Given 8x=-24, What is the value of x?
a. -3
b. 12
c. -2
d. 3

Answer:

1/13

Step-by-step explanation:

Probability of Sarah drawing a letter in her name

= number of letters in her name: S, A, R and H / total number of letters

= 4/26

Probability of drawing an odd number

= odd numbers / total numbers

= 5/10

Combining the above, Probability of her drawing a letter in her name and an odd number = 4/26 * 5/10

= 1/13

Total Alphabetical cards Sarah has ⇢ 26

Total Letters Sarah's name has ⇢ 4

Probability of getting a card with one of the letter in her name ⇢ 4/26

Total numerical Cards Sarah has ⇢ 10

Total odd numbers in those cards⇢5

Probability of getting a card with an odd number⇢ 5/10

probability of her drawing a letter in her name and an odd number⇢ 4/26 x 5/10 = 1/13

Answer:

A.

1. x = -5

2. x = -1

3. x = -2

4. x = 25/9

5. x = 1

B.

1. x ≤ 2

2. - 3≤ x ≤ 6

3. x ≤ 2

4. x ≤ 33/2

5. x ≤ 17/3

Step-by-step explanation:

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A.

1. 5x + 12=2x-3

2. 3x+6= -2x+1

3. (x/2-4x=7)x2

4. 1.4x - 0.4x=6.2+3.8

5. 5x-10+2x=7x+28-38

B.

1. 2x/2 ≤ 4/2

2. 2x+3 > -3

2x+3< 15

3. 5x-4 >6

4. (2x./3+1/2>x-5)x6

5. 0.8+0.6x ≥4.2

Solution:

Note that:

Finding the leg of a square with area of 369 units²

Finding the leg of a square with area of 81 units²

Finding side length a using Pythagoras theorem

Finding the missing area of the square.

Option D is correct.

Answer:

Step-by-step explanation:

its A :)

Answer= y=2x+6

The slope-intercept form of an equation of a line: y=mx+b

m - slope

b - y-intercept

We have the points (5, -4) and (-1, 8). Substitute:

m= [tex]\frac{8-(-4)}{-1-5}[/tex] =[tex]\frac{12}{-6}[/tex] =-2

Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line,

-4=-2(5)+b

=-10+b

6=b

y=2x+6

Answer:

Keep all variables (temperature, place, lighting, etc.) constant other than the variable being tested.

Do the test multiple times. The variations must be small.

keep everything calibrated (marked)

record measurement correctly with the correct units

Step-by-step explanation:

The number d is not a divisor of the integers 400, 366 and 213

The least possible value of d is 17

The numbers are given as:

400, 366 and 213

The divisor is given as: d

Where d > 1

To determine the least possible value of d, we make use of the following Python program, where comments are used to explain each action.

#This iterates from 2 to the smallest number of the three divisors

for d in range(2,213):

   #This checks for the common remainder

   if(400%d == 366%d) and (400%d == 213%d):

       #This prints the value of d, when the smallest remainder of all three integers is determined

       print(d)

At the end of the program, the output is 17

Hence, the least possible value of d is 17

Read more about remainders at:

https://brainly.com/question/25289437

Answer:

175/24

Step-by-step explanation:

First change mixed fraction to improper fraction.

1¾= (1×4+3)/4

= 7/4

4⅙= (4×6+1)/6

= 25/6

now multiply the nominators (numbers on the top) and then the denominators (numbers on the bottom)

I.e

7/4 × 25/6

= 7×25/4×6

= 175/24

it cannot be further simplified so 175/24 is the answer.

Answer:

Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle

Step-by-step explanation:

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Answer:

a common factor would be 5m^4n^3 or 15m^2n^2

Step-by-step explanation:

not sure what terms they want you to choose from but anything that starts with a number (5,10,15,) and "m" would any number 5 would go into

Answer:

y= 4x + 3

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer :

3/4.

Explanation

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 60 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

60 ÷ 15

Reduced fraction: 3/4

Therefore, 45/60 simplified to lowest terms is 3/4.

Hi! I hope you are enjoying your day!

In order to simplify this ratio (and 45:60 is a ratio), we should divide both sides of the ratio by 5 (because both 45 and 60 are evenly divisible by 5)

Divide:

9:12

Is the ratio in its simplest form? No.

Why?

Because 9 and 12 can be divided by 3:

3:4

Now the ratio IS in its simplest form.

Hence, the answer is

[tex]\boxed{\boxed{\bold{3:4}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

An equation is an expression that shows the relationship between two or more variables and numbers.

Revenue = number of tickets sold * price per ticket = (400 - 8p)p

Revenue = 400p - 8p²

For no revenue:

400p - 64p² =  0

p = $0 or p = $50

For revenue of atleast 3200:

400p - 8p² =  3200

p = $10 or p = $40

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

Find out more on Equation at: https://brainly.com/question/1214333

Answer:

[tex] \frac{13}{30} [/tex]

Step-by-step explanation:

Reduce the fractions to having a common denominator (find the L.C.M. of 10 and 3).

[tex] \frac{1}{10} + \frac{1}{3} [/tex]

[tex] = \frac{1 \times 3}{10 \times3} + \frac{1 \times 10}{3 \times 10} [/tex]

[tex] = \frac{3}{30} + \frac{10}{30} [/tex]

[tex] = \frac{13}{30} [/tex]

Answer:

8.94

Step-by-step explanation:

hypotenuse=h

h=4^2+8^2

h=16+64

h=80

h=√80

h=8.94

Answer:

Step-by-step explanation:

[tex]hypotenuse=\sqrt{4^2+8^2} =\sqrt{16+64} =\sqrt{80}\approx 8.94[/tex]

Answer:

8

Step-by-step explanation:

→ Find width of first painting

48 ÷ 6 = 8

→ Find length of second painting

64 ÷ 8 = 8

Answer:

x = -8

Step-by-step explanation:

[tex]-\frac{1}{3}\left(6x+18\right)=10[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}-3[/tex]

[tex]\left(-\frac{1}{3}\left(6x+18\right)\right)\left(-3\right)=10\left(-3\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6x+18=-30[/tex]

[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]

[tex]6x+18-18=-30-18[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6x=-48[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]

[tex]\frac{6x}{6}=\frac{-48}{6}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-8[/tex]

~Learn with Lenvy~

Answer:

The quadratic function, f(x) has the greater value.

Step-by-step explanation:

The given function written to us is in standard form, meaning it is easy to graph this function.

Since this function is going to open down-ward, we start with negative numbers.

[tex]f(-1)=3\\[/tex]

Since 3 is a greater value than 2, which we can see is the maximum value of g(x) by viewing the graph, f(x) is greater.

Answer:

40%

Step-by-step explanation:

assuming you actually mean 10^5 and 10^6, to find percentages you do

part/total x percent/100

you have (6x10^5/1.5x10^6) x (x/100)

cross multiply, and you have 6x10^7=1.5x10^6x

divide on both sides by 1.5x10^6

x=40

so the answer is 40%

Answer:

73.12 in.²

Step-by-step explanation:

The entire area is made up of a semicircle and a rectangle. We find both areas and add them.

total area = area of semicircle + area of rectangle

total area = (1/2)πr² + length × width

total area = 1/2 × 3.14 × 4 in. × 4 in. + 8 in. × 6 in.

total area = 73.12 in.²

Answer:

5400000000

Step-by-step explanation:

1gram=5400

1kg=5400*1000 (1kg=1000gm)

=5400000

1quntal=5400000*100 (1quntal=100kg)

=540000000

1ton=540000000*10 (1ton=10 quntal)

=5400000000

Answer:

80 total students

Step-by-step explanation:

hope this helps!

Answer:

80

Step-by-step explanation:

If 16 is %20 then it represents 1/5 of the class. Multiply 16 x 5 = 80

Answer: 227 degrees

Step-by-step explanation:

Answer:

x=-2

x=2

Step-by-step explanation:

We can think of this equation like a statement

"4 times what squared minus sixteen is equal to zero"

First, we need to rearrange the equation:

[tex]4x^2=16[/tex]

Now using our common knowledge, we know that 4 times 4 is equal to 16

now we have another statement:

"x times x is going to be equal to 4"

*Remember that the two numbers have to be the same since x is squared*

Again, we can use common knowledge and say that 2x2 is equal to 4

This means that x=2

Now when you square a variable, the variable can have to values, a positive, and a negative value

So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4

So we can come to a conclusion that

x=2

AND

x=-2

Answer:

Step-by-step explanation: