Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
A 1.18 L

B 0.7 L

C 8.3 L

D 17.1 L

Answer:

u1 = 210

u2 = 206 = u1 - 4

u3 = 202 = u2 - 4

........

un = u1 - 4(n - 1) = 214 - 4n

so the 35th term is 214 - 4.35 = 214 - 140 = 74

Answer:

Step-by-step explanation:

Width =  w units

Length = ( w + 13 ) units

Perimeter of rectangle = 38 units

2* (length + width) = 38

2*(w +13 + w )= 38            {Use distributive property: a*(b+c)=(a*b) +(a*c)

2* ( 2w + 13)   = 38  

2*2w + 2*13   = 38

     4w + 26   = 38              {Subtract 26 from both sides}

              4w   = 38 - 26

              4w =  12       {Divide both sides by 4}

                w = 12/4

w = 3 units

Length = 3 + 13 = 16 units

Answer:

it's A

total HJY = 180

I dont know how to explane sorry but A is the answer

Answer:

See below

Step-by-step explanation:

For seg FG to be tangent to the circle with center E, the side lengths 6, 10, 12 must follow the rule of Pythagorean triplets.

So,

[tex] {10}^{2} + {6}^{2} = 100 + 36 = 136 \\ \\ {12}^{2} = 144 \\ \\ \because \: {10}^{2} + {6}^{2} \neq \: {12}^{2} \\ [/tex]

From above it is obvious that given segment lengths doesn't follow the Pythagorean triplet rule. Therefore, seg FG is not tangent to the circle with center E.

Answer:

$13

Step-by-step explanation:

Given that :

Increase in salary factor = 11/10

New salary = $14.30

Initial salary = x

To obtain the value of the initial salary,

The product of the scale factor by the initial salary sgiuf give the amoi tof the new salary

11 / 10 * x = 14.30

1.1x = 14.30

x = 14.30 / 1.1

x = $13

Hence.initial salary per hour = $13

Answer:

It is ...

Step-by-step explanation:

The required fraction at which lettuce will be divided in is 5/12.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,

A chef divides 5 heads of lettuce equally among 12 salad plates. ,
The ratio in which 5 heads of lettuce will be divided in 12 plates is given as,
= 5 / 12

Thus, the required fraction at which lettuce will be divided in is 5/12.

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Answer:

68.8 hot dogs

Step-by-step explanation:

27.5 ÷ 4 = 6.875 per minute

6.875x10 = 68.75 hot dogs

Answer:

68.75 hotdogs

Step-by-step explanation:

lets say x = number of hotdogs

27.5/4 = x/10

use cross multiplication:

27.5 (10) = 4(x)

multiply

275 = 4x

divide both sides by 4 to isolate x

x = 68.75

Answer:

B.16-30

step by step explanation:

Answer:

I guess B?

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation:

Answer:

B) m∠S= 116, m∠Q=64, m∠T= 64

Step-by-step explanation:

Answer:

4

Squiggles

Step-by-step explanation:

steps

1 feet = 12 inches

2 feet = 2 x 12 = 24 inches

length of squiggles = 24 + 10 = 34 inches

squiggles is longer because 34 is greater than 30

difference = 34 - 30 = 4

1/4 of 12 is 3ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

x = 4, 10a

Step-by-step explanation:

3(x-2) + 2(2x+5) = 32

3x - 6 + 4x + 10 = 32

3x + 4x + 10 - 6 = 32

7x + 4 = 32

7x = 32 - 4

7x = 28

Divide both side by 7

x = 4

a + 2a + 7a

They are common because the have the same variables.

'a' is with a coefficient of 1

You add the coefficient and attach the variable to it

Therefore,

a + 2a + 7a = 10a

Answer:

$4,352 + $126.50= $4,478.50

Step-by-step explanation:

8.50 x 512 = 4,352

11.50 x 7 = 126.50

All together it equals

4,478.50

Hope this Helps! :)

Answer:

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Divide 39 by 9 to get 4[tex]\frac{1}{3}[/tex]

39÷9=4[tex]\frac{1}{3}[/tex]

Answer:

[tex]a^{m+n}[/tex]

Step-by-step explanation:

For future use:

[tex]a^{m} *a^{n}=a^{m+n}[/tex]

[tex](a^{m} )^{n}=a^{mn}[/tex]

Cube root of 12 is 2.28942848511

Answer:

v = 21

Step-by-step explanation:

BE = ED

So:

v + 63 = 4v

63 = 4v - v

63 = 3v

v = 63 / 3

v = 21

Answer:  here is the answer

The equation of the line that has a slope of -1 and a y-intercept of -6 is:

y=-1x-6.

Step-by-step explanation:  here is the explanation

You want to find the equation for a line that has a slope of -1 and a y-intercept of -6.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with -1, which is the slope you gave, and

replace b with -6, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of -1 and a y-intercept of -6 is:

y=-1x-6.

Answer:

The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.

Step-by-step explanation:

Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.

If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:

[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]

Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.

[tex](x+5)=0\\x = -5[/tex]

[tex](x-7)=0\\x = 7[/tex]

Now, if we see the quadratic equation or the function it is written as,

[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]

Therefore, the value of y is 0.

Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).

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The coordinates of the image after a rotation of 180° counterclockwise about the origin is A' ( 7 , 3 )

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the coordinate of the point be A

Now , the value of A is A ( -7 , -3 )

And , 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

So , the coordinates of the image is A'

And , the value of A' = A' ( 7 , 3 )

Hence , the rotation is solved and the image is A' ( 7 , 3 )

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Answer:

1/3 is less than 2/3

7/9 is greater than 2/3

4/10 is less than 2/3

4/6 is equal to 2/3

Answer:

4.25 hours

Step-by-step explanation:

Given that :

Game broadcast time = 2 5/6 hours = 17/6 hours

Commercials time = 2/3 hours

2/3 hours of commercials = 17/6 of game broadcast

1 hour of commercials = x hours of game broadcast

Cross multiply ;

(2/3)x = 17/6

2x * 6 = 17 * 3

12x = 51

x = 51 / 12

x = 4.25

For every hour it shows commercials, game is broadcasted for 4.25 hours

Answer:

Since the trianges are similar

then:

Answer:

A = 1/2 (13) ( 9 +9)

A = 1/2 (13) (18)

A = 117

Answer:

$344.25

Step-by-step explanation:

Answer:

546.75$

Step-by-step explanation:

202.5(2.7)=546.75

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

[tex]y = \frac{3}{4} x - 5[/tex]

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

[tex]6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3} [/tex]

therefore L2:

[tex]y = - \frac{4}{3}x + 16 \frac{2}{3} [/tex]

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

[tex]6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0[/tex]

therefore L3:

[tex]y = \frac{3}{4} x[/tex]

Answer:

a). 0

Step-by-step explanation:

f(1) = 1 - 1

= 0