A sum of money is shared in the ratio 3:7.
If the smaller share is $450, what is the
8
larger share?
(A) $315
(B) $1050
$1500
(D)
$3150
| (C)

The probability that the bill will be less than $100 is 7%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean\\\\\\Given\ that\ \sigma=32,\mu=147,hence:\\\\For\ x<100:\\\\z=\frac{100-147}{32}=-1.47[/tex]

From the normal distribution table, P(x < 100) = P(z < -1.47) = 0.0708 = 7.08%

The probability that the bill will be less than $100 is 7%

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Answer:

b=-3

Step-by-step explanation:

#1

[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]

[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]

#2

[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]

#3

[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]

[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]

[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]

Answer:

1. Diameter of a semicircles =14cm

Radius or semicircle =7cm

*Area if circle =pi radius 2

=22/7 × 7×7cm 2

=154cm 2

But semicircle is half if a circle so,

Area of a semicircle =1/2 ×154cm2

=77cm2

2. Radius of the circle =1cm

Area of the circle=pi radius 2

=3.14×1×1

=3.14cm2

3.Diameter of a circular lawn=10m

Radius of the circular lawn =5m

Area of the circular lawn =pi radius2

=3.14×5m×5m

=78.5m2

Answer:

12600

Step-by-step explanation:

Answer:

The sum of the solutions = 1/2

Step-by-step explanation:

4m^2 - 2m - 6 = 0

Factor out 2

2( 2m^2 -m-3) =0

2 ( 2m-3)(m+1) =0

Using the zero product property

2m-3 =0           m+1 =0

2m =3              m=-1

m = 3/2              m=-1

Adding the solutions

3/2 -1

+3/2 -2/2

1/2

9514 1404 393

Answer:

  1/2

Step-by-step explanation:

A quadratic equations that has solutions p and q can be factored as ...

  (x -p)(x -q) = 0

When this is expanded, it becomes ...

  x^2 -(p+q)x +pq = 0

That is, the opposite of the x-coefficient is the sum of the solutions.

__

We can put your quadratic into this form by dividing by the leading coefficient, 4.

  (1/4)(4m^2 -2m -6) = 0

  m^2 -1/2m -3/2 = 0

The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.

Answer:

89 degrees

Step-by-step explanation:

Answer:

89°

Step-by-step explanation:

The sum of all 3 angles in a triangles equals 180. If you add 50 to 41, you get 91. Then, you subtract 91 from 180, getting 89 degrees. Next, you square 89, add 170, subtract 12, add 3,218, subtract 3376, and find square root.

I've been told I have strange ways of finding the answers to mathematical questions.

first off, let's get the equation of each line, now, let's notice they're lines, thus we can just use two points from each and the point-slope form to get it, so let's do so, Check the picture below.

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad(\stackrel{x_2}{-6}~,~\stackrel{y_2}{6})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run}{\underset{x_2}{-6}-\underset{x_1}{(-3)}}}\implies \cfrac{6}{-6+3}\implies \cfrac{6}{-3}\implies -2[/tex]

[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)})\\\\\\y=-2(x+3)\implies \blacktriangleright y = -2x-6 \blacktriangleleft\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\qquad(\stackrel{x_2}{6}~,~\stackrel{y_2}{-9})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-9}-\stackrel{y1}{(-6)}}}{\underset{run}{\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{-9+6}{2}\implies \cfrac{-3}{2}[/tex]

[tex]\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{4})\implies y+6=-\cfrac{3}{2}(x-4)\\\\\\y+6=-\cfrac{3x}{2}+6\implies \blacktriangleright y = -\cfrac{3x}{2} \blacktriangleleft[/tex]

now, if we look at the first line, it has a hole when x = -1, however is going upwards to the left otherwise, so we can say the equation includes values to the left of x = -1.

the second equation has a hole when x = 2, so we can say that the equation includes values from x = +2 onwards.

[tex]f(x) = \begin{cases}-2x-6&,~~ x < -1\\[1em]-\cfrac{3x}{2}&,~~x>2\end{cases}[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

20

Step-by-step explanation:

16/4=4

4*5=20

16=4/5 (80%) so 20= 5/5 (100%)

Answer: 20

Step-by-step explanation:

80/100 x Y = 16

80Y/100 = 16/1

Cross multiply

80Y = 1600

Divide both sides by 80

Y = 1600/80

Y = 20

Answer:

24.53 is your answer!

Step-by-step explanation:

add all of the numbers from the correct place values.

Answer:

3

Step-by-step explanation:

Answer:

4.75 is about -5(40) =-200, and 340-200=40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given system:

Graph each line and find the point of intersection of lines.

Graphical solution is attached.

The solution is (-2, -1)

(-2, -1)

y = x + 1 ... (1)

3x + y = -7 ... (2)

Graph in the picture.

Answer:

1. 3,085,003

2. 114,000,726

3. 7,098,000

4. 882,108

5. 500,006,719

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Note that you are multiplying the values of A, B, & C together, and then subtracting the value of A from it. Plug in the corresponding numbers to the corresponding variables:

ABC - A

(3 * 4 * 2) - 3

(12 * 2) - 3

(24) - 3 = 21

21 is your answer.

~

Answer:

if your doing scientific notation then 2.7x10^3 would be the only one correct. if its not scientific notation then 27x10^3 would be more because it would be equivilent to 2700<27000

Step-by-step explanation:

Answer: B

Step-by-step explanation:

10 to the third power is 10*10*10

10*10=100

100*10=1000

2.7*1000=2700

Second Statement

10 to the power of 3 is 10*10*10

10*10=100

100*10=1000

27*1000=27,000

B is the answer

Hope this helped, can i please have brainliest, if not thats alright

Have a Great Day

Answer:

[tex]\bold{y = 3x + 2}[/tex]

Step-by-step explanation:

In a linear equation, [tex]y=mx+b[/tex], the "[tex]m[/tex]" is identified as the slope, while the b is where you begin, the coefficient: y-intercept.

Now, with that said, let us look at each option, and see which one matches the linear equation.

Option 1

One over three x = y - 3

[tex]\frac{1}{3}x=y-3[/tex]

As you can see, the [tex]y[/tex] should be in front of the equation. And the [tex]-3[/tex] should be next to [tex]x[/tex].

Option 2

[tex]y = 3x + 2[/tex]

This equation is a  linear equation: the [tex]y[/tex] is in the right place, the coefficient is right next to [tex]x[/tex], and where you begin is at the right place. If you look at this equation, and the linear equation, you will notice they both match.

Option 3

[tex]y = 6\times2[/tex]

The equation does not make sense in terms of linear equations, first off all. There is nothing to show it is a linear equation, except from the [tex]y[/tex]. It is the same thing as just adding two numbers and putting an equal sign and [tex]y[/tex] in front of it, which is not a linear equation.

Option 4

y = two over three x

[tex]y = \frac{2}{3}x[/tex]

There is no coefficient in this equation, therefore, it is not a linear equation.

The surface area of the triangular prism ramp is: 1,020 ft².

Surface area = 1/2(base area × height)

The triangular prism has the following dimensions:

base area = 20 × 12 = 240 ft²

height = 8.5 ft

Plug the values into the formula:

Surface area = 1/2(240 × 8.5)

Surface area = 1/2(2,040)

Surface area = 1,020 ft²

Therefore, the surface area of the triangular prism ramp is: 1,020 ft².

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Answer:

A

Hope I helped

Hey there!

7 5/8

= 7 * 8 + 5 / 8

= 56 + 5 / 8

= 61 / 8

= 61 ÷ 8

= 7.625

Reciprocal form for fraction is basically the bottom number switched from the top number

Therefore, your answer is: 7 8/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4/9

Hope i helped

Answer:

the answer is 8

Step-by-step explanation:

1. plug in 5 where there is an x: 4(5-3)+5(5)-[tex]5^{2}[/tex]

2. solve everything out and cancel: 4(2)+25-25

3. 4(2)=8

Step-by-step explanation:

Given that:

Evaluate 4(x-3)+5x-x^2 for x = 5

⇛4(5-3)+5(5)-5²

⇛4(2) + 25 - 5*5

⇛8 + 25 - 25

⇛8 - 0

⇛8 Ans

Read more:

Similar questions

Evaluate the expression 3 4/5x − 2 1/2 for x = −5.

https://brainly.com/question/13793815?referrer

Answer:

Step-by-step explanation:

YOU CAN DO THIS :)

Answer:

  D.  5 units

Step-by-step explanation:

The parallel segments divide the slant segments proportionally:

  7.5/10.5 = x/7

  x = 7(7.5/10.5) = 5 . . . . . multiply by 7

The value of x is 5 units.

_____

If you want to use corresponding sides of similar triangles, you get the same result. ΔIGH ~ ΔIJK

  IJ/IG = IK/IH

  7/(7+10.5) = x/(x+7.5) . . . . substitute shown values

  7(x +7.5) = 17.5x . . . . . . . cross multiply

  7(7.5) = 10.5x . . . . . . . . . subtract 7x

 x = 7(7.5/10.5) = 5 . . . . . divide by the coefficient of x

Answer:

D 5 units

Step-by-step explanation:

I got it right on the quiz

Answer:

the value of x is 6 i believe

Step-by-step explanation:

What is value of x? Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. But its value may be determined if we try! A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.

Answer:

y = - 1/3x - 1/3

Step-by-step explanation:

Slope: - 1/3

y-intercept: -2 - (- 1/3)(5) = - 2 + 5/3 = - 1/3

Answer:

B. 40

Step-by-step explanation:

if x=300, it means x>200, then b(x)=0.1(x-200)+30; ⇔ b(x)=0.1*100+30= 40 [USD].

The bill for a person who uses 300 kWh in a month is $40.

Option B is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

For a person who uses 300 kWh in a month, we need to use the second part of the function:

b(x) = 0.10(x - 200) + 30, x > 200

Substituting x = 300, we get:

b(300) = 0.10(300 - 200) + 30

b(300) = 0.10(100) + 30

b(300) = 10 + 30

b(300) = 40

Therefore,

The bill for a person who uses 300 kWh in a month is $40.

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Answer:

47 gallons is you want the world wide web nya berarti aku 0you