Mary bought 2 large popcorn buckets and 4 small drinks for $20. Linda bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost for the large popcorn and the small drink?

Answer:

#1

#2

#3

Answer:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2

Answer:

7x^3-7x^2+14x

Step-by-step explanation: hope I helped

Answer:

y = -14

Step-by-step explanation:

3y = -42

Divide both sides by 3:

y = -14

Answer:

-14

Step-by-step explanation:

-42 divided by 3 =-14

Area of the blue region is 61 units²

Therefore,

r = radius

Area of the blue region  = area of semi circle - area of triangle

Therefore,

area of triangle = 1/bh

where

b = base

h = height

Therefore,

area of triangle = 1 / 2 × 12 × 16 = 96 units²

area of semi circle = 3.14 × 10² /  2 = 157 units²

Area of the blue region  = 157 - 96 = 61 unit²

learn more on semi circle here: https://brainly.com/question/24887556

Answer:

46

explanation:

its supposed to make up 180 so you will subtract 180 from 134 and thats your answer

Answer:

35 litres of fuel

Step-by-step explanation:

420 ÷ 12 = 35 litres

Answer:

35

Step-by-step explanation:

420km is needed

1L gives 12km

2L gives 24km

3L gives 36km

...

35L gives 420

Every non-zero complex number has three cube roots. In general, any non-integer exponent, like  

1

3

here, gives rise to multiple values. The way we find them is by multiplying  

z

by 1 before exponentiating. We write  

1

using Euler's Identity to the  

2

k

power for integer  

k

. That's

Answer:

28.27

Step-by-step explanation:

Answer:

x=40

Step-by-step explanation:

x + 320 = 360

   -320     -320

x            =  40

Answer:

x=40

Step-by-step explanation:

So, since the figure has 4 sides, we know that the sum of the interior angles is 360. To check: (n-2)*180=(4-2)*180=28180=360.

That means x equals 360 minus the sum of the other three angles.

100+120+100=320

360-320=40

x=40 degrees

Answer:

4,52

Step-by-step explanation:

32+5x=y

pls let me know is it was right

if it was pls give brainlest

Answer:

they are all even numbers except for 155

Step-by-step explanation:

Answer:C

Step-by-step explanation:

I put it in Desmos calculator and he can only jump 351 ft high

Answer:

Step-by-step explanation:

Friend runs 32/2=16 miles per week

You run 24/3=12 miles per week

Your friend runs (16-12)=4 more miles than you each week.

Answer:

o

Step-by-step explanation:

Answer:

88cm²

Step-by-step explanation:

8 x 8 = 64

14 - 8 = 6

6 x 8 = 48

48 ÷ 2 = 24

64 + 24 = 88

Answer:

4

Step-by-step explanation:

Answer

C = 4

Step by Step

Divide both sides by the numeric factor on the left side, then solve.

c  =  4

Answer:

Step-by-step explanation:

Y-axis is the line of symmetry as it divides the figure into two equal parts

Answer:

9x/4 + 30 + 5x/4

Step-by-step explanation:

[tex]9x/4 +30 +5x/5[/tex]

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (9/4x + 6) - (- 5/4x - 24)

Simplify the expression, then we have

⇒ (9/4x + 6) - (- 5/4x - 24)

⇒ (9/4)x + 6 + (5/4)x + 24

⇒ (14/4)x + 30

⇒ 3.5x + 30

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

Answer:

x = 3 or x = 8

Step-by-step explanation:

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

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Answer:

2 pairs of parallel side: parallelograms

4 right angles: squares

4 right angles and 4 congruent sides: rectangles

4 congruent sides: rhombuses

Step-by-step explanation:

Answer:

ok the perimeter is 10 and the area 6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Basically you are dividing X by 4, meaning the number of boxes, if you took all the mugs out of the boxes there are 55 mugs.

Answer: 88.8 m , 59.2 m

Step-by-step explanation:

Given

Breadth is [tex]\frac{2}{3}[/tex] of length

Suppose length is x m

So, breadth is   [tex]\dfrac{2}{3}x[/tex]

Perimeter is given by [tex]P=2(L+W)[/tex]

Putting values

[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]

Length L is [tex]88.8\ m[/tex]

width W is [tex]\frac{2}{3}x=59.2\ m[/tex]

Answer:

Yes, the expression can be factored to give:

[tex]( {x}^{2} + 4)(x + 2)(x - 2).[/tex]

Answer:

sinB

Step-by-step explanation:

Using trigonometric sum/difference rule -

we can expand the expression to

= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA

= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB

= cos^2(A)sinB + sin^2(A)sinB

= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)

= (1 * sinB)

= sinB

Answer: 2/7 = 8/28

1/4 = 7/28

Therefore Mr Pham mowed more.

8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed.

Mr. Pham mowed more of the lawn than his son.

it still needs ¹³/₂₈ of the lawn to be mowed.

Step-by-step explanation:

Answer: 1/4 is greater than 2/7 mowed most of the lawn.

Step-by-step explanation:

First, draw a fraction model for [tex]\frac{2}{7}[/tex] and [tex]\frac{1}{4}[/tex] and partition it. Then, how ever many you get write it as a fraction. Then, see whose answer is greater.

Answer:

70 degrees

Step-by-step explanation:

Moving from one hour number to the next (12 to 1, 3 to 4, etc) moves the hand of the clock 30 degrees. Using this, we know that the hour hand moved 60 degrees to get to the hour number 2. Then, the angle the hour hand moved because of the minute hand can be calculated by doing (20/60)*30=10. So the final answer would be 70 degrees.

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Proportional relationship:

Using point on the graph (1, 0.5) to find the value of k:

Answer:

85x85x245

Step-by-step explanation: