find all the positive integers less than 1000 that are divisible by 2,3,5 and 7

Answer:

Grace is correct. She needs 24 cups of lemonade.

Step-by-step explanation:

With the current ratio 4:3, if you were to have 24 cups of lemonade, then you would have 18 cups of sparkling juice. 24 + 18 = 42 total cups of punch.

Answer:

[tex](-3)^3[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{(-3)^4}{(-3)^1}=(-3)^{4-1}=(-3)^3[/tex]

Answer:

2:26.

Step-by-step explanation:

There are 26 blocks total, and compared to the yellow blocks, there are only two. So that would be 2:26.

Answer:

2:26

Step-by-step explanation:

A ratio is just a mathematical way to show a relationship between things. I wrote it with a colon (:), but you can write it as a fraction or words "x to b."

Most of the time in math, the order of how the question is asked doesn't matter. When it's a ratio, it does matter. Because they ask about the yellow blocks first, that has to be the first part of the ratio.

There are 2 yellow blocks.

Next, it asks for the total. That will be the other part. Add all the total blocks together: 5+7+2+12= 26.

There are 26 total blocks.

Technically, we can simplify this down to 1:13, but it's not asking to simplify it, so let's just leave it as 2:26.

Answer:   2.88 km.

Step-by-step explanation:

We will discuss here how to find the distance when speed and time are given.

When speed and time are given, the distance travelled is calculated by using the formula:

Distance = Speed × Time

The unit of time in speed should be the same as that of the given time.

Solved examples to calculate distance when speed and time are given:

1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?

Solution:

Distance covered in 1 hour = 55 km.

We know, Distance = Speed × Time

Distance covered in 5 hrs = 55 × 5

                                  = 275 km.

Therefore, distance covered in 5 hrs = 275 km.

2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?

Solution:

Speed = 45 km/hour

Time = 36 minutes

      = 36/60 Hour (Since we know, 1 hour = 60 minutes)

      = 3/5 hour

Distance = speed × time

           = 45 × (3/5) km

           = (45 × 3)/5 km

           = 27 km.

3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?

Solution:

Distance covered in 1 hour = 62 km.

We know, Distance = Speed × Time

Distance covered in 7 hrs = 62 × 7

                                     = 434 km.

Therefore, distance covered in 7 hrs = 434 km.

4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?

Solution:

Speed of the car = 70 km/hr

Time taken         = 3 hours 30 minutes

                        = 3 ½ hours.

Distance covered in 1 hour = 70 km

Distance covered in 3 ½ hour = 70 × 3 ½ km

                                          = 70 × 7/2 km

                                          = 245 km.

5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?

Solution:

[1 ½ hr = (60 + 30) minutes = 90 minutes].

Distance covered in 1 minute = 32 metres.

Distance covered in 90 minutes = 32 × 90 = 2880 m.

We know, 1 m = 1/1000 km.

                     = 2880/1000 km.

                     = 2.88 km.

Hope this helps!

Answer:

Answer down below

Step-by-step explanation:

Answer:

A) 75°

Step-by-step explanation:

It is the property of a polygon that the sum of the external angles is equal to 360°.

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

Solving :

⇒ p + 55 + 30 + 75 + 55 + 70 = 360

⇒ p + 85 + 130 + 70 = 360

⇒ p + 285 = 360

⇒ p = 360 - 285

⇒ ∠p = 75°

Answer :

A) 75°

because the property of polygon is equal to 360° the sum of external angles.

Hope it will help you

Answer:

12

Step-by-step explanation:

i assume theres supposed to be an image along with the question but just choose the numberline that has 12 marks on it, with each mark being every 1/4

The simplified value of the given function  [tex]\dfrac{Sin^2\theta}{1+Cos^2\theta}[/tex]  will be equal to 1.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

The given function is:-

[tex]=\dfrac{Sin^2\theta}{1+Cos^2\theta}\\\\\\=\dfrac{Sin^2\theta}{Sin^2\theta}\\\\\\\ = 1[/tex]

Hence the simplified value of the given function  [tex]\dfrac{Sin^2\theta}{1+Cos^2\theta}[/tex]  will be equal to 1.

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Answer: 6x and 18y.

x x x x x x= 6x

30y - 12= 18y

Answer:

30 miles because:

Step-by-step explanation:

10 x 6 = 60/1min

5 x 6 = 30miles

Answer: 157.5

Step-by-step explanation:

I would add 45 % again and you'd get 90 % or

150.00 the find 10 % of 75 which is 10*75/100 or 7.5

then add 150.00+ 7.5 = 157.5

Answer:

Use math  way because it is a good way to solve it

Answer:

[tex]9\sqrt{2}[/tex] m.

Step-by-step explanation:

Side of the square is a

Perimeter is 4 * a = 36

a = 36 / 4

a=9

Diagonal is a[tex]\sqrt{2}[/tex]

[tex]9\sqrt{2}[/tex]

just a quick addition to the reply above.

Check the picture below.

Answer:

it goes up 80 in every column in this problem except the 6,. so the answer is 6,591 423

I hope I help

The vertex form of the given quadratic equation is:

[tex]y = 6*(x + 1)^2 - 16[/tex]

We have the quadratic equation:

[tex]y = 6x^2 + 12x -10[/tex]

First, we need to find the vertex. The x-value of the vertex is:

h = -12/2*6 = -1

To get the y-value of the vertex, we need to evaluate the function in h, so we get:

y = 6 - 12 - 10 = -16

Then the vertex is (-1, -16)

This means that the vertex form is:

[tex]y = 6*(x + 1)^2 - 16[/tex]

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Answer:

y = 6(x + 1)2 – 16.  D ON EDGE

Step-by-step explanation:

Answer:

The answers are

→ a. 15

→ b. 27

→ c. 4

→ d. 72

→ e. 2

→ f. 9

→ g. 1

Step-by-step explanation:

Given expressions:

a. 7 + 2³

b. 9 • 3¹

c. 20 - 2⁴

d. 2 • 6²

e. 8 • (1/2)²

f. 1/3 • 3³

g. (1/5 • 5)⁵

a. 7 + 2³

[tex]7+2^3[/tex]

[tex]2^3 = 8[/tex]

[tex]8 + 7 = 15[/tex]

Hence, 15 is your answer.

b. 9 • 3¹

[tex]9*3^1[/tex]

⇒ [tex]9*(3)[/tex]

⇒ [tex]27[/tex]

Hence, 27 is your answer.

c. 20 - 2⁴

[tex]20 - 2^4[/tex]

[tex]2^4 = 16[/tex]

[tex]20-16 = 4[/tex]

Hence, 4 is your answer.

d. 2 • 6²

[tex]2 * 6^2[/tex]

⇒ [tex]2*6^2[/tex]

⇒ [tex]2*(6*6)[/tex]

⇒ [tex]72[/tex]

Hence, 72 is your answer.

e. 8 • (1/2)²

[tex]8 * (\frac{1}{2})^2[/tex]

⇒ [tex]8*((\frac{1}{2})*(\frac{1}{2}))[/tex]

⇒ [tex]2[/tex]

Hence, 2 is your answer.

f. 1/3 • 3³

[tex]\frac{1}{3} * 3^3[/tex]

⇒ [tex]9[/tex]

Hence, 9 is your answer.

g. (1/5 • 5)⁵

[tex](\frac{1}{5} * 5)^5[/tex]

⇒ [tex]1*1*1*1*1[/tex]

⇒ [tex]1[/tex]

Hence, 1 is your answer.

let the length of the ladder be x Using Pythagoras theorem, |hyp|^2=|opp|^2+|adj|^2

x^2=20^2+7^2

x^2= 400+49

x^2= 449

Square root of both sides:

√x^2= √449

x= 21.19ft

Thus, the length of the ladder is 21.19feet.

Answer:

1307199.57

Step-by-step explanation:

Follow BEDMAS (brackets first, then exponents, then multiplication and division, then addition and subtraction)

587x6543÷285(32+65)

32+65=97

587 x 6543 ÷ 285 x 97

= 3840741 ÷ 285 x 97

= 13476.2842 x 97

= 1307199.57

If a person invests $50 in a business and gets a percentage increase of 10%, then he would have $55 as his final payout.

This refers to the financial activity where a person puts money or an asset into a business or venture to gain profit after a period of time.

