Find the value of |5| - 4(32 - 2).

Answer:

250S + 600L > 4000

240S + 700L > 5000

Step-by-step explanation:

It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.

Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

Write an inequality that represents the condition based on the number of grams of pasta.

Write an inequality that represents the condition based on the number of milliliters of sauce.

Scenario 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S =the number of batches of spaghetti he makes

L =the number of batches of lasagna he makes.

We have, inequality based on the number of grams of pasta

250S + 600L > 4000

Scenario 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S= the number of batches of spaghetti he makes

L= the number of batches of lasagna he makes.

We have, inequality based on the number of milliliters of sauce

240S + 700L > 5000

The two inequalities are:

250S + 600L > 4000

240S + 700L > 5000

Answer:

the answer is D

Answer:

[tex]\huge \boxed{16}[/tex]

Step-by-step explanation:

4 raised to 2 is 4 squared or 4 to the power of 2.

[tex]4^2 =4 \times 4 = 16[/tex]

Answer:

216

Step-by-step explanation:

When you say "6 raised to 3", it means you multiply 6, 3 times. Meaning:

6✖️6✖️6=216

Hope this helped!

Have a nice day:)

Answer:

99 in²

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

40 = 2(length) + 2(9)

40 = 2L + 18

40 - 18 = 2l

22 = 2l

L = 11

Area = length x width

Area = 9 x 11 = 99

99 square inches

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 360

Step-by-step explanation:

you multiply 40 and 9.

first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360

Answer:

It is c

Step-by-step explanation:

because five is bigger than zero

Answer:

Step-by-step explanation:

The arrow points to all values greater than 0. And the point at 0 is not filled in. So, the inequality represents everything strictly greater than 0.

[tex]\bf x > 0[/tex]

___________________

Hope this helps!

Have a great day!

Answer:

≈ 10.52 cm²

Step-by-step explanation:

The unshaded area is calculated as area of square subtract area of quarter circle, thus

A = 7² - [tex]\frac{1}{4}[/tex]πr²

   = 49 - ( 0.25π × 7²)

   = 49 - (0.25π × 49)

   = 49 - 12.25π

   ≈ 10.52 cm² ( to 2 dec. places )

Answer:10.5cm^2

Step-by-step explanation:

Area of the square = L^2 =(7) ^2=49cm^2

Radius of quadrant = 7cm

Area of the quadrant =1/4 x πr^2

1/4 x 22/7 x (7) ^2

1/4 x 22/7 x 49

=38.5cm^2

Area of unshaded part= area of square - area of quadrant

49cm^2 - 38.5cm^2

=10.5cm ^2

9.4 × [tex]10^{2}[/tex]

1) Move the decimal point 2 times to left in the number so that number, 940 so it's between 1-10: 9.4 or 9.40

2) After we moved our decimal point to the left, the decimal count would be 12 and that we moved 2 places to the left

3) We know that the notation is a x [tex]10^{b}[/tex]

a=9.4 and 6=2

9.4 × [tex]10^{2}[/tex]=a x [tex]10^{b}[/tex]

I hope I've helped!

Answer:

9.4x10^8

Step-by-step explanation:

940 million looks like

940,000,000. in scientific notation you would move the decimal left 8 spaces

Answer:

(p^2) + 3p - 18

Step-by-step explanation:

Have a nice day!

Answer:

2p+3

Step-by-step explanation:

(p+6)(p-3)

you have to open the brackets i.e

p+p+6-3

add p+p and you get 2p then you  subtract positive 6 from 3 and you get 3

so your answer will be 2p+3

Answer:

The answer is (3×7) + (12×2) .

[tex](3 \times 7) + (12 \times 2)[/tex]

[tex] = 21 + 24[/tex]

[tex] = 45[/tex]

Answer:

$17,000 at 14% and $9,000 at 2%

Step-by-step explanation:

Let x = amount invested at 14%.

Let y = amount invested at 2%.

x + y = 26000

0.14x + 0.02y = 2560

     -0.02x - 0.02y = -520

(+)    0.14x + 0.02y = 2560

-------------------------------------

       0.12x              = 2040

x = 17,000

x + y = 26000

17000 + y = 26000

y = 9000

Answer: $17,000 at 14% and $9,000 at 2%

Answer:

It's False Because Hypotenuse will be the longest side of leg here

Answer:

Part 1: Find w

w=15

Step-by-step explanation:

Part 1: Find w

Step 1:

3w+15=60. If this is true, then first: Subtract 15 from both sides.

Result: 3w=45

Step 2:

3w=45. If this is true, now: Divide by 3 to both sides.

Result/Answer: w=15.

Answer:

Part 2: If w=15, then what is 8w2+8w+9?

8w2+8w+9= Well I have 2 options. If you mean 8w^2+8w+9, then the answer is 14529. If you mean 16w+8w+9, then the answer is 369.

Answer:

Step-by-step explanation:

0 should never be used as a substitute for θ!

(√2/2, √2/2) = (cos(45°), sin(45°))

The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (√2/2, √2/2), is 45°.

The terminal point of a circle is defined as the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.

On a unit circle, the terminal point of θ is,

(√2/2, √2/2) = (cos(45°), sin(45°))

The value of theta at the terminal point (square root of 2/2, square root of 2/2) is 45 degrees.

Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (square root of 2/2, square root of 2/2) is 45°.

