Type the correct answer in each box. Use numerals instead of words.

This system of equations has been placed in a matrix:

y = 650x + 175
y = 25,080 − 120x

Answer:

[tex]644cm^2[/tex]

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to [tex]2\times(30+100+120)-72=428 cm^2[/tex].

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's [tex]2\times(24+48)+72=216cm^2[/tex].

So the total surface area is [tex]428+216=644cm^2[/tex].

Answer:

○ 1 hour 41 minutes or more

Step-by-step explanation:

We can make two equations that represent the total amount each plumber charges.

If [tex]x[/tex] represents the number of hours they work, then:

•Total charged by Plumber A = [tex]35 + 15x[/tex]

• Total charged by Plumber B = [tex]40+12x[/tex]

Now, if Plumber A is more expensive than Plumber B, then:

Total charged by Plumber A > Total charged by Plumber B

∴ [tex]35 + 15x[/tex] > [tex]40+12x[/tex]

Now all we have to do is solve for [tex]x[/tex]:

[tex]35 + 15x[/tex] > [tex]40+12x[/tex]

⇒ [tex]35 + 15x -12x > 40[/tex]

⇒ [tex]35 + 3x > 40[/tex]

⇒ [tex]3x > 5[/tex]

⇒ [tex]x > \bf \frac{5}{3} \space\ \mathrm{h}[/tex]

[tex]\frac{5}{3} \space\ \mathrm h[/tex]  is equivalent to  [tex]\frac{5}{3} \times 60 \space\ \mathrm {min}[/tex] = 100 minutes, which is the same as 1h 40min.

This means if Plumber A works more than 1h 40min, they become more expensive than Plumber B.

More than 1h 40min is equivalent to '1 hour 41 minutes or more', therefore the first option is correct.

One fourth of m minus six is equal to two times the sum of m and 9:

This is self-explanatory, please comment if something is unclear.

Drew has 50 marbles; red, green and blue.

Equation for this:

He has six more red marbles than blue marbles:

Equation for this:

He has four fewer green marbles than blue marbles:

Equation for this:

Substitute r and g into first equation and solve for b:

Drew has 16 blue marbles.

Answer: Option (4)

Step-by-step explanation:

The graph has a y-intercept of 2.

The graph passes through (2,4).

This leaves option (4) as the correct answer.

The answers are :

10) 25 : 24

11) 24 : 5

12) 36 : 5

13) 7 : 3

14) 15 : 1

Ratio = Number of event 1 : Number of event 2 (in same unit, if necessary)

10

Girls preferring orange juice : Boys preferring orange juice

50 : 48 (Divide by 2 on both sides)

25 : 24

11

Boys preferring orange juice : Boys preferring grapefruit juice

48 : 10 (Divide by 2 on both sides)

24 : 5

Remember :

12

3 minutes : 25 seconds

3 × 60 : 25 (Divide by 5 on both sides)

3 × 12 : 5

36 : 5

13

2 weeks : 6 days

2 × 7 : 6 (Divide by 2 on both sides)

7 : 3

14

5 hours : 20 minutes

5 × 60 : 20 (Divide by 20 on both sides)

5 × 3 : 1

15 : 1

I'll go for 40.

To find the value of y,

draw a line up from the x - axis at 1910,

all the way up to cross the blue line;

then, draw a horizontal line from the point where the recent line meets the blue one.

Now read of the value you get for y.

Hope this helps!

Answer:

$0.03

Step-by-step explanation:

2.31/11 =.21

2.70/15 =.18

.21-.18 = .03

Her business will break even when she contains sold 1740 bottles of her lotion.

Given: She invests $15,225 in equipment to manufacture and package her lotion each bottle costs $3.25 to manufacture and sells for $12.

"Break even" occurs when Revenue = Costs.

($12/bottle)x = $15225 + ($3.25)x

Simplifying the above equation, we get

$8.75x = $15225

Diving both sides of the equation by 8.75, we get

$8.75x/8.75 = $15225/8.75

x = 1740 bottles

Therefore, the value of x = 1740 bottles.

Her business will break even when she contains sold 1740 bottles of her lotion.

Therefore, the correct answer is option b. 1740 bottles.

To learn more about the expression refer to:

brainly.com/question/723406

#SPJ4

Answer:

8/9

Step-by-step explanation:

I'm pretty sure it's that

The answer is 8/9.

First, find the HCF of 24 and 27.

Hence, the HCF of the numbers is 3.

