Christopher drove 199.5 miles in 3.5 hours. If he drove at a constant speed, how far did he drive in one hour? *

There are 52 cards in the deck.

Picking a spade would be 13/52 which reduces to 1/4

After the first card is picked there are 51 cards left, picking a club would be 13/51

Picking both would be 1/4 x 13/51 = 13/204

The answer is C.

Answer:

D

Step-by-step explanation:

each angle of the triangle is 95° and the second angle has to be in alphabetical order

The true statement is ∠BAC + ∠ABC = 95°

An angle is a figure formed by two rays or lines that share a common endpoint, called the vertex.

Angles can lie in a plane or be formed by the intersection of two planes or two curves. A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees.

Given is a figure, we need to find the correct answer from the option,

We know that,

The sum of two opposite interior angles of a triangle is equal to the measurement of the exterior angle.

Therefore,

∠BAC + ∠ABC = ∠ACD

∠BAC + ∠ABC = 95°

Hence, the true statement is ∠BAC + ∠ABC = 95°

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Answer:

$96

Step-by-step explanation:

56/7=x/12

8=x/12

8*12=x

x=96

Step-by-step explanation:

3

Answer:

10.54 kg

Step-by-step explanation:

Here, we are interested in calculating the amount in kilograms of blueberries the science camp started with.

Now let’s take a look at the question once again;

after serving half of the blueberries with breakfast, the amount of berries remaining is 5270 g

What this means is that 1/2 of the berries correspond to 5270 g and the other half too will be 5270 g

Thus, the total will be 5270g + 5270g = 10,540 g

Now the question asks us to calculate our answer in kilograms.

Mathematically, 1000g = 1kg

Thus 10,540 g = xkg

Thus x = (10 540 * 1)/1000 = 10.54 kg

Assuming this is a trapezoid:

(b1+b2)/2*h

(9+16)/2*13.4

25/2*13.4

12.5*13.4=167.5

Answer:

167.5

Answer:

The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).

Option B = -3 is correct.

Hope this helps!

:)

The y intercept value is option (B) -3

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis

Given

x intercept value = -4

From the graph we can say that y intercept value = -3

The y-intercept is the point where the line crosses the y-axis that is -3

Hence, the y intercept value is option (B) -3

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Answer:

$128

Step-by-step explanation:

We can model this as an exponencial function, as the value earned each day doubles:

P = Po * r^t

Where P is the value after t days, Po is the inicial value and r is the rate.

In this case, we have r = 2 and Po = 0.25 (so for t=1 we will have P = 0.5).

The equation will be:

P = 0.25 * 2^t

Then, for t = 9, we have:

P = 0.25 * 2^9 = $128

Answer:  x=1

They all have 1 for their x coordinate; 'nuff said.

Answer:

h = V/lw and the height = 6cm

Step-by-step explanation:

h = V/lw

V= [tex]96cm^{3}[/tex]

l = 8 cm

w = 2cm

V/lw = 6

Thus, the height = 6cm

Answer:

1/12 my guy

Step-by-step explanation:

There really isn't one

Answer:

Would be 0.08333 or 1/12

Step-by-step explanation:

Total what she made.

5.25 + 4.40 = 9.65

Total what she spent:

3.75 + 2.25 = 6.00

Subra to the amount spent from the amount earned:

9.65 -6.00 = 3.65

She has $3.65 left

Answer:

Step-by-step explanation:

10 minutes

if it took her 16 minutes to read 8 pages then that means it takes her 2 minutes to read one page. 2 times 5 is 10

Answer:

Step-by-step explanation:

It would be ten. Because it took her 16 minutes to read 8 pages and 8 pages times 2 minutes each page = 16 minutes, so 5 pages times 2 minutes each page = 10

Answer:

8+2=10

Step-by-step explanation:

You could switch the numbers around.

Answer:

The overview of the specific problem is outlined in the following section of the explanation.

Step-by-step explanation:

So that the above is the right answer.

Answer:

Step-by-step explanation:

Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:

3, x, y, z, 48/625

Using the nth term of a geometric sequence to find the missing term.

[tex]Tn = ar^{n-1}[/tex] where:

a is the first term

n is the number of terms and

r is the common ratio

From the sequence, a = 3

[tex]T5 = 3r^{5-1} \\T5 = 3r^{4}[/tex]

Since the fifth term is 48/625 then:

[tex]3r^{4}=\frac{48}{625} \\r^{4}= \frac{48}{625*3} \\r^{4} = \frac{16}{625} \\r=\sqrt[4]{\frac{16}{625} } \\r = \frac{2}{5}[/tex]

To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.

[tex]T2 = 3(\frac{2}{5} )^{2-1}\\ T2 = 3*2/5\\T2 = 6/5[/tex]

when n = 3;

[tex]T3 = 3(\frac{2}{5} )^{3-1}\\ T3 = 3*(\frac{2}{5} )^{2} \\T3= 3*4/25\\T3 = 12/25[/tex]

when n = 4;

[tex]T4 = 3(\frac{2}{5} )^{4-1}\\ T4 = 3*(\frac{2}{5} )^{3} \\T4= 3*8/125\\T4 = 24/125[/tex]

The three positive geometric mean are 6/5, 12/25, 24/125

Answer:

A

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

total angle of a triangle is 180°

we are given 2 angles

85+40+ x = 180

180-125 = 55° (x)

Answer:

6x squared

Step-by-step explanation:

Answer:

Three-tenths x squared

Step-by-step explanation:

i just did this

Answer:

C. Outside the circle

I hope this helps

Answer:

The dilation will create a similar rectangle with sides of half the length of the original rectangle

Answer:

Its B for the people who dont know what the other guy was talking about

Step-by-step explanation:

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

A(t) = B(t)

3t = 30 - 6t

9t = 30

t = [tex]\frac{30}{9}[/tex]

t = 3.33

Answer:

192[tex]feet^3[/tex]

Step-by-step explanation:

The formula for the area of a rectangle is : [tex]length*width[/tex]

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

[tex]6*4=24[/tex]

2) Multiply 24 by 8.

[tex]24*8=192 feet^3[/tex]

Answer:

cool cool no c um hi hi hi hi hi hi hi hi hi hi hi hi hu x

Answer:

4

Step-by-step explanation:

According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."

Answer:

9 (C)

Step-by-step explanation:

sqrt(15^2 - 12^2) =

sqrt(225 - 144) =

sqrt(81) =

9 (C)

Answer:

C. 9m

Step-by-step explanation:

Using the pythagorean theorem, you can find that the length of the last side is [tex]\sqrt{15^2-12^2}=\sqrt{225-144}=\sqrt{81}=9[/tex]. Hope this helps!

Answer:

1.) Circumference of circle A = 131.95 metre

2.) Circumference of circle B = 175.93 metre

3.) Yes. Radius is proportional to the circumference.

Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters

Circumference of a circle = 2πr

For circle A

Radius r = 21

Circumference = 2 × 3.143 × 21

Circumference = 131.95 metre

For circle B

Circumference = 2 × 3.143 × 28

Circumference = 175.93 metre

Is the relationship between the radius of a circle and the distance around the circle the same for all​ circles? YES

Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference

Answer:

1.2 units

Step-by-step explanation:

2.6(d + 1.4) - 2.3d = 4

2.6d + 3.64 - 2.3d = 4

0.3d + 3.64 = 4

0.3d = 0.36

d = 1.2

Answer:

y = -0.078 x² + 8.407 x − 92.892

Step-by-step explanation:

Use a calculator or spreadsheet to find the least squares regression equation.

Answer:

  y = -0.078x^2 +8.407x  -92.892

Step-by-step explanation:

Any of various graphing calculators, spreadsheets, or statistical analysis tools can give you the coefficients for a quadratic regression.

Attached is the output of a graphing calculator. Rounded to thousandths, the equation is ...

  y = -0.078x^2 +8.407x  -92.892

Answer:

h_max = 12.56 units

(the exercise does no specify the units)

Step-by-step explanation:

You have the following function:

[tex]h(t)=-16t^2+6t+12[/tex]    (1)

To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:

[tex]\frac{dh(t)}{dt}=-32t+6[/tex]

Next, you equal the result of the derivative to zero and you obtain t:

[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]

Then, you replace this value of t in the equation (1) and you obtain the maximum height:

[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]

[tex]h(t)=12.56[/tex]

hence, the maximum height is 12.56 units