In a class book order, 2/3 of the books are fantasy and 1/4 of the books are biography. If the order contains 60 books, how many books are either fantasy or biography?

Answer:

Sofia will be 19 years old

Step-by-step explanation:

First:

What know that David is 30 right now.

David=30

We also know that David is 7 years older than Mark, meaning that David-7=Mark

30-7=23        -Mark

And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,

23-4=19        -Sofia

So in conclusion...

SOFIA: 19  

MARK: 23

DAVID: 30

Answer:

8.75

Step-by-step explanation:

Answer: (9,1)

Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)

Given:

The probability of landing A is 0.70.

The probability of landing B is 0.60.

The probability of landing both is 0.50.

To find:

The probability of landing A given it lands B.

Solution:

We have,

[tex]P(A) = 0.70[/tex]

[tex]P(B) = 0.60[/tex]

[tex]P(A\cap B) = 0.50[/tex]

The probability of landing A given it lands B is

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{0.50}{0.60}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{5}{6}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=0.8333...[/tex]

[tex]P\left(\dfrac{A}{B}\right)\approx 0.83[/tex]

Therefore, the probability of landing A given it lands B is about 0.83.

Answer:

angle 6 is equal to 70° vertically opposite angle on the same side of transeversal.

Answer:

(20×20)+(2×20×30)

400+1200

1600inches^2

Answer:

1600 in^2

Step-by-step explanation:

We only have to add the areas of one square in the centre and 4 surrounding triangles.

area of the square=20×20=400 in^2

area of one triangle=1/2×20×30=300 in^2

area of four triangles=4×300=1200 in^2

So, total surface area of the square pyramid=400+1200=1600 in^2

*The units given should be in^2.

Answer:

Step-by-step explanation:

This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.

The original hexagon has the area of:

Answer:

(4/3)^98units.

Step-by-step explanation:

By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.

Answer:

[tex]Volume = x^3y^4[/tex]

Step-by-step explanation:

Given

[tex]Length = xy^2[/tex]

[tex]Height = y^2[/tex]

[tex]Width = x^2[/tex]

Required

Determine the volume

The volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = xy^2 * x^2 * y^2[/tex]

This gives:

[tex]Volume = x^3y^4[/tex]

Answer:

The exponent of the variable of this equation is 2.

And here's the solution to the equation:

[tex]x^{2} +8=5[/tex]

[tex]x^{2} = 5 - 8[/tex]

[tex]x^{2} = -3[/tex]

[tex]x[/tex] ∉ R

Answer:B

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Given:

Consider the given expression is

[tex]\log_59+\log_521-\log_57[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_59+\log_521-\log_57[/tex]

It can be written as

[tex]=\log_5(9\times 21)-\log_57[/tex]       [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]

[tex]=\log_5\dfrac{9\times 21}{7}[/tex]       [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]

[tex]=\log_5(9\times 3)[/tex]

[tex]=\log_527[/tex]

Therefore, the simplified form of the given expression is [tex]\log_527[/tex].

Answer:

9.5 I think

STEPS-

9+4+11+14=38

38/4=9.5

Answer:

145

Step-by-step explanation:

Its the opposite angle of 145

Answer:

14

Step-by-step explanation:

Add all values in "Times spun".

9 + 11 + 7 + 9 + 7 + 7

= 50

The spinner was spun a total of 50 times in the table.

We are looking for information if the spinner is spun 100 times, which is double of 50.

To predict information for spinning 100 times, double the data given in the table.

# of times "5" was spun for 50 spins (in table): 7

Double 7:

7 * 2 = 14

# of times "5" will likely be spun for 100 spins: 14

Or, solve using proportions:

The proportions are given in: (times "5" was spun)/(total spins)

[tex]\frac{7}{50} = \frac{?}{100}[/tex]

Since you double 50 to make 100, double 7 to solve for "?"

[tex]\frac{7}{50} = \frac{14}{100}[/tex]

∴ if you spin the spinner 100 times, you will spin "5" 14 times.

Answer:

14

Step-by-step explanation:

7 * 2 = 14

Answer:

See below, please!

Step-by-step explanation:

[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.

Hope this helped!

Answer:

D. 13.02

Step-by-step explanation:

Apply trigonometric function to find the height (h) of the wall.

Reference angle = 40°

Hypotenuse = 17 ft

Adjacent = h (height of the wall)

Apply CAH:

Cos 40 = Adj/Hyp

Cos 40 = h/17

17*Cos 40 = h

13.0227555 = h

h ≈ 13.02 ft

Answer:

$4.98

Step-by-step explanation:

50*16%=8 (pennies), 50*40%=20 (dimes)

8+5=13 (nickels), 50-(8+20+13)=9 (quarters)

So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98

ANSWER: $4.98

Steps for pennies:

1.) 50 * .16 = 8

8 pennies out of 50 coins

2.) 1 cent * 8 = 8 cents

Steps for dimes:

1.) 50 * .40 = 20

20 dimes out of 50 coins

2.) 10 cents * 20 = 200 cents = $2

Steps for nickels:

1.) 8 + 5 = 13

13 nickels out of 50 coins

2.) 5 cents * 13 = 65 cents

Steps for quarters:

1. 8 + 20 + 13 = 41

2. 50 - 41 = 9

3. 9 * .25 = $2.25

FINAL STEP:

8 cents + $2 + 65 cents + $2.25 = $4.98

ANSWER: the bag contained $4.98

*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50

50% = .50

Answer:

a

Step-by-step explanation:

Answer:a and b

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

∠ABC = 63.26°

Step-by-step explanation:

cos ∠ABC = (9/2)/10

cos ∠ABC = 0.45

∠ABC = 63.26°

Answer:

45/8 cubic cm

Step-by-step explanation:

The volume of a prism can be determined using the formula below.

Volume = length × width × height

Since each cube measures  of a centimeter on one side, then the dimensions of the prism are shown below.

Length = 5 x 1/2 cm

Width = 3 x 1/2 cm

Height = 3 x 1/2 cm

Answer:

5/3

Step-by-step explanation:

Answer:

-1/2x + 4.5

Step-by-step explanation:

Find out the slope by substituting the values in the formulas.

y2 - y1 / x2 - x1      6 - 2 / -3 - 5

-1/2

Now find the y-intercept.

y = mx + b

6 = -1/2 (-3) + b

6 = 3/2 + b

9/2 = b

Answer:

1504

Step-by-step explanation:

3472-1968=1504

CHECK

1968+1504=3472

Answer:

256

Step-by-step explanation:

Answer:

16 is the answer because 64/4 is 16 so 16*4 is 64 meaning that there are 16 books on each shelf

Step-by-step explanation:

hope this helped

Answer:

Vc = (π/3)✓17 ≈ 4.12 ft³

Step-by-step explanation:

h = ✓(4²+1²)

h = ✓17

V = πr²h/3

V = π(1)²✓17/3

V = (π/3)✓17 ≈ 4.12

Answer:

In each family functions, the parent function is the most basic function in the family.

In each family of functions, the parent function is the most basic function

A linear function is represented as:

y = mx + b

A quadratic function is represented as:

y = ax^2 + bx + c

The above and others of similar formats are the most basic of their families, and they are referred to as the parent function

Read more about parent function at:

https://brainly.com/question/17079244

#SPJ6

Answer:

uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.

Step-by-step explanation:

The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.

The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two

Answer:

45

Step-by-step explanation:

Answer:

7. A

8. C

Step-by-step explanation:

7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)

8. 2(3a)^2 - 3(3a) + 4 = C