Simplify. 3/5+(-1/4)÷7/10
Enter your answer, in simplest form, in the boxes.
Please help, look down below at the attachment cuz Im not sure I set the problem up right!

[tex]\dfrac{3}{4}x+5-\dfrac{1}{2}x=3\qquad|\text{multiply both sides by 4}\\\\\not4^1\cdot\dfrac{3}{\not4_1}x+4\cdot5-\not4^2\cdot\dfrac{1}{\not2_1}x=4\cdot3\\\\3x+20-2x=12\\\\(3x-2x)+20=12\qquad|\text{subtract 20 from both sides}\\\\x=-8[/tex]

90 is approximately 37.5 percent of 240.

To find the number that 90 is 37.5% of, we can set up the following proportion:

90 is to x as 37.5 is to 100

This can be expressed as:

90/x = 37.5/100

To solve for x, we can cross-multiply:

37.5 * x = 90 * 100

Now, divide both sides of the equation by 37.5 to isolate x:

x = (90 * 100) / 37.5

Simplifying the expression on the right side:

x = 9000 / 37.5

Dividing 9000 by 37.5:

x ≈ 240

37.5% of 240 is 90.

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90 is 37.5% of 240.

Part = (Percentage / 100) * Whole

In this case, we are given the part (90) and the percentage (37.5%), and we need to find the whole.

Whole = Part / (Percentage / 100)

Substituting the given values:

Whole = 90 / (37.5 / 100)

Whole = 90 / 0.375

Whole = 240

So, 90 is 37.5% of 240.

Keiko has a total of $5200

x is the amount of money in larger account

y is the amount of money in smaller account

x - y = $900

and x + y = $5200

This creates two simultaneous equations:

x - y = $900 ... (i)

x + y = $5200 ... (ii)

Adding (i) and (ii) :

2x = $6100 , x = $3050

y = x - $900 = $3050 - $900 = $2150

The amount of money in larger account (x) = $3050

The amount of money in smaller account (y) = $2150

To solve the problem, we set up and solved a system of equations using the given information. We find that Keiko has invested $2150 in the smaller account and $3050 in the larger account.

Keiko has $5200 that she invested in two accounts. We're told the larger account is $900 more than the smaller one. Since we let x represent the amount of money in the larger account and y represent the amount of money in the smaller account, we can establish the following system of equations:

Substituting the second equation into the first, we get:

Solving for y from this equation, we obtain y = $2150, representing the smaller account. Substituting y into the original second equation, we find x = $3050, which is the larger account. Hence Keiko has $2150 in the smaller account and $3050 in the larger account.

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[tex]( 7 + 7i)( 6 + 7i)=42+49i+42i-49=-7+91i[/tex]

Step-by-step explanation:

P = 2l + 2w --> w = 1/2·P - l = 1/2·42 - 15 = 6 feet

The width of the rectangular garden will be 6 feet.

The rectangle is defined as a quadrilateral having four sides and the angle suspended by all the sides is equal to 360 degrees. The perimeter is the sum of all the sides of the rectangle.

Given that the perimeter of a garden is 42 feet. The length is 15 feet.

The width of the rectangular garden will be calculated as:-

P = 2l + 2w

w = 1/2·P - l

w= 1/2·42 - 15

w= 6 feet

Therefore, the width of the rectangular garden will be 6 feet.

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The solution for 4+√5x+66=x+10 is x=3 (option 2)

Given equation: 4+sqrt5x+66=x+10

Subtract 4 from both sides;

[tex]\sqrt(5x+66) = x+6[/tex]

Square both sides:

[tex]5x+66 = (x+6)^2[/tex]

Simplify further, we get:

[tex]5x + 66 = x^2 + 12x + 36[/tex]

[tex]x^2 + 12x - 5x + 36 - 66 = 0[/tex]

[tex]x^2 + 7x - 30 = 0[/tex]

Factor the equation to get:

[tex](x + 10)(x - 3) = 0[/tex]

[tex]x - 3 = 0[/tex]

[tex]x = 3[/tex]

Therefore, the solution of 4+√5x+66=x+10 is x=3 (option 2)

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Complete question:

What is the solution of 4+√5x+66=x+10?

1.x=-10

2.x=3

3.x=-10 or x=3

4.no solution

side one is 5 side two is 10 and the third side is 13. 28 is not divisible by three so if one side i 5 ft longer and another side is 8 ft longer then you add them 5+8=13 then subtract 13 from the perimeter 28-13=15 then divide 15 by 3 and get 5 5 5. add 5 (5+5) (5+8).

The lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.

Let's assume the second side of the triangle has a length of x feet.

According to the given information, the first side of the triangle is 5 feet longer than the second side, so its length would be x + 5 feet.

Similarly, the third side is 8 feet longer than the second side, so its length would be x + 8 feet.

