Richard purchased some books for $9.25 each. He paid a total of $46.25. If b is the number of books, which equation can be used to determine the total amount of books Richard bought? b + 9.25 = 46.25 46.25b = 9.25 9.25b = 46.25 46.25 - b = 9.25

Answer:

I think the right answer is d

Answer:

The last equation (D): doesn't have a real solution

Step-by-step explanation:

Notice that equation A has for solution x = 1/2

Equation B has for solution x = 0

Equation C has for solution x = 0

There is no real number that multiplied by itself can render a negative value.

[tex]A=\frac{1}{2}\cdot a\cdot b\cdot \sin\angle AB\\\\A=\frac{1}{2}\cdot6\cdot6\cdot\sin38^\circ\\\\A=18\cdot0.616\\\\\boxed{A=11.0819}[/tex]

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Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

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

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

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

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

Answer: (1/2) m

Step-by-step explanation:

1/2 of a m=(1/2) m

If you want to make it more comprehensive, I am going to provide you with some examples

Applying [m] goes with the same pattern

Hope this helps!! :)

Please let me know if you have any question

Answer:

1/3

Step-by-step explanation:

The simplest form of 2/6 is 1/3. You can do 2/6*.5/.5 to get 1/3

You can do other fractions such as 4/12, 8/24, as long as it the numerator maintains a ratio of 1:3

Answer:

the three terms can be combined and reduce to:

[tex]6\,x\,y^2\,\sqrt{5\,x}[/tex]

Step-by-step explanation:

Start by extracting all perfect square factors from the square root in order to simplify the terms:

First term:  [tex]x\,\sqrt{5\,x\,y^4}=x\,y^2\,\sqrt{5\,x}[/tex]

Second term:  [tex]\sqrt{405\,x^3\,y^4} =\sqrt{3^4\,\,5\,\,x^2\,\,x\,y^2\,y^2} =9\,x\,y^2\,\sqrt{5\,x}[/tex]

Third term:  [tex]-\sqrt{80\,x^3\,y^4} =-\sqrt{2^4\,\,5\,x\,x^2\,y^2\,y^2} =-4\,x\,y^2\,\sqrt{5\,x}[/tex]

Notice that all of the terms are like terms (contain the same radical part and variable part) so they can be combined:

[tex]\,x\,y^2\,\sqrt{5\,x}+9\,x\,y^2\,\sqrt{5\,x}-4\,x\,y^2\,\sqrt{5\,x}= 6\,x\,y^2\,\sqrt{5\,x}[/tex]

Answer: b on edge2021 6xy^2sqrt 5x

Step-by-step explanation: its on edge and yeah...like me up pls and thank you!

Answer:

yes, yes

Step-by-step explanation:

B={1,2,3} it doesn't matter if it has ten 2's or one!

so A=B and A⊆B

Answer:

Step-by-step explanation:

25 +5+5+5+5+5+5+5+5+5=70

Answer: 9nickels

Answer:

Infinitely many solutions.

You basically have just one equation.

The top equation is the bottom equation times 5.

Step-by-step explanation:

Answer: C. Infinite many solution

Step-by-step explanation:

#1 simplify the first equation: 20x-5y=5

since the GCF in it is 5, we factor out 5

                   4x-y=1

#2 compare the first and the second equation

                     [tex]\left \{ {{4x-y=1} \atop {4x-y=1}} \right.[/tex]

we can see that both equation are same, which means they present the same line.

Thus, they overlap and they have infinite many solution

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The coordinates of the point (x, y).

x is in the DOMAIN

y is in the RANGE

From the graph we have the points

(1, 2) → x = 1, y = 2

(2, 1) → x = 2, y = 1

(3, 4) → x = 3, y = 4

(5, 2) → x = 5, y = 2

DOMAIN = {1, 2, 3, 5}

RANGE = { 1, 2, 4}

/we only take the repeating element once/

Answer:

Step-by-step explanation:

a) The cost of a product is given as:

Cost = a + bx

Where a is the fixed cost, b is the variable cost, x is the independent variable.

In this case, the independent variable is the distance(d), therefore:

Cost (C) = a + bd

C = a + bd

But the variable cost is $10/km, therefore:

C = a + 10d

A 2.5 km trip cost $40, therefore:

40 = a + 10(2.5)

40 = a + 25

a = 40 - 25 = 15

The fixed cost is $15. Therefore the equation for cost is:

C = 15 + 10d  

b) C = 15 + 10d  

For 6.5 km ride:

C = 15 + 10(6.5) = 15 + 65 = 80

It would cost $80 for a 6.5 km drive.

Answer:

1990+(10h)-2200

or

1990+(10x39)-2200

Step-by-step explanation:

he already has 1990

He earns $10 per hour

he works for 39 hours

$2,200 needed for a motorcycle

1990+(10h)-2200

or

1990+(10x39)-2200

Answer:

0.22, 15%, 1/7, 12%, 1/9

Step-by-step explanation:

Showing all given numbers in decimal form rounded to hundredths:

Putting them in the order from the greatest to least:

Same order with original numbers:

Matching with answer choices:

Answer:

The area of the circle is 314 inches

Step-by-step explanation:

Area if a circle = πr²

r = radius

r= d/2

r=20 /2

r=10 inches

Area =3.14×10²

= 3.14×100

=314 inches

Answer:

314 in. cubed

Step-by-step explanation:

The formula to find the area of a circle is:

A= πr²

Pi is 3.14 so substitute that in

A= 3.14(r)²

The radius is 10 because the radius is half of the diameter.  Half of 20 is 10.  So substitute that in the radius symbol.

A= 3.14(10)²

Square 10, which is 10 times 10.  10 times 10 equals 100.

A= 3.14(100)

100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right.  It gets you 314.0 which is just 314.

A= 314

Answer:

30

Step-by-step explanation:

We are given the expression:

[tex]8-4x+5y[/tex]

and asked to evaluate given x=2 and y=6.

Therefore, we must substitute 2 for x and 6 for y.

[tex]8-4(2)+5(6)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Multiply 4 and 2.

4*2= 8

[tex]8-8+5(6)[/tex]

Multiply 5 and 6.

5*6=30

[tex]8-8+30[/tex]

Subtract 8 from 8.

8-8=0

[tex]0+30[/tex]

Add 0 and 30.

[tex]30[/tex]

The expression 8-4x+5y when evaluated at x=2 and y=6 is equal to 30.

Answer:

Step-by-step explanation:

2/3 + 2/5 = 10/15 + 6/15 = 16/15 tins per day

24 tins divided by 16/15 = 24/1 divided by 16/15

To divide one fraction by another, take reciprocal of the other and then multiply.

24/1 x 15/16 = 360/16 = 22 1/2 days

Answer: Hi!

The equation given is 6.6 * 10^5.

First, we will solve the exponent.

10^5 = 100,000

Next, we will multiply 100,000 by 6.6.

100,000 * 6.6 = 660,000

Therefore, your answer is b), 660,000.

Hope this helps!

Answer:

1

Step-by-step explanation:

1. expand the terms on the right side of the equation: 6=2y+4

2. subtract 4 from both side: 2=2y

3. divide both side by 2: 1=y

Answer:

y=1

Step-by-step explanation:

2(y+2)=6

2y+4=6

2y=6-4

2y=2

y=2/2

y=1

Answer:

73.5 liters of water

Step-by-step explanation:

10 1/2× 7= 73.5

The amount of water that they need for all of the groups will be 73.5 liters.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

For one of their scientific tests, understudies required 10 ¹/₂ liters of water. Assuming there were 7 gatherings doing likewise analysis.

The amount of water that they need for all of the groups will be calculated as,

⇒ (10 ¹/₂) x 7

Simplify the expression, then we have

⇒ (10 ¹/₂) x 7

⇒ (10 + ¹/₂) x 7

⇒ (21/2) x 7

⇒ 147/2

⇒ 73.5 liters

The amount of water that they need for the gatherings will be all 73.5 liters.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer: 281.1 degree

Step-by-step explanation:

Given that a jogger leaves his house runs 15 km on a straight track in a North westerly direction to a lake. The lake is 2.9 km north of the joggers house. 

Using pythagorean theorem to find the third side, which is 14.72

The angle at the lake side will be achieved by using sine rule.

Please find the attached file for the solution and explanation.

