to make orange juice from concentrate powder, you need to mix 2 teaspoons of the concentrate in 16 ounces of water. how much concentrate powder do you need for 1 gallon of water?

Answer:

1049.75

Step-by-step explanation:

take 15% off of 1235 or 1235 divided by 15%

The discount will be 15% and the discounted price is $1049. 75

A discount is a price reduction you offer a customer. There are also other methods that you can use to attract customers.

Given:

price for 35 uniforms = 1235

as, there is 15% discount for the items 25- 49 items.

So, there is 15% discount for 35 uniforms

Thus, the discounted price is

=1235 (1- 15%)

=1235 (1- 0.15)

=1235 x 0.85

= $1049. 75

Hence, the discounted price is $1049. 75.

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By brute force, we will see that the smallest 4-digit number that meets the conditions is 2,064.

To do it, we just need to multiplicate 24 by integers (increasing the value of these integers) until we find the first product that has 4 digits. This is called brute force.

For example:

24*50 = 1,200

Nice, but we can only use even numbers, so we must be in the 2 thousand range.

Then let's multiply by 100

24*100 = 2,400

Now we need to go down, until we find the first product that meets the conditions, for example if we use 85 instead of 100, we get:

24*85 = 2040

Each digit can be used once, and here the zero appears twice, let's go to the next one:

24*86 = 2,064

Nice, this is the smallest 4-digit number that meets the conditions.

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Jennifer Davis will earn $910.00 in simple interest on her investment.

The principal amount is $2,600.

The interest rate is 7% per year.

The time period is 5 years.

To calculate the simple interest, we can use the following formula:

simple interest = principal * interest rate * time

Plugging in the values for the principal, interest rate, and time period, we get:

simple interest = 2600 * 0.07 * 5 = 910

Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.

In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.

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Step-by-step explanation:

the longer diagonal is =

√(40²+70²+2(40)(70)cos 36°)

= √(1600+4900+5600(0.8))

= √ 6500 + 4530

= √11,030

= 105 ft

Answer:

48.67

Step-by-step explanation:

31 divided by 2 = 15.5 which is the radius

15.5 times by 3.14(pi) = 48.67

Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Answer:

16

Step-by-step explanation:

A student earned a grade of 80% on a math test that has 20 problems. Therefore, the student answered 16 problems correctly.

Convert 80 to a decimal: .80

.80 ⋅ 20 = 16

Answer:

He answered 16 questions correctly.

Step-by-step explanation:

=》 80/100 × 20

=》 8/1 × 2

=》16/1

=》16 is the answer

Answer:

A

Step-by-step explanation:

Remember that tangent is the ratio of sine over cosine.

\(\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}\)

In the unit circle:

Our x-coordinate is -√2/2 and our y-coordinate is √2/2.

So, substitute -√2/2 for cosine and √2/2 for sine. This yields:

\(\tan(\theta)=\frac{\sqrt2/2}{-\sqrt2/2}\)

Since the numerator and the denominator are the same save for a negative, we can cancel them:

\(\tan(\theta)=-1\)

So, our answer is A.

Answer:

your correct answer cuz is

A

Step-by-step explanation:

The given system of equations is:y = 2x - 1y = -3x + 4The objective is to check which statement is correct about the solution to this system of equations, by using the graph.

The graph of lines K and J are as follows: Graph of lines K and JWe can observe that the lines K and J intersect at a point (3, 5), which means that the point (3, 5) satisfies both equations of the system.

This means that the point (3, 5) is a solution to the system of equations. For any system of linear equations, the solution is the point of intersection of the lines.

Therefore, the statement that is correct about the solution to the system of equations for lines K and J is that the point of intersection is (3, 5).

Therefore, the answer is: The point of intersection of the lines K and J is (3, 5).

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Answer:

c

Step-by-step explanation:

In 60 minutes, minute hand completes 360

0

 i.e., one rotation.

⇒ in 1 minute, minute hands completes  

60

360

∘

​

=6

∘

Hence, in 5 minutes the angle covered is is 6×5=30

o

.

The angle of sector formed is 30

o

.

The area swept by the minute hand in 5 minutes=

360

30

​

×π×14×14

Using π=

7

22

​

, we get

The area swept by the minute hand in 5 minutes =

3

154

​

 sq. cm

Answer:

w = 35/4

im not exactly sure why the options are whole numbers.