The perimeter of a triangle is calculated by adding the lengths of all three sides, so we can write the equation:

x + (x + 5) + (x + 8) = 28

Now let's solve this equation to find the value of x:

3x + 13 = 28

3x = 28 - 13

3x = 15

x = 15 / 3

x = 5

So, the second side of the triangle has a length of 5 feet.

Using this value, we can find the lengths of the other two sides:

First side: x + 5 = 5 + 5 = 10 feet

Third side: x + 8 = 5 + 8 = 13 feet

Therefore, the lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.

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Total distance of a typical running track  = [tex]402 \frac{1}{4} meters[/tex].

Let us convert it into impoerper fraction first, we get

[tex]\frac{402\times4+1}{4}=\frac{1609}{4}meters.[/tex]

Total number of maps in a day = 10 maps.

Number of days of running = 5 days.

Total number of maps of 5 days = 10 × 5 = 50 maps.

Total number of meters in 50 maps = [tex]50\times\frac{1609}{4}=\frac{80450}{4}=20112\frac{1}{2}\ meters.[/tex].

The actual area of the game room is 150 square yards.

To find the actual area of the game room, we need to convert the dimensions on the blueprint to actual measurements. The scale on the blueprint is 1 foot to 5 yards, so we can convert the length and width of the room by multiplying by 5. The room measures 3 feet by 2 feet on the blueprint, so the actual dimensions are 3 feet x 5 yards and 2 feet x 5 yards. Thus, the actual area of the game room is (3 feet x 5 yards) x (2 feet x 5 yards), which simplifies to 15 yards x 10 yards or 150 square yards.

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Answer:

1 7/50

Step-by-step explanation:

2 6/25= 2 12/50

1 1/10= 1 5/50

2 12/50-1 5/50= 1 7/50

Step by Step:

[tex]2\frac{6}{25}  - 1\frac{1}{10}[/tex]

Subratact whole numbers 2-1: 1

Combine fractions [tex]\frac{6}{25} - \frac{1}{10}[/tex]: [tex]\frac{7}{50}[/tex]

1 + /frac{7}{50}

Answer:

A = 1/frac{7}{50}

Notes:

N/A

Hi!

[tex]13m=12-m[/tex]

[tex]13m+m=12-m+m[/tex]

[tex]14m=12[/tex]

[tex]\frac{14m}{14}=\frac{12}{14}[/tex]

[tex]m=\frac{6}{7}[/tex]

Explanation: First you had to do is add m to from both sides. It gave us 13m+m=12-m+m. Then you can simplify, it gave us 14m=12. You can also divide by 14 from both sides. It gave us 14m/14=12/14. And the answer is going to be m=6/7 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day! -Charlie

The value of m is 0.85

To solve for m in the equation [tex]\(13m = 12 - m\)[/tex], we need to isolate m on one side of the equation. Here's the step-by-step solution:

1. Start with the given equation:

[tex]\[ 13m = 12 - m \][/tex]

2. Add m to both sides of the equation to get all the m terms on one side:

[tex]\[ 13m + m = 12 \][/tex]

[tex]\[ 14m = 12 \][/tex]

3. Now, divide both sides of the equation by 14 to solve for m:

[tex]\[ \frac{14m}{14} = \frac{12}{14} \][/tex]

[tex]\[ m = \frac{12}{14} \][/tex]

The answer is 23 beats

Answer:

n = -3

Step-by-step explanation:

trust me bro like its ez

To find the sum of 7+9 using the make a ten strategy, start with the larger number, add 1 to it to make it 10, subtract 1 from the other number, and then add the resulting numbers together.

So, the sum of 7 + 9 is 16.

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To earn the total amount by selling 250 magazine subscriptions, we need to calculate the payment for each subscription and then sum them up using the arithmetic series formula. The total earnings will be $6,312.50.

To calculate how much you will earn by selling 250 magazine subscriptions, we need to determine the payments for each individual subscription and then add them up. Based on the given information, the first subscription pays $1.25, and for each additional subscription, the payment increases by 20 cents. We can use a formula to find the payment for each subscription:

Payment = $1.25 + ($0.20 x (n-1))

where n is the number of subscriptions sold. Now, let's calculate the payments for 250 subscriptions:

Now, we need to add up all the individual payments to find the total earnings:

Total earnings = Payment for the 1st subscription + Payment for the 2nd subscription + ... + Payment for the 250th subscription

Total earnings = $1.25 + $1.45 + $1.65 + ... + $49.25

To simplify the calculation, we can notice that the payments form an arithmetic sequence with a common difference of $0.20. We can use the arithmetic series formula to find the sum of the payments:

Total earnings = (n/2) x (first term + last term)

Plugging in the values, we get:

Total earnings = (250/2) x ($1.25 + $49.25) = 125 x $50.50 = $6,312.50

Therefore, you will earn $6,312.50 by selling 250 magazine subscriptions.

