What is the 10th term of the sequence -4, -1, 2, 5

Answer:

-2/3

Step-by-step explanation:

m=(6-4)/(-2-1)=2/-3=-2/3

Answer:

[tex]\large\boxed{m=-\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (1, 4) and (-2, 6).

Substitute:

[tex]m=\dfrac{6-4}{-2-1}=\dfrac{2}{-3}=-\dfrac{2}{3}}[/tex]

Answer:

The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

Step-by-step explanation:

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

or, [tex]\frac{1}{5}  = \frac{m}{32,000}  \implies m = \frac{32,000}{5}  = 6,400[/tex]

⇒ m = 6,400

Hence, the factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

Answer:

6,400

Step-by-step explanation

if im late then my bad, how ya'll day going? and Byeee, i'm at school ;)

Answer:

v(x) = x(22 - 2x)(28 - 2x)

Step-by-step explanation:

The length of the box = 28 - 2x inches,

The width = 22 - 2x inches and the height  = x inches.

v(x) = x * width * length.

The volume of the open top box is [tex]V(x) = (28 - 2x)(22 - 2x)(x)[/tex] cubic inches

The volume of the box is V = (length)(width)(height).

Let the cutout side length be [tex]x[/tex] inch,

We are to cut out [tex]x[/tex] by

So, the length of the box is [tex]28 - 2x[/tex] inch

the width of the box is [tex]22 - 2x[/tex] inch and

the height of the box is [tex]x[/tex] inch

Now, substituting the values in the volume formula, we get

[tex]V(x) = (28 - 2x)(22 - 2x)(x)[/tex] cubic inches

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Answer:

Step-by-step explanation:

The square has 100 smaller parts.

92 of them are shaded, that means 92% of the square is shaded.

Answer:

This graph does not represent a function.

Step-by-step explanation:

This graph does not pass the vertical line test. The vertical line test states that if a vertical line drawn intersects the graph of the relation more than once, then the relation is a NOT a function.

Answer:

The slope of the given line 1 is  -4/5.

The slope of the given line 2 is  0.

The line 2 has a greater slope then line 1.

Step-by-step explanation:

The slope of a line with points (x1,y1) and (x2,y2) is given as:

[tex]m = \frac{y_2- y_1}{x_2-x_1}[/tex]

Now, Here the, points of the line 1 are A (-2,7) and B (3,3)

So, here, the slope of line AB  is [tex]m = \frac{3 -7}{3-(-2)}  = \frac{-4}{3 +2} =   \frac{-4}{5}[/tex]

Hence, the slope of the given line 1 is  -4/5.

Now, Here the, points of the line 2 are P (5,1) and Q (9,1)

So, here, the slope of line PQ  is [tex]m = \frac{1-1}{9-5}  = \frac{0}{4} =   0[/tex]

Hence, the slope of the given line 2 is  0.

Now, as we can see  0    >  ( -4 / 5)

So, the line 2 has a greater slope then line 1.

Answer:

a doesn't equal 0

Step-by-step explanation:

State under which condition the original and the simplified expressions are equivalent

Answer:

13/6

Step-by-step explanation:

it can also be written as a fraction

Answer:

a.)  x= 11

d.) -7

g.) -5

Step-by-step explanation:

a.) x+1 = 4*3

x=12-1

d.)3x+1=-4*5

3x+1=-20

x=-7

g.)11x-1=-8*7

11x-1=-56

11x=-56+1

x=-5

Answer:

Step-by-step explanation:

[tex]a)\\\dfrac{x+1}{3}=4\\\\\dfrac{x+1}{3}=\dfrac{4}{1}\qquad\text{cross multiply}\\\\(x+1)(1)=(3)(4)\\\\x+1=12\qquad\text{subtract 1 from both sides}\\\\x+1-1=12-1\\\\\boxed{x=11}[/tex]

[tex]d)\\\\\dfrac{3x+1}{4}=-5\\\\\dfrac{3x+1}{4}=\dfrac{-5}{1}\qquad\text{cross multiply}\\\\(3x+1)(1)=(4)(-5)\\\\3x+1=-20\qquad\text{subtract 1 from both sides}\\\\3x+1-1=-20-1\\\\3x=-21\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{-21}{3}\\\\\boxed{x=-7}[/tex]

[tex]g)\\\dfrac{11x-1}{8}=-7\\\\\dfrac{11x-1}{8}=\dfrac{-7}{1}\qquad\text{cross multiply}\\\\(11x-1)(1)=(8)(-7)\\\\11x-1=-56\qquad\text{add 1 to both sides}\\\\11x-1+1=-56+1\\\\11x=-55\qquad\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{-55}{11}\\\\\boxed{x=-5}[/tex]

There should be a typo in the question: the correct formula would be

[tex]X\cap(Y\cup Z)=(X\cap Y)\cup (X\cap Z)[/tex]

Let's compute [tex]X\cap (Y\cup Z)[/tex] first. We have

[tex](Y\cup Z)=\{1, 4, 5, 6, 7, 8, 9\}[/tex]

If we intersect this set with X, we have

[tex]X\cap (Y\cup Z) = \{5, 8, 9\}[/tex]

So, that would be the left hand side. For the right hand side, we have

[tex]X\cap Y = \{8\},\quad X\cap Z = \{5,9\}[/tex]

And their union is again [tex]\{5,8,9\}[/tex]

Final answer:

The intersection of two sets can be proven using a membership table for the given sets X, Y, and Z.

