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Murljashka [212]
3 years ago
10

pls help me with this if you know it also to explain it thanks Solve the equation -21 + 70n = 77 for n.

Mathematics
1 answer:
gogolik [260]3 years ago
6 0

Answer:

n = 1 2/5

Step-by-step explanation:

-21 + 70n = 77

Add 21 to each side

-21+21 + 70n = 77 +21

70n = 98

Divide each side by 70

70n/70 = 98/70

n =98/70

n = 70/70 +28/70

n = 1 + 2/5

n = 1 2/5

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A climbing structure needs to be built in the shape of a square-based pyramid. Look at the diagram below. What is the perimeter
Marta_Voda [28]

Answer:

40 m

Step-by-step explanation:

The perimeter of the flat, orange shape is the sum of all the sides that forms a boundary around the shape.

The shape is made up of 4 triangles having 2 equal side lengths each, which surrounds the center square.

Each side length of the triangle, that forms a boundary round the shape = 5 m.

There are 8 of this equal side length.

Perimeter = 8(5m) = 40 m

7 0
3 years ago
Woo-Jin and Kiran were asked to find an explicit formula for the sequence 64\,,\,16\,,\,4\,,\,1,...64,16,4,1,...64, comma, 16, c
olya-2409 [2.1K]

Answer:

f(n)=64(\frac{1}{4})^{n-1}

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}

r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}

r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}

It is a geometric series because it has a common ratio r_1=r_2=r_3=\dfrac{1}{4}.

First term is 64.

The explicit formula of a geometric series is

f(n)=ar^{n-1}

where, a is first term and r is common ratio.

Substitute a=64 and r=1/4 in the above function.

f(n)=64(\frac{1}{4})^{n-1}

Therefore, the required explicit formula is f(n)=64(\frac{1}{4})^{n-1}.

5 0
3 years ago
Read 2 more answers
A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$28. Opti
irina [24]

Answer:

$9500

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week= 19 X 40 = $760

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, 8x/100= 760

Or, 8x= 76000

Or, x= 76000/8= 9,500

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

8 0
3 years ago
Read 2 more answers
The diameter of a circle is 10 meters. What is the area of the circle?(use 3.14 for pie and round to the nearest tenth
asambeis [7]

A=78.54

A=1 /4πd2=1 /4·π·10^2≈78.53982m²

Hope this helps

Formulas

A=πr2

d=2r

8 0
3 years ago
Simplify this rational expression. 2x^2+5x+3/2x^2-x-3
Murljashka [212]

Answer:

2x+3/2x-3

Step-by-step explanation:

firstly we make two steps to simplify this question.

1st step: simplify 2x^{2} +5x+3

to simplify this we use factorization

2x^{2} +2x+3x+3

2x(x+1) +3(x+1)

(2x+3) (x+1)        .....(1)

2nd step:simplify 2x^{2} -x-3

2x^{2} +2x-3x-3

2x(x+1)-3(x+1)

(2x-3)(x+1)          .....(2)

now dividing (1) and  (2), we get the answer

2x+3/2x-3

5 0
3 years ago
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