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umka21 [38]
3 years ago
13

Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 a

nd begins spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of money? How much do they have at that time?
Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:

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Lana71 [14]

Answer:

72.1 cm

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle and is in radians (not degrees).

Here we convert 140° to radians:  140°(π/180°) = 2.44 radians.

Then the desired arc length is s = rФ = (29.5 cm)(2.44 radians) = 72.1 cm

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3 years ago
What is correct in these ordered pairs (4,9) and (4,-9)?
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Answer:

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3 years ago
3 Ximena draws an X shape in the coordinate plane as shown. Draw the images of
VARVARA [1.3K]

When a shape is rotated, it must be rotated around a point.

<em>See attachment for the image of each rotation.</em>

To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.

The top coordinates of the X shape are:

A = (0,0)

B = (1,0)

C = (3,0)

D =(4,0)

For 90 degrees counterclockwise rotation, the rule is:

(x,y) \to (-y,x)

So, we have:

A' = (0,0)

B' = (0,1)

C' = (0,3)

D' = (0,4)

For 180 degrees rotation, the rule is:

(x,y) \to (-x,-y)

So, we have:

A' = (0,0)

B' = (-1,0)

C' = (-3,0)

D' = (-4,0)

For 270 degrees counter rotation, the rule is:

(x,y) \to (y,-x)

So, we have:

A' = (0,0)

B' = (0,-1)

C' = (0,-3)

D' = (0,-4)

See attachment for the image of each rotation

Read more about rotations at:

brainly.com/question/1571997

3 0
3 years ago
2. You want to spin yellow. Which spinner should you spin? Explain,
Furkat [3]

Answer:

sppiner A

Step-by-step explanation:

5 0
3 years ago
The wholesale price for a shirt is $5.50. A certain department store marks up the wholesale price by 40%. Find the price of the
Kazeer [188]

Answer:

$7.7

Step-by-step explanation:

Hello, I can help you with this

you can solve this by using a simple rule of three.

Step 1

define

if the wholesale price for a shirt is $5.50,it is 100 percent

$5.50⇔100%

the new price(x) is 40% more than the original, it means 140%

x  ⇔ 140%

the relation is

\frac{5.5}{100}= \frac{x}{140}\\

Step 2

solve for x(isolate x)

\frac{5.5}{100}= \frac{x}{140}\\x=\frac{5.5*140}{100}\\x=7.7

the price of the shirt in the department store is $7.7

Have a nice day.

7 0
3 years ago
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