The designers of drink cartons must consider the length of the straw required so that it will reach the bottom
of the carton. We will make the following assumptions:
-the straw must stick out of the carton by an additional 1.5 cm
-the hole is at one vertex of the carton
-the straw must be able to reach into the diagonally opposite corner of the base of the carton
use the formula a^2+b^2+c^2=d^2
CHECK IMAGE FOR VISUAL REPRESENTATION OF THE CARTON

Answer: 288 feet

Step-by-step explanation:

Length of drawing = 12 inches

Actual length = 12 × (4/2)feet = 24 feet

Width if the drawing = 6 inches

Actual width = 6 × (4/2)feet = 12 feet

The area of the actual room will be gotten by multiplying the dimensions. This will be:

= 24 feet × 12 feet

= 288 feet

Answer:

Let us arrange this data in ascending order.

2, 15, 16, 29, 31, 40.

x has to be in the middle if it is the median.

So it becomes 2, 15, 16, x, 29, 31, 40.

There are seven numbers. The median is the 4th one.

The median is given as 21.

So x = 21.

HOPE IT HELPS YOU, PLS MARK IT AS THE BRAINLIEST :D

Given:

Louisa has a goal of collecting 100 pounds of dog food for a local shelter.

The table of values which represents the number of pounds of food she collects each week.

To find:

The number of more pounds of dog food Louisa need to reach her goal.

Solution:

For first week = 20.5 pounds

For second week = [tex]18\dfrac{3}{4}=18.75[/tex]

For third week = 32.75

Now,

[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]

[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]

Therefore, the correct option is C.

#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26

Answer:

80%

Step-by-step explanation: Because if 20% of 250 equal 50 then 200 is 80% because adding 4 50 is 200.

Answer:

80%

Step-by-step explanation:

what ever he /she said

Answer:

m=-8

Step-by-step explanation:

14m-7m=-56

7m=-56

m=-8

i think... :)

Answer:

m=-8

Step-by-step explanation:

14m-7m= -56 -----> Combine like terms

7m=-56 ------> Divide -56 by 7

m= -8

Answer:

2187

Step-by-step explanation:

you multply 3 7 times

Answer: math......way

Answer:

24 buses.

Step-by-step explanation:

10 minutes equals 4 buses.

There is a total of 60 minutes, so 60 ÷ 10 = 6.

Then 4 × 6 = 24 buses.

Answer:

.00963

Step-by-step explanation:

Since its 10^-3, the decimal point moves to the left 3 times. hope this helped :)

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

The scale that Darnell used is required.

The scale that Darnell used is 1 inch equals 5 feet.

The length of the actual garden is 20 feet.

The scale drawing is 4 inches long

[tex]20\ \text{feet}=4\ \text{inches}[/tex]

Since, we are finding the inches to feet we divide the expression by [tex]4[/tex]

[tex]\dfrac{20}{4}\ \text{feet}=1\ \text{inch}[/tex]

[tex]1\ \text{inch}=5\ \text{feet}[/tex]

Learn more about scale diagrams:

https://brainly.com/question/25324744

Answer:

A

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

horizontal is left and right

Answer:

it could be (x - 2)^2 + (y - 4) ^2 = 6

Step-by-step explanation:

because the first 2 blanks are the coordinates of the center and the last one should be the radius. as long as u know the radius then u should know the last part

(x - 2)^2 + (y - 4) ^2 = 6

your welcome!

Step-by-step explanation:

Factors

hope it helpful

Answer:

Jana=10, twins=8, yuvi=6

Step-by-step explanation:

it's the only possible answer,as we know yuvi is older than 5 so let's just say she is 6 then the twins are 2 years older=8 and we know that and is less then 11 so that would be 10

Answer:

You have to find slope by doing rise over run. Which is y2-y1 over x2-x1.

Step-by-step explanation:

The percentages, from left to right, are:

1) 56.25%

2) 18.75%

3) 18.75%

4) 6.25%

In this case, the 100% is 16.

We know that there are 9 individuals with black fur and black eyes, so we can write the equations:

100% = 16

X% = 9

We want to find the percentage X%. By combining these equations we get:

X% = (9/16)*100% = 56.25%

Now we can use the same equations for the other genotypes.

