Choose the correct simplification of the expression d3 ⋅ d5.

In previous months, you ordered 80 boxes of pens per month. This month, you want to decrease the number of boxes of pens you ord

Lapatulllka [165]

80(0.40)=32
80-32=48 boxes of pens

3 0

2 years ago

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Sue played four games of golf for these games her modal score was 98 and her mean score was 100 her range of score was 10 what w

earnstyle [38]

Answer : Remaining two observation becomes 97 and 107.

Explanation :

Since we have given that

Mean = 100

Modal value = 98

Range = 10

As we know that ,

Range = Highest-Lowest

Let highest observation be x

Let lowest observation be y

So equation becomes x-y=10 ----equation 1

So, observation becomes

x,98,98,y

Now, we use the formula of mean i.e.

Mean = $\frac{\text{Sum of observation}}{\text{N.of observaton}}$

So, mean = $\frac{x=98=98+y}{4}=400\\\frac{196+x+y}{4}=100\\x+y=400-196\\x-y=204$

So our 2nd equation becomes

x+y=204

On using elimination method of system of linear equation on these two equation we get,

x=97

and

$x+y=204\\y=204-x\\y=204-97\\y=107$

Hence , remaining two observation becomes 97 and 107.

8 0

2 years ago

Rylee took out a loan for $3600 at 13% interest, compounded annually. If she makes yearly payments of $460, will she ever pay of

elena55 [62]

Given that Rylee took out a loan for $3600 at 13% interest.

Where interest is compounded annually.

Interest for 1 year = 13% of 3600 = 0.13*3600 = 468

Amount due after 1 year = Loan + interest = 3600+468 = 4068

Monthly payment = 460

So Amount to be paid after 1 year = 4068-460 = 3608

New due amount $3608 is more than the loan amount $3600

Which means loan will always remain due for his entire life.

Hence Rylee will never be able to pay off the loan.

Interest must be less than the monthly payment in order to pay off the loan.

3 0

2 years ago

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Round to the nearest hundred thousand <br> 89, 659

victus00 [196]

Answer:

The nearest hundred thousand of the provided number is 100,000.

Step-by-step explanation:

Consider the provided number 89, 659

According to place value.

Hundred Th. Ten Th. Thousands hundreds Tens Ones

100,000 10,000 1000 100 10 1

We need to round it to the nearest hundred thousand.

The provided number can be written as 089,659

The digit at the hundred thousand place is 0.

The rule of rounding a number is:

If 0, 1, 2, 3, or 4 follow the number, then no need to change the rounding digit.

If 5, 6, 7, 8, or 9 follow the number, then rounding digit rounds up by one number.

Here, the number at the ten thousands place is 8, so to round up the number increase the digit of hundred thousand place by 1.

The digit at the hundred thousand place is 0 so increase it by 1.

Thus, the number can be rounded to the nearest hundred thousand is shown as:

100,000

The nearest hundred thousand of the provided number is 100,000.

8 0

2 years ago

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For each exercise draw circle O with radius 12. Then draw radii OA and OB to form an angle with the measure named. Find the leng

guajiro [1.7K]

<span>You are asked to draw circle O with radius 12. Then draw radii OA and OB to form an angle with the measure named. You are asked to find the length of AB. The answers for each of the following measures are:
1)Measure of AOB=90, AB = 16.97 units
2)measure of AOB=180, AB = 24 units
3) measure of AOB=60, AB = 10.39 units
3) measure of AOB=120, AB = 10.39 units</span>

5 0

2 years ago