Express each ratio as a fraction in simplest form.
2 gallons to 27 quarts

Answer:

[tex]x\approx4.5[/tex]

Step-by-step explanation:

In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]

[tex]6.7tan(34^\circ)=x[/tex]

[tex]x=6.7tan(34^\circ)[/tex]

[tex]x\approx4.5[/tex]

Answer:

A. 5x² - 7 - 72 = 0

5x² - 79 = 0

x = ± √-4ac / 2a

x = ± √- 4 (5) (-79) / 2 (5)

x = ± √ 1580 / 10

x = ± 39.749/10

x = + 39.749/10 x = -39.749/10

= 3.9749 = - 3.9749

B. x² + 2x - 5 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (1) (-5) / 2 (1)

= - 2 ± √4 + 20 / 2

= - 2 ± √ 24 / 2

x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2

= 2.898/2 = -6.898/2

= 1.449 = - 3.449

C. 3x² + 2x - 4 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (3) (-4) / 2 (3)

= - 2 ± √4 + 48 / 6

= - 2 ± √ 52 / 6

x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6

= 5.211/6 = - 9.211 /6

= 0.869 = - 1.535

Hope that helps

Please to re-check answers

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

Answer:

r = -28/9

Step-by-step explanation:

use slope formula of (y₂-y₁) / (x₂-x₁)

5/9 = [r - (-2)] / [-7 - (-5)]

5/9 = (r+2) /-2

cross-multiply to get:

-2(5) = 9(r+2)

-10 = 9r + 18

-28 = 9r

r = -28/9

Answer:

330

Step-by-step explanation:

substitute x for 40 because that is how much you have in your account.

y= 70 - 10(40)

y = 70 - 400

y = 330

Therefore you bought 330 video games!!

Hope this helps, please tell me if I am wrong, I love learning from my mistakes:)

Answer:

  a.  4, 6

  b.  -72

  c.  (5, 3)

  d.  Graph A

Step-by-step explanation:

To answer these questions, it is useful to start by factoring the equation.

  y = -3x² +30x -72 . . . . given

  y = -3(x² -10x +24) . . . . factor out leading coefficient

  y = -3(x -4)(x -6)

The x-intercepts are the values of x that make the factors zero:

  x = 4, 6

__

The y-intercept is the constant in the equation: -72.

__

We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.

  y = -3(5 -4)(5 -6) = -3(1)(-1) = 3

The vertex is (5, 3).

__

The graph that has the correct vertex and x-intercepts is Graph A.

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

Answer:

12

Step-by-step explanation:

Answer:

x=1

y=-1

Step-by-step explanation:

they have already isolated y in both equations

label both equations

y=-x............1

y=3x-4........2

sub 1 into 2

-x=3x-4

-x-3x=-4

-4x=-4

x=1........ 3

sub 3 into 1

y=-(1)

y=-1

Answer: 9

Step-by-step explanation:

Answer:

9!

Step-by-step explanation:

Answer:

x =10

Step-by-step explanation:

In a parallelogram, opposite sides are congruent

QT = RS

2x - 10 = x

Add 10 to both sides

2x = x + 10

subtract 'x' from both sides

2x -x = 10

x = 10

Answer:

y=0.75x-1

Step-by-step explanation:

The result of 3 5/6+(−1 1/6) is 2 2/3.

The definition of a fraction is that the division of two integers by the number being divided is called the numerator and the divisor is called the denominator.

Kinds of Fractions:

3 5/6+(−1 1/6)

= 23/6 + (-7/6)

= 23/6 - 7/6

= 16/6

= 8/3

= 2 2/3

So, The result of 3 5/6+(−1 1/6) is 2 2/3.

mampir ke indo :v

______

Keywords: Subtract mixed fractions.

[tex]2\frac{2}{3}[/tex] is the simplest form of expression  [tex]3\frac{5}{6} +(-1\frac{1}{6} )[/tex]

A fraction represents a part of a whole.

Fractions are three types proper fraction, improper fraction and Mixed fraction.

