algebra 1 chapter 10

Answer:

2.4

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

Answer:

I will help you figure it out. Multiply all the numbers together: And you'll get; 21,120 in.

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The weight of Piglio is 3/2 times of weight of Whishkers.

Fraction is comparison between two mathematical numbers or quantities.

Given that, Whisker weights 2 2/3 kg

Piglio weights 4 kg

Weight of Piglio is fraction of weight of Whisker = 4/(2 2/3) = 4/(8/3) = (4*3)/8 = 3/2 times

The weight of Piglio is 3/2 times of weight of Whishkers.

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Answer:

D

Step-by-step explanation:

the answer you chose is correct because if you isolate x (shown below), you end up with -5. there is also no equal sign under the less than symbol, so that means it is an open circle, which it is. however, you must flip the sign when multiplying or dividing by a negative number in inequalities, so this becomes a greater than symbol, showing that x is greater than -5. this accurately portrays the given inequality on the number line.

-5x-6<19

-5x<25

x>-5

Answer:

D

Step-by-step explanation:

and because its right

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:

Answer:

172.7

Step-by-step explanation:

2590 divided by 15 = 172.6666667

7 is greater than five so the 6 gets rounded up which makes the answer 172.7!

2590 divided by 15 can be calculated by division operation and it will be equal to 172

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

To divide 2,590 by 15, we can think of it as breaking up 2,590 into 15 equal parts. Each of these parts will have a value of 172, since 2,590 divided by 15 is equal to 172.

In mathematical terms, division is the inverse operation of multiplication. When we divide 2,590 by 15, we are asking, "How many times does 10 fit into 2,590?" The answer is 50, so 2,590 divided by 15 is equal to 172.

So, in summary, 2,590 divided by 15 is equal to 172, and this means that 2,590 can be evenly divided into 15 parts, each of which has a value of 172.

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Answer:

a). 14 hours a week

b). 10.5 hours a week

Step-by-step explanation:

His time = 42 hours a week

Quarter of his time = one fourth of his time.

Third of his time = one third of his time

So, for dealing with complaints:

42h * 1/3 = 42h / 3 = 14h

On the phone:

42h * 1/4 = 42h / 4 = 10.5h

Answer:

a) 14 hours

b) 10.5 hours

Step-by-step explanation:

42 hours = 1 week

a) 1/3 hours a week dealing with complaints

\(\frac{1}{3} *\frac{42}{1} = \frac{42}{3} = 14\)

He spends 14 hours a week dealing with complaints.

b) 1/4 hours a week on the phone

\(\frac{1}{4} * \frac{42}{1} = \frac{42}{4} = \frac{21}{2} = 10.5\)

He spends 10.5 hours a week on the phone.

The equation of  line that passes through the points (-6,-5) and (-4,-4) is  x - 2y = 4 .

The equation of the line passing through the points (x₁,y₁) having slope as m is given by the formula .

y-y₁ = m(x-x₁)

In the question ,

it is given that

the required line passes through the points (-6,-5) and (-4,-4) ,

So , the slope(m) is = (-4 -(-5)/(-4 -(-6))

= (-4+5)/(-4+6)

= 1/2

the equation of the line passing through (-4,-4) and slope as 1/2  is

(y -(-4)) = (1/2)(x -(-4))

y + 4 = (x+4)/2

2y + 8 = x + 4

x - 2y = 8-4

x - 2y = 4

Therefore , The equation of  line that passes through the points (-6,-5) and (-4,-4) is  x - 2y = 4 .

The given question is incomplete , the complete question is

Complete the equation of  line that passes through the points (-6,-5) and (-4,-4) .

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Answer:

q = 2.5

Step-by-step explanation:

calculate the gradients ( slopes ) m of the 2 lines using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, q ) and (x₂, y₂ ) = (6, 5 )

m = \(\frac{5-q}{6-4}\) = \(\frac{5-q}{2}\)

repeat with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (4, q )

m = \(\frac{q-0}{4-0}\) = \(\frac{q}{4}\)

Then

\(\frac{5-q}{2}\) = 2 × \(\frac{q}{4}\) = \(\frac{q}{2}\) ( cross- multiply )

2(5 - q) = 2q

10 - 2q = 2q ( add 2q to both sides )

10 = 4q ( divide both sides by 4 )

2.5 = q

Answer:

Thx for free points. remember me? actually answer questions.

Answer:

a:b = 5:4 = 35:28 (multiplying by 7)

b:c = 7:3 = 28:12 (multiplying by 4)

now a:b:c = 35:28:12

hope it helped

Answer:

Step-by-step explanation:

y=10

Answer:

C

Step-by-step explanation:

39-7=32

40-7=33

41-7=34

42-7=35

According to the graph, it can be inferred that in four months gas consumption is less than 20 units.

