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1 year ago

14

Lester and Kari are playing a number pattern game. Kari The following pattern. 45.5,49,52.5, ?, 59.5. What is the unknown Number

in the pattern Kari wrote?

2 answers:

lilavasa [31]1 year ago

5 0

57 is the answer cuz im good at math math is my thang

Leno4ka [110]1 year ago

3 0

The numbers are going up by 3.5 so the unknown one would be 56

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Which is the simplified form of x Superscript negative 12?

chubhunter [2.5K]

Answer:

C. $\frac{1}{x^{12}}$

Step-by-step explanation:

We are given that an expression

$(x)^{-12}$

We have to find the simplified form of given expression.

We know that

$a^{-b}=\frac{1}{a^b}$

Using the property then we get

$x^{-12}=\frac{1}{x^{12}}$

Hence, the simplified form of $x^{-12}$ is given by

$\frac{1}{x^{12}}$

Option C is true.

5 0

1 year ago

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Jordan used the distributive property to write an expression that is equivalent to 6c – 48. 6c - 48 is equivalent to 6(c - 48) I

Katyanochek1 [597]

It’s incorrect.

The correct answer is 6(c - 8)

8 0

2 years ago

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A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30

Annette [7]

19 small mowers and 11 large mowers are sold

<em><u>Solution:</u></em>

Let "a" be the number of small mowers sold

Let "b" be the number of large mowers sold

Cost of each small mower = $ 249.99

Cost of each large mower = $ 329.99

<em><u>30 total mowers were sold</u></em>

Therefore,

a + b = 30

a = 30 - b ------------- eqn 1

<em><u>The total sales for a given year was $8379.70</u></em>

<em><u>Thus we frame a equation as:</u></em>

number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70

$a \times 249.99 + b \times 329.99 = 8379.70$

249.99a + 329.99b = 8379.70 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

249.99(30 - b) + 329.99b = 8379.70

7499.7 - 249.99b + 329.99b = 8379.70

80b = 8379.70 - 7499.7

80b = 880

Divide both sides by 80

b = 11

<em><u>Substitute b = 11 in eqn 1</u></em>

a = 30 - 11

a = 19

Thus 19 small mowers and 11 large mowers are sold

8 0

2 years ago

Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do

grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

$WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}$

Since triangle WXY is Isosceles, $\angle XYW=45^\circ$

$\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ$

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

$WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7$

3 0

2 years ago

The leaning tower of Pisa in Italy appears to be cylindrical in shape. It’s height is about 56 meters. If the volume of the towe

zaharov [31]

Answer:1+1×2=4

Step-by-step explanation:

1 +1 =2 ×2 =4

6 0

1 year ago