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iren2701 [21]
3 years ago
8

Z is less than 2 and equal to or less than 8 intersection​

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Less than 2 = z < 2

Less than or equal to 8 = z ≤ 8

z ≤ 8

z < 2

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the
ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

v_1 = 60\ mph

Sheyna drives back from the lake with average speed of 36 mph

v_2 = 36\ mph

It took 2 hours less time to get there than it did to get back.

Let t_1 be the time taken to drive to lake.

Let t_2 be the time taken to drive back from lake.

t_2-t_1 = 2 hrs ..... (1)

To find:

Total time taken = ?

t_1+t_2 = ?

Solution:

Let D be the distance to lake.

Formula for time is given as:

Time =\dfrac{Distance}{Speed }

t_1 = \dfrac{D}{60}\ hrs

t_2 = \dfrac{D}{36}\ hrs

Putting in equation (1):

\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles

So,

t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs

t_2 = \dfrac{180}{36}\ hrs = 5\ hrs

So, the answer is:

t_1+t_2 = \bold{8\ hrs}

8 0
3 years ago
A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have
sleet_krkn [62]

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.

<h3>What is subtraction?</h3>

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.

Bags that have both zip and button

= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons

= 140 - 21 - 39 - 23

= 57

Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,

n = Bags that have both zip and button + Number of bags with zips but no buttons

   = 37 + 21

   = 78

Hence, the number of bags that zips on them is 78.

Learn more about Subtraction:

brainly.com/question/1927340

#SPJ1

4 0
1 year ago
Read 2 more answers
In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many s
Gnoma [55]

Answer:

the number of short sleeves sold is 42

Step-by-step explanation:

The computation of the number of short sleeves sold is shown below:

Given that

The clothing store sold 98 long sleeve shirts

And, the ratio of short sleeve to long sleeve is 3:7

So, the number of short sleeves sold is

= 98 × 3 ÷ 7

= 42

Hence, the number of short sleeves sold is 42

6 0
3 years ago
Johanna is planting tomatoes in the school garden this year. Tomato plants come in packs of six She needs 80 plants in the garde
vazorg [7]
452 because you will multiply 80 by 6 and get 480 and subtract 28 from that!
7 0
3 years ago
Joe is a repair technician for a computer company. Each week he has a batch of computers that needs fixed. The number of compute
mrs_skeptik [129]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
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