Write the equation of a line in slope intercept form that has a slope of 6 and has a y-intercept of ½.

Answer:

-2.32193...

Step-by-step explanation:

log.5 (5)

Answer:

[tex]\log_{\frac{1}{2}} 5=-2.32193[/tex]

Step-by-step explanation:

Given : Expression [tex]\log_{\frac{1}{2}} 5[/tex]

To find : The solution of the given expression ?

Solution :

We have given expression [tex]\log_{\frac{1}{2}} 5[/tex]

Applying logarithmic property,

[tex]\log_b a=\frac{\log_e a}{\log_e b}=\frac{\ln a}{\ln b}[/tex]      

Where, [tex]\log _e[/tex] is the natural logarithm indicated as [tex]\ln[/tex]

[tex]\log_{\frac{1}{2}} 5=\frac{\ln (5)}{\ln {\frac{1}{2}}}[/tex]

[tex]\frac{\ln (5)}{\ln {\frac{1}{2}}}=\frac{1.60943}{ -0.69315}[/tex]

[tex]\frac{\ln (5)}{\ln {\frac{1}{2}}}=-2.32193[/tex]

Therefore, [tex]\log_{\frac{1}{2}} 5=-2.32193[/tex]

Answer:

A: [tex]7x+y=801[/tex]

B: [tex]18x+3y=1949[/tex]

Step-by-step explanation:

we are given system of equations as

[tex]84x+12y=9612[/tex]

[tex]126x+21y=13643[/tex]

We can simplify each system of equations

[tex]84x+12y=9612[/tex]

we can factor out common terms

[tex]12\times 7x+12\times y=12\times 801[/tex]

[tex]12(7x+y)=12\times 801[/tex]

we can divide both sides by 12

[tex]7x+y=801[/tex]

now, we can simplify second system of equation

[tex]126x+21y=13643[/tex]

Firstly, we can factor

[tex]7\times 18x+7\times 3y=7\times1949[/tex]

[tex]7(18x+3y)=7\times1949[/tex]

we can divide both sides by 7

[tex]18x+3y=1949[/tex]

so, we get

A: [tex]7x+y=801[/tex]

B: [tex]18x+3y=1949[/tex]

Answer:

No solution

Step-by-step explanation:

Question

what's the answer to this  

4 (w+1)-4w

Answer:

Step-by-step explanation:

4 (w+1)-4w =

4w + 4 - 4w =

4

Answer:

4 Bird Feeders

Step-by-step explanation:

3 1/4 ALSO is 13/4

13/4 dived by 3/4 or 13/3 witch is 4 and some extra so it can only fill four feeders fully

Answer:

52 bird feeders

Step-by-step explanation:

First, you must determine how much birdseed the volunteer has in cups. To do this, multiply the 12 pounds by the 3 1/4 cups, as there are 3 1/4 cups in one pound. This means the volunteer has 39 cups of birdseed.

Then you must divide the amount of birdseed the volunteer has (39 cups) by the amount of birdseed needed to fill a bird feeder (3/4 cups), which will give you the amount of  bird feeders the volunteer can fill (52 bird feeders).

Answer:

52

Step-by-step explanation:

By solving the system of equations derived from the problem, we get that the club bought 23 black pens.

Let's denote the number of black pens as 'b' and the number of red pens as 'r'. According to the problem, we have two equations: b + r = 75 (there were 75 pens in total) and [tex]1.75b + 2r = 137[/tex] (the total cost of the pens was $137).

Now, we can solve this system of equations. From the first equation, we can express 'r' as r = 75 - b. Substitute this into the second equation: [tex]1.75b + 2(75-b) = 137.[/tex], simplifying this gives b = 23. So, the club bought 23 black pens.

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Answer:

[tex]x=7.5[/tex]

Step-by-step explanation:

If you look at the large triangle, you will see that the side [tex]x[/tex] is opposite of 30° angle and the side 15 is opposite of 90° angle (side opposite of 90° angle is called the hypotenuse).

We have the angle, we have the side opposite and the hypotenuse. Which trigonometric ratio relates opposite side and hypotenuse? SINE!

So we use the sin ratio and cross multiply and solve for [tex]x[/tex]:

[tex]Sin(A)=\frac{Opposite}{Hypotenuse}\\Sin(30)=\frac{x}{15}\\x=15*Sin(30)\\x=15*(0.5)\\x=7.5[/tex]

Hence, [tex]x=7.5[/tex]

Answer:

a=3.75 un., b=11.25 un.

