Nazri put some nails into a box and the total mass was 4 kg. Hari put some
screws into a similar box and the total mass was 10 kg. The screws were 3 times
as heavy as the nails.
(a) What was the mass of the nails?
(b) What was the mass of the box?​

Answer:

484 meters

Step-by-step explanation:

diameter of a circular Garden = 140 metre

we know diameter = 2*radius

140 = 2*radius

radius = 140/2 = 70 meter

thus, radius of garden is 70 meter

Given that

On its outside there is a road of 7 metre wide

Thus, radius of garden along-with road will increase by 7 meters

Total radius of garden and road = 70 meter + 7 meter = 77 meter

 outer circumference of the road can be calculated using radius 77 meter.

we know that circumference = [tex]2\pi r[/tex]

we will use value of [tex]\pi = 22/7[/tex]

Thus, outer circumference of the road ​ with radius 77 m

= [tex]2\pi r \\=>2*22/7 *77\\=> 44*11 = 484[/tex]

Thus,

The outer circumference of the road ​is 484 meters.

The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]

Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.

So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

To know more about quadratic equation follow

https://brainly.com/question/1214333

#SPJ2

Answer:

Check Screenshot

Step-by-step explanation:

A = old value

B = new value

C = percent change

C = [ (B-A)/A ] * 100%

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

Example:

Lets say we start at A = 10 and increase to B = 15. The percent change would be...

C = [ (B-A)/A ] * 100%

C = [ (15 - 10)/10] * 100%

C = (5/10) * 100%

C = 0.5 * 100%

C = 50%

The positive C value means we have a percent increase. Going from 10 to 15 is a 50% increase.

Answer:

Determined

Step-by-step explanation:

Determined

Answer:

is it 15.8

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

p: Atlanta is the capital of Georgia.

q: There are 4 feet in a yard.

p is true; q is false

11. p V q:

Atlanta is the capital of Georgia, or there are 4 feet in a yard.

Truth value: true since one of the statements is true.

12. p ▲ q:

Atlanta is the capital of Georgia, and there are 4 feet in a yard.

Truth value: false since not both statements are true.

13. p ▲ ~q:

Atlanta is the capital of Georgia, and there are not 4 feet in a yard.

Truth value: true since both of the statements are true.

11. ~p V q:

Atlanta is not the capital of Georgia, or there are 4 feet in a yard.

Truth value: false since both statements are false.

Answer:

Step-by-step explanation:

Answer:

[tex]x = 3^{11}[/tex]

Step-by-step explanation:

relation between logarithmic and exponential form is given by

[tex]\log_a x = y \\[/tex] is same as [tex]a^y = x[/tex] where a>0 and a is not equal to 1.

____________________________________________

[tex]\log_3 x = 11 \\\\x = 3^{11}[/tex]

Thus, exponential form is [tex]x = 3^{11}[/tex]

Answer:

(24) 3 - 4b = 10c + 10

(25) 4(3c+5) = 8

(26) - 6

(27) 4

Step-by-step explanation:

These questions require that words are translated into equations and then may be solved.

(24)  Three minus four times a number is equal to ten times a number plus ten.

let the first number be b.

(a)Three minus four times a number ... can be represented as:

3 - (4 x b) = 3 - 4b

(b) ...ten times a number plus 10

let the other number be c. Therefore we have;

(10 x c) + 10 = 10c + 10

Now, three minus four times a number is equal to ten times a number plus ten means that expressions in (a) and (b) above are equal. i.e

3 - 4b = 10c + 10

(25) Four times the quantity of three times c plus 5 is equal to 8.

(a) four times the quantity of three times c plus 5 can be represented as

4 x (3 x c + 5) = 4(3c + 5)

(b) ... is equal to 8. This means that the expression in (a) is equal to 8.

4(3c + 5) = 8

(26) Six less than two thirds of a number is negative ten. Find the number.

(a) six less than can be represented as:

- 6

(b) two thirds of a number can be represented as

([tex]\frac{2}{3}[/tex])x           [where x is the number]

(c) six less than two thirds of a number can thus be written as;

([tex]\frac{2}{3}[/tex])x - 6

(d) ... is negative 10 means that the expression is (c) above is equal to -10. i.e

([tex]\frac{2}{3}[/tex])x - 6 = -10

(e) Find the number.

The number can be found by solving for x in the expression in (d) above.

([tex]\frac{2}{3}[/tex])x - 6 = -10         [multiply through by 3]

2x - 18 = -30        [collect like terms]

2x = -30 + 18

2x = -12               [divide both sides by 2]

x = - 6

Therefore, the number is -6

(27) Twenty-nine is thirteen added to four times a number. What is the number.

(a) ... thirteen added to four times a number can be written as:

13 + 4b         [where the number is b]

(b) Twenty-nine is thirteen added to four times a number means that the 29 is equal to the expression in (a) above. i.e

29 = 13 + 4b

(c) Find the number.

The number can be found by solving for b in the expression in (b) above. i.e

29 = 13 + 4b        [collect like terms]

4b = 29 - 13

4b = 16                [divide both sides by 4]

b = 4

Therefore, the number is 4.

