A ladder leaning against the side of a building touches the building at a point 12 meters from the ground. If the foot of the ladder is 18 meters from the base of the building, what is the slope of the ladder?

Answer:

the second value is ten times higher then the refference one

The value of the digit 2 in the number 32,000 is greater than the value of the digit 2 in the number 26,000 by a factor of 10.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The value of a digit in a number depends on its place value.

In the number 32,000, the digit 2 is in the ten thousands place, which has a value of 20,000.

In the number 26,000, the digit 2 is in the thousands place, which has a value of 2,000.

Therefore,

The value of the digit 2 in the number 32,000 is 10 times greater than the value of the digit 2 in the number 26,000.

This is because the ten thousands place is 10 times greater than the thousands place.

In other words,

The digit 2 in the number 32,000 represents 20,000 while the digit 2 in the number 26,000 represents only 2,000.

Thus,

The value of the digit 2 in the number 32,000 is greater than the value of the digit 2 in the number 26,000 by a factor of 10.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

10/7

Step-by-step explanation:

Step 1: Subtract 12x from both sides.

−2x+5−12x=12x−15−12x

−14x+5=−15

Step 2: Subtract 5 from both sides.

−14x+5−5=−15−5

−14x=−20

Step 3: Divide both sides by -14.

−14x/14=−20/14

x=10/7

You get 10 over 7 because you simplify 20 over 14 by dividing them by 2 which would give you 10/7.

Answer: 0.1

Step-by-step explanation: you only need to add zero to the first value,

for example if you have 1/10, you add zero, getting the next equation

10/10 if you add a zero to value you can add a zero to the result getting the following result

10/10=0. in this point both values are divisible

and 10 between 10 is equal to 1

as you finish add zeros you can add a point and after the 1 getting this result

1/10 = 0.1

Answer:

No, because the two shorter sides added must be longer than the longest side.

Also 1 squared plus 2 squared is not equal to 5 squared.

Answer:

A credit score is a numerical expression based on a level analysis of a person's credit files, to represent the creditworthiness of an individual. A credit score is primarily based on a credit report, information typically sourced from credit bureaus.

Answer:

a number assigned to a person that indicates to lenders their capacity to repay a loan.

Step-by-step explanation:

Answer:

45 less than twice a number is 5 times that number

Step-by-step explanation:

n = 15

Use one of the four fundamental arithmetic operations to add, subtract, multiply, or divide two or more integers. For challenging computations, we use the PEMDAS approach.

Given five times n is equals to 45 less than twice the number of n.

hence,

5 * n = 2* n + 45

3* n = 45

n = 15

Therefore the value of the n in the given problem is 15.

Learn more about Arithmetic operations here:

brainly.com/question/12278115

#SPJ2

Answer:

x, 2/3(cx+1/2)- 1/4= 5/2 : x= 29/8c; c \neq 0

Step-by-step explanation:

D. The value of x in terms of c is  [tex]x=\frac{29}{8c}[/tex]

The given equation is [tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}=\frac{5}{2}[/tex]

Solving we get,

First we have to add 1/4 in both sides,

[tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{5}{2}+\frac{1}{4}[/tex]

⇒ [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{10+1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{11}{4}[/tex]

⇒  [tex](cx+ \frac{1}{2})=\frac{11}{4}*\frac{3}{2}[/tex]

⇒ [tex](cx+\frac{1}{2} )=\frac{33}{8}[/tex]

⇒ [tex]cx = \frac{33}{8} -\frac{1}{2}[/tex]

⇒ [tex]cx = \frac{33-4}{8}[/tex]

⇒ [tex]cx=\frac{29}{8}[/tex]

⇒ [tex]x=\frac{29}{8c}[/tex]

Learn more about equation here :

https://brainly.com/question/27893282

#SPJ2

Answer:

$12.80

Step-by-step explanation:

Sara bought 4 pounds of coffee.

Each pound (lb) costs $3.20

To find the total cost, multiply the cost per pound ($3.20) with the amount of pounds Sara is going to buy (4):

4 x 3.20 = $12.80

$12.80 would be the total cost before tax.

~

Answer:

12.8

Step-by-step explanation:

Its proportions: 1 pound equals 3.20, 4 poundes equals x.

3.20 (cost per pound) x 4 (how many pounds) = 12.8 (answer)

The cost of one roll of plain wrapping paper is found to be $10, and one roll of holiday wrapping paper is $18.

