Rewrite in simplest terms: 4(-5u +3) – 4(8u - 1)

Answer:

The number of printers for type A = x = 80 printers

The number of printers for type B = y = 60 printers

Step-by-step explanation:

Let the number of printers for type A = x

Let the number of printers for type B = y

You can order no more than 140 printers this month

x + y ≤ 140

x + y = 140

x = 140 - y

Profit for type A = $25

Profit for type B = $11

You need to make at least $2660 profit

25x + 11y ≥ 2660

25x + 11y = 2660

Substitute 140 - y = x

25(140 - y ) + 11y = 2660

3500 - 25y + 11y = 2660

3500 - 2660 = 25y - 11y

840 = 14y

y = 840/14

y = 60 printers

x = 140 - y

x = 140 - 60

x = 80 printers

To minimize cost :

The number of printers for type A = x = 80 printers

The number of printers for type B = y = 60 printers

Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

Answer:

i am pretty sure it would be 8

Step-by-step explanation:

when it rounds to 2 but also rounds to 100, 8 would be the best bet.

Answer:

20°

Step-by-step explanation:

Step 1:

x + 40° = 3x       Vertical ∠'s

Step 2:

40° = 2x      Subtract x on both sides

Step 3:

x = 40° ÷ 2     Divide

Answer:

x = 20°

Hope This Helps :)

Answer:

10%

Step-by-step explanation:

(a) What percentage of meals had less than 10 grams of fat?

(b) Round your answer to the nearest tenth of a percent.

To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.

(A) Total number of meals = 550

Number of meals having less than 10 grams of fat = 77

Percentage of meals having less than 10 grams of fat = 77/550 × 100

= 0.14 × 100 = 14%

(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').

The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%

Answer:

A) The height of the trapezoid is 6.5 centimeters.

B) We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex].  [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex]

C) The length of the other base of the trapezoid is 20 centimeters.

D) We can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. [tex]b = \frac{A}{h}[/tex]

Step-by-step explanation:

A) The formula for the area of a trapezoid is:

[tex]A = \frac{1}{2}\cdot h \cdot (b_{1}+b_{2})[/tex] (Eq. 1)

Where:

[tex]h[/tex] - Height of the trapezoid, measured in centimeters.

[tex]b_{1}[/tex], [tex]b_{2}[/tex] - Lengths fo the bases, measured in centimeters.

[tex]A[/tex] - Area of the trapezoid, measured in square centimeters.

We proceed to clear the height of the trapezoid:

1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.

2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.

3) [tex]2\cdot A\cdot (b_{1}+b_{2})^{-1} = (2\cdot 2^{-1})\cdot h\cdot [(b_{1}+b_{2})\cdot (b_{1}+b_{2})^{-1}][/tex] Compatibility with multiplication/Commutative and associative properties.

4) [tex]h = \frac{2\cdot A}{b_{1}+b_{2}}[/tex] Existence of multiplicative inverse/Modulative property/Definition of division/Result

If we know that [tex]A = 91\,cm^{2}[/tex], [tex]b_{1} = 16\,cm[/tex] and [tex]b_{2} = 12\,cm[/tex], then height of the trapezoid is:

[tex]h = \frac{2\cdot (91\,cm^{2})}{16\,cm+12\,cm}[/tex]

[tex]h = 6.5\,cm[/tex]

The height of the trapezoid is 6.5 centimeters.

B) We should follow this procedure to solve the formula for [tex]b_{1}[/tex]:

1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.

2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.

3) [tex]2\cdot A \cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot (b_{1}+b_{2})[/tex] Compatibility with multiplication/Commutative and associative properties.

4) [tex]2\cdot A \cdot h^{-1} = b_{1}+b_{2}[/tex] Existence of multiplicative inverse/Modulative property

5) [tex]\frac{2\cdot A}{h} +(-b_{2}) = [b_{2}+(-b_{2})] +b_{1}[/tex] Definition of division/Compatibility with addition/Commutative and associative properties

6) [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex] Existence of additive inverse/Definition of subtraction/Modulative property/Result.

We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex].

C) We can use the result found in B) to determine the length of the remaining base of the trapezoid: ([tex]A= 215\,cm^{2}[/tex], [tex]h = 8.6\,cm[/tex] and [tex]b_{2} = 30\,cm[/tex])

[tex]b_{1} = \frac{2\cdot (215\,cm^{2})}{8.6\,cm} - 30\,cm[/tex]

[tex]b_{1} = 20\,cm[/tex]

The length of the other base of the trapezoid is 20 centimeters.

D) Yes, we can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. Now we present the procedure to clear [tex]b[/tex] below:

1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.

2) [tex]b_{1} = b_{2}[/tex] Given.

3) [tex]A = \frac{1}{2}\cdot h \cdot (2\cdot b)[/tex] 2) in 1)

4) [tex]A = 2^{-1}\cdot h\cdot (2\cdot b)[/tex] Definition of division.

5) [tex]A\cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot b[/tex] Commutative and associative properties/Compatibility with multiplication.

6) [tex]b = A \cdot h^{-1}[/tex] Existence of multiplicative inverse/Modulative property.

7) [tex]b = \frac{A}{h}[/tex] Definition of division/Result.

Answer:

4 students got three answers incorrectly.

The number of students got 3 answers incorrect is 4.

A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Now from the given histogram following informations are extracted-

Number of students got 1 answer incorrect = 2

Number of students got 2 answer incorrect = 3

Number of students got 3 answer incorrect = 4

Number of students got 4 answer incorrect = 1  

Number of students got 5 answer incorrect = 2

Thus from above we can conclude that,

Number of students got 3 answer incorrect = 4

Thus, the number of students got 3 answers incorrect is 4.

