420 miles in 6.5 hours unit rate​

Answer:

108 inches and 2160 inches

Step-by-step explanation:

108 inches = 274.32 cm

180 inches = 457.2 cm

The area of the mural, A1 = 274.32 X 457.2 = 125419.1 cm²

Let the area of the photograph = A2

The scale A1 to A2,

1/12 = A1/A2

1/12 = 125419.1/A2

∴ A2 = 12 X 125419.1 = 1505029.2 cm²

For their lenghs

1/12 = L1/L2

1/12 = 457.2/L2

L2 = 12 X 457.2 = 5486.4 cm (or 2160 inches)

The width of  the photograph

1505029.2/5486.4 = 274.3 cm ( 108 inches)

Answer:

10

Step-by-step explanation:

1.5+2.5+2+4=10 b/c the figure is the half of the biger lines

The perimeter of the quadrilateral EFGH is 10 units.

Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.

For the given situation,

The diagram shows the two quadrilaterals ABCD and EFGH.

The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.

Here BC = 5.0, FG = 2.5

⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]

⇒ [tex]\frac{1}{2}[/tex]

So the lengths of EFGH is half than that of ABCD.

Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5

Thus the perimeter of EFGH is

Perimeter = Sum of all sides

⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]

⇒ [tex]Perimeter = 10.0[/tex]

Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.

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Answer:

64.5668 inches tall

Step-by-step explanation:

If you set up a proportion, you would have to do 1.64 times 39.37, which would equal 64.5668 inches.

Answer:

3/5 + 2 3/4 = 3 7/20

Step-by-step explanation:

2 = 8/4

2 3/4 = 2 + 3/4

then:

3/5 + 2 3/4 = 3/5 + 8/4 + 3/4

= 3/5 + (8+3)/4

= 3/5 + 11/4

3/5 = 12/20

11/4 = 55/20

then:

3/5 + 11/4 = 12/20 + 55/20 = 67/20

67/20 = 60/20 + 7/20 = 3 + 7/20

= 3 7/20

Answer:

The values of the angles are;

m∠DEA = 62°, m∠ADB = 45°

Step-by-step explanation:

Specify an arc or an angle three letters  

Angle opposite an arc on the circumference

m DA ≅ m CB = 62°  (Arc between parallel lines are congruent)

∠CAB = 1/2 × m CB = 1/2 × 62° = 31° (Angle at the center = 2 × Angle st the circumference)

∠DBA = 31° (Angle at the center m DA = 2 × Angle st the circumference)

m∠DAB = 104° (Given)

∠ADB = 180° - m∠DAB - ∠DBA = 180° - 104° - 31° = 45° (Interior angles of triangle ΔADB

m∠ADB = 45°

∠AEB = 180 - ∠CAB - ∠DBA = 180° - 31° - 31° = 118°

∠AEB ≅ ∠COD (Vertically opposite angles)

∠DEA ≅ ∠CEB (Vertically opposite angles)

∠AEB + ∠COD + ∠DEA + ∠CEB = 360° (Sum of angles at a point)

118° + 118° + ∠DEA + ∠CEB = 360°

∠DEA + ∠CEB = 360° - 118° - 118° = 124°

Given that ∠DEA = ∠CEB we have;

2 × ∠DEA = 124°

∠DEA = 124°/2 = 62°

m∠DEA = 62°.

Answer:

f(g(x)) = [tex]\sqrt{8x-22}[/tex]

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

f(g(x))

= f(8x - 13)

= [tex]\sqrt{8x-13-9}[/tex]

= [tex]\sqrt{8x-22}[/tex]

Answer:

400(π+2) feet square

Step-by-step explanation:

let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)

but since the cage is part of the circle and not full turn πr²/8

area of the circleπr²+ half area square

(π(40√2)²)/8 +40²/2

3200π/8+1600/2

400π+800

400(π+2) feet square

Boy = x

His Sister = y

Father = z

x = 2*y  

y = x/2

x = z-30 or z = x+30

3.8 m = 380 cm

x+y+z = 380

x + x/2 + x+30 = 380

multiply by 2

2x +x + 2x +60 = 760

5x = 700

x = 140 cm

y = x/2

 = 140 /2 = 70 cm

z = x+30

 = 140 + 30 = 170 cm

There  

x (Boy)             = 140 cm

y (His Sister)  = 70 cm

z (Father)        = 170 cm

Using an appropriate equation, the boy's height is 140  cm.​

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let Boy = x and His Sister = y

