Convert 25 km to feet​

Answer:

see explanation

Step-by-step explanation:

(a)

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 8 when x = 10. then

8 = 10k ( divide both sides by 10 )

0.8 = k

y = 0.8k ← equation of proportion

(b)

when x = 25, then

y = 0.8 × 25 = 20

(c)

when y = 25, then

25 = 0.8x ( divide both sides by 0.8 )

x = 31.25

Answer:   e

Step-by-step explanation: 12/16          6/8    3/4

Answer:

B and E.

Step-by-step Explanation:

B: 6/8

    6*2=12

    8*2=16

    12/16

E: 3/4

    3*4=12

    4*4=16

    12/16

Hope this helps!!!!!

*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

Answer:

2

Step-by-step explanation:

Answer:

Sushil got 15 sweets

Step-by-step explanation:

we can use law of indices property as shown below

a:b:c = ax:bx:cx

that if we multiply each term of ratio by same number , the ratio does not change

____________________________

given

Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1.

let

Malachy gets 1x sweets

sushil gets 3x sweets

Fiona gets 1x sweets

but given that

Malachy got 5 sweets

thus

1x = 5

x = 5

Sushil got 3x sweets = 3*5 = 15 sweets.

Sushil got 15 sweets.

Answer:35 square

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

Complete the paragraph proof. Given: ∠ABR and ∠ACR are right angles AB ≅ BC BC ≅ AC Prove: bisects ∠BAC

It is given that ∠ABR and ∠ACR are right angles, AB ≅ BC and BC ≅ AC Since they contain right angles, △ABR and △ACR are right triangles. The right triangles share hypotenuse AR, and reflexive property justifies that AR ≅ AR. Since AB ≅ BC and BC ≅ AC, the transitive property justifies AB ≅ AC. Now, the hypotenuse and leg of right △ABR is congruent to the hypotenuse and the leg of right △ACR, so △ABR ≅ △ACR by the HL congruence postulate. Therefore, by CPCTC, and bisects ∠BAC by the definition of bisector.

Answer:

The answer is ∠BAR=∠CAR

Step-by-step explanation:

From the question, In the ΔABR and ΔACR , AB=AC=X

CHECK THE ATTACHMENT FOR DETAILED STEP BY STEP EXPLANATION:

Answer:

A) <BAR = <CAR

Step-by-step explanation:

Edge

Answer:

39.936 ( not rounded )

Step-by-step explanation:

Use Pythagorean theorem

a^2 + 6.4^2 = 9^2

height = 6.24 (rounded to nearest hundredth)

1/2 * base * height = area

1/2 * 12.8 * 6.24

= 39.936 ( not rounded )

Answer:

8.8

Step-by-step explanation:

set up a system

let x be sour keys and y be chocolate bars

2.65=15x+2y

3.35=10x+3y

then solve

X turns out to be 0.05

y turns out to be 0.95

multiply : 24*0.05=1.2

multiply : 0.95*8=7.6

add : 1.2+7.6 = 8.8

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

the x-intercepts of the graph are the zeros of the quadratic function

Answer: 0.014

Step-by-step explanation: 5 divided by 18!

Answer:

A.

Step-by-step explanation:

Debit card design really has nothing to do with banks but has to do with personal preference. If you are comparing banks, you would want to see when they are open, how much you would need to deposit to start an account, that kind of stuff.

Answer:

ΔAKL is congruent to ΔBML by the Side Angle Side rule of congruency and ΔALB is isosceles as two of its sides [tex]\overline {AL}[/tex] and [tex]\overline {BL}[/tex] are congruent

Step-by-step explanation:

The given parameters are;

The given triangle ΔKLM has sides [tex]\overline {KL}[/tex] ≅ [tex]\overline {LM}[/tex],   Given

ΔKLM is isosceles Δ (two equal segments),         Definition of isosceles Δ

∠LKM ≅ ∠LMK,                                                       Base ∠s of isosceles Δ are ≅

Point A is on segment [tex]\overline {KM}[/tex],                                  Given    

Point B is also on segment [tex]\overline {KM}[/tex],                          Given

Segment [tex]\overline {AK}[/tex] ≅ segment [tex]\overline {BM}[/tex],                              Given

ΔAKL ≅ ΔBML,                                                       SAS rule of congruency

Segment [tex]\overline {AL}[/tex] ≅ segment [tex]\overline {BL}[/tex],                                CPCTC

ΔALB is isosceles (two equal segments),            Definition of isosceles Δ

Where:

SAS = Side Angle Side

CPCTC = Congruent parts of congruent triangles are congruent.

Answer:

m∠AKL=m∠BML | Base Angle Theorem (Base ∠ TH.)

Step-by-step explanation:

KL=LM | Given

A ∈ KM | Given

B ∈ KM | Given

AK=BM | Given

m∠AKL=m∠BML | Base ∠ TH.

Answer:

6

Step-by-step explanation:

6 is the answer

? =6

Answer:

6

Step-by-step explanation:

1. 17 * 10 = 170

2. 17 * 4 = 68

3. 170 - 68 = 102

4. 102 / 17 = 6

Answer:

180 meters

Step-by-step explanation:

Distance from the balloon to the boat = 108 meters

Distance from the boat to the shore = 144 meters

Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.

Let the length of the hypotenuse = l

Using Pythagoras Theorem

[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]

The distance from Fossett's balloon to the shore is 180 meters.

Fossett's balloon is 180m from the shore

data;

To solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.

[tex]x^2 = y^2 + z^2\\[/tex]

Let's substitute the values and solve

[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]

Fossett's balloon is 180m from the shore

Learn more on pythagorean theorem here;

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Answer:

$60.42

Step-by-step explanation:

0.06 x $57 = $3.42

$57 + $3.42 = $60.42

Hope this helped! :)

Answer:

-3

Step-by-step explanation:

Substitute negative 3 as x and you get this -(--3). Then the two negatives make a positive and it's -(3) which becomes -3.

Answer:

7 < x < 34

Step-by-step explanation:

The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.

Answer:

7 < x < 34

it just is

at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.

step-by-step

since the scale is 1 to 15,000 you simply multiply it by the 12 cm

12cm × 15,000 = 180,000

but you still have to convert it to kilometers (the measurement on the ground).

to go from centimeters to kilometers move the decimal 5 place values to the left.

final answer

1.8 kilometers

Answer:

She deposited £10,000 in the 5% yield account and deposited £20,000 in the 8% yield account

Step-by-step explanation:

Let the amount she put in each account be £x and £y respectively

Total amount deposited is ;

x + y = 30,000 ••••••(i)

Now, let’s look at the earnings:

in the £x , amount earned would be;

5/100 * x = 5x/100

For the £y, amount earned would be;

8/100 * y = 8y/100

Adding both gives the total which is £2,1000

5x/100 + 8y/100 = 2,100

Multiply through by 100

5x + 8y = 210,000 ••••••••(ii)

From the first equation, we know that

x = 30,000 -y

Let’s put this into the second

5(30,000-y) + 8y = 210,000

150,000-5y + 8y = 210,000

3y = 210,000 -150,0000

3y = 60,000

y = 60,000/3

y = £20,000

So mathematically;

x = 30,000-y

x = 30,000 -20,000

x = £10,000

Answer:

I agree with your answer C!!

Step-by-step explanation:

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

The solution is

The cost of one adult ticket = $ 7

The cost of one child ticket = $ 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one adult ticket be = x

Let the cost of one child ticket be = y

Now , for Family 1 :

2 adults and 3 children and costs a total of £20 to enter the park

Substituting the values in the equation , we get

2x + 3y = 20   be equation (1)

Now , for Family 2 :

1 adult and 4 children and costs a total of £15 to enter the park

Substituting the values in the equation , we get

x + 4y = 15   be equation (2)

On simplifying the equations , we get

Multiply equation (2) by 2 , we get

2x + 8y = 30   be equation (3)

Subtracting equation (1) from equation (3) , we get

5y = 30 - 20

5y = 10

Divide by 5 on both sides of the equation , we get

y = 2

So , the cost of one child ticket is $ 2

Now , substituting the value of y in equation (2) , we get

x + 4y = 15

x + 4 ( 2 ) = 15

x + 8 = 15

Subtracting 8 on both sides of the equation , we get

x = 15 - 8

x = 7

So , the cost of one adult ticket is $ 7

Hence , the value of x is $ 7 and value of y is $ 2

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Answer:

B = {(5, 3), (−2, −9), (−3, 8), (9, 3)}

Step-by-step explanation:

A function has no repeating inputs (x-values). One input is assigned to exactly one output.

In set 'A', the input of two is repeated.

A = {(2, 7), (1, −5), (7, 2), (2, −9)}

In set 'B', there are no repeating inputs.

Set 'B' is a function.

Brainilest Appreciated.

Answer:

Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.

Step by step explanation:

The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).

The best interpretation of the graph is,

Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.

When a point or an object moving in a straight line , the acceleration is the rate at which velocity changes with time, in terms of both speed and direction.

Here, we have,

The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).

Hence, The best interpretation of the graph is,

Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.

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Answer:

A.9x – 13.2

Step-by-step explanation:

2*(3.5x-7+x+0.4)=2*(4.5x-6.6)=9x-13.2

Answer:

It is A

Step-by-step explanation:

Answer:

17/24

Step-by-step explanation:

This expression simplifies to the following:

-7     15        1          1

---- * -----  -  -----  +  -----

18     -7        4          8

Reducing the product, we get

  15        1

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

  18        8

and this simplifies further:

 5       1

----- - -----

 6       8

The LCD is 24.  Thus, we have:

20      3         17

------ - -----  =  -----

24      24       24

Answer:

The correct answer is - The setting may discourage honest responses.

Step-by-step explanation:

In this particular setting of research and interview regarding this research may not produce hones results as the question is too direct to ask students if they had ever used drugs.

Research should be anonymous and should avoid the questions that can lead to bias results like this case that may lead to dishonest results.

Thus, the correct answer is : The setting may discourage honest responses.

The function with the lowest output values as x approaches infinity is A.

The function with the greatest output values as x approaches infinity is B