What is the solution of the system ?
2x+3y=4
x-y=-3

Answer:

Option A , D and E are correct.

67100 millimeters, 6.71 decameters and 6,710 centimeters measurements are equal to 671 decimeters

Step-by-step explanation:

Use conversion:

1 millimeters = 0.01 decimeter

1 kilometer = 10000 decimeter

1 hectometers = 1000 decimeter.

1 decameter = 100 decimeters

1 centimeters = 0.1 decimeter

As per the statement:

We have to find which measurements are equal to 671 decimeters.

A.

67100 millimeters

Using conversion:

1 millimeters = 0.01 decimeter

then;

67100 millimeters = 671 decimeter.

B.

0.671 kilometers

Using conversion:

1 kilometer = 10000 decimeter

then;

0.671 kilometers = 6710 decimeter.

C.

67.1 hectometers

1 hectometers = 1000 decimeter.

then;

67.1 hectometers = 67100 decimeters.

D.

6.71 decameters

1 decameter = 100 decimeters

then;

6.71 decameters = 671 decimeters

E.

6,710 centimeters

1 centimeters = 0.1 decimeter

then;

6710 centimeters = 671 decimeters.

Answer:

-27/40

Step-by-step explanation:

I had this quiz not to long ago

There are 6 bouquets make for 7 roses.

And, If she use 6 roses then she make 7 bouquets.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

There are 42 roses in a garden.

Diane picks 7 roses for each bouquet of flowers.

And, She uses 6 roses in each bouquet.

Now,

There are 42 roses in a garden.

When, She use 7 roses for each bouquet of flowers.

Then, Number of bouquet = 42 / 7

                                         = 6

Thus, There are 6 bouquets make for 6 roses.

And, When, She use 7 roses for each bouquet of flowers.

Then, Number of bouquet = 42 / 6

                                         = 7

Thus, There are 6 bouquets make for 7 roses.

Therefore, There are 6 bouquets make for 7 roses.

And, If she use 6 roses then she make 7 bouquets.

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The values of N and M are 45 and 9, respectively. This is determined by solving the system of equations where N equals 5 times M and N equals M plus 36.

To solve this problem, we'll set up two equations based on the given information:

1. The value of N is 5 times as much as the value of M:

[tex]\[N = 5M\][/tex]

2. The value of N is 36 more than the value of M:

[tex]\[N = M + 36\][/tex]

We can now solve this system of equations to find the values of N and M.

Substitute the expression for N from the first equation into the second equation:

[tex]\[5M = M + 36\][/tex]

Now, let's isolate M:

[tex]\[5M - M = 36\][/tex]

[tex]\[4M = 36\][/tex]

Now, divide both sides by 4:

[tex]\[M = \frac{36}{4}\][/tex]

[tex]\[M = 9\][/tex]

Now that we have found the value of M, we can substitute it back into one of the original equations to find N. Let's use the first equation:

[tex]\[N = 5 \times 9\][/tex]

[tex]\[N = 45\][/tex]

So, the values of N and M are 45 and 9, respectively.

To determine the individual loss each of the 4 store owners must cover from the $540 total, divide the amount by the number of owners, resulting in $135 per owner.

To find out how much each owner has to pay, you would divide the total loss by the number of owners:

Total loss: $540

Number of owners: 4

Loss per owner: $540 ÷ 4 = $135

So, each owner would be responsible for covering $135 of the loss. Losses during retail events like Black Friday can be significant, as indicated by the National Retail Federation's report on retail shrink; however, here we are focused on the equitable distribution of that loss among the store's owners.

Answer:  

First, Use 5 single box for 0.05

Use 1,  10-block for 0.10

Use 3, 100-block for 3.00.

Then,  we have total single box =  5 + 10 + 300 = 315

Now divide total 315 single boxes by 3 piles,

we get,  

[tex]\frac{315}{3}= 105[/tex]

That is, every part has 105 single boxes.

⇒ Every part has 1, 10-block and 1, 5 single block.

But we did use 5 single block for 0.05 and 1, 10-block for 1.

Thus, each part is of 1.05.

⇒ [tex]\frac{3.15}{3} = 1.05[/tex]

Final answer:

Desiree can evenly distribute her collection of beads into jars by placing 20 beads of the same color in each jar, as 20 is the greatest common divisor of the quantities of pink, blue, and purple beads she has.