Step-by-step explanation:

8 = w-3/4

-w + 8 = -3/4

-w = -3/4 - 8

-w = -3/4 - 32/4

-w = -35/4

w = 35/4

whenever the line drops to the bottom of the graph the reason is because her speed drops to 0

Answer:

6

Step-by-step explanation:

just had this question on edgenuity

Answer:

6

Step-by-step explanation:

i got it correct

Answer: If we're talking about the final temperature in 1 hour, then the final temperature would be -5 degrees. 10-15= -5.

Using the subtraction approach, the projected end temperature will be -5.

Algebra is the study of graphic formulas, while logic is the application of those symbols.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

In an hour, the temperature plummeted by 15 degrees. assuming that the initial temperature was 10 °.

Then the final temperature is given by subtracting the numbers 10 and 15.

Using the subtraction approach, the projected end temperature will be -5.

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Answer:

The answer is 494 dollars

Step-by-step explanation

30% of 380 is 114 and then you add 380 to 114 and you get 494 dollars

The center of the circle is  (3,-3)   and the radius is 6  , the graph is drawn below .

In the question ,

the equation of the circle is given as

(x-3)²+(y+3)² = 36 ,

we know that the general equation of the circle is

(x - h)² + (y - k)² = r²

where , the center is (h,k) and the radius is r .

So , on comparing the given equation with general equation of the circle , we get

h = 3 and k = -3

and r² = 36

So, r = 6 .

the center is (h,k) = (3,-3)

and the radius is 6 .

the graph of the circle (x-3)²+(y+3)² = 36 is shown below .

Therefore , The center of the circle is  (3,-3)   and the radius is 6 .

The given question is incomplete , the complete question is

Graph the circle (x-3)²+(y+3)² = 36 and find the radius and center of the circle ?

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Answer:

y =1/3x-2

when two lines are perpendicular to each other (m2= -1/m1)

using the formula y=mx+c

m1=1/3

since m1=1/3, the slope of the other line will be -1/1/3

m2= -3

The slope of the second line passing through the point(0,4) = -3

using the formula

y-y1 =m(x-x1)

y-4= -3(x-0)

y-4= -3(x)

y-4= -3x

y= -3x+4(equation of the line)

Answer:

is it radius or diameter?

Answer:

3.5 grams

Step-by-step explanation:

just divide the number of peanuts by the number of raisins, 14/4=3.5, 21/6=3.5, 35/10=3.5

Answer:

3.5 for all

Step-by-step explanation:

divide the grams of peanuts by the grams of raisins

a)the ratio of the heights of the pyramids is 5:3. b)the volume of the larger pyramid is 23.04 cm³.

what is volume  ?

Volume is a measure of the amount of space that a three-dimensional object occupies. It is usually measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³). The volume of an object can be calculated using different formulas depending on its shape.

In the given question,

a. Let the height of the smaller pyramid be h₁ and the height of the larger pyramid be h₂. Since the two pyramids are similar, their corresponding linear dimensions are in the same ratio as the areas of their bases. Therefore, we have:

(base area of smaller pyramid)/(base area of larger pyramid) = (linear dimension of smaller pyramid)² / (linear dimension of larger pyramid)²

Since the linear dimension is the height in this case, we can substitute the given ratio of the base areas to obtain:

25/9 = (h₁/h₂)²

Taking the square root of both sides, we get:

h₁/h₂ = 5/3

Therefore, the ratio of the heights of the pyramids is 5:3.

b. Since the volume of a pyramid is proportional to the cube of its height, we have:

(volume of smaller pyramid) / (volume of larger pyramid) = (h₁/h₂)³ = (5/3)³ = 125/27

Substituting the given volume of the smaller pyramid, we get:

108 / (volume of larger pyramid) = 125/27

Solving for the volume of the larger pyramid, we obtain:

volume of larger pyramid = (27/125) * 108 = 23.04 cm³ (rounded to two decimal places)

Therefore, the volume of the larger pyramid is 23.04 cm³.