Answer:

Option a. Y=3x

Step-by-step explanation:

Let us use cross multiplication method.

Let the cost of 1 magazine be x.

No. of copies                               Cost

1)50                                                $150

2)1                                                      x

50x=150 x 1               equation(1)

x=150/50

x=$3

Now see equation (1),

150=50x

150=50 x 3

Here let us represent the cost as y and no. of copies as x.

Y=3x

Therefore, a. Y=3x is the right answer.

Thank you!

Answer:

B

Step-by-step explanation:

8 yards = 3 * 8 = 24 ft^2

1 mile = 5280

3*3 = 9 square feet

9 square feet holds 9 people.

1 square foot holds 1 person

8*3 * 5280 people could stand in an area of 8 yards * 1 mile

Though it's not quite correct, the answer is B

Answer:

m

Step-by-step explanation:

Answer:

Sin 73 = 0.956304756, Cos 17 = 0.956304756

Sin 18 = 0.3090169944, Cos 72 = 0.3090169944

This only works when the Sin angle and the Cos angle are complementary, meaning they add up to 90 degrees.

55+35=90

30+60=90

15+75=90

73+17=90

18+72=90

(Keep in mind the values for the Sin and Cos are approximations)

I hope this helped! :D

Answer:

Question 1: d ≥ 4  or  d ≤ -8

Step-by-step explanation:

Question 1 Solve the inequality. |d + 2| ≥ 6

d + 2 ≥ 6  or  d + 2 ≤ -6

d ≥ 4  or  d ≤ -8

Answer:

9 and 10

Step-by-step explanation:

9²=81

10²=100

98 lies between 81 and 100

Answer:

  B. at an x–intercept

Step-by-step explanation:

You can find a graph of the sine function in numerous places.

  y = sin(0) = 0

  y = 0 for x = 0

so, on the given interval, it starts at an x-intercept.

Answer:

e. cannot be determined

Step-by-step explanation:

m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5

n = 1/2(x² + x + 10) =

m/n = (x+5)/(1/2(x² + x + 10))

Not enough information

Answer:

(9+6+3)×16=288

Step-by-step explanation:

add all the books and then multiple by the price of one book to get an answer

Answer:

72ft

Step-by-step explanation:

A=wl=9·8=72ft²

Answer:

A-Third quartile-First quartile

Step-by-step explanation:

The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot

Answer: Five to the power of three (5*5*5) is equal to 125.

Hope this helps!

Answer:

125

Step-by-step explanation:

[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]

Answer:

x = 36

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.

i. Determination of y

2x + y = 180 (angle on a straight line)

Rearrange

y = 180 – 2x

ii. Determination of z.

z + 4x = 180 (angle on a straight line)

Rearrange

z = 180 – 4x

iii. Determination of x

x + y + z = 180 (sum of angles in a triangle)

But:

y = 180 – 2x

z = 180 – 4x

Therefore,

x + y + z = 180

x + 180 – 2x + 180 – 4x = 180

Collect like terms

x – 2x – 4x = 180 – 180 –180

– 5x = – 180

Divide both side by – 5

x = – 180 / – 5

x = 36

Therefore, the value of x is 36.

Answer:

30

Step-by-step explanation:

From angle chasing, we know that the angle 2 is 180-56=124. So 12x+4=124, which means 12x=120 so x=30

Answer:

g(x) = [tex](\frac{x}{3})^2[/tex] which is A.

Step-by-step explanation:

I did this before. You have to trust me.

Answer:

$13

Step-by-step explanation:

First, find how much she put into the bank:

84 - 45 = $39

Then, multiply this by 2 to find how much she made, because this was half of the money she got:

39(2) = 78

Then, divide this by 6 to find how much she makes a day:

78/6 = 13

= $13

Answer:

+ (+9) = -9  

Step-by-step explanation:

- (-9) = 9 A negative times a negative is a positive

- (+9) = -9   A negative times a positive is a negative

+ (-9) = -9  A positive times a negative is a negative

+ (+9) = -9 A positive time a positive is a positive

Answer:

answer is B . in order to make the triangles congruent the angle A and angle A'

Answer:

a and  b

Step-by-step explanation:

Answer:

cos(240) = -1/2

sin(240) = -√3/2

Answer:

4.4 cm

Step-by-step explanation:

Arc length = 2*pi*r*(central angle) / 360

Arc length = 2*(22/7)*3.5*(72/360)=4.4 cm

Answer:

Surface area of a cone = 461.58 In²

Step-by-step explanation:

Surface area of a cone = πrl + or

Surface area of a cone = πr(r+l)

Where r = radius

Radius= diameter/2

Radius=14/2

Radius= 7 inch

And l slant height= 14 inch

Surface area of a cone = πr(r+l)

Surface area of a cone = π*7(7+14)

Surface area of a cone = 7π(21)

Surface area of a cone = 147π

Surface area of a cone = 461.58 In²

a = 18°

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°