Which is equivalent to-2(4-3x)+ (5x-2)

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9. Write the division problem

Sveta_85 [38]

Answer:

The required division problem he must solve is:

$\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}$

Step-by-step explanation:

Consider the provided information.

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.

As we know that the quotient of the number is a negative number.

Therefore, the sign of both numbers must be different,

Thus we can concluded he must select $\frac{2}{3}$ as one of the card, so that product is a negative number.

Let the selected card be x.

$\frac{2}{3} \div x =\frac{-16}{9}\\\\x=\frac{2}{3}\div\frac{-16}{9}\\\\x=\frac{2}{3}\times\frac{-9}{16}\\\\x=\frac{-3}{8}$

Hence, the two cards should be $\frac{2}{3}$ and $\frac{-3}{8}$

The required division problem he must solve is:

$\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}$

3 0

1 year ago

16.A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Sp

MariettaO [177]

Answer:7

Step-by-step explanation:

This can be solved by Venn-diagram

Given there are total 5 students who want french and Latin

also 3 among them want Spanish,french & Latin

i.e. only 2 students wants both french and Latin only.

Also Student who want only Latin is 5

Thus Student who wants Latin and Spanish both only is 11-5-3-2=1

Students who want only Spanish is 8 Thus students who wants Spanish and French is 4

Similarly Students who wants Only French is 16-4-3-2=7

8 0

2 years ago

Read 2 more answers

A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th

Delvig [45]

Answer: Rectangular container is preferred to minimize the costs and there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

$\frac{15}{45}=\frac{1}{3}=\$0.33$

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

$\frac{16}{41}=\$0.39$

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

$\frac{6400}{45}=142.2=142\ approximately.$

Hence, there are 142 rectangular container is needed to pack 6400 candles.

4 0

2 years ago

Read 2 more answers

During a wind storm, two guy wires supporting a tree are under tension. One guy wire is inclined at an angle of 35 degrees and u

lesya [120]

Resultant Vector: 554 N in the angle 80 degrees with the horizontal.

First, we must put each given in Polar form:
1. 500 N in the angle of 35 degrees with the horizontal
2. 400 N in the angle of 140 degrees with the horizontal in the same direction of the first guy wire (counterclockwise direction)

Then, add up the two polar forms, and it would give 553.59 in the angle of 79.26 with horizontal- counterclockwise direction. As estimated, 554 N in the direction of 80 degrees North of East.

5 0

1 year ago

Casey bought sandwiches and bags of chips. Each sandwich cost three times asmuch as a bag of chips. She bought 5 sandwiches for

Lerok [7]

Answer:

Casey Bought 6 bags of chips

Step-by-step explanation:

If each sandwich costs 3 times the amount of a bag of chips and the sandwich is 6 dollars, the chips are 2 dollars. Casey bought 5 sandwiches and spent $30 dollars on sandwiches. Since the total was $42 dollars you have $12 dollars left to get your total of $42. 2x6 = 12 so therefore Casey bought 6 bags of chips.

5 0

2 years ago