an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?

Answer:

2/45

Step-by-step explanation:

Answer:

[tex]a_{62}=-107[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

The common difference of the given sequence is -2:

[tex]13-15=-2\\11-13=-2[/tex]

Using the first term and the common difference, you can write the equation for this sequence:

[tex]a_n=15+(n-1)(-2)[/tex]

And using that equation, you can find the 62nd term:

[tex]a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107[/tex]

Answer:

-8

Step-by-step explanation:

ky^2 = -5y + 7y^2 +9y - 15y^2 -4y

ky^2 = -8 y^2

k = -8

Answer:

  8

Step-by-step explanation:

We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.

We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.

  [tex]-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0[/tex]

In order for this to be zero for all values of y, we must have (-a+8) = 0.

  a = 8

The missing coefficient is 8.

_____

Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.

  -a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0

  -a -[-5-(-16)] -[-19] = 0

  -a -11 +19 = 0

  -a +8 = 0

  a = 8 . . . . . . same as above

_____

Additional comment

The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.

We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.

[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]

We carry out the three multiplications.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]

Now we make the ones that are marked.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

Answer:

if i am correct this is the formula you asked?

[tex](4z^7+\frac{1}{z}^7)^2[/tex]

Step-by-step explanation:

the answer is

[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]

if i put the wrong equation tell me so i can do it again

:)

Answer:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

General equations are in the form [tex]Ax + By + C = 0[/tex]

So you can add 6 to both sides to make:

[tex]5x+2y+6=0[/tex]

Answer:

The larger number is [tex]1100[/tex]

Step-by-step explanation:

Let larger number be [tex]x[/tex]

We have

[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]

Answer:

The larger number is 1100.

Step-by-step explanation:

Solution :

Let the,

Now, According to the question :

[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]

Hence, the value of x is 100.

Now, calculating the larger number :

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]

Hence, the larger number is 1100

[tex]\rule{300}{1.5}[/tex]

Answer:

50 ?

Step-by-step explanation:

You didn't give any detail about how many beads it takes to make one bracelet

Answer:

721/M

Step-by-step explanation:

Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)

Answer:

  p(c) = 3c +5

Step-by-step explanation:

Effectively, you want to solve for p.

  6c = 2p -10

  6c +10 = 2p

  3c +5 = p

  p(c) = 3c +5 . . . . function notation (p is a function of c)

3x(1-4x)+2(1-4x)

3x-12x²+2-8x

-5x-12x²+2

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

Hi!

To solve this, we can set up an equation. If L, the length, is 3 less than 2 times W, the width, it would look like this. L = 2w - 3

Now, the perimeter equation is L + L + w + w = 48, so we plug in the L's and get this:

2w - 3 + 2w - 3 + w + w = 48

Now solve, add like terms:

6w - 6 = 48

add 6 to both sides

6w = 54

divide both sides by 6

w = 9

The width is 9, and the length is two times this minus 3, so 2(9) - 3 = 18 - 3 = 15

Therefore your width is 9 and your length is 15

Hope this helps! :D

Answer:

m = 4.5

Step-by-step explanation:

2 = 2m - 7

add 7 to both sides

9 = 2m

divide by 2 on each side

4.5 = m

CHECK:

2 = 2(4.5) -7 (TRUE)

2 · 4.5 = 9

9 - 7 = 2

I hope this helps!

Answer:

m=4.5

Step-by-step explanation: First, add 7 to each  side and you get 9=2m. divide each side by 2 and you get m=4.5

Answer:

unbiased nonrandom

Step-by-step explanation:

By picking only people from 1st period they are not random.

They haven't said anything that would make these people biased.

Answer:

unbiased nonrandom

Step-by-step explanation:

Answer:

if you want simple answer then check second picture

Step-by-step explanation:

,

Answer:

w^18

Step-by-step explanation:

exponents are multiplied when there is a parenthesis between them

Answer:

[tex]w^{18}[/tex]

Step-by-step explanation:

the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.

Answer:

1/3 < 3 < 33/10 < 3.337 < 3.11

Step-by-step explanation:

[tex]\huge \sf༆ Answer ༄[/tex]

According to given figure ~

Area of whole is equal to :

And,

Area of Triangle :

Area of Rectangle :

Therefore, the Area of whole figure is ~

So, the Correct choice is ~ A

Answer: x ≥ 9

Step-by-step explanation: -1/3x + 5 ≤ 2

                                              -1/3x + 5 -5 ≤ 2 - 5

                                              -1/3x ≤ -3

                                               -1/3x/(-1/3) ≤ -3/(-1/3)

                                               x ≤ -9

                                               x  ≥ 9

Answer: Inequality form X >- 9

Step-by-step explanation:

isolte the varible by dividing each side by factors that dont cotain the variable

Answer:

2/5

Step-by-step explanation:

1) rearrange the equation in the form y=mx+c where m is the gradient and y is the y intercept

2x-5y-8=0

add 5y to both sides

2x-8=5y

divide 5 on both sides

2/5x - 8/5 = y

overall equation is y=2/5x-8/5

the gradient is 2/5

Answer:

4320 miles

Step-by-step explanation:

distance= speed× time

60 ×72= 4320

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

= [tex]\frac{21-1}{5}[/tex] - 1

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: Equation 1: Y=2x+1

Step-by-step explanation: