Using the mileage chart below, find the distance between Sturgis and Hot
Springs.

Answer:

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Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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The volume of the cardboard box is approximately 13197.402 cubic inches.

The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.

1 dm (cubic decimeter) is equivalent to 1 liter.

To convert dm³ to cubic inches, we can use the following conversion factors:

1 dm³ = 61.0237 cubic inches

Using this conversion factor, we can calculate the volume of the box in cubic inches:

The cube carton volume is 216 dm3 and the cube edge value is 6 dm.

The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.

To find the edge (side) value, you can solve for the volume formula as follows:

edge 3 = volume.

edge = ∛ volume,

Where ∛ is the cube root.

Applying this formula to the given problem gives edge = ∛(216 dm³).

Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.

Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³

= 13197.402 cubic inches

Question :- If the volume of a cubic cardboard box is 216 dm³

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The value of the ratio based on the angle illustrated is 1:12.

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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Answer:

i think 2

Step-by-step explanation:

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

h(3) = 18

Step-by-step explanation:

Step 1: Define

h(t) = -3t + 6 + 7t

h(3) is x = 3

Step 2: Simplify

h(t) = 4t + 6

Step 3: Substitute and Evaluate

h(3) = 4(3) + 6

h(3) = 12 + 6

h(3) = 18

Answer:

lol it so easy man 3(y+4) is the answer

Answer:

\( y = \frac{3}{2}x \)

Step-by-step explanation:

The graph shows there is a proportional relationship between amount of grams of fish (x) and number of calories (y).

A original relationship can be represented by An equation as \( y = kx \), where, k = constant of proportionality (y/x).

The constant of proportionality using any point, let's say (200, 300), would be:

k = y/x = 300/200 = ³/2

Plug in the value of k into \( y = kx \).

Thus, the equation that reflects the relationship would be:

\( y = \frac{3}{2}x \)

The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x) and this can be determined by using the point-slope form of a line.

Given :

The point-slope form can be used to determine the equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.

The point-slope form is given by the equation:

\(\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\)     ----- (1)

where \((x_1,y_1)\) and \((x_2,y_2)\) are the points on the line.

Now, put the values of \((x_1,y_1)\) and \((x_2,y_2)\) in the equation (1).

\(\dfrac{y-150}{x-100}=\dfrac{300-150}{200-100}\)

\(2(y-150)=3(x-100)\)

2y - 300 = 3x - 300

2y - 3x = 0

2y = 3x

The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x).

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Answer:

Student 2 is correct because 6 cubed minus 150 is equal to 66

Step-by-step explanation:

\(x^3-150=66\)

\(\implies x^3=66+150=216\)

\(\implies x=\sqrt[3]{216} =6\)

Answer:

328'

Step-by-step explanation:

Answer:

328.06779661

Step-by-step explanation:

19356 ÷ 59 = 328.06779661

Answer:

9 - 3 ÷ 1/3 + 1 = 1 ( Answer )

Step-by-step explanation:

hope u liked the answer :)

Answer:

3

Step-by-step explanation:

right ya rong you tell me ok

The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.

To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).

1 milligram = 1, 000 micrograms ( μg )

25. 0 μg in milligrams is therefore:

= 25 / 1, 000

= 0. 025 mg

This means that the number of tablet to take is:

= Mg requirement / Mg of tablet

= 0. 025 / 0. 025

= 1 tablet

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Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

Answer:

C. 2+7i

Step-by-step explanation:

(4 - 3i) + (-2 + 10i)

Combine like terms

4-2   -3i +10i

2    +7i

Answer: The answer is C, 2 + 7i

Step-by-step explanation:

Step-by-step explanation:

9514 1404 393

Answer:

  A congruent

Step-by-step explanation:

In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.

Answer:

$37623.04

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

\(I=p*r*t\)

Where:

P is the principal amount, $1088.00.

r is the interest rate, 839.5% per year, or in decimal form, 839.5/100=8.395.

t is the time involved, 4....year(s) time periods.

So, t is 4....year time periods.

To find the simple interest, we multiply 1088 × 8.395 × 4 to get that:

The interest is: $36535.04

Usually now, the interest is added onto the principal to figure some new amount after 4 year(s),

or 1088.00 + 36535.04 = 37623.04.

Answer:

25

Step-by-step explanation:

Since the x values are the same

the distaance is simply the difference in the y values

23 - (-2) = 25

Answer:

V = 75 π cm3

Step-by-step explanation:

Answer:

z> -2

Step-by-step explanation:

STEP 1) Any expression divided by itself equals 1

-3z-1<5

STEP 2) Move the constant to the right-hand side and change its sign

-3z<5+1

STEP 3) Add the numbers

5+1= 6

-3z<6

STEP 4) Divide both sides of the inequality by -3 and flip the inequality sign

z>-2

The equation of a line has the form:

where m is the slope and b is the y-intercept so:

6) The equation is:

slope: -0.5

y-intercept: 2.5

5) the equation is.

Slope: 2

y-intercept: -3

Answer:

\(\displaystyle y=2\sqrt{6}\)

\(\displaystyle x=2\sqrt{2}\)

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

\(\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}\)

\(\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}\)

Solving for y:

\(y=4\sqrt{2}\cos 30^\circ\)

Since:

\(\cos 30^\circ=\frac{\sqrt{3}}{2}\)

\(\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}\)

Simplifying:

\(\displaystyle y=2\sqrt{6}\)

Now we use the sine ratio:

\(\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}\)

\(\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}\)

Solving for x:

\(x=4\sqrt{2}\sin 30^\circ\)

Since:

\(\sin 30^\circ=\frac{1}{2}:\)

\(\displaystyle x=4\sqrt{2}\frac{1}{2}\)

Simplifying:

\(\displaystyle x=2\sqrt{2}\)

The choices are not clear, but it seems like the correct answer is C.

\(\boxed{\displaystyle y=2\sqrt{6}}\)

\(\boxed{\displaystyle x=2\sqrt{2}}\)

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Answer:

a:     0.43194

b:     0.09084

Step-by-step explanation:

First construct the z values for 498 and 506.

\(z=\frac{x-u}{s}\)

\(z(498)=\frac{498-500}{35}\)=-0.05714

z(506)=(506-500)/35=0.17143

Check the cumulative normal distribution tables to find

P(x<=-0.05714)=0.47722

P(x<=506)=0.52278

These probabilities imply that

P(x>506)=1-P(x<=506)=1-0.52278=0.43194

P(498<=x<=506)=P(x<=506)-P(x<=498)=0.09084

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

The y-intercept is 800

Step-by-step explanation:

Answer: I'm pretty sure the y intercept is $800 dollars, because that is the starting amount.

Step-by-step explanation:

y= 250x+800

the slope is 250 and the y- intercept is 800