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larisa86 [58]
3 years ago
8

You begin with $25 in a savings account and $50 in your checking account. Each week you deposit $5 into savings and $10 into che

cking. After how many weeks is the amount in checking twice the amount in savings? Write an equation.
Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

Answer:

The amount in checking will always be twice in any week.

Step-by-step explanation:

Let's say, w represents the week, s represents the saving account and c represents the checking account.

Balance in saving account in any week =s=5w+25

Balance in checking account in any week  =c=10w+50

Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.

We have to find w for 2s = c.

Putting the values, we have:

2(5w+25)=10w+50

\Rightarrow \mathrm{True\:for\:all}\:w

Which means in each week the amount in checking is twice the amount in savings.

Best Regards!

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What is the answer need it
denis-greek [22]

Answer:

\frac{7}{10} |

Step-by-step explanation:

STEP 1:

2/3 + 7/10 = ?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/3, 7/10) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{2}{3} * \frac{10}{10}) + (\frac{7}{10} * \frac{3}{3}) = ?

Complete the multiplication and the equation becomes

\frac{20}{30} + \frac{21}{30}

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{20+21}{30} = \frac{41}{30}

This fraction cannot be reduced.

The fraction 41/30

is the same as

41 divided by 30

Convert to a mixed number using

long division for 41 ÷ 30 = 1R11, so

41/30 = 1 11/30

Therefore:

2/3+7/10= 1 11/30

STEP 2:

41/30 + -2/3

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(41/30, -2/3) = 30

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{41}{30} *\frac{1}{1} ) + ( \frac{-2}{3} * \frac{10}{10} )

The two fractions now have like denominators so you can add the numerators.

Then:

\frac{41+-20}{30} = \frac{21}{30}

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

\frac{21/3}{30/3} =\frac{7}{10}

Therefore:

\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}|

8 0
3 years ago
Help me with this! I'll give Brainliest!!!!!!!!!!!!!!!
kirill115 [55]
Liana is correct bc henry included negative numbers
6 0
3 years ago
Read 2 more answers
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit
SCORPION-xisa [38]

Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = <u><em>proportion of people who write with their left hand</em></u>

So, Null Hypothesis, H_0 : p = 0.22     {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, H_A : p \neq 0.22      {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

4 0
3 years ago
ASAP
Gala2k [10]
35 minutes yes tag it’s let me know if I’m wrong
8 0
3 years ago
Mrs. jack bought 150 T-shirt for $1920 from a factory calculate the cost of one T-shirt
o-na [289]

Answer: $12.80

Step-by-step explanation:

$1980/ 150 t shirts =$12.80 per shirt

6 0
3 years ago
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