Two students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent. 6 - (2 - 4x)

Sophia: 6+2+4x
Sophia's expression is incorrect/correct because ______.

Ursula: 6−(−2x)
Ursula's expression is incorrect/correct because _______.

Equivalent Expression
A correct equivalent expression is ______.

Answer:

the coefficient of y is 5 the constant is 9

Step-by-step explanation:

7y minus 2y is 5y. so the coefficient is 5

3+6 is 9 the contant is 9

Answer:

X Intercept: (-14/9,0) Y intercept: (0,-14)

Step-by-step explanation:

To find the X intercept, plug in y=0... so it would look like this, -9x-14=0, then solve. -9x=14...x=-14/9

To find the Y intercept, plug in x=0...so it would look like this, -9(0)-14=y, then solve. 0-14=y...-14=y

Answer:

The intersection with the x-axis is at B(-14/9,0), and with the y-axis at A(0,-14).

x=0, y=-9x-14, y=-9*0-14, y=-14 A(0,-14)

y=0, y=-9x-14, 0=-9x-14, 0+14=-9x

-9x=14, x=-14/9 B(-14/9,0)

Answer:

h= -14

Step-by-step explanation:

pretend there is a 1 in front of the h making it -1h and divide it by 14(ignoring the h), making the 14 a negative

Answer: it is -14 instead of regular 14, because a positive and a negative make a negative. A negative negative make a positive, and so on.

Step-by-step explanation:

Hope this helps, plz mark brainliest

Answer:

In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1. ... Therefore each of those acute angles is 45°.

Step-by-step explanation:

Answer:

475

Step-by-step explanation:

To find the cost of the bench, subtract 99 from 1049, then divide by 2. Add 99 to the answer(475) to get the cost of the garden table(574).

The prime factorization of 356 is found by dividing it by the smallest prime numbers step by step, leading to the solution of 2×2×89.

The prime factorization of 356 involves breaking down the number into its prime factors, which are numbers that can only be divided by 1 and themselves. To start, we look for the smallest prime number that can divide 356. We find that 2 is the smallest prime factor of 356 (since 356 is an even number).

Dividing 356 by 2, we get 178. Continuing this process, 178 is also even, so we divide by 2 again to get 89. Upon reaching 89, we find that it is a prime number because it cannot be divided evenly by any number other than 1 and itself.

Therefore, the prime factorization of 356 is 2×2×89. This means that 356 can be expressed as a product of these prime numbers.

To solve the system of equations using substitution, Fina needs to isolate one variable and substitute it into the other equation. The solution to the system of equations is x = -3 and y = -9.

To solve this system of equations using substitution, Fina needs to isolate one variable in one of the equations and then substitute that expression into the other equation.

Here are the steps:

Choose one equation and isolate one variable. Let's isolate x in the first equation: 2x - y = 3. Add y to both sides: 2x = y + 3 and divide by 2: x = (y + 3)/2.

Substitute the expression for x in the other equation. Replace x in the second equation with (y + 3)/2: -1.5((y + 3)/2) + 3y = -18.

Solve the equation for y. Simplify the equation: -1.5y - 4.5 + 3y = -18. Combine like terms: 1.5y - 4.5 = -18. Add 4.5 to both sides: 1.5y = -13.5. Divide by 1.5: y = -9.

Substitute the value of y back into the expression for x to find its value. Replace y in x = (y + 3)/2 with -9: x = (-9 + 3)/2 = -6/2 = -3.

Therefore, the solution to the system of equations is x = -3 and y = -9.

Answer:

c?

Step-by-step explanation:

To find the number of blue fish, we set up an equation based on the given information, solving which indicates there are 18 blue fish in the tank (option A).

The question is a word problem asking to find out the number of blue fish in a tank given the total number of fish and the relationships between the counts of different colored fish. We can set up algebraic expressions to solve for the number of blue fish. Let the number of blue fish be represented by x. According to the problem, there are six more yellow fish than blue, which we can express as x + 6. There are four fewer black fish than blue, which we can say is x - 4. The total number of fish is given as 56.

So, the equation we can set up is:

x + (x + 6) + (x - 4) = 56

Simplifying the equation, we get:

3x + 2 = 56

Solving for x, we subtract 2 from both sides to get:

3x = 54

And then divide by 3:

x = 18

Thus, there are 18 blue fish in the tank, which corresponds to option A.

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Answer:

we can express its easy like square of 2 is 4 then it 8 less than

Answer:

n = 450

Step-by-step explanation:

18%·n = 81

18·n/100 = 81

18n = 8100

n = 8100 : 18

n = 450

Answer:

81 is 18% of 450.

Step-by-step explanation:

81 ÷ 18 = 4.5

4.5 x 100 = 450

450 - 18% = 369

450 - 369 = 81

So, 18% of 450 is 81 and 81 is 18% of 450.

Final answer:

To find the height of the tree in yards, divide the height in feet by 3, the conversion factor from feet to yards.

