Ask question

Ask question

All categories

3 years ago

15

Daniel can by a particular brand of juice in a 6 ounce bottle or a 10 ounce bottle the juice in a 10 ounce bottle contains 150 c

al calories how many calories are in a 6 ounce bottle

1 answer:

olasank [31]3 years ago

7 0

Answer: There are 90 calories in a 6-ounce bottle.

Step-by-step explanation:

We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.

Given: 10 ounces of juice has 150 calories.

i.e. 1 ounce of juice has $\dfrac{150}{10}$ calories.

i.e. 1 ounce of juice has 15 calories.

Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories

Hence, there are 90 calories in a 6-ounce bottle.

You might be interested in

Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

Department started out with 100 pencils and 200 pens during the lat quarter of this year they lost 4% of the pens and 2% of the

o-na [289]

Answer:

The remaining number of the pencil = 98

The remaining number of the pens = 192

Step-by-step explanation:

Here, according to the question:

The number of pencils at the starting at the quarter = 100

The percentage of the lost pencil over the year = 2%

Now, calculating the lost pencil, we get:

2% of 100 = $\frac{2}{100} \times 100 = 2$

⇒The number of lost pencil over the year = 2

So,Number of remaining Pencil = Total pencil - Number of pencil lost

= 100 - 2 = 98

The number of pens at the starting at the quarter = 200

The percentage of the lost pens over the year = 4%

Now, calculating the lost pens, we get:

4% of 200 = $\frac{4}{100} \times 200 = 8$

⇒The number of lost pens over the year = 8

So,Number of remaining Pens = Total pens - Number of pens lost

= 200 - 8 = 192

Hence, the remaining number of the pencil = 98

And and the remaining number of the pens at the end of the year = 192

6 0

3 years ago

Which equation represents direct variation, if k represents the constant of variation? A) y = kx B) yx = k C) y = kx2 D) y = kxz

Leto [7]

Y = kx

the question ask for "direct vation"...the formula must always to be y at the left side and k at the right side

5 0

3 years ago

Read 2 more answers

How do you solve for x <br><br>the similarity statement is abc~ xyz

tensa zangetsu [6.8K]

Answer:

m<X= 36.87 degrees

Step-by-step explanation:

Since the triangle abc and xyz are similar, hence;

m<C = m<Y

90 = x - 5

Add 5 to both sides

90+5 = x-5+5

95 = x

Swap

x = 95

m<Y = x - 5

m<Y = 95 - 5

m<Y = 90

Find m<X

Using the SOH CAH TOA

Opposite to m<X = YZ = 6

Adjacent = 8

Tan M<X = opp/adj

Tan m<X = 6/8

m<X = arctan(6/8)

m<X= 36.87 degrees

8 0

3 years ago

If 30% of a number, p, is 240, what is 72% of p? giving brainliest

Mnenie [13.5K]

Answer:

576

Step-by-step explanation:

30/ 100 x p = 240

p = 240 x 100/30 = 800

72/ 100 x p=

72/100 x 800 = 576

I hope im right!!

3 0

3 years ago

Read 2 more answers