Cecile packages snack mix at a health food store. She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply? 18 pounds 23 pounds

Answers

Answer 1

Given:

Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix and [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix.

Cecile uses 10 pounds of sunflower seeds.

To find:

The total pounds of seeds in her supply.

Solution:

Let x be the total pounds of seeds in her supply.

Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix, i.e., [tex]\dfrac{1}{3}x[/tex].

Cecile uses [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix, i.e., [tex]\dfrac{2}{9}x[/tex].

Total sunflower seeds used = 10 pounds.

[tex]\dfrac{1}{3}x+\dfrac{2}{9}x=10[/tex]

[tex]\dfrac{3x+2x}{9}=10[/tex]

[tex]5x=10\times 9[/tex]

[tex]5x=90[/tex]

Divide both sides by 5.

[tex]x=18[/tex]

So, there are 18 pounds of seeds in her supply.

Therefore, the correct option is A.


Related Questions

if x+2y =3 and 2x+y=3 then find x²+y²

Answers

Answer:

x² + y² = 2

Step-by-step explanation:

Given

x + 2y = 3 → (1)

2x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by subtracting 2x from both sides

y = 3 - 2x → (3)

Substitute y = 3 - 2x into (1)

x + 2(3 - 2x) = 3 ← distribute and simplify left side

x + 6 - 4x = 3

- 3x + 6 = 3 ( subtract 6 from both sides )

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into (3) and evaluate for y

y = 3 - 2(1) = 3 - 2 = 1

Thus

x² + y² = 1² + 1² = 1 + 1 = 2

Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.

Answers

Answer:

-1.6

Step-by-step explanation:

4 + 10x = -12

10x = -12 -4

x= -1.6

What is the solution to the open sentence?



4x – 4 = 2x + 2

Answers

Answer:

x =3

Step-by-step explanation:

4x – 4 = 2x + 2

Solving for x

Subtract 2x from each side

4x-2x – 4 = 2x-2x + 2

2x-4 = 2

Add 4 to each side

2x-4+4 = 2+4

2x = 6

Divide each side by 2

2x/2 = 6/2

x =3

To make x the subject:
Do the inverse of subtract 4 and and add it making it go to the then side.
Dived 4 to remove it from x and put the equation 2x+ 6 over 4 leaving the equation as:
x = 2x +6/4

pls solve this question step by step ​

Answers

Solution is in the above attachment.....

at the olympic games, many events have several rounds of competition. one of these events is the men's 100100100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 888 finishers in the semifinal round at the 201220122012 olympics. the lower dot plot shows the times of the same 888 swimmers in the final round.

Answers

The variance semifinal round data, s² ≈ 0.10411

The variance of the final round data, s² ≈ 0.26

Semifinal Round

∑(t × f(t)) = 426.5, ∑f(t) = 8

Average = mean = ∑ (t × f(t))/∑f(t)

Therefore;

In semifinal round average time = [tex]\frac{426.5}{8}[/tex]=53.3125

∑(t² × f(t)) = 22,738.51, ∑f(t) = 8  

sample variance = (∑x²·f(t) - ((∑×·f(t))²)/∑f(t))/ ∑f(t) -1

s²=0.10411

Final round

In final round average time =[tex]\frac{425.5}{8}[/tex]=53.1875

∑(t² × f(t)) = 22,633.07, ∑f(t) = 8

The variance of the final round data, s² ≈ 0.26

To know more about dot plot refer to https://brainly.com/question/16924807

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Answer:

C.None of the above

Step-by-step explanation:

Let's consider the first answer choice:

The times in the semifinals were faster on average than the times in the finals.

We don't have to calculate the mean values of each distribution because we can see visually that the center of the final round distribution is lower than the center of the semifinal round distribution.

Since lower times are faster, we can't say that the times in the semifinals were faster on average than the times in the finals.

Now, let's consider the second answer choice:

The times in the finals vary noticeably less than the times in the semifinals.

We can see visually that the final round distribution is more spread out than the semifinal round distribution. We could calculate MAD or IQR from these displays, but we can see that the range of the final round distribution is larger.

So we can't conclude that the times in the finals vary noticeably less than the times in the semifinals.

A theater is showing 2 comedies, 1 musical, and 5 action films. Each movie has 3 matinee showtimes and 7 evening performances. Each type of movie and showtime is equally likely to be chosen. If 12,400 people see a movie, how many will be expected to choose a musical during an evening showtime? A 1,085 C 1,240 B 1,189 D 1,550

Answers

Answer: 1550

Step-by-step explanation:

Number of people to see the movie = 12400

Number of comedies = 2

Number of musical = 1

Number of action films = 5

The number of people that'll be be expected to choose a musical during an evening showtime will be:

= 1/8 × 12400

= 1550

Which is an equation of a direct proportion?

