Shaquana and her children went into a movie theater and she bought $53 worth of
candies and pretzels. Each candy costs $5 and each pretzel costs $3. She bought a
total of 13 candies and pretzels altogether. Determine the number of candies and the
number of pretzels that Shaquana bought.
Shaquana bought
candies and
Complete: 67%
pretzels.

The number of nametags that should be in the fourth row is 12

It should be noted that this information illustrates sequence.

In this case, the supervisor placed the first three rowsthe first row has 3 nametags, the second row has 5 nametags, and the third row has 8 nametags.

The difference will be:

5 - 3 = 2

8 - 5 = 3

Therefore, the next one will have a difference of 4. This will be:

= 8 + 4

= 13

Check: 12 - 8 = 4

Therefore, the nametags should be 12.

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Answer:

It will take 6 days to catch up and they both will have read 210 pages

Step-by-step explanation:

to find this out we just find where the line intersects

It intersects at 6 days and 210 pages

Hopes this helps please mark brainliest

Answer: i put this here so you can mark the other person brainliest

Step-by-step explanation:

Answer:

y=16

Step-by-step explanation:

Notice that the first equation was multiplied by 4, so you have to multiply the result by 4 to keep it as a true equation

The given graph can be expressed as an equation of f(x) = tan(-x) - 2.

What is a graph of a trigonometric function?

In these trigonometry graphs, the x-axis values of the angles are in radians, and the y-axis value of the function at each given angle is taken as f(x).

The given graph is of a negative angle of a tangent.

So if we draw the graph of the tangent of a negative angle, the graph will pass through the origin, but

If we subtract 2 from the graph of the tangent of the negative angle then we will get the same graph as shown in the given figure.

So the equation would be f(x) = tan(-x) - 2.

Hence, the equation of the graph will be f(x) = tan(-x) - 2.

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a) The combined mass of Mars and Mercury expressed in scientific notation is  9.72 x 10²³

b) The difference in the mass of the two planets expressed in scientific notation is  3.12 x 10²³

Scientific Notation:

Scientific method is the method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

Given,

The mass of Mars is 6.42 x 10²³ kilograms. The mass of Mercury is 3.3 x 10²³ kilograms.

Here we need to find the following,

a) The combined mass of Mars and Mercury expressed in scientific notation

b) The difference in the mass of the two planets expressed in scientific notation

a) The combined mass of Mars and Mercury expressed in scientific notation is calculated by add the both masses then we get,

=> (6.42 x 10²³) + (3.3 x 10²³)

Here we have to take the exponent term as common, then we get,

=> (6.42 + 3.3) x 10²³

=> 9.72 x 10²³

b) The difference mass of Mars and Mercury expressed in scientific notation is calculated by subtract the both masses then we get,

=> (6.42 x 10²³) - (3.3 x 10²³)

Here we have to take the exponent term as common, then we get,

=> (6.42 - 3.3) x 10²³

=> 3.12 x 10²³

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The sum of the interior angles of a polygon with 28 sides is 4680°.

According to the question,

We have the following information:

The number of sides of a polygon = 28

We know that the following formula is used to find the sum of the interior angles of a polygon:

(n-2)*180 where n is the number of sides

Putting the value of n in this formula for the given polygon:

(28-2)180

We will first solve the bracket and then we will multiply the obtained result by 180:

26*180

4680°

Hence, the sum of the interior angles of a polygon with 28 sides is 4680°.

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Answer: the rate change in this problem would be by 1.50

Step-by-step explanation:

The rate of change in this word problem will be 2.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A local ice cream shop has a special deal on Thursdays. buy a waffle cone for $3 and get each scoop for $1.50.

Now,

The rate of change will be find as;

The rate of change = $3 / $1.50

                              = 2

Thus, The rate of change in this word problem will be 2.

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Answer:

here you go..

Step-by-step explanation:

please mark brainliest...

The corerect equation for the given linear equation in one variable is 24 = 31.4n + (-8.4)

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable of the form an x + b = 0 are solved using simple algebraic techniques.

Solution:

According to the word problem,

The formation of Linear Equation will be

24 = 31.4n + (-8.4)

and it can be also written as

24 = 31..4n - 8.4

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Reason:

Multiply both sides by 5 to undo the division.

w/5 = 3

5*(w/5) = 5*3

w = 15

As a way to check, plug in w = 15

w/5 = 3

15/5 = 3

3 = 3

We get a true statement at the end to confirm w = 15 is indeed the answer.

Answer:

$14.25

Step-by-step explanation:

2 bags of cat food costs $9.50. To calculate the price of one, divide $9.50 in half.