Learn more about the terminal point here;

brainly.com/question/4256586

#SPJ2

Answer:

selling prices =10% 10+150+15%=180

[tex]6x^2+12x=5x-2\\6x^2+7x+2=0\\6x^2+3x+4x+2=0\\3x(2x+1)+2(2x+1)=0\\(3x+2)(2x+1)=0\\x=-\dfrac{2}{3} \vee x=-\dfrac{1}{2}[/tex]

=(

2

1

)

2

+(

2

1

)

2

−1

2

=

2

−1

Therefore, L.H.S = R.H.S

Answer:

4 1/3

Step-by-step explanation:

3 + 5 + 4 + 3 + 5 + 6 = 26

26/6 = 4 2/6 (4 1/3)

Answer:

13/3

Step-by-step explanation:

To find the mean, add up all the numbers and divide by the number of terms

( 3+5+4+3+5+6) /6

26/6

Divide top and bottom by 2 to simplify the fraction

13/3

Answer:

Point A, B, and C are collinear points.

Step-by-step explanation:

When points lie on one line, meaning all of the points are on the same line --> this is known as collinear points.

Answer:

as per the statement we form an algebraic equation as

3(x+4) = 20

3x + 12 = 20

3x = 8

x = 8/3

as per my understanding that's the answer

Answer:

- 4x^2-15x

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x

Answer:

C = 35x pence

Step-by-step explanation:

1 pen costs 15 , thus x will cost 15x

1 ruler costs 20, thus x will cost 20x

Total cost (C) will then be

C = 15x + 20x = 35x pence

The total cost of pens and rulers, C = 35x pence

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Cost 1 pens is 15.

Then, cost for x pen is 15x

Cost of 1 ruler is 20

Then, cost of x ruler is 20x

So, the total cost is

= 15x + 20x

= 35x

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ2

Answer: A (3,10)

Source : i made it up

Answer:

97.85

I hope this helps!

Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Represent the maximum speed of Malcolm and Ravi with equation as follows:

Let Malcom's speed be x, and Ravi's speed by y.

The average of speed is said to be 260 km/h. An equation to represent this is: [tex] \frac{x + y}{2} = 260 [/tex]

[tex] x + y = 260*2 [/tex]

[tex] x + y = 520 [/tex] => equation 1.

We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is [tex] 2x = y + 80 [/tex]

[tex] 2x - y = 80 [/tex] => equation 2

Now that we have 2 equations as a system, solve for the values of x and y simultaneously.

Add both equations together to eliminate y

[tex] x + y = 520 [/tex]

[tex] 2x - y = 80 [/tex]

[tex] 3x = 600 [/tex]

[tex] x = \frac{600}{3} [/tex]

[tex] x = 200 [/tex]

Plug in the value of x into equation 1 to find y.

[tex] 200 + y = 520 [/tex]

[tex] y = 520 - 200 [/tex]

[tex] y = 320 [/tex]

Malcom's maximum speed = x = 200 km/h

Ravi's maximum speed = y = 320 km/h

Answer:

[tex]\frac{2(x+3)}{x+7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x^2-18}{x^2+4x-21}[/tex] ← factorise numerator and denominator

2x² - 18 ( factor out 2 from each term )

= 2(x² - 9) ← difference of 2 squares

= 2(x - 3)(x + 3)

and

x² + 4x - 21 = (x + 7)(x - 3) , then

= [tex]\frac{2(x-3)(x+3)}{(x+7)(x-3)}[/tex] ← cancel common factor (x - 3) on numerator/ denominator

= [tex]\frac{2(x+3)}{x+7}[/tex]

Hi, Laura! ;)

They want to know the center of a distribution. Another word for center is middle. When you have a set of numbers, you can find the middle by calculating the mean, the "average" of the data set.

1) Add all the numbers: 12,8 + 5,7 + 7,9 + 1,3 + 3,2 + 2,8 = 33,7

2) Divide the sum by the quantity of numbers, which is 6:  33,7 / 6 = 5,616

The closest number to 5,616 is 5,62.

==========================================================

Now let's answer your second question.

1) First step is to find out how many possible outcomes you have. It is the

number of raffle tickets in the box: 200.

2) Then, let's define the number of tickets that are prizes: 4 + 8 + 16 = 28.

The probability of selecting a prize ticket is the number of prize tickets divided by all the raffle tickets in the box: 28 / 200 = 0,14.

Now, let's practice Probability with another Brainly problem:

https://brainly.com/question/16447117

Good luck, Laura! :)

[tex]\\ \sf\longmapsto cos\theta=\dfrac{3}{\sqrt{13}}[/tex]

We know

[tex]\boxed{\sf sin^2\theta=1-cos^2\theta}[/tex]

[tex]\\ \sf\longmapsto \sin( \theta) = \sqrt{1 - { \cos}^{2} \theta } \\ \\ \sf\longmapsto \sqrt{1 - {( \frac{3}{ \sqrt{13} }) }^{2} } \\ \\ \sf\longmapsto \sqrt{1- \frac{ {3}^{2} }{ {( \sqrt{13)} }^{2} } } \\ \\ \sf\longmapsto \sqrt{1 - \frac{9}{13} } \\ \\ \sf\longmapsto \sqrt{\frac{13 - 9}{13} } \\ \\ \sf\longmapsto \sqrt{ \frac{4}{13} } \\ \\ \sf\longmapsto \frac{2}{ \sqrt{13} } [/tex]

Answer:

About 16 miles

The equation:

.75x+3.95

At 16 miles Katie will have spent $15.95.

Answer:

16 miles

Step-by-step explanation:

3.95 + .75m < 16

Subtract 3.95 from each side

3.95 -3.95+ .75m < 16-3.95

.75m < 12.05

Divide each side by .75

.75m/.75  < 12.05/.75

m <16.066666666

Rounding to the nearest mile

m < 16

Answer:

It's A

Step-by-step explanation:

The money earned is 160 in 7 hours

The money earned is 100 in 3 hours

The slope = change in money / change in time

The slope = (160 - 100 ) / (7 - 3) = 60/4 = 15 dollars / hour

The slope means that for every hour he earns 15 dollars.