There are 3 units with black fur and red eyes, here the percentage is:

p = (3/16)*100% = 18.75%

There are 3 units with white fur and black eyes, so the percentage is:

p = (3/16)*100% = 18.75%

There is 1 unit with white fur and red eyes, so the percentage is:

p = (1/16)*100% = 6.25%

If you want to learn more about percentages:

https://brainly.com/question/843074

#SPJ1

Answer:

25 = y

Step-by-step explanation:

We know that x = 4/5 y

20 = 4/5 y

Multiply each side by 5/4

5/4 * 20 = 5/4 * 4/5 y

25 = y

Answer:

x=2

Step-by-step explanation:

So you make the equation equal. f(x)=10 so you would put it as 10=4x+2, than you subtract two from both sides making it 8=4x and than divide both sides by 4 making it 2=x.

Answer:

[tex]\boxed {\boxed {\sf x=2}}[/tex]

Step-by-step explanation:

We know that:

[tex]f(x)=4x+2 \\f(x)= 10[/tex]

Both 4x+2 and 10 are equal to f(x). We can use substitution and set 4x+2 and 10 equal to each other.

[tex]4x+2=10[/tex]

Now, solve for x. Perform the inverse operations to isolate x on one side of the equation.

2 is being added to 4x. The inverse of addition is subtraction. Subtract 2 from both sides of the equation.

[tex]4x+2-2=10-2[/tex]

[tex]4x=10-2 \\[/tex]

[tex]4x=8[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{4x}{4} =\frac{8}{4}[/tex]

[tex]x=\frac{8}{4}[/tex]

[tex]x=2[/tex]

For the function f(x)= 4x+2, when f(x)=20, x=2

Answer:

the answer is A

Step-by-step explanation:

they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A

Answer:

C.) 35

Step-by-step explanation:

Supplementary angles equal 180, therefore, the opposite side of both the angles 90 and 125, must be 180 minus that value.

180-125=55

180-90=90

Now we know that the two inside angles equal 55 and 90. Together, that's 145.

Since all the angles within a triangle equal 180, we subtract the two other angles to find p.

180-145=35

Answer: -10, -7, -5, -2, -1, 3, 4, 8, 9

Step-by-step explanation:

Answer:

Conclusion:

Both sets represent the function.

Step-by-step explanation:

For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function

h (age) = age × 10

Thus, if the age of the plant is 2 years, the height is:

h(10) = 2 × 10 = 20 cm

Set P

P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are 6, 3, -9, and -5.

Thus, there are no duplicated inputs or x-values.

Set Q

Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are -7, 4, -3, and 1.

Thus, there are no duplicated inputs or x-values.

Conclusion:

Both sets represent the function.

Answer:

0.07m + 30 = 59.40

Mr Gonzalez used 420 minutes last month

Step-by-step explanation:

To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.

Then, add 30 to this to represent the monthly fee:

0.07m + 30

Lastly, set this equal to 59.40 because that was his total bill for the month:

0.07m + 30 = 59.40

So, the equation for the situation is 0.07m + 30 = 59.40

Solve for m in the equation:

0.07m + 30 = 59.40

0.07m = 29.40

m = 420

So, Mr Gonzalez used 420 minutes last month.

Answer:59.40

Step-by-step explanation:

Answer:

y=5x+12

Step-by-step explanation:

Starting with the components of slope intercept form y=mx+b

m is you rate of change and b represents your y intercept

This would give you in your case y=5x+b, but we still need to solve for b.

So given your (x,y) point you plug it into y=5x+b giving you:

-3 = 5 (-3) + b

then some easy multiplication and addition

-3 = -15 + b

get the constant on the oppisite side of your variable b

-3 + 15 = -15 + 15 + b

This results in b = 12

Now rewrite the formula with b = 12

Which TADA! gives you

y = 5x + 12

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

4/5=8/10, therefore the answer is 4

Answer:

-8m

Step-by-step explanation:

Combine like terms

−

−

7

{\color{#c92786}{-m}}{\color{#c92786}{-7m}}

−m−7m

−

8

{\color{#c92786}{-8m}}

−8m