Anna, Betty and Candy shared a box of sweets. Anna took 8 more than 1/3 of the number of sweets in the box. Betty took 18 more than half of the remaining number of sweets . If Candy took the last 6 sweets, how many sweets were there in the box at first?

answer:

3/11

step-by-step explanation:

— since they have the same denominator you just have to subtract the numerator

8 / 11 - 5 / 11 = it would be just subtracting 8 - 5, which is 3

— so, 3/11

Hey there!

8/11 - 5/11

= 8 - 5 / 11 - 0

= 3 / 11

Therefore, your answer is: 3/11

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

-3

Step-by-step explanation:

The line crosses at -3 on the x axis

Answer:

13 inches and 10 inches

Step-by-step explanation:

First, let's find the factor pairs that make up the area of 130 square inches.

Next, let's see the factor pairs that make a perimeter of 46 inches by using the formula 2(l + w).

Therefore, the dimensions of the folder are 13 inches and 10 inches.

Answer:

[tex]y=-3x+-5[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-3, 4) = (x1, y1)
Point B = (0, -5) = (x2, y2)

To find the slope intercept of a line we must first find the slope, using the formula for slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-5-4}{0--3} =\frac{-9}{3}[/tex]
[tex]\frac{-9}{3} \div3=\frac{-3}{1} =-3[/tex]
[tex]m=-3[/tex]

Now to find the slope intercept of a line, we must use the formula to find the slope intercept and solve for b.

[tex]y=mx+b[/tex]
[tex]m=-3[/tex]
[tex]y=4[/tex]
[tex]x=-3[/tex]
[tex]4=-3(-3)+b[/tex]

Solve for b:
[tex]4=-3(-3)+b[/tex]
[tex]-3\times-3=9[/tex]
[tex]4=9+b[/tex]
[tex]9-9=0[/tex]
[tex]4-9=-5[/tex]
[tex]b=-5[/tex]
[tex]y=-3x+-5[/tex]

The slope intercept of the line is "y = -3x +-5."

Hope this helps.

Answer:

-2/9

Step-by-step explanation:

108/360 x 100% = 30%

Answer:

Step-by-step explanation:

237 + 462 ~ 200 + 500 = 700

462 is rounded to hundred. ten's place 6 is there which is ≥ 5. If it is ≥ 5then add 1 to hundred's place.

462 ` 500

Answer:

Oliver pays $6.30

Step-by-step explanation:

Selling price = $15

At discount of 40%, Jinkie's Jumpin' Junkfood's sells for;

[tex]15-(15~x~0.4)=15-6[/tex]

[tex]15-(15~x~0.4)=9[/tex]

But Oliver also has a coupon worth 30% discount off the same price at register;

[tex]9-(9~x~0.3)=9-2.7[/tex]

[tex]9-(9~x~0.3)=6.3[/tex]

Thus, Oliver pays $6.30

Answer:

The Table is Correct

Step-by-step explanation:

You find probability by multiplying and that is what they did

[tex]0.52*0.52=0.2704\\0.52*0.48=0.2496\\0.48*0.48=0.2304[/tex]

The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.

y² = x

Take the derivative of both sides with respect to x, assuming y = y(x) :

2y dy/dx = 1

dy/dx = 1/(2y)

Solve for y when dy/dx = 1 :

1 = 1/(2y)

2y = 1

y = 1/2

When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.

This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :

x = y²   ⇒   y = y² + 3   ⇒   y² - y + 3 = 0

has no real solution for y.

Answer:

21-9 = 12

Step-by-step explanation:

I don't know if this is the correct sentence you are looking for though but i hope it helps

Answer:

x > -2

Step-by-step explanation:

x+8+3x>2x+6

4x+8>2x+6

4x-2x>6-8

2x> -2

x > -2

So, how far is the car from where it was at t = 0 is 40 m

Since the location x of the car in meters is given by the function x = 30t - 5t² where t is in seconds, we need to find the time at which its velocity is 10 m/s in the negative direction by differentiating x with respect to t to find its velocity, v.

So, v = dx/dt

= d(30t - 5t²)/dt

= d30t/dt - d5t²/dt

= 30 - 10t

When v is 10 m/s in the negative direction, v = -10 m/s.