Explanation:

The Redwood National Park is home to some of the largest trees in the world, including Hyperion, the tallest tree in the park at approximately 379 feet. To find the height of the tree in yards, we can convert the height from feet to yards by using the conversion factor of 1 yard = 3 feet.

Height in yards = Height in feet / Conversion factor

Height in yards = 379 feet / 3 feet/yard

Height in yards = 126.33 yards

Therefore, the height of Hyperion is approximately 126.33 yards.

b)

|2x−3y| if x=0.5; y=−0.7

Substitute: |2(0.5)-3(-0.7)|

Simplify: |1+2.1|

Simplify: |3.1|

Since it is an absolute value, it will always be positive: 3.1

d)

|−3 |x| +2x−1| if x=−5

Substitute: |-3(|-5|)+2(-5)-1|

Absolute value is positive: |-3(5)+5(-5)-1|

Simplify: |-15-25-1|

Simplify: |-41|

Absolute value always positive: 41

Answer for the first question:

[tex]a)3a+5b~,when~a=-2;b=-1[/tex]

[tex]=(3)(-2)+(5)(-1)[/tex]

[tex]=-11[/tex]

Answer for the second question:

[tex]b)2x-3y~,when~x=0.5;y=-0.7[/tex]

[tex]=(2)(0.5)-(3)(-0.7)[/tex]

[tex]=3.1[/tex]

Answer for the third question:

[tex]c)4a+8-a,~when~a=-2[/tex]

[tex]=(4)(-2)+8-(-2)[/tex]

[tex]=2[/tex]

Answer for the fourth question:

[tex]d)-3x+2x-1,~when~x=-5[/tex]

[tex]=(-3)(-5)+(2)(-5)-1[/tex]

[tex]=4[/tex]

Option D: A(n) = a + (n – 1) d

Solution:

To identify the formula for finding the nth term of an arithmetic sequence.

Let a be the first term.

d be the common difference of the each term.

n be the term of the number.

A(n) be the nth term of the arithmetic sequence.

Arithmetic formula:

A(n) = a + (n – 1) d

Example: 1, 4, 7, 10, 13, 16, 19, ...

This is a arithmetic sequence.

a = 1, d = 4 – 1 = 3.

To find the 5th term:

Substitute this in the above formula, we get

A(n) = a + (n – 1) d

A(5) = 1 + (5 – 1) 3

       = 1 + 4(3)

       = 1 + 12

A(5) = 13

In the given sequence 5th term is 13.

Hence Option D is the correct answer.

A(n) = a + (n – 1) d

Answer:

A(n) = a + (n - 1)d

Step-by-step explanation:

got it right on quiz

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Solution:

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

[tex]11 \times a + 12 \times b = 560.63[/tex]

11a + 12b = 560.63 -------- eqn 1

Another day she sold 16 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$584.46

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

[tex]16 \times a + 6 \times b = 584.46[/tex]

16a + 6b = 584.46 ------------ eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 2

32a + 12b = 1168.92 ------- eqn 3

Subtract eqn 1 from eqn 3

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

[tex]a = 28.96 \approx 29[/tex]

Substitute a = 29 in eqn 1

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

[tex]b = 20.13 \approx 20[/tex]

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Answer:

81

Step-by-step explanation:

3*3*3*3= 81

Answer:83÷3=27.6 or 27.667

Step-by-step explanation:

The number 83 divided by 3 equals 27 remainder 2.

The long division refers to the mathematical method for dividing large numbers into multiple smaller groups or parts. The number which we divide into small groups is called the dividend, the number by which we divide is called the divisor.

     27

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

3 | 83

   - 81

    -----

       20

       - 18

       -----

          20

          - 18

          -----

             2

Therefore, the number 83 divided by 3 equals 27 remainder 2.

Read more about long division

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Answer:

12 is your answer.I did that and i got it right.

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

since there are 3 different colour hats

4 different colour scarves and

5 different colour jacket

1 hat can be selected in 3 ways

1 scarf can be selected in 4 ways

1 jacket can be selected in 5 ways

Therefore , Tina will have 3 x 4 x 5 different combinations.

This means she will have 60 different combinations

Answer:  [tex]average\ rate\ of\ change\approx-3[/tex]

Step-by-step explanation:

For this exercise you need to use the following formula:

[tex]average\ rate\ of\ change=\frac{f(b)-f(a)}{b-a}[/tex]

You need to find the average rate of change of the given function g(x) over the following interval:

 [tex][-1,2][/tex]

So, you can see in the table that the point whose x-coordinate is -1, is:

[tex](-1,5)[/tex]

And the point whose x-coordinate is 2, is:

[tex](2,-3)[/tex]

Knowing this, let be:

[tex]a=-1\\f(a)=5\\\\b=2\\f(b)=-3[/tex]

Now you can substitute values into the formula:

[tex]average\ rate\ of\ change=\frac{-3-5}{2-(-1)}[/tex]

Finally, evaluating, you get that the average rate of change over the interval indicated in the exercise, is:

[tex]average\ rate\ of\ change=\frac{-8}{3}\\\\average\ rate\ of\ change=-2.66\\\\average\ rate\ of\ change\approx-3[/tex]

Answer:

x=2, y=8. (2, 8).

