A 15- ounce box contains 0.425 kg of cereal. how many grams of cereal are in the box​

Answer:

y = 2x

Step-by-step explanation:

Note the relationship between x and y, that is

x = - 42 → y = - 84 ← that is y = 2x

x = - 14 → y = - 28 ← that is y = 2x

x = 14 → y = 28 ← that is y = 2x

x = 42 → y = 84 ← that is y = 2x

Thus the linear equation is y = 2x

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

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

From the table we have the points (14, 28) and (42, 84).

Substitute:

[tex]m=\dfrac{84-28}{42-14}=\dfrac{56}{28}=2[/tex]

Put the val;ue of a slope and the coordinates of the point (14, 28) to the equation of a line:

[tex]28=2(14)+b[/tex]

[tex]28=28+b[/tex]    subtract 28 from both sides

[tex]28-28=28-28+b\\\\0=b\to b=0[/tex]

Finally we have:

[tex]y=2x+0=2x[/tex]

Answer:

equation of the line = y=12x+45 i cant rlly graph it for you

Step-by-step explanation:

y-3 = 12 (x+4)

y-3 = 12x + 48

-3               -3

y=12x + 45

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

so, f(x)=y and g(x)=y.

( where m is the slope and c is the y-intercept )

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

Answer:

During January it decreased by $3,530.

Step-by-step explanation:

Given data:

Value of stocks in January 1st = $8,474

Value of stocks on March 1st = $3,323

Decrease value during February = $1,621

To find the decrease value during January.

Solution:

Let the decrease value in dollars during January be = [tex]x[/tex]

So, value of stocks in dollars on 1st February will be = [tex]8474-x[/tex]

So, value of stocks in dollars on 1st March will be = [tex]8474-x-1621[/tex]

So, we have

[tex]8474-x-1621=3323[/tex]

[tex]6853-x=3323[/tex]

Subtracting both sides by 6853.

[tex]6853-x-6853=3323-6853[/tex]

[tex]-x=-3530[/tex]

Multiplying both sides by -1.

∴ [tex]x=3530[/tex]

Thus, during January it decreased by $3,530.

Answer:

1. [tex]\dfrac{44}{13}=3\dfrac{5}{13}[/tex]

2. 9.6

3. 0

Step-by-step explanation:

Thales’ Theorem: If arms of an angle are cut by parallel straight lines, then the ratio of the lengths of the line segments obtained on one arm are equal to the corresponding segments obtained on the second arm.

1. By Thales's theorem,

[tex]\dfrac{9}{4}=\dfrac{11-x}{x}\\ \\9x=4(11-x)\ [\text{Cross multiply}]\\ \\9x=44-4x\\ \\9x+4x=44\\ \\13x=44\\ \\x=\dfrac{44}{13}[/tex]

2. By Thales's theorem,

[tex]\dfrac{8}{12}=\dfrac{x}{24-x}\\ \\12x=8(24-x)\ [\text{Cross multiply}]\\ \\12x=192-8x\\ \\12x+8x=192\\ \\20x=192\\ \\x=9.6[/tex]

3. By Thales's theorem,

[tex]\dfrac{4x}{5x}=\dfrac{4x-8}{6x-10}\\ \\\dfrac{4}{5}=\dfrac{4x-8}{6x-10}\\ \\5(4x-8)=4(6x-10)\ [\text{Cross multiply}]\\ \\20x-40=24x-40\\ \\20x=24x\\ \\4x=0\\ \\x=0[/tex]

Answer:

They could make 14 full stacks

Step-by-step explanation:

All you need to is divided the 269 by the 18 cartons and it will equal 14.944444444

so that means only 14 full stacks and you can't round because that would not make sense

D. Reflexive Property of SSS

Answer:

D

3. Reflexive Property of (Congruence) ≅

4. SSS (Side to Side to Side Congruence rule)

Step-by-step explanation:

3. Any geometric figure compared to itself is congruent to itself so this is why:

[tex]\overline{AC}\cong \overline{CA}\\\angle B\cong \angle B\\(...)[/tex]

4. Since we have a parallelogram, therefore we can say:

[tex]\overline{BC}\cong \overline{DA}\\\\\overline{BA}\cong \overline{DC}\\\\\overline{CA}\cong \overline{AC}\\[/tex]

Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.

So, It's D.

P.S.

Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.

Answer:

478 R 4

Step-by-step explanation:

Answer:

This for a science class I am guessing

Step-by-step explanation:

8 A -3×6

9 C 12×5 - 3×6

10 A 15× 120 min

11 D 5×-50

12 A add profit subtract expenses from profit total

13 B 118- 34 then divide by 2

14 A add the two costs

Answer:

The value of given expression for x = - 10  is - 81

Step-by-step explanation:

Given expression as :

3 [tex]\frac{4}{5}[/tex]x - 2 [tex]\frac{1}{2}[/tex]

Or, 3 +  [tex]\frac{4}{5}[/tex]x  - 2 -  [tex]\frac{1}{2}[/tex]

Or,  [tex]\frac{19}{5}[/tex]x -  [tex]\frac{5}{2}[/tex]

or,  [tex]\frac{38 x - 25}{5}[/tex]

Now for  x = - 10

[tex]\frac{38\times (- 10)  - 25}{5}[/tex]

Or, [tex]{38\times (- 2)  - 5}[/tex]

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10  is - 81  Answer

Answer:

24:5

Step-by-step explanation:

Answer:

In descending order the function are represented as [tex]D>F>A>B>E>C[/tex]

Step-by-step explanation:

Whether it is increasing or is the larger or smaller number it all depends on its slope.

Equation of line [tex]y=m(x)+c[/tex],and [tex]m[/tex] is the slope.

So we will work with the slopes of each equations and arrange them in descending order.[Greater to larger number sequence]

Slopes are [tex]\frac{4}{3}, \frac{5}{4}, \frac{-2}{1},\frac{7}{4}, \frac{6}{5}, \frac{8}{5}[/tex]

We will equate the denominator by taking LCD of it then multiply numerator and denominator with a fix number which can bring all the denominator same.

LCD of the denominator [tex](1,3,4,5)=60[/tex]

Example:

[tex]\frac{4}{3}=\frac{4\times 20}{3\times 20}= \frac{80}{60}[/tex]

Similarly we will equate all the fractions.

So the slope are [tex]\frac{80}{60}, \frac{75}{60}, \frac{-120}{60},\frac{105}{60}, \frac{72}{60}, \frac{96}{60}[/tex]

In descending order the numbers are:

[tex]\frac{105}{60},\frac{96}{60}, \frac{80}{60}, \frac{75}{60},\frac{72}{60},\frac{-120}{60}[/tex]

According to the option the right choice are as follows:

[tex]D>F>A>B>E>C[/tex]

To find increasing functions, examine the slope of each equation, which must be positive for the function to be increasing. Functions A, B, D, E, and F are increasing, with D having the largest unit rate. C is a decreasing function and is not classified with the others.

To determine which functions are increasing, we look at the coefficient of x in each equation since that represents the slope of the line. For a function to be increasing, its slope (unit rate) must be positive. Comparing the slopes will help us classify each function as having a larger unit rate or a smaller unit rate than the function represented in the graph. Without the specific function from the graph for comparison, we'll just compare the given functions to each other.

Based on the slopes, D has the largest unit rate, followed by F, A, B, and E, in that order. Function C is not increasing and thus not part of this classification.

Answer:

4/3t

Step-by-step explanation:

1/2t.........90m

x t.............4h->240m

x=(240m*1/2t)/90m

x=120/90

x=4/3t

The construction crew can clear 8/3 tons of dirt in 4 hours.

To find out how much dirt the construction crew can clear in 4 hours, we need to first determine their rate of clearing dirt. The question states that they can clear 1/2 ton of dirt in 90 minutes. To calculate their rate, we divide the amount of dirt cleared (1/2 ton) by the time taken (90 minutes):

Rate = 1/2 ton / 90 minutes

Simplify the rate:

Rate = 1/2 × 2/90 ton/minute = 1/180 ton/minute

Now, to find how much dirt they can clear in 4 hours, we multiply their rate by the number of minutes in 4 hours:

Dirt cleared = Rate × Time

Dirt cleared = 1/180 ton/mintue × 4 hours × 60 minutes/hour

Simplify the units:

Dirt cleared = 1/180 × 4 × 60 ton

Calculate the result:

Dirt cleared = 8/3 ton

Therefore, the construction crew can clear 8/3 tons of dirt in 4 hours.

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Answer:

3

d

=

−

36

Step-by-step explanation:

The sum of 5 consecutive odd integers is 145. These are the other 4 consecutive odd numbers. Now if we add all of these up we will get this : 25 + 27 + 29 + 31 + 33 = 145.

Hope I helped! ☺☼

The five consecutive odd numbers that sum up to 145 are 25, 27, 29, 31, and 33.

Let's call the middle of the five consecutive odd numbers n. Because these numbers are odd and consecutive, the two numbers before n will be n-2 and n-4, and the two after will be n+2 and n+4. The sum of these five numbers is:

n-4 + n-2 + n + n+2 + n+4 = 5n.

Since the sum of the five numbers is 145, we have:

5n = 145.

To find the value of n, we divide both sides by 5:

n = 145 / 5,

n = 29.

So the middle number is 29, and the five consecutive odd numbers are 25, 27, 29, 31, and 33.

The above question is incomplete, the complete question is:

The sum of 5 consecutive odd numbers is 145. find the numbers.

Considering the dimensions of the given rectangular prism and it's volume, the height of the chest is of 8 inches.