So, v = 30 - 10t

-10 = 30 - 10t

-10 - 30 = -10t

-40 = -10t

t = -40/-10

t = 4 s

Since at t = 4 s, its velocity is -10 m/s and x = 30t - 5t² is the car's location. The car's distance from t = 0 after its velocity is -10 m/s is

x(4) - x(0) = 30(4) - 5(4)² - [30(0) - 5(0)²]

= 120 - 5(16) - [0 - 0]

= 120 - 80 - 0

= 40 m

So, how far is the car from where it was at t = 0 is 40 m

Learn more about distance of car here:

https://brainly.com/question/17097458

Answer:

see explanation

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

22 - 18 < x < 22 + 18

4 < x < 40

3rd side can be any value from 5 to 39

Answer:

[tex]\mathsf{x=\dfrac{35}{2}}[/tex]  or  [tex]\mathsf{x=17.5}[/tex]

Step-by-step explanation:

Given:

Let x = number of hours worked

⇒ 6.5x = 113.75

[tex]\implies \mathsf{x=\dfrac{113.75}{6.5}}[/tex]

[tex]\implies \mathsf{x=\dfrac{35}{2}}[/tex]

[tex]\implies \mathsf{x=17.5}[/tex]

[tex] \sf \frac{8 {x}^{2} }{12 {x}^{4} } [/tex]

Reduce the like terms with a common factor 2

[tex] \sf \frac{8}{12 {x}^{2} } [/tex]

Reduce the fraction with 4

[tex] \sf \frac{2}{3 {x}^{2} } [/tex]

Answer:

B) Least 10 hours, greatest 14 hours

Step-by-step explanation:

The range of sin(x) is -1 ≤ sin(x) ≤ 1

Therefore, the range of  [tex]\sin(\frac{\pi }{6}t)[/tex]  is  [tex]-1\leq \sin(\frac{\pi }{6}t)\leq 1[/tex]

Therefore, the range of  [tex]2 \sin(\frac{\pi }{6}t)[/tex]  is  [tex]-2\leq 2 \sin(\frac{\pi }{6}t)\leq 2[/tex]

This means the range of  [tex]2 \sin(\frac{\pi }{6}t)+12[/tex]  is  [tex]10\leq 2 \sin(\frac{\pi }{6}t)+12\leq 14[/tex]

Answer:

national aeronautics and space administration

Step-by-step explanation:

nasa was started on October 1 ,1958 as a part of united States

1.) We cannot construct a triangle if two of its angles are of measures

We cannot construct such angle because when one angle is 90°, others cannot be close to it because it will form a right angle triangle and we know that it has 3 angles. Also if the angle will 95°, it will be wrong since the sum of all angles must be 180°...

Answer:

95,90

Step-by-step explanation:

According to angle sum property the sum of angles of a triangle is 180°

So here that be x

Angle can't be negative

Answer:

Translations reflections, and rotations

are

Step-by-step explanation:

Hope this helps

Question 1 : Translations Reflections, And Rotations

Question 2 : And

◊ YusuCr ◊

Answer:

The answer is 5/12

To solve this, we first have to find a common denominator between the three fractions.

To find a common denominator, which is a multiple that all of the bottom parts of the fractions share, we just have to start guessing.

What is a multiple 4, 3, and 2 all share?

Well, 3 and 2 both share the multiple 6, but 4 doesn't.

What about 12?

4 x 3 = 12

3 x 4 = 12

2 x 6 = 12

All of the numbers share the common denominator of 12

So, we have to multiply all the top numbers now.

5 x 3 = 15

1 x 4 = 4

1 x 6 = 6

So here are our 3 new fractions:

15/12 - 4/12 - 6/12

Now this is a lot easier to solve

15/12 - 4/12

15 - 4 = 11

11/12

11/12 - 6/12

11 - 6 = 5

5/12

The answer is 5/12

Answer:

59m

Step-by-step explanation:

280 =81+81 +w + w

280=162+2w

2w =280-162

w=118/2

w=59m

Answer:

289.4=289.400

Step-by-step explanation:

They're the same it's just that 289.400 has the extra zero's which can make it seem like they're different but they have the same value so they're equal to each other.

Answer:

Volume is 75 ft^3

Step-by-step explanation:

v1=1x1x5 v2=5x7x2

v1=5 v2=35x2

v=5+70

v=75

Answer:

a₂₀ = 60

Step-by-step explanation:

Given :-

a₃ = 9

a₈ = 24

To find :-

a₂₀

Solving :-

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

Final answer :-

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

a₂₀ = 60

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is [tex]a_n = a(r)^{n-1} = 6(0.5)^{n-1}[/tex] which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)