To learn more about histogram :

brainly.com/question/1593386

#SPJ2

Answer:

that what

Step-by-step explanation:

Answer:

if your proportion is  [tex]\frac{2}{x}[/tex] = [tex]\frac{18}{15y}[/tex]  then your answer would be 1.667 or 1 [tex]\frac{2}{3}[/tex]

edit: your answer could also be [tex]\frac{5}{3}[/tex]

Answer:

The population will reach 980,000 in 26 years approximately.

Step-by-step explanation:

Initial Population of city = 490000

Rate of increase in population = 2.75%

We are supposed to find Approximately when  will the population reach 980,000

Formula : [tex]N(t)=N_0(1+r)^t[/tex]

N(t)= population after t years

[tex]N_0=[/tex] Initial population

t - time

r = rate of interest in decimals

So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]

t=25.55

So, the population will reach 980,000 in 26 years approximately.

Answer:

-(-4)(-6)*3/5(10+15)

when there is a (-) in front of an expression in parentheses, change the sing of each term in the expression.

4*(-6)*3/5*(10+15)

Add the numbers (10+15)

4(-6)*3/5*25

multiplying an odd number of negative terms makes the product negative

-4*6*3/5*25

reduce the number with the greatest common factor 5

-4*6*3*5

calculate the product

solution

-360

Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl

Answer:

3 over 100

Step-by-step explanation:

Answer:

The correct answer is D. 37.975.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

For the one on the left I got 234 and the one on the right I got 248

Answer:

not sure what you need but I would be happy to help

Answer:

8 quarts

Step-by-step explanation:

no explanation needed this should be correct.

Answer:

x = 9°

y = 119°

Step-by-step explanation:

Given,

y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}

or, y° = 119°

therefore, y° = 119°

Now,

52°+y°+x° = 180°{the sum of angle if triangle is 180°}

or, 52°+119°+x°= 180°

or, 171°+x° = 180°

or, x° = 180°-171°

or, x° = 9°

therefore, x° = 9°

Answer:

3.5

Step-by-step explanation:

If there are 9 students total and the ratio is 2:7 for walk home to ride bus then the answer would you would divide 2 from 7 which can be written as 7/2 then you would get your answer. Plus if the question says how many times the number... that means division:).

HOPE THIS HELPS!!:)

Answer:

(6,11)

I can confirm that this question is right.

12/2      22/2

(6   ,        11)

Answer:

You're right!

Step-by-step explanation:

Answer:

Were you right?

Step-by-step explanation:

Answer:

Cash it at the issuing bank (this is the bank name that is pre-printed on the check)

Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)

Cash the check at a check-cashing store.

Deposit at an ATM onto a pre-paid card account or checkless debit card account.

Step-by-step explanation:

Answer:

Amscot?

Step-by-step explanation:

Answer:

There is something wrong with the question because you cannot earn more interest during a year than the principal if you earn only 9% or 11%. You would have to earn more than 100%, so I will do this calculation based on $17,170 (not $171,700) earned in interest per year.

let S = amount received from short term note, and L = amount received from long term note

0.11S + 0.09L = 17170

S + L = 170000

S = 170000 - L

0.11 (170000 - L) + 0.09L = 17170

18700 - 0.11L + 0.09L = 17170

1530 - 0.02L = 0

1530 = 0.02L

L = 1530 / 0.02 = $76,500

S = 170000 - 76500 = $93,500

Answer:

z=2

Step-by-step explanation:

Just solve

1 + z = 3 (minus 1 on both sides)

z = 2

Plug in

3=(2+1)

3 = 3

Answer:

2 2/3 or 8/3

Step-by-step explanation:

Formula for each side = 2/3 x 2/3

2/3 x 2/3 = 4/9

6 sides

4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9

=2 2/3 or 8/3

Answer:

2 2/3

Is the answer

Answer:

a) 15.866%

b) Middle 95% = 350 ml to 750 ml

c) 0.3829

d) Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.

Required:

a. What percent of men have a bladder volume smaller than 450 ml?

z = 450 - 550/100

= -1

P-value from Z-Table:

P(x<450) = 0.15866

Convert to percentage

0.15866 × 100

= 15.866%

b. Between what volumes do the middle 95% of men’s bladders fall?

Middle 95% falls between 2 standard deviation of the mean

μ ± 2σ

μ - 2σ

550 - 2(100)

= 550 - 200

= 350 ml

μ + 2σ

= 550 + 2(100)

= 550 + 200

= 750 ml

Middle 95% = 350 ml to 750 ml

c. What proportion of male bladders are between 500 and 600 ml?

For 500ml

z = 500 - 550/100

= -0.5

Probability value from Z-Table:

P(x = 500) = 0.30854

For 600ml

z = 600 - 550/100

= 0.5

Probabilty value from Z-Table:

P(x = 600) = 0.69146

Proportion of male bladders are between 500 and 600 ml

P(x = 600) - P(x = 500)

0.69146 - 0.30854

= 0.38292

≈ 0.3829

d. What volumes do the middle 90% of men’s bladder fall?

The z score for middle 90% + / – 1.645

Hence,

1.645 = x - 550/100

1.645 × 100 = x - 550

164.5 + 550 = x

x = 714.5 ml

-1.645 = x - 550/100

-1.645 × 100 = x - 550

- 164.5 + 550 = x

x = 385.5ml

Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml