Veronica and Helga both have collections of trading cards.

Veronica has 752 trading cards.
Veronica has 16 times as many trading cards as Helga.
If Veronica and Helga put their cards together, how many cards would there be?

Answer:

9 x + 8 y = 10   (I)

y = -4x + 7        (II)

One way is to rewrite the second as

4x + y = 7

Now multiply this equation by 8

32 x + 8 y = 56

9 x + 8 y = 10        and now subtract the equations

23 x = 46     this gives x as 2

From equation (II)  y = -4 (2) + 7  = -1

So our values are (2, -1)

Check:

(I) 9 x + 8 y = 10         9 * 2 - 8 = 10

(II)  4 x + y = 7       or 4 * 2 - 1 = 7

Or you can substitute equation (II) directly into equation (I)

Answer:

x = 3

Step-by-step explanation:

12x =  36

There is only one step

Divide both sides by 12

x = 3

Answer: what he said

Step-by-step explanation:..

Answer:

0.50

Step-by-step explanation:

The sample proportion to be found for 98% confidence interval is

D. 0.50.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.

Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability.

Given, Sample = (0.47, 0.53).

Confidence interval = 98%.

Therefore, The sample proportion is,

= (0.47 + 0.53)/2.

= 1/2.

= 0.5.

So, The sample proportion is 0.50.

learn more about confidence intervals here :

https://brainly.com/question/24131141

#SPJ7

Answer:

29/25 because it's 1.16, which is smaller than 1.3 (13/10), 1.2 (6/5), and 1.25 (5/4)

Step-by-step explanation:

13/10 is 1.3

6/5 is 1.2

5/4 is 1.25

29/25 is 1.16

Answer:

(- 3/13, 56/13)

Step-by-step explanation:

See steps below:)

Answer: 1/25

Step-by-step explanation:

Number of balls = 10

Number of purple balls = 2

Since it's probability with replacement,

Probability of picking a purple ball the first time = 2/10 = 1/5

Probability of picking a purple ball the second time = 2/10 = 1/5

Therefore, the probability of picking a purple ball both times will be:

= 1/5 × 1/5

= 1/25

Answer:

18/80 = 9/40

Step-by-step explanation:

Answer: the base should be 10

Step-by-step explanation:

Answer:

Area = 77.1

Step-by-step explanation:

The are of a right triangle is

[tex] \frac{1}{2} \times base \times height[/tex]

our base and height are 6 for both triangles, so we shall find the area of one of the triangles...

[tex] \frac{1}{2} \times 6 \times 6 = 18[/tex]

multiply this by 2

[tex]2 \times 18 = 36[/tex]

Now find the area of the whole circle

[tex]area = \pi {r}^{2} [/tex]

our radius is 6, therefore:

[tex]area = \pi {6}^{2} = 113.1[/tex]

Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer

[tex]113.1 - 36 = 77.1[/tex]

Answer:

Exact Area = 36pi - 36  square meters

Approximate Area = 77.04 square meters (when using pi = 3.14)

================================================

Explanation:

The circle has radius r = 6 meters. The area of the circle is...

A = pi*r^2

A = pi*6^2

A = 36pi

This is the exact area in terms of pi.

Because we have two right triangles, and each right triangle has the same leg length, we can effectively use the SAS theorem to prove the triangles are congruent. Therefore, both of the triangles shown have the same area. One triangle is a rotated copy of the other.

The area of one of the triangles is base*height/2 = 6*6/2 = 18 square meters. That means two of them combine to an area of 18*2 = 36 square meters.

Subtract this from the area of the circle to get the green shaded area

green area = (circle area) - (triangle areas)

green area = (36pi) - (36)

green area = 36pi - 36

This is the exact area in terms of pi. If you want the approximate area, then replace pi with its approximate value. Let's say we go for pi = 3.14

That means,

green area = 36pi - 36

green area = 36*3.14 - 36

green area = 77.04 square meters approximately

Use more decimal digits in pi to get a more accurate area value.

Answer:

The average rate of change cover the given interval is -6

Step-by-step explanation:

The average rate of change of a function over a range can be calculated by;

f(b) - f(a)/b-a

f(b) and f(a) refers to the respective y values of the x values a and b

Since we have a and b, we can get f(a) and f(b) from the plot

From the graph, since a = 0, f(a) is the y-intercept = 6

b = 1

f(b) = 0

So we have the slope as

= (0-6)/(1-0) = -6/1 = -6

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex] \sqrt{66 - 4 + 2} \\ = > \sqrt{62 + 2 } \\ = > \sqrt{64} \\ = > 8[/tex]

Answer:

[tex] \sqrt{66 - 4 + 2} [/tex]

[tex] \sqrt{64} [/tex]

[tex] \sqrt{8²} [/tex]=±8 is a required answer

Answer:

I'm pretty sure it's 13 sorry if I am wrong

Answer:

7.1 meters

Step-by-step explanation:

Use the pythagorean theory:

10 would be the hypotenuse

7 would be one of the legs

and x (or whatever variable you'd like) would be the other leg.

7^2+x^2=10^2

49+x^2=100

subtract 49 from both sides

x^2=51

take the square root on both sides

x is approximately 7.1

Answer:

Cup cakes= $3

Bear claws = $10

Step-by-step explanation:

Let the orice of cupcakes be x and the price of bear claws be y

5x+ 3y= 45

4x + 6y= 72

Multiply equation 1 by 4 and equation 2 by 5

20x + 12y= 180

20x + 30y= 360

-18y= -180

y= 10

Substitute 10 for y in equation 1

5x + 3(10)= 45

5x + 30= 45

5x = 45-30

5x= 15

x= 15/5

= 3

Hence the price of cup cakes is 3 and bear claws is $10

Answer:

26 in²

Step-by-step explanation:

Area of a triangle

a = (1/2)base * height

base = 10 + 3 = 13

a = (1/2)(13) * 4

a = 26

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

Answer:

r =3j

Step-by-step explanation:

r = raul

j = juan

r = 3x

x=j

r = 3j

Answer:

See explanation!

Step-by-step explanation:

A = Reflection

B= Rotation

C= Translation

D= Dilation

Answer:

69

Step-by-step explanation:

167-152=15

This is the number of people that only brought pens

167-84=83

This is the number of people that only brought pencils.

167-15-83=69

This is the number of people that brought both pencils and pens.

Answer:

a) [tex]32[/tex]

b) [tex]25[/tex]

d) [tex]30[/tex]

Step-by-step explanation:

[tex](2 \times 2 \times 2 \times 2 \times 2 \times)[/tex]

[tex]32[/tex]

[tex](5 \times 5 × 5)[/tex]

[tex]125[/tex]

[tex] \sqrt{ {30}^{2} } [/tex]

[tex]30[/tex]

Answer: [tex]6^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature in Canada at 6 am  on Christmas was [tex]-5^{\circ}C[/tex]

By noon the temperature had risen by [tex]11^{\circ}C[/tex]

So, the temperature  in Canada at  noon is

[tex]\Rightarrow -5+11\\\Rightarrow 6^{\circ}C[/tex]

Answer:

504 km

Step-by-step explanation:

Answer: Solution

−

2

+

2

−

2

x

+

x

2

−2x+2x​

Step-by-step explanation: Divide the numbers

2

−

1

⋅

2

2

⋅

−

3

+

2

4

⋅

2

x

Multiply the numbers

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

2

−

−

3

+

2

4

⋅

−

1

⋅

2

2

⋅

x

−

3

x

+

2

4

⋅

x

2x−1⋅22​⋅x−3x+42​⋅x

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

Divide the numbers

2

−

−

3

+

2

4

⋅

2

x

−

x

−

3

x

+

2

4

⋅

x

2x−x−3x+42​⋅x

2

−

−

3

+

1

2

2

x

−

x

−

3

x

+

1

2

x

2x−x−3x+21​x

The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.

Here, radius = [tex]\frac{14}{2}[/tex]

= 7 mm

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the formula to find the volume of a cylinder is [tex]\pi r^2h[/tex].

Here, the volume of a cylinder = 3.14×7²×10

= 3.14×49×10

= 1538.6 cubic millimeter

Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ4

Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

Answer:

4/6

Step-by-step explanation:

→ Write the slope formula

(y₂ - y₁) ÷ (x₂ - x₁)

→ Substitute in the numbers

(3 - -1) ÷ (4 - -2)

→ Simplify

4/6

Answer:

m = 2/3

Step-by-step explanation:

Answer:

1. 102 ft^2     2. 33 ft^2     3. 112 ft ^2

Step-by-step explanation:

you have to find the area of each section of each shape, then add

Answer:

1.233 2.92.35 4.28474

Step-by-step explanation:

jwksjeususbus6s6s6vsv6w7bw78wb7w6ev6ezeubehu