A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?

Answer:

B. you need atleast one variable for an algebraic expression.

an equals sign would make it an algebraic equation,

just a coefficient and a variable is the most basic algebraic expression. you don't need anything other than those for an expression. you can have more than one number, and more than one operation, but they don't have to be there.

Step-by-step explanation:

i hope this helps :))

Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Area of rectangle = length × width.

Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Thus:

Length of rectangle = distance between (0, 0) and (5, 5)

[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]

Width of rectangle = distance between (5, 5) and (6, 2)

[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]

Area of rectangle = √50 × √10

= √500

Area = 10√5

Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Learn more about area of rectangle on:

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Answer:

Step-by-step explanation:

x^2-(2+2)x+4=0

or, x^2-2x-2x+4=0

or, x(x-2)-2(x-2)=0

or, (x-2)(x-2)=0

Now,

Either, x-2=0

=2

Or, x-2=0

=2

Answer:

9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!

Step-by-step explanation:

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

Answer:

point form: (-2,7)

equation form: X = -2, Y = 7

Answer:

y = -x - 4 and/or x + y = -4

Step-by-step explanation:

(x,y) is helpful

The value of z = 0.2

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

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Answer:

I'm pretty sure it's 144

Step-by-step explanation:

1.           160 divided by 5 is 32 so 1 quart = 32 pounds

2.          32 times 4.5 = 144

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Answer:

13.50200 or 13

Step-by-step explanation:

you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct

First, lets put this into slope intercept form

3x + 2y = -6

2y = -3x - 6

y = -3/2x - 3

The y intercept is (0, -3)

To find the x intercept we set the new equation to zero and solve

0 = -3/2x - 3

+3             +3

(2)3 = -3/2x(2)

6 = -3x

6/-3 = -3x/-3

-2 = x

The x intercept is (-2,0)

Therefore, your intercepts are:

y-int. = (0,-3)

x-int. = (-2,0)

Hope this helps! =D

Answer: the first answer choice

Step-by-step explanation:

Answer:

i think its the bottom one but i dont know

Step-by-step explanation:

Answer:

8/15 kg of food daily

Step-by-step explanation:

Bo feeds his dog twice a day. In the morning, he feeds the dog 1/3 kg of dog food. In the evening, he feeds the dog 2/10 kg of food.

The total kilograms of food that Bo feed his dog is calculated as:

Number of kilograms fed in the morning + Number of kilograms fed in evening

= 1/3 kg + 2/10kg

The Lowest Common Denominator = 30

= 10 + 6/30

= 16/30

= 8/15 kg

Therefore, Bo feeds his dog 8/15kg of food daily.

Answer:

Both fractions are less than 1/2

​ 1/2 kg

Step-by-step explanation:

Answer:

the best possiable prediction is 2/6

Step-by-step explanation:

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

Complete question :

You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute."Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling?

Answer:

cell phone card won't be enough.

Step-by-step explanation:

Cell phone card value = $75

United kingdom = 23cent per minute

France = 21 cent per minute

United Kingdom minutes = 250

France minutes = 100

Total cost :

23 cent = $0.23

21 cent = $0.21

Total :

United Kingdom = 0.23 * 250 = $57.5

France = 0.21 * 100 = $21

$21 + $57.5 = $78.5

$78.5 > $75

Then, it can be concluded that the cell phone card won't be enough.

Answer:

The answer is t=4 s

Step-by-step explanation:

Answer: T=4s

Step-by-step explanation: it is option 2

Answer:

Surface area of box = 94cm²

Step-by-step explanation:

Given that:

Width of box = 3 cm

Length of box = 5 cm

Height of box = 4 cm

Surface Area = 2lw + 2lh + 2hw

Surface area = 2( lw + lh + hw )

Surface area = 2(5*3 + 5*4 + 4*3) = 2(15+20+12)

Surface area = 2(47) = 94 cm²

Hence,

Surface area of box = 94cm²

Answer: $2.11

Step-by-step explanation:

A customer brings a bag of chips with a regular price of $2.19 to the register which is marked down 10% the price to pay will be:

= $2.19 - (10% × $2.19)

= $2.19 - $0.219

= $1.971

After a 7% sales tax on the final price, the amount paid by the customer will be:

= $1.971 + (7% × $1.971)

= $1.971 + $0.13797

= $2.11

Answer:

point form: (-34/3, -19)

equation form: X= - 34/3, Y = -19

Answer:

73°

Step-by-step explanation:

Angles on a straight line add up to 180°

angle ABC= 180-146= 34°

Angles in a traingle add up to 180°

180-34= 146°

y= 146÷2= 73°

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Answer:

Option D (73°)

Step-by-step explanation:

According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.

So, according to the question -

[tex]y + y = 146[/tex]

[tex] = > 2y = 146[/tex]

[tex] = > y = \frac{146}{2} = 73[/tex]

Answer:

63

Step-by-step explanation:

Answer:

the answer is 1 and 1 fourth

Answer:

A.

Step-by-step explanation:

no slope, the line is just y = 4

Answer:

Where is the graph?

Step-by-step explanation: How does anyone answer without a graph lol