Jamaal has 20 models of planes and cars. He has three times as many cars as planes. What is the ratio of his cars to total models? 1/4 3/1 3/4 4/3

Answer:

≈37.7 feet

Step-by-step explanation:

I'm assuming he goes diagonally.

We can form a triangle with legs 20 feet and 32 feet.

Using the Pythagorean Theorem, we get:

[tex]20^2+32^2=c^2\\400+1024=c^2\\1424=c^2\\c^2=1424\\c=\sqrt{1424}\\[/tex]

c≈37.7

Answer: 37.7 ft

Step-by-step explanation:

20^2 + 32^2 = C^2 where c squared is the distance of the diagonal distance that  he wants to walk.

20^2 +32^2 =c^2

400 +1024 =c^2

1424 = c^2

c= 37.7359  rounded to the nearest tenth of a foot is 37.7

Answer:

The answer is true

Step-by-step explanation:

Hope this Helps!

Answer:

V = 672 cm³ (Option 3)

Step-by-step explanation:

Volume of Rectangular Prism = [tex]Length * Width * Height[/tex]

Where L = 14 cm, W = 6 cm and H = 8 cm

V = 14 * 6 * 8

V = 672 cm³

Answer: A $2000

Step-by-step explanation:

Interest = prt / 100

= 5000 x .08 x 5

= 2000

Answer:

Its A I just took the quiz

Step-by-step explanation:

Answer:

64 feet.

Step-by-step explanation:

From the question given, we can see that the answer has been done half way.

Now, the concluding part can be obtained as follow:

52/78 = x/96

Cross multiply

78 × x = 52 × 96

78x = 4992

Divide both side by 78

x = 4992/78

x = 64 feet

Therefore, the distance 'x' between the lions and monkeys is 64 feet.

Answer:

64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Negative one-fourth (x) + three-fourths = 12

-1/4(x)+3/4=12

-x/4 + 3/4 =12

-x+3/4=12

1. Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12

-1(x/4)+3/4=12

-x/4+3/4=12

2. (StartFraction negative x over 4 EndFraction + three-fourths = 12

-x/4+3/4=12

3. StartFraction

negative x + 3 over 4 EndFraction = 12

-x+3/4=12

Answer:

B, C, & E

Step-by-step explanation:

-1(x/4) + 3/4

-x + 3 /4 = 12

(-x/4) +3/4 = 12

Hope this helps ^^

Answer:

0

Step-by-step explanation:

144 h = 6 days

Six days later would be midnight on May 1.

That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.

The probability of Adelaide being sunny at midnight is zero.

Answer:

Step-by-step explanation:

Suppose triangle CAD with A = 60^0  and triangle ABE with B = 60^0. They are similar (the order matter, don't change the order)

We have CD = AE and AD = BE , AC = AB (radius)

in triangle CAD, cos A = cos (60) = AD/ AC

in triangle ABE, sin A = sin (30) = BE/AB

We have denominators are equal (both are radius of the circle) and numerator are equal, that gives cos (60) = sin (30)

Answer:

The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.

Step-by-step explanation:

did edge2020

Answer:

C, ON/MN

Step-by-step explanation:

Since tan is opposite/adjacent, and the opposite of angle M is NO, then NO must be the numerator. The only answer with this as the numerator is C.

Answer:

C, ON/MN

Step-by-step explanation:

JUST TOOK THE QUIZ

Answer:

x+4=7 or -7

x=3 or x=-11

[tex](x + 4)^2=49\implies x+4=7\implies x_1=3, x_2=-11[/tex].

Hope this helps.

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex]x^2 \div x^{-5}[/tex]

[tex]x^{2-(-5)}[/tex]

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

[tex]x^7[/tex]

Answer:

2

Step-by-step explanation:

5/2= 2.5 ((or 2 1/2) (or 250%) any you prefer) But you can't get half a person to come in the amusement park so we round it down (2.5 → 2)

So the answer is 2

The different pairs of 2 friends can she choose from 5 is 20.

A permutation is an ordered arrangement of outcomes and an ordered combination.

We have already seen the basic permutations formula in the previous section. Here are different permutations formulas that are used in different scenarios.

For example, there are 5 chairs and 3 persons are to be seated. We have 5 ways to seat the first person; 4 ways to seat the next person and 3 ways to seat the third person. Thus, to find the number of ways for arranging 3 persons in 5 chairs, we multiply the options available to us. We do it in 5 × 4 × 3 ways. i.e., it can be done in 60 ways. Observe that 5 × 4 × 3 can be written as

(5!) / (2!) (or) (5!) / (5 - 3)!.

Generalizing this, we get n options to fill the first chair, n-1 options to fill the second and n-2 options to fill the third chair. Thus, the total number of permutations (arrangements) of r people in n chairs can be expressed as: nPr = n! / (n - r)!.

Given:

n= 5, r=2

Using Permutation,

[tex]^{n}P_r[/tex] = n!/ ( n-r)!

= 5!/ 3!

=5*4*3!/ 3!

=5*4

=20

Hence, in 20 different ways pairs of 2 friends can she choose from the 5.

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Answer:

Third option is the right choice.

Step-by-step explanation:

The intersection point of both lines is [tex](-2, 2)[/tex].

Area of triangle  [tex]\Rightarrow 12.5 = \frac{5\times x}{2}[/tex]

[tex]\Rightarrow x=5[/tex]

This represents the height of the triangle.

So, the y-coordinate of C, will be y-coordinate of point of intersection plus height of triangle.

y = 5+2 = 7

Best Regards!

Answer:

KG = Diameter

FH = Secant

KH = Chord

E = Tangent Point

A = not shown in picture

JG = Radius

HG = Chord

Step-by-step explanation:

Those are the basic parts of a circle.

Answer:f(4)=1/2

f(x)=4 when x is 8

The complete statements would be as:

⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

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Answer:

1. 36r+30

2. -4f-5

3. 40g-28

4. 14n+8

5. -8-8m

Step-by-step explanation:

Solve: (8r + 9) + 7(4r + 3) ( 1 )

8r+9+28r+21

=36r+30

Solve: (3f - 9) + (-7f + 4) ( 1 )

3f-9-7f+4

= -4f-5

Solve: -8(-g + 6) + 4(8g + 5) ( 1 )

8g-48+32g+20

=40g-28

Solve: 5(2n + 3) + (4n - 7) ( 1 )

10n+15+4n-7

=14n+8

Solve: 2(-4) + (-8m) ( 1 )

= -8-8m

Answer:

A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.

Step-by-step explanation:

Answer:

8v

Step-by-step explanation:

Question Completion

(b) Use the possibility diagram to calculate the probability that the product of the two numbers is

I) A prime number

ii) Not a perfect square

iii) A multiple of 5

iv) Less than or equal to 21

v) Divisible by 4 or 6

Answer:

I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

The sample space for an 8-sided fair die rolled twice is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]\\[/tex]

(a) The possibility diagram of the product of the two numbers appearing on the die in each throw

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

(b)

I) A prime number

The number of products that gives prime numbers = 8  

[tex]P$(Product is a prime number)=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125[/tex]

ii) Not a perfect square  

Number of products which results in perfect squares =11

[tex]P$(Product is Not a perfect square)=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125[/tex]

iii) A multiple of 5  

Number of products that are multiples of 5=15

[tex]P$(product is a multiple of 5)=\dfrac{15}{64}\\=0.234375[/tex]

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

[tex]P$(product is less than or equal to 21)=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625[/tex]

v) Divisible by 4 or 6

Products Divisible by 4 or 6= 42

[tex]P$(product is divisible by 4 or 6)=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625[/tex]

Answer:

B

Step-by-step explanation:

y = 8√x (square both of side)

y² = 64x

x = y²/64

f-¹(x) = x²/64

The inverse is B.) f-¹(x) = x²/64 for, x≥0

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, given that, f(x) = 8√x for x ≥ 0

Let, f(x)=y

Then, we get,

y = 8√x (square both of side)

y² = 64x

x = y²/64

i.e. f-¹(x) = x²/64

Hence, The inverse is B.) f-¹(x) = x²/64 for, x≥0

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Answer:

PR = 180 cm

Step-by-step explanation:

Given PQ : QR = 7 : 3  = 7x : 3x ( x is a multiplier )

PQ - QR = 72, substitute values

7x - 3x = 72

4x = 72 ( divide both sides by 4 )

x = 18

Thus

PR = PQ + QR = 7x + 3x = 10x = 10 × 18 = 180 cm

Answer:

180

Step-by-step explanation:

PQ:QR= 7:3

PQ-QR=72

PQ= 126 cm, QR= 54 cm

PR= PQ+QR= 126+54= 180 cm

Answer:

i am not good in maths sorry the answer is 6075

Answer:

[tex]2x^3y^3\sqrt{2x}[/tex]

Step-by-step explanation:

= [tex]\sqrt{8x^7y^6}[/tex]

= [tex]\sqrt{2^2 *2*x^6*x*y^6[/tex]

= [tex]2x^3y^3\sqrt{2x}[/tex]

Answer:

[tex]perimeter= 14\,x\,+ \,4[/tex]

Step-by-step explanation:

Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x)  plus twice the length (3x+2);

[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]

Answer:

Length of wire is required = 840 cm

Step-by-step explanation:

Given:

20 by 20 grid

Find:

Length of wire is required.

Computation:

We know that 20-20 grid required 21 lines.

20 cm vertical and horizontal.

⇒ Length of wire is required = (21 + 21)20 cm

⇒ Length of wire is required = (42)20 cm

⇒ Length of wire is required = 840 cm

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

Answer:

D)  [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Step-by-step explanation:

Step(i):-

Given equation

                x² + 5 x + 8 = 4

    ⇒        [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

Step(ii):-

    By using (a + b)² = a² + 2 a b + b²

  ⇒        [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

  ⇒        [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Final answer:-

[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Answer: B and C

Step-by-step explanation:

-2343  is an integer and also a rational number since it can be expressed as a fraction.  

An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.

Answer:

(1/2) y^5

Step-by-step explanation:

1/( 2y^-5)

1/2 * 1/ y^-5

We know that 1/ a^-b = a ^ b

(1/2) y^5