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4 years ago

Find the 10th term in the arithmetic sequence -2,-5,-8,-11

Mathematics

1 answer:

ahrayia [7]4 years ago

6 0

The tenth would be -29

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A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?

EastWind [94]

Answer:

67.15

Step-by-step explanation:

subtract 15 percent of 79 from 79

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3 years ago

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Solve the equation x³ − 5 = 59

In-s [12.5K]

Answer:

4 = x

Step-by-step explanation:

x³ - 5 = 59 Add five to both sides of the equation.

x³ = 64 Now find the cubed root of 64

∛64 = 4

x = 4

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3 years ago

on friday,718 peoole went to school play.on saturday,822 people went.about how many oeople saw the play altogether

IrinaVladis [17]

About 1540 people saw the play

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3 years ago

4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.

nignag [31]

Answer:

20 cm

Step-by-step explanation:

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.

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3 years ago

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Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

5 0

3 years ago