Explanation:

The intersection of two sets, written as AnB, is a set consisting of all elements that are both in A and B. We can use a membership table to prove the following equation: X ∩ (Y ∪ Z) = (X ∩ Y) ∪ (Y ∩ Z).

Answer:

x=3

Step-by-step explanation:

we move the 1 to the other side so

it goes from -1 to a positive 1 then add it to the 14 then you will have

5x=15

to remove the x divided 5 on both sides and you get x=3

The equivalent value of the equation is x = 3

Given data ,

Let the equation be represented as A

Now , the value of A is

5x - 1 = 14​

So , the left hand side of the equation is equated to the right hand side by the value of ( 14 )

On simplifying the expression , we get

5x - 1 = 14​

Combining the like terms in the expression , we get

Adding 1 on both sides , we get

5x = 15

Divide by 5 on both sides , we get

x = 15/5

x = 3

Therefore , the value of x = 3

Hence , the expression is x = 3

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Answer:

3(x - 3)²

Step-by-step explanation:

Given

3x² - 18x + 27 ← factor out 3 from each term

= 3(x² - 6x + 9)

= 3(x - 3)² ← in factored form

3 x 3 x 3 x 3 x 23 = 1,863. It can also be written in exponential form as 3 to the power of four times 23.

Answer:

Step-by-step explanation:

[tex]\begin{array}{c|cc}1863&3\\621&3\\207&3\\69&3\\23&23\\1\end{array}[/tex]

If there is a 30% chance of it raining, then that means there is a 70% chance of it not raining.

100%-30%=70%

Answer: 70%

Step-by-step explanation: In terms of probability, 100% is the maximum which means something is certain. There are some occasions where it can be higher than 100% like dealing with percent increase or decrease, but in this case, we're talking about 100%.

In this problem, we're given that the probability of rain for tomorrow is 30% and we're asked to find the probability that it will not rain.

Since 100% will be the maximum when dealing with probability, we will subtract the chance it will rain tomorrow which is 30% from 100%.

100% - 30% = 70%.

Therefore, the probability/chance it will not rain is 70% which means it's likely it will not rain.

Answer:

z = 14

Step-by-step explanation:

Solve for z:

(4 z)/7 - 15 = -7

Put each term in (4 z)/7 - 15 over the common denominator 7: (4 z)/7 - 15 = (4 z)/7 - 105/7:

(4 z)/7 - 105/7 = -7

(4 z)/7 - 105/7 = (4 z - 105)/7:

1/7 (4 z - 105) = -7

Multiply both sides of (4 z - 105)/7 = -7 by 7:

(7 (4 z - 105))/7 = -7×7

(7 (4 z - 105))/7 = 7/7×(4 z - 105) = 4 z - 105:

4 z - 105 = -7×7

7 (-7) = -49:

4 z - 105 = -49

Add 105 to both sides:

4 z + (105 - 105) = 105 - 49

105 - 105 = 0:

4 z = 105 - 49

105 - 49 = 56:

4 z = 56

Divide both sides of 4 z = 56 by 4:

(4 z)/4 = 56/4

4/4 = 1:

z = 56/4

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

Answer:  z = 14

The solution is 16.5 cups

The number of cups of flour for 22 small pizzas is 16.5 cups and Bill does not have enough flour for the party

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of cups of flour required be = A

Now , the equation will be

The number of pizza's Bill has for the party = 22 pizzas

The number of cups of flour Bill has = 16 cups

The number of cups of flour required for 1 pizza = 3/4 cups of flour

So , The total number of cups of flour for 22 pizzas = 22 x number of cups of flour required for 1 pizza

Substituting the values in the equation , we get

The total number of cups of flour for 22 pizzas = 22 x ( 3/4 )

The total number of cups of flour for 22 pizzas = 16.5 cups of flour

So , the number of cups of flour required > number of cups of flour Bill has

Therefore , the value of A is 16.5 cups

Hence , Bill does not have enough flour for the party

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Answer:

There are 24 math instructors and 33 english instructors.

Step-by-step explanation:

Let x be the number of math instructors and y be the english instructors. Since the college has 9 more English instructors than math instructors, set up the equation like this: x+(x+9)=57 where x+y=57, you can see that y=x+9.

Now, it's time to solve for x and y.

