10. Silas has 5 1/4 cups of flour. He uses 3 1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2 3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need? a Yes, he has 1 cup left. B No, he needs 1 cup more. c Yes, he has 1 cup left. 0 No, he needs 1 cup more.​

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Answer:

  3 < x < 6

Step-by-step explanation:

Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.

  P = 2(L +W)

  P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify

The perimeter wants to be between 38 and 74 cm, so we have ...

  38 < 12x +2 < 74

  36 < 12x < 72 . . . . . subtract 2

  3 < x < 6 . . . . . . . . . divide by 6

_____

Additional comment

Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.

Here, our first step was to subtract 2 from all parts of the inequality:

  38 -2 < 12x +2 -2 < 74 -2   ⇒   36 < 12x < 72

The division by 12 worked the same way: all parts are divided by 12.

  36/12 < (12x)/12 < 72/12   ⇒   3 < x < 6

__

If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.

Answer:

• For y-intercept [ x = 0 ]

[tex]{ \rm{y = - 2x - 21}} \\ \\ { \rm{y = ( - 2 \times 0) - 21}} \\ \\ { \rm{y = - 21}} \\ \\ { \boxed{ \rm{ \: y - intercept : \: (0, \: - 21) \: }}}[/tex]

• For x-intercept [ y = 0 ]

[tex]{ \rm{y = - 2x - 21}} \\ \\ { \rm{0 = - 2x - 21}} \\ \\ { \rm{2x = - 21}} \\ \\ { \rm{x = - 10.5}} \\ \\ { \boxed{ \rm{x -intercept : \: ( - 10.5, \: 0) \: }}}[/tex]

Answer:

I hope you got it right!! :)

Step-by-step explanation:

Answer:The percent increase is 20%.

Step-by-step explanation:

It's fairly simple.

Multiply 10 by (100/10) which is 10 to get 100.

Multiply 12 by 10 to get 120.

120 - 100 = 20

Answer:

y = -9/11x - 28/11

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - (-5) / -8 - 3

9/-11

= -9/11

y = -9/11x + b

4 = -9/11(-8) + b

4 = 72/11 + b

-28/11

Answer:

2.22

Step-by-step explanation:

It looks like the given equation says

[tex]xy^8 + e^{y/5} = e[/tex]

When x = 0, you have

[tex]0\cdot y^8 + e^{y/5} = e \\\\ e^{y/5} = e^1 \\\\ \dfrac y5 = 1 \\\\ y=5[/tex]

Differentiating both sides with respect to x gives

[tex]\left(xy^8 + e^{y/5}\right)' = e' \\\\ \left(xy^8\right)' + \left(e^{y/5}\right)' = 0 \\\\ x\left(y^8\right)' + x'y^8 + e^{y/5}\left(\dfrac y5\right)' = 0 \\\\ 8xy^7y' + y^8 + \dfrac15e^{y/5}y' = 0[/tex]

That is, the derivative operator distributes over sums, and the derivative of a constant is 0; apply the product rule on the first term and chain rule on the second; then use chain rule one more time.

Now plug in x = 0 and y = 5, and solve for y' :

[tex]8\cdot0\cdot5^7y' + 5^8 + \dfrac15e^{5/5}y' = 0 \\\\ 5^8 + \dfrac15e y' = 0 \\\\ \dfrac15e y' = -5^8 \\\\ y' = \boxed{-\dfrac{5^9}e}[/tex]

Answer:

3/4 in decimal form= 0.375

have a nice day <3

[tex] \frac{3}{8} [/tex]

the decimal form

to convert to decimal just divide the numerator by the denominator.

[tex] \frac{3}{8} [/tex]

[tex] = 0.375[/tex]

[tex]1sf = 0.4[/tex]

Answer:

B

Step-by-step explanation:

if the number of chocolate changes the number of calories changes too

give brainlest if correct thank you :)

12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.

-2pi, -4.5, -3 5/6 , -8/3 , square root of 16

negative numbers are weird and go down greast to least and the square root of 16 is simply 4

Answer:

a = 3 , b = 5

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

Answer:

3 3/4

Step-by-step explanation:

cause its easy

Answer:

that's alot but no english speak english it is long

Answer:

(x+2)(x+5)

Step-by-step explanation:

Answer:

Note that I put an answer for everything not just the ones you left blank.

(+14) + (+9) = +23

(+6) + (-13) = -7

(-4) + (+1) = -3

(-6) + (+10) = +4

(+14) + (+4) = +18

(0) + (+15) = +15

(0) + (-9) = -9

(+1) + (+24) = +25

(+3) + (-14) = -11

(-24) + (+14) = -10

(+17) + (+14) = +31

(+23) + (+14) = +37

(+14) + (+9) = +23

(+21) + (+21) = +42

(-3) + (+4) = +1

Step-by-step explanation:

(Just a friendly heads-up, you don't have to keep putting the + sign in front of the positive numbers. Numbers without any sign, automatically mean they're positive. It's the negative signs that you need to place a sign.)

Hope this helped :)

Answer:

-38 + x = -21

Step-by-step explanation:

Since we don't know the number that -38 is being added to, we can suplement it in the equation with x.

Answer:

B (-3,3)

Step-by-step explanation:

coordinates are x,y and h has -3x and 3y

Answer:

8

Step-by-step explanation:

if it's saying that 32/52 is equal to x/13, then we know that 32/52 is divisible by the mystery fraction.

since both fractions have a denominator, divide them.

52÷13=4

then, divide the answer, 4, by 32.

32÷4=8.

therefore, your answer is 8.

hope this helps!

Answer:

8

Step-by-step explanation:

A trick with equal fractions will be that the cross multiply will create equal answers

13(32) = 52(?)

To find the missing number, just divide the known product by the missing number's multiplicand.

? = 13(32)/52 = 8

To verify

13(32) = 416

52(8) = 416

Yup!

Answer:

All you have to do is divide 896 ÷ 32 which is 28 and multiply is by 3 since its 3 more nights and the answer is 84 centimeters.

Answer:

VU, VT, TU

Step-by-step explanation:

List the side lengths of triangle TUV from shortest to longest.

A. VU, VT, TU

B. VT, TU, VU

C. VT, VU, TU

D. VU, TU, VT"

Answer:

35

Step-by-step explanation:

Using the definition of n[tex]C_{r}[/tex]

with n = 7 and r = 3

7[tex]C_{3}[/tex]

= [tex]\frac{7!}{(7-3)!3!}[/tex]

= [tex]\frac{7!}{4!(3!)}[/tex]

= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator

= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]

= [tex]\frac{210}{6}[/tex]

= 35

Answer:

See explanation.

Step-by-step explanation:

0. 333... is 1/3

0.16 is 1/6

0.666... is 2/3

0.83 is 5/6

brainliest please. . .

Answer:

1. 61/100

2. 3 43/100

3. 9/1000

4. 4 7/10

5. 1 1/2

6. 13/100

7. 5 1/500

8. 21/1000

Answer:

Example 1 is 25%

Example 2 is 3.5%

Example 3 could be $10,464.41  See attached.

Step-by-step explanation:

Example 1

An increase of sales to $9,500 is an increase of:

Sales increase = ($9,500 - 7,600) / $7,600

Sales increase = .25, or 25%

Assuming costs and assets increase proportionally, the pro forma financial statements will look like this:

Pro forma income statement Pro forma balance sheet

Sales $ 9,500.00 Assets $ 23,875.00 Debt $ 7,000.00

Example 2.

Return on equity (ROE) is a measure of financial performance calculated by dividing net income by shareholders' equity. Because shareholders' equity is equal to a company’s assets minus its debt, ROE is considered the return on net assets. ROE is considered a gauge of a corporation's profitability and how efficient it is in generating profits.

Example below given on 2nd example is 60% payout ratio type question with constant debt equity ratio.

Return on equity 34008 / 90400 = 0.37619469

A / S = $ 34,008 / $ 90,400 = 37.6%

L / S = $ 9,040 / $ 90,400 = 10%

Change in Sales or ΔSales = $ a - $ 90.400 = $ b

EFN = (.376 x $ b) - (.10 x $ b ) - ((profit margin x $ a) x (1 - .dividend payout ratio))

Formula EFn = 0 = full subtraction of EFN

Example 3 - Calculation of the EFN:

Total Assets last year = $ 6.5 Million

Total Sales last year = $ 21.0 Million

Total Current Liabilities last year = $ 2.1 Million

Profit Margin = 4% of sales

Forecasted Sales = $ 24.5 Million

Dividend Payout Ratio or d = 60%

A / S = $ 6.5 / $ 21.0 = 31%

L / S = $ 2.1 / $ 21.0 = 10%

Change in Sales or ΔSales = $ 24.5 - $ 21.0 = $ 3.5

EFN = (.31 x $ 3.5) - (.10 x $ 3.5) - ((.04 x $ 24.5) x (1 - .60))

EFN = $ 1.085 - $ .35 - ($ .98 x .40)

EFN = $ .735 - $ .392

EFN = $ .343

Answer:

Divide both -3/4y and -6 by -3/4 to solve for y.

Answer is: y=8

Finally a question I know how to do!

Answer:

The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%