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snow_lady [41]
3 years ago
15

A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +3. It then

crawls 1.5 centimeters left, 4.9 centimeters right, and 7.6 centimeters left. Where is the ant on the number line now?

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

-1.2 cm

Step-by-step explanation:

Let's figure out where the ant is after each step.

Step 1

Start at      +3.0

Move left  <u> - 1.5 </u>

Now at       +1.5

Step  2

Start at           +1.5

Move right  <u> + 4.9 </u>

Now at         +6.4

Step 3

Start at      +6.4

Move left <u> - 7.6 </u>

Now at      -1.2

The ant is now at -1.2 cm.

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Allison has 6 blue pencils and 10 yellow pencils.sadie has 24 pencils that are either blue or yellow.the ratio of blue pencils t
sammy [17]
6 (Allison's number of blue) divided by 16 (Allison's total) is equal to x (Sadie's blue) out of 24 (Sadie's total).
So 6/16=3/8=x/24. So x=3*3, so Sadie's amount of blue pencils is 9. The rest of Sadie's pencils are yellow, so Sadie has 24-9=15 yellow pencils.
3 0
3 years ago
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1. Classify each statement as true or false for all real numbers a, b,<br> and c.
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6 0
3 years ago
The perimeter of the dodecagon is 54 cm. by joining every other vertex of the dodecagon a hexagon is formed. if each side of the
lawyer [7]

Answer:

x = 8.69

Step-by-step explanation:

we know that the perimeter of the dodecagon is 54, so each edge will be 54/12

54/12 = 4.5 cm

if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.

we know that the angle of each vertex is 150 ° because it is a dodecagon

if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know

a would be our x

b = 4.5

c = 4.5

A = 150°

a^2 = b^2 + c^2 - 2bc * cos (A)

x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)

x^2 = 20.25 + 20.25 - 40.50 * -0.866

x^2 = 40.50 + 35.07

x = √ 75.57

x = 8.69

4 0
3 years ago
Writethecoordinatesoftheverticesafteradilationwithascalefactorof 1 5 ,centeredattheorigin. y x -10 10 -10 10 0 S T U S(5, -10) →
densk [106]

Answer:

The answer is below

Step-by-step explanation:

Write the coordinates of the vertices after a dilation with a scale factor of 1/5 , centered at the origin.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Dilation is the reduction or enlargement in the size of an object by a scale factor (k). If k > 1, it is an enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Therefore, if the vertices are dilated with a scale factor of 1/5 , centered at the origin. The new point is:

S(5, -10) → S′(1 , -2) T(10, -10) → T′(2 , -2) U(5, 10) → U′(1 , 2)

6 0
3 years ago
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Tickets to a concert cost $2 for children and $5 for adults. If 630 people attended the concert and the ticket sales totaled $2,
sergeinik [125]
A) C + A = 630
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A = 550

A) C + 550 = 630
Children's tickets = 80



8 0
3 years ago
Read 2 more answers
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