Peter bought 3 different types of
cheese. He bought 1/4 pound of each
type of cheese. How much cheese
did Peter buy in all?

Answer:

  66 cm²

Step-by-step explanation:

As you know from the area formulas, the area of a triangle is equivalent to half the area of a rectangle with the same base and height. Another way to say that is the area of a triangle is equivalent to the area of a rectangle with the same base and half the height.

The triangle added to the side of the square is equivalent in area to a rectangle with the same 6 cm base (vertical dimension), and half the 10 cm height (horizontal dimension). That is, the total area of the polygon is the same as the area of one that is 6 cm high and 6+5 = 11 cm wide.

  A = LW = (6 cm)(11 cm) = 66 square centimeters

__

If you want to figure the area more conventionally, it is the sum of the area of a 6 cm square and a 6×10 cm triangle:

  6² +1/2(6)(10) = 36 +30 = 66 . . . square centimeters

Answer

YES

Step-by-step explanation:

yes, because one of their sides are equivalent.

Answer:

Step-by-step explanation:

a( Pr(no syntax error) = 1-Pr(syntax error arises)

Pr(no syntax error) = 1 -0.3

Pr(no syntax error) = 0.7

b) Pr(no error occurred) = 1-Pr(both error occurred)

Pr(no error occurred) = 1-0.1

Pr(no error occurred) = 0.9

c) Pr(any type of error occurred) = Pr(syntax error occur)+Pr(logical)

Pr(any type of error occurred) = 0.5+0.3 = 0.8

d) Pr(syntax and logical) = Pr(syntax occur)+Pr(logical or syntax occur)

= 0.3+0.1

= 0.4

e) Independent event are events that occurs at the same time. The occurrence of one does not affect the other.

Pr(logical and syntax) = pr(syntax)×pr(logical)

Given

pr(syntax)×pr(logical) = 0.3×0.5 = 0.15

From the question, Pr(logical and syntax) = Pr(both error occurred) = 0.1

Since Pr(logical and syntax) ≠ pr(syntax)×pr(logical), this means that the errors are not independent

[] The equation on the left, 292 [tex]\frac{1}{2}[/tex]  = 18 * 6 [tex]\frac{1}{2}[/tex]  * h

-> Volume is length times width times height. When we plug in all the values we have to solve for h (height) we get this equation.

[] The height is 2.5 inches

-> We will solve the equation above.

-> Multiply 18 by 6 and a half = 117

-> Divide 292 and a half by 117 = 2.5

-> The height is 2.5 inches or 2 [tex]\frac{1}{2}[/tex]inches

292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex]  * h

292 [tex]\frac{1}{2}[/tex] = 117h

[tex]\frac{292 \frac{1}{2} }{117}[/tex]= [tex]\frac{117h}{117}[/tex]

2.5 = 1h

h = 2.5 inches

Answer:

[tex]\frac{5}{10}, \frac{4}{10}, \frac{1}{10}[/tex]  are the numbers you need

Step-by-step explanation:

The least common denominator of those two numbers is 10.

[tex]\frac{1}{2} * \frac{5}{5} = \frac{5}{10} \\\\\frac{2}{5} * \frac{2}{2} = \frac{4}{10} \\\\\frac{5}{10} - \frac{4}{10} = \frac{1}{10}[/tex]

I hope this helps! Have a lovely day! :)

A function that models the total cost of running the air conditioner for the first 400 minutes is [tex]T=130 +0.25m[/tex].

Given the following data:

To write a function that models the total cost of running the air conditioner for the first 400 minutes:

First of all, we would write an equation to models the total cost of running the air conditioner for the first 400 minutes:

For the total time:

[tex]0.25m[/tex]

For the total cost:

[tex]T=130 +0.25m[/tex]

For the domain:

The value of m is the domain and it can be chosen from 0 to 130.

Domain (m) = [0, 130].

For the range:

A range represents the minimum and maximum value of a data set.

Thus, the value of T would be between 130 and 230.

Range = [130, 230].

For the intercept:

when x = 0, we have:

[tex]y=130 +0.25(0)[/tex]

y = 130.

Intercept = [0, 130]

Read more on word problems here: https://brainly.com/question/13170908

Answer:

given functions:

[tex]\sf f(x)=x^2+3x-7[/tex]

[tex]\sf g(x)=3x+5[/tex]

[tex]\sf h(x)=2x^2-4[/tex]

solving steps:

(a)

[tex]\sf f(g(x))[/tex]

[tex]\sf \sf f(3x+5)[/tex]

[tex]\sf (3x+5)^2 + 3(3x+5)-7[/tex]

[tex]\sf 9x^2+30x+25+9x+15-7[/tex]

[tex]\sf 9x^2+39x+33[/tex]

(b)

[tex]\sf h(g(x))[/tex]

[tex]\sf h(3x+5)[/tex]

[tex]\sf 2(3x+5)^2-4[/tex]

[tex]\sf 18x^2+60x+50-4[/tex]

[tex]\sf 18x^2+60x+46[/tex]

(c)

[tex]\sf (h-f)(x)[/tex]

[tex]\sf 2x^2-4-(x^2+3x-7)[/tex]

[tex]\sf 2x^2-4-x^2-3x+7[/tex]

[tex]\sf x^2-3x+3[/tex]

(d)

[tex]\sf (f+g)(x)[/tex]

[tex]\sf x^2 + 3x -7 +3x+5[/tex]

[tex]\sf x^2+6x-2[/tex]

Answer:

x = 28°

Given:

using sine rule:

[tex]\hookrightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(x) = \dfrac{15}{32}[/tex]

[tex]\hookrightarrow \sf x = sin^{-1}(\dfrac{15}{32})[/tex]

[tex]\hookrightarrow \sf x = 28^{\circ \:}[/tex]

[tex]\\ \rm\Rrightarrow sinX=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sinX=\dfrac{15}{32}[/tex]

[tex]\\ \rm\Rrightarrow sinX=0.47[/tex]

[tex]\\ \rm\Rrightarrow X=sin^{-1}(0.47)[/tex]

[tex]\\ \rm\Rrightarrow X=28.03[/tex]

Answer:

x = 1/3

Step-by-step explanation:

First distribute the 2 to the (x + 3) and get 3x-2x-6 = 4x - 7.

Combine like terms and get x- 6 = 4x - 7.

Subtract x from either side and get -6 = 3x - 7

Now add 7 to both sides and get 3x = 1

Now divide 3 from both sides and get x = 1/3

The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies

The point of intersection is the equilibrium point of both companies.

This means that, the point represents where the number of copies and the total cost per month for both companies is equal

Hence, the information given by the point of intersection of the two lines is (d)

Read more about point of intersection at:

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Answer:

if im correct the answer should be 5 x 10

Step-by-step explanation:

Answer:

i have no idea i think its 0.5 or 12

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

Hi!

Reason being: 183-3=180. Also, 180+3=183.

Hope this helps!

Yours Truly,

Answer:

50336

Step-by-step explanation:

The cost deprecates by 12% each year. If we have to find how much it deprecated for 2 years, we will have to calculate how much is 12% of the current price, subtract it, then find how much is 12% equal to again and subtract it once again. Not sure if that's the smartest way to do it though.
Anyway, we have
65000, 12% of 65000 is equal to (65000 * 12) / 100 = 650 * 12 = 7800
After the first year, the price will be:
65000 - 7800 = 57200

Now we do the same thing:
12% of 57200 = 57200 * 12% = 57200 * 12/100 = 57200 / 1 * 12/100 = (57200 * 12) / 100 * 1 = 572 * 12 / 1 = 572 * 12 = 6864
After the second year the price will be:
57200 - 6864 = 50336

Hello there! Allow me to help you!

|| ▼ Answer ▼ ||

4.9 miles

|| ✪ Solution ✪ ||

Step 1:

In this question, we are given the following:

Josiah wants to ride his bicycle 42.5 miles this week.

