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Mumz
1 month ago
9

Garth estimated the height of the door to his classroom in meters what is a reasonable estimate

Mathematics
1 answer:
Inessa [12.5K]1 month ago
8 0
An estimate of approximately 2/3 meters would be sensible.
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Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,
PIT_PIT [12445]

Answer:

(A)(12, 9)

Step-by-step explanation:

Provided:

The starting point of the stencil's left edge is at (2, -1).

A designated point, referred to as Q on the stencil, is located at (4, 1).

Point Q divides the stencil in a 1:4 ratio.

We are tasked with determining the endpoint of the stencil.

Mathematically, Point Q segments the stencil internally in a 1:4 ratio.

For calculating the internal division of a line segment with initial point (x_1,y_1) and end point (x_2,y_2) in the ratio m:n, we apply the formula

Q(x,y)=(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n} )

(x_1,y_1)=(2, -1), (x_2,y_2)=?, Q(x,y)=(4,1), m:n=1:4

Consequently:

(4,1)=(\dfrac{1x_2+4*2}{1+4},\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5},\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)

The selected choice is A.

6 0
1 month ago
Read 2 more answers
What is the total cost of an item priced $4.95 if there is 5% sales tax?
Zina [12379]
4.95 + 4.95 × 0.05 = 5.20
$5.20
7 0
17 days ago
Recycled cd’s incorporated, offers a choice of 5 used CD for $24, with each additional CD costing $5. Write a cost function for
AnnZ [12381]

If $24 is the price for the 5 used CDs, then your formula would be "24+5x" where x represents the count of additional CDs you buy.

24+5(6-5)

24+5(1)

24+5

=29


Thus, acquiring 6 CDs would cost $29


I hope that’s accurate, good luck^^

5 0
1 month ago
Delaney would like to make a 10 lb nut mixture that is 60% peanuts and and 40% almonds. She has several pounds of peanuts and se
AnnZ [12381]

Response:

If there are "p" pounds of peanuts and "m" pounds of a mixture containing '20% peanuts and 80% almonds', then we can formulate the following equations:

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

The solution yields 5 lb peanuts and 5 lb mixture.

Detailed explanation:

In the mixture that Delaney desires to create, there will be

\frac {10 \times 60}{100} lb

= 6 lb of peanuts

Thus, there will be (10 - 6) lb

= 4 lb of almonds

If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then based on the problem statement,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

From equation (2), we derive

m = 5 --------------(3)

From (1) and (3), we find that

p = (10 - 5) = 5

7 0
15 days ago
What is 65, 124 rounded to the nearest thousand
AnnZ [12381]
65,000. I'm quite certain because a 1 wouldn't be sufficient to shift the 5 higher.
7 0
22 days ago
Read 2 more answers
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