Name four points in the diagram.
B
B
S
С
A
E
D
point A
to
point B
С BC
point D
DE
point E
points
point T

Answer:

C

Step-by-step explanation:

We can expand, getting 3^(-8)(-2) multiplied by 7^(3)(-2).

The exponents on the 3 is 16 and -6 on the 7.

This is the same as c.

The equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be simplified as below:-

(3⁻⁸ • 7³)⁻²  =  ( 3⁻⁸ˣ⁻²• 7³ ˣ ⁻² )

                 =  ( 3¹⁶• 7⁻⁶)

Therefore, the equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

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Answer:

[tex]4x - 2x = 9 + 3[/tex]

[tex]2x = 12[/tex]

[tex]x = \frac{12}{2} [/tex]

[tex]x = 6[/tex]

Hope it helps u mate

x = 6

4x - 3 = 2x + 9

4x - 2x = 9 + 3

2x = 12

x = 12 : 2

x = 6

Jessica has 5 cupcake cases left.

First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation.

The number of cupcake cases that Janissa has left will be 5.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janissa bought 50 cupcake cases for baking.

She used 2/5 of the cases to bake vanilla cupcakes. Then the number of vanilla cupcakes will be

⇒ 50 x 2 / 5

⇒ 20 vanilla cupcakes

Then the remaining cupcake cases will be

⇒ 50 - 20

⇒ 30 cupcake cases

She then used 5/6 of the remaining cases to bake chocolate cupcakes. Then the number of chocolate cupcakes will be

⇒ 30 x 5 / 6

⇒ 25 chocolate cupcakes

Then the remaining cupcake cases will be

⇒ 30 - 25

⇒ 5 cupcake cases

Then the number of cupcake cases that Janissa has left will be 5.

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Answer:

45?

Step-by-step explanation:

Answer:

5 times x + 30 = 80            (x=10)

Step-by-step explanation:

5 times 10 is 50

50+30 is 80

Answer:

Step-by-step explanation:

Let

x= Quantity of donuts

y= Quantity of cupcakes

He bought 3 times as many donuts as cupcakes

Donuts=y= 3x

Donuts=0.50 each

Cupcakes=1.00 each

PxQx + PyQy = 10.00

0.50(x) + 1.00(y) = 10.00

0.50x + 1.00(3x)=10.00

0.50x+3.00x=10.00

3.50x=10.00

Divide both sides by 3.50

x=10.00/3.50

=2.86

y=3x

y=3(2.86)

=8.58

Jamal bought 2.86 donuts and 8.58 cupcakes

Check:

PxQx + PyQy = 10.00

0.50(2.86) + 1.00(8.58) = 10.00

1.43 + 8.58=10.00

10.01=10.00

10.01 approximately 10.00

Answer:

103°

Step-by-step explanation:

[tex] m\angle DST = m\angle DCS = 80\degree.. (\angle 's \: in\: alternate \: segment) [/tex]

[tex] In\: \triangle DST[/tex]

[tex] m\angle DTS = 180\degree - (60\degree + 80\degree) [/tex]

[tex] m\angle DTS = 180\degree - 140\degree[/tex]

[tex] m\angle DTS = 40\degree[/tex]

[tex] m\angle ETA+m\angle ETD+ m\angle DTS= 180\degree.. (straight \:line \:\angle 's) [/tex]

[tex] m\angle ETA+37\degree + 40\degree = 180\degree[/tex]

[tex] m\angle ETA+77\degree = 180\degree[/tex]

[tex] m\angle ETA = 180\degree-77\degree [/tex]

[tex] m\angle ETA = 103\degree [/tex]

[tex] x = m\angle ETA = 103\degree.(\angle 's \: in\: alternate \: segment) [/tex]

Answer:

Step-by-step explanation:

Since the ratio is 4x:4x:7x, if we add all those numbers up we get 15. Then we do 75/15 to get what x equals. So we get 5. So x equals 5. Following the rules of multiplication, you do 4(5):4(5):7(5), and simplifying that further, you get 20:20:35. If we add all those values up, we should get 75, and we do!

If you're wondering why I did 4x:4x:7x instead of 4:4:7, it's because a ratio is just a...well ratio? It's easier to visualize if you put a variable because the variable could be anything, and you would have to multiply all the given values to get the same proportions. In summery, I did it so it was easier to visualize

3/8 is classified as a rational number.

All fractions, positive or negative, are rational numbers.

