When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?

Answer:5

Step-by-step explanation:

w(n)=4-1

=5

Answer:

98.8 km/h

Step-by-step explanation:

Given that:

Distance traveled towards east, [tex]D_1[/tex] = 567.6 km

Time taken towards east, [tex]t_1[/tex] = 2.3 hours

After turning back:

Distance traveled towards west, [tex]D_2[/tex] = 221.8 km

Time taken towards west, [tex]t_2[/tex] = 1.2 hours

To find:

Average Velocity during the trip in km/h = ?

Solution:

First of all, let us consider the image attached in the answer area:

Let the black panther runs to point I from G and the turns back to point H.

GI = 567.6 km

IH = 221.8 km

Formula for Average Velocity is given as:[tex]\text{Average Velocity= }\dfrac{\text{Displacement}}{\text{Total Time Taken}}[/tex]

Here, Displacement will be GI - IH = [tex]D_1-D_2[/tex] =567.6 - 221.8 = 345.8 km

Total time taken = t_1+t_2 = 2.3 + 1.2 = 3.5 hours

[tex]\text{Average Velocity= }\dfrac{345.8}{3.5} = \bold{98.8\ km/h }[/tex]

The answer is:

Average Velocity = 98.8 km/h

Answer:

house 3 floors

Step-by-step explanation:

i'm totally guessing i'm most likely wrong

Answer:

y=(7/5)x + 34/5

Step-by-step explanation:

All straight lines generally follow the equation format of: y=mx+c

Where m is the slope/gradient of the line, and c is a constant, the y-intercept, the y value when x=0.

To start, we need to find the slope, which we do by dividing the rise of the line by the run, that is the difference between the y value of two points divided by the different between the x value of two points.

We can use the two given points on the graph: (-7,-3) and (-2,4).

The rise is 7 because 4-(-3)=7, and the run is 5 because -2-(-7)=5.

Therefore the slope is 7/5.

so our equation so far is:

y=(7/5)x + c, (It is positive because the line is 'going upwards'.)

Now to find the c, we can just substitute in a pair of coordinates, we can use (-2,4):

4= (7/5)(-2) + c

4 = -14/5 + c

4 + 14/5 = c

c= 34/5

Therefore our full equation is:

y=(7/5)x + 34/5

Hope this helped!

Answer:

620

Step-by-step explanation:

95% × 620 =

(95 ÷ 100) × 620 =

(95 × 620) ÷ 100 =

58,900 ÷ 100 =

589;

Answer:

136 + 129= 265

Step-by-step explanation:

when you're finding the difference and one number is positive and the other is a negative number you will add the negative instead of add them together so you would 129 to 136 which would equal 265. this rule applies to the opposite too. if both numbers are positive, then you would subtract them.

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

Answer:

Step-by-step explanation:

15 boys  + 12 girls = 27 students

15:27 = 5:9

First, add to find total number of students.

15 + 12 = 27

Second, create the new ratio.

15 to 27

Best of Luck!

Answer:

1. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}[/tex]

2. [tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{ \frac{6}{x + 1} = \frac{3}{x} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{6x = 3(x + 1)}}[/tex]

Distribute 3 through the parentheses

[tex] \dashrightarrow{ \sf{6x = 3x + 3}}[/tex]

Move 3x to left hand side and change it's sign

[tex] \dashrightarrow{ \sf{6x - 3x = 3}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{3x = 3}}[/tex]

Divide both sides by 3

[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 1}}[/tex]

The value of x is 1

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

2. [tex] \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} [/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}[/tex]

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

[tex] \dashrightarrow{ \sf{2n - 2 = 12n + 48}}[/tex]

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{2n - 12n = 48 + 2}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 10n = 48 + 2}}[/tex]

Add the numbers : 48 and 2

[tex] \dashrightarrow{ \sf{ - 10n = 50}}[/tex]

Divide both sides by -10

[tex] \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{n = - 5}}[/tex]

The value of n is -5 .

Hope I helped!

Best regards! :D

Answer:

um

Step-by-step explanation:

Answer: a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Step-by-step explanation:

Answer:

The cube has nine symmetry planes. Three planes lie parallel to the side squares and go through the centre (picture). Six planes go through opposite edges and two body diagonals. They divide the cube into prisms

Answer:

he last ratio is written incorrectly.

Mandy reversed the input and output in the numerator and denominator.

The correct ratio is 50/10.

The relationship is proportional.

Answer:

4/1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because if you go from one point to the next, it is 4 up and 1 across, therefore 4/1, or 4 :)

Answer:

4.0503

Step-by-step explanation:

Answer:

Rotation of 90° (x, y) → ( ‐ y,  x )

Rotation of 180° (x, y) → ( ‐ x,  ‐ y )

Rotation of 270° (x, y) → ( y,  ‐ x )

idk 360...

Answer:

+ 7 or - 7

Step-by-step explanation:

x^2 = 49

x = (49)^1/2     (1/2 means nothing but square root)

x = + or - 7

I said this answer because you square 7 and -7 and still get 49

Answer:

154.98

Step-by-step explanation:

Answer:

155(estimated to 3 s.f)   154.98(exact value)

Step-by-step explanation:

Very nice question bro

Answer: x=2

hope this helps!

Answer:

the shaded area= s²-2πr²

Step-by-step explanation:

you have 2 circles

Area of circle=πr²

2 circles=πr²+πr²=2πr²

the area of square=s*s=s²

the shaded area= s²-2πr²

Answer:

67,900

Step-by-step explanation:

Move the decimal place 4 spaces to the right.

Answer:

it is for sure 67,900 :)

Step-by-step explanation:

Answer:

The answer is 10/3 or 3 1/3

Step-by-step explanation:

Hope this helps

Answer:

10

Step-by-step explanation:

Begin with x3 + y3 = 4 . Differentiate both sides of the equation, getting

D ( x3 + y3 ) = D ( 4 ) ,

D ( x3 ) + D ( y3 ) = D ( 4 ) ,

(Remember to use the chain rule on D ( y3 ) .)

3x2 + 3y2 y' = 0 ,

so that (Now solve for y' .)

3y2 y' = - 3x2 ,

.

3x - 2 ≤ -20

Add 2 to both sides:

3x ≤ -18

Divide both sides by 3:

x ≤ -6

Answer: 30

Step-by-step explanation:

*Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ..., 30

* Multiples of 6: 6, 12, 18, 24, 30

* Multiples of 15: 15, 30

Answer:

y=-7

Step-by-step explanation:

when you multiply a negative by a negative, it turns into a positive. -4 x -7 will equal 28, so y=-7, hope this helps

Answer:

m=3/2

y-1=3/2(x-4)

y-1=3/2 x-6

y=3/2 x -5

Step-by-step explanation:

slope of tangent line is equal to slope of line that parallel

Answer:

1- r=.5

2- x=.5

Step-by-step explanation:

sorry my handwriting is bad