help please :) i don't understand

The solution of the Equation is x = 1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the Equation:

x - 4 + 5 = 2

Now, solving for x we get

x + 1= 2

Now, subtract 1 from both side we get

x+ 1 -1 = 2 - 1

x = 1

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Answer:

8/27

Step-by-step explanation:

The probability of rolling a number less than 3 three times in a row on a number cube (or die) is 1/27.

The subject of this question is probability in mathematics. A number cube, often referred to as a die, has six faces numbered 1 through 6. If we are looking for the probability of rolling a number less than 3, we are looking for the probability of rolling a 1 or a 2. Out of six possibilities, two are successful outcomes (1 and 2), so the probability of rolling a number less than 3 in one roll is 2 out of 6, or 1/3.

However, since the number cube is rolled three times, we have to consider this probability for each roll. In probability, when we want to find the likelihood of multiple events all occurring, we multiply the probabilities of each individual event. Therefore, the probability of rolling a number less than 3 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.

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Answer:

Angles 1 & 4 are alternate interior angles.

The correct name for the relationship between angles 1 and 4 in the given scenario is that they are corresponding angles.

When two parallel lines are cut by a transversal, the following relationships exist between the angles formed:

1. Corresponding angles are equal. These are the angles that are in the same relative position at each intersection where a straight line crosses two others. In this case, angle 1 corresponds to angle 4 because they are both above the parallel lines and on the same side of the transversal.

2. Alternate interior angles are equal. These are the angles that are inside the parallel lines and on opposite sides of the transversal. Angle 3 would be the alternate interior angle to angle 1, not angle 4.

3. Alternate exterior angles are equal. These are the angles that are outside the parallel lines and on opposite sides of the transversal.

4. Consecutive interior angles (also known as same-side interior angles) are supplementary. These are the angles that are on the same side of the transversal and inside the parallel lines.

Since angle 1 and angle 4 are in the same relative position at each intersection (both are above the parallel lines and on the same side of the transversal), they are corresponding angles. Therefore, if the lines are parallel, angle 1 is equal to angle 4.

Answer:

c 21 / 29

Step-by-step explanation:

with reference angle α

base (b) = 21

hypotenuse (h) = 29

Now

cos α = b/h

= 21/ 29

Hope it will help you :)

Answer:

The answer is C) 21/29

 The formula for cosine is: adjacent side divided by the hypotenuse (adj/hyp) so 21/29

 Hope it help and good luck!

Step-by-step explanation:

Answer:

256y^3/x^2

Step-by-step explanation:

Answer:

a) rate of depreciation is 11.24%

b) original price of car = $18605.33

Step-by-step explanation:

The formula to apply is;

current price= original price *(1-r)^n where r is the rate of depreciation as a decimal and n is the time period

a) Find the rate of depreciation given that ;

The car was bought at $10,250 when it was 5 years old

After 2 years, the value was $8,075

Apply the formula ;

current price= original price *(1-r)^n

8,075=10,250* (1-r)²

8,075/10250 = (1-r)²

0.78780487804 =(1-r)²

√0.78780487804 =(1-r)

0.88758373016 = 1-r

r=1-0.88758373016

r=0.11241626983 ⇒ 11.24%

b) When the car was first bought, the price was;

Apply the formula;

current price= original price *(1-r)^n

10,250 =original price * (1-0.1124)⁵

10,250=O.P *(0.5509)

10,250/0.5509 = original price

$18605.33= original price

Answer:

Step-by-step explanation:

This function I believe has one x intercept which is (-2/13,0)

Answer:

Step-by-step explanation:

Just did it

Answer:

86 degrees

Step-by-step explanation:

So what you do is that since a triangle is 180 degrees added together you first subtract 180-29 and then you get 151 and then you subtract 151-65 and that's how I got 86

The measure of angle ∠1 is equivalent to 94°.

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Given is that a triangle has angles 29° and 65°.

We know that -

Exterior angle is equal to Sum of two interior opposite angles.

Mathematically -

∠E = ∠I{1} + ∠I{2}

∠1 = 29° + 65°

∠1 = 94°

Therefore, the measure of angle ∠1 is equivalent to 94°.

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Answer:

8 nickels

Step-by-step explanation:

Total Amount of Money owned by Jason=$10

1 nickel =$0.05

1 dime=$0.10

1 quarter =$0.25

If there were twice as many dimes as Nickels, then:

Also, there were twice as many quarters as dimes.

Therefore:

0.1d+0.05n+0.25q=100

Substituting d=2n and q=2d into the above relations

0.1(2n)+0.05n+0.25(2d)=10

0.2n+0.05n+0.25(2(2n))=10

0.2n+0.05n+1n=10

1.25n=10

n=8

q=2d=2X16=32

d=2n=2X8=16

Jason had 8 nickels

Answer:

$9.6

Step-by-step explanation:

tip $24×20% = 24×20/100 = 480/100 = $4.8

How much do they each pay ?

($24 - $4.8) : 2 = $19.2 : 2 = $9.6

Answer:

8750 registered voters

Step-by-step explanation:

Kindly refer to the attached image for explanations

The question asks to compare the unit rates of two joggers, John and Tyrone. John's unit rate is 5 miles per hour, as indicated by the equation y=5x. Without Tyrone's graph data, a direct comparison cannot be made.

