The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?

120 be cause it is not a straight line

0.3125 is the correct answer

ANSWER

[tex] \frac{5}{16} [/tex]

bushels

EXPLANATION

It was given that,

Irma picked

[tex] \frac{5}{8} [/tex]

of a bushel.

If Mathew picked half as many bushels, then Mathew has:

[tex] \frac{1}{2} \times \frac{5}{8} = \frac{5}{16} [/tex]

Hence, Mathew has

[tex] \frac{5}{16} [/tex]

bushels.

Three methods to solve the equation are Division as Repeated Subtraction,Using Fraction Division Formula,Using Decimal Conversion.

I'll approach this problem using three different methods:

Method 1: Division as Repeated Subtraction

Dividing [tex]\( \frac{1}{3} \)[/tex] by 5 means finding out how many times 5 can be subtracted from 1/3

[tex]\( \frac{1}{3} - 5 = - \frac{14}{3} \)[/tex]

So, you can subtract 5 from 1/3 approximately 0 times with a remainder of [tex]\( - \frac{14}{3} \).[/tex]

Method 2: Using Fraction Division Formula

To divide a fraction by a number, you can multiply the fraction by the reciprocal of the number.

[tex]\( \frac{1}{3} \div 5 = \frac{1}{3} \times \frac{1}{5} \)[/tex]

[tex]\( \frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5} \)[/tex]

[tex]\( \frac{1}{3} \div 5 = \frac{1}{15} \)[/tex]

So, [tex]\( \frac{1}{3} \div 5 = \frac{1}{15} \).[/tex]

Method 3: Using Decimal Conversion

Converting 1/3 to a decimal gives [tex]\( 0.3333... \)[/tex]

Then, dividing 0.333 by 5 gives:

[tex]\( 0.3333... \div 5 \approx 0.0667 \)[/tex]

So, [tex]\( \frac{1}{3} \div 5 \approx 0.0667 \).[/tex]

These are three different ways to solve the problem [tex]\( \frac{1}{3} \div 5 \).[/tex]

Answer:

If you are looking for what the total is at the end of the week, it is $270.

Step-by-step explanation:

Subtract the values where it says withdraw, and add the values where it says deposit.

Answer:

Answer: $780.00

Step-by-step explanation:

The amount of money that he earns each week will be $ 780. Then the correct option is D.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Trent earns $19.50 per hour for his 40 hours of work for a week.

Then the amount of money that he earns each week will be

→ $ 19.50 × 40

→ $ 780

If he earns $19.50 per hour. Then the amount of money that he earns each week will be $ 780.

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Answer:

B. line segment

because without the point A it would be a ray

or without the arrow after point a it would be a line

The figure a(n) represents a line segment Option(B)

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane.

In geometry, a ray is usually taken as a half-infinite line (also known as a half-line) with one of the two points and. taken to be at infinity.

A line segment is bounded by two distinct points on a line. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

The given figure is a line segment as it has two end points a and b and also it is bounded by the similar two extended point .

Therefore a(n) is a line segment, Option (B.)

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Answer: 2 pizzas with 2.50 left

Step-by-step explanation: First you subtract the 3.50 from the 20, that'll leave you with 16.50 and then from there you subtract 7 from it until you can't anymore

Division is a method of distributing a group of things into equal parts.

According to the given question, we have the following data:

So, first of all, we have to pay the delivery charge whether we are ordering a single or bulk. That's why we have to deduct that from the total Sebastian has.

$20 - $3.50 = $16.50

So, now Sebastian has $16.50.

Now, each pizza is for $7.

So, it's clear now that, Sebastian has to divide his total amount by the price of each pizza to get how many pizzas he can order.

Number of pizzas Sebastian can order = (Total amount Sebastian has / price of each pizza)

= ($16.50 / $7)

= 2.36

But wait how can he order a fraction of pizzas so we have to take 2 as our answer.

