Jina's dance recital started at 4:46 PM. It ended at 6:13 PM. How long did the recital last?

Answer:

42 cm squared

Step-by-step explanation:

For part 1, separate the figure into two squares. The 6's are there to trick you, so we won't be using them for the entire process while solving this problem. The bright side is that you won't trick the 6's yourself. Heh. Once doing that, you should get 9 X 4 + 2 X 3, which would be C according to the choices shown.

For part 2, simply do order of operations, or PEMDAS. Here's what PEMDAS stands for:

Parenthesis

Exponents

Multiply/Divide from the left to the right

Add/Subtract from the left to the right

You MUST do this IN ORDER! No exceptions!

Multiply 9 by 4, then multiply 2 by 3.

After that, you should get 36 and 6. Add them together, and you'll get your final answer, which would be 42 cm squared.

So, the final answer would be 42 cm squared.

Hope this helped!

Answer:

\(\large\begin{array}{c|c|c|}\cline{2-3}&x&y\\\cline{2-3}\phantom{\dfrac12}&0&\boxed{9}\\\cline{2-3}\phantom{\dfrac12}&\boxed{2}&0\\\cline{2-3}\phantom{\dfrac12}&4&\boxed{-9}\\\cline{2-3}\end{array}\)

Step-by-step explanation:

Given equation:

\(9x+2y=18\)

Substitute x = 0 into the given equation and solve for y:

\(\begin{aligned}x=0 \implies 9(0)+2y&=18\\2y&=18\\\dfrac{2y}{2}&=\dfrac{18}{2}\\y&=9\end{aligned}\)

Substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}y=0 \implies 9x+2(0)&=18\\9x&=18\\\dfrac{9x}{9}&=\dfrac{18}{9}\\x&=2\end{aligned}\)

Substitute x = 4 into the given equation and solve for y:

\(\begin{aligned}x=4 \implies 9(4)+2y&=18\\36+2y&=18\\36+2y-36&=18-36\\2y&=-18\\\dfrac{2y}{2}&=\dfrac{-18}{2}\\y&=-9\end{aligned}\)

Therefore:

\(\large\begin{array}{c|c|c|}\cline{2-3}&x&y\\\cline{2-3}\phantom{\dfrac12}&0&\boxed{9}\\\cline{2-3}\phantom{\dfrac12}&\boxed{2}&0\\\cline{2-3}\phantom{\dfrac12}&4&\boxed{-9}\\\cline{2-3}\end{array}\)

The angles in the parallel lines are as follows;

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.

Therefore, let's find the angles m∠1 and m∠2.

Hence,

138 + m∠1 = 180(angles on a straight line)

The sum of angles on a straight line is 180 degrees.

m∠1 = 180 - 138

m∠1 = 42 degrees

Therefore,

m∠1 =  m∠2 (alternate exterior angles)

Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.

Alternate exterior angles are congruent.

Therefore,

m∠1 =  m∠2 = 42 degrees.

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Answer:

Total cost for groceries = ($3.75, $1.09,

$4.50, $3.25, $2.58, $4.71, $5.19, $0.89, and $5.34. add them all). = $ 31.3

the amount she paid= $ 35

balance =$ 3.7

therefore she have enough money

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Answer:

positive and odd

Step-by-step explanation:

If a is a negative odd number, then a² can't be negative, because a number squared is always positive.

I'll illustrate this with an example.

Let's choose -7 as an example. Instead of a.

-7² = 49

So we see that the result is positive & odd.

So the words that describe a^2 are positive and odd.

≈ 15.70 cm

L = πr·n°/180°

n = 180° - 66.4° = 113.6°

L = 3.14×7.9×113.6/180

= 2817.9616/180

= 15.6553

≈ 15.70 cm

Answer:

1/6 cups more

Step-by-step explanation:

1/2=3/6

1/3=2/6

3/6-2/6=1/6

ANSWER

8 students like the blue color

we have a total number of 30 students in the class

The percentage of students who like pink is 16.67%

STEP-BY-STEP EXPLANATION:

Given information

From the graph provided, we can deduce the below information

4 students like red

7 students like green

6 students like yellow

5 students like pink

Step 1: Find the number of students who like the blue color?

Let the number of students that like blue be b

Since twice as many students like blue than red, then we can determine the number of students who like blue color using the below expression.

b = 2r

Red = r = 4 students

b = 2 x 4

b = 8 students

Hence, 8 students like the blue color

Part C: Find the total number of students in class

The total number of students can be calculated by summing all the students that love the different colors

Total students in the class = 4 + 7 + 6 + 5 + 8

Total students in the class = 30 students

Hence, we have a total number of 30 students in the class

Part D: What percentage of students like pink

We can calculate the number of students that like pink using the below formula

Recall, the number of students who like pink is 5, and the total number of students is 30

Hence, the percentage of students who like pink is 16.67%

Answer:

\(2x^{2} = 128\)  

I hope this helps!

