Multiply across +combine like terms

Answer:

110

Step-by-step explanation:

Answer:

105 miles

Step-by-step explanation:

first we have to find her speed before it is reduced

so

60/1.5

thats equal to 40

she can travel 40 mph

reduce that by 5 so her speed is now 35mph

35*3=105

Answer:

D: Pay less than the minimum amount due.

Step-by-step explanation:

Answer:

34°

Step-by-step explanation:

The boy is 5 feet 6 inches tall.

The boy casts a shadow that is 8 feet and 3 inches long.

We know 12 inches equal 1 foot.

Therefore the boy's height is 5.5ft and the shadow is 8.25ft.

The angle of elevation of the sun is given by the tangent of the angle A.

[tex] \tan(A) = \frac{5.5}{8.25} [/tex]

[tex]\tan(A) = 0.6667[/tex]

[tex]A= {\tan}^{ - 1} (0.6667)[/tex]

[tex]A=33.69 \degree[/tex]

To nearest degree is 34°

Answer: 34 degrees

Step-by-step explanation:

the boy is 5’6

5x12=60+6=66

The shadow is 8’3

8x12=96+3=99

You would use tan(X)= 5.5/8.25

calculate to get 33.69 round to 34.

Answer:

one solutions

Step-by-step explanation:

graph both points on a graph if they cross you have one solution, if they never meet you have no solution and if it's one line you have infinite solutions

Final answer:

The two given linear equations y = -3x + 6 and y = 2x - 4 have different slopes, which means they will intersect at exactly one point, indicating that there is one solution to the system.

Explanation:

To find out how many solutions can be found for the system of linear equations represented on the graph, we can observe the slopes and y-intercepts of the given equations. The two equations are:

y = -3x + 6

y = 2x - 4

These are both linear equations in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The first equation has a slope of -3 and the second has a slope of 2. Because the slopes are not equal, these lines are not parallel and will, therefore, intersect at one point. When two lines intersect at exactly one point, the system of equations has one solution.

Moreover, since they intersect, they do not have the same line, so they do not have infinitely many solutions. Therefore, the correct answer is one solution (B).

Answer:

your answer would be 2

Step-by-step explanation:

Convert 1 3/12 into an improper fraction which is 5/4

Then add it with 9/12

5

/4  + 9

/12

(5 × 12) + (9 × 4)

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

        4 × 12

= 96/48

=    96 ÷ 48

 -------------------

     48 ÷ 48

= 2

2 is your answer hope this helps :)

Answer:

2 feet

Step-by-step explanation:

To find the total amount of snow that fell, we add

1 3/12 + 9/12

add the fractions

3/12+9/12 = 12/12 =1

Add the whole numbers

1  plus the whole number from the fraction

1+1 =2

Answer:

3 3/8

Step-by-step explanation:

The fish is 2.25 ft above the water surface.

Step-by-step explanation:

⇒ y = -16(0.375)² + 12 × 0.375

      = -2.25 + 4.5

      = 2.25 ft

Answer:

=3

=2

Step-by-step explanation:

12−5+6=0

using the Quadratic Formula where

a = 1, b = -5, and c = 6

=−±2−4‾‾‾‾‾‾‾‾√2

=−(−5)±(−5)2−4(1)(6)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(1)

=5±25−24‾‾‾‾‾‾‾√2

=5±1‾√2

The discriminant 2−4>0

so, there are two real roots.

Simplify the Radical:

=5±12

=62=42

which becomes

=3

=2

hope this helps :)

Answer:

1 inch : 5⅓ miles

6 inches

Step-by-step explanation:

Map : Actual

4½ : 24

1 : 24/4.5

24 ÷ 9/2 = 24 × 2/9 =

1 inch on map represents an actual distance of 16/3 miles in actual

16/3 = 5⅓ miles

Map : Actual

¼ inch : 1 mile

X inch : 24

¼×24 = 6 inches

Answer:    3/16 inches : 1 mile

                  6 inches

Step-by-step explanation:

[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{4\frac{1}{2}\ inches}{24\ miles}\div\dfrac{24}{24}=\dfrac{\frac{3}{16}}{1}\quad \longrightarrow \quad \large\boxed{\dfrac{3}{16}\ inches:1\ mile}\\[/tex]

[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{\frac{1}{4}\ inches}{1\ mile}=\dfrac{x}{24\ miles}\\\\\\\text{Cross Multiply}:\quad \dfrac{1}{4}\bigg(24\bigg)=x\\\\.\qquad \qquad \qquad \qquad \quad \quad \large\boxed{6=x}[/tex]

Answer:

  84.14 square units, total

Step-by-step explanation:

Use the formulas for area of the figures you're interested in.

