Dave earned $637 last week. He worked 35 hours and earned the same amount rach hour. How much was he paid per hour?

For the given equation 2(x-0.1x-2.70)=56.70, the value of x is 7.76

The equals sign is used in mathematical formulas to show that two expressions are equal. The first stage in resolving a variable equation is determining the values of the variables that lead to equality. The variables for which the equation must be solved are known as the unknown variables, while the values of the unknown variables that satisfy the equality are referred to as the equation's solutions. Identity equations and conditional equations are the two types of equations.

Given equation, 2(x-0.1x-2.70) = 56.70

or, 2(0.9x-2.70) = 56.70

or, 1.8x - 5.40 = 56.70

or, 1.8x = 56.70+5.40

or, x = 62.10/1.8 = 7.76

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( 5x + 3 )( 4x - 5 ) is the factorized form of the polynomial 20x² - 13x - 15 using the AC method.

AC Method is simply a method of factoring trinomials in the form ax² + bx + c.

Given the polynomial in the question;

20x² - 13x - 15

Compare to the form ax² + bx + c

To factor, compare to the form ax² + bx + c and rewrite the middle term as a sum of two terms whose product is;

a × c = 20 × -15 = -300

and whose sum is;

b = -13

Now, factor -13 and of -13x

20x² - 13(x) - 15

We know that -13 is the same as 12 - 25

20x² + (12 - 25)(x) - 15

20x² + (12 - 25)x - 15

Apply distributive property

20x² + 12x - 25x - 15

Group the terms

(20x² + 12x) - 25x - 15

Now, factor out the greatest common factor from each group

4x( 5x + 3 ) - 5( 5x + 3 )

( 5x + 3 )( 4x - 5 )

Therefore, the factorized form of the polynomial is ( 5x + 3 )( 4x - 5 ).

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To convert miles per hour to feet per second the conversion factor that wouldn't be used is option d: 1 mi/5280 ft  and 5 miles per hour will be equal to 7.34 feet per seconds.

As per the question statement, we are asked that which of the given conversion factors, will not be used for converting miles per hour to feet per second.

We should be knowing the following values for conversion:

we know, 1 mile = 1.6 km = 5280 feet

and 1 hour = 60 minutes = 3600 seconds.

Now, mi/hr * 1hr/60min * 1min/60sec * 5280ft/mi

Note that units all cancel out leaving only ft/sec

Hence option d : 1 mi/5280 ft is not appropriate for converting mi/hr to ft/sec.

For e.g., 5 miles per hour = 5*5280/3600

5 mil/hr = 7.34 ft/sec

Hence, to convert miles per hour to feet per second the conversion factor that wouldn't be used is option d: 1 mi/5280 ft  and 5 miles per hour will be equal to 7.34 feet per seconds.

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Answer:

There are 15 boys.

Step-by-step explanation:

Let x represent the answer!

it would be 4x+3x=35

add 4x+3x

7x=35

divide 35 by 7

x=5

multiply 5 x 4 then you get 20 girls

then multiply 5 x 3 to get 15 boys.

your welcome <3

The perimeter of rectangle is ( 19.2 d - 25 f ) cm

A rectangle's perimeter (P) is the sum of the lengths of its four sides. A rectangle has two equal lengths and two equal widths since its opposite sides are equal. The following is the formula for calculating a rectangle's perimeter: The formula for perimeter is length + length + width + width. P = l + l + w + w.

Given the length of the rectangle = (2.4 d - 7.6f) cm

width of the rectangle = (7.2 d - 4.9 f ) cm

The perimeter of rectangle = 2 ( length + width )

2 ( 2.4 d - 7.6f + 7.2 d - 4.9 f )

2 (9.6 d - 12.5 f )

( 19.2 d - 25 f ) cm

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Answer:

approximately 282.74

Step-by-step explanation:

Answer:

x^{2} +8x+15

Step-by-step explanation:

Use Distributive Property:

(x+3)(x+5)

[tex]x^{2}+5x+3x+15[/tex]

[tex]x^{2} +8x+15[/tex]  Answer

Answer: x ^ 2 + 8x + 15

Step-by-step explanation: You can use the FOIL method to multiply. F - first two variables, so the two x.

x • x = x^2

O - outside, the outermost variables in the parenthesis, which would be x and 5.
x • 5 = 5x

I - inside, the innermost variables in the parenthesis, which would be x and 3.

x • 3 = 3x

L - last two variables, so 3 and 5.

3 • 5 = 15

Altogether:
x^2 + 5x + 3x + 15, which simplifies to x^2 + 8x + 15.

Image & example for clarity! Hope this helped!

The value of t is $12.

