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4 years ago

Find the 87th term of the arithmetic sequence -19, -13, -7,...

Mathematics

1 answer:

jasenka [17]4 years ago

5 0

Answer: 497

Step-by-step explanation:

The formula for this sequence is (x+6), and since the first three terms are given, you only need to find the last 84 terms.

Multiply 6 by 84

6 * 84 = 504

Now subtract 7 from 504 since -7 is the third term.

504 - 7 = 497

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Two figures have a similarity ratio of 5:8. If the volume of the smaller figure is 875 mm, what is the

Akimi4 [234]

Answer:

Step-by-step explanation:

3 0

3 years ago

On a drawing, the scale is 1 centimeter to 30 centimeters. Which of the following is not correct? actual length = 150 cm; drawin

Brrunno [24]

Answer:

drawing length = 7 cm; actual length = 200 cm

Step-by-step explanation:

The ratio is 1 cm in the drawing is 30 cm in actuality.

If the drawing is 5 cm, multiply by 5

5*1 to get the 5 cm drawing and 5*30 to 150 cm in actual length

5cm drawing = 150 cm actual

11cm drawing multiply by 11

11*1= 11 and 11*30 = 330 cm

11 cm drawing = 330 cm actual

7cm drawing multiply by 7

7*1= 7 and 7*30 = 210 cm

7 cm drawing = 210 cm actual

8cm drawing multiply by 8

The one that is not correct: drawing length = 7 cm; actual length = 200 cm

8*1= 8 and 8*30 = 240 cm

8 cm drawing = 240 cm actual

3 0

3 years ago

If £25 = 650 rubles, how many £ are in 780 rubles?

masya89 [10]

Answer:

Step-by-step explanation:

25£ : 650 rubles

x£ : 780 rubles

25/x = 650/780

(cross multiply)

650x = 25×750

650x = 18 750

divide 18 750 by 650

which is = 30

thus x = 30

3 0

3 years ago

Find the value of the variable and YZ if Y is between X and Z. <br><br> XY=4n+3, YZ=2n-7,XZ=22

ruslelena [56]

Answer:

$\large \boxed{n = \dfrac{13}{3}; YZ = \dfrac{5}{3}}}$

Step-by-step explanation:

I think you have the situation shown in the diagram below.

1. Calculate the value of n

$\begin{array}{rcl}XY + YZ & = & XZ\\4n+ 3 + 2n - 7 & = & 22\\6n - 4 & = & 22\\6n & = & 26\\n & = & \dfrac{26}{6}\\\\& = & \mathbf{\dfrac{13}{3}}\\\end{array}\\\large \boxed{\mathbf{n = \dfrac{13}{3}}}$

2. Calculate the value of YZ

$\begin{array}{rcl}YZ & = & 2n - 7\\& = & 2\left (\dfrac{13}{3}\right ) - 7 \\\\& = & \dfrac{26}{3} - 7\\\\& = & \dfrac{26}{3} - \dfrac{21}{3}\\\\& = & \dfrac{5}{3} \\\\\end{array}\\\large \boxed{YZ = \mathbf{ \dfrac{5}{3}}}$