Explanation:

Desiree has a collection of beads in three different colors: 100 pink, 80 blue, and 120 purple. To determine how many beads she can put in one jar, while ensuring each jar contains only one type of bead, we need to find the greatest common divisor (GCD) of the three numbers. The GCD is the largest number that divides each of the numbers without leaving a remainder.

First, list the factors of each amount:

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

From the lists above, the highest number common to all three is 20. Therefore, Desiree can place 20 beads in each jar, ensuring that the jars are equally filled with one type of bead.

It did not rain on 12 out of the 30 days in April, which means it was rain-free 40% of the time.

The student asked, "It rained 18 days during April, what percentage of days did it not rain during April?" To calculate the percentage of days it did not rain, first determine the total number of days in April, which is 30. Then subtract the number of days it rained (18) from the total number of days to find the number of days it did not rain:

30 days (total in April) - 18 days (rain) = 12 days (no rain)

Next, divide the number of days it did not rain by the total number of days in the month and multiply by 100 to get the percentage:

(12 days no rain / 30 days total) * 100 = 40%

Therefore, it did not rain 40% of the time during April.

Jared will need 8 pages to hold his 75 sport cards, with 3 additional cards that cannot fit on a complete page. A visual model can be used to interpret the remainder.

To determine the number of pages Jared will need, we can divide the total number of sport cards he has by the number of cards his cardholder can hold on each page. In this case, Jared has 75 sport cards and each page can hold 9 cards.

Therefore, we can find the number of pages needed by dividing 75 by 9:

75 ÷ 9 = 8 with a remainder of 3

Jared will need 8 pages to hold his 75 sport cards. The remainder of 3 indicates that there will be 3 additional cards that cannot fit on a complete page.

To interpret the remainder visually, we can draw a model. We can represent each page as a rectangle and fill in the rectangles with the cards. The remaining cards that cannot fill a complete page will be represented by a smaller rectangle or an incomplete page.

Answer: You will need 220 feet of ribbon and 5 rolls.

Step-by-step explanation:

Hi, to answer this question we have to multiply the amount of ribbon that each box needs (2 3/4) by the number of boxes (80).

Mathematically speaking:

2 3/4 x 8 = (2x4+3)/4 x 8 = 11/4 x 80 = 880/4 = 220 feet of ribbon

You will need 220 feet of ribbon.

Since each roll of ribbon has 50 feet, we have to divide the total amount of ribbon needed (220) by the amount of ribbon that each roll has (50), to calculate the number of rolls needed.

220/50 = 4.4 rolls =5 rolls (1 roll is not fully used)

Answer:

The price of a hot dog, x = $1.1 and the price of soft drink, y = $1.6

Step-by-step explanation:

Let, x= price of a hot dog and y= price of a soft drink

Now, Jamie buys 6 hot dogs and 4 soft drinks for $13.

Then, [tex]6x+4y=13[/tex]

Also, Amy buys 3 hot dogs and 4 soft dogs for $8.50.

Then, [tex]3x+4y=8.5[/tex]

Thus, the system of equations is given by,

[tex]6x+4y=13\ .........(1)\\\\3x+4y=8.5\ ...........(2)[/tex]

Multiplying (2) by 3 and subtracting the equations, we have,

[tex]8y=12.5\\\\y=1.6[/tex]

Then, putting the value of 'y' in equation (1) gives us,

[tex]6x+4\times 1.6=13\\\\6x=13-6.4\\\\6x=6.6\\\\x=1.1[/tex]

In Evan's experiment, the independent variable is the type of toothpaste Evan uses, while the dependent variable is the cleanliness of Evan's teeth.

In Evan's experiment, the independent and dependent variables can be determined based on their definitions. The independent variable is the one that is intentionally varied by the researcher. In this case, it's the type of toothpaste that Evan uses each day. On the other hand, the dependent variable is the one that the researcher measures to see if it changes alongside the independent variable. Here, it is the cleanliness of Evan's teeth as measured by the closeup plaque and water test.

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Without the number of cats, we can only confirm that there are at least 10 pets, which are the dogs, in the apartment complex.

The question is asking for the total number of pets in an apartment complex given that there are 10 dogs and that the only types of pets are cats and dogs. However, the information provided does not specify the number of cats in the apartment complex. With only the information that there are 10 dogs, we cannot determine the total number of pets. To find the total number of pets, additional information about the number of cats would be needed. Without that, if we consider only the known number of dogs, there are at least 10 pets in the apartment complex.