Which ordered pair is on the graph of y = 4x + 3?

The expression (9.6 × 10³) × (6.7 × 10²) can be simplified in scientific notation as  6.432 × 10⁶ , 64.32 × 10⁵ and (9.6 × 6.7) × (10³ × 10²) .

Scientific notation is a means to express values that are either too big or too little to be conveniently stated in decimal form (typically would result in a long string of digits). It is also known as standard form in the UK and scientific form, standard index form, and standard form. Scientists, mathematicians, and engineers frequently utilize this base ten notation because it can make some mathematical operations simpler.

The given expression is : (9.6 × 10³) × (6.7 × 10²)

First we multiply the decimal terms separately.

So  (9.6 × 6.7) = 64.32 and now we multiply the power terms

10³ × 10² = 10²⁺³ = 10⁵ ( By using the properties of exponents)

So in proper scientific notation 64.32 × 10⁵ = 6.432 × 10⁶

Which can also be written as 6.432 × 10⁶ or (9.6 × 6.7) × (10³ × 10²) .

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Answer:

The slope is -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

use y2-y1/x2-x1=m to find slope so if you plug both of the points in you would get 1-3/4-2=-2/2 and that would equal -1

Where’s the image? There has to be an image showing the angles to see which pairs of angles are supplementary.

Answer:

271 boxes

Step-by-step explanation:

Answer:

3 crates are required for 3258 cookies

Step-by-step explanation:

since the boxes can have 12 cookies each

number of boxes = number of cookies / number of cookies per box

number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)

since each crate can hold 100 boxes

number of crates = number of boxes / number of boxes per crate

number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)

therefore the number of required crates for 3258 cookies is 3

Step-by-step explanation:hope i helped you

Answer:

B, C, D

Step-by-step explanation:

The following picture below proves that option b, c, and d are the correct pairs that satisfy the function y=7x+5.

Hope this helps! :)

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

⋅

7

5

=

40.5

i

pounds

⋅

7

5

5

. Solve for

x

.

5

⋅

7

7

⋅

5

x

=

40.5

⋅

7

5

i

pounds

x

=

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

∣

∣

−−−−−−−−−−−−−−−

Answer:

∠1 = 116

Step-by-step explanation:

Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:

57 + 59 + x = 180

116 + x = 180

subtract 116 from both sides

x = 64

So now u have the inner angle, and a straight line is also 180 degrees, so:

64 + ∠1 = 180

subtract 64 from both sides

∠1 = 116

Answer:

yeah

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Greetings.

A line goes through (-1,0) and (-1,1).

~ Theory ~

If both x-term for both ordered pairs have same value. The slope for line graph is undefined.

~ Proof ~

Using Rise/Run

[tex]m = \frac{1 - 0}{ - 1 - ( - 1)} \\ m = \frac{1}{ - 1 + 1} \\ m = \frac{1}{0} [/tex]

Because the denominator is 0, therefore, the slope is undefined.

Because from rise/run. We put the x-term to subtract another x-term. And if both x-terms have same value. It will give the run/denominator = 0.

Therefore the answer is a. Undefined

Answer:

I think the answer would be letter a

Step-by-step explanation:

Have a great day, hope I helped

12 cups= 3 quarts

there ya goo

Answer:

Price of each item = 5.50

Step-by-step explanation:

Total items sold = 486

Total price of items sold = $2,673

If the chess club sold each item at the same price,

Price of each item = Total price of items sold / Total items sold

= $2,673 / 486

= $5.50

Price of each item = $5.50

Excluding the units ($) in the answer

Price of each item = 5.50

Answer:

Deon spent 60% of his money on lunch.

Step-by-step explanation:

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

∵ 3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

∴ x = 80

∵ x represents the actual length of the bridge

∴ The bridge is 80 feet long

Answer:

yes

yes

no

no

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]

So it will take 8 seconds for the ball to hit the ground we another value

t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground

Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

[tex]v=-10t+40[/tex]

so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.

[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]

so now we insert the value of t = 4 into the equation of h(t) to get the height.

[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]

so the maximum height of the ball is 80 meters.

Part d

The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.

So the point is actually at the Origin (0 , 0).

Part e

We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as  solved from part A

We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C

Graph attached.

Answer:

92

Step-by-step explanation:

Mean is all the numbers added up together and then divided by the # of numbers.

88*4 = 352

352-80-95-85 = 92

Answer:

A-92

Step-by-step explanation:

Answer: 22 1/2 cups

Step-by-step explanation:

multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

Answer:

1/2 mile

Step-by-step explanation:

.75 mile /1.5 sections = .5 mile/section

Answer:

-13

Step-by-step explanation:

Answer:

t = -13

Step-by-step explanation:

2.6 = -0.2t         Equation

2.6 / -0.2 . = -0.2t/-0.2          Divide -0.2 on both sides

t = - 13       Simplify

Answer:

For your first question, the solution is x> -12

Step-by-step explanation:

First, expand 2(-3x+1), writing it as -6x+2

Next, subtract both sides by 2;

-6x + 2 - 2 < -5x + 14 - 2

Then, we simplify;

-6x < -5x + 12

Next, add both sides to 5x;

-6x + 5x < -5x + 12 + 5x

Simplify;

-x<12

Then, multiply both sides by -1, using reverse of inequality;

(-x)(-1)>12(-1)

Finally, simplify;

x>-12

Answer:

The answer to your second question is x is greater than or equal to -12.

Step-by-step explanation:

First, multiply both sides by -1, reversing the inequality;

(-2(3x+15))(-1) greater than or equal to 42(-1)

Next, simplify;

2(3x+15) greater than or equal to -42

Then, divide 2 from both sides;

2(3x+15/2 greater than or equal to -42/2

Next, simplify;

3x + 15 greater than or equal to -21

Then, we subtract both sides by 15;

3x+15-15 greater than or equal to -21-15

Simplify;

3x greater than or equal to -36

Next, divide 3 from both sides;

3x/3 greater than or equal to -36/3

Finally, simplify;

x greater than or equal to -12

I hope we helped you answer your question.

Answer:

$65

Step-by-step explanation:

Given

Percentage discount = 20%

Equivalent amount saved = $13

Let the original price of the product be x

To get x;

20% of x  = 13

0.2x =  13

0.2x  = -13

0.2 = 13

x = 13/0.2

x = $65

Hence the original price of the product is $65

Answer:

The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.

Step-by-step explanation:

i think thats it it was right on gogle

Answer:

B

Step-by-step explanation:

Answer:

4:3

4 being triangles and 3 being circle.

Essentially, for every 4 triangles there are 3 circles.

Let me know if you need more help, :)

The ratio of number of circles to the total number of shapes is 3 : 7

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of triangles be = A

Now , the value of A is 8

Let the total number of circles be = B

Now , the value of B is 6

So , the equation will be

The total number of shapes = total number of triangles + total number of circles

The total number of shapes = 8 + 6

The total number of shapes = 14 shapes

Now , the ratio of total number of circles to total number of shapes is =

total number of circles : total number of shapes

Ratio of total number of circles to total number of shapes = 6 : 14

On simplifying the ratio , we get

Ratio of total number of circles to total number of shapes = 3 : 7

Hence ,

The ratio of number of circles to the total number of shapes is 3 : 7

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Answer:

4

Step-by-step explanation:

two negative signs are equal to a positive sign

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!