We have two equations based on the given information:

Emily's sales: 14 rolls of plain wrapping paper + 6 rolls of holiday wrapping paper = $248

Joe's sales: 10 rolls of plain wrapping paper + 12 rolls of holiday wrapping paper = $316

Using algebra to solve the system, we represent the cost of one roll of plain wrapping paper as p, and the cost of one roll of holiday wrapping paper as h. Thus, the equations become:

14p + 6h = 248

10p + 12h = 316

We use the method of substitution or elimination to find the value of p and h. For instance, using elimination, we can multiply the first equation by 2 to make the coefficients of h the same:

(14p + 6h) * 2 = 248 * 2

28p + 12h = 496

Then we subtract the second equation from this new equation:

(28p + 12h) - (10p + 12h) = 496 - 316

18p = 180

p = $10

With the cost of plain wrapping paper found, substitute p = $10 into one of the original equations to find h:

10 * 10 + 12h = 316

12h = 216

h = $18

The cost of one roll of plain wrapping paper is $10, and the cost of one roll of holiday wrapping paper is $18.

The slope of this graph is rise over run which means how much your distance x has between the 2 points and how much y increased between those 2 points. So it starts at (1,-2) and ends at (2,1). So x had a run of 1 and y had a rise of 3 we have 3/1 which is equivalent to 3, so the answer would be B.

Answer:

C

Step-by-step explanation:

Given the complex number a ± bi, then the complex conjugate is

a ∓ bi

Note the real part remains unchanged while the sign of the imaginary part is reversed, thus

The conjugate of 7 - i  is 7 + i → C

Answer:

○ C 7 + i ohms

Step-by-step explanation:

Conjugates are expressions with OPPOSITE operation symbols, so the conjugate of 7 - i is 7 + i.

I am joyous to assist you anytime.

Answer:

238.095238 is correct

Answer:$13,125

Step-by-step explanation:

a:

Mean is found by adding all the numbers in a data set, then dividing by the amount of numbers added.

Group 1 Mean: 42

Group 2 Mean: 52

b:

The only extreme value in these data sets is 150. An extreme value makes a mean that makes no sense. It distorts it.

c:

No. Group 2 is not a good indication of the typical salary in the group. It has a value that is a lot higher than all the other salaries in the group.  

A solution would be:

[tex](1,32)[/tex]

This is a linear equation written in Slope-Intercept form. Recall that this form, in general, is written as follows:

[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:slope \\ \\ b:y-intercept[/tex]

In this case, we have the following equation:

[tex]y=-4x+36 \\ \\ \\ Where: \\ \\ m=-4 \\ \\ b=36[/tex]

In order to find a solution, let's set [tex]x=1[/tex], so the y-value will be:

[tex]y=-4(1)+36 \\ \\ y=-4+36 \\ \\ y=32[/tex]

So, a  solution to the linear equation is the point [tex](1,32)[/tex]

Final answer:

The solutions to y = -4x + 36 are x = 3 resulting in y = 24, and x = -7 resulting in y = 64, both of which have been verified to be correct by substitution back into the original equation.

Explanation:

To find a solution to the linear equation y = -4x + 36, we can substitute any value for x and solve for y, or vice versa. Let's use the given solutions x = 3 and x = -7 to find the corresponding values for y.

Substitute x = 3 into the equation: y = -4(3) + 36, which simplifies to y = -12 + 36, resulting in y = 24.

Substitute x = -7 into the equation: y = -4(-7) + 36, which simplifies to y = 28 + 36, resulting in y = 64.

To check the validity of these solutions, we back-substitute them into the original equation. For x = 3, the equation becomes 24 = -4(3) + 36, which simplifies to 24 = 24, confirming the first solution. Similarly, for x = -7, the equation becomes 64 = -4(-7) + 36, simplifying to 64 = 64, confirming the second solution. Both substitutions lead to an identity, verifying the correctness of the solutions.

Answer:

Step-by-step explanation:

(a) Answer below

[tex]v = u + at[/tex]

[tex](10) = u + (2)(3)[/tex]

[tex]10 = u + 6[/tex]

[tex]u = 4[/tex]

(b) Answer below

[tex]v = u + at[/tex]

[tex](29) = (5) + (4)t[/tex]

[tex]29 = 5 + 4t[/tex]

[tex]24 = 4t[/tex]

[tex]t = 6[/tex]

[tex]\text{Hello there!}\\\\\text{Plug in and solve:}\\\\1. \\\\10=u+2(3)\\\\10=u+6\\\\\boxed{4=u}\\\\2.\\\\29=5+4(t)\\\\24=4(t)\\\\\text{Divide by 4}\\\\\boxed{6=t}[/tex]

Answer:

No Solution

Step-by-step explanation:

-1/7(14+28p)-13=4(1/2p-3)-6p

-2-4p-13=2p-12-6p

rearrange the question so like terms are next to each other

-2-13-4p=2p-6p-12

-15-4p=-4p-12

add 12 to both sides

-3-4p=-4p

add 4p to both sides

-3=0

No solution

Answer:

something is wrong in the equation

Step-by-step explanation:

Answer:

1.65 X 10^-3 (i don't know if your teacher wants you to also add the unit at the end, but if your teacher does, then just add metric ton at the end. :-) )

Step-by-step explanation:

We want to bring the decimal point to the right of the first number, so you move the decimal point 3 times to the right, which would give you 1.65 metric ton.

So you should know that moving a decimal point to the right would make the power negative, and moving the decimal point to the left would make the power positive.

In this situation, the power would be negative, and a negative three, because you moved the decimal point 3 times to the right.

Hope this helped :-) <3

Answer:

x=-5,x=5/3 Brainliest please? Thank you! <3

Step-by-step explanation:

x-5=2x ~ x-5=-2x

-5=x ~ x=5/3

Triangle MNO was dilated (increased) and then rotated to create triangle YHO.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure to create an image.

Triangle MNO was dilated (increased) and then rotated to create triangle YHO.

Find out more on transformation at: https://brainly.com/question/1548871

Answer:

14/21

Step-by-step explanation:

Total marbles = 7+8+6 = 21

7 Red

8 Green

6 Blue

Probability of choosing Red = 7/21

Probability of choosing Green = 8/21

Probability of choosing Blue = 6/21

Probability of choosing Green or Blue = 8/21 + 6/21 = 14/21

Final answer:

The perimeter of the rectangle is calculated using the formula P = 2l + 2w, converting the height from millimeters to centimeters and then applying the values to get a perimeter of 70.6 cm.

Explanation:

To calculate the perimeter of a rectangle, we use the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. In this case, the rectangle's length is given as 30 cm, but the height (which can be considered as the width in the context of the perimeter) is given in millimeters. First, we need to convert the height to centimeters by dividing the number of millimeters by 10, because there are 10 millimeters in a centimeter. So, 53 mm is equivalent to 5.3 cm. Now, we apply the formula to find the perimeter:

P = 2 × 30 cm + 2 × 5.3 cm = 60 cm + 10.6 cm = 70.6 cm.

Therefore, the perimeter of the rectangle is 70.6 cm.

Answer: 215

Step-by-step explanation:

The cofunction of cos is sin(90-x)

90 degrees is equal to PI/2

The cofunction becomes sin(PI/2 - 2PI/9)

Rewrite both fractions to have a common denominator:

PI/2 = 9PI/18

2PI/9 = 4PI/18

Now you have sin(9PI/18 - 4PI/18)

Simplify:

Sin(5PI/18)

The cofunction of cos 2pi/9 is sin(pi/2 - 2pi/9), which is a basic concept in trigonometry.

The student is asking about the cofunction of

cos 2pi/9

. In trigonometry, the cofunction of a function is basically the complementary function of 90 degrees minus the original function. In this case, the cofunction of cos is sin, so to find the cofunction of cos 2pi/9, you need to find sin(90 - 2pi/9). However, since we are dealing with radians here, rather than degrees, we will be using pi/2 instead of 90 degrees. Therefore, the cofunction of cos 2pi/9 is

sin(pi/2 - 2pi/9)

.

https://brainly.com/question/35503118

#SPJ3

Answer:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube. 

                        120 = e³

The value of e from the equation is approximately 5. Thus, there are approximately 5 layers of 1-inch cubes. 

Read more on Brainly.com - https://brainly.com/question/3427563#readmoreStep-by-step explanation:

Answer:

The price of the almonds is $0.38 per pound.

Step-by-step explanation:

Gabby measures out 55 pounds of almonds at the grocery store bulk section.

At checkout the total cost is $20.90.

So, the price per pound will be = [tex]\frac{20.90}{55}[/tex]

= $0.38 per pound.

Therefore, the price of the almonds is $0.38 per pound.

Answer:

x = 90

c = 11

d = 11

Step-by-step explanation:

For this, we just need to use algebra to solve for x.