A. =1/3−2
B. =3/
C. =−3+4
D. =−3

Answers

Answer:

D. y=-3x

Step-by-step explanation:

Direct Proportion

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

[tex]\displaystyle \frac{y}{x}=k[/tex]

Where k is the constant of proportionality.

Solving for y:

y=kx

The only choice representing a direct proportion is:

D. y=-3x

Answer:

D

Step-by-step explanation:

HELP IM SUFFERING I WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Question 1 below on day 1 city A

on day 3 city B

Question 3 city A has more crimes

for question 2 i need to know the options

sarah use 3/4 pound of b blueberries to make 1/2 cup of jam . how many pound of blueberries would she need to make a cup of jam

Answers

3/4 * 2 = 6/4
She needs 6/4 pounds for a cup

find the difference. a. 41-275 b. -15-47 c.-72-(-151) d. 612-(-144)

Answers

Answer:

a) 41-275= -234

b) -15-47=-62

c) -72-(-151)=79

d) 612-(-144)=756

10 POINTS Which equation has infinitely many solutions?

22x - 15 = -3(3 + 4x)
-12x - 15 = -3(3 + 4x)
-12x - 9 = -3(3 + 4x)
22x - 15 = -5(3 + 4x)

Answers

after distribution, the third option should give u infinite solutions
The answer is c. -12x-9=-3(3+4x)

quick question my friend needed this

Answers

The composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)

What is the result of a composition between two functions?

The composition is a binary operator between two functions, in which the input of the first function is substituted by the second function. This operation is defined by the following expression:

(f ° g) (x) = f[g(x)]  

If we know that f(x) = x and g(x) = 2, then the composition between the two functions is:

(f ° g) (x) = 2

Then, the composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)

To learn more on composition between functions: https://brainly.com/question/20379727

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What is −2y + 10 + 2y − 8 simplified?

Please help-

Answers

Answer:

2

Step-by-step explanation:

hope this helps, pls mark brainliest :D

Answer:

2 is the answer ☺️ the correct one

Which of the following does NOT describe a parent function of a family of functions?
A. The parent function is the function with a graph that is different than all the other functions in the family.
B. The graphs of the functions in the family all have the same general shape as the parent function
C. The parent function is the simplest function that still satisfies the criteria to be in the family of functions
D. All of the functions in the family can be derived algebraically from the parent function by adding or subtracting terms or by multiplying by a constant

Answers

Answer:

A. The parent function is the function with a graph that is different than all the other functions in the family.

Step-by-step explanation:

A parent function is simply a function that represents the simplest form of a family of functions.

Now, a family of functions is defined as a group of functions that share the same highest degree and therefore the same shape for their graphs.

Looking at the options, the only one that doesn't correspond to the definition of parent function with respect to family of functions is option A because it suggests that the parent function is different from the family functions. Thus, option A doesn't describe a parent function.

is this correct? please help !!!!!

Answers

From what I can see it looks fine and correct

Yes this is correct :)

Hi! Can someone help me with this please??

Answers

Answer:

the answer is 6

Step-by-step explanation:

quartiles of -5,-4,-3,-2,-1,0,1,2,3,5,7,7,7

Answers

Step-by-step explanation:

, mark down the median, Q2, which in this case is the 10th value: 75. Q1 is the central point between the smallest score and the median. In this case, Q1 falls between the first and fifth score: 68. (Note that the median can also be included when calculating Q1 or

Which expression is equal to
3√20 x 4√32

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Lets simplify ~

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{20} \times 4 \sqrt{32} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 12 \sqrt{20 \times 32} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 12 \sqrt{2 {}^{2} \times 5 \times 2 {}^{4} \times 2 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 12 \sqrt{2 {}^{6} \times 10} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 12 \times {2}^{3} \sqrt{10} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 12 \times 8 \sqrt{10} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 96 \sqrt{10} [/tex]

(picture included) brainliest

Answers

answer: 2 1/2 (A)
if you look at the x and y numbers, options B-D are way too high for the chart.

Answer:

A.