Rectangle Area

  A = LW

Circle Area

  A = πr^2

__

Your rectangle area will be ...

  A = 5 × 14 = 70 . . . . square units

The area of a full circle with diameter 6 (radius = 6/2 = 3) will be ...

  A = π × 3^2 = 9π

The area of a semicircle of that size is half that:

  semicircle area = 9π/2 = 4.5π

Then the total area of the two figures is ...

  70 + 4.5π ≈ 70 +14.14 = 84.14 . . . square units

Answer:

C = 6pi units

or

C is approximately 18.84 units

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 6 units

C = 6*pi units

If we approximate pi by 3.14

C = 6*3.14

C = 18.84 units

Answer:

The 10th term will be:

                                                         [tex]a_{10}=\frac{1}{512}[/tex]

Step-by-step explanation:

Considering the sequence

[tex]1,\:\frac{1}{2},\:\frac{1}{4}...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}[/tex]

[tex]\frac{\frac{1}{2}}{1}=\frac{1}{2},\:\quad \frac{\frac{1}{4}}{\frac{1}{2}}=\frac{1}{2}[/tex]

[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]

[tex]r=\frac{1}{2}[/tex]

[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]

[tex]a_1=1[/tex]

[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]

[tex]a_n=\left(\frac{1}{2}\right)^{n-1}[/tex]

Putting n = 10 to determine in the nth term to determine the 10th term

[tex]a_{10}=\left(\frac{1}{2}\right)^{10-1}[/tex]

[tex]a_{10}=\left(\frac{1}{2}\right)^9[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]a_{10}=\frac{1^9}{2^9}[/tex]

[tex]a_{10}=\frac{1}{2^9}[/tex]     ∵ [tex]1^9=1[/tex]

[tex]a_{10}=\frac{1}{512}[/tex]     ∵  [tex]2^9=512[/tex]

Therefore, the 10th term will be:

                                                         [tex]a_{10}=\frac{1}{512}[/tex]

Answer:

6x

Step-by-step explanation:

x + x + x + 2x + x

Simplify the equation

4x + 2x

6x

Hope this was useful to you!

Step-by-step explanation:

Hope it helps you in your learning process.

Final answer:

The store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.

Explanation:

To find out how many bottles of aqua paint the store sells when it sells 30 bottles of green paint, we can set up a proportion. Since the store sells 9 bottles of aqua paint for every 1 bottle of green paint, we have the ratio 9/1. We can set this equal to the unknown quantity, x, over 30 (the number of green paint bottles).

9/1 = x/30

Next, cross multiply to solve for x. Cross multiplying gives us:

9 * 30 = 1 * x

Simplifying this equation gives us:

270 = x

Therefore, the store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.

Answer:

y=2x+3

Step-by-step explanation:

Answer:

y = -3x - 1

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the slope using [tex]\frac{y2 - y1}{x2 - x1}[/tex]

(x1, y1) = (-1, 2)

(x2, y2) = (1, -4)

m = [tex]\frac{-4 - 2}{1 -(-1)}[/tex]

m = [tex]\frac{-6}{1+1}[/tex]

m = [tex]\frac{-6}{2}[/tex]

m = -3

Step 2:  Plug into point slope form and solve for y

(y - y1) = m(x - x1)

(y - 2) = -3(x - (-1))

y - 2 = -3(x + 1)

y - 2 + 2 = -3x - 3 + 2

y = -3x - 1

Answer:  y = -3x - 1

Answer:

12

Step-by-step explanation:

Just take 35 and subtract 23.

Answer: Yes

sdizjaoijf

Answer:5

Step-by-step explanation:

you do it

Answer:

The negation to the given statement "At least one gift in the bag is wrapped - true" is " At least one gift in the bag is not wrapped" - False

Step-by-step explanation:

Given statement is At least one gift in the bag is wrapped is true

The negation to the given statement is " At least one gift in the bag is not wrapped" - False

To determine whether the statement is a negation of the given statement is True or False :

Answer:

y= -2

Step-by-step explanation:

Please see attached picture for full solution.

(From the 4th to 5th line, I multiplied both sides by 8)

Answer:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.

The Commutative property states that order does not matter. Multiplication and addition are commutative.

hope this helps please mark brainliest!

Answer:

1/10

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

In its simplest form, expressing the decimal as a fraction to its simplest form will give one over ten.

Therefore if you divide 1/10, the answer will be 0.1. it is also called one-tenth.

Although there are other expressions or fractions that give 0.1, but 1/10 is the simplest of them all, and the question specified to use it in its simplest form.

Answer:

Step-by-step explanation:

Given that

AB=4x+9

BC=5x+2

Then, AC=56

From vector

AC=AB+BC

Then,

56=4x+9+5x+2

56=9x+11

Subtract 11 from both sides

56-11=9x+11-11

45=9x

Divide both sides by 9

45/9=9x/9

5=x

Then, x=5

Now,

1. AB=4x+9, x=5

AB=4(5)+9

AB=20+9

AB=29

2. Also

BC=5x+2

BC=5(5)+2

BC=25+2

BC=27

The length of the edge of the cube is 3.23 cm .

Step-by-step explanation:

We have , The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 or [tex]y = 19.3x^3[/tex] .  A cube of gold weighs 652 grams i.e. y = 652 . Let's calculate value of x from above data:

[tex]y = 19.3x^3[/tex]

⇒ [tex]y = 19.3x^3[/tex]

⇒ [tex]652= 19.3x^3[/tex]

⇒ [tex]19.3x^3=652[/tex]

⇒ [tex]\frac{19.3}{19.3}x^3=\frac{652}{19.3}[/tex]

⇒ [tex]x^3=\frac{652}{19.3}[/tex]

⇒ [tex]\sqrt[\frac{1}{3} ]{x^3} = \sqrt[\frac{1}{3} ]{\frac{652}{19.3}}[/tex]

⇒ [tex]({x^3})^\frac{1}{3} =({\frac{652}{19.3}})^\frac{1}{3}[/tex]

⇒ [tex]x =(33.78)^\frac{1}{3}[/tex]

⇒ [tex]x =3.23[/tex]

Therefore, the length of the edge of the cube  is 3.23cm.

Answer:

$16.15

Step-by-step explanation:

The wholesale price:

Selling Price:

Pair of shoes sold for $16.15 in the store

The department store marks up the wholesale price by 90%, equating to $7.65. Adding this to the original wholesale price of $8.50, the retail price of the shoes in the department store is $16.15.

To calculate the retail price of the shoes in the department store, we need to add the markup value to the original wholesale price. The markup is 90% of the wholesale price. Therefore, we calculate 90% of $8.50, and then add that to the original price.

To find 90% of $8.50, we multiply $8.50 by 90/100. This gives us $7.65. This is the markup value.

We then add this markup value to the original wholesale price. So, $8.50 + $7.65 = $16.15.

The price of the pair of shoes in the department store is therefore $16.15.

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Answer:

Option A, -4

Step-by-step explanation:

Step 1:  Make an equation to represent the problem

(-9)(x) = 36

Step 2:  Solve for x by dividing both sides by -9

-9x / -9 = 36 / -9

x = -4

Answer:  Option A, -4

Answer:

Θ = 52°

Step-by-step explanation:

Once you've set up the triangle, you can see that the adjacent side is 170 cm and the opposite side is 220 cm.

tanΘ = [tex]\frac{220}{170}[/tex]

Θ = tan-1 (220/170)

Θ = 52°

The angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long is 37.694°.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

A person 170 cm tall casts of shadow 220 cm long.

Then the angle will be

[tex]\rm tan \theta = \dfrac{Perpendicular }{Base}[/tex]

We have

Perpendicular = 170 cm

Base = 220 cm

Then

[tex]\rm tan \theta = \dfrac{170}{220}\\\\\\ \theta \ \ \ \ = tan^{-1} \dfrac{170}{220}\\\\\\\theta \ \ \ \ = 37.694^o[/tex]

More about the trigonometry link is given below.

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