How many 3 digits positive integers exist that when divided by 7 leave a remainder of 0

Answer:

z=3

Step-by-step explanation:

1. collect like terms

5z-5=25-5z

2. Move the variable to the left hand side and change its sign

5z-5+5z=25

3. Collect like terms

10z=25+5

4. Divide both sides of the equation by 10

z=3

The solution to the equation is z = 3.

To solve for z in the equation 3z - 5 + 2z = 25 - 5z, we can simplify and combine like terms on both sides:

3z + 2z + 5z = 25 + 5

Combining the terms on the left side gives:

10z = 30

Next, we isolate the variable z by dividing both sides of the equation by 10:

(10z)/10 = 30/10

This simplifies to:

z = 3

Therefore, the solution to the equation is z = 3.

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Answer:

[tex]\text{A. }y=1.30x+1.50[/tex]

Step-by-step explanation:

The two ringtones will cost her a total of [tex]0.75\cdot 2=1.50[/tex] and is a fixed amount. The relationship between the cost and number of songs only is [tex]y=1.30x[/tex] and therefore the answer is [tex]\boxed{\text{A. }y=1.30x+1.50}[/tex]. You can also directly find the answer by finding the y-intercept (in this case [tex]1.50[/tex]), as no other answer choices include the term [tex]1.50[/tex], so A must be the correct answer.

the one we barely see in the photo you took seems a good fit. on the left wich 3 blue stripes and one white. and with stripes of half the size, 6 blue and two white

Answer:

Answer is a because it has

Step-by-step explanation:

3 blue and 6 blue trust me

Answer:

x² -1x + 3x -3

= x² +2x -3

hope it helps

Answer:

(y2-y1)/(x2-x1)

Step-by-step explanation:

The slope is the change in y over the change in x

(y2-y1)/(x2-x1)

where ( x1,y1) and (x2,y2) are two points on the line

Answer:

O  A.  [tex]\frac{y2-y1}{x2-x1}[/tex]

Step-by-step explanation:

This is just about how the Slope-Formula works

ok so you get two points off a graph then you use it to plot it in the Slope-Formula like this

for example imma go with (-2, 5) and (3, 7)

I need to subtract 7 - 5 / 3 - -2. so...

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{7-5}{3--2}[/tex]        Only add the denominators when there's 2 - signs together

m = [tex]\frac{2}{5}[/tex]            

Answer:

61.05

Step-by-step explanation:

1/20 = 5/100 = 0.05

61+0.05 = 61.05

Answer:

below

Step-by-step explanation:

Clare's mistake was the writing of 4000 in standard form

he wrote 4 ×10²

instead of 4 ×10³

Answer:

Step 1

Step-by-step explanation:

I believe Claire's mistake is when she tries to simplify 4000

She says that 4000 = 4 × 10²

4000 is actually equal to 4 ×10³

Answer:

slope of the line is 0

Step-by-step explanation:

given points are:

(-3 , 2)=(x1 , y1)

(4 , 2)=(x2 , y2)

slope =y2 - y1/x2 - x1

=2-2/4-(-3)

=0/4+3

=0/7

=0

Answer:

The value of x in the triangle is 17.51

Option C is the correct answer.

We have,

From the figure,

We can use the tangent function.

This means,

Tan = perpendicular / Base

i.e

tan 35 = x / 25

0.700 = x / 25

x = 0.700 x 25

x = 17.5

Thus,

The value of x in the triangle is 17.51.

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Answer:

128° because it is same side exterior with <5

Step-by-step explanation:

[tex] < 6 = \: < 4 = \: < 1 = 128 \degree[/tex]

Answer:

128 because it corresponding with 5

52km multiply by 4(days)=208

Answer:

Answer:Uh oh! It looks like your question is missing some crucial information.

Step-by-step explanation:

You didn't include the"given line"

Answer:

the second one

function A has a slope of 3

function B has a slope of 5

9514 1404 393

Answer:

  А. Зп > 9

Step-by-step explanation:

The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.

9514 1404 393

Answer:

  3x^4 +x^3 +3x^2 -18x +4

Step-by-step explanation:

The multiplication is done the same way as "long multiplication" with numbers. Each partial product is placed in the column corresponding to its "place value" (the degree of the variable). The only difference from numerical multiplication is that the sums of the partial products have no carry into any column with a different "place value".

Answer:

1.5 units^2

A

Step-by-step explanation:

AB (the base) = 4 - 1 = 3

AC (the height) = 5 - 1 = 4

Area = 1/2 * b * h

Area = 1/2 * 4 * 3

Area = 6 units^2

Now when you dilate it by a factor or 1/2, it means that each dimension is multiplied by 1/2.

So AB becomes 1.5

AC becomes 2

The area of the new triangle = 1/2 * 1.5 * 2 = 1.5

Be careful with this. Be sure that you understand that it is the sides making up the triangle that get cut in 1/2 and not just the area.

Answer:

9656.06 meters

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

GIVEN

x = 6

y = 2

STEPS

(4x - 12) + (1/3xy - 5 )

(4(6) - 12 ) + ( 1/3(6x2) - 5)

(24 - 12) + ( 1/3(12) - 5)

12 + (4 - 5)

12 + (-1)

(12 - 1)

11

Answer:

8.8

Step-by-step explanation:

Akhtar's bonus = 20% × £70 = £14

karl's bonus = 20% × £26 = £5.2

Difference = £14 - £5.2 = 8.8

**I'm not sure about the answer sorry, please get it checked.

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

Answer:

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Step-by-step explanation:

Volume of a right circular cone:

The volume of a right circular cone, with radius r and height h, is given by the following formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Implicit derivation:

To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

Radius is 107 in. and the height is 151 in.

This means that [tex]r = 107, h = 151[/tex]

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.

This means that [tex]\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6[/tex]

At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.

This is [tex]\frac{dV}{dt}[/tex]. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))[/tex]

[tex]\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}[/tex]

[tex]\frac{dV}{dt} = 1926[/tex]

Positive, so increasing.

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Answer:

145 cups of lemonade; 2x+1.50y=425, where y=90

Step-by-step explanation:

Let us first set up an equation, where x represents number of cups of lemonande, and y represents number of candy bars. We know that every cup of lemonade costs $2, every candy bar sold costs $1.50, and that Marcia sold a total of $425. We now have equation:

[tex]2x+1.50y=425[/tex]

However, we actually know how many candy bars Marcia sold. Therefore, our y value is 90. Let's rewrite the equation:

[tex]2x+1.50*90=425\\2x+135=425\\2x=290\\x=145[/tex]

Therefore, Marcia sold 145 cups of lemonade.

I hope this helps! Let me know if you have any questions :)

Answer:

Time taken for pump B to empty pool = 1 hour.

Step-by-step explanation:

Given:

Time taken for pump A to empty pool = 4 hour

Time taken together = 48 minutes = 48 / 60 = 4/5 hour

Find:

Time taken for pump B to empty pool

Computation:

Assume;

Time taken for pump B to empty pool = a

1/4 + 1/a = 1 / (4/5)

1/4 + 1/a = 5/4

1/a = 5/4 - 1/4

1/a = (5 - 1) / 4

1/a = 1

a = 1

Time taken for pump B to empty pool = 1 hour.

Answer:

Area of triangles 1 = 18 ft²

Area of triangles 2 = 16 in²

Area of triangles 3 = 90 yd²

Step-by-step explanation:

Given:

1] Height of triangle = 4 ft

Base of triangle = 9 ft

2] Height of triangle = 4 in

Base of triangle = 8 in

3] Height of triangle = 12 yd

Base of triangle = 15 yd

Find:

Area of triangles

Computation:

Area of triangles = (1/2)(Base)(Height)

Area of triangles 1 = (1/2)(4)(9)

Area of triangles 1 = 18 ft²

Area of triangles 2 = (1/2)(4)(8)

Area of triangles 2 = 16 in²

Area of triangles 3 = (1/2)(12)(15)

Area of triangles 3 = 90 yd²

Answer:

40 ounces

Step-by-step explanation:

One foot = 12 inches

3 inches is 1/4 of a foot

Divide 10 pounds by 4 to get 2.5 pounds

Convert to ounces

9514 1404 393

Answer:

  9 years

Step-by-step explanation:

The simple interest formula is ...

  I = Prt

where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...

  t = I/(Pr) = 1125/(2500×.05) = 1125/125

  t = 9 . . . . years

It will take 9 years for Anna to earn 1125 in interest.