When subtracting with negative numbers, change the problem to an
problem and

Answer:

Step-by-step explanation:

The dimensions of the container:

The area of the container is:

Answer:

I think the answer is y = 3x + 12.

Step-by-step explanation:

y = 3 (x - 1) (x - 4)

y = 3x -3 (x - 4)

y = 3x + 12

Answer:

a = -12

Step-by-step explanation:

For two lines to meet at a right angle, they are perpendicular to each other. Therefore the product of the slopes of the two lines is -1.

The slope of 3y + x = 0 will be -1/3 (rearrange the terms, 3y = -x and therefore y = -1/3 x).

The slope of 4y + ax + 3 = 0 will be -a/4. (4y = -ax - 3, therefore y = -a/4 x - 3/4)

Since the product of the slopes is -1, we can set up an equation now.

-1/3 * -a/4 = -1

a/12 = -1

a = -12

Step-by-step explanation:

xy = -40 and x + y = 18

=> x(18 - x) = -40

=> 18x - x² = -40

=> x² - 18x - 40 = 0

=> (x - 20)(x + 2) = 0

=> x = 20 or x = -2.

The two numbers 20 and -2.

Answer:

let the numbers be x and y

[tex]xy = - 40 - - - (i) \\ x + y = 18 - - - (ii) \\ from \: (ii) \\ x = 18 - y \\ substitute \: for \: x \: in \: (i) \\ (18 - y)y = - 40 \\ 18y - {y}^{2} = - 40 \\ {y}^{2} - 18y - 40 = 0 \\ use \: the \: quadratic \: equation \: to \: get \: y \\ and \: y \: will \: give \: u \: x[/tex]

x = 20

hence y = 18-20

y = -2

or

x = -2

hence y = 18-(-2)

y = 20

The numbers are -2 and 20

Complete question :

Christelle and Larkin both drive customers on the weekend. Christelle charges a flat fee of $4, plus $1 per mile. Larkin charges a flat fee of $2, plus $1.25 per mile.

Which equations represent each of their earnings, (y), after a given number of miles, (x)?

Select two that apply. Put more then one answer

y=4x+4

y=x+4

y=2x+1.25

y=1.25x+2

y=−x−4

y=1.25x−2

Answer:

y=x+4

y=1.25x + 2

Step-by-step explanation:

Christelle:

Flat fee = $4

Charge per mile = $1

Earning, y after x miles

y = 4 + x

Lakin:

Flat fee = $2

Charhe per mile = $1.25

EEarning, y after x miles

y = 2 + 1.25x

Answer:

Nathan: 2x+30

Olivia: 4x+15

Step-by-step explanation:

x is the number of weeks

Nathans account is as follows

2x+30

(2 dollars a week plus the 30 dollars already there)

Olivia's account is as follows

4x+15

(4 dollars per week plus the 15 already in there)

The system of equation for the given situation should be considered

Nathan: 2x+30

Olivia: 4x+15

here we assume x is the number of weeks

So for nathan, the equation is 2x+30

And, for Olivia's account is 4x+15

hence, The system of equation for the given situation should be considered

Nathan: 2x+30

Olivia: 4x+15

Learn more about an equation here: https://brainly.com/question/24389097

Answer:

98

Step-by-step explanation:

Given that:

Total number of tickets sold = 159

Ticket price for child admissions = 5.50

Ticket price for adult admissions = 9.80

Total money spent = 1136.80

To find:

The number of child admissions.

Solution:

Let number of child admissions = [tex]x[/tex]

Let number of adult admissions = [tex]y[/tex]

As per question statement:

[tex]x+y = 159[/tex] ...... (1)

and

Money spent for child admissions = 5.50[tex]x[/tex]

Money spent for adult admissions = 9.80[tex]y[/tex]

[tex]5.50x+9.80y = 1136.80[/tex] ...... (2)

Using equation (1):

[tex]y = 159-x[/tex]

Putting in equation (2) from above:

[tex]5.50x+9.80(159-x) = 1136.80\\\Rightarrow 5.50x+1558.2-9.8x=1136.80\\\Rightarrow 4.3x = 421.4\\\Rightarrow x = \bold{98}[/tex]

Therefore, total number of child admissions is 98.

Answer:

314 cm

Step-by-step explanation:

The formula for the circumference is [tex]C=\pi d[/tex], when d is the diameter.

[tex]C=\pi d[/tex]

Plug in the given values

[tex]C=3.14*100\\C=314[/tex]

Therefore, the circumference of the circle is 314 cm.

I hope this helps!

Answer:

[tex]32\pi[/tex] meters

Step-by-step explanation:

The formula for finding the circumference of a circle is [tex]C=2\pi r[/tex], where [tex]C[/tex] = circumference and [tex]r[/tex] = radius. In this case, we are solving for [tex]C[/tex] and we know that [tex]r=16[/tex], so after substituting [tex]r=16[/tex] into [tex]C=2\pi r[/tex], we get:

[tex]C=2\pi r[/tex]

[tex]C=2\pi *16[/tex] (Substitute [tex]r=16[/tex] into [tex]C=2\pi r[/tex])

[tex]C=32\pi[/tex] (Simplify RHS)

Hope this helps!

