Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
,
, or
.
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The first step to solve the equation is;

⇒ ''Change 14 1/10 to 14.1''

What is Mixed fraction?

A fraction which is represented with its quotient and remainder is called a mixed fraction.

The problem is given as,

40.8 - 14 1/10

Now, To solve the equation we have firstly change 14 1/10 as

40.8 - 14 1/10

40.8 - 14.1

Then, Subtract the numbers as,

26.7

Solution of the problem is 26.7.

So, The first step to solve the equation is;

⇒ ''Change 14 1/10 to 14.1''

Option 4 is true.

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Answer: r=d/t

Step-by-step explanation:

d=rt

d/t=rt/t

r=d/t

Answer:

[tex]r=\frac{d}{t}[/tex]

Step-by-step explanation:

[tex]d=rt[/tex]

Divide both sides by [tex]t[/tex]:

[tex]\frac{d}{t}=r[/tex]

[tex]r=\frac{d}{t}[/tex]

Answer:

49

Step-by-step explanation:

The ratio of three numbers = 2:5:7

Then the numbers are 2x,5x and 7x

Given that the LCM of these numbers  = 490

LCM of 2x,5x,7x is 2×5×7×x = 70x

Then, we have 70x = 490

x  = 7

Hence, the numbers are 14, 35 and 49

Largest number = 49

∴The square root of the largest number = 7

Answer:

infinitely many solutions

Step-by-step explanation:

4=2x+y

-6x-3y=-12

First, line up the variables in the right place

4=2x+y

-12=-6x-3y

Choose the variable you want to eliminate, I will do x

Multiply everything in the first equation by 3

3(4)=(2x+y)3

-12=-6x-3y

Simplify

12=6x+3y

-12=-6x-3y

If we combined everything, it would all cancel

This means there are infinitely many solutions

Answer:D) the sum is a binomial with a degree of 6

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

[tex]\frac{x}{5}-9=1 \\ \\ \frac{x}{5}=10 \\ \\ x=50[/tex]

Answer:

1

Step-by-step explanation:

When you simplify, the answer is 1.

Answer:

1

Step-by-step explanation:

The population density of Singapore in residents per square kilometer is 8266.12 per square kilometer

What is Population Density ?

The given parameters are

Number of people = 21400 residents

Area = 1 mi²

Convert the square mile to square kilometer

1 x 1.609² = 2.588881 Km²

Population density = Number of residents ÷ area

Population density = 21400 ÷ 2.588881

Population density = 8266.12 per square kilometer

Therefore, the population density of Singapore in residents per square kilometer is 8266.12 per square kilometer

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x = 20+ 3y

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Jame = x

Brittany  = y

x = 20+ 3y

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Answer:

15 units

Step-by-step explanation:

By using the Pythagoras Theorem,

C^2 = A^2 + B^2

Substitute in the given values,

25^2 = a^2 + 20^2

625 = a^2 + 400

625 - 400 = a^2 + 400 - 400

a^2 = 225

[tex]a = \sqrt{225} [/tex]

= 15

Hope this too helped! ^^

I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.

Answer:

-10x + 25

Step-by-step explanation:

We will distribute the - 5 in to 2x which is - 10x

Then distribute - 5 to - 5 which is 25

Answer:

-23/20

Step-by-step explanation:

Farfalla produces 2,400 kites every year.

The number of factories Farfalla owns around the globe = 3;

The number of kites produced by original factory every year = 600;

The number of kites produced by each of other 2 factories every year = 900;

Then the total kites produced by both other factories will be = 2 × 900 = 1800;

Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;

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The solution to the given inequality is x≥50.

The given inequality is 50≤x≥1000.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now,

Move all terms not containing x from the centre section of the inequality.

Inequality Form: x≥50

Interval Notation: [50,∞)

The solution to the inequality is marked on the number line.

Therefore, the solution to the given inequality is x≥50.

