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vekshin1
3 years ago
13

Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cind

y's savings is represented by the equation T = 190 + 40w, where T is total savings and w is the number of weeks. In how many weeks will Cindy have more money in her savings than Paige? A. 10 B. 12 C. 13 D. 11
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

D. 11

Step-by-step explanation:

T = total savings

w = number of weeks

Paige:

T = 350 + 25w

Cindy:

T = 190 + 40w

In how many weeks will Cindy have more money in her savings than Paige

Equate the total savings of both of them

350 + 25w = 190 + 40w

Collect like terms

350 - 190 = 40w - 25w

160 = 15w

w = 160/15

w = 10.67

Approximately,

In 11 weeks, will Cindy have more money in her savings than Paige

Check:

Paige:

T = 350 + 25w

= 350 + 25(11)

= 350 + 275

= 625

Cindy:

T = 190 + 40w

= 190 + 40(11)

= 190 + 440

= 630

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galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

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Step 3 : Divide that answer by the Actual volume.

\frac{6}{48}=0.125

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

5 0
4 years ago
The two triangles are similar.<br> What is the value of x?<br> Enter your answer in the box.<br> X=
fomenos

Answer:

Step-by-step explanation:

In similar triangles, the corresponding sides are in same proportion.

\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}

Cross multiply,

4x*12 = 15*(3x + 1)

48x    = 15*3x + 15*1

48x    = 45x + 15

48x -45x = 15

          3x = 15

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2 years ago
you were able to purchase 5 gallons of gas for 19.85. how many gallons did you buy if you spent 47.64
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47.64/19.85=2.4

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Check:

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3 years ago
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NNADVOKAT [17]

Answer:

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Step-by-step explanation:

Mean: (a) 1.38

Mean: (b) 1.7

median (a) 1.3

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8 0
3 years ago
Read 2 more answers
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Sindrei [870]

Answer:

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Step-by-step explanation:

3/10 of an hour (60 minutes) equals 18 minutes

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let 't' = time

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divide each side by 3.75 to get:

t = 48 minutes

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3 years ago
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