[tex]x=7.5\ un.[/tex]

[tex]y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]

[tex]z=\dfrac{15\sqrt{3}}{2}\ un.[/tex]

Step-by-step explanation:

Given triangle is special 30°-60°-90° right triangle. The leg that is opposite to the angle of measure 30° is always equal to half of the hypotenuse. The hypotenuse is of length 15 units, the leg that is opposite to the 30° angle is leg with length of x units, then

[tex]x=\dfrac{15}{2}=7.5\ un.[/tex]

In right triangle with hypotenuse x and legs y and a, angle opposite to the leg a is 30°, then

[tex]a=\dfrac{x}{2}=\dfrac{7.5}{2}=3.75\ un.[/tex]

and

[tex]b=15-a=15-3.75=11.25\ un.[/tex]

By the Pythagorean theorem,

[tex]x^2=y^2+a^2,\\ \\7.5^2=3.75^2+y^2,\\ \\y^2=\left(\dfrac{15}{2}\right)^2-\left(\dfrac{15}{4}\right)^2=\dfrac{225}{4}-\dfrac{225}{16}=\dfrac{675}{16},\\ \\y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]

In right triangle with legs y and b and hypotenuse z, leg y is opposite to 30° angle, then

[tex]z=2y=\dfrac{15\sqrt{3}}{2}\ un.[/tex]

Answer:

[tex]x=3-\sqrt{6},x=3+\sqrt{6}[/tex]

Step-by-step explanation:

we are given equation as

[tex]2x^2-12x=-6[/tex]

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

[tex]2(x^2-6x)=-3\times 2[/tex]

step-2:

Simplify it

[tex]x^2-6x=-3[/tex]

step-3:

Add both sides 3^2

[tex]x^2-6x+3^2=-3+3^2[/tex]

now, we can complete square

[tex](x-3)^2=6[/tex]

step-4:

Take sqrt both sides

[tex](x-3)=-\sqrt{6},(x-3)=\sqrt{6}[/tex]

step-5:

Add both sides by 3

we get

[tex]x=3-\sqrt{6},x=3+\sqrt{6}[/tex]

If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.

Divide as usual. ...

Put decimal point directly above decimal point in the dividend.

Check your answer.

Answer:

Here’s one way to do it.

Step-by-step explanation:

Example: Divide 0.539 by 0.11

0.11)0.539

Step 1. Move the decimal points so the divisor is a whole number.

Move them two spaces to the right in both divisor and dividend.

11)53.9

Step 2. Do the long division as usual.

The only difference is that you put the decimal point in the quotient directly above the one in the dividend.

     4.9

11)53.9

     44  

        99

        99

          0

0.539 ÷ 0.11 = 4.9

Answer:

$12.00

Step-by-step explanation:

If they paid $0.72 in tax and tax is 6% or .06 then you could create an equation like this: x * .06 = .72 with x representing the original cost of the bracelet. Now you can just solve for x like so:

x * .06 = .72

÷.06       ÷.06

x = 12

Answer:

$12.00

Step-by-step explanation:

Example with temperature:

The temperature -3 degrees is warmer than -5 degrees. This applies to celsius or fahrenheit. You might also write "negative 3 degrees" as "3 degrees below zero"; the same applies for -5. The absolute difference between the two temperatures is 2 degrees.

=================================================

Example with money:

If your bank balance is -3 dollars and your friend's bank balance is -5 dollars, then your friend owes more money to the bank (s/he owes $2 more than you do).

Negative balances mean you are in debt. Another way to look at this is to consider you want to buy an item worth $10 but you only have $7. If the store owner lends you the difference, which you pay back later, then 7-10 = -3 is the amount of money on your balance sheet indicating you are in debt $3. The order of subtraction is important. Saying 10-7 = 3 shows a positive bank balance and you wouldn't be in debt (and still have $3 in your pocket).

=================================================

In either example, the value -3 is to the right of -5 on the number line so we would write the inequality -3 > -5 to say that -3 is larger than -5. Have a look at the image attached below.

Answer:

Bowl B contains 2 apples more than Bowl A and Bowl A contains 1 mango more than Bowl B.

Step-by-step explanation:

Number of apples in Bowl A = 6

Number of mangoes in Bowl B = 8

Difference in apples = 8 - 6 = 2

So, Bowl B contains 2 apples more than Bowl A.

Number of mangoes in Bowl A = 3

Number of mangoes in Bowl B =2

Difference in mangoes = 3 - 2 = 1

So, Bowl A contains 1 mango more than Bowl B.

