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geniusboy [140]
3 years ago
6

a teacher buys a 128-ounce bottle of juice and serves it in 5-ounce cups. What are the possible numbers of cups she can fill?

Mathematics
2 answers:
USPshnik [31]3 years ago
7 0

Answer:25


Step-by-step explanation:

128~ 125

125÷5= 25

25 full cups


ryzh [129]3 years ago
4 0

Answer:

25 or less cups.

Step-by-step explanation:

Let x represent the number of cups.

We have been given that a teacher buys a 128-ounce bottle of juice and serves it in 5-ounce cups.

The amount used to fill x cups would be 5x.  

The total amount used to fill x cups will be less than or equal to 128.

We can represent this information in an inequality as:

5x\leq 128

\frac{5x}{5}\leq \frac{128}{5}

x\leq 25.6

Since the nearest whole number to 25.6 is 25, therefore, teacher can fill 25 or less cups.

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6x - 4 = 16
Juli2301 [7.4K]

Hello!

Answer:

x=10/3

Step-by-step explanation:

First you want start by adding 4 to both sides

6x-4+4=16+4

6x=20

Then divide 6 to both sides,

6x/6=20/6

x= 10/3

Hope this helps! :)

4 0
3 years ago
Ann is 5 feet 3 inches tall. To find the height of a lamppost, she measured her shadow to be 8 feet 9 inches and the lamppost’s
Makovka662 [10]

Answer: The lamppost is 7 feet 2 inches

Step-by-step explanation: If Ann measured her own height and her shadow, then what she used is a ratio between both measurements. If she can measure the shadow of the lamppost, then she can use the same ratio of her height and it’s shadow to derive the correct measurement of the lamppost.

If Ann’s height was measured as 5 feet 3 inches, and her shadow was 8 feet 9 inches, the ratio between them can be expressed as 3:5.

Reduce both dimensions to the same unit, that is, inches. (Remember 12 inches = 1 foot)

Ratio = 63/105

Reduce to the least fraction

Ratio = 3/5

If the height of the lamppost is H, then

H/144 = 3/5

H = (144 x3)/5

H = 86.4

Therefore the lamppost is approximately 86 inches, that is 7 feet and 2 inches tall.

5 0
3 years ago
Find the polynomial of lowest degree with only real coefficients and having the given zeros. -7i and square root of 2
mario62 [17]

Answer:

x³ - (√2)x² + 49x - 49√2

Step-by-step explanation:

If one root is -7i, another root must be 7i.  You can't just have one root with i.  The other roos is √2, so there are 3 roots.  

x = -7i       is one root,

   (x + 7i) = 0    is the factor

x = 7i       is one root

  (x - 7i) = 0     is the factor

x = √2      is one root

    (x - √2) = 0   is the factor

So the factors are...

(x + 7i)(x - 7i)(x - √2) = 0

Multiply these out to find the polynomial...

(x + 7i)(x - 7i) =  x² + 7i - 7i - 49i²

Which simplifies to

  x² - 49i²        since i² = -1 , we have

    x² - 49(-1)  

 

      x² + 49

Now we have...

(x² + 49)(x - √2) = 0

Now foil this out...

 x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0

     x³ + (√2)x² + 49x - 49√2

7 0
3 years ago
ANSWER FAST PLEASE <br> what is the degree of the polynomial
STatiana [176]

Answer:

The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).

Step-by-step explanation:

ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.

3 0
2 years ago
Davis used a drawing and a scale factor of 4 to design
mote1985 [20]

Answer:

on my quzlet page last year it is 25

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
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