Natural numbers, whole numbers, and integers don't include fractions.

Answer:

Rational

Step-by-step explanation:

A natural number is a whole number, so that eliminates natural and whole. An integer is a whole number that includes negative numbers. Since 3/8 is not a whole number, we can eliminate that too. Rational numbers are fractions that don't go on forever. 3/8 is a rational number.

Answer:

C. multiplication

Step-by-step explanation:

P= ()

E=^

M=x

D=/

A=+

S=-

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The range is simply all the y values of a function. Remember, a closed dot signifies ≤ or ≥ whereas an open dot signifies < or >. We see that the minimum y value is -11, and since it has a closed dot, we can write y ≥ -11. From the graph, the maximum y value is 11 and since it has an open dot, we can write y < 11, therefore, the final answer is -11 ≤ y < 11.

Answer:

m<x = 48

m<y = 132

Step-by-step explanation:

Since x and y are supplementary angles, that means their sum is 180 degrees.

And we are given that y is 12 less than 3 times the measure of x.  With this information we can make a system of linear equations.

x + y = 180

y = 3x - 12

So now plug in the value of y into the first equation.

x + y = 180

x + (3x - 12) = 180

x + 3x = 192

4x = 192

x = 48

And then plug this computed value of x back into the first equation to find the measure of y.

x + y = 180

48 + y = 180

y = 180 - 48

y = 132

So the measures of the angles are as follows:

m<x = 48

m<y = 132

Cheers.

Step-by-step explanation:

Let the number with two decimal places be 1.23

Let the number with one decimal place be 4.5

Then 1.23 multiplied by 4.5

= 1.23 × 4.5

= 5.535

The result has more than two nonzero digits.

Note: When you multiply two decimal numbers, the decimal place(s) of the result is the addition of the decimal places of each of the numbers being multiplied.

Answer: The largest angle is 7x

Step-by-step explanation:

Their sum is 180, so

3x + 5x + 7x = 180

5x = 180 --> x = 12

The largest angle is 7x, which is 7(12) = 84

Answer:

f(-4) = -18 and if f(x) = -9, then x = -1

Step-by-step explanation:

To find f(-4), we plug x = -4 into f(x) so f(-4) = 3 * (-4) - 6 = -12 - 6 = -18. To find x when f(x) = -9, we can write:

-9 = 3x - 6

-3 = 3x

x = -1

Answer:

Hey there!

10(6x-5)=60x-50

6(2x-3)-5x=12x-5x-18=7x-18

2x(5+4)=18x

-9(8x-5)=-72x+45

5-8(3x+5)-3=5-24x-40-3=-24x-42

Let me know if this helps :)

Answer:

6.47 gal

Step-by-step explanation:

cost of gas per gallon = $2.78

rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Answer:

6.47 gallons

Step-by-step explanation:

18 divided by 2.78 = 6.47

The question above is incomplete.

Complete Question

Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?

Answer:

7 kangaroos

Step-by-step explanation:

Total number of pets = 24

Fraction representing total number of pets = 1

Step 1

Number of dogs =

Fraction representing dog = 1/8

1/8 × 24 = 3

He has 3 dogs

Step 2

Number of cows =

From the question, we are told that 3/4 are not cows

Therefore, the number of cows he has =

1 - 3/4 = 1/4

The fraction representing cows = 1/4

Hence the number of cows he has =

1/4 × 24 = 6 cows

Step 3

From the question, we are also told that

2/3 are not cats

The fraction representing the number of cats he has=

1 - 2/3 = 1/3

Therefore, the number of cats he has =

1/3 × 24 = 8 cats.

Step 4

How many kangaroos does Michael keep?

We are asked, how many kangaroos he keeps.

Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos

24 = 3 + 6 + 8 + Number of kangaroos

Number of kangaroos = 24 -(3 + 6 + 8)

= 24 - 17

= 7

Therefore, the number of kangaroos that Michael has is 7 kangaroos

Evaluate -6 - (-2):

Your answer is -4

In this case all you had to do was subtract -2 from -6 and your answer is -4

(。・ω・。)

Answer:

242

Step-by-step explanation:

Instead of times you should use * to represent multiplication.

So, the expression is 4 + 34*7

We follow PEMDAS,

So first we multiply,

4 + 238

Now we add.

242

piece of cake, it's $0.37

all you have to do is divide $5.92 by 16 to figure out price per pound.