Step-by-step explanation:

this is an arithmetic sequence :

a1 = 1

an = an-1 + 2 = a1 + (n-1)×2

the sum of n terms of an arithmetic sequence is

S = n×(a1 + an)/2

n = 5000

an = a1 + 4999×2 = 9999

S = 5000×(1 + 9999)/2 = 5000×5000 = 25,000,000

Answer:

5

Step-by-step explanation:

The leading coefficient is the coefficient with a variable with the greatest exponent.The exponent is the number you would say "the power to". What I mean is let's say you have this number: \(3^{2}\) . The exponent would be 2 in this equation because it's saying what power 3 is too. Therefore, 5 is the leading coefficient.

Answer:

The one highlighted yellow is the correct option

6 liters is to 72 km as 50 liters is to x km

Answer:D

Step-by-step explanation:D

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer: 180 students

Step-by-step explanation:

Answer:

Proofs provided below

Step-by-step explanation:

\(\bold {\text{Prove } (a + b)^2 = a^2 + 2ab + b^2}}\)

\(\\\\\implies (a + b)^2 = (a+b) \times (a+b)\\\\\implies (a + b)^2 = a \times (a+b) +b \times (a+b)\\\\\implies (a + b)^2 = a \times a + a \times b + b \times a + b \times b\\\\\implies (a + b)^2 = a^2+ab+ba+b^2\\\\\implies (a + b)^2 = a^2+ab+ab+b^2 \;\;\;\;\text{ since ab = ba}\\\\\implies (a+b)^2 = a^2+2ab+b^2\\\\\)

\(\bold{\text{Prove } a^2-b^2 \,=\, (a+b)(a-b)\\\\}\)

1. Add and subtract ab to LHS
\(\implies a^2-b^2 = a^2-b^2-ab+ab\\\\\implies a^2-b^2 = a^2-ab+ab-b^2\\\\\)

2. Factorize the above expression
\(\implies a^2-b^2 = a(a-b)+b(a-b)\\\\\implies a^2-b^2 = (a-b)(a+b) \;\;\;\; \text{since (a-b) is a common factor in RHS }\)

∴  (a² - b²) = (a - b) (a + b)

\(\bold{\text{Prove $\dfrac{\sqrt{3}+1}{\sqrt{3}-1}$= $2+\sqrt{\ensuremath{3}}$}}\\\)

\(\text{1. Multiply LHS by $\dfrac{\sqrt{\text{}3}-1}{\sqrt{3}-1}$}\\\\\implies $\dfrac{\sqrt{\text{}3}+1}{\sqrt{3}-1}$ \times $\dfrac{\sqrt{\text{}3}-1}{\sqrt{3}-1}$ \\\\\)

\(\implies \dfrac{ (\sqrt{3} + 1)(\sqrt{3}-1) }{(\sqrt{3} - 1)(\sqrt{3}-1) }\\\\\)

Numerator is
\((\sqrt{3} + 1)(\sqrt{3}-1) = (\sqrt{3})^2 - 1^2 = 3 - 1 = 2\\\\\)

Denominator is
\((\sqrt{3}-1)^2 = (\sqrt{3})^2 - 2\cdot \sqrt{3} \;\cdot 1 + (-1)^2\\\\= 3 - 2 \sqrt{3} + 1\\\\= 4 - 2 \sqrt{3}\\\\\)

So LHS becomes
\(\dfrac{2}{4 - 2\sqrt{3}} \\\\\)

Dividing numerator and denominator by 2 yields

\(\dfrac{2}{4 - 2\sqrt{3}} = \dfrac {1}{2 - \sqrt{3}}\)

Multiply numerator and denominator by \({2-\sqrt {3}}\)

\($\dfrac{1\cdot(2+\sqrt{3})}{(2-\sqrt{3})(2+\sqrt{3)}}$\)

\(=$\dfrac{\ensuremath{2}+\sqrt{3}}{2^{2}-(\sqrt{3)^{2}}}=$$\dfrac{\ensuremath{\ensuremath{2}+\sqrt{3}}}{4-3}=\ensuremath{2}+\sqrt{3}$\)

Hence Proved

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

15 hours

Step-by-step explanation:

Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay

We can set up an equation for this question:

t = 4h + x

Now plug in 120 for x

t = 4h + 120

Now we set up Marie's pay:

m = 12h

Since Thomas and Marie made the same amount of money over the same number of hours, we can say:

4h + 120 = 12h

       120 = 8h

           h = 15

This means they both worked for 15 hours.

The volume of the rectangular pyramid is 900 cubic yards.

The standard formula of the volume of the rectangular pyramid is written as

V = 1/3s²h

where s refers the base edge and h refers the height.

Here we have given that the square base has side lengths 15 yards and the height is 12 yards.

Now, we have to find the volume of the rectangular pyramid

As we know the the value of base edge is 15 yard and the height is 12 yards.

Now, we have to apply the values on the formula then we get,

=> V = 1/3 x 15² x 12

It can be simplified as,

=> V = 4 x 225

When we do the appropriate arithmetic operation, then we get,

=> V = 900 cubic yard.

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Answer:

4y + 12 is equivalent to D

Step-by-step explanation:

4(y+3)

4(y) = 4y

4(3) = 12

so it's D

Hope this worked !

Answer:

1.9*10^4   kg

Step-by-step explanation:

1.9*10^4   kg

Answer:

1.9 × 10⁴

Step-by-step explanation:

Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Answer:

to taste more sweet ahshsjjssklslalsushsksss shsjsjjs bshsjsksks s susuisis

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)