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By selling 250 magazine subscriptions, you will earn $51.05.

To find out how much you will earn by selling 250 magazine subscriptions, we need to determine the amount you will earn for each subscription. Given that the company pays $1.25 for the first subscription and increases the payment by 20 cents for each additional one, we can set up an arithmetic sequence to calculate the total earnings.

The sequence starts with $1.25 and increases by 20 cents each time. The formula for the nth term of an arithmetic sequence is:

an = a1 + (n - 1)d

where an is the nth term, a1  is the first term, n is the number of terms, and d is the common difference. In this case, a1 = $1.25 , d = 0.20 , and n = 250.

By substituting these values into the formula, we can calculate the total earnings:

a250 = 1.25 + (250 - 1) * 0.20

a250 = 1.25 + 249 * 0.20

a250 = 1.25 + 49.80

a250 = 51.05

Therefore, you will earn $51.05 by selling 250 magazine subscriptions.

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Hey there!!

Given equation :

... { ( 500 + n ) - 50 }5 = c

... { 500 + n - 50 }5 = c

... { 450 + n }5 = c

... 2250 + 5n = c

Hope my answer helps!!

Convert 12 pounds to ounces which is 192 ounces.

Divide the price by the ounces. That would get $0.09765625 rounded to $0.10 per ounce.

The unit price per ounce will be equal to $0.10.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The unit price per ounce will be calculated as:-

1 pound = 16 ounces

12 pounds = 12  x  16  =  192

Cost of 192 ounces = $18

Cost of unit ounce = 18  /  192

Cost of unit ounce  =  0.095156 ≅ $0.10

Therefore the unit price per ounce will be equal to $0.10.

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Answer: The answer could be 34.

Step-by-step explanation: Since he used an average of 15 gallons per race we can divide 51 by 3 which gives us 17 and since it's average it doesn't have to be exact. Then we multiply by 17*2 which give us 34 and that's our answer. Im sorry if I'm incorrect I tried my best! Hope this helps!

Answer:

Green: [tex]\bf~\frac{3}{20}[/tex]

Blue: [tex]\bf~\frac{5}{20}[/tex] or [tex]\bf~\frac{1}{4}[/tex]

Combined probability of a green or a blue: [tex]\bf~\frac{8}{20}[/tex] or [tex]\bf~\frac{2}{5}[/tex]

Step-by-step explanation:

The probabilty of you getting a marble of a given colour is the amount of marbles of the given colour divided by the total amount of marbles.

By using that rule, we get a probabilty o [tex]\frac{3}{20}[/tex] for a green marble, a probabilty of [tex]\frac{1}{4}[/tex] for a blue marble, or if we sum those two and find the probabilty of getting a marble that is either green or blue, we get [tex]\frac{2}{5}[/tex]

[tex]\frac{3}{20} + \frac{5}{20} = \frac{8}{20} = \frac{4}{5}[/tex]

Hope it helped,

BioTeacher101

I assume the underlined digit tells you to round off to that place. In this case, the 3 is in the tenths place, so you need to round off 2.348 to the nearest tenth.

2.348

The 3 is in the tenths place. If you are asked to round off to the nearest tenth, then first, drop the digits to the right of the 3. Now you have 2.3, but we need to look at the next digit in the original number. The original number was 2.348, with a 4 to the right of the 3. Since 4 is less than 5, you just keep the rounded number as 2.3.

Answer: 2.3

5.6 * (7 / 5) = 7.84

Answer:

24

Step-by-step explanation:

Factorial is applicable only for natural numbers and 0.

0! =1 trivially.

FOr other numbers, factorial is defined as 1x2x...n

For example 1! = 1

2! = 1x2 = 2

and so on.

i.e. n! = product of all natural numbers from 1 to n

= 1x2x....n

Using the above

we have n =4

Natural numbers from 1 to 4 are 1,2,3,4

Find the product of these 4 natural numbers to get 4!

4! = 1x2x3x4 = 24

-12.166 divided by -1.54 hm I think -11.122  Im sorry i never learned this...

Your answer would be 7.9

12.166 /-1.54

-7.9

A line parallel to this one would need to have the same slope. This line is in the slope/intercept form, and shows us that the slope of this line is 9. Therefore, any line with a slope of 9 would be parallel to y = 9x. For example, the lines y = 9x + 3 and y = 9x - 40 would be parallel to this one.

f(n)= f(n-1) · 0.6+48, n>0

1608 divided by 6 is equal to the quantity of 268.

We can verify this by multiplying 268 by 6.

268 * 6 = 1608.

16/6=2 Ramander 4

4 bring the 0 down is 40.

40/6=......... If you need it the long way.

short way

1608/6=268