To identify the number of months in which gas consumption is less than 20 units, we must look carefully at the graph. As can be seen in the different months there was a different consumption with respect to the others and it is organized as follows:

According to the above, in the months of June, July, August and September consumption is less than 20 units. Then it would be in four months in total that the consumption was less than 20 units.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Attached graph

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Answer:

D

Step-by-step explanation:

It's been a while since i've done these, but I think I know.

Process of ellimination:

A.Nope. 500 is waaaaay to far from 132 to be used here.

B.The use of the number 25 is not needed nor is it correct.

C. This one uses both incorrect numbers, 8500 and 25.

D.Its D. Again, I'm not positive, but it makes the most sense. 8000 is the closest to 8132, and 8000 and 20 are very easy to do mentally and are divisable easily. it should be D.

Answer:

Oof

Step-by-step explanation:

Answer: k = √27-i

Step-by-step explanation:

Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

Based on the information, the pollster's conclusion makes sense.

To know if the pollster is right with his conclusion we must perform the following operation.

In accordance with the above, we can infer that the pollster concludes that 54% of the people surveyed are equivalent to 545 people correctly because 0.86 is a minimum margin of error for this type of statistics. In addition, it can be inferred that the pollster correctly uses the statistics and study parameters of a sample to establish a correct conclusion.

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Therefore, the answer is "No solution (Not possible)".

Dimensions refer to measurable properties of an object or space that define its size, shape, or extent. In geometry, a dimension is a measure of the size or spatial extent of an object, space, or concept. The most common dimensions used in geometry are length, width, and height, which describe the size of a three-dimensional object. In higher dimensions, additional properties such as depth, time, or other physical quantities can be added to describe the object more fully. Dimensions are also used in physics, mathematics, and other fields to describe various properties of objects or systems, such as mass, energy, velocity, or frequency.

by the question.

Let's first determine the dimensions of the finished product with the mat:

The length of the photo with the mat will be: 8 + 2x (2x for the top and bottom borders)

The width of the photo with the mat will be: 10 + 2x (2x for the left and right borders)

Therefore, the ratio of the dimensions of the finished product will be:

\((8 + 2x) : (10 + 2x)\)

We want this ratio to be 3:4, so we can set up the following equation:

\((8 + 2x) / (10 + 2x) = 3/4\)

Multiplying both sides by (10 + 2x) and then simplifying, we get:

\(32 + 6x = 30 + 6x\)

Simplifying further, we get:

\(2x = -2\)

This equation has no real solutions, which means it's not possible to have a mat of uniform width that will give us a finished product with a 3:4 ratio.

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The area under the graph of f(x) = 2x^2 and above the x-axis from x = 0 to x = 8 needs to be estimated using lower and upper sums with different numbers of rectangles.

To estimate the area under the graph, we can divide the interval [0, 8] into subintervals of equal width and use rectangles to approximate the area.

(i) For a lower sum with two rectangles of equal width, we divide the interval into two subintervals: [0, 4] and [4, 8]. The width of each rectangle is 4/2 = 2 units. We evaluate f(x) at the left endpoints of the subintervals and calculate the area of the rectangles.

(ii) For a lower sum with four rectangles of equal width, we divide the interval into four subintervals: [0, 2], [2, 4], [4, 6], and [6, 8]. The width of each rectangle is 8/4 = 2 units. We evaluate f(x) at the left endpoints and calculate the area of the rectangles.

(iii) For an upper sum with two rectangles of equal width, we evaluate f(x) at the right endpoints of the subintervals and calculate the area of the rectangles.

(iv) For an upper sum with four rectangles of equal width, we evaluate f(x) at the right endpoints and calculate the area of the rectangles.

The sums of the areas of the rectangles provide estimates of the area under the graph of f(x) within the specified interval.


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Answer: B

Step-by-step explanation:

The range of values for F(x) would be on the y - axis, so go up on the y - axis to find the points, and since it is not a line it has no inequality symbols, and how sideways it is doesn't matter, it is only how tall it is that matters because it is on the y - axis.

Answer:

149,610 gallons

Step-by-step explanation:

To answer this question, we need to know the volume of Myron's swimming pool in cubic feet. Let's assume that the volume of Myron's swimming pool is 20,000 cubic feet.

Now we can use the given conversion factor to convert from cubic feet to gallons:

1 cubic foot = 7.48052 gallons

Therefore, the number of gallons of water needed to fill Myron's swimming pool is:

20,000 cubic feet x 7.48052 gallons/cubic foot = 149,610.4 gallons

So it will take approximately 149,610 gallons of water to fill Myron's swimming pool completely.

\(~~~~~2x^2 -3 =0\\\\\implies 2x^2 = 3\\\\\implies x^2 =\dfrac 32\\\\\implies x = \pm\sqrt{\dfrac 32 }\)

Answer:

x=12.6

Step-by-step explanation:

5x -9 / 7

5x= -9x7

5x= -63

x= -63/5 = -12.6

x= -12.6

Answer:   D) blueberry pie: $8, pumpkin pie: $11

Step-by-step explanation

Jill sold 6 blueberry pies (6x8) and 1 pumpkin pie (6x8)+11 = $59