The subject of the question involves comparing unit rates of two joggers, which requires an understanding of linear equations and graph interpretations in mathematics. Based on the given information, John's jogging pace is defined by the linear equation y=5x, where y is the number of miles he jogs and x is the number of hours he jogs. This equation suggests that John's unit rate, or his speed, is 5 miles per hour. However, to compare John's unit rate to Tyrone's, we need additional information about the slope of Tyrone's graph, which represents his speed.

Without the specific graph or a defined equation for Tyrone's pace, we can't make a direct comparison. Typically, the unit rate for a jogger is found by taking the slope of the position vs. time graph, which involves dividing the change in position (the rise) by the change in time (the run). If the slope of Tyrone's graph were provided, we could determine his speed and compare it to John's.

Remember, the unit rate is a measure of how much of something occurs per unit of another thing. In this case, it's the speed at which each jogger moves per hour. If additional data from Tyrone's graph were given, we would look for a constant rate of change or identify two points on the graph to calculate the slope (speed) and thus compare the unit rates of the two joggers.

3 divided by 0.05 is equal to 60.

Given that we need to find the value of 3 divided by 0.05,

To calculate 3 divided by 0.05, you can use the following formula:

3 ÷ 0.05 = [tex]\frac{3}{0.05}[/tex]

To divide by a decimal number like 0.05, you can multiply both the numerator and denominator by a power of 10 to eliminate the decimal point.

In this case, multiplying by 100 will work:

[tex]3 \div 0.05 = \frac{3}{0.05} \times\frac{100}{100}[/tex]

Now we can perform the division:

[tex]3 \div 0.05 = \frac{3\times 100}{0.05 \times100}[/tex]

Simplifying further:

[tex]3 \div 100 =[/tex] [tex]\frac{300}{5}[/tex]

Finally, performing the division:

300 / 5 = 60

Therefore, 3 divided by 0.05 is equal to 60.

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Answer:

3 i believe i have not done this in long time

Step-by-step explanation:

Step 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Answer:

3

Step-by-step explanation:

The formula for the IQR is [tex]Q_{3} -Q_{1}[/tex] so you would subtract quartile 1 from quartile 3

11 - 8 = 3

IQR = 3

Answer: There is NO correlation between international flights and a flight being late.

Step-by-step explanation:

See attachment for rationale and step by step.

Answer:

23

Step-by-step explanation:

-The length of the cubes side is (x-5) and the total surface area is 1944 sq units.

-We apply the formula for surface area and equate to solve for x:

[tex]A=6s^2\\\\1944=6(x-5)^2\\\\324=(x-5)^2\\\\324=x^2-10x+25[/tex]

#Equate to zero as below:

[tex]324=x^2-10x+25\\\\x^2-10x+25-324=0\\\\x^2-10x-299=0\\\\\# Quadratic \ Formula:\\\\x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\=\frac{10\pm\sqrt{(-10)^2-4(1\times-299)}}{2\times1}\\\\x_1=23, \ \ \ x_2=-13[/tex]

length dimensions are always positive.

Hence, the value of x is 23

3.24 as a simplified fraction with 4 repeating is 146/45.

A fraction represents a part of a whole or, more generally, any number of equal parts.

Let x represent the value of the number.

So,

x= 3.2[tex]\bar4[/tex]

Multiplying both side by 10 we get

10x = 32.44...

Subtracting both above equations

10x -x = 32.44..-3.244..

9x= 29.2

x= 29.2/ 9

x= 146/45

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Final answer:

3.24 with the digit 4 repeating can be converted into the simplified fraction ⅔, which is equivalent to 3 ½.

Explanation:

The student is asking how to express the decimal 3.24 with the digit 4 repeating as a simplified fraction. The repeating decimal can be represented as 3.244444... or 3.24 bar.

To convert this repeating decimal to a fraction, we first denote x = 3.24. To eliminate the repeating part, we can multiply x by 100 to shift the decimal two places to the right, getting 100x = 324.44. Then, we subtract the original equation from this new equation (100x - x) to remove the repeating decimal. This results in 99x = 321, which simplifies to x = ⅔ or x = 3 ½ in fraction form. Therefore, 3.24 bar as a simplified fraction is ⅔.

Answer:

[tex]2.226X 10^8[/tex]

Step-by-step explanation:

We are to determine the value of [tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex] in scientific notation.

Given:

[tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex]

STEP 1: Remove the brackets.

[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=5.3 X 10^4X4.2 X 10 ^ 3[/tex]

STEP 2: Separate the numbers and index of 10.

[tex]=5.3 X4.2X 10^4 X 10 ^ 3[/tex]

STEP 3: Multiply the Numbers and Index of 10

[tex]=22.26X 10^{4+3}[/tex]

STEP 4: Simplify and write in Scientific notation

[tex]22.26=2.226X10\\Therefore:\\22.26X 10^{4+3}=2.226X10X 10^{4+3}=2.226X10X 10^7=2.226X 10^8[/tex]

Thus:

[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=2.226X 10^8[/tex] in scientific notation

Answer:

C.) 2.226 times 10^8

Step-by-step explanation:

5.3* 10^4    * 4.2 * 10^3

5.3* 4.2 =22.26

10^(4+3) = 10^7

22.26*10^7

2.226 * 10 ^(7+1)

=2.226*10^8

Samadhi paid $1.32 more than Karega for her chocolate.