Hence, we can see that since your question is incomplete as it does not include the initial amount of both Demarco and Tanya, then a final payout cannot be found.

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Answer:

143,152

Step-by-step explanation:

Answer:

[tex]k \: kk \: = \frac{515151}{333} [/tex]

Answer:

2 codes are possible

Step-by-step explanation:

4 6  

2571

0389

There are only 10 digits and you can only use the digits onces so the answer would be 2 codes are possible.

The number of possible codes will be 5,040.

If each digit can be used only once, then the number of possible access codes is calculated as follows:

The first digit can be any of the 10 digits (0 through 9).

The second digit can be any of the remaining 9 digits (since one digit has already been used).

The third digit can be any of the remaining 8 digits.

The fourth digit can be any of the remaining 7 digits.

Therefore, the total number of possible access codes is:

10 x 9 x 8 x 7 = 5,040

So, there are 5,040 possible access codes if each digit can be used only once and not repeated.

Since there are 200 employees, the company has enough unique codes for each employee for 25 months. After that, the codes will have to be repeated, which may compromise the security of the system.

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Answer:

901334 x 2368 = 2134358912 is the correct answer

Step-by-step explanation:

I hope this helps you :)

Answer:

-1.118 is the required value of tan theta

Answer:

5.32 inches

Step-by-step explanation:

It is given that 1 inch represents 50 feet, or 1 in = 50 feet.

The actual dome is 266 feet. To find the amount of inches, divide 266 with 50:

266 total feet/50 feet per inch = 5.32 inches.

The scale model in inches, therefore, would be 5.32 inches.

~

Answer:

her model will be 5.32 inches

Step-by-step explanation:

use the butterfly proportions method

Make a table of inches to feet. then cross multiply to find 'y' and boom. watch me solve it for a better understanding. Its not as difficult as it seems

inches  feet

   1         50

   y         266

266 x 1 = 50y

266 ÷ 50 = y

y = 5.32

her model will be 5.32 inches

Crackdown result: DFBG

[tex]\sf slope \ (m): \dfrac{y_2-y_1}{x_2-x_1}[/tex]

1)

[tex]\rightarrow \sf m = \dfrac{-13-19}{-1-3}[/tex]

simplify

[tex]\rightarrow \sf m=8[/tex]

2) take two points: (-1,-1), (0, 1)

[tex]\rightarrow \sf m = \dfrac{1-(-1)}{0-(-1)}[/tex]

simplify

[tex]\rightarrow \sf m = 2[/tex]

3) take two points: (1, -8), (2, -16)

[tex]\rightarrow \sf m = \dfrac{-16-(-8)}{2-1}[/tex]

simplify

[tex]\rightarrow \sf m = -8[/tex]

4)

[tex]\rightarrow \sf m = \dfrac{8-(-10)}{0-9}[/tex]

simplify

[tex]\rightarrow \sf m = -2[/tex]

#1

Slope

#2

Slope:-

#3

Slope

#4

Slope:-

Code is

Answer: I believe I answered this on a later post.

Step-by-step explanation:

I did.

Answer:

C) The corresponding sides are congruent.

Step-by-step explanation:

Option C is the correct answer.

Hope it helps you in your learning process.

The angle k will be 100 in the triangle KJL and the side HI will be 4.

A triangle is a plane figure formed by the three sides having sum of the angles 180 degree.

Here in triangle KJL we can see that it is a isosceles triangle So the angle j and angle L will be 40.

Now we can solve

[tex]\angle L + \angle J + \angle K=180\\\\\\40+40+\angle K=180\\\\\\\angle k=180-80\\\\\\\angle k=100[/tex]

Now the side HI in the triangle HGI

We can see that the triangle HGI is the equilateral triangle so the all sides will be equal so

[tex]HI=IG=GH=4\[/tex]

Hence the angle k will be 100 in the triangle KJL and the side HI will be 4.

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Answer:

10/6 = 10/6

 ↓

1 4/6 = 10/6

Step-by-step explanation:

5/6 + 5/6 = 10/6

                    ↓

                  1 4/6

10/6 ÷ 2 = 5/3

10/6 = 10/6

1 4/6 = 10/6