Prove that \(\frac{28}{50}\) = 0.56 by showing your steps.

For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

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I am guessing you are talking about Option 3. They start with $125. So they times it by 1.25 as we are using the multiplier method. So in the First month, it will be 156.25. Second it will be 195.3125. So in August it will be $476.837157. Of couse round it and you will get $476.84.

I believe there is a more efficent way of doing this but I have forgotten.

Answer:

y = 18

Step-by-step explanation:

84/42 = 2

This means that you multiply 9 by 2, since 42 times 2 equals 84

Answer:

18

Step-by-step explanation:

42y = 9*84

42y = 756

y= 18

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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Answer:

4 people

Please mark me as brainliest..... :(

Answer:

4

Step-by-step explanation:

I read the graph

Answer:

Step-by-step explanation:

m<7=3x-10

m<3=2x+5

we know that from corresponding angle axiom that

m<7=m<3

3x-10=2x+5

3x-2x=10+5

x=15

m<7=45-10=35,  

m<7=m<1=35

The solution to the system of equations expressed as a coordinate point is \((x.y)=(-1,1)\)

To solve the system

\(3x + y = -2\\y = 2x + 3\)

Note that \(y\) is already made subject of formula in \(y = 2x + 3\). So substitute the value for \(y\) into \(3x + y = -2\) to eliminate \(y\) and leave us with an equation with \(x\)

\(3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1\)

Substitute this value of \(x\) into \(y = 2x + 3\) to get the value of \(y\)

\(y = 2(-1) + 3\\y=-2+3\\y=1\)

The solutions are \(x=-1,y=1\), or expressed as a coordinate point

\((x.y)=(-1,1)\)

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From the graph, the vertical intercept is 120°F

The slope, m, of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

From the graph, the line passes through the points (0, 120) and (55, 60), then its slope is:

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept. In this case, the equation is

y = -12/11x + 120

Substituting with y = 0, we get:

The horizontal intercept is 110°N

Answer:

C

Step-by-step explanation:

Alternate interior angles are next to each other. Sorry if im wrong.

Answer:

a. Convert to improper fraction first:

-2⁴/₉ = -24/9

= -24/9 * 1/2 = -24/18 = -4/3

= -1¹/₃

b. -2/3 * 1/4 = -2/12

= -1/6

c. Convert to improper fraction:

= -1¹/₂ = -3/2

= -3/2 * -1/6

= 3/12

= 1/4

d. Convert to improper fraction:

= 2¹/₃ = 7/3

= 1/6 * 7/3

= 7/18

Answer:

4 hours.

Step-by-step explanation:

Well we can simply divide 32 by 8 and we get 4 hours:

32 miles ÷ 8 miles = 4 hours

It takes the cyclist 4 hours.

Answer:

  4 hours

Step-by-step explanation:

As every speed limit sign tells you, ...

  speed = miles/hours

Solving for time and using generic distance units, we get ...

  time = distance/speed

Filling in the given values, we have ...

  time = 32 km/(8 km/h) = (32/8) h = 4 h

It takes the cyclist 4 hours to travel 32 km.

Answer:

Step-by-step explanation:

1. Start by arranging and organizing things.

2. Make sure to turn of your phone so you don't get distracted.

3. Try to understand what is the question.

4. If you don't understand then, ask a elder or search it up.

5. Give yourself breaks.

6. Try to study more than 2 hours.

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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During summer vacation, Alexa read, on average, 10 pages per night. The number of pages per night Alexa averaging now is 2 pages.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

By calculating the percentage of the original Wesley is now reading, we can make the inquiry a little simpler. He is reading 20% of what he used to read rather than 80% less, for example.

Now we need to set up a proportion to solve the problem.

20% of the 10

20/100 = x/10

Cross multiply

20 x 10 = 200

200/100 = 2

He is currently reading 2 pages per night

Thus, the number of pages is 2.

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We can rewrite the quadratic equation as.

2ax^2 + (-4 - p)x + (9 - k) = 0

and if c = 5, then k =4

We start with the quadratic equation:

2ax^2 + 9 - 4x = px - k

We move all the terms to the left:

2ax^2 + 9 - 4x - px - k = 0

Now we group like terms:

2ax^2 + (-4 - p)x + (9 - k) = 0

That is the equation written in standard form.

b) if c = 5, then we have:

(9 - k) = c = 5

We can solve that equation for k.

9 - k = 5

9 - 5 = k

4 = k

That is the value of k.

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7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

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The result of the addition operation of 1204.2 + 4.72613 is approximately 1208.93.

An addition operation involves two addends added together to result in a number called the sum.

The addition operation is one of the four basic mathematical operations, including subtraction, division, and multiplication.

Mathematical operations combine numbers, variables, and values with mathematical operands to solve mathematical questions.

1204.2 + 4.72613

= 1208.92613

= 1208.93

Thus, the addition of 1204 and 4.72613 yields a total of 1208.93 approximately.

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Step-by-step explanation:

7m - 10 - 4m + 3

3m-7

Hope it helps

Answer:

The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)

Answer:

Left 3, down 2

Step-by-step explanation:

(6,4) --> (3,2)

-3, -2

Left 3, down 2

Answer:

20 days

Step-by-step explanation:

1) \(\frac{8}{10}\) must be written as a fraction where the denominator is 25 since there are 25 days of school.

\(\frac{8}{10} = \frac{x}{25}\)

2) Cross multiply them.

\(10(x) = 25(8)\)

\(10x = 200\)

3) Solve for \(x\).

\(x = \frac{200}{10}\)

\(x = 20\)

Answer:

the answer is m = -1

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

The quartic function with only two real zeros of x=0 and x=4 is x² - 4x = 0

A quartic function is a quartic polynomial, that is, a polynomial with integer coefficients whose highest degree is four. The coefficient of the variable to the fourth degree cannot be zero. Examples of quartic functions include

From the roots;

a = 0 ; b = 4

From the polynomial expressions

x² - (a +b)x + ab = 0

x² - (0 +4 )x + 0*4 = 0

x² - 4x = 0

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Answer:

hope it helps you...

The points of the graph are (10,15)(20,25)(5,5)

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We know that r and s are parallel. This means that p and q are transversals.

We also know that ∠1 and ∠4 are supplementary.

And we want to prove that p is parallel to q.

  Statements:                                 Reasons:

1) \(\bf{r\parallel s\)                                              Given

2) \(\angle 1 \text{ and }\angle 4\text{ are supplementary}\)     Given

3) \(\angle 1\text{ and } \angle 5 \text{ are supplementary}\)     Consecutive (Interior) Angles Theorem

4) \(\bf{\angle 5\cong \angle 4}\)                                      Congruent Supplements Theorem

5) \(p\parallel q\)                                           Corresponding Angles Theorem Converse

And we are done!