The given expression is [tex]3\frac{5}{6} +(-1\frac{1}{6} )[/tex]

Three five by six plus minus one one by six.

Let us convert mixed fraction to improper fraction and solve

[tex]3\frac{5}{6} +(-1\frac{1}{6} )[/tex]

(18+5)/6 -(6+1)/6

23/6-7/6

Now take LCM as 6

(23-7)/6

Sixteen by six

16/6

Eight by three

8/3

[tex]2\frac{2}{3}[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Answer:

\mathrm{X\:Intercepts}:\:\left(-\frac{431}{26},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:43.1\right)

Step-by-step explanation:

Answer:

assuming <= is less than or equal to

then z/3 is less than or equal to 3

z had to be less than 9

Answer:

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Definition:

GEOMETRY

(of figures) identical in form; coinciding exactly when superimposed.

Answer:

x = 3y + 4x

its how graphs work

Answer:

  a. p/7

  b. 21; 35

Step-by-step explanation:

To find the number of pages in each folder, divide the number of pages by the number of folders.

a. There will be p/7 pages in each folder.

b. 147 pages will result in 147/7 = 21 pages in each folder

  245 pages will result in 245/7 = 35 pages in each folder

Answer:

Step-by-step explanation:

5a.) It starts with two at time one and increases by one each time

5b.) x+1

6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3

7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time

7b.) 2n+1

8a.) x²

8b.) just draw a 6x6

8c.) 12²=144

Answer:

1. Yes;   2. Yes ;     3. No;       4. Yes

Step-by-step explanation:

The proportion will have to be read the same way.  For example top Δ bottom  to the lower Δ bottom (locate in the same place)

14/21 = 6 /9     Yes  because the top Δ bottom to lower Δ bottom = top side to  

                         lower same side

13.5/21 = 9/ 14   Yes    because the same two sides to the same two sides in

                                     the lower Δ  

9/13.5 = 6 21      No   because top Δ side to lower Δ same location  but the

                                  second one top Δ side to the lower bottom

14 /6 =  21/6      Yes   because top Δ bottom to top side = lower Δ bottom to

                         lower side (in the same place)

Adding this so you can give the other dude the brailyist

Answer:

23 Dimes and 8 Quarter.

Step-by-step explanation:

Important info:

31 Coins worth a total of $4.30

Note:

Dimes = .10

Quarters = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many of each type of coin does she have?

Solution:

Lets get rid of the .30 cent in $4.30 so

.30 = 3 Dimes

Now $4.00,

4.00-1.00 of quarter

=

3.00 and 4 quarter..

Right now we have 3 Dimes and 4 Quarter = $1.30.

And that 7 Coins worth of $1.30.

3.00-2.00= 1.00 and 20 Dimes so now we have

23 Dimes and 4 Quarter.

And that add up to 27.

1.00-1.00 of Quarter = 4 Quarter.

so 31 worth a total of $4.30.

So that's 23 Dimes and 8 Quarter.

Check Work:

23 Dimes = $2.30 and 8 Quarter = $2.00

$2.30 + $2.00 = 4.30

Hence, The Correct Answer is 23 Dimes and 8 Quarter.

~[ RevyBreeze }~

Answer:

combine like terms

7y + 6y

 13y + 9

Step-by-step explanation:

here is the solution

13y + 9

Answer:

hope this helps

Step-by-step explanation:

192 fl oz. = 6 quarts

to get this you divide the fluid ounces by 32.

answer is D

graduent should be m¹×m²=-1

and should be the inverse of the other

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

lmk if you want an explanation

Answer:

w=3

Step-by-step explanation:

-16+5w=-1 .       add 16 to both sides

5w=15 .   divide both sides by 5

w=3

Step-by-step explanation:

-33 ≤ -4x + 3

Group like terms

4x ≤ 3 + 33

4x ≤ 36

Divide both sides by 4

4/4x ≤ 36/4

x ≤ 9

Final answer: x ≤ 9

Hope this helps.