Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?

Answers

Answer 1

Answer: He used 765 grams of blueberries.

Step-by-step explanation:

The quantity of blueberries is directly proportional to the quantity of smoothie.

Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]

[tex]y_2=54\text{ fluid ounces}[/tex]

To find : [tex]x_2[/tex]

[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]

[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]

Hence, he used 765 grams of blueberries.


Related Questions

The equations of four lines are given. Identify which lines are parallel. Line 1: y = -7x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/7)(x + 4) please help me ​

Answers

Answer:

Line 2 ║ Line 3

Step-by-step explanation:

y = mx + b

~~~~~~~~~~

Line 1: y = - 7x + 6

Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18

Line 3: y = - 3x - 8

Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]

[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex]  ⇒  Line 2 ║ Line 3

how many whole numbers lie between √ 8 and √ 80​

Answers

Answer:

There are 5 whole numbers.

Step-by-step explanation:

3,4,5,6,7

Answer:

6

Step-by-step explanation:

√ 8 < √ 9 = 3

and

√ 80​ < √ 81 = 9

Whole numbers between √8 and √80​ are:

3, 4, 5, 6, 7 and 8 - total 6 numbers

The product of a number and -5 is at least 35. Write as an inequality.

Answers

Product hints at multiplication so -5n is AT LEAST meaning that it is at or greater than 35....

-5n ≥ 35

Answer:

-5x≥35

Step-by-step explanation:

The word "product" means to multiply so I know that -5 times a number x is at least 35. The phrase "at least" means greater than or equal to so I know its a ≥ sign.

Hope this helps you

3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! 15 points! and marked brainliest

Answers

Answer:

Step-by-step explanation:

a. a=4

b. a=3

hope this helps

Mr. Ortiz took his friends out to dinner last night and their subtotal was $88.24.
If the sales tax is 5% and if he plans to leave a 20% tip after the tax is added, how much did Mr. Ortiz spend total on dinner?

Answers

Answer:

$111.18

Step-by-step explanation:

Dinner is $88.24

Tax is (.05)$88.24 = $4.41

20% after tax added (.20)92.65 = $18.53

total dinner cost is $111.18

Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of their goal. Avery says her team collected more money than Nolan's team. Both of the goals are $450. Is Avery correct?

Answers

Answer:

Yes , Avery is correct

Step-by-step explanation:

To check if Avery is correct, we need to know the exact value obtained in each of their goals

For Avery’s team;

3/5 * 450 = $270

For Nolan’s team

5/9 * 450 = $250

Since $270 is greater than $250, we can see that Avery’s team collected more money

Tomas is a commercial real estate agent who earns a yearly salary of $82,500 and a 2.5% commission on his total sales. If Tomas sold properties that totaled $3.75 million in sales during one year, what are Tomas’s earnings for that year?

Answers

Answer:

Step-by-step explanation:

tomas earning is $176,250

Nine times a number, diminished by 4, is 95

Answers

Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

2(h + 3.5) = -11 whats h?

Answers

Answer:   H=-9

Step-by-step explanation:

(2)(h)+(2)(3.5)=−11

=2h+7=−11

=2h+7−7=−11−7

=2h=−18

h=-18/2

h=-9

Answer:

-9 is the answer hope it helps :)

(3а-4)-4
how do you simplify?

Answers

Answer:

3a-8

Step-by-step explanation:

(3a-4) -4

= 3a-4-4

= 3a-8

3a-8 is the correct answer !!!!

Please please please help me I’m stupid Please thank you I would really appreciate it

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The
perimeter is 141, What is the length of the base?

Answers

Answer:

[tex]Base = 57[/tex]

Step-by-step explanation:

Given

[tex]Length = 2x + 4[/tex]

[tex]Base = 3x[/tex]

[tex]Perimeter = 141[/tex]

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

[tex]Perimeter = 2*Length + Base[/tex]

[tex]141 = 2 (2x + 4) + 3x[/tex]

[tex]141 = 4x + 8 + 3x[/tex]

Collect Like Terms

[tex]4x + 3x = 141 - 8[/tex]

[tex]7x = 133[/tex]

Divide both sides by 7

[tex]x = 19[/tex]

To get the base, we substitute 19 for x in [tex]Base = 3x[/tex]

[tex]Base = 3 * 19[/tex]

[tex]Base = 57[/tex]

please help me with question 1 please and thanks

Answers

Answer:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Step-by-step explanation:

The slope of a line is denoted by m and is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Calculating the slope one by one for each pair.

(1,1) and (7,5):

Let m1 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (7,5)

Putting values in formula

[tex]m_1 = \frac{5-1}{7-1}\\= \frac{4}{6}\\=\frac{2}{3}[/tex]

(1,1) and (5,7):

Let m2 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (5,7)

Putting values in formula

[tex]m_2 = \frac{7-1}{5-1}\\m_2=\frac{6}{4} = \frac{3}{2}[/tex]

(2,5) and (-1,2):

Let m3 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-1,2)

Putting values in formula

[tex]m_3 = \frac{2-5}{-1-2}\\m_3 = \frac{-3}{-3} = 1[/tex]

(2,5) and (-7,-4):

Let m4 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-7,-4)

Putting values in formula

[tex]m_4 = \frac{-4-5}{-7-2}\\m_4 = \frac{-9}{-9} = 1[/tex]

Hence,

The points and their respective slopes are as follows:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

The first time a census was taken in Michele Corners, the population was 1772. Each year after that, the population was about 9% higher than it was the previous year.

Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.

What are the coordinates of the point that contains the ­y-intercept?

A. ( 1772, 0)
B. ( 1, 1772)
C. ( 0, 1772)
D. ( 1772, 1)

Answers

Answer:

i'm 95% sure that it is D

Step-by-step explanation:

don't be mad if i'm wrong


can u help me with this asap

Answers

First simplify
5x + 3 > 4x + 7
x > 4
Shaded part should be greater than 4
It would be number line A

Answer:

the answer is the first one

Step-by-step explanation:

Guys plz help Answer this QUESTION!!!

Answers

Answer:

I beliEve it is D

Step-by-step explanation:

(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?

Answers

Answer:

9

Step-by-step explanation:

Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12

I’m pretty sure she will have 9 slices

Michael got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Michael wants to buy?

Answers

Answer:

$9.99 + $1.29n ≤ $50

Step-by-step explanation:

Given that:

Worth of gift card = $50

Cost of album purchased = $9.99

Cost per song to purchase = $1.29

Number of songs to purchase = n

Inequality to model the situation :

Cost of album + cost per song * (Number of songs) ≤ worth of gift card

$9.99 + ($1.29 * n) ≤ $50

$9.99 + $1.29n ≤ $50

plz helpppppppp

two right circular cones have the same radius as 7cm and the sum of their heights is 42cm . then find their total volume.​

Answers

Answer:

hope it helps..

Step-by-step explanation:

If this helps please comment on my answer...

Answer:

hope it's helps you have a great day keep smiling be happy stay safe

A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?

Answers

Answer:

30 degrees

Step-by-step explanation:

What is the value of 0

Answers

Answer:

The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).

Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil

Binary: 0

               2

Hexadecimal: 0

                          16

Step-by-step explanation:

Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!

Answers

Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]

By substituting the measures of the given sides,

[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

Please Help!!! 50 D).4x + 8y ≥ 50

Answers

Answer:

does anyone else miss their best friend ?? :C

Step-by-step explanation:

ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answer:

U okay?

Step-by-step explanation:

State the class width for the class interval 20-29?​

Answers

Answer:

9

Step-by-step explanation:

Class width = 29 - 20 = 9

hi can somebody answer this rlly quickly

Answers

Answer:

11

Step-by-step explanation:

72/9=8 so 99/9=11

There is a leak in the ceiling due to snow. John is planning to use a bowl
to catch the dripping water.
The number of bowls (y) filled during (x) hours can be represented by the
equation y = 2.5x

1. what is the constant proportionality

2. How long will it take to fill 8 bowls

3. how many bowls fill in 5 hours
HELP PLEASE ILL THANK AND GIVE BRAINLESS

Answers

Its 1 , i know that because the constant is neverending

Write the ratio 150:450 in the form 1:n

Answers

Answer:

1 : 3

Step-by-step explanation:

Given

150 : 450 ( divide both parts by 150 )

= 1 : 3

The ratio 150:450 in the form 1:n will be 1 : 3.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given ratio, 150:450

150/450 = 15/45 = 1/3 = 1:3

Hence "The ratio 150:450 in the form 1:n will be 1 : 3".

For more information about ratios and proportions,

brainly.com/question/26974513

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In a company, 70% of the workers are men. If 1,620 people work for the company who aren't men, how many workers are there in all? ​

Answers

        (っ◔◡◔)っ ♥ Hey Honey Here! ♥

Answer:

2106!

Step-by-step explanation:

1,620 - 70% = 486

486 + 1,620 = 2106

(  お力になれて、嬉しいです)

Answer:

5,400 total workers

Step-by-step explanation:

70% of workers are men, this means that 30% of workers aren't men

This means that 1,620 is 30% of the total workers

To figure out the total workers you do:

30 (percentage that represents the value)/100 = 1,620 (value) / x (total workers)

You then cross-multiply the equation by multiple the numbers diagonal each other:

30/100

=1,620/x

So, 30x = 162,000

You then isolate the variable

30x/30 = 162,000/30

x = 5,400

Which statement is correctly written as a conditional statement?

A) Any four-sided shape is a quadrilateral.
B) A shape has four sides when it is a quadrilateral.
C) If a shape has four sides, then it is a quadrilateral.
D) A shape has four sides, or it is a quadrilateral.

Answers

Answer:

C

Step-by-step explanation:

If a shape has four sides, then it is a quadrilateral.

If a shape has four sides, then it is a quadrilateral so option (C) will be correct.

What is quadrilatereal?

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.

a quadrilateral is a four-sided polygon, having four edges and four corners

A parallelogram is a basic quadrilateral with two sets of parallel sides.

The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.

A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.

For example, 4 sides are equal so the square is not due to the square all lines will same.

Hence If a shape has four sides, then it is a quadrilateral.

To learn more about quadrilateral,

https://brainly.com/question/13805601

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help me pleaseee!!!
the correct answer will get brainly!!

This for algebra 1

Answers

M= -2/3
B= 4

M is the slope
B is the y-intercept
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