Bowl B has 2 more apples and 1 fewer mango compared to Bowl A. Thus, the primary differences are in the quantities of apples and mangoes in each bowl.

Step by Step Solution:

To understand the differences between Bowl A and Bowl B, let's break down the contents of each bowl:

Bowl A contains 6 apples and 3 mangoes.

Bowl B contains 8 apples and 2 mangoes.

Now, let's find the differences in the number of apples and mangoes between the two bowls:

Difference in Apples: Bowl B has 8 apples, and Bowl A has 6 apples. Therefore, the difference is 8 - 6 = 2 apples. Bowl B has 2 more apples than Bowl A.

Difference in Mangoes: Bowl A has 3 mangoes, and Bowl B has 2 mangoes. Therefore, the difference is 3 - 2 = 1 mango. Bowl A has 1 more mango than Bowl B.

In summary, Bowl B has 2 more apples and 1 fewer mango compared to Bowl A.

Answer:

The answer is A

Step-by-step explanation:

5x + 18 = 7x - 12

Subtract 7x from both sides

5x + 18 - 7x = 7x - 12 - 7x

-2x + 18 = -12

Subtract 18 from both sides

-2x + 18 - 18 = -12 - 18

-2x = -30

Divide both sides by -2

-2x/-2 = -30/-2

x = 15

Answer:

0.25 in²

Step-by-step explanation:

This is all basic stuff of conversion and multiplication

Option D, The area of the rectangle is 6/24 square inches.

The area of a rectangle is calculated by multiplying its length and width. Given a rectangle with a length of 3/8 inch and a width of 2/3 inch, we can find the area using the formula:

Area = Length × Width

Substitute the given values:

Area = (3/8) × (2/3)

To multiply these fractions, multiply their numerators and their denominators:

Area = (3 × 2) / (8 × 3) = 6 / 24

After simplifying the fraction 6/24, we get 1/4.

Therefore, the area of the rectangle is 1/4 square inches. Among the answer choices, Option D (6/24) is equivalent to 1/4, so the correct answer is Option D.

Complete Question :

What is the area, in square inches, of the rectangle below?

3/8 inch

2/3 inch

Answer choices:

A square 16/9inches

B 25/24 square inches

C 5/11 square inches

D 6/24 square inches

Answer:

75% increase in price

Explanation:

75% of $1 is 75 cents

250 percent of 50 is  125.

Convert the percent to a decimal by dividing by 100:

250% = 250/100

           = 2.5.

Multiply this decimal by the number:

2.5 * 50.

Perform the multiplication:

2.5 * 50 = 125.

Thus, 250% of 50 is 125.

Answer: E

Step-by-step explanation: 1 gallon is equal to 4 quarts. If Sally needs to fill and refill a 2 quart pitcher with 6 gallons of water, multiply 6 by 4 to get 24.

Answer:

M=3.5

Step-by-step explanation:

7x-2y=0.2

-7x        -7x

-2y = -7x + .02

/-2      /-2     /-2

y= 3.5x+ 0.01

slope is 3.5

Answer: $286.50

If the AP (Annual Premium) $1000 for 30 yr male with 10 yr policy; $3.82...

75000/1000 = 75

75 x $3.83 = $286.50 AP

The premium for a 10-year, $75000 life insurance policy for a healthy 30-year-old male typically ranges from $10 to $20 per month. Actual pricing can vary based on health status, lifestyle, occupation and the specific insurance company's underwriting process. To get the most accurate premium, it's beneficial to shop around and compare quotes.

The premium for a life insurance policy varies based on several factors including the age of the individual, the amount of coverage, policy term, and the individual's health status. The question doesn't provide enough information for an exact calculation as we do not know the general health status of the 30-year-old male, his occupation, lifestyle factors or the premium rates of the specific insurance company. However, we can give a general idea.

Assuming this individual is in good health, for a 30-year-old male, a $75000, 10-year term life insurance policy would typically cost between $10 to $20 per month. This is an average and the actual cost can vary greatly based on the factors mentioned.

Also, each insurance company has different pricing and underwriting processes, so it's important to shop around and compare quotes from different companies to ensure you're getting the best rate.

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Answer:

43

Step-by-step explanation:

104.50 - 18.50 basically then you get 86 then divided by 2 and get 43

Answer: $112.59 + $215.35 = $327.94

Hope this Helps ^^ And Brainliest is always helpful :)

Answer:

The total cost is $327.94

Step-by-step explanation:

215.35 + 112.59 = 327.94

Answer:

D

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y) → D

Note this only happens if the rotation is about the origin

The circumcenter of the triangle ABC with vertices A(-2,4), B(-2,-2), C(4,-2) is found by locating the intersection of the perpendicular bisectors of the sides. It is calculated to be the point (1,1).

