A map is drawn to a scale of 28 miles per inch.

Answer:

100

Step-by-step explanation:

Answer:

x ≤ 3

Step-by-step explanation:

\(\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}\)

Subtract 1/2 from both sides:

\(\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}\)

\(\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}\)

Multiply both sides by 4:

\(\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4\)

\(\implies -x \geq -3\)

Divide both sides by -1 (remembering to flip the sign):

\(\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}\)

\(\implies x \leq 3\)

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

A, 2 5/8 cups

Step-by-step explanation:

Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.

Answer:

80 hours

Step-by-step explanation:

let d represent doug, let l represent laura

first, set up a system of equations representing the problem:

since doug spent 10 less than twice the hours laura did, and we know that the total amount of hours they spent together is 230:

l=2d+10

d+l=230

then solve:

*first i rearranged the equations so i can solve this system of equations using elimination method*

l-2d=10

l+d=230

*subtract*

3d=240

d=80

so, doug spent 80 hours in the lab

We may conclude after answering the presented question that where equation V(z) is the value of the car z years after 1964.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.

To model the value of the car, we can use the exponential growth formula:

\(V(t) = V0 * (1 + r)^t\\V(t) = ab^t\\a = V0 = $2000\\b = 1 + r = 1 + 0.113 = 1.113\\V(z) = 2000 * 1.113^z\\\)

where V(z) is the value of the car z years after 1964.

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Answer:

384 8x8=64 64x2=128 128x3=384

Step-by-step explanation:

Answer:

6 m

Step-by-step explanation:

LO has a side length of 6 m, because similar triangles

Answer:

6 m

Step-by-step explanation:

They have 3 equal angles, so that they are similar triangles (AAA).

∵ OK/OM = 10/5 = 2

∴ OL/ON = u/3 = 2

LK/NM = 2

u/3 = 2

u = 6

∴ LO = 6 m.

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

If a circle in the xy-plane has the equation above, the point does NOT lie on the exterior of the circle is (5,2) (option c).

Now, let's take a look at the given equation: (x - 2)² + (y + 5)² = 36. We can see that the center of the circle is (2, -5) and its radius is 6, since 6² = 36.

To determine which points do not lie on the exterior of the circle, we need to look for the points that are either inside the circle or on its circumference. In other words, we need to find the points that satisfy the given equation.

Let's plug in the coordinates of each point in the given answer choices into the equation of the circle and see which points satisfy it:

A) (2,1): (2 - 2)² + (1 + 5)² = 36, satisfies the equation.

B) (2,5): (2 - 2)² + (5 + 5)² = 100, satisfies the equation.

C) (5,2): (5 - 2)² + (2 + 5)² = 58, does not satisfy the equation.

D) (-1,1): (-1 - 2)² + (1 + 5)² = 36, satisfies the equation.

Therefore, the answer is C) 5,2, since it does not satisfy the equation of the circle and hence does not lie on the exterior of the circle.

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Complete Question:

If a circle in the xy-plane has the equation (x−2)²+(y+5)²=36, which of the following does NOT lie on the exterior of the circle?

A) 2,1

B) 2,5

C) 5,2

D) -1,1

Answer:

\(g( - 16) = - 3\)

Step-by-step explanation:

substitute

\(x = - 16 \: by \: g(x) = \frac{1}{4} x + 1 \\ g( - 16) = \frac{1}{4} x( - 16) + 1 \\ g( - 16) = - \frac{1}{4} x16 + 1 \\ g( - 16) = - 4 +1 \\ g( - 16) = - 3\)

Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

hello! :) have a good day!

N = 12

The Aswan High Dam is 111 m high. The water pressure at the foot of the dam is 1.09 × 10⁶ Pa.

Aswan Dam:

The Aswan Dam, or more precisely since the 1960s, the Aswan High Dam is one of the largest dams in the world, built between 1960 and 1970 on the Nile in Aswan, Egypt. Its importance has greatly exceeded that of the previous Aswan low dam. Downstream was initially completed in 1902. After the Egyptian Revolution of 1952, the construction of the High Dam became a major government objective, based on the success and maximum utilization of the Low Dam; considered crucial for the planned industrialization of Egypt. Like previous implementations, the High Dam had a major impact on Egypt's economy and culture.

According to the Question:

Given that:

h = 111 meter high.

P(g) = P - Pₐ

where a is density of water.

           g is the gravitational force.

The water pressure at the foot if the dam is:

P(g) = Pgh

which means that  1.09 × 10⁶ Pa .

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Answer:

The number of possible license plates will be;

8,714,977,920

Step-by-step explanation:

The number of digits is 1-9 making 9

The number of alphabets is A-Z making a total 26

Number of characters is 26 + 9 = 35

Now for the 1st character

we have 9 choices

Second character, we have 34 choices since no character appear more than once

Third character, we have 33 choices

fourth 32 choices

fifth 31 choices

sixth 30 choices

seventh 29 choices

Number of possible license plates will be;

9 * 34 * 33 * 32 * 31 * 30 * 29 = 8,714,977,920

Answer:

\((x - 6)^2 + (y - 2)^2 = 4\)

Step-by-step explanation:

Required

The equation of the circle

The equation of a circle is:

\((x - h)^2 + (y - k)^2 = r^2\)

Where:

\(Center = (h,k)\)

\(radius \to r\)

From the graph, we have

\((h,k) = (6,2)\)

\(r = 2\)

So:

\((x - h)^2 + (y - k)^2 = r^2\) becomes

\((x - 6)^2 + (y - 2)^2 = 2^2\)

\((x - 6)^2 + (y - 2)^2 = 4\)

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

5:4

Step-by-step explanation:

Answer:

5:4

Step-by-step explanation:

3 shirts (red)

4 shirts (blue)

3+4=7-12=5

5 shirts (white)

Answer:

175.84

Step-by-step explanation:

It's already rounded as far as it will go

Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

Answer:

The value of "x" is 34 and the value of "y" is 17.

Step-by-step explanation:

"x" is shown as 34 and "y" is shown on the rectangular shape in the number form of 17. If your trying to find the area of the rectangle the area is 578.

Answer:

10^-5

Step-by-step explanation

Move the decimal to the right 5 places. Moving to the right makes the power a negative, moving to the left would make it a positive.

Answer:

above is the answer to the question