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2 years ago

Evaluate the expression below when x = 4, y = 5 3(y-x) + 4y

Mathematics

1 answer:

likoan [24]2 years ago

4 0

Answer:

Step-by-step explanation:

Brackets go first, 5 (y) - 4 (x) = 1. Now, 3 x 1 = 3, you do this because of the 3 next to the brackets. Now add them together.

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Whats the proper abbreviation for twenty-five micrograms

scoundrel [369]

Answer:

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7 0

2 years ago

Consider the figure in the diagram above. ABJK is a rectangle. There are two semicircles cut out of the rectangle. AB=8cm; AJ=18

RUDIKE [14]

First find the area of the rectangle, then remove the circular area.

AB * AJ = 8 * 18 = 144 sq cm

Circle = $\pi r^{2}$
= $\pi 4^{2}$
=3.14 * 16
=50.24 sq cm

144 - 50.24 = 93.76 sq cm shaded area.

3 0

2 years ago

The third term of an arithmetic sequence is 14 and the 9th term is -1. Find the first four terms of the sequence.

Liula [17]

Answer:

The first four terms of the sequence are : 19, 16.5 , 14 , 11.5

Step-by-step explanation:

In the given sequence:

a(3) = 14, a(9) = -1

The general term of a sequence in Arithmetic Progression is:

a(n) = a + (n-1)d

a(3) = a + (3 -1) d = a + 2 d

and a(9) = a + (9- 1 ) d = a + 8 d

⇒ a + 2 d = 14 ......... (1)

and a + 8 d = -1 ........... (2)

Now, solving the given system of equation, we get:

From (1), a = 14 - 2 d

Put in (2), we get:

a + 8 d = -1 ⇒ 14 - 2 d + 8d = -1

⇒ 14 + 6d = -1

or, 6d = -1 -14 = -15

⇒ d = -15/6 = -2.5

or, d = -2.5

Then a = 14 - 2 d = 14 - 2(-2.5) =14 + 5 = 19, or a = 19

Now, first four terms of the sequence is:

a = 19

a(2) = a + 4 = 19 - 2.5 = 16.5

a(3) = a + 2d = 19 + 2(-2.5) = 19 - 5 = 14

a(4) = a + 3d = 19 + 3(-2.5) = 19 - 7.5 = 11.5

Hence, the first four terms of the sequence are : 19, 16.5 , 14 , 11.5

4 0

2 years ago

The ratio of girls to boys in 6th grade is 3:4. If there are 182 6th graders, how many are girls

nataly862011 [7]

Answer:

78 girls

Step-by-step explanation:

Ratio is 3:4, so that means the total number of 182 can be divided into 7 parts. 182 divided by 7 is 26, so each part is 26. The ratio of girls is 3, so 3 times 26 is 78. You can check this by putting (3*26)/(4*26) simplifies to 78/104 to 3/4 which is the right ratio

5 0

2 years ago

Read 2 more answers

If b is the midpoint of ac, ac=cd, ab=3x+4, ac=11x-17, and ce=49, find de

IrinaK [193]

First, we draw our line.

|------------------------------------------------------------------------------------|

a e

Next, break up this line into segments using the information.

|----------------------|----------------------|--------------------|------------------|

a b c d e

The entire line is 29.

ab + bc + cd + de = ae

ab + bc + cd + de = 29

You also know that

bd = bc + cd

Due to midpoint theorem,

ab = bc

cd = de

Then,

2ab + 2cd = 29

The equations we will use are

bd = bc + cd eq1

2bc + 2cd = 29 eq2

Dividing both sides of the equation in eq2 yields

bc + cd = 14.5

bd = bc + cd

bd = 14.5

5 0

2 years ago

Read 2 more answers