$9.50/2 = $4.75

Now, to calculate how much she'd have to spend on 3 bags, you need to multiply $4.75 by 3

$4.75 x 3 = $14.25

by using division, we can find what 1 bag of cat food is worth. Then, we can use multiplication to find what 3 bags of cat food are worth

Worth of One Bag

where w is the worth of one bag

Set up equation                                                                   w = 9.50/2

Solve                                                                                    w = $4.75

Worth of Three Bags

where w is the worth of 3 bags

Set up equation                                                                   w = 4.75(3)

Solve                                                                                    w = $14.25

The estimated value of √4.98 +2.16×7.35 = 18.1075

Operators are Mathematical methods that emphasize particular actions like adding, dividing, and adding multiple times are known as Mathematical Operations. The basic mathematical operations are 4 types they are Addition, Subtraction, Multiplication, and Division.

While we use mathematical operations to solve a problem we will use the BODMAS rule as given below

B - Brackets (Calculating numerical parts in brackets comes first )

O - Orders   (Simplify powers and square roots)

D - Division  (Complete division parts )

M - Multiplication (complete multiplication)

A - Addition   (complete additions part )

S - Subtraction ( End with subtractions )  

Here we have

√4.98 +2.16×7.35

Here the value of √4.98 = 2.2315  (approximately)  

From above value

=> √4.98 +2.16×7.35

=> 2.23 + 2.16 × 7.35  

By using the BODMAS rule

=> 2.23 + 15.876       [ Do multiplication ]

=> 18.106                   [ Do adding ]

Therefore,

The estimated value of √4.98 +2.16×7.35 = 18.106 (approx)

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The equation of the line is y=x-6 when the points are (-3,-9) and (4,-2).

Given that,

The points are (-3,-9) and (4,-2).

We have to find the linear equation.

We know the formula of the equation of the line is,

y=mx+b

The slope of the line is m that is rise by run.

m=-2+9/4+3

m=7/7
m=1

The slope of the line is 1.

Now, b is intercept.

-9=1(-3)+b

-9=-3+b

b=-9+3

b=-6

The equation of the line is y=x-6.

Therefore, The equation of the line is y=x-6 when the points are (-3,-9) and (4,-2).

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Answer:

180

Step-by-step explanation:

If you are 14 you are 3 years away from 17 Wich would mean $60 would have to be multiplied by 3

60x3

3x6= 18

18x10= 180

(sorry if this is wrong)

Given that Rebecca is x years old and Mary is 8 yrs older than her , so the age of Mary will be;

[tex]\longrightarrow Age_{Mary}= x+8 [/tex]

Again Jim is 3 times older than Mary, so the age of Jim will be,

[tex]\longrightarrow Age_{Jim}= 3(x+8) [/tex]

Now we are given that the sum of their ages is 67. So that ;

Equation in terms of x :-

[tex]\longrightarrow x + (x+8) +3(x+8)=67 [/tex]

Solving the equation,

[tex]\longrightarrow x + x +8+3x+24=67\\ [/tex]

[tex]\longrightarrow 5x + 32 =67\\ [/tex]

[tex]\longrightarrow 5x = 67-32 \\ [/tex]

[tex]\longrightarrow 5x = 35\\ [/tex]

[tex]\longrightarrow x = 7 [/tex]

So ,

And we are done!

The option that describes the similarity relationship between the triangles is the option; The triangles are not similar, no expression for x can be found.

Similar triangles are triangles that  have all three interior angles of one triangle, congruent to the three angles of the other triangle.

The parameters of the triangles can be presented as follows;

ΔABC

∠A = 47°

∠C = 62°

AC = y

AB = w

BC = x

The measure of angle  ∠B = 180° - 47° - 52° = 81°

ΔDEF

∠D = 71°

∠E = 47°

DE = z

EF = u

DF = r

Therefore;

∠F = 180°- 71° -  47° = 62°

The angles of triangle ΔABC are not congruent to the angles of triangle ΔDEF, therefore; triangle ΔABC  and triangle ΔDEF are not similar.

Therefore;

The triangles are not similar, no expressions for x can be found.

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Answer:

Step-by-step explanation:

Area of the square = 6^2 = 36 cm^2

radius = 6 : 2 = 3 cm

Area of the four semicircles = 3^2 * π * 2 = 18 π cm^2

Total area in terms of π= 36 + 18π = 18(2+π) cm^2

Total area = 18(5.141593) = 92.548668 = 92.5 cm^2

6x^2 - 2x = 0

-> 2x ( 3x - 1 ) = 0

For this equation to hold true, either 2x or 3x-1 must be equal to 0.

