Please help me !!! Easy math

let x = amount invested at 3%

so, (2600 - x) is invested at 7%

.07 *(2600 - x) + .03 *(x) = 138

182 - .07x + .03x = 138

-.07x + .03x = 138 - 182

-.04x = -44

-.04x / -.04 = -44 / -.04

x = 1,100

so amount invested at 7% is (2600 - 1100) or 1500

consequently amount invested at 3% is 1100

$1,100 invested at 3%

$1,500 invested at 7%

The money invested in both of the funds are $800 and $1800 respectively.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Suppose the money invested in one of the funds be x.

Then, in the other fund the investment is (2600 - x).

Now, the equation for the total profit from both investments can be obtained as,

7% × x + 3% × (2600 - x) = 150

⇒ 7/100 × x + 3/100 × (2600 - x) = 150

⇒ 4x/100 = 150 - 78

⇒ x = 1800

Thus, the investment in the other fund is 2600 - 800 = $800.

Hence, the investment for both the funds are $800 and $1800 respectively.

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The round off to nearest half is 1/2.

Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.

Given:

The fraction = 5/9.

Now, rounded to the nearest half is 1/2

we know 9 halved value is 4.5 which is much closer to 5.

So, we can write it as 5/10 = 1/2.

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Answer:

9 or (5,4)

Step-by-step explanation:

Just subtract it on each side :)

Answer:

  a. The cost of 10 tickets

Step-by-step explanation:

We don't know what the expression is supposed represent, but the answer choices suggest that ...

  c = 5t +3

represents the cost of t tickets. Then, when t=10, c = 53 will represent the cost of 10 tickets.

Answer:

A) 2 13/15 x + 3

B) 2 7/12 x - 7 4/5 over 2 3/5

C) 5 16/21 x - 18 6/7

D) 16 4/7 x - 2 2/5

Step-by-step explanation:

Answer:

If two lines intersect, then their intersection is exactly one point.

Step-by-step explanation:

Answer:

C. (11 unit cubes and 2 smaller cubes of volume 1/8 cubic inch each.)

Step-by-step explanation:

90 cubes * 1/8 inch = 11 1/8 inch.

The statement that justifies how the area of a sector of a circle is derived is:

This refers to the quantity that expresses the extent of a region on the plane such as on a curved surface.

Furthermore, the area of sector of a circle is talking about the amount of space enclosed within the boundary of the sector.

Generally, it is explained in step that we first calculate the area of the circle. Then, determine the central angle of the sector and divide this angle by 360° to get a fraction. Multiply ​the area of the circle​ by this fraction.

Therefore, the Option B is correct.

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Answer:

There are 8 band members in each row

Step-by-step explanation:

Given : A band performed at halftime during the football game.

There were 64 band members marching in 8 equal rows.

To Find : How many band members were in each row?

Solution :

Let there are x members in each row .

Since there are 8 rows

So, no. of members in 8 rows = 8x

We are also given that there are 64 band members .

⇒[tex]8x=64[/tex]

⇒[tex]x= \frac{64}{8}[/tex]

⇒[tex]x= 8[/tex]

Thus there are 8 band members in each row

area of triangle is = 1/2 * base * altitude

1- each side is made 8 times

so the net change in area is 64 times

The area of A'B'C' is 64 times the area of ABC

2- each side is made 4 times

so the net change in area is 16 times

The area of D'E'F' is 16 times the area of DEF

3- each side is made 3 times

so the net change in area is 9 times

The area of A'B'C' is 9 times the area of ABC

"4√7" means four times the square root of 7, approximately equal to 10.582, an irrational number with decimal expansion.

The expression "4√7" represents the square root of 7, multiplied by 4. Let's break it down step by step:

1. Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 × 3 = 9. Similarly, the square root of 25 is 5 because 5 × 5 = 25.

2. √7: This symbol (√), called the radical symbol, represents the square root. So, √7 represents the square root of 7, which is an irrational number, meaning it cannot be expressed as a simple fraction and has decimal places that go on indefinitely without repeating.

3. 4√7: This means you're taking the square root of 7 and then multiplying it by 4. So, if you calculate it, it's like doing 4 times the square root of 7.

To give a numerical example, if we want to find the value of 4√7:

  4 × √7 ≈ 4 × 2.6457513110645905905016157536393... (approximately)

Thus, 4√7 is approximately equal to 10.582, depending on how many decimal places you round to.

In summary, "4√7" represents four times the square root of 7, which is an irrational number, approximately equal to 10.582.

[tex]\text{Consider the sum of the finite arithmatic series}\\ \\ 7.6+6.3+5+3.7+2.4+1.1+(-0.2)+(-1.5)\\ \\ \text{We know that the sum of the finite arithmatic series }\\ \\ a_1,a_2, a_3, ..., a_n \text{ is given by the formula}\\ \\ S_n=\frac{n}{2}\left ( a_1+a_n \right )\\ \\ \text{here in the given series, we can see that }a_1=7.6, \ a_n=-1.5 \text{ and}\\ \text{the number of terms is, }n=8. \text{ so using above formula, we get}[/tex]

[tex]S_8=\frac{8}{2}\left ( 7.6+(-1.5) \right )\\ \\ =4\left ( 7.6-1.5 \right )\\ \\ =4\left ( 6.1 \right )\\ \\ =24.4[/tex]

Hence the sum of the finite Arithmetic series is: 24.4

Final answer:

Solomon has 2/3 of the book left to read. To finish it over 5 nights, he needs to read 2/15 of the book each night.

Explanation:

Solomon has read 1/3 of his book already. To finish the remaining 2/3 of the book in 5 nights, we need to calculate the fraction of the book he should read each night. Since he has to evenly distribute the remaining portion over 5 nights, we will divide 2/3 by 5.

Here's the calculation step-by-step:

First, represent the remaining part of the book as a fraction, which is 2/3.

To divide this fraction by 5, we multiply the denominator by 5. This gives us (2/3) × (1/5).

Multiplying these fractions, we get (2 × 1) / (3 × 5), which simplifies to 2/15.

Thus, Solomon reads 2/15 of the book each night for the next 5 nights.