Step-by-step explanation:

y-2x=4

2x+3y=28

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

y=2x+4

2x+3(2x+4)=28

2x+6x+12=28

8x+12=28

8x=28-12

8x=16

x=16/8

x=2

y-2(2)=4

y-4=4

y=4+4

y=8

Answer:

x=5

Step-by-step explanation:

we have

[tex]3(x+2)+x=2x+16[/tex]

Solve for x

Distribute left side

[tex]3x+6+x=2x+16[/tex]

Combine like terms left side

[tex]4x+6=2x+16[/tex]

Group terms that contain the same variable

[tex]4x-2x=16-6\\2x=10\\x=5[/tex]

therefore

For x=5

The equation is true

Verify

substitute the value of x=5 in the original expression and evaluate

[tex]3(5+2)+5=2(5)+16[/tex]

[tex]3(7)+5=10+16[/tex]

[tex]26=26[/tex] ----> is true

Answer:

45.8

Step-by-step explanation:

We need to find the surface area for this entire figure!

We can see that this is a pyramid here - we must find the area of the 3 triangles and the base triangle at the bottom.

The 3 triangles building up the pyramid are all equal to each other.

To find the area of a triangle, use  [tex]Area = base*height/2[/tex]

[tex]Area=3(\frac{5*7}{3} )+(\frac{5*4.3}{2})\\Area=35+10.75=45.75[/tex]

Round to the nearest tenth: 45.75 -> 45.8

Option A: The entire expression is a sum,

Option C: The term [tex]\frac{7}{r}[/tex] is a quotient are true statements.

Solution:

Given expression:

[tex]$\frac{7}{r}+2^{3}+\frac{s}{3}+11[/tex]

To determine which statements are true:

Option A: The entire expression is a sum.

In the given expression all are addition.

So, it is true.

Option B: The coefficient of s is 3.

No, 3 is in the denominator of s.

The coefficient of s is [tex]\frac{1}{3}[/tex].

So, the given statement is false.

Option C: The term [tex]\frac{7}{r}[/tex] is a quotient.

Yes, 7 is the dividend, r is the divisor and [tex]\frac{7}{r}[/tex] is a quotient.

So, it is true.

Option D: The term [tex]2^3[/tex] has a variable.

No, there is no variable in the term [tex]2^3[/tex].

So, it is false.

Hence Option A: The entire expression is a sum,

Option C: The term [tex]\frac{7}{r}[/tex] is a quotient are true statements.

Answer: A, C,

A: The entire expression is a sum

C: The term 7/r is a quotient

Step-by-step explanation:

The entire expression is a sum

A Sun is the result of an addition problem

The espression 7/r + [tex]2^{3}[/tex] + s/3 + 11 4 terms that we add together.

The statement "The entire expression is sum" it true

The cofficience of s is 3

A coefficient is a number used to multiply a variable.

In the expresion s/3, s is being divided by 3, or more multiplied by 1/3, not multiplied by 3.

The statement " coefficient of s is 3" is nor true

The term 7/r is a quotient.

A quotient is the result of a division problem.

the expression " The term 7/r represent 7 divided by r.

The statement "the term7/r is a quotient " is a quotient" is true.

The tern [tex]2^{3}[/tex] has a varieavle.

Avariable is a letter that stands for an uknown quatity.

There are no letters in the expresion [tex]2^{3}[/tex]

The statement "The term [tex]2^{3}[/tex] has a varieble" is Not true.

The following statements are true

Answer:

35

Step-by-step explanation:

The answer is D, I know this because I just did the USATESTPREP

Step-by-step explanation:

Answer:

[tex]m=-\frac{39}{80}[/tex]

Step-by-step explanation:

we have

[tex]\frac{2}{5}=2m+\frac{11}{8}[/tex]

Solve for m

That means ----> Isolate the variable m

Multiply both sides by 40 to remove the fractions

Note: 40=(8)(5)

[tex](40)\frac{2}{5}=(40)2m+(40)\frac{11}{8}[/tex]

[tex]16=80m+55[/tex]

subtract 55 both sides

[tex]16-55=80m\\-39=80m[/tex]

Divided by 80 both sides

[tex]m=-\frac{39}{80}[/tex]

Answer:

(—2,—5)

Step-by-step explanation:

x² cancels ///

10x —x = —7—11

9x = —18 // divide through by 9//

x = —2 .

y = 4 —20 + 11

Answer:

-6-2x

Step-by-step explanation:

Expand:

(x+3)2 = 2x+6

-4(x+3) = -4x-12

2x+6-4x-12 = -6-2x