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3 years ago

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Which numbers in Set A = {−7, −4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} S

et C = {multiples of 7} and Enter answers from smallest to largest THERE ARE TWO QUESTIONS

2 answers:

tiny-mole [99]3 years ago

6 0

Answer:

$\Huge \boxed{\mathrm{\{ 14, 42\} }}$

Step-by-step explanation:

$\mathrm{Set \ A = \{-7, -4, 2, 14, 21, 34, 42\} }\\\\\\\mathrm{Set \ B = \{even \ numbers\} } \\\\\\\mathrm{Set \ C = \{multiples \ of \ 7\}}$

Whatever number is in Set A, it must also be in Set B and Set C.

The elements in Set A must be an even number and a multiple of 7.

Multiples of 7 from Set A are -7, 14, 21, 42.

The even numbers from these multiples of 7 are 14 and 42.

sweet [91]3 years ago

5 0

Answer:

14, 42

Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7 and 42 is even and a multiple of 7

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Y = 2x + 3<br> y = -2x + 15<br> Can you please explain how to get the answer.

-Dominant- [34]

Answer:

$x = 3$ and $y = 9$

Step-by-step explanation:

Given:

$y = 2x + 3$ .......................... equation i

$y = -2x + 15$ ........................ equation ii

since y is equals to the two functions , we can equate the two values of y . That is , equate equation i and ii , we have

$2x + 3 = -2x + 15$

Add $2x$ to both sides , we have

$2x + 2x + 3 = -2x + 2x + 15$

$4x + 3 = 15$

subtract 3 from both sides , we have

$4x = 12$

divide both sides by 4 , then

$x = 3$

substitute $x = 3$ into equation i to get the value of y , that is

$y = 2(3) +3$

$y = 6 + 3$

$y = 9$

Therefore :

$x = 3$ and $y = 9$

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3 years ago

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Mr. Grummage was dressed in a black frock coat with a stovepipe hat that added to his considerable height. His somber, sallow fa

lisov135 [29]

Answer:

I believe the answer is A, first person.

Step-by-step explanation:

In the story, "I" is being used.

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3 years ago

X and y are in direct proportion, when x is 8, y is 12. Which of the following is not a

Nat2105 [25]

Answer:

d.

Step-by-step explanation:

if x varies directly as y,

x = ky

8 = 12k

12k = 8

k = 8/ 12

k = 2/3,

x = 2/3 y

now substitute the value of any of the numbers of each pair, and check if it works:

for e.g, find x when y = 15

x = 2/3y

x = 2/3 × 15

x = 10

since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .

ii) x = 2/3y

x = 2/3 × 3, when y = 3

x = 2

hence, this is also a possible pair of x and y values.

iii) x = 2/3y

x = 2/3 × 9 when y = 9

x = 6

again, a possible pair of x and y values.

iv) x = 2/3y

x = 2/3 × 20 when y = 20

x = 40/3

here, when y = 20, x is not 15. it is 40/3.

thus, it can be determined that this is not a possible pair of x and y values.

please try to understand and have a great day!

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2 years ago

The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York

beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and let the distance covered by KY is y

Total distance covered is $x+y=720$ ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t+2=\frac{x}{80}$ .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$t=\frac{y}{60}$ .......[3]

Put the value of t from [3] into [2]

$\frac{x}{80}- \frac{y}{60}=2$ ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], $y=720-x$

$\frac{x}{80}- \frac{y}{60}=2$

$\frac{x}{80}- \frac{720-x}{60}=2$

$\frac{60x-80(720-x)}{80\times60}=2$

$60x-57600+80x=9600$

$140x-57600=9600$

$140x=57600+9600=67200$

$x=\frac{67200}{140}=480$

Put x=480 in [1]

$x+y=720$

$480+y=720$

$y=240$

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

$t=\frac{y}{60}$

$t=\frac{240}{60}$

$t=4$

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.

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3 years ago

A rectangle has a length that is 8 less than its width, w. The perimeter is 52. Which equation can be used to determine its

Juliette [100K]

Answer:

2(w-8) +2w=52

its perimeter so u multiply everything by 2 and since u dont know the length but know its 8 less u subtract by width

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3 years ago

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