Step-by-step explanation:

subtract two y points and the corresponding x points

so if you choose to subtract 20 and 15, you get 5

then you would subtract 4 and 2, you would get 2

put them in y/x fraction: 5/2

this simplifies to 2 1/2

Nos últimos anos, as queimadas no Pantanal vêm aumentando significativamente por diversos motivos, dos quais os mais comum são as causas humanas, que podem ser acidentais ou criminosas. Segundo o Instituto Nacional de Pesquisas Espaciais (Inpe), no período de janeiro a setembro de 2019, foram registrados 4660 focos de incêndio, em 2020, foram registrados 14.489 focos. Qual o percentual de aumento dos focos de incêndio em 2020 comparado aos focos registrados em 2019?

Answers

Answer:

211%

Step-by-step explanation:

Somos informados:

Segundo o Instituto Nacional de Pesquisas Espaciais (Inpe), de janeiro a setembro de 2019, foram registrados 4.660 focos de incêndio, em 2020 foram registrados 14.489 focos. Qual é a porcentagem de aumento de focos de incêndio em 2020 em comparação com os focos registrados em 2019?

A fórmula de aumento percentual é fornecida como

Aumentar / tamanho inicial × 100

Aumento = 14489 focos de incêndio - 4660 focos de incêndio

= 9829 focos de incêndio

Aumento percentual = 9829/4660 × 100

= 210.92274678 %

≈ 211%

25 POINTS!! Help will give the brainliest

Answers

Answer:

value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

[tex]a=b^2c^2d \:and\: d=\frac{1}{a}[/tex]

We need to find a in terms of b and c

We have: [tex]a=b^2c^2d[/tex]

Put value of d [tex]d=\frac{1}{a}[/tex]

[tex]a=b^2c^2(\frac{1}{a})\\a^2=b^2c^2\\Taking \:squareroot\:on\:both\:sides\\\sqrt{a^2}=\sqrt{b^2c^2}\\a=bc[/tex]

So, value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]

Option D is correct.

Helppppp


If 4 dogs are in a parking lot, and a bird dies in South America and a train in California is going 40 miles per hour but chef mesoi is cooking spaghetti, but he burns the bread what is the radius of the sun

Answers

Answer:

dolphin wing measuring 2.7 cm

Step-by-step explanation:

if you take the length of the cheese and multiply that by the area of the parking lot, you will notice a w in the equation and w is water in hieroglyphs so you go to the ocean and you see the wing

Answer:

this way the other person gets brainliest

Step-by-step explanation:

100 POINTS !!! how long would it take to spend a trillion dollars if i spent 10 million a day?

Answers

1 million days, or 2,739 years. Divided 1 trillion by 1 million.
1,000,000 days equals approx 2738 years

I'm looking for people with common interests.. who watches anime reads yaoi and writes fanfiction???
Dont answer if your not into these.

Answers

I watch anime and write fanfiction :). I have to pass my finals for math and english before I become ungrounded cause I have D's in those two subjects but other than that yeah hi :)

Answer:

I love similar things.

Step-by-step explanation:

Sometimes enjoy drawing anime and drawing period. I also really enjoy writing novels/fanfictions. Maybe not as much as I love reading them, though.

I hope this is what you're looking for! :D

Plz help
What is the y- intercept of f(x)=(1/4)^x

Answers

The answer is A (0,1).

To find the x intercept, set the x to equal 0 in the equation. When there is an exponent of 0, the base number will be 1. Therefore, the coordinates are (0,1)
(1/4)^0 = 1 so the intercept is (0, 1)

what’s something that multiplies everyday in real life.

Answers

babies. hehehehhehehehehehehe

Answer:

Humans

Step-by-step explanation:

we make BEBE

The phone you want to purchase is $200. You have a coupon for 20% off the purchase price, How much w
you pay for the phone after the discount?

Answers

Answer:

$40

Step-by-step explanation:

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

can someone please help me

Answers

Answer:

The slope is [tex]\frac{-1}{2}[/tex].

Step-by-step explanation:

PLEASE HELP FOR BRAINLIEST!!! Find the lengths of the dashed sides of the diagram below. Make sure your answers are fully simplified.

Answers

Answer:

BC = 4, CD = 6

Step-by-step explanation:

Simply apply the distance formula.

(4 - 0) + (4 - 4) = 4

|(6 - 4, 0 - 4)| = 2 + 4 = 6

We take the absolute value when one term is negative because distance always ignores negatives.

Shauna is making accessories for the soccer team. She uses 888.69 inches of fabric on headbands for 29 players and 4 coaches. She also uses 246.79 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Step-by-step explanation:

Headband-23.665 inches

wristband-8.51 inches

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