Father = z

So, x = 2*y  

y = x/2

x = z-30 or z = x+30

Now, substitute

3.8 m = 380 cm

Equation form;

x+y+z = 380

x + x/2 + x+30 = 380

then multiply by 2

2x +x + 2x +60 = 760

5x = 700

x = 140 cm

Thus,

y = x/2 = 140 /2 = 70 cm

z = x+30 = 140 + 30 = 170 cm

There  are x (Boy) = 140 cm

y (His Sister)  = 70 cm

z (Father)   = 170 cm

Hence, Using an appropriate equation, the boy's height is 140  cm.​

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Answer:

1 2/3 = m

Step-by-step explanation:

2/3 = m+3/5 -8/5

Combine terms

2/3 = m-5/5

2/3 = m -1

Add 1 to each side

2/3 +1 = m-1+1

2/3 +3/3 = m

5/3 = m

1 2/3 = m

Answer:

[tex]\large \boxed{\sf m = \frac{5}{3} }}[/tex]

Step-by-step explanation:

2/3 = m + 3/5 - 8/5

Subtract the fractions since the denominators are same.

2/3 = m -5/5

Simplify the equation.

2/3 = m - 1

Add 1 to each side.

5/3 = m

Answer:

y = 5

Step-by-step explanation:

−x+y=0   −2x+y=−5

Multiply the first equation by -2

-2(-x+y=0)

2x-2y =0

Add this to the second equation

 2x-2y =0

−2x+y=−5

-------------------

0x -y = -5

-y =-5

Multiply by -1

y = 5

Answer:

Step-by-step explanation:

Set this up as a ratio of number of cakes to cups of sugar, C:S

Then the ratio given is 1:2.5 which says 1 cake takes 2.5 cups of sugar. We want to know how many cakes, x, will be made with 37.75 ups of flour:

[tex]\frac{1}{2.5}=\frac{x}{37.75}[/tex] and cross multiply to solve:

2.5x = 37.75 so

x = 15.1 cakes or just 15 cakes (cuz you can't make one-tenth of a cake!)

Answer:

e=-2

Step-by-step explanation:

9e-7e=-11+7

2e=-4

e=-2

Answer:

Step-by-step explanation:

If the password for a certain safe is indicated by multiplying (x^2-16)/(x-1) with 1 / ((x ^ 2 + 6x + 8) / (x ^ 2 + 2x-3))

Simplify the expression in its lowest term first

[tex]= \dfrac{x^2-16}{x-1} * \dfrac{1}{\dfrac{x ^ 2 + 6x + 8}{x ^ 2 + 2x-3} } \\\\= \dfrac{x^2-16}{x-1} * }{\dfrac{x ^ 2 + 2x - 3}{x ^ 2 + 6x + 8} }\\\\= \dfrac{ (x+4)(x-4)}{x-1} * \dfrac{(x+3)(x-1)}{(x+4)(x+2)}\\\\= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\[/tex]

If the value of x = 9, to get the numeric value of the password, we will substitute x = 9 into the resulting function as shown;

[tex]= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\\\= \dfrac{9-4}{1} * \dfrac{9+3}{9+2}\\\\= \frac{5}{1} * \frac{12}{11}\\\\= \frac{60}{11}\\ \\= 5.455[/tex]

Hence the numeric value of the password is 5.455

Answer:

Step-by-step explanation:

Let's solve :

[tex] \mathsf{ \: people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:time \: ( \: in \: minutes)}[/tex]

[tex] \mathsf{12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \: hour \: = \: 60 \: minutes }[/tex]

[tex] \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t }[/tex]

The amount of time needed for completion is inversely proportional to the number of people working on the orchard. Let t be the amount of time ( in minutes ) needed when there are 5 people working.

