A football team won 75% of 60 games in a season. How many games did they win?

Answer:

Step-by-step explanation: add 5, add 3

24+5= 29,

29+3= 32,

etc

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Answer:

natural numbers, rational numbers, integers, whole numbers, real numbers

-16 belongs to the set of the integers and rational numbers.

Given that,
To discuss to which subsets of the real number system -16 belong.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
Number -16 is an integer and rational number, also primarily it is a real number,
So real number is set an integer and a rational number is subsets for the number -16

Thus, -16 belongs to the set of integers and rational numbers.

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Answer:

3 I did it already..................

Step-by-step explanation:

3

Answer:

3

Step-by-step explanation:

observe the choices and choose the closest choices. MR/MP=RQ/NP THE HINT IS "NP".

Answer:

is it not just 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Find the intersection of Red and Cruze, and you get the box with 3

Answer:

∠ F ≈ 78°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosF = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{1.5}{7.5}[/tex] , then

∠ F = [tex]cos^{-1}[/tex] ([tex]\frac{1.5}{7.5}[/tex] ) ≈ 78° ( to the nearest degree )

Answer:

Step-by-step explanation:

Answer:

[tex]5n + 2(11 - n) = - 5 \\open \: brackets \\ 5n + 22 - 2n = - 5 \\ 5n - 2n = - 5 - 22 \\ 5n - 2n = - 27 \\ 3n = - 27 \\ n = \frac{ - 27}{3} \\ n = - 9[/tex]

Answer:

nah

Step-by-step explanation:

Answer:

x=y-3

Step-by-step explanation:

okay, so first, we have to understand what the words mean.

PRODUCT: means the answer to a multiplication question

DECREASED: taken away or to make smaller

AND: addition or add

We can use X for "product" and Y for "a number"

now we can write it out:  

x=y+5-3

OR

y+5-3=x

Answer:

x = 20

Step-by-step explanation:

The way to solve these problems is by isolating x (getting it by itself on one side).

So let's look at the operations needed!  First of all, there's currently a +6 hanging out next to x.  We don't want that, so we subtract 6 from both sides.

x/5 + 6 = 10

       -6    -6

      x/5 = 4

We now see that x is being divided by five.  To get just x, we can now multiply both sides by five to get rid of that fraction.

       x/5 = 4

        *5    *5

           x = 20

Step-by-step explanation:

Apply rule: 3x+3x =-1

Add similar elements: 6x=-1

Divide both sides by six

Simplify: x= -1/6

Answer:

16

Step-by-step explanation:

38-12-10=16

Answer:

16

Step-by-step explanation:

Answer:

C) 50°

Step-by-step explanation:

Δ FJG ≅ Δ IKH

∡J = 90

∡I and ∡F = 40

therefore, ∡G = 180 - (90+40) = 50°

Answer:

10

Step-by-step explanation:

2+2+6

Answer:

10

Step-by-step explanation:

The right side of the graph shows the sum of the cars. 2 black Impala's + 6 white Impala's + 2 red Impala's = 10 total Impala's (that is, if all of the Impala's are one solid color)

Answer:

24(2y-1)

Step-by-step explanation:

(pls mark me brainliest)

Answer:

0.0158730159

Explanation:

Answer:poster 10 hours ago

Step-by-step explanation:

me reads it is due in 10 min

Answer:

B [tex](y-9)=5(x-1)[/tex]

Step-by-step explanation:

Formula of straight line in Point slope form

[tex](y-y_1)=m(x-x_1)[/tex]

Here

[tex]m=5 \ and \ (x_1, y_1)=(1, 9)[/tex]

therefore equation of line having slope 5 and passing through point )1, 9) is given as

[tex](y-9)=5(x-1)[/tex]

Answer:

Francine has just set up her Christmas tree.  40% of her ornaments are red.  If she has 30 ornaments, then how many are red?

Step-by-step explanation:

Go with ÷5 its the most closest while the rest are no where to be found.

Answer:

w=28

Step-by-step explanation:

multiply both side by 4:

[tex]4*(\frac{w}{4} -4)=3*4\\4*\frac{w}{4}-16=12\\w-16=12[/tex]now add  +16 in both side:

[tex]16+w-16=12+16\\w=28[/tex]

Answer:

-45

Step-by-step explanation:

inside the parentheses: 2*-8= -16

                                        -16+1=-15

3 (-15)= -45

Answer:

-45

Step-by-step explanation:

hello

Answer:

Step-by-step explanation:

Beth is painting at a rate of 6/5=1 1/5 room per hours

The time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that at top speed, Beth could paint 5 identical rooms during one 6 hour shift. Therefore, the time it will take for Beth to paint a single room is,

Time for a single room = Time taken to paint / Number of rooms

                                      = 6 hours / 5 rooms

                                      = (6/5) hours per room

                                      = 1 1/5 hours per room

Hence. the time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.

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Answer:price of the bicycle was reduced by 25%

Step-by-step explanation:

Step 1

Old Price of bicycle = $120

New Price of  bicycle= $90

Price decrease= $120-$90= $30

Step 2

Percentage decrease = Decrease / Original price x 100

= (30/120)  x 100

1/4 x 100

= 25%

Therefore the percentage decrease in the price is 25%

Answer:

5th term will approximate 5461/64

Step-by-step explanation:

5th term will approximate 5461/64

64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33

Answer:

Step-by-step explanation:

None of them

Answer:

11

Step-by-step explanation:

first, distribute the negative four in Expression 1: -36x+8+3

next, set that equal to Expression 2: -36x+11 = -36x+k

finally, add 36x to both sides: 11 = k