-> 2x = 0 - > x = 0

-> 3x - 1 = 0 -> x = 1/3

It will take the ship 5 hours to travel 75 miles

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

if it takes 2 hours to cover 30 miles by the ship and 4 hours to cover 60 miles.

let d be the distance covered in miles and t time taken in hours

The d ∝ t

introducing a constant

d = kt

when d = 30, t = 2

30 = 2k

k = 30/2

k = 15

The equation relating d and t is

d = 15t

to find t when d = 75, making t the subject of the equation

t = d/15

t = 75/15

t = 5 hours

In conclusion, 5 hours is the time taken to cover 75 miles.

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According to scale drawing, the actual length of route is 84 metres.

The calculations will be based on the concept of ratio and proportion -

Ratio in real :: Ratio of scale drawing

Let us assume the actual length of route be x.

28 : x :: 1 : 300

Writing the ratio as fraction

28/x = 1/300

Cross multiplying the fraction

x = 28 × 300

Performing multiplication on Right Hand Side of the equation

x = 8400 cm

Converting centimetres to meters. As per the known fact, 100 cm = 1 metre

8400 cm = 84 meters

Thus, the actual length is 84 meters.

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Answer: 1712

Step-by-step explanation:

[tex]a_{n} = a_{1} + d(n -1)[/tex]

[tex]a_{1} = -16[/tex]

[tex]d = 2 - (-16) = 18\\[/tex]

       [tex]20 - 2 = 18[/tex]

[tex]-16 + 18(n+1)[/tex]

[tex]-16 + 18(97+1)[/tex]

[tex]-16 + (1728)\\[/tex]

[tex]1712[/tex]

Answer:

14

Step-by-step explanation:

Step-by-step explanation:

x² - 7 = 6x

x² - 6x - 7 = 0

the generation solution to such a quadratic ratatouille

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a) =

= (6 ± sqrt((-6)² - 4×1×-7))/(2×1) =

= (6 ± sqrt(36 + 28))/2 = (6 ± sqrt(64))/2 =

= (6 ± 8)/2 = (3 ± 4)

x1 = 3 + 4 = 7

x2 = 3 - 4 = -1

the sum of both solutions is : 7 + -1 = 7 - 1 = 6

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

So we have  [tex]108+47+(2x+11)=180[/tex]

Solve for x.

[tex]47+(2x+11)=72[/tex]

[tex]2x+11=25[/tex]

[tex]2x=14[/tex]

[tex]x=7[/tex]

Answer:

7

Step-by-step explanation:

108+47=155

180-155=25

25-11=14

14/2=7

Answer:

0.33

Step-by-step explanation:

hope this helps :)

The relationship between the triangles is angle angle side.

We know that triangles could be related in certain ways. The way that a triangle is related to each other can be used to determine the relationship then the several ways that triangles could be related to eacjh other are;

Side angle side

Angle angle side

side side side.

We can see that the angles and the sides of this triangles are the same so the relationship between then can be said to be on the basis of angle side angle.

Looking at the images, it is clear that the triangles are congruent because there are two sides and an angle that are equal.

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Answer:

23-1=22

Step-by-step explanation:

By using the rectangle, we proved that area of triangle is half the area of rectangle that is 1/2 (base×height).

To Prove:- Area of a triangle= 1/2 (base×height)

Diagonals of the rectangle divide it into two parts of equal areas.

Let  ABCD  be a rectangle.

In ΔABC and ΔADC,

                                         AC=AC

By Alternate Interior Angles:

                                    ∠BAC=∠CAD

                                    ∠BCA=∠CDA

Hence, ΔABC≅ΔACD

                               ∴ar(ΔABC) =ar(ΔACD)

Let ΔABC,

We draw a line AD perpendicular to BC, line EF parallel to BC passing through A and lines BE and CF , perpendicular to BC passing through B and C respectively.

In rectangle ADBE,

we get,

                     ar(ΔABE)=ar(ΔADB)

Similarly, in rectangle ADCF,

                     ar(ΔADC)=ar(ΔACF)

Now, area of rectangle BCFE, from axiom,

                               =(length)⋅(breadth)

                               =AB⋅BC

                              =AD⋅BC

Also,

ar(BCFE)

                                   =ar(ADBE) + ar(ADCF)

                                   =2⋅ar(ΔADC) + 2⋅ar(ΔADB)

                                   =2(ar(ΔADC) + ar(ΔADC)

                                   =2(ar(ΔABC))

From (1) and (2),

                                   2(ar(ΔABC)) = AD⋅BC

                                    ar(ΔABC) = 1/2AD⋅BC

                                   ar(ΔABC) = 1/2(base)⋅(height)

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Answer:

bro that question is absolute whack