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Answer: D

Step-by-step explanation: 2,6

If the quadratic is y = a*x^2 + b*x + c

the coordinates of the vertex are:

x = -b/2a

y = (1/2a)*( -0.5*b^2 + c)

For a quadratic equation in standard form:

y = a*x^2 + b*x + c

The x-value of the vertex is given as:

x = -b/2a

Once we get the x-value of the vertex, we can get the y-value by evaluating the quadratic equation in x = -b/2a, we will get:

y = a*(-b/2a)^2 + b*(-b/2a) + c

y = b^2/(4a) - b^2/2a + c = (1/2a)*(b^2/2  - b^2 + c)

y = (1/2a)*( -0.5*b^2 + c)

Then the coordinates of the vertex are:

x = -b/2a

y = (1/2a)*( -0.5*b^2 + c)

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Answer: 48

Step-by-step explanation:

The unknown angle labelled t is solved with the knowledge of the circle theorem which states that the angle subtended by an arc at the centre is twice the angle subtended at the circumference.

Using this knowledge we have that

t = 2 * 24

t = 48 degrees

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Answer: The answer will be D

Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C

The required function is d = 360 - 35h, 0 ≤ h ≤ 10.29.

We know that distance travelled is equalled to speed multiplied by time.

Let d be the distance from the destination.

Let d₁ be the distance travelled in h hour.

And h be the number of hours driven.

Given that the average speed is 35 miles per hour.

Therefore, we have d₁ = 35h

And the initial distance from the destination is 360 miles.

Note at time h= 0 the distance from the destination is the maximum which is 360 miles.

Therefore, we have d₁ = 35h

Distance from the destination is 360 - d₁.

⇒ d = 360 - d₁

⇒ d = 360 - 35h

Time taken to reach destination = d/v = 360/35 = 10.29 hours

Therefore the required function is d = 360 - 35h, 0 ≤ h ≤ 10.29

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√17 unit is  the components of vector V .

what is components of vector?

A vector quantity has a magnitude and a direction as its two attributes. You must compare both the magnitude and the direction of two vector quantities of the same type.

The initial and terminal points of a vector v  are given by

(6, 3) and (2, 2).

Hence:

The component form of v is

V = ( 2 - 6) ( 2 - 3)

   = (  -4 , -1)

The length of the vector is

l v l = [tex]\sqrt{(-4)^{2} + ( -1)^{2} }[/tex]  = √17 unit

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Answer:

b decreasing its korrect now

Answer:

The median is: 5

Hope this helps! <3

Answer:

Step-by-step explanation:

5

Answer:

The function h(x) =x^2-x-2/ x^2-x-6=

E.-2 and 3

Answer:

12.5988 feet.

Step-by-step explanation:

Length of shadow = 15 feet.

Height of flagpole = A.

We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.

Hope this helps! :)

The the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.

Constant proportionality:

Constant proportionality means the ratio of two proportional values at a constant value.

Directly Proportional:

In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively.

Given,

Suppose that y is directly proportional to x.

And y = kx.

Here we need to find the value of k when the value of x = 10 and the value of y = 30.

And we also need to find the value of y when the value of x = 14.

First, we have to find the value of k by apply the given value of the equation,

=> 30 = k x 10

=> 30 /10 = k

=> k = 3

Now the value of y when the value of x = 14 and the value of k = 3,

Then

=> y = 3 x 14

=> y = 42.

Therefore, the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.

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Answer:

f(p) = 18p + 40

Step-by-step explanation:

Since they can make 18 pizzas per hour, number of pizzas made in p hours = 18p

They already have 40 pizzas

So  total number of pizzas at any time p is f(p) = 18p + 40

The length of both the triangle's base and height in feet.

length of base = 32ft

height = 14 ft.

The base of a triangle can be any of its  sides. The term "base" refers to the both the side and the length (the measurement). The comparable height is really the length of a perpendicular segment from either the base to the opposing vertex.

Given that perhaps the cross-section of the lean-to shelter is a triangle, its area is a triangle.

A = ¹/₂bh

b = length of base

h = height

the base of the triangle is 10 feet more than twice its height, we have that

b = 2h + 10

A = ¹/₂bh

A =  ¹/₂(2h + 10)h

A = h² + 5h

Since the area of the triangle is A = 126 ft², we have that;

h² + 5h = 126

h² + 5h - 126 = 0

h² +(14h -9h) - 126 = 0

h² +14h -9h - 126  = 0

h(h + 14) -9(h + 14) = 0

(h + 14)(h - 9) = 0

Hight cant be negative:

h = 14

Length of the base is b = 2h + 10

b = 2h + 10

b = 2(14) + 10

b = 28 + 10

b = 35 ft

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