Level 1
Question
1
T is inversely proportional to N.
When T = 30, N = 5.
(a) Find an equation connecting T and N.
(b) Work out the value of T when N = 10
(C) Work out the value of N when T = 25
*

Answer:

because they wanted to i guess

Step-by-step explanation:

Answer:

$22.17

Step-by-step explanation:

105.36 multiplyed by 0.22 ( you need to change the 22% to a decimal so just make it 0.22) then once you multiplyed them then you get your answer.

Answer:

x>-14

Step-by-step explanation:

x/7>-2

x>-14

Answer:

120

Step-by-step explanation:

use a calculator (if you have one )

Answer:

720

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

There are two 1/2 miles in a mile. this means there are 12 half miles in 6 miles. So take 60*12 to get 720.

Answer:

ima guess $262.50

Step-by-step explanation:

Answer:

I can't see the picture it's a black screen

Answer:

I would say 7, because if you think about you would know that your answer is 7

Given:

The equation is

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

To find:

The simpler equivalent form and solve the given equation.

Solution:

We have,

[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]

It can be written as

[tex]\dfrac{3x+2}{7}=2[/tex]

Multiply both sides by 7.

[tex]3x+2=14[/tex]

[tex]3x=14-2[/tex]

[tex]3x=12[/tex]

Divide both sides by 3.

[tex]x=\dfrac{12}{3}[/tex]

[tex]x=4[/tex]

Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.

Answer:

Step-by-step explanation:

These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.

The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:[tex]\sqrt{2\\}[/tex], so I have to divide the hypotenuse by [tex]\sqrt{2\\}[/tex] to get the legs. The hypotenuse is 15[tex]\sqrt{6}[/tex], so that divided by [tex]\sqrt{2\\}[/tex] is 15[tex]\sqrt{3\\}[/tex]. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15[tex]\sqrt{3\\}[/tex].

The second triangle is a 30 60 90 degree triangle, so the ratio is x:x[tex]\sqrt{3}[/tex]:2x. The short leg is 7[tex]\sqrt{3}[/tex], so 7[tex]\sqrt{3}[/tex] * 2 is the hypotenuse, which is 14[tex]\sqrt{3}[/tex]. The long leg is 7[tex]\sqrt{3}[/tex] * [tex]\sqrt{3}[/tex], which is 21. So, x for the second triangle is 14[tex]\sqrt{3}[/tex], and y for the second triangle is 21.

Answer:

Question 9: x = [tex]15\sqrt{3}[/tex], Question 10: y = [tex]15\sqrt{3}[/tex], Question 11: x = [tex]14\sqrt{3}[/tex], Question 12: y = 21

Step-by-step explanation:

Question 9-10: Right triangles with 45°, 45°, 90° have a special rule, the legs of the triangle are equal, so x = y. Now you can form the statement [tex]2x^2 = 1350[/tex], and because x = [tex]15\sqrt{3}[/tex], so does y.

Question 11-12: Right triangles with 30°, 60°, 90° also have a special rule, the side corresponding to 30° is half the length of the hypotenuse and the side corresponding to 60° is [tex]\sqrt{3}[/tex] times as great as the 60°. x is 2 times as big as [tex]7\sqrt{3}[/tex], so its length is [tex]14\sqrt{3}[/tex]. Y is [tex]\sqrt{3}[/tex] as great as [tex]7\sqrt{3}[/tex], so its length is 21.

Answer:

31.42

Step-by-step explanation:

equation for solving is C= π d

circumference is  π x diameter

so therefore the new equation is π x 10

3.14 (π) x 10 (d) = 31.42

Answer:

x is smaller than 10in so x<5

Step-by-step explanation:

Answer:

I think B is the right one.

Step-by-step explanation:

Hope this helped

Answer:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

Step-by-step explanation:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

An easy way to find out is by plugging the variable with a constant such as 2

Answer:

7

Step-by-step explanation:

the answer is $7 for a 4 mile ride

Nasim pays $7 for 4 miles.

For miles the taxi charges are (3+ m).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

The taxi charges $3 just for the pickup and then an additional $1 per mile driven.

let the taxi drive total x miles then the charges will be

P = 3 + x

Now, for 4 miles put the value of x = 4.

So, P = 3 + 4

P = $7

and, For m miles ride the taxi would cost

P= 3 + m.

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Answer:

19

Step-by-step explanation:

Answer:

one is plus + and the other is mines -

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Ball will bounce 83.9 meters high on the 8th bounce.

Geometric sequence:

        [tex]T_n=ar^{n-1}[/tex]

        Here, [tex]a=[/tex] First term

         [tex]r=[/tex] Common ratio in each term

         [tex]n=[/tex] Number of term

    From the table attached,

                                       [tex]=\frac{320}{400}[/tex]

                                       [tex]=0.8[/tex]

           8th term of the sequence will be,

           [tex]T_8=400(0.8)^{8-1}[/tex]

           [tex]T_8=83.886[/tex]

                [tex]\approx 83.9[/tex] meters

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Total monthly mortgage payment includes option C. Principal, interest, taxes, and insurance.

Mortgage is defined as a type of loan which are typically used to finance or maintain a property which can be land or other kinds of rentals.

They are referred to as secured loans.

Total monthly mortgage payment consist of mainly four components.

They are :

The main components are principal and interest.

Principal amount is the amount that you borrowed for your purpose.

Interest payment is the amount that the lender charges which varies.

Hence the option is C.

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B i think i am sorry if it is not right but i am pretty sure i am right tho

Answer:

a=10, b=5, c=2, d=12

Step-by-step explanation:

Multiply each variable together

5*2=10

8*3=24

10[tex]x^{3}[/tex][tex]y^{2}[/tex]/24x

the coefficients (numbers) can each be divided by 2

5[tex]x^{3} y^{2}[/tex]/12x

subtract the "x" exponents together

5[tex]x^{2} y^{2}[/tex]/12

Answer:

cos0 = 1

sin30= 1/2

tan0 = 0

Answer:

[tex]a) cos0^o = 1\\b) sin30^o = \frac{1}{2} \\c) tan0^o =0[/tex]

Answer:

1/20

Step-by-step explanation:

P(red,red) = 4/16 x 3/15 = 1/4 x 1/5

Answer:

6/24

5/24

Step-by-step explanation:

count how many cards there are(24) then Find out how many red cards there are(4/24=6

Answer:

12%

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year,

then, solving our equation

I = 3900 × 0.12 × 0.25 = 117

I = $ 117.00

The simple interest accumulated

on a principal of $ 3,900.00

at a rate of 12% per year

for 0.25 years is $ 117.00.