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Step-by-step explanation:

6

7 47

42

-------

R 5

47 ÷ 7 = 6.71428571429

Answer:

Rs. 440

Explanation:

Tax= 400/100×10%

= Rs. 40

Total amount= 400+40

= Rs. 440

Answer:

cost is 400

Step-by-step explanation:

10/100×40

=10×4

=40

now total amount =400+40

=440

Answer:

Step-by-step explanation:

so you need to do 8.32 x 10=83.2

a. The function \frac{\sin h}{h} is continuous at h=0 and equals 1. Therefore, its rate of convergence as h \rightarrow 0 is 1.

b. The function \frac{1-\cos h}{h} is continuous at h=0 and equals 0. Therefore, its rate of convergence as h \rightarrow 0 is 1.

c. The function \frac{\sin h-h \cos h}{h} can be rewritten as \sin h \cdot \frac{1-\cos h}{h}. As h \rightarrow 0, \sin h \rightarrow 0 and \frac{1-\cos h}{h} \rightarrow 0. Therefore, the rate of convergence of the original function is the same as the rate of convergence of \frac{1-\cos h}{h}, which is 1.

d. The function \frac{1-e^{h}}{h} can be rewritten as \frac{e^{-h}-1}{h} \cdot (-1). As h \rightarrow 0, \frac{e^{-h}-1}{h} \rightarrow -1. Therefore, the rate of convergence of the original function is also -1.

Here are the rates of convergence for each of the given functions as h approaches 0:

a. The rate of convergence for the function `lim(h->0) (sin(h)/h)` is 1 because as h approaches 0, the function converges to 1.

b. The rate of convergence for the function `lim(h->0) ((1-cos(h))/h)` is 0 because as h approaches 0, the function converges to 0.

c. The rate of convergence for the function `lim(h->0) ((sin(h)-h*cos(h))/h)` is 0 because as h approaches 0, the function converges to 0.

d. The rate of convergence for the function `lim(h->0) ((1-e^h)/h)` is -1 because as h approaches 0, the function converges to -1.

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The area of the region R is 24.

To find the area of the region R bounded by the curves f(x) = -x^2 - 4x + 5, g(x) = 2x + 10, and the x-axis over the interval [-5, 1], we need to integrate the difference between the two curves over that interval.

First, let's find the x-values where the two curves intersect:

-f(x) = g(x)

-x^2 - 4x + 5 = 2x + 10

Rearranging the equation:

x^2 + 6x - 15 = 0

Factoring the quadratic equation:

(x + 5)(x - 3) = 0

So the intersection points are x = -5 and x = 3.

Now, let's set up the integral to find the area:

Area = ∫[a, b] (g(x) - f(x)) dx

Since the region is bounded by the x-axis, we take the absolute value of the difference between g(x) and f(x).

Area = ∫[-5, 1] |(2x + 10) - (-x^2 - 4x + 5)| dx

Simplifying:

Area = ∫[-5, 1] |3x^2 + 6x - 5| dx

Since the expression inside the absolute value is non-negative over the interval [-5, 1], we can simplify the integral further:

Area = ∫[-5, 1] (3x^2 + 6x - 5) dx

Integrating term by term:

Area = [x^3 + 3x^2 - 5x] evaluated from -5 to 1

Evaluating the integral at the limits:

Area = (1^3 + 3(1^2) - 5(1)) - (-5^3 + 3(-5^2) - 5(-5))

Calculating the values:

Area = (1 + 3 - 5) - (-125 + 3(25) + 5(5))

Simplifying:

Area = -1 - (-125 + 75 + 25)

Area = -1 + 25

Area = 24

Therefore, the area of the region R is 24.

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Answer:

highway: 70 × 2 = 140 miles

side roads: 35 × 1 = 35 miles

total distance: 140 miles + 35 miles = 175 miles

im sorry if the answer is wrong :)

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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The age of Jane is \(16\frac{5}{12}\) years old.

Lydia is \(13\frac{5}{6}\) years old . Morgan is \(1\frac{1}{3}\) years older than Lydia.

Therefore,

age of Morgan = \(13\frac{5}{6} + 1\frac{1}{3} = \frac{83}{6}+\frac{4}{3}=\frac{83+8}{6} =\frac{91}{6}=15\frac{1}{6}\) years

Jane is \(1\frac{1}{4}\) years older than Morgan.

Therefore,

Age of Jane = \(15\frac{1}{6} + 1\frac{1}{4}\)

Age of Jane = \(\frac{91}{6}+ \frac{5}{4}\)

Age of Jane = \(\frac{364+30}{24}\)

Age of Jane = \(\frac{394}{24}\)

Age of Jane = \(16\frac{10}{24}\)

Age of Jane = \(16\frac{5}{12}\) years old

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Answer:

30

Step-by-step explanation:

29 - 19 = 10 (difference)

triple 10 now:

10 x 3 = 30