We have,

Radius of the circle = 16 m

We know,

Circumference = 2πr

∴ Circumference = 2π × 16 m = (32π) m.

Answer: y = 1/2x - 9

Step-by-step explanation:

Slope formula is y = mx + b

Substitute

y = 1/2x - 9

Answer:

y = 1/2x - 9

Step-by-step explanation:

Substitute for y=mx+b

Answer:

[tex]P(x)=x^2+x-6[/tex]

Step-by-step explanation:

Quadratic Polynomial

Assume we have a polynomial factored as:

P(x)=a(x-m)(x-n)

Where m and n are the zeros of P(x).

Operating:

[tex]P(x)=a(x^2-(m+n)x+mn)[/tex]

Note the coefficient of x is the negative sum of the zeros and the independent term is the product of the zeros.

If we are given the zeros m=-3 and n=2, then:

[tex]P(x)=a(x^2-(-3+2)x+(-3)(2))[/tex]

[tex]P(x)=a(x^2+x-6)[/tex]

We can choose any value for a, for example, a=2:

[tex]P(x)=2x^2+2x-12[/tex]

For a=1:

[tex]P(x)=x^2+x-6[/tex]

Answer:

10 books per box

Step-by-step explanation:

40÷4

=10

10×4= 40

9514 1404 393

Answer:

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = (1/2)bh

The base and height of a right triangle can be taken to be the leg lengths, since each is perpendicular to the other.

  A = (1/2)(6 ft)(7 ft) = 21 ft² . . . . base area

__

The volume is the product of the base area and the height:

  V = Bh

  V = (21 ft²)(5 ft) = 105 ft³ . . . . volume

Answer:

left down

Step-by-step explanation:

do you want an explanation?

- don't know what you mean, but maybe the graph?

Answer:

27.5

Step-by-step explanation:

y=consx

y=x

y=27.5

Answer:

121

Step-by-step explanation:

you can either set up a proportion or a table (i inserted a picture for both ways!) After setting up a table you would calculate how much it is to get from 2.5 to 27.5 (so you divide 27.5/2.5) to get 11. Then you move to the y side of the table where you would have to multiply 11×11 to get your answer (which is 121)

Given :

Kim drives 156 miles from rother ham to London she drives at an average speed of 60 miles per hour she leaves rother ham at 7:30 am .

To Find :

Can she arrive before 10:00 am.

Solution :

Time taken to cover 156 miles with speed of 60 miles per hour.

[tex]t= \dfrac{Distance}{Time\ taken}\\\\t = \dfrac{156}{60}\ hour\\\\t = 2.6\ hours[/tex]

To arrive before 10:00 am she has only 2.5 left.

But time taken is 2.6 hours which is greater than 2.5 hours.

Therefore, Kim cannot arrive there before 10:00 am.

Answer:

10am

Step-by-step explanation:

Step-by-step explanation:

-7 >= -5r + 3

-10 >= -5r (subtract 3 from both sides)

2 <= r (divide -5 on both sides and flip the sign)

Hence we have r is greater than or equal to 2.

The only set that satisfies this is {2, 4, 6, 8}. (G)

If we increase £101 by 16% then it would be £117.16

"It is the number that can be expressed as a fraction of 100."

For given example,

we need to increase £101 by 16%

First we find the 16 percent of £101

16% of £101 = 101 × (16/100)

16% of £101 = 101 × 0.16

16% of £101 = £16.16

So,  if we increase £101 by 16% then it would be,

£101 + £16.16 = £117.16

Therefore, if we increase £101 by 16% then it would be £117.16

Learn more about the percentage here:

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Answer:

ΔSVX ≅ ΔUTX                      Given

SV // TU                                 Given

SV ≅ TU                                Corresponding part of congruent triangle

VUTS parallelogram               Definition of parallelogram.

Step-by-step explanation:

The given figure VUTS is a parallelogram.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that,

SV ║TU

Also ΔSVX ≅ ΔUTX

Since both the triangles are congruent, corresponding sides are equal.

SV = UT

SX = UX

VX = TX

Consider two triangles ΔVUX and ΔSTX.

Already we have 2 corresponding sides of these triangles are equal from above.

So third side is also equal.

Since US is a transversal line that cuts the parallel lines VS and UT, ∠VUX = ∠TSX (alternate interior angles)

Similarly, VT is also a transversal line that cuts the parallel lines VS and UT,

∠UVX = ∠STX

So the two lines VU and ST are parallel.

Hence the figure is parallelogram since opposite sides are equal and parallel.

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Answer:

-6

Step-by-step explanation:

Answer:

I think it's 3+(-4)

Hope this helps

Answer:

It is 9 students.

Step-by-step explanation:

You times 15 students and 60% and you get 9 students.

Answer:

yes, the last one because 81 + 144 = 225

Step-by-step explanation:

Answer:

D. yes because 9^2 + 12^2 = 15^2.

Step-by-step explanation:

Got a 100% on meh test

Answer:

23.3

Step-by-step explanation:

Answer:

$23.30

Step-by-step explanation:

Answer:

$22.00

Step-by-step explanation:

19.95x8%=1.596

19.95+16=21.55

Answer:

$20,000.00

Step-by-step explanation:

90% = 0.90

18000/0.90 = $20,000

CHECK

0.90 x $20,000 = $18,000