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Georgia [21]
3 years ago
9

How Do You Know How Many Places Are In Fifty Million Without Writing The Number In Standard Form

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0
Fifty million has 8 places
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Triangle J'K'L' shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation: Which scale fa
Free_Kalibri [48]

Triangle JKL has a base that is 1 unit long

Triangle J'K'L' has a base that is 3 units long

3 units / 1 unit = 3

The scale factor is 3.

7 0
3 years ago
Read 2 more answers
Write an equation of a line in point-slope, slope-intercept, and standard form that has
Inga [223]

Answer:

(a) y + 4x - 14 = 0

(b) y = -4x + 14

(c) y + 4x = 14

Step-by-step explanation:

The formula for calculating the equation of line in point - slope form is given as :

y-y_{1}  = m(x-x_{1} )

where m is the slope

Given from the question :

m = - 4

x_{1} = 2

y_{1} = 6

Substituting into the formula , we have :

y - 6 = - 4(x - 2)

y - 6 = -4x + 8

y + 4x - 6 - 8 = 0

y + 4x - 14 = 0

Therefore :

(a) the equation of the line in point - slope form is y + 4x - 14 = 0

(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : y = -4x + 14

(c) the equation of line in standard form is ; y + 4x = 14

5 0
3 years ago
Y varies directly as x. If x = 15 when y = 20, find x when y = 30.
Goryan [66]

Answer:

22.5

Step-by-step explanation:

y=kx

20=k15

k=1•33

30=1•33x

x=22•5

5 0
3 years ago
Zora has bag of potting
Xelga [282]

The question is missing the figure which is attached below.

Answer:

The last box that has dimensions 8 in × 8 in × 10 in

Step-by-step explanation:

Given:

Volume of the soil = 924 cubic inches.

There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.

The volume of the box must be at least 924 cubic inches to accommodate all of the soil.

Now, volume of the first box is given as:

V_1=l\times b\times h=20\times 5\times 10=1000\ in^3>924\ in^3

Volume of the second box is given as:

V_2=l\times b\times h=10\times 10\times 10=1000\ in^3>924\ in^3

Volume of the third box is given as:

V_3=l\times b\times h=10\times 20\times 6=1200\ in^3>924\ in^3

Volume of the fourth box is given as:

V_4=l\times b\times h=8\times 8\times 10=640\ in^3

Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.

6 0
3 years ago
A loan of $12,000 is made at 5.25% interest, compounded annually. After how many years will the amount due reach $22,000 or more
yaroslaw [1]

Answer:

About 16 years

Step-by-step explanation:

First we need to figure out 5.25% of 12000

5.25 x 0.12000 = 0.63

Then we move the decimal

630

Then we need to figure out how many years it will take to reach $22000

Since we already owe $12000, we can just divide using $10000 because 10000 + 12000 = 22000

10000/630 = 15.87

Which is about 16 years

6 0
3 years ago
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