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

Answer:

24 math instructors & 33 english instructors

Step-by-step explanation:

x+(x+9)=57

2x+9=57

2x=57-9

2x=48

x=48/2=24

y=24+9=33

x=24, y=33

The answer would be 20.125 or 161/8, because to divide numbers, it is like the fraction 644/32. For example, if you have 644 mcord.weebly.com sites or bananas and you need to equally divide them into 34 groups, their would be 20.125 mcord.weebly.com sites or bananas in each group.

Answer:

1:3

Step-by-step explanation:

Sugar : Flour

2 : 6  (substitute the numbers of cups)

1 : 3    (simplify by reducing. divide both sides by 2)

The ratio is 1:3.

Answer:

1:3

Step-by-step explanation:

2:6[sugar is to flour]

1:3[to simplify divide both sides by two]

Answer:

(a) y = -2 x -2

(b)  y = -2 x + 1

(c)  y = -2 x + 3

Step-by-step explanation:

The given lines r , s and t are parallel.

⇒ Slope of line r = Slope of line s = Slope of line t = (-2)

The point slope equation for any line is given as

y = m x + C : m = slope pf line, C is y - intercept.

Y intercept is a point on line when x = 0.

Now for the line r, slope = (-2) and y intercept = (-2)

So, the equation is given as y = -2x -2

Now for the line s, slope = (-2) and y intercept = (1)

So, the equation is given as y = -2 x + 1

Now for the line t, slope = (-2) and y intercept = (3)

So, the equation is given as y = -2 x + 3

Answer:

The answer is b = 1/24.

Step-by-step explanation:

Given:

25+11/12b=47.

Now, to solve the equation to get the value of b:

[tex]25+\frac{11}{12b}=47[/tex]

Subtracting both sides with 25 we get:

[tex]\frac{11}{12b}=22[/tex]

Multiplying both sides by 12b we get:

[tex]11=264b[/tex]

Dividing both sides by 264 we get:

[tex]\frac{1}{24}=b[/tex]

Therefore, the answer is b = 1/24.

conservation imporoper fraction to mixed number answer

Answer:

6/12

Step-by-step explanation:

A fourth of 8 is 2, so there would be 6/12 of the tub of frosting left.

Answer:

5/12

Step-by-step explanation:

8/12=2/3

2/3-1/4=8/12-3/12=5/12

Answer:2

Step-by-step explanation:if she deposits 10 dollars every week she would be adding 10 dollars which means we have to multiply 10 by however many weeks she saves

Sarah's weekly deposits after h weeks can be calculated using the linear equation D = 200 + 10h. This equation includes her starting balance of $200 and adds $10 for each week.

The subject of this question is Mathematics, specifically focusing on the concept of linear equations.

The correct formula to show Sarah's deposits at the end of h weeks would be (3) D = 200 + 10h. This formula works by establishing 200 as her starting amount (her current bank balance), and adding $10 for each week (h).

For instance, if h was 5 weeks, Sarah would have D = 200 + 10 * 5 = 200 + 50 = $250 in her bank account. This demonstrates how the formula allows you to calculate her weekly deposits effectively.

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Answer:

$36.45

Step-by-step explanation:

81 - 55%

Convert percentage to decimals

55% = 0.55

81 - 55%

= 81 - 0.55(81)    <= 81 reduced by 55% of 81

= 81 - 44.55   <= simplify and solve

= 36.45

Answer: There are 16 cups in every gallon so we could divide 152 by 16 and get our number of gallons which would give us 9.63 or a little over 9 and a half gallons.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

In military time format, first two digits are in hours. We know that, on a digital clock, the first two digits always shows between 01 to 24.

So, there is no probability that the first two digits will show more than 25.

As there is no probability, the probability will be zero or 0. Because probability of any incident is whether 0 or 1; where 1 is for certain event.  

Answer: C

Step-by-step explanation:

The answer is C because it says 360 and 300. If you do a problem solve for that one on a peace of paper I think it would be 16.7%

Answer:

Step-by-step explanation:

Change in number = number visited in 1st week - number visited in 2nd week

= 360-300 = 60

So percentage change in number= 60/360×100=16.67

The greatest possible length of each  piece is 16 inches

Latisha has two pieces of ribbon. One piece of ribbon is 48 inches and  the other is 80 inches

Ribbon is to be cut into pieces of equal length

To find the greatest possible length of each piece, we have to find greatest common divisor of 48 and 80

The greatest common factor, or GCF, is the greatest factor that divides two numbers

Steps to find G.C.F of 48 and 80

1) Find the prime factorization of 48

[tex]48 = 2 \times 2 \times 2 \times 2 \times 3[/tex]

2) Find the prime factorization of 80

[tex]80 = 2 \times 2 \times 2 \times 2 \times 5[/tex]

3) To find the GCF, multiply all the prime factors common to both numbers:

Therefore, [tex]GCF = 2 \times 2 \times 2 \times 2 = 16[/tex]

So, 16 inches is the greatest possible length to cut so that every piece is of equal length.