[tex] \mathsf{ \frac{12}{5} = \frac{t}{60} }[/tex]

Apply cross product property

[tex] \mathsf{5t = 12 \times 60}[/tex]

Multiply the numbers

[tex] \mathsf{5t = 720}[/tex]

Divide both sides of the equation by 5

[tex] \mathsf{ \frac{5t}{5} = \frac{720}{5} }[/tex]

Calculate

[tex] \mathsf{t = 144 \: minutes}[/tex]

Hope I helped!

Best regards!!

It will take five people 144 minutes to paint the orchard.

12 people can paint the orchard in one hour, which is 60 minutes.

If there are five people, it will take them 12 × 60 / 5 = 144 minutes to paint the orchard.

So the answer is 144

Here's the explanation:

We know that the number of people and the time it takes to paint the orchard are inversely proportional. This means that if we increase the number of people, the time it takes to paint the orchard will decrease.

We can also set up a proportion to find the time it takes five people to paint the orchard. The proportion will look like this:

12 people : 5 people :: 60 minutes : x minutes

Cross-multiplying, we get:

12 × x = 5 × 60

x = 5 × 60 / 12

x = 144 minutes

Therefore, it will take five people 144 minutes to paint the orchard.

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Answer:

i. a = 7

ii. b = 7

iii. c = 14

Step-by-step explanation:

1. In a parallelogram, the pair of opposite sides are equal, thus;

6a + 10 = 8a -4

4 + 10 = 8a - 6a

14 = 2a

Divide both sides by 2,

a = 7

2. <SPQ + <PSR = [tex]180^{0}[/tex]

(18b - 11) + (9b + 2) =  [tex]180^{0}[/tex]

18b + 9b + 2 -11 =  [tex]180^{0}[/tex]

27b -9 =  [tex]180^{0}[/tex]

27b =  [tex]180^{0}[/tex] + [tex]9^{0}[/tex]

27b = [tex]189^{0}[/tex]

Divide both sides by 27,

b = 7

Therefore,

c = a + b

  = 7 + 7

  = 14

c = 14

Step-by-step explanation:

Since the x is inside of the square root, the x value must be positive. This makes x {0,infinity). Yet, when square rooting x, you should have both a negative and a positive value for y. So, this should be your graph.

Answer:

Answer:

Step-by-step explanation:

                         The favorable outcome is rolling a five, and that can only occur once using one die. The total number of outcomes is six, since the die is 6-sided. So the probability of rolling a five is 1/6. 2) What is the probability that you will pull a heart out of a standard deck of cards?

Answer:

4.4

Step-by-step explanation:

Answer:

t = 4.4 seconds

Step-by-step explanation:

It hits the ground when the height is equal to zero

This occurs just before 4.5 seconds

t = 4.4 seconds

Answer:

2/5 =x

Step-by-step explanation:

4/10 = x/1

4/10 =x

Simplify

2/5 =x

Answer:

x=0.4

Step-by-step explanation:

4/10=0.4

x/1 has to equal 0.4 too

0.4/1

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

Answer:

She is three years old.

Step-by-step explanation:

If she is 3, then six years from now she will be nine.

3 * 3 = 9

Answer:

[tex]\frac{9}{100}[/tex]

Step-by-step explanation:

Given:

Number of red balls, n(R) = 3

Number of green balls, n(G) = 9

Number of yellow balls, n(Y) = 2

Number of orange balls, n(O) = 2

Number of purple balls, n(P) = 4

Two balls are drawn one at a time with replacement.

To find:

Probability of drawing a green ball and an orange ball ?

Solution:

Total number of balls, n(Total) = 3 + 9 + 2 + 2 + 4 = 20

Formula for probability of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Probability that a green ball is drawn at first:

[tex]P(Green) = \dfrac{\text{Number of Green balls}}{\text {Total number of Balls}}[/tex]

[tex]P(Green) = \dfrac{9}{20}[/tex]

Now, the ball is replaced , so total number of balls remain the same i.e. 20.[tex]P(Orange) = \dfrac{\text{Number of Orange balls}}{\text {Total number of Balls}}[/tex]

[tex]P(Orange) = \dfrac{2}{20} = \dfrac{1}{10}[/tex]

[tex]P(Green\ then\ orange) = P(Green) \times P(Orange)\\\Rightarrow P(Green\ then\ orange) = \dfrac{9}{10} \times \dfrac{1}{10}\\\Rightarrow P(Green\ then\ orange) = \bold{ \dfrac{9}{100} }[/tex]

Answer:

=X-2a

= 6- 2× (-7)

= 6 + 14

= 20

✌✌✌✌

Answer:

It is over 7 days

hope it helps

Answer:

X=11/13

Step-by-step explanation:

First, convert the non-variable fractions to a common denominator.

1/4x+8/12=19/12

1/4x=19/12-8/12

1/4x=11/12

x=11/12*4/1

x=44/12

x=11/3

Answer:

68 ft³

Step-by-step explanation:

Take the above figure to be 2 rectangular prism. A smaller prism on top, and a bigger one under.

Volume of the smaller rectangular prism on top:

[tex] Volume = whl [/tex]

Where,

w = 2 ft

h = 4 ft

l = 4 ft

[tex] Volume = 2*4*4 = 32 ft^3 [/tex]

Volume of bigger Rectangle prism under:

w = 2 ft

h = 3 ft

l = 6 ft

[tex] Volume = 2*3*6 = 36 ft^3 [/tex]

Volume of composite figure = 32 + 36 = 68 ft³

Answer:

Step-by-step explanation:

The correct answer is 76

Big prism: 4x8x2=64

What's Left: (6-4)x2x3=12

64+12=76

Answer:

See below

Step-by-step explanation:

40% own neither, it means 100% - 40% = 60% own either a dog or a cat.

Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.

Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.

Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.

All the numbers reflected in the attached Venn diagram:

Answer:

[tex]\frac{x+5}{x-2}[/tex]

Step-by-step explanation:

Answer:

4.331507 x 10⁶

Step-by-step explanation:

you move the decimal place 6 times to the right, so 10⁶

Answer:

Step-by-step explanation:

4,331,507=4.331507×10^6

Answer:

4 cm

Step-by-step explanation:

The volume (V) of milk in the container is

V = 8 × 5 × 12 = 480 cm³

The volume remains the same whatever the position of the container.

let d be the depth then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

These following ordered pairs are on the graph:

-------------------------------

An ordered pair (x, f(x)) will be on the graph if replacing them into the equation, we get an equivalence.

-------------------------------

The equation is:

[tex]f(x) = x^2 - 1[/tex]

-------------------------------

(0,1)

Here, we test [tex]x = 0, f(x) = 1[/tex]

Replacing into the equation:

[tex]1 = 0^2 - 1[/tex]

[tex]1 = -1[/tex]

False, so not on the graph.

-------------------------------

(0,1)

Here, we test [tex]x = 1, f(x) = 0[/tex]

Replacing into the equation:

[tex]0 = 1^2 - 1[/tex]

[tex]0 = 0[/tex]

True, so on the graph.

-------------------------------

(3,5)

Here, we test [tex]x = 3, f(x) = 5[/tex]

Replacing into the equation:

[tex]5 = 3^2 - 1[/tex]

[tex]5 = 8[/tex]

False, so not on the graph.

-------------------------------

(5,24)

Here, we test [tex]x = 5, f(x) = 24[/tex]

Replacing into the equation:

[tex]24 = 5^2 - 1[/tex]

[tex]24 = 24[/tex]

True, so on the graph.

-------------------------------

(-2,3)

Here, we test [tex]x = -2, f(x) = 3[/tex]

Replacing into the equation:

[tex]3 = (-2)^2 - 1[/tex]

[tex]3 = 3[/tex]

True, so on the graph.

-------------------------------

(-4,-17)

Here, we test [tex]x = -4, f(x) = -17[/tex]

Replacing into the equation:

[tex]-17 = (-4)^2 - 1[/tex]

[tex]-17 = 15[/tex]

False, so not on the graph.

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