Javier and ellema both get there cars wash and filled there gas tanks at the same gas station javier pays 26. 96 for a car wash and 5. 6 gallon of gas. Ellema pays 48. 62 for a car wash and 13. 2 gallons of gas

Answer:

m + 1/4 = 2/3

Step-by-step explanation:

Since they are equal lengths set them = to each other.

2/3 - 1/4= 5/12; 1/4 + m = 2/3

We know it's subtraction as the tape diagram above has 2 pieces, both smaller than the whole tape diagram below it. Also, knowing it has 2 pieces and that 1/4 is small than 2/3 help us know that it's subtraction.

I hope I've helped!

Answer:

10 feet, option D

Step-by-step explanation:

Got it right on my test.

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

the first number is 200

the second number is 10

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

We Fix it Computer Repair charges for it's services as per equation given as,

C = 30h + 90

Here, C = Total cost

h = Number of hours worked

This equation is in the form of a linear equation,

y = mx + b

Here, m = slope of the equation

And slope of the equation defines the unit rate