The subject of this question is in Mathematics, specifically it involves unit conversion and arithmetic calculations. We know that chocolate costs $17.60 per kilogram. But Karega and Samadhi are buying chocolate in grams which means we need to convert the cost from kilograms to grams. 1 kilogram is equal to 1000 grams. So, cost of chocolate per gram = $17.60/1000 = $0.0176.

Karega is buying 25 grams of chocolate, so the cost = 25 * $0.0176 = $0.44. Samadhi is buying 100 grams of chocolate, so the cost =$0.0176 * 100 = $1.76. To find out how much more Samadhi paid for her chocolate compared to Karega, we subtract Karega's cost from Samadhi's cost which gives $1.76 - $0.44 = $1.32.

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Answer:

$4.75

Step-by-step explanation:

1milliliter = 1mL = 1.0*10^-3L

50mL = 50*10^-3L = 0.05L.

But 0.05L costs $0.19 to refill,

How much will 1.25L cost?

0.05L = 0.19

1.25 = x

X = (1.25*0.19) / 0.05

X = $4.75

It will cost her $4.75 to refill 1.25L of soap

Answer:

$9.5

Step-by-step explanation:

Each dispenser holds 1.25 liters, so we have a total of 1.25*2 = 2.5 liters to be filled.

Each 50 milliliters of soap, that is, 0.05 liters, costs $0.19, so we can solve now using a rule of three:

0.05 liters of soap -> $0.19

2.5 liters of soap -> X

0.05/2.5 = 0.19/X

X = 2.5*0.19/0.05 = $9.5

It will cost $9.5 to fill both dispensers with soap.

Answer: $4450.50

Step-by-step explanation:

Just guessed and got it right

The premium of the policy will be $4451.3.

A person or organisation and an insurance company enter into a contract known as insurance whereby the person or organisation pays the insurance company a premium in exchange for financial protection or reimbursement in the case of an unanticipated loss or event. Up to the limitations outlined in the insurance policy, the insurance company promises to pay for any covered losses or damages. Insurance can be used to guard against a range of hazards, such as liability, property damage, death, and injury.

The premium of the policy can be calculated as:

Premium = (Probability of death x Benefit amount) + Administrative costs

So,

Premium = (0.175452 x 25000) + 65

Premium = 4,386.3 + 65

Premium = $4,451.3.

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Answer:

True because no matter what angle or what parallelogram they are equal

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

V = 113.04

Step-by-step explanation:

V=pi r^2 h

V= (3.14)(4)(9)

V=113.04

Volume of the cylinder is 113.14 cubic unit .

Let, radius of the cylinder = r unit

and height of the cylinder = h unit

∴ Volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit

Given, radius of the cylinder (h) = 9 unit

and given base radius (r) = 2 unit

∴ Volume of the given cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit

  = [tex]\frac{22}{7}[/tex]×[tex]2^{2}[/tex]×9 cubic unit     [ ∵[tex]\pi[/tex]=[tex]\frac{22}{7}[/tex]]

  = [tex]\frac{792}{7}[/tex] cubic unit

  = 113.14 cubic unit

113.14 cubic unit is the volume of the given cylinder .

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Answer:

.004 %

Step-by-step explanation:

Answer:

7 word searches

Step-by-step explanation:

To solve this problem, all we have to do is take the total amount of minutes and divide it by the amount of minutes it takes Evan to complete one word search.

98/14 = 7

Evan can complete 7 word searches in 98 minutes.

He can search 7 words.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Evan 14 minutes to complete a word search

Evan can complete in 98 minutes

=98/14

=7

Hence, Evan can search 7 words in 98 minutes.

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Answer:

it can be a triangle and a rectangle

Step-by-step explanation:

Answer:

triangle and an rectangle

Step-by-step explanation:

a) The value of x as calculated in the image is 45 degrees.

b) For the lines AD and BC to be parallel in a quadrilateral, the opposite angles need to be supplementary (i.e., their sum should be 180 degrees).

In this case, angle A is:

2x = 245 = 90 degrees

and angle D is:

3x = 345 = 135 degrees.

Since 90 + 135 = 225 degrees, which is not equal to 180 degrees, the lines AD and BC would not be parallel when ABCD is drawn to scale.

Answer:

A. incorrect. He has to divide 76 by 19, instead of subtract 19 to 76.

B. This equation has one solution. v=4

Step-by-step explanation:

Hi, Martin’s answer is incorrect.

A. He has to divide 76 by 19, instead of subtract 19 to 76.

The correct steps are:

19v = 76  

Since 19 is multiplying the variable, to eliminate it we have to divide by 19.

v = 76/19

v = 4

B. This equation has one solution. It’s v=4

Feel free to ask for more if needed or if you did not understand something.