answer questions 15 and 16.

Answer:

Multiply both sides by [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{5}x = 10[/tex]

Required

Get an equivalent of [tex]x = 25[/tex]

To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]

[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]

[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]

[tex]x = 10 * \frac{5}{2}[/tex]

[tex]x =\frac{10*5}{2}[/tex]

[tex]x =\frac{50}{2}[/tex]

[tex]x = 25[/tex]

Answer:

From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.

(a)x y : x is negative and y is positive

⇒negative x positive = negative

Therefore, xy is negative

(b)x[tex]y^{2}[/tex] :  x  is negative and [tex]y^{2}[/tex] is positive

⇒negative x positive = negative

Therefore, x[tex]y^{2}[/tex] is negative

(c) (x − y)xy : x  is negative and [tex]y^{2}[/tex] is positive

⇒(x − y) is negative and xy is negative {from (a)}

⇒negative x negative = positive

Therefore, (x-y)xy is negative

(d) y(y − x): x is negative and y is positive

here y - x is positive

⇒positive x positive = positive

Therefore, (y-x)y is negative

Answer:

68.17m

Step-by-step explanation:

Please see attached a rough sketch of the scenario

Step one:

Given data

Height of victim= 4.5ft

The horizontal distance of the snipper from the building = 780ft

The angle of elevation= 5 degrees

Required

The vertical distance

The opposite= the vertical distance

789 ft = the adjacent

Step two:

Applying SOH CAH TOA

tan ∅= opp/adj

tan 5= opp/780

cross multiply we have

0.0874= opp/780

cross multiply we have

0.0874*780= opp

opp= 68.17m

The sniper shoots from a vertical distance of  68.17m

Answer:

ok Naruto

Step-by-step explanation:

49.6

Answer:

Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.

Step-by-step explanation:

C A B E D

i think this is the answer

Answer:

They are both the same

Step-by-step explanation:

(ratio of brown eyes to blue eyes)

Ms. Abbott's class- 18:12

Ms. Downey's class-  15:10

if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.

Answer:

associative property

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like

Answer:

5^8 .. you have to do it like this 5^(2×4)

Answer:

y=5x-5

Step-by-step explanation:

find y-intercept:

0=1(5)+b

b=-5

Answer:

y = 5x - 5

Step-by-step explanation:

y = mx + b

m = 5

b = ?

Plug in the coordinates

0 = 5(1) + b

0 = 5 + b

-5 = b

Finally:

y = 5x - 5

Answer:

A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.

Answer:

6 hours

Step-by-step explanation:

48 + 8.80

56.8 + 8.80

65.6 +8.80

74.4 + 8.80

83.2 +8.80

92 + 8.80

100.8

Question

Find cos θ for θ = 60°

Answer:

1.5

Step-by-step explanation:

6/4=3/2

3/2=1 1/2

or

1.5

Answer:

1.5

Step-by-step explanation:

Answer:

you didn’t provide a question

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

Length, L = 9 feet.

Width, W = 11 feet.

Step-by-step explanation:

Given the following data;

Perimeter = 40 feet

Length = 3x

Width = 2x + 5

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

40 = 2(3x + 2x +5)

40 = 2(5x + 5)

40 = 10x + 10

10x = 40 - 10

10x = 30

x = 30/10

x = 3

Now, to find the length;

Length, L = 3x

Substituting into the equation, we have;

Length, L = 3*3

Length, L = 9 feet

To find the width;

Width, W = 2x + 5

Substituting into the equation, we have;

Width, W = 2(3) + 5

Width = 6 + 5

Width, W = 11 feet.

Answer:

It would take the apprentice 14 hours to make the fireplace on his own.

Step-by-step explanation:

Let x represent the hours it takes the bricklayer to make a fireplace on his own and x + 10 represent the hours it takes the bricklayer's apprentice to make a fireplace on his own.

7/(x + 10) + 2/x = 1

7/(x+10) represents the fraction of the fireplace the bricklayer's apprentice made (total amount of time the bricklayer's apprentice worked on the fireplace/time it takes the bricklayer's apprentice to make a fire place on his own) while 2/x represents the fraction of the fireplace the bricklayer made (total amount of time the bricklayer worked on the fireplace/time it takes the bricklayer to make a fire place on his own). The 1 on the right side of the equation represents the number of fireplaces they made in that time.

Multiply both sides of the equation by x(x + 10) to get rid of the denominators:

x(x + 10)[7/(x + 10) + 2/x] = x(x + 10)1

x(x + 10)[7/(x + 10)] + x(x + 10)(2/x) = x(x + 10)

7x + 2(x + 10) = x² + 10x

7x + 2x + 20 = x² + 10x

Gather all the terms to one side of the equation:

x² + 10x - 7x - 2x - 20 = 0

x² + x - 20 = 0

Factoring the simplified equation:

(x + 5)(x - 4) = 0

Solving for each factor:

When x + 5 = 0,

x = -5

When x - 4 = 0,

x = 4

Since a negative solution wouldn't make sense for this question, it would take the bricklayer 4 hours to complete the fireplace on his own.

Substituting x = 4 into x + 10 to find out how long it would take the apprentice to make the fireplace on his own:

x + 10 = 4 + 10 = 14

Therefore, it would take the apprentice 14 hours to make the fireplace on his own.

Answer:

C)  6 inches

Step-by-step explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches

Answer:

By Pythagoras theorem, we get

[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]

Step-by-step explanation:

2^400=2^(2×200)

2^(2×200) =[2^(2) ]^200

Now, [2^(2) ]^200=4^200

The power  of 2 in 400! is 397.

Let p is the prime number whose power is to be found

Let n is the factorial number then

p in n! = (n /p) + (n/p²) +(n/p³) + .......

until Numerator < Denominator

and after division only the integer part is taken

Therefore to determine the power of 2 in 400!

2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D

2 in 400! = 200 +100 +50+25+12+6+3+1

2 in 400 = 397

Therefore the power  of 2 in 400! is 397.

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Answer: $59.5

170/100 * 85 = 144.5

144.5 - 85 = 59.5

If that is wrong my next guess is $144.50

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Step-by-step explanation:

The picture shows us that the shape is a square.

To find the area of a square you would use the formula s^2

s= 8ft

8ft^2 = 64ft^2

with area you would need to use the unit ft^2

I hope this helps!!!

Answer: DDDDDDD

Step-by-step explanation: The formula is width x height, so we can use the expression 8 x 8 assuming this is perfectly square. 8 x 8 is 64 square units

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

(-8, 6)

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is:

y = -4 + 38

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

We have given that,

An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1

(-8, 6)

y=mx+b

Where m is the slope

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is y = -4 + 38.

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Answer:

4,5 miles

Step-by-step explanation:

60*2=120

120/12=10

1 mile every 10 minutes

45/10=4,5

Answer:

a)x=-2.5 or x=1

Step-by-step explanation:

it's the answer

hope It helps

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.