[tex]\frac{5.92}{16}=0.37[/tex]

to check your answer multiply 0.37 by 16 and you'll get 5.92

note: if you were to divide 16 by $5.92 (inverse operation) you would be solving for pounds per each dollar, and the question asks to find what she paid for each pound not how many pounds she bought for each dollar she spent; since you're trying to figure out a certain price so you also divide by a price. I hope this makes sense

Answer:

[tex]Probability = \frac{1}{8}[/tex]

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

[tex]P(B) = \frac{1}{2}[/tex]

[tex]P(G) = \frac{1}{2}[/tex]

Required

Find the probability or having 1 boy 2 girls

Since the order is not important, the probability is calculated as follows;

[tex]Probability = P(B) * P(G) * P(G)[/tex]

Substitute [tex]\frac{1}{2}[/tex] for P(B) and P(G)

[tex]Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}[/tex]

[tex]Probability = \frac{1 * 1 * 1}{2 * 2 *2}[/tex]

[tex]Probability = \frac{1}{8}[/tex]

Hence, the fractional probability is [tex]\frac{1}{8}[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

28,136,720

Word form: Twenty eight Million, One hundred and thirty-six thousand, seven hundred and twenty

Expanded form: (2 * 10,000,000) + (8 * 1,000,000) + (1 * 100,000) + (3 * 10,000) + (6 * 1000) + (7 * 100) + (2 * 10) + (0 * 1)

2.) 67, 564, 312

Sixty seven million, five hundred and sixty four thousand, three hundred and twelve

(6 * 10,000,000) + (7 * 1,000,000) + (5 *100,000) + (6 * 10,000) + ( 4 *1000) + (3* 100) + (1 * 10) + (2 * 1)

3.) 534, 235, 260

Five hundred and thirty four million, two hundred and thirty five thousand, two hundred and sixty.

(5 * 100,000,000) + ( 3 * 10,000,000) + (4 * 1,000,000) + (2 * 100,000) + ( 3 * 10,000) + (5 * 1,000) + (2 * 100) + (6 * 10) + (0 * 1)

4.) 43, 780, 523

Fourty three million, seven hundred and eighty thousand, five hundred and twenty three.

(4 * 10,000,000) + (3 * 1,000,000) + (7 * 100,000) + (8 * 10,000) + (0 * 1000) + (5 * 100) + (2 * 10) + (3 * 1)

5.) 456,156, 156

Four hundred and fifty six million, one hundred and fifty six thousand, one hundred and fifty six

(4 * 100,000,000) + (5 * 10,000,000) + (6 * 1,000,000) + (1 * 100,000) + ( 5 * 10,000) + ( 6 * 1000) + (1 * 100) + ( 5 * 10) + (6 * 1)

Answer:

see below

Step-by-step explanation:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

The choices are dd, dc, cd, cc

There are 4 choices = dd or cc/ total = 2/4 = 1/2

Let the heads of the coin be dogs and the tails of a coin be cats

Flip two coins and coin A is the first pet and coin B is the second pet

heads , heads = 10

heads, tails  14

tails heads  =13

tails tails =  13

          total 50

Experimental probability  2 dogs or 2 cats = ( hh, tt) /total = ( 10+13) /50 =                    23/50

If we had 3 pets  

what is the theoretical probability that they have three dogs or three cats?

ddd, ddc, dcd, dcc, ccc, ccd ,cdc, cdd

There are 8 options

 ddd or ccc/ total = 2/8 = 1/4

Let the heads of the coin be dogs and the tails of a coin be cats

Flip three coins and coin A is the first pet and coin B is the second pet Coin C be the third pet

Answer:

What is the theoretical probability that the family has two dogs or two cats? (1/2)

Experimental probability  2 dogs or 2 cats = 23/50

If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

1/4=25%

Step-by-step explanation:

Answer:

               [tex]\bold{[g\circ f](x) = 2x^2-13x+2}[/tex]

Step-by-step explanation:

[tex]{}[g\circ f](x) = g[f(x)] \\\\{} [g\circ f](x)= g(x-5)\\\\{} [g\circ f](x) = 2(x-5)^2+7(x-5)-13\\\\{} [g\circ f](x) = 2(x^2-10x+25)+7x-35-13\\\\{} [g\circ f](x) = 2x^2-20x+50+7x-48\\\\{} [g\circ f](x) = 2x^2-13x+2[/tex]

Answer: D.

Step-by-step explanation:

Answer:

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22  ---- OK