Monica and Lauren plan to buy some of their dry ingredients (particularly flour, sugar, and

baking soda) in prepackaged containers. Each container with the three dry ingredients weighs

22 pounds. The weight of the sugar in each container is 2 times the amount of baking soda.

Also, there are 14 pounds more flour than baking soda in each container.

The girls want to calculate the weight of baking soda in each container, but they claim that the

necessary equation is impossible because it has infinitely many solutions.

Identify an equation that proves the girls' claim is wrong and explain why that equation does not

have infinitely many solutions.

Answers

Answer 1

Answer:

Weight of baking soda in each container  = 2 pounds

Weight of sugar in each container = 4 pounds

Weight of flour in each container =  16 pounds

Step-by-step explanation:

As given,

Let the weight of baking soda in each container  = x pounds

Given that,

The weight of the sugar in each container is 2 times the amount of baking soda.

⇒ Weight of sugar in each container  = 2x

Also given,

There are 14 pounds more flour than baking soda in each container

⇒Weight of flour in each container = 14 + x

Now,

Given that each container with the three dry ingredients weighs  22 pounds.

⇒ x + 2x + 14 + x = 22

⇒4x + 14 = 22

⇒4x = 22 - 14

⇒4x = 8

⇒x = [tex]\frac{8}{4}[/tex] = 2

∴ we get

Weight of baking soda in each container , x = 2 pounds

⇒Weight of sugar in each container , 2x = 2(2) = 4 pounds

and Weight of flour in each container , 14+x = 14 + 2 = 16 pounds

As we have found the value of x is unique , so it can not be possible to have infinite solutions. So, the girl's claim is wrong.


Related Questions

simplify the expression
16-4[3+2÷(9-7)]

Answers

16-4[3+2÷(9-7)]

= 16-4[3+2÷2]

= 16-4(3+1)

= 16-4(4)

= 16-16

= 0
hope this helps! feel free to clarify

$40.80 dinner; 17% tip​

Answers

17% of 40.80 is 0.17 X 40.8 which equals 6.936
so the tip would be $6.94

the total would be 40.8 + 6.94 = $47.74

Answer: Down below. Also with whole dollars.

Step-by-step explanation:

Tip Total:$ 6.94

Total (Bill + Tip):$ 47.74

If you rounded up to whole dollars.

Tip Total:$ 7

Total (Bill + Tip):$ 48

Given the following functions, find (f•g)(x).
f(x) = 2x
g(x) = 3x - 2

Answers

Your answer is 6x^2-4x

For each value of x, determine whether it is a solution to 5x>/40.
8: yes or no
11: yes or no
4: yes or no
10: yes or no

Answers

Answer:

yes, yes, no, yes

Step-by-step explanation:

5×8=40

40 is equal to 40, so yes

5×11=55

55 is greater than 40, so yes

5×4=20

20 is not greater than or equal to 40, so no

5×10=50

50 is greater than 40, so yes

Which expression is equivalent to -3 – 6?​

Answers

Answer:

-6 - 3

Step-by-step explanation:

Just switch them around.

What’s a ratio?
(Best description)

Answers

Answer:

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Step-by-step explanation:

A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

i would love if someone would help me

quadratic equation by using square roots
-2(x+7)²=-98

Answers

I’m hoping this helps (but hopefully now you can give the brainliest to the person above)
I’m not very familiar with the square roots method but I believe you try and isolate the term that is squared.

Where do parabolas store their holiday decorations?

Answers

Answer:

where...................

Step-by-step explanation:

.........................

The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions?

Answers

Answer:

2100

Step-by-step explanation:

Destiny said that 0.6 divided by 2 equals 0.3 is she correct​

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Find the slope of a line that passes through the points (-1,-5) , (3,-3)

Answers

Answer:

2/4 or up 2 over 4

Step-by-step explanation:

Put the points on a graph

start at the (-1,-5) and count up two

then go over 4 to the point (3,-3)

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (3, - 3)

m = [tex]\frac{-3-(-5)}{3-(-1)}[/tex] = [tex]\frac{-3+5}{3+1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Can someone do this for me

Answers

Answer:

en realidad el ganador sería el número 30 en la tabla

As figure has an area of 64 squared units which describes the area of the figure after a dialation with a scale factor of 3 over 2

Answers

Answer:

112

Step-by-step explanation:

Jose has scored 607 points on his math tests so far this semester. To get an A for the semester, he must score at least 619 points.


Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests.


The inequality is + n .

Answers

Hi there!

607+n=619

619-607=n

n=12

what is 163,653÷200 ?​

Answers

Answer:

818.265

Step-by-step explanation:

if an object is moving at -1.7 m/s for 20 seconds what is its displacement?

Answers

Answer:

0.085 m

Step-by-step explanation:

change in displ. = change in velocity ÷ change in time

so,

x = v ÷ t

= -1.7 m/s ÷ 20s

=0.085 m

Answer:

0.085 m

......:.:.:.:.

how is everyone's day going? Mine is okay can u help me on this question?

Solve the following system of equations. 8x +y = 23= −10x - y = −27
x=
y=

Answers

Answer:

x = 2 and y = 7

Step-by-step explanation:

We are given two equations:

1.      8x + y = 23

2. −10x  - y = −27

By adding both equations with each other we get:

(1.+2.) -2x = -4

Which can be reduced to:

(1.+2. : (-2)) x = 2

We can insert x in Equation 1. (or 2) and get:

8*2 + y = 23

16 + y = 23         [-16 on both sides]

y = 7

Resulting in x = 2 and y = 7 as a possible solution for this system.

Answer:

Step-by-step explanation:

8x + y = 23

-10x - y = -27

-2x = -4

x = 2

8(2) + y = 23

16 + y = 23

y = 7

(2, 7)

Gavin ran 5 3/4 miles yesterday. He ran 4 1/6 miles today. How many more miles did gavin run yesterday?​

Answers

Answer:

1 and 7/12 or 1.583

Step-by-step explanation:

3- EL MÉDICO LES DIJO QUE ES IMPORTANTE CONSUMIR 8 VASOS DE AGUA DE 250 ML DIARIAMENTE.
Calcula cuantos litros de agua debe consumir una familia de 5 integrantes en una semana.
Operaciones:​

Answers

Step-by-step explanation:

Si en cuatro vasos es un litro y cada integrante de la familia consume 2 litro diarios, la operacion seria 5 × 2 = 10 Por que son cinco integrantes de la familia y cada uno consume dos diarios entonces consumen 10 litro diarios

ESPERO Y TE AYUDE ;)

please help and show work​

Answers

Answer:

50 : 3

Step-by-step explanation:

Step 1: Start with the basic ratio

Adult Panda : Baby Panda

200 : 12

Step 2: Simplify

200 : 12

100 : 6

50 : 3

Step 3: Therefore Statement

Therefore the ratio of an adult panda to a baby panda's wieight is 50 : 3

What is the interquartile range of the fun lowing data? 332, 401, 424, 458, 443, 357 , 380

Answers

Answer:

Interquartile Range

The interquartile range of an observation variable is the difference of its upper and lower quartiles. It is a measure of how far apart the middle portion of data spreads in value.

Interquartile Range = U pper Quartile − Lower Quartile

Problem

Find the interquartile range of eruption duration in the data set faithful.

Solution

We apply the IQR function to compute the interquartile range of eruptions.

> duration = faithful$eruptions     # the eruption durations

> IQR(duration)                     # apply the IQR function

[1] 2.2915

Answer

The interquartile range of eruption duration is 2.2915 minutes.

Exercise

Find the interquartile range of eruption waiting periods in faithful.

Step-by-step explanation:

need answer asap! Which set of points would result in a slope of 1/4?

(2, 8) and (1, 4)
(8, 2) and (4, 1)
(8, 2) and (1, 4)
(2, 8) and (4, 1)

Answers

Answer:

the second pair

Step-by-step explanation:

what's the mean median and mode of 8,2,3,5,7​

Answers

Answer:

mean:25     median:3        there is no mode

Step-by-step explanation:

please help asap. im confused

Answers

Answer:

Line A

Step-by-step explanation:

Because he starts at 20 so the line starts at 20 and then adding 5 each week, its slope is the exactly line A

Divide 152 tens by 33. Then multiply and subtract

Answers

Answer:

152 x 10 =1520

1520/32 = 46.06

1520 x 33 = 50,160

1520-33 = 1487

Which expression is equivalent to 24 x 6 y 2 3 x 2 y 3 ?

Answers

Answer:

47x 8y 3

Step-by-step explanation:

Which of the following ordered pairs could be the y-intercept of a function?
A (1,2)
B (5,0)
C (0,0)
D (-3,2)

Answers

Answer:

Step-by-step explanation:

The y intercept only occurs when x=0 so (0,0) is the only y intercept of those choices.

Meg and Rosa played a game. The game lasted 35 minutes and ended at 10:20 a.m.


What time did the girls begin playing the game?

Answers

Answer:

9:45 am

Step-by-step explanation:

Hope this helps!

Answer:

10:15

Step-by-step explanation:

The following equation was correctly simplified:
(2x3 - 3x2 + 5x - 1)+ (3x3 - 3x2 - 2x + 4) = 5x3 + 6x2 + 3x + 3
why is it false?

Answers

Answer:

Step-by-step explanation:

it is -6x2 not plus

if my answer helps please mark as brainliest.

Jack invests £3000 for 2 years at 4% per annum compound interest.
Work out the value of the investment at the end of 2 years.

Answers

3000: 10% = 300 and x it by 2 for the 2 years so it’s 600
Answer:

£3244.80

Step-by-step explanation:

£3000 + 4% = £3120

£3120 + 4%  = £3244.80

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