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is equidistant from all three vertices of the triangle. To find the circumcenter of triangle ABC with vertices A(-2,4), B(-2,-2), and C(4,-2), we first find the midpoints of the sides and then the equations of the perpendicular bisectors.

The midpoint of AB is (-2, 1) and the midpoint of BC is (1, -2). The slope of AB is undefined and that of BC is 0. Hence, the slopes of the perpendicular bisectors are 0 and undefined respectively. The equation of the line passing through (-2,1) with slope 0 is y = 1. The equation of the line passing through (1,-2) with undefined slope is x = 1. The intersection of these two lines (circumcenter) is (1,1).

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Answer:

u=-2, m=-7

Step-by-step explanation:

7-6u=5u+29

7-11u=29

-11u=22

u=-2

9m=4m-35

5m=-35

m=-7

Answer:

u=-2 and m= -7

Step-by-step explanation:

Answer:

C) X - 5 = 3 (X + 2)

Step-by-step explanation:

X - 5 = 3 (X + 2)

- Write It Out -

5 Less Than A Number:

X is the anonymous number

X - 5

This is equal to three times the sum of the number and two:

Sum = addition

Sum of a number and two

X + 2

Three times this:

3 (X + 2)

X - 5 is the same as this:

X - 5 = 3 (X + 2)

- I.A. -

Answer:

2 pens

Step-by-step explanation:

Let x represent the number of pens Linda buys.  Since they cost $2.65 each, this gives us the expression 2.65x.

Adding the cost of the card to this gives us the expression 2.65x+1.17.

She has a total of $9.00; this gives us the equation

2.65x+1.17 = 9.00

Subtract 1.17 from each side:

2.65x+1.17-1.17 = 9.00-1.17

2.65x = 7.83

Divide both sides by 2.65:

2.65x/2.65 = 7.83/2.65

x = 2.95

We cannot buy a portion of a pen, so the most she can buy is 2 pens.

Answer:

The answer is 2 pens.

Step-by-step explanation:

Total amount Linda has in her wallet = $9

Amount spent on buying a card = $1.17

So, amount left with Linda = [tex]9-1.17=7.83[/tex]

Now, she wants to buy pens that cost $2.65, so the maximum number of pens she can buy are = [tex]\frac{7.83}{2.65}= 2.9[/tex]

But, pens cannot be in decimal, so the maximum pens she can buy are 2.

The A) (5 + 3) × 20 is another expression to calculate the total amount spent

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

Given that Cindy bought 5 dresses for $20 each and 3 pairs of shoes for $20 each. She used this expression to calculate the total amount she spent.

(5 × 20) + (3 × 20)          

Multiply in the parentheses first

100 + 60                        

Now Add

= $160 total

Thus She spent $160 total

The A) (5 + 3) × 20 is another expression to calculate the total amount spent.

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The dimensions of the slab are:

Length = 3 meters

Width = 10 meters

To find the dimensions of the rectangular slab, we'll use the given area and the expressions for length and width.

Given:

Area = 30 square meters

Length = w

Width = 2w + 4

We can use the formula for the area of a rectangle to solve for w:

Area = Length × Width

Substituting the given values:

30 = w × (2w + 4)

Expanding the equation:

30 = 2w² + 4w

Rearranging the equation in standard quadratic form:

2w² + 4w - 30 = 0

Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

w = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 2, b = 4, and c = -30. Substituting these values into the formula:

w = (-4 ± √(4² - 4(2)(-30))) / (2(2))

w = (-4 ± √(16 + 240)) / 4

w = (-4 ± √256) / 4

w = (-4 ± 16) / 4

We have two possible solutions for w:

w = (-4 + 16) / 4 = 12 / 4 = 3

w = (-4 - 16) / 4 = -20 / 4 = -5

Since the width of the slab cannot be negative, we discard the second solution (w = -5).

Therefore, the width of the slab (w) is 3 meters.

Now, we can find the length using the given expression:

Length = w = 3 meters

Therefore, the dimensions of the slab are:

Length = 3 meters

Width = 2w + 4 = 2(3) + 4 = 6 + 4 = 10 meters

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The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

We have r = 7. Substitute:

[tex]C=2\pi(7)=\boxed{14\pi}[/tex]