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katrin2010 [14]
3 years ago
10

Which expression is equivalent to 30 (1/2x - 2) +40 (3/4y-4)? (will add pic)

Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Given

30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4)

Multiply each of the terms in the first parenthesis by 30 and multiply each of the terms in the second parenthesis by 40.

= 15x - 60 + 30y - 160

= 15x + 30y - 220 → C

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Quick Math, Please Help! Thank you!
lesantik [10]

Answer:

The remaining side has a length of six units.

Step-by-step explanation:

We know that this is an Isosceles triangle because angles A and C are marked as being the same angle.  So we know that AB and CB are the same length.

As we're given their lengths, we can simply equate the two, and solve for x:

x + 4 = 3x - 8\\12 = 2x\\x = 6

So we know that the remaining side has a length of 6.

5 0
3 years ago
Read 2 more answers
!!!! PLS HELP I NEED THE WORK ILL DO WHATEVER!!!! brainlist<
AleksAgata [21]
What do you have to do in that problem?
4 0
3 years ago
Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the
antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is,    $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ M=$11,890\cdot \frac{21.958}{1000}

On solving we get,  M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount=(\$261.082\cdot 48)-11,890

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment=(261.082\cdot 48)+$1500=$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2  

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175  

Collision insurance=$500 deductible:  Premium $148  

Comprehensive insurance= $500 deductible : Premium $85  

Her total annual premium= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60

8 0
3 years ago
There are 4 different math courses, 5 different science courses, and 2 different history courses. If a student must take one of
rusak2 [61]

A student can take three subjects in 40 ways.

<u>SOLUTION:</u>

Given that, there are 4 different math courses, 5 different science courses, and 2 different history courses.

A student must take one of each, how many different ways can this be done?

Now, number ways to take math course = 4

Number of ways to take science course = 5  

Number of ways to take history course = 2

So, now, total possible ways = product of possible ways for each course = 4 x 5 x 2 = 40 ways.

Hence, a student can take three subjects in 40 ways.

6 0
3 years ago
Use Cramers Rule to solve the system <br> 2x - 3y = 11<br> -6x + 8y = 34
Nastasia [14]

Step-by-step explanation:

given :

2x - 3y = 11

-6x + 8y = 34

find : the solutions of the system by using Cramers Rule.

solutions:

in the matrix 2x2 form =>

[ 2 -3] [x] [11]

=

[-6 8] [ y] [34]

D =

| 2 -3 |

|-6 8 |

= 8×2 - (-3) (-6)

= 16-18 = -2

Dx = | 11 -3 |

| 34 8 |

= 11×8 - (-3) (34)

= 88 + 102

= 190

Dy = | 2 11 |

|-6 34 |

= 2×34 - (-6) (11)

= 68 + 66

= 134

x = Dx/D = 190/-2 = -95

y = Dy/D = 134/-2 = -67

the solutions = {-95, -67}

8 0
3 years ago
Read 2 more answers
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