(x / 3) - 4 = 26 | First we add 4 to both sides

x / 3 = 30 | Then we multiply both sides by 3

x = 90.

For the others, it's the same.

-8 + 10c = 102 | Subtract -8 from both sides, or add 8

10c = 110 | Divide both sides by 10

c = 11

2.5d + 7.5 = 20 | Subtract 7.5 from both sides

2.5d = 27.5 | Divide both sides by 2.5

d = 11

Answer:

Step-by-step explanation:

The given expression is

[tex]\frac{x^{3}-1}{x^{3}+x^{2}+x}[/tex]

This expression is rational, which means the denominator must be different to zero, otherwise, the function will be undefined. So, let's find if there are values that make the denominator zero.

[tex]\frac{x^{3}-1}{x^{3}+x^{2}+x}=\frac{x^{3}-1}{x(x^{2}+x+1)}[/tex]

So, if we evaluate the expression with [tex]x=0[/tex], we would have

[tex]\frac{x^{3}-1}{x(x^{2}+x+1)}=\frac{0^{3}-1}{0(0^{2}+0+1)}=\frac{-1}{0}[/tex]

As you can observe, there must be one exclusion, because it makes the expression undefined.

Therefore, the answer is true.

Answer:

Katie can bake 48 muffins in 90 minutes.

Step-by-step explanation:

So, as you can see, it says she can bake 24 muffins in 45 mins. Some you make that a fraction:

24/45. The question asks how many muffins she can bake in 90 mins. So, next to the first fraction (proportion) write x/90.

Why x? Because you don't know how many muffins she made, so you'll use that to replace the number for now. X is the numerator because on the last proportion, you put the number of minutes as the denominator. X= how many muffins Katie baked.

So, you cross multiply. Multiply one numerator by the others denominator. Like this: 24×90 and 45×X. Write the answers under the denominator (Ex: 24 X

45 90

-----------

45x = 2160

Now, separate the variable (x) and the constant (45). To do something you must divide. Divide it by 45 to get x. Then, place your equal sign on the right side of that. Now, whatever you do to one side of the equal sign you must do to the other. So, divide 2160 by 45. If done coorectly, you should've gotten 48. X=48 muffins. Therefore, Katie baked 48 muffins.

Sorry about the length! I kinda got carried away lol

Also, for the explanation for how you know, my work above should explain that.

Well, I hope I was helpful!

To achieve an overall interest of 10.6% on her $3,000 investment, Hattie should put $900 into an account with a 12% interest rate and $2,100 into an account with a 10% interest rate.

Let's denote the amount of money Hattie puts in the 12% interest account as x, and the amount she puts in the 10% interest account as 3000 - x. Her aim is that the total interest she earns from both accounts is 10.6% of her total investment ($3,000).

So, 0.12x (interest from the first account) + 0.10(3000-x) (interest from the second account) should equal 0.106*3000 (her total desired income).

By solving this equation we can determine the amount of money Hattie should place in each account:

So, Hattie should put $900 in the 12% account and the rest, which is $2,100, in the 10% account to get her goal of 10.6% total interest.

https://brainly.com/question/29011216

#SPJ2

To solve this problem, set up a system of equations using the amount of money Hattie puts into each account and the total interest earned. Solve the system to find the values of x and y.

To solve this problem, we can set up a system of equations. Let's call the amount of money Hattie puts into the account that earns 12% per year x, and the amount of money she puts into the account that earns 10% per year y. We know that x + y = $3,000 (since she has $3,000 to invest). We also know that the total interest earned is equal to 10.6% of $3,000, which is 0.106 * $3,000 = $318.

The interest earned from the account that earns 12% per year is 0.12x, and the interest earned from the account that earns 10% per year is 0.1y. We can set up another equation based on this: 0.12x + 0.1y = $318.

Now we have a system of equations: x + y = $3,000 and 0.12x + 0.1y = $318. We can solve this system using substitution or elimination to find the values of x and y.

https://brainly.com/question/29050831

#SPJ12

Answer:

the total amount spent was$2.34 cents

Answer:

He spent $ 2.34 in all.

Step-by-step explanation:

Given,

The amount spent on the bottle of paint = $ 1.89,

While, the amount spent on the brush = $ 0.45,

Hence, the total amount spent = amount spent on paint + amount spent on brush

[tex]= 1.89 + 0.45[/tex]

[tex]= \$ 2.34[/tex]

i.e. Lawrence spent total $ 2.34 in both.