E-
-
)
Simplify
-13-
.
o o
4

To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is

4 : 2 .

But this ratio can be simplified in the same way that two fractions can be simplified. We just

cancel by a common factor. So

4 : 2 = 2 : 1 .

Answer:

C.  80 miles.

Step-by-step explanation:

20 minutes is 1/3 of an hour so it travels 60 * 1/3 = 20 miles in 20 minutes.

Answer:

3) x = -4 and y = 6

4) x = -1 and y = 0

5) x = 1 and y = -3

6) x = -4 and y = -3

Step-by-step explanation:

3) Add the equations:

(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)

= 3y = 18

y = 18/3

y = 6

3x + 4(6) = 12

3x = 12 - 24

x = -12/3 = 4

4) Add the equations:

(-5x - 6y = 5) + (-6x + 6y = 6)

-11x = 11

x = -1

-5(-1) -6y = 5

-6y = 5 - 5

y = 0

5) 7x -4y = 19

10x - 2y = 16

Multiply the second equation by -2 to eliminate the y and add both equations.

-2(10x -2y = 16) =

(-20x + 4y = -32) + (7x - 4y = 19)

-13x = -13

x = 1

7(1) - 4y = 19

-4y = 19-7

y = 12/-4

y = 3

6) multiply the second equation by -2 to eliminate the x and then add the equations.

-2(5x - 3y = - 11) =

(-10x + 6y = 22) + (10x - 9y = - 13)

= -3y = 9

y = - 3

10x - 9(-3) = - 13

10x = -13 - 27

x = -40/10

x = -4

Answer:

- 1/4

Step-by-step explanation:

[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]

Answer: the sun is 389.015069067 times further away from earth to the moon

Step-by-step explanation: 92935700/238990=389.015069067

Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]

Answer:

yes

Step-by-step explanation:

3(8+4)

(3×8)+(3×4)

24+12

36

Answer:

Explanation is in a file

Step-by-step explanation:

The equation that represents the relation in this situation is: y = 3x + 8

The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).

This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).

Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?

Learn more about equations in: https://brainly.com/question/10724260
#SPJ3

Step-by-step explanation:

Given:

A. Find the value of one year

B.  Use the future value formula for simple interest to determine the effective annual yield

Answer:

A)  $9458.51

B)  5.09%  (2 d.p.)

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]

[tex]\implies \sf A=9000(1.0125)^4[/tex]

[tex]\implies \sf A=9458.508032...[/tex]

Therefore, the value of the account after 1 year is $9458.51.

Simple Interest Formula

A = P(1 + rt)

where:

Given:

Substitute the given values into the formula and solve for r:

[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]

[tex]\implies \sf 9458.51=9000(1+r)[/tex]

[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]

[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]

[tex]\implies \sf r=0.050945...[/tex]

[tex]\implies \sf r=5.0945... \%[/tex]

Therefore, the effective annual yield is 5.09% (2 d.p.).

Answer:

14.3

Step-by-step explanation:

2.75 * 5.2=14.3

Answer:

Maximum height 8 feet; horizontal distance 11 feet

Step-by-step explanation:

got it right

The maximum height and horizontal distance is required.

Maximum height 8 feet; horizontal distance 16 feet

The given path is [tex](x-3)^2=-8(y-8)[/tex]

If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.

[tex](x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11[/tex]

or

[tex]x-3=-8\\\Rightarrow x=-5[/tex]

The distance between -5 and 11 is [tex]11-(-5)=16[/tex]

Middle point would be [tex]\dfrac{16}{2}=8[/tex] from [tex]-5[/tex].

[tex]-5+8=3[/tex]

So, [tex]x=3[/tex]

The maximum height will be

[tex](3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8[/tex]

The maximum height is 8 feet and the horizontal distance is 16 feet.

Learn more:

https://brainly.com/question/25227606

https://brainly.com/question/13103131

9514 1404 393

Answer:

  4 + y < 6

  see attached for a graph

Step-by-step explanation:

The English description "the sum of A and B" is written symbolically as ...

  A + B

The symbol for "is less than" is <.

Then "the sum of 4 and y is less than 6" will be written ...

  4 + y < 6

__

The solution to this is found by subtracting 4 from both sides of the inequality:

  4 +y -4 < 6 -4

  y < 2 . . . . . . . . . simplified solution

The graph of this is a number line with an open circle at y=2, and shading to the left of that point, where values on the number line are less than 2.

Answer:

16

Step-by-step explanation:

it doubles every time    2,4,8. 16

Answer: 90

6+15+24=45

45*2=90 (the numbers are the same so just x2)

Answer:

X < 6

Step-by-step explanation:

Since 6 times 6 = 36, then for this equation to be true, x would have to be less than 6.

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46

The gross salary is the amount received by an individual prior to the deduction of the taxes.

Given that:

Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.

i.e.

= Ghc4687.24 - Ghc421.78

= Ghc4,265.46

Learn more about gross salary here:

https://brainly.com/question/13582411?referrer=searchResults

https://brainly.com/question/16688602

Step-by-step explanation:

Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3

Answer:

-4m-3

Step-by-step explanation:

Step-by-step explanation:

→ -0.25(16m+12)

→ (-0.25×16m)+(-0.25×12)

→ (-4m)+(-3)

→ -4m-3. Answer

Answer:

y = -3/7x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

2 - 8 / 7 - (-7)

-6/14

= -3/7

y = -3/7x + b

2 = -3/7(7) + b

2 = -3 + b

5 = b

9514 1404 393

Answer:

Step-by-step explanation:

Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.

  40 -8p -3w . . . . represents the money remaining

For p=3 and w=4, this evaluates to ...

  40 -8(3) -3(4) = 40 -24 -12 = 4

Ms. Liu will have $4 left after her purchase.

Answer:

Total yearly interest for the two accounts is: $1500

Step-by-step explanation:

Total amount of money invested: $13000

x+y=13000,

Total yearly interest for the two accounts is: $1500

0.07*x+0.17*y=1500

x=13000-y

Substitute for x

0.07*(13000-y)+0.17*y=1500

Multiply out

910-0.07y+0.17*y=1500

Combine like terms.

0.1*y=590

Isolate y

y=$ 5900.00 at 17%

x=13000-y

Calculate x

x=$ 7100.00 at 7%

Check

0.07*7100+0.17*5900=1500

497+1003=1500

1500=1500

If this statement is TRUE and neither amount is negative then all is well

(Hope this helps can I pls have brainlist (Crown)☺️)

Answer:

4a - 20b - 3c

Step-by-step explanation:

6a - 5b - 8c - 15b - 2a + 5c

= 4a - 20b - 3c

I HOPE IT WILL HELP YOU.

Thank you.

I HOPE YOUR DAY GOES GREAT.

Answer:

it's C. 3/40

Step-by-step explanation:

ghjfrukkbf

Answer:

15 percent

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

(80-68)*(100/80)=15%

Answer:

20 m

Step-by-step explanation:

We can see from the hatch marks that JK is equal to one half of HG

2(6x - 4) = 10x

12x - 8 = 10x

2x - 8 = 0

2x = 8

x = 8/2

x = 4

therefore to find JK we will substitute x with 4

JK = (6(4)-4) = 24 - 4 = 20m

Answer:

x^2+4x+13=0

Step-by-step explanation:

I'm 100% certain this is right. Have a good day/night wherever you are! :D