He has already ridden 18 miles. If he rides for 5 more days,

what is the average number of miles he would have to ride each day to meet his goal?

Step 2:

The details of the solution are as follows:

Total distance = 42. 5 miles

Distance ridden = 16 miles

Number of days left = 5 days

Let the number of miles that'll be ridden for each day be represented by x.

Hence, we have that,

[tex]5x+18=42.5[/tex]

[tex]5x=42.5-18[/tex]

[tex]5x=24.5[/tex]

Divide both sides by 5 we have that,

[tex]x=\frac{24.5}{5}[/tex]

[tex]x=4.9[/tex]

CONCLUSION:

The average number of miles he would have to ride each day to meet his goal =  4.9 miles

Hope this helps!

If you have any questions please ask.



The required average miles for him to ride for 5 days is 4.9 miles per day.

Given that,
Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
he rides for 5 more days, what is the average number of miles he would have to ride each day to meet his goal is to be determined

The average of the values is the ratio of the total sum of values to the number of values.

Here,
Josiah wants to ride his bicycle for a total of 42.5 miles,
he rides for 18 miles by now,
Remaining miles to ride = 42.5 - 18 = 24.5 miles
For 5 day is must ride for average = 24.5 / 5 = 4.9 miles per day.

Thus, the required average miles for him to ride for 5 days is 4.9 miles per day.

Learn more about average here:

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#SPJ2

Answer:

Step-by-step explanation:

49 is a rational number.

Hope this helps:)

Answer:

500 bees

Step-by-step explanation:

The initial value is the y-intercept, where a point crosses the y-axis when x=0.

(0, x) = (0, 500)

Hope this makes sense :]

There are 500 bees in the population when it is first measured.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Every week, a bee population is counted, and the findings are illustrated on the given graph.

According to the given graph, the initial value is the y-intercept, where a point intersects the y-axis when x = 0.

(0, x) = (0, 500)

This means the bee population is 500 when it is first measured.

Learn more about exponential function here:

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a= v-u/t

3 = v-0/6

3 = v/6

v=18 m/s

Answer:

A≈314.16

Step-by-step explanation:

a circle's diameter is 2 x radius

20/2 = radius

Area formula: A=πr^2

A=π 10^2

A≈314.16

Answer:

Step-by-step explanation:

x^3 + 3x^2 - 10x

~Factor

x(x - 2)(x + 5)

Solve for the zero.

x(x - 2)(x + 5) = 0

We know that; x = 0, x - 2 = 0, and x + 5 = 0

x = 0

x - 2 = 0

x = 2

x + 5 = 0

x = -5

Best of Luck!

Here we are provided with an polynomial of degree 3 and we have to factorise it first and then we have to compute it's zeroes.

Given Polynomial:

Taking common x from all the 3 terms,

➝ x(x² + 3x - 10)

Factorising through Middle term factorisation,

➝ x(x² + 5x - 2x - 10)

➝ x{x(x + 5) - 2(x + 5)}

➝ x(x - 2)(x + 5)

Hence, Factorised !!

Now equating to 0 to find the zeroes of the poly.

➝ x(x - 2)(x + 5) = 0

That means,

So, the zeroes of the polynomial is 0, 2 or -5

And we are done....

Carry On Learning [tex]![/tex]

Sorry I was wrong I searched up the wrong one but I would go with option C

Answer:

Animals help pollinate flowers by eating them and depositing the seeds in different areas.

Answer:

D

Step-by-step explanation:

Answer: 9.77 cm

Step-by-step explanation:

The volume of the box is length x width x height (V = l*w*h). The area of the lid of the box is the length x width (A = l*w). So, to find the height, you can change the equation to volume / (length x width) = height (V/(l*w) = h). Divide the volume by the area (420/43), to get the answer of 9.77 cm.

Answer:

The probability of a negative is 0.64 but the probability of a positive is 0.36

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

39 inches

Step-by-step explanation:

Perimeter is found by adding the sides of the object together.

10in. + 14in. + 15in. = 39in.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO