At a football game, 43% were supporting the visiting team. If total number of people attending the game was 2800, how many people were supporters of the home team?Help with the word problem.

Answer:

Sure! Here's a drawing of an abacus illustrating the expression 4×8×8×8×8+2×8×8+4×8:

[Abacus Drawing]

Answer:

A) Each of the smaller donations is $20.

B) The larger donation is greater than the smaller donations by $15.

Step-by-step explanation:

4+4+7 is equal to 15, and divide 75 by 15 to get $5 per part. Multiply 4 by 5 to get $20 for a smaller donation, and 7 by 5 to get $35 for the larger donation. Hope this helped :)

Answer:

Smaller donations each cost $20

The bigger donation is $15 more than the smaller ones.

Step-by-step explanation:

Let 4x be defined as the amount of the smaller donation, and let 7x be defined as the larger amount of the donation. We can then set up an equation:

4x+4x+7x = 75

15x = 75

x = 5

We can now plugin 5 for x to solve for the smaller donation and the larger donation:

Smaller donation = 4*5 = 20

Bigger donation = 7*5 = 35

Now, to find how much greater the bigger donation is, we just subtract 35 from 20, which is 15.

I hope this helped.

Answer:d and a

Step-by-step explanation:

Answer:

Inverse Property of Addition

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

To do this you would just plug in the values into the variables so you get \(|-5^{2} +3^{2} |\) and when you simplify you get |25+9| which when you add together you get |34| and the absolute value is just 34 since it is not negative.

If m = -5 and n = 3, then the value of the expression |m² + n²| will be 34.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The expression is given below.

⇒ |m² + n²|

Put m = -5 and n = 3, then the value of the expression will be

⇒ |(-5)² + 3²|

⇒ |25 + 9|

⇒ |34|

⇒ 34

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Answer:

Step-by-step explanation:

(x+3)^2=49

x+3=√(49)

x+3=√(7^2)

x+3=7

x+3-3=7-3

x+3=-√(49)

x+3=-7

x+3-3=-7-3

x = 4,-10

Answer:

20x^9y^7.

Step-by-step explanation:

(5xy^2) (4x^8y^5)

= 5*4 x*x*8 y^2  *y^5

=  20x^9y^7.

original equation:

\((5xy^2)(4x^8y^5)\)

when multiplying exponents, simply add the exponents of like bases.

\((5)(4)=20\\\\(x)(x^8)=x^9\\\\(y^2)(y^5)=y^7\)

final answer

\((5xy^2)(4x^8y^5)=20x^9y^7\)

Answer:

x

2

−

8

x

−

17

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

1

,

b

=

−

8

, and

c

=

−

17

into the quadratic formula and solve for

x

.

8

±

√

(

−

8

)

2

−

4

⋅

(

1

⋅

−

17

)

2

⋅

1

Simplify.

Tap for more steps...

x

=

4

±

√

33

The result can be shown in multiple forms.

Exact Form:

x

=

4

±

√

33

Decimal Form:

x

=

9.74456264

…

,

−

1.74456264

…

Step-by-step explanation:

The solution the quadratic function f(x) = x^2 + 8x + 17 is equal to 4  ±  √  33  

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that the quadratic function f(x) = x² + 8x + 17 is equal to zero when x - a + bi

f(x) = x² + 8x + 17  

x² + 8x + 17=  0  

Now Use the quadratic formula to find the solutions;

x =   −  b  ±  √  b²  −  4 ( a c  )  /2  

Then Substitute the values  a  =  1  ,  b  =  −  8  , and  c  =  −  17  into the quadratic formula

Now solve for  x = 8  ±  √  (  −  8  )² −  4 (  1  ⋅  −  17  ) /2  ⋅

Simplify.;

x  =  4  ±  √  33  

Hence, the solution the quadratic function f(x) = x^2 + 8x + 17 is equal to 4  ±  √  33  

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Answer:

x=8

Step-by-step explanation:

<3

Answer:

{8,4}     can you mark as brainliest

Answer:

1050

Step-by-step explanation:

I'm pretty positive it would be 1050 by multiplying 50 and 20 and adding 50

The total number of seats in the auditorium are 2225.

Given is that an auditorium has 50 rows of seats. The first row has 20 seats, the second row has 21 seats, the third row has 22 seats.

We can write the sequence as -

20, 21, 22, 23, 24, .......,

It is a arithmetic sequence. We can write the total number of seats in the auditorium as the sum of the terms of the sequence. We can write -

S{n} = (50/2)(2 x 20 + 49 x 1)

S{n} = 25(40 + 49)

S{n} = 25 x 89

S{n} = 2225

Therefore, the total number of seats in the auditorium are 2225.

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Answer:

x^2+12x=-11

Step-by-step explanation:

Answer:

(-1, 12) and (-11, 132)

Step-by-step explanation:

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation:

Answer:

it would be 70months when rounded up.

Step-by-step explanation:

if not then 69months 7days

The solution of the system of equations is given by the ordered pair (10, 85).

The solution tells us that the height of both Drone A and Drone B would be the same after 10 minutes.

In this scenario, heights of drones are represented by the following system of equations:

y = 8x + 5     .......equation 1.

y = 6x + 25    .......equation 2.

where:

By equating equation 1 and equation 2, number of minutes since the drones were released can be calculated as follows;

8x + 5 = 6x + 25

8x - 6x = 25 - 5

2x = 20

x = 20/2

x = 10 minutes.

Next, we would determine the height when x = 10 minutes:

y = 8(10) + 5

y = 80 + 5

y = 85 meters.

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Answer:

congruent

Step-by-step explanation:

The opposite sides of a parallelogram are congruent.

We can also determine this from the markings in the diagram.

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Answer:

7 x (x+3) =2

Step-by-step explanation:

hi, so in order to get the answer we need to find the key words, in this case ‘times’ and ‘sum’ is telling us multiplication and addition

so in the second part, its telling us to use x, the variable as the number that wasn’t identified which is filling the space for us.

and once we’ve figured all those little clues we have our answer

so we’re going to have 7 first, then multiplied by x+3 which equals 2

hope u got it!!.

Answer:

The slope is 35

Step-by-step explanation:

Given

\(One\ Time\ Fee = \$60\)

\(Hourly\ Rate = \$35\)

Required

Determine the slope

First, we need to determine the equation.

Let y represents the total charges and x represents the number of hours.

y is calculated using;

\(y = One\ Time\ Fee + Hourly\ Rate * x\)

This gives:

\(y = 60 + 35* x\)

\(y = 60 + 35x\)

Reorder

\(y =35x + 60\)

The general form of an equation is:

\(y =mx + b\)

Where m represents the slope

By comparison of \(y =mx + b\) and \(y =35x + 60\)

\(m = 35\)

Hence, the slope is 35

Answer:

7. 4^2 = 6

8. 7^2 = 49

9. 6^4 =1296

10. 1^2 = 1

11. 5^3 =125

12. 1^3 =1

Step-by-step explanation:

Answer:

(-6x -3y ) -x-y

-6x-x-3y-y

5x +2y

Answer:

The answer is D. An Exponential Function.

Step-by-step explanation:

So the table is setup as;

x :   0     1      2     3      4

f(x): 3    7     29    87    199

If you plot the points on the coordinate plane, the value of x increases, and value of y increases .

It is not linear, because slope between two points is not the same, so you can rule that one out.

It´s not quadratic or cubic, because it is not intercepting the x axis.

So, it can only be D, an exponential function since we ruled out every other option.

I hope this helps :))

Answer:

Dialation Point OA(6 , 9)Dialation Point OB(12 , 15)

Step-by-step explanation:

Answer:

The bowl's diameter is 35.8 cm

Step-by-step explanation:

Recall that 1 liter = 1000 cubic cm ad have in mind that in order to get a diameter in cm, we would need to write the volume of the bowl in cubic cm.

if 6 liters is 1/4 of the bowl, then 4 times 6 liters must fill the bowl. That is: the volume of the sphere is 24 liters.

24 liters in cubic cm is: 24000 cubic cm

now, we need to use the formula for the volume of a sphere of radius R:

\(Vol=\frac{4}{3} \pi\,R^3\\24000=\frac{4}{3} \pi\,R^3\\R^3=\frac{24000\,(3)}{4\,\pi} \\R=\sqrt[3]{\frac{24000\,(3)}{4\,\pi} } \\R\approx 17.894\,\,cm\)

therefore, the diameter of the bowl is twice this radius value:

\(Diameter\approx 17.894\,* 2=35.788\,\,cm\)

this value rounded to 3 significant figures is: 35.8 cm

Step-by-step explanation:

3528 ÷ 30 = 117.6

He should travel 117.6 m in one minute

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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There are 3 rectangles and 2 triangles in the prism

rectangles: (12 × 10) + (9 × 10) + (15 × 10)

triangles: 2 × (1/2 × 9 × 12) = 9 × 12

Add them all up and you get the answer of 468 in²

Answer:

B, D, F

Step-by-step explanation:

B, D, F