a boy is 26 years younger than his father in 3 years time his age will be one third his father's age. Find the boy's present age

Answer:

The two friends meet at [tex]8:20 \:\text {am}[/tex].

Step-by-step explanation:

Given: Two friends live [tex]7[/tex] miles apart. The two friends set out on their bikes at [tex]8[/tex] am and started riding towards each other one rides at [tex]0.2[/tex] miles per minute, and the other rides at [tex]0.15[/tex] miles per minute.

To find: The time when the two friends meet.

Solution:

Distance between two friends [tex]=7 \:\text{miles}[/tex]

Speed of one friend [tex]=0.2 \:\text{miles per minute}[/tex]  

Speed of other friend [tex]=0.15 \:\text{miles per minute}[/tex]

Since, both are riding towards each other, the net speed will be [tex]0.2+0.15=0.35 \:\text {miles per minute}[/tex].

We know that,  [tex]\text{time}=\frac{\text{Distance}}{\text{Speed}}[/tex]

So, time taken to cover [tex]7 \:\text{miles}=\frac{7}{0.35} =20 \:\text{minutes}[/tex]

Now, both the friends set out on their bikes at [tex]8[/tex] am and started riding towards each other. So, the two friends meet after [tex]20[/tex] minutes.

Hence, the two friends meet at [tex]8:20 \:\text {am}[/tex].    

Answer:

a

Step-by-step explanation:

beacuse when you mutyply 30 by 60 you find out the answer

Answer:

a

Step-by-step explanation:

Answer:

the best approximation is 2√35

Step-by-step explanation:

Answer:

very easy the answer is 9 × 8 + 2

Step-by-step explanation:

74/9

Answer:

Arc length = 54.85mm

Step-by-step explanation:

360/32 = 11.25

11.25 * 559 = 6288.75

6288.75 * 3.14 = 19746.675

19746.675/ 360 = 54.851875

Rounded to the nearest hundredth

Arc length = 54.85mm

The length of the arc is 54.9mm

Data given;

To solve this question, we have to use the formula of length of an arc which is given as

L = θ/360 * 2πr

To find the angle between each spoke, let's divide 360 by 32

[tex]\theta = 360/32\\\theta = 11.25^0[/tex]

Now that we have the value of the angle, let's substitute it and solve for the length of the arc.

[tex]L_a_r_c = \theta/360 * 2\pi r\\L_a_r_c = \frac{11.25}{360} * 2 * 3.14 * 279.5\\L_a_r_c = 54.9mm[/tex]

The length of the arc is approximately 54.9mm

Learn more on length of an arc here;

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Answer:

use the top and bottom

Step-by-step explanation:

x-axis && y - axis

Answer:

Step-by-step explanation:

Key: So α is [tex]45:12[/tex] and β is [tex]45:18[/tex].

Proportionality means: "the quality of corresponding in size or amount to something else. the requirement of proportionality of punishment to offense"

the fact of a variable quantity having a constant ratio to another quantity."

Ok so now you have to answer the following question using that key.

1. False.

2.True

3.False

4.False

I hope this helps a bit.....I think I  got them right. :)

Answer

The answer is x > -8

Answer: 250

Step-by-step explanation:

Answer:

$917

Step-by-step explanation:

Let the money be $x

x×(1+(8.75%/12))^(12)=1000

x=916.5097877016

x=917(cor.to 3 sig.fig.)

answer: 21 students

15% = 0.15

0.15 x 140 = 21

Answer:

A-15 CM

Step-by-step explanation:

Hypotenuse (C)= 9²+12²

=81+144

=225

C2=225

C/HYPOTENUSE=√225=15

PLEASE MARK BRAINLIEST

Answer:

she has 3 quarters

Step-by-step explanation:

let's call the amount of dimes D

let's call the amount of quarters Q

you know that she has 11 coins in total,

so D + Q = 11.

you also know that each dime is worth 10 cents.

and each quarter is worth 25 cents.

so 10d + 25q = 155

this is a system of equations. solve by substitution:

d = 11 - q

10d + 25q = 155

10(11 - q) + 25q = 155

110 - 10q + 25q = 155

15q + 110 = 155

15q = 45

q = 45/15

q = 3

Answer:

2.75

Step-by-step explanation:

absolute value means it is always positive so in this case it stays the same

Answer:

2.75

Step-by-step explanation:

The absolute value of any number is it's positive variant. For example, the absolute value of -100 is 100. The absolute value of 100 is also 100.

Thus, the absolute value of 2.75 is simply 2.75

Answer:

The fourth answer, WBD is correct.

Step-by-step explanation:

As you can see the three points W, B and D all fall on the same line, which means that they are indeed colinear.

Answer:

W, B and D all fall on the same line, which means that they are indeed colinear.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

because the total number of traingle =180 so we have 15 and 35 which equal 50 and the inside angle = 130 and x = 50

Answer:

Letter C.19

SORRY IF THIS IS WRONG..

Answer:

81 pencils

Step-by-step explanation:

1. Set up variables

Pencils = p

notebooks= n

2. Set up a system of equations

p+n= 135                             (The amount of supplies bought)

1.75n +0.35p = 122.85       (Equation for the cost)

3. Solve the system of equations (I'll use substitution)

    a)p= 135-n  (I just rearranged it)

    1.75n + 0.35p= 122.85

     b) Substitute the first equation into the second)

    1.75n + 0.35(135-n) = 122.85

     c) Solve!

    1.75n + 47.25 - 0.35n = 122.85

    1.4n = 75.6

     n= 54

Serena bought 54 notebooks!

4. Substitute the number of notebooks into the first equation

p +n = 135

p + 54= 135

p = 81

Serena bought 81 pencils!!!

I hope this helps!!!!

Answer:

Serena purchased 81 pencils

Step-by-step explanation:

Let x = the number of pencils Serena bought

Let 135 - x = the number of notebooks Serena bought

1.75(135 - x) + .35x = 122.85       Multiply both sides of this equation by 100.

175(135 - x) + 35x = 12,285

23,625 - 175x  + 35x = 12,285

-140x = -11,340

x = 81 pencils

Answer:

4.5 inches

Step-by-step explanation:

It depends on what map you have but if you were handed but on a standard map it would be 4.5 inches

Answer: 4.5 inches

Step-by-step explanation:

Answer:  3t + 6v

Proof: Math.

Answer:

1x bc it’s value of x

Step-by-step explanation:

Answer: x = 15

Step-by-step explanation:

75/15=5 or 5x15=75

Answer:

63

Step-by-step explanation:

[tex](w - 8) \degree + (2w - 1) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ (w - 8 + 2w - 1) \degree = 180 \degree \\ \\ (3w - 9) \degree = 180 \degree \\ \\ 3w - 9 = 180 \\ \\ 3w = 180 + 9 \\ \\ 3w = 189 \\ \\ w = \frac{189}{3} \\ \\ w = 63[/tex]

Answer:

A is correct because you need to stop deleting my answers.

Answer:

Right there

Step-by-step explanation:

You have the answer there the chart is done for you

Answer:

Step-by-step explanation:

So, to solve this, just look at the answers and write out how y would change as you added 1 to x, and the correct answer is whichever matches. The correct answer is D, but I'll edit with exact details so you can look into how to solve this problem when you're not in a hurry.

Answer:

Solution given:

relationship between perpendicular and hypotenuse is given by sin angle

sin angle =P/h

angle=sin-¹(7/12)=35.68

so

your option is b.36.

Answer:

It is positive (9)

Step-by-step explanation:

Negative ÷ negative = positive

Negative ÷ positive = negative

positive ÷ positive = positive

positive ÷ negative = negative

Negative × negative = positive

negative × positive = negative

positive × positive = positive

Positive × negative = negative

If both symbols are the same, it is positive. If one is positive and one is negative (different symbols), it is negative.

The result is 9. Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.

When dividing -27 by -3, the result is positive. In this case, the negative signs cancel out each other, and two negatives make a positive.

To understand why, think of division as the process of finding out how many times one number (divisor) can fit into another number (dividend). In this case, we are trying to find out how many times -3 can fit into -27.

-27 ÷ (-3) = 9

Here's the step-by-step calculation: -3 times 9 equals -27, which matches the dividend. So, the result is 9.

Since both the divisor (-3) and the dividend (-27) are negative, the final result is positive.

In conclusion, -27 divided by -3 is positive 9.

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