Solution:

3 x 50 = 150

18 x 20 = 360

The sum is 360 + 150 = 510. Then subtract the value 510 from 630.

$630 - 510

$120

120 / 10 = 12

Subtract the null hypothesis mean from the sample mean. Divide the difference by the sample standard deviation. Multiply the result by the square root of the sample size. The t value measures the magnitude of the difference relative to the variability of the sample data. In other words, T is simply the calculated difference expressed in units of standard error.

The larger the size of T the more evidence against the null hypothesis. The important t-value is the limit of the t-distribution. The t distribution is a probability distribution used to compute population parameters when the sample size is small and the population variance is unknown. The T-score is used to analyze whether to support or reject the null hypothesis.

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Answer:

76%

Explanation:

We want to write a percentage that is between 3/4 and 7/9.

First, begin by converting each of the fractions to its decimal equivalent.

Thus, we can say that:

A percentage that is in between 3/4 and 7/9 is 76%.

The amount Jamie got be x = $36,

The amount Nashwa got be y = $25.2

We can get Jamie and Nashwa got $10.8 altogether.

Based on the given conditions,

To find how much Jamie gets more than Nashwa.

First of all, we would have to solve for Jamie share from the money.

x : y = 10 : 7       (Equation-1)

But,

Jamie got amount = $36

We can substitute in x = $36 in equation-1,

Let us assume,

Jamie = x

Nashwa = y

So,

We can write,

x : y = 10 : 7  

$36 : y = 10 : 7  

[tex]\frac{36}{y} =\frac{10}{7}[/tex]

We can cross-multiplying,

36*7 = 10y

252 = 10y

y = 252/10

We can divide the products,

y = 25.2

Hence,

Nashwa = $25.2

Difference of the Jamie and Nashwa,

Difference = x - y

Difference = $36 - $25.2

Difference = $10.8

We can write,

Jamie gets $36 more than Nashwa.

$25.2 + $10.8 = $36

$36 = $36

Therefore,

The amount Jamie got be x = $36

The amount Nashwa got be y = $25.2

We can get they got $10.8 altogether.

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The position of the trout now relative to the surface is -17 feet. Therefore, Denis is wrong.

It should be noted that a expression shows the relationship between the variables.

From the information, a trout was swimming 9 feet below the surface of a lake and it drove down 8 more feet to search for food.

The position will be the addition of the feets. This will be:

= -9 + (-8)

= -9 - 8

= -17 feet

The position is -17 feet.

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The pair of terms which is a pair of like terms is 3b³ and 5b³

Similar phrases are used to define similar variables and powers. The coefficients do not necessarily have to concur. It is claimed that two or more terms are unlike when they do not have the same variables or powers. The order of the variables doesn't matter unless there is a power.

Which two terms are similar must be determined.

Exponents and variables for similar words must match.

The same variables are shared by both words in the first option, but they have different exponents. Therefore, a2b and ab2 are unrelated words.

The second choice has both a3 and 63, one of which has a variable. They are distinct from terms.

The fourth option has two unique variables, 8a and 8b. Thus, they are different.

In the third alternative, the words 3b³ and 5b³ share the same variable b and exponent 2.

Thus, 3b³ and 5b³ are Like terms.

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Answer:

Step-by-step explanation:

Because 2x+19 and x + 23 are alternative exterior angles, they have an equal value. Thus:

2x+19 = x + 23

Solve for x:

x + 19 = 23

x = 4

Answer: 0 & -7

Step-by-step explanation:

Answer:

12. 0

13. -7

Hope this helps :)

If you need an explanation just comment!

Answer:

Step-by-step explanation:

It should be noted that the ratio of syrup, sugar, butter and oats was illustrated as:

1:2:3

Therefore, when 50g of syrup was used, the quantity of butter that was used will be:

= 50 × 2 = 100g

The rural quantity of flapjacks that was made will be:

= 50 + 100 + 100 + 200.

= 450g

Therefore, the total quantity of flapjacks that was made will be 450g.

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Answer:

y = -6x + 2

Step-by-step explanation:

(1, -4)     m = -6

(x₁, y₁)

y - y₁ = m (x - x₁)

y - (-4)= -6 (x - 1)

y + 4 = -6x + 6

  -4             -4

------------------------

y = -6x + 2

I hope this helps!

Answer:

y = 4x - 14

Step-by-step explanation:

The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

We can calculate the slope with the two given points.  Slope is the Rise/Run between these 2 points:

(4,2) and (6,10)

Rise:  10 - 2 = 8

Run:    6 - 4 = 2

Slope = Rise/Run = 8/2 = 4

m is 4, so we can write:  y = 4x + b

We can find b by entering either of the given points and solving for b.  I'll use (4,2):

y = 4x + b

2 = 4*(4) + b

2 = 16 + b

b = -14

The equation becomes y = 4x - 14

See the attached graph.

Yes the UPC code 0-32281-69425-1 valid. Because a string of unique black bars, and the unique 12-digit number beneath it.

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As given by the question

There are given that a expression

Now,

Simplify the above expression

Hence, the value of the given expression is shown below:

Answer:

I do not think that you can write √2 as a fraction. (4/3)² is  16/9.

Step-by-step explanation:

For √2 it cannot be written as a fraction because it has an infinite amount of decimals. For (4/3)² that equals 16/9 so you would place it on the second number line two ninths before 2.

Hope this helps!

Answer:

[tex]image = (0 \: \: 2)[/tex]

In order to construct frames for each of the platonic solids, Kepler has to construct nine wooden edges for the cube. These edges will then be pieced together to make the frames.

He created models of each of the platonic solids since it is shown in the data that they are connected to the planets' orbits. Kepler fashioned wooden edges to form each of the platonic solids into a frame.

Two of the six planets identified at the time were regarded to be platonic solid cubes. The three-dimensional shape of a cube has 12 edges and 8 corners.

Thus, there are 4 x 2 + 1 edges.

= 9

Kepler must create nine wooden edges for the cube in order to piece together wooden edges to form frames for each of the platonic solids.

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Answer:

$48,464.91

Step-by-step explanation:

Part A-Well, Miranda is going 4mph, so the answer would be t=m/4, because it's how many miles she's traveled divided by 4 to get how long she's been skiing. With the info we have, we could also write 0.5=2/4

Part B-So, we have that m=5.2, so we do t=5.2/4 5.2/4=1.3, so we have 1.3=5.3/4. So, she's been skiing for 1.3 hours.

The angle measures are;

m < 1  = 33°

m < 2 = 57°

It is important to note that complementary angles are defined as pairs of angles that sum up to 90 degrees.

From the information given, we have the angle measures as;

This can be represented as;

m < 1 + m < 2 = 90

Now, let's substitute the values into the equation, we have;

(x + 14) + 3x = 90

expand the bracket, we have;

x + 14 + 3x = 90

collect like terms

4x = 90 - 14

subtract the values

4x = 76

Make 'x' the subject of formula, we get;

x = 76/4

x = 19

Then,

m < 1 = (x + 14) = 19 + 14 = 33°

m < 2 = 3x = 3(19) = 57°

Hence, the values are 33° and 57° respectively.

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The complete question is;

In the figure below, m < 1 = (x + 14) and m < 2 = 3x, are both complementary to each other

Find the angle measures.

The ratio of coins to notes in a bag is 3 to 8.

The total number of coins is 24.

Let there be y number of notes in the bag. Then we can write,

On solving we get,

Thus there are 64 notes in the bag.

Karl must cycle for seven hours and stroll for three hours each week in order to burn precisely 3000 calories.

Given:

No. of calories to burn by Karl = 3000

No. of calories burnt per hour by walking = 200

No. of calories burnt per hour by cycling = 350

No. of hours per week for Karl = 10

To find: No. of hours required to exercise through walking and cycling for burning 3000 calories.

Let W be the no. of hours required to burn calories in one hour by walking.

Let C be the no. of hours required to burn calories in one hour by cycling.

Formulating the given information

W+C = 10    ⇒ (1)

200W + 350C = 3000

Multiplying equation (1) by 200

200W + 200C = 2000

Subtracting equation (3) from equation (2)

150C = 1000

C ≈ 7

Substituting in equation (1)

W + C = 10

W + 7 = 10

W = 3

Therefore W = 3 and C = 7

Karl must cycle for seven hours and stroll for three hours each week in order to burn precisely three thousand calories.

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The mass of copper in the statue is 46kg.

Ratio of cooper to tin is 23 to 2 and similarly it would be 46 to 4, which adds up to 50. So the mass of cooper in the statue is 46kg.

It is one of the fundamental quantities of physics and a fundamental property of matter. We can define mass as a measure of the amount of matter in a body. The SI unit of mass is the kilogram (kg).

The bit mass  does not change at any time. Only in certain extreme cases, when enormous amounts of energy are given or taken from the body. For example: in a nuclear reaction, a small amount of matter is converted into a huge amount of energy, which reduces the mass of the matter.

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Answer:

f(x) = a·(x + 1)·(x - 3)

f(2) = a·(2 + 1)·(2 - 3) = a·3·(-1) = -3·a = -6 --> a = 2

f(x) = 2·(x + 1)·(x - 3)

f(x) = 2·(x^2 - 3·x + x - 3)

f(x) = 2·(x^2 - 2·x - 3)

f(x) = 2·x^2 - 4·x - 6