The volume of a rectangular prism of width w, length l and height h is given by the multiplication of these dimensions, as follows:

V = lwh

For this problem, the dimensions are given as follows:

w = 16, l = 4h, V = 4096.

Hence the height of the chest can be found as follows:

lwh = 4096

16 x 4h x h = 4096

h² = 4096/64

h² = 64

h = 8.

Hence, the height of the chest is of 8 inches.

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Answer:

28 n 2 + 64 n + 16

Step-by-step explanation:

-82.5, -41 4/5, -13 1/8, -4.3

Final answer:

To arrange the numbers from least to greatest, you order them based on their value on the number line, with larger negative values representing smaller quantities. The numbers from least to greatest are -82.5, -41 4/5, -13 1/8, and -4.3.

Explanation:

To arrange the numbers -4.3, -82.5, -41 4/5 (which is -41.8), and -13 1/8 (which is -13.125) from least to greatest, we must compare their values on the number line. Larger negative numbers are those with the greater absolute value or those that are farther from zero in the negative direction.

Focusing on the given numbers:

-82.5 is the largest negative number, so it is the least.

-41 4/5 (or -41.8) is next, being less negative than -82.5.

-13 1/8 (or -13.125) is less negative than both -82.5 and -41.8.

-4.3 is the smallest negative number, so it is the greatest of the negatives.

Therefore, when ordered from least to greatest, the numbers are:

-82.5

-41 4/5

-13 1/8

-4.3

which of the following is written in correct scientific notation?

Box plots are useful for comparing the measure of variability in datasets. Specifically, they compare the interquartile range (IQR), which is the range covering the middle 50% of a dataset. This is represented by the box in the plot, and additional info like median and potential outliers are also shown.

In the field of statistics, box plots, also known as box and whisker plots, are useful for comparing the measure of variability in a data set. The specific measure of variability that can be compared using the box plots is called the interquartile range (IQR).

The IQR is the range within which the middle 50% of a dataset falls. It is calculated by subtracting the lower quartile (25th percentile) from the upper quartile (75th percentile). These quartiles are represented on a box plot by the edges of the box, which makes it easier to visually compare the variability of different datasets.Box plots also present additional information like median and potential outliers in the data.

Learn more about Box Plots here:

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Answer:

y=3 is the answer to this

Answer:

-3

Step-by-step explanation:

Answer:

x = - 3

Step-by-step explanation:

x = 8 is the equation of a vertical line parallel to the y- axis.

Thus a line parallel to it will also be vertical with equation

y = c

Where c is the value of the x- coordinates the line passes through

The line passes through (- 3, - 2) with x- coordinate - 3, thus

x = - 3 ← equation of parallel line

There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).

To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).

However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).

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Answer:

D

Step-by-step explanation:

When we differentiate the function, we get -32x + 32, which is the velocity function of the original.

When we differentiate again, we get -32, which is derived from the initial -16. This -32 represents the acceleration, because it is the 2nd derivative.

Hence, the answer is D, acceleration due to gravity.

Answer:

11x-4

Step-by-step explanation:

2x^2+7x-4

2x^2= 2x2 =4 x

4x+7x=11x-4

Answer:

The value of y for x = 8 is 60  .

Step-by-step explanation:

Given expression as :

For x = 2  , y = 15

Let the equation be written with constant k'

So, y = k x

Or, k = [tex]\dfrac{y}{x}[/tex]

∴   k =  [tex]\dfrac{15}{2}[/tex]

Now, again

For x = 8

equation can be written as

   y = k x

Or,  y =  [tex]\dfrac{15}{2}[/tex] × 8

Or,  y = [tex]\frac{15\times 8}{2}[/tex]

∴    y = 15 × 4

I.e  y = 60

Hence The value of y for x = 8 is 60  . Answer

Answer:

OPTION A

Step-by-step explanation:

[tex]$ 9r + 2 = \frac{7(r - 5)}{3} $[/tex]

[tex]$ \implies 9r + 2 = \frac{7r - 35}{3} $[/tex]

Multiplying throughout by [tex]$ r $[/tex]we get:

[tex]$ 27r + 6 = 7r - 35 $[/tex]

[tex]$ \implies 20r = -41 $[/tex]

[tex]$ \therefore r = \frac{-41}{20} $[/tex]

OPTION A is the answer.

Answer:

one and fifty six hundred thousandths

Answer:

one and fifty-six ten-thousandths

~ or, simpler ~

one point zero zero five six

Step-by-step explanation: hope this helps :)

Answer:

$650

Step-by-step explanation:

9100-4500     = 4550

    14-7                  7

= 650

     1

=$650

Answer:

x ≤ 2

Explanation:

As with equations, there may be instances in which there is no solution to an inequality. Isolate the absolute value by subtracting 9 from both sides of the inequality. The absolute value of a quantity can never be a negative number, so there is no solution to the inequality.