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Elis [28]
3 years ago
8

My name is Peter and I am standing on a number line. Today is Wednesday and I am standing on -5. On Tuesday, I was 7 units East

of where I am today. On Monday, I was standing 13 units West of where I was standing on Tuesday. On Sunday, I was standing 4 units West of where I was standing on Tuesday. On which integer was I standing on Sunday? Show your work.
Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

-2

Step-by-step explanation:

-5 + 7 = 2 (tuesday)

2 - 13 = -11 ( monday )

2- 4 = -2 (sunday)

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nataly862011 [7]
3.64 is the estimated difference 
7 0
3 years ago
Solve using a system of equations. Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 110 tickets
Marrrta [24]

Answer:

The number of adults tickets is 80 and the number of students tickets is 30

Step-by-step explanation:

Given as :

The tickets price for adults = $6.00

The tickets price for students = $4.50

Total number tickets were sold = 110

Total Price of 110 tickets = $615.00

Now,

Let The number of adults tickets sold = A

The number of students tickets sold = S

So, according to question

          A + S =  110

And   6 A + 4.5 S = 615

Or,   6 A + 6 S =  660            .....1

       6 A + 4.5 S = 615            ......2

Solving the equations

( 6 A + 6 S ) - ( 6 A + 4.5 S ) = 660 - 615

Or,  ( 6 A - 6 A ) ( 6 S - 4.5 S ) = 45

or,  ( 6 S - 4.5 S ) = 45

or,   1.5 S = 45

∴    S = \frac{45}{1.5}

I,e  S = 30

Put the value of S in eq 1

So,  6 A + 6 × 30 =  660

Or,  6 A = 660 - 180

Or  6 A = 480

∴   A = \frac{480}{6}

I.e A = 80

Hence The number of adults tickets is 80 and the number of students tickets is 30   .     Answer

4 0
3 years ago
$6000 are invested in a bank account at an interest rate of 10 percent per year.
Licemer1 [7]

The amount for the investment of $6000 will be a.$6369  b. $6090  and c.$6030.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

A=P[1+\dfrac{r}{n}]^{nt}

a) The amount in the bank after 6 years if interest is compounded annually.

A=P[1+\dfrac{r}{1}]^{t}\\\\\\A=6000[1+\dfrac{0.01}{1}]^{  6}

A= $6369

b) The amount in the bank after 6 years if interest is compounded quarterly.

A=P[1+\dfrac{r}{4}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{4}]^{4\times 6}

A= $6090

c ) The amount in the bank after 6 years if interest is compounded monthly.

A=P[1+\dfrac{r}{12}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{12}]^{12\times 6}

A=$6030

Hence the amount for the investment of $6000 will be a.$6369  b. $6090  and c.$6030.

To know more about Compound interest follow

brainly.com/question/24924853

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7 0
3 years ago
Small notebooks cost $3.50 and large notebooks cost $5.00. She needs to buy 31 notebooks, and she has $134 to spend. How many sm
Darina [25.2K]

Let's assume

number of small notebooks =x

number of large notebooks =y

we are given

total number of notebooks =31

so, we get

x+y=31

now, we can solve for y

y=31-x

we have

Small notebooks cost $3.50 and large notebooks cost $5.00

she has $134 to spend

so, we get

3.50x+5y=134

now, we can plug y

3.50x+5(31-x)=134

3.50x+5*31-5x=134

-1.5x+155=134

-1.5x+155-155=134-155

x=14

now, we can find y

y=31-14

y=17

so,

number of small notebooks is 14

number of large notebooks is 17.............Answer


6 0
3 years ago
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Which is the general form of the equation of the circle shown ?
Evgen [1.6K]

Answer:

there is no circle

Step-by-step explanation:

or equation...

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