Answer:

200000+60000+8000+700+40+1

Step-by-step explanation:

268,741

2 is in the hundred thousands place  200000

2 is in the ten thousands place  60000

8 is in the  thousands place  8000

7 is in the hundreds place 700

4 is in the tens place  40

1 is in the one place  1

Add these together

200000+60000+8000+700+40+1

Answer:

[tex](2\times100000)+(6\times10000)+(8\times 1000)+(7\times100)+(4\times10)+(1\times1)[/tex]

Step-by-step explanation:

So we want to write 268,741 in expanded form.

To do so, first take a look at what each digit means starting from the right.

268,741

This means 1 1s.

268,741

This means 4 10s.

268, 741

This means 7 100s.

268,741

This means 8 1000s.

268,751

This means 6 10,000s.

and 268,751.

This means 2 100,000s.

Therefore, 268,741 is 2 100,000s plus 6 10,000s plus 8 1000s plus 7 100s plus 4 10s plus 1 1s.

In expression form, this would be:

[tex](2\times100000)+(6\times10000)+(8\times 1000)+(7\times100)+(4\times10)+(1\times1)[/tex]

Answer:

6(x-22) or 6x-132

Step-by-step explanation:

translate into english : it says 6 times difference of x and 22, so you would need to do the subtraction first before you multiply by 6 which you get 6(x-22)!

Answer:

-4

Step-by-step explanation:

6*x-22

keep 6x on the LHS and -22 on the RHS

leave x in LHS and divide -22 with 6 on the RHS

the answer will come -4

Answer: 11 consignmen

Step-by-step explanation:

Given that a consignment of fodder can feed 1000 sheep 20 days. Assuming that all the sheep consume

fodder at the same rate, then

1000 × 20 = 20000 for 1 consignment

to feed 550 sheep for 400 days, that is

550 × 400 = 220000

The consignment that will be needed will be

220000 / 20000 = 11

Therefore, 11 consignment  fodder are needed to feed 550 sheep for 400 days.

Answer:

x= 2

x= -3

Step-by-step explanation:

Solving as normal quadratic equation:

Roots are 2 and -3

Answer:

Step-by-step explanation:

2x² + 2x - 12 = 0

Divide all the terms by 2 to simplify the terms

That's

x² + x - 6 = 0

Write x as a difference

That's

x² + 3x - 2x - 6 = 0

Factor x out of the equation

That's

x( x + 3) - 2x - 6 = 0

Factor out - 2 from the expression

x(x + 3) - 2( x + 3) = 0

Factor out x + 3 from the expression

That's

( x + 3)(x - 2) = 0

Hope this helps you

Answer:

18 m

Step-by-step explanation:

The given situation is equivalent to a right angled triangle as shown in the diagram attached.

AB is the height at which tree was cut.

And the top touches the ground at a point C.

So,

AB = 5 m and

AC = 12 m

Here, we have to find original height of the tree.

Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)

Let us consider the [tex]\triangle ABC[/tex].

As per pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m[/tex]

Therefore the answer is :

Height of tree = 5+13 = 18 m

doing this because its already answered and I need points. But to be safe, Itds the second option going to the right. (aka the top right option)

Step-by-step explanation:

The two-way frequency table shows the result of the poll is in  option "B".

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

According to the question

A store polled its customers about the fit of jeans they preferred.

The two-way frequency table shows the result of the poll.  

As the frequency table have 4 columns and 3 rows

In which  columns have : Regular , Slim , Bootcut , Total

In which rows have : Male , Female ,Total

To check which option is correct we will check whether total is correct for column is row or not

Option A  :

This option is incorrect

1st column is not correct as total should be 1 but it is 0.5 .

Option B:

This option is correct as total is correct for column and row .

Option C:

This option is incorrect as total of column Bootcut is not correct .

Option D:

This option is incorrect as total of  all columns are incorrect .

Hence, the two-way frequency table shows the result of the poll is in  option "B".

To know more about  frequency table here:

https://brainly.com/question/12576014

#SPJ3

Answer: 16

Step-by-step explanation:

A perfect square is basically some number multiplied by itself. For example, 4 is a perfect square because 2x2=4.

22 x 22 = 484 (under 500)

23 x 23 = 529 (over 500)

Therefore, the perfect square must be 484.

Subtract 484 from 500:

500 - 484 = 16

16 is the answer :)