\text{12 yard}=\text{432 inch}$

$\text{12 yard 3 inch}=\text{432 inch+ 3 inch}$

$\text{12 yard 3 inch}=\text{435 inch}$

Since 12 yards 3 inches are equal to 435 inches, therefore, option C is not a correct choice either.

D. 12 ft 3 in

$\text{1 ft}=\text{12 inch}$

$\text{12 ft}=12* \text{12 inch}$

$\text{12 ft}=\text{144 inch}$

$\text{12 ft 3 in}=\text{144 inch + 3 inch}$

$\text{12 ft 3 in}=\text{147 inch}$

Since 147 inches are less than to 435 inches, therefore, option D is the correct choice either.

12 ft 3 in

37 x 12 = 444 in
36 x 12 = 432
432+10= 442
12 x 3 = 36
36 x 12 = 432
432 + 3 = 435
12 x 12 = 144
144 + 3 = 174

please give thanks if it helps

A 4 cm × 6 cm 4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of 11 cm 11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.

Answers

Answer:

Area of the rectangle: 24 cm²
Area of the circle: 380.13 cm²
Area of between the circle and the rectangle: 356.13 cm²

Explanation:

The question describes a rectangle of dimensions 4 cm × 6 cm inscribed in a circle with radius 11 cm.

You can find:

The area of the rectangle
The area of the circle
The area between the rectangle and the circle.

1. Area of the rectangle:

$Area=length* width=4cm* 6cm=24cm^2$

2. Area of the circle:

$Area=\pi* radius^2=\pi * (11cm)^2\approx 380.13cm^2$

3. Area between the rectangle of the circle:

This is the area of the circle that does not belong to (or is outside of) the area of the rectangle.

$Area=\text{area of the circle - area of the rectangle}\n \n Area=380.13cm^2-24cm^2=356.13cm^2$

Izzy deposits any money the team has left at the end of the season into a savings account, where it will remain until next season. This year, Izzy deposited $440 into a savings account that earns 312% simple interest. If the next season starts in 6 months, how much money will be in the account then? Explain

Answers

Answer: $447.04

Step-by-step explanation:

Amount (A) = Simple interest + Principal,

Simple interest = (Principal * rate * time)

A = (P * r * t) + P

Principal (P)= $440

rate (r)= 32% or 0.032 as a decimal

Evaluate cot 120° without using a calculator by using ratios in a reference triangle.

Answers

The reference angle for $120\degree$ is $60\degree$ .

Recall that $cot(120\degree) = (1)/(tan(120\degree))$

This implies that $cot(120\degree) = (1)/(tan(60\degree))$

Recall also from $30\degree - 60\degreee - 90\degree$ triangle that

$tan(60\degree)=\sqrt(3)$ and also since $120\degree$ is the in the second quadrant, the tangent ratio is negative.

Putting all together we have

$cot(120\degree) = (1)/(-\sqrt(3))$

Rationalizing the denominator gives

$cot(120\degree) = (-\sqrt(3))/(3)$

Answer:

The value of cot 120° is $-(√(3))/(3)$ .

Step-by-step explanation:

Consider the trigonometric identity:

$cot(180-\theta)= -cot(\theta)$

Now use the above trigonometric identity:

$cot(120)= cot(180-60)$

$cot(180-60)= -cot(60)$

Now use the identity: $cot(\theta)=(1)/(tan(\theta))$

$-cot(60)=-(1)/(tan(60))$

Substitute the value of tan 60°.

$-(1)/(tan(60))=-(1)/(√(3))$

Now rationalize the denominator gives us:

$-(√(3))/(3)$

Hence, the value of cot 120° is $-(√(3))/(3)$ .

Which phrase describes a nonlinear functiona The area of a circle as a function of the radius
b the perimeter of a square as a function of the side length
c the cost of gasoline as a function of the number of gallons purchased
d distance traveled by a car moving at constant speed as a function of time

Answers

The solution is Option A. The area of a circle as a function of the radius

The phrase which describes a non linear function is the area of a circle as a function of the radius

What are Linear Equations?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

The area of a circle as a function of the radius

So , the area of the circle A = πr² , where r is the radius of the circle

Now , the linear equations in one variable is an equation which is expressed in the form of ax + b = 0

So , the r² term in the area of circle does not make it a linear function

Hence , the non linear function is area of a circle as a function of the radius

To learn more about linear equations click :

brainly.com/question/10185505

#SPJ3

Nonlinear means not in a straight line if you graph it.

The answer would be C because the number of gallons of gasoline purchased varies.

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