Therefore, Sebastian could order a total of 2 pizzas.

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Answer:

n < 6

Step-by-step explanation:

n/-3 + 8 > 6

Subtract 8 from each side

n/-3 + 8 -8> 6-8

n/-3 > -2

Multiply each side by -3 to isolate n.  Remember to flip the inequality since we are multiplying by a negative

n/-3 * -3 < -2 *-3

n < 6

Answer:

[tex]0.069\ kg[/tex]

Step-by-step explanation:

we know that

1 kg=1,000 g

so

using proportion

Find out how many kilograms are 69 grams

Let

x -----> the weight in kg

[tex]\frac{1}{1,000}\frac{kg}{g} =\frac{x}{69}\frac{kg}{g}\\\\x=\frac{69}{1,000}\\\\x=0.069\ kg[/tex]

69 grams is equal to 0.069 kilograms.

To find how many kilograms 15 crackers weighing 69 grams is, convert 69 grams to kilograms by recognizing that there are 1000 grams in 1 kilogram.

15 crackers weigh 69 grams. To find how many kilograms this is, we need to convert grams to kilograms. There are 1000 grams in 1 kilogram. Therefore, 69 grams is equal to 0.069 kilograms.

Answer:

(x, y) = (1, 1)

Step-by-step explanation:

[tex] -27x + 6y = -21 [/tex] --- (1)

[tex] -12x +3y = -9 [/tex] --- (2)

Multiplying (2) by -2 to get:

[tex] 24 x - 6 y = 1 8 [/tex] --- (3)

Adding (1) and (3) to get:

[tex]-27x + 6y = -21[/tex]

[tex]24x-6y=18[/tex]

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

[tex]-3x=-3[/tex]

x = 1

Finding y:

[tex]-12(1) +3y = -9[/tex]

[tex]3y=-9+12[/tex]

[tex]3y=3[/tex]

y = 1

Therefore, (x, y) = (1, 1).

(X,Y)= (1,1)

Explanation:

Answer:

Work:

first you want to change 1/2 so the denominator is a 4

1/2 is equivalent to 2/4

now you have -1 1/4 + 2/4

then you want to get rid of the whole number and make -1 1/4 into a fraction

-1 is -4/4 so add that to the 1/4

now you have -5/4 + 2/4

you can add that now easily and get -3/4

Answer:

-3/4 aka C                                                  hope this helped

Answer:

the diameter, d, must be 6

Step-by-step explanation:

Formula for circumference of a circle with diameter d is C = πd.  

If C = 6π = πd, then the diameter, d, must be 6.

it will be 31,995 but we have to estimate yo the nearest cent so 10 cents

The answer is A because the input is x and the out put is y so that would make it 9.

45, it is the highest number in the range

i don't need it but brainliest it is appreciated

Answer:

(0 , 1)

Step-by-step explanation:

given y = f(x), then

y = f(x) + c is a vertical translation

• If c > 0 then vertical shift up of a units

• If c < 0 then vertical shift down of a units

here c = - 2, hence shift down of f(x) by 2 units

(0, 3) → (0, 3 - 2 ) = (0, 1)

Answer:

I just took the test the answer is: None

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.  Replace F(x) with y.

2.  Interchange x and y in  y = 2x + 1:  x = 2y + 1

3.  Solve this result for y:  2y = x - 1, or y = (x - 1)/2

4.  Replace y with:

   -1

F     (x):

   -1             x - 1

F     (x) = -----------

                     2

Answer:

f-1(x) = (x - 1)/2.

Step-by-step explanation:

Let f(x) = y

y = 2x + 1

2x = y - 1

x = (y - 1)/2

Now replace x by the inverse of f(x) ( that is f-1(x) ) and y by x:

f-1(x) = (x - 1)/2.

Answer:

Jon

Step-by-step explanation:

Jon: 3/5 (divide)

=0.6

Pasha: 0.65

Marie: 7/10 (divide)

=0.7

Karen: 0.62

After analyzing the values, of the smallest amount belongs to Jon that is 3/5 or $0.6.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data provided in the question,

Jon = 3/5 = $0.6

Pasha = $0.65

Marie = 7/10 = $0.7

Karen = $0.62

Compare all the values, Jon has got the smallest amount.

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The cat weighs 14.375 pounds (or 230 ounces even).

Hope this helps!

Answer:

[tex]\large\boxed{h>2\ \vee\ h<1\to h\in(-\infty,\ 1)\ \cup\ (2,\ \infty)}[/tex]

Step-by-step explanation:

[tex]|2h-3|>1\iff2h-3>1\ \vee\ 2h-3<-1\qquad\text{add 3 to both sides}\\\\2h>4\ \vee\ 2h<2\qquad\text{divide both sides by 2}\\\\h>2\ \vee\ h<1\to h\in(-\infty,\ 1)\ \cup\ (2,\ \infty)[/tex]

The solution of the absolute value inequality |2h-3| > 1 is h > 2 or h < 1. Two cases are considered based on whether the expression inside the absolute value is greater than 1 or less than -1.

To solve the inequality |2h-3| > 1, you need to consider two cases because an absolute value inequality represents two separate inequalities.

Case 1: The expression inside the absolute value (2h-3) is greater than 1. This gives us the inequality 2h - 3 > 1. Solving for h, we get h > 2.

Case 2: The expression inside the absolute value (2h-3) is less than -1. This gives us the inequality 2h - 3 < -1. Solving for h, we get h < 1.

Thus, the solution of the absolute value inequality is h > 2 or h < 1.

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Answer:

Step-by-step explanation:

first solve for x

x-16=8

add 16 to both sides to isolate x, you now have:

x=8+16

x=24

soooo...now you have to plug in x into the other equation.

3(x+7) turns into 3(24+7)

so now we solve.

3(24+7)

3 x 31

93=x

Hope this was helpful!

The value of x in the equation x-16=8 is found to be 24. Substituting x into the expression 3(x+7) yields a final result of 93.

The equation given in this question is: x-16=8. To find the value of x, add 16 to both sides of the equation. So, x = 8 + 16, which simplifies to x = 24.

Next, to find the value of 3(x+7), you first replace the x with the value we have just found. That gives you 3(24 + 7) which equals 3(31). Multiplying this out gives the final answer, 3(31) = 93.

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the answer is a concave decagon

Answer:

I believe this is a "Concave Decagon."

Step-by-step explanation:

A Decagon consists of 10 sides. This abstract shape has 10 sides, so this shape is a Decagon.

Hope this helps! :)

Answer:

63.36 years

Step-by-step explanation:

This is a compound interest problem and the following information has been provided;

Principal, P = 1200

Interest rate, r = 4%

Accumulated amount, A = 14400

We are required to determine the number of years for the principal to accumulate to the given amount. We use the compound interest formula;

[tex]A=P(1+r)^{n}[/tex]

We substitute the given values into the formula and solve for n;

[tex]14400=1200(1+\frac{4}{100})^{n}\\12=(1.04)^{n}\\[/tex]

The next step is to introduce natural logarithms;

[tex]ln12=nln(1.04)\\n=\frac{ln12}{ln1.04}\\n=63.36[/tex]

Thomas has invested $1,200 at a 4% interest rate. Using the formula for compound interest and solving for time, it will take approximately 29.1 years for his account balance to reach $14,400.

Thomas has invested an amount of $1,200 into an account with a 4% interest rate. This type of problem involves the use of the formula for compound interest. The general formula for compound interest is: A = P(1 + r/n)^(nt), where:

In this case, we assume the interest is compounded annually, so n = 1. We rearrange the formula to solve for t, giving us the formula t = log(A/P) / log(1 + r).

Substituting the given values into the formula, we get t = log(14400/1200) / log(1 + 0.04), which gives a result of approximately 29.1 years. So, it will take around 29.1 years for the account balance to reach $14,400.

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Answer:

C, (x - 4)(x - 2)

Step-by-step explanation:

to factor x² - 6x + 8, you need to find 2 numbers that multiplied together are equal to 8 and added together that are equal to -6

we can already eliminate answers B and D, since B added together does not equal -6, and D multiplied together does not equal 8

we are left with choices A and C

in order to get a positive 8 through multiplication, we need either two positive numbers, or two negative numbers

to get a -6 through addition, we need negative numbers

lets test (x - 4)(x- 2) to see if this works in the equation, we can use FOIL to expand the equation and we get:

x² -4x - 2x + 8

x² -6x + 8

our answer would be C, (x-4)(x-2)

The factored form of x^2 - 6x + 8 is (x - 2)(x - 4), which is option c.

To factor the expression x^2-6x+8 into its factored form, we are looking for two binomials (x - a)(x - b) such that when multiplied out, the result will be our original quadratic expression. The factors need to multiply to give the constant term 8, and add up to give the middle term -6. Starting with the constant term, the pairs of factors of 8 are (1, 8), (2, 4), and (-2, -4). We need to find the pair that adds up to -6, which is (-2, -4).

So, the factored form of x^2-6x+8 is (x - 2)(x - 4), and the correct choice here is option c.) (x - 4)(x - 2).

Answer:

n = 2.8

Step-by-step explanation:

We need to solve the equation 5n+7 =21 to find the value of n.

Adding -7 on both sides

5n +7 -7 = 21 -7

5n = 14

Dividing both sides by 5

5n/5 = 14/5

n = 14/5

n = 2.8

Let [tex]x[/tex] be the amount of the 35% solution that will be added. The resulting solution will have a total volume of [tex]15+x[/tex], 38% of which is alcohol. 40% of 15 is 6, so the 40% solution contributes 6 oz of alcohol. So

[tex]0.35x+6=0.38(15+x)\implies x=10[/tex]

oz of the 35% solution need to be added.

Answer:

solutions to f(x)=g(x) are x=-1 and x=8

Step-by-step explanation:

The minimum point of the parabola will be found at ...

x = -b/(2a) . . . . . where a, b, c are the coefficients of ax²+bx+c

For g(x) = x² -6x -7, the minimum will be at x=-(-6)/(2·1) = 3. The minimum value is ...

g(3) = 3² -6·3 -7 = -16

so the vertex (minimum point) you want to plot is (3, -16). Since the coefficient of x² is 1, there is no vertical scaling, so when the value of x differs from 3 by 1 unit, the value of g(x) will be 1² = 1 unit higher. That is, g(4) = -15, so (4, -15) is another point on the parabola.

___

I find it convenient to use a graphing calculator for the whole problem.

Answer:

7,539.14

Step-by-step explanation:

To solve for area, square the radius (radius times radius) then multiply by 3.14.

A=pir^2

The diameter is 98mm

pi= 3.14

r= 49^2=

49 X49= 2,401

2,402 X 3,14= 7,539.14

Answer:

A = 7539.14 mm^2

Step-by-step explanation:

Area of a circle is given by

A = pi * r^2

We need to know the radius

r = d/2

r = 98/2

r = 49 mm

The radius is 49 mm and pi = 3.14

A = 3.14 * (49)^2

A = 7539.14 mm^2

Answer:

Step-by-step explanation:

D

Answer:

Option D

Step-by-step explanation:

Larry scored x points

Ervin scores half as many points in a game as Larry

We need to make an expression using the given statement

For larry points we use the variable x.

Half as many points means 1/2 as larry

Ervin = half as larry

Ervin scored [tex]\frac{1}{2}[/tex] of larry

Ervin scored [tex]\frac{1}{2}[/tex] x