Then, divide both sides of the fraction by 3.

a linear combination can be:

(a + b)*(4x + 15y) = a*12 + b*15

Here we have the system of equations:

(2/3)*x + (5/2)*y = 15

4x + 15y = 12

To solve the system of equations, we first need to isolate one of the variables in one of the equations, I will isolate x on the second equation.

4x = 12 - 15y

x = (12 - 15y)/4

Now we can replace that in the other equation:

(2/3)*x + (5/2)*y = 15

(2/3)* (12 - 15y)/4 + (5/2)*y = 15

Now we can solve that for y.

2 - (10/4)*y + (5/2)*y = 15

2 = 15

That is a false equation, then we conclude that the system of linear equations has no solutions.

This means that the two lines are parallel lines, then a linear combination can be:

(a + b)*(4x + 15y) = a*12 + b*15

Where a and b are two real numbers.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:Your answer is

There are no solutions.

Step-by-step explanation:Brainliest Please?

225/0.88*100%

255.68*100

25,568 pounds in pantry

They are both 6.9 miles apart after one hour if they both hike 4 miles/hour

The correct option is (B)

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

h = 4sin30

h = 4(1/2)

h = 2 miles

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ4

I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

Answer:

90 degrees

Step-by-step explanation:

Same side interior angles, or consecutive angles, are supplementary (angle measures add up to 180 degrees). Since both angles have measures 3x degrees, the angles are congruent (same angle measure). In Geometry, when two angles are congruent and supplementary, the two angles are right angles (angles measuring 90 degrees). Therefore the angle measures of the two angles are 90 degrees and 90 degrees.

Or, to solve this algebraically, add 3x and 3x, let it equal to 180 degrees, solve for x, and find the angle measures by substituting x into the expression.

3x + 3x = 180

6x = 180

x = 30

3x = 3*30 = 90

The claim is wrong, or your question is incorrectly entered.

[tex]x=1 \implies f(3) = f(3) + f(1) \implies f(1) = 0[/tex]

[tex]x=3 \implies f(9) = f(3) + f(3) = 2f(3)[/tex]

[tex]x=9 \implies f(27) = f(3) + f(9) = 3 f(3)[/tex]

[tex]x=27 \implies f(81) = f(3) + f(27) = 4f(3)[/tex]

Then

[tex]f(1) - f(3) - f(9) - f(27) = 0 - f(3) - 2f(3) - 3f(3) = -6f(3) \neq 4f(3) = f(81)[/tex]

at least if [tex]f(3)\neq0[/tex].

The value of the polynomial difference when the value of x is 2.1 is -3.51

Polynomials are functions that has a leading degree of 3 and above. Given the following polynomial expression below;

g(x)= 2x^2+3x-9 and;

h(x)=x^2+2x-6

Take the difference

(h-g)(x) = h(x) - g(x)

Substitute

(h-g)(x) = x^2+2x-6 - (2x^2+3x-9)

(h-g)(x) = x^2+2x-6-2x^2-3x+9
(h-g)(x) = -x^2-x+3

Substitute the value of x to have;

(h-g)(2.1) = -(2.1)^2 - 2.1 + 3

(h-g)(2.1) = -4.41 + 0.9

(h-g)(2.1) = -3.51

Hence the value of the polynomial difference when the value of x is 2.1 is -3.51

Learn more on difference of polynomial here: https://brainly.com/question/2833285

#SPJ1

Answer: C

Step-by-step explanation:

A function only exists if each x-value has only one possible y-value.

C is the only function because each x-value has only one y-value.

The other answer choices have x-values that have multiple y-values. In answer choice A, it has (2,9) and (2,8). In answer choice B, the set has (1, 0) and (1,2). And in answer D, it has (1,3) and (1,2)

Answer + Step-by-step explanation:

let f be the relation that we are studying.

f is a function if it associates a unique output (number) to each input (number) .

A. {(2,9), (2,8), (-3,7), (-3,6))

Since f(-3) = 7 and f(-3) = 6

Then

f associates -3 to two different outputs 7 and 6.

Then

f cannot be a function.

B. ((-4,3), (1,0), (1,2), (2,3)}

Since f(1) = 0 and f(1) = 2

Then

f cannot be a function.

C. {(2,1), (4,2), (6,3), (8,4))

f is a function.

D. {(1,2), (-2,3), (1,3), (-2,2)

Since f(-2) = 3 and f(-2) = 2

Then

f cannot be a function.

The solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

The equation is given as:

h(t)) = -16t^2 + 40t + 7

From the question

When h(t) = 0, the values of t are

t = -0.2 and t = 2.7

The t in the function h(t) represents time

As a general rule, time cannot be negative.

This means that the solution t = -0.2 can be eliminated

Hence, the solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

Read more about height function at:

https://brainly.com/question/12446886

#SPJ1

Answer:

No

Step-by-step explanation:

Each x can have only ONE y as its partner. In this relation, -1 has TWO different partners: in one point (-1,-4) the y is -4 and in another point (-1,2) the y is 2. Not a function.

Answer:

20 pounds

Step-by-step explanation:

i took the test trust me i got 2 points

Answer:cost(weight)

Step-by-step explanation:

The computation shows that the value of b will be 91.864.

From the information given, we are told to find the value of b (b - 4.21 = 87.654). This will be:

b - 4.21 = 87.654

b = 87.654 + 4.21

b = 91.864

Also. dividing 1.86 and 8.4 will be:

= 1.86/8.4

= 0.2213

Therefore, the values are 91.864 and 0.2213.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

Answer: A, D

Step-by-step explanation:

A) Correct. [tex](x^3)^2=x^{(3)(2)}=x^6[/tex]. Similar logic for y.

B) Incorrect. The numerators are different.

C. Incorrect. The denominators are not the same.

D. Correct. The denominators are the same by difference of squares.

The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = [tex]3C_{1} ^{5} + 2C_{2} ^{5}[/tex]

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = [tex]3C_{1} ^{5} + 2C_{2} ^{5}[/tex]

Total number of ways = [tex]3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )[/tex]

Total number of ways = [tex]3(5) + 2(10)[/tex]

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

Learn more about combination and permutation here

https://brainly.com/question/11732255

#SPJ1

The polynomial functions in their expanded form is given as follows. It is right to state that there are no breaks in the domain of h(x).

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

For instance, the polynomial 3x+4 has an exponent of 1.

Part A: F(x) has zero at 2 and multiplicity of 1; and

1 at the multiplicity of 2

f(x) = x-2) (x-1)²

= (x-2) (x² - 2x + 1)

= x³ - 4x² + 5x -2

Part B: h (x) = [tex]\left \{ {{x^3 -4x^2 + 5x -2; X < 0} \atop {\sqrt[3]{x-2} ; X\geq 0 }} \right.[/tex]

The domain of X is X ∈ R

Hence it is correct to state that there are no breaks in the domain of h(x).

Learn more about polynomial functions:
https://brainly.com/question/2833285
#SPJ1

Answer:

Step-by-step explanation:

23 - (-2)

= 23 + 2

= 25

1) The mistake you made was to subtract 2 from 23 instead of  subtracting -2 from 23.

2) Keep in mind the difference between the '-'  used as a subtraction and the '-' used for indicating a negative number.

If you like, remember the mantra ' 2 negatives make a '+'.:-

2 - -4

= 2 + 4= 6.

Answer: If you’re talking on a percentage basis, it would be extremely unlikely to get a majority of the questions correct.

Step-by-step explanation:

Answer:

V₁ = 104 in.³  ,  S₂ = 650 in. ²

Step-by-step explanation:

⇒ Ratio = 4/10 = 2/5

⇒ V₁ : V₂ = (ratio)³ = 8/125  {geometric scale}

⇒ S₁ : S₂  = (ratio)² = 4/25

∴ V₁ = 8/125 × V₂ = 1,625 in³ × 8/125 = 104 in.³

⇒ S₂ = 25/4 × S₁ = 104 in² × 25/4 = 650 in.²

Answer:

x = 7

Step-by-step explanation:

Distribute -

12x − 66 + 15 = 3x + 12

Combine Numbers and Variables -

12x - 51 = 3x +12

Get x on one side (isolate x) -

9x - 51 = 12

9x = 63

Divide 9 -

x =7

The minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.

According to the given question.

We have a deck of cards.

As, we know that

The total numbers of cards in a deck = 52

Since, we have to find the minimum number of cards to be drawn so that we will get atleast 3 cards of aces.

As they have used atleast in the question so the cards can be more also so we have to reach at minimum number of cards to be drawn to guarantee atleast 3 cards of aces.

Number of suits in a  standard deck= 4 (Clubs, Hearts, Diamond,  Spades)

Number of aces in a suit = 1

We need atleast three cards of aces. Which means that we have 4*1 =4 cards from each suit.

Thereofre, the minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.

Find out more information about cards and minimum numbers here:

https://brainly.com/question/28044662

#SPJ4