One number is 6 times a second number. The sum of the two numbers is 56. Find the numbersOne number is 6 times a second number.

The sum of the two numbers is 56. Find the numbers

Answer:

Step-by-step explanation:

You have to know how negative exponents "work" to understand this concept.

[tex]\frac{1}{10}=10^{-1[/tex] because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.

Answer:

Step-by-step explanation:

Take two points on the line and find the slope.

(1 , 2)  ; (4 , 4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

          [tex]=\frac{4-2}{4-1}\\\\=\frac{2}{3}[/tex]

m = 2/3  & (1 , 2)

Slope point form : y - y1 = m(x-x1)

[tex]y - 2 = \frac{2}{3}*(x - 1)\\\\y - 2 =\frac{2}{3}x - \frac{2}{3}\\\\y =\frac{2}{3}x-\frac{2}{3}+2\\\\y = \frac{2}{3}x-\frac{2}{3}+\frac{2*3}{1*3}\\\\y=\frac{2}{3}x-\frac{2}{3}+\frac{6}{3}\\\\y=\frac{2}{3}x+\frac{4}{3}\\\\Multiply \ equation \ by \ 3\\\\3y = 2x + 4\\\\2x - 3y + 4 = 0[/tex]

Answer:

The height of flag pole=8.3m

Step-by-step explanation:

We are given that

Height of boy=1.4 m

[tex]\theta=36^{\circ}[/tex]

Distance of boy from the flag pole=9.5 m

We have to find  the height of the flag pole​.

BCDE is a rectangle

BC=ED=1.4 m

CD=BE=9.5 m

In triangle ABE

[tex]\frac{AB}{BE}=tan36^{\circ}[/tex]

Using the formula

[tex]tan\theta=\frac{Perpendicular\;side}{base}[/tex]

[tex]\frac{AB}{9.5}=tan 36^{\circ}[/tex]

[tex]AB=9.5tan36^{\circ}[/tex]

AB=6.90 m

Height of flag pole=AB+BC=6.90+1.4

Height of flag pole=8.3m

=======================================================

Explanation:

Let's say you earn x dollars.

You pay 10% tax on that, which means you pay 0.10x dollars.

This would drop to x-0.10x = 0.90x which is the amount earned after tax.

So you pay 10% of what you earn, and keep 90% of the rest.

Set this equal to the target $100 you want and solve for x.

0.90x = 100

x = 100/0.90

x = 111.11

Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.

Explanation:

The phrasing "given that he or she is a graduate" means we focus on the middle row only. We ignore everything else.

We see that A = 1879 graduates receive financial aid out of B = 2610 graduates total.

This means the probability we want is therefore A/B = 1879/2610 = 0.7199 approximately. This converts to 71.99% and that rounds to 72%

Answer:

the answer is A

Step-by-step explanation:

Answer:

i think its 10.5

Step-by-step explanation:

Answer:

David was 32 two years ago

Step-by-step explanation:

D = 2H + 4

H = 15

D = 30+4

D = 34

David was 32 two years ago

Answer:

b + 24

Step-by-step explanation:

b and 24 would be b + 24

Answer:

F

Step-by-step explanation:I just took the test

We are required to find the distance between both chords.

Answer:

17 cm

Step-by-step explanation:

The two chords are parallel to each other.

This means that a perpendicular line drawn from the centre of the circle will divide both of them into 2 equal sides.

This is depicted in the image attached.

From the Image,the diagonal drawn from one end of either chord through the centre will form the hypotenuse side of either chords.

Thus, using pythagoras theorem, we have for the chord that has a length of 10 cm. Perpendicular distance from centre of chord to centre of circle is;

d = √(13² - 5²)

d = √144

d = 12

Similarly, for chord with length = 24 cm, we have;

d' = √(13² - 12²)

d' = √25

d' = 5

Therefore, distance between chords = d + d' = 12 + 5 = 17 cm

Answer:

2√10 km

Step-by-step explanation:

By Pythagoras theorem,

x^2 + 9^2 = 11^2

x^2 + 81 = 121

x^2 = 121 - 81

x^2 = 40

= 4 x 10

x^2 = 2^2 x 10

x = 2√10 km

Answer:

2000

Step-by-step explanation:

Since the number must be odd, it can have either 1, 3, 5, 7 or 9 in its one's place.

With a 4-digit number starting with 6, any of these digits can be in the one's place and it will still be greater than 6,000.

For the one's place, since we can choose from 5 digits, we have ⁵P₁. In the thousands place, we have one digit which is 6. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively.

So, the total number of 4 digit odd numbers greater than 6000 starting with 6 are 1 × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 1 × 10 × 10 × 5 = 500 numbers.

For the thousands place, we are left with the digits 7, 8 and 9. So, to arrange these 3 digits in the thousands place, we have ³P₁. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively. For the one's place, since we can choose from 5 digits, we have ⁵P₁.

So, the total number of 4 digit odd numbers greater than 6000 starting with 7, 8 or 9 are  ³P₁ × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 3 × 10 × 10 × 5 = 1500 numbers.

So, the total number of 4-digit numbers greater than 6000 that can be constructed is 500 + 1500 = 2000 numbers.

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3

x^2 - 3^2 =

x^2 - 9 =

(x + 3)

(x - 3)

Answer:

Step-by-step explanation:

x²-9=x²-3²

Answer:

1,568 customer

Step-by-step explanation:

Find the lowest common multiple of 98, 112, and 224

98 = 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666

112 = 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232, 1344, 1456, 1568, 1680, 1792, 1904

224 = 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240

The lowest common multiple of 98, 112, and 224 is 1568

Therefore, the 1,568th customer will be the first to receive all 3 iitem

Answer:

It's an identity

Step-by-step explanation:

The answer is an identity

I identity are composed by sin^2 and cos^2

Tan^2 can be simplified into those two sin n cos

Answer:

3.75

Step-by-step explanation:

5 times 6  30/8

Answer:

nom nom

Step-by-step explanation:

nom nommy nom nom

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

To find a probability you take the specific parameters divided by the entire set of possibilities.

For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.

And we know that the total number of orders is 100.

So, we should divide 60 by 100, and we get 60%.

Answer:

49.4 liters

Step-by-step explanation:

we have the basic ratio between liters of petrol (gasoline) and distance driven :

19/50

now, the same ratio has to apply, when we talk about 130 km instead of just 50.

so,

19/50 = x/130

x = 130×19/50 = 13×19/5 = 49.4 liters

if I may add, this is a very bad or at least very, very big car based on today's standards ...

Answer:

not sure what the O is there for?

if it is zero then Oy would make Oy=2(x+3) not correct

3x-y = 2

y=2(x+3)

Step-by-step explanation:

)

Answer:

66

Step-by-step explanation:

Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3

=48+18

=66

Answer:

The smaller angle will be "156°".

Step-by-step explanation:

According to the question,

Before 12, the minute hand at 48 minutes:

= [tex]60-48[/tex]

= [tex]12[/tex] (minutes to 12)

So,

= [tex]12 \ minutes+14 \ minutes[/tex]

= [tex]26 \ minutes[/tex]

hence,

The smaller angle will be:

= [tex]26\times 6^{\circ} \ each[/tex]

= [tex]156^{\circ}[/tex]

Answer:

The angle is 204 degree.

Step-by-step explanation:

The angle turned by minute hand in 1 minute is 6 degree

The angle turned by the hour hand in 1 hour is

For the hour hand :

The angle turned in 1 hour = 360/12 = 30degree

At 2 : 00 , the angle covered = 30 x 2 = 60 degree

In each minute the hour hand moves  = 30 degrees / hour  x  1 hour/60 min  

                              = 1/2 degree  

So at 2: 48   the hour hand is at    2*30  + 48 * 1/2 = 84 degrees

For the minute hand:

In each minute it turns = 6 degrees  

So, at 48 minutes the minute hand is at   48 x 6 = 288 degrees

So, the angle between them is 288 - 84 = 204 degrees  

Step-by-step explanation:

0.484848 =x

x=0.48-------1

100x=48.48-----2

2-1

100x-x =48.48-0.48

99x= 48

x =48/99

[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]

Answer:

both are equal is 0

Step-by-step explanation:

After substituting, the answer is 0 to both

Answer:

NMHGJMHBNKJ6T76 5745

Step-by-step explanation:

7657457657776767

Answer:

1....................

Answer:

Step-by-step explanation:

COEFFICIENT....

justbrainlyuser

Answer:

B. -9

Step-by-step explanation:

The equation would be f(-3)=-3^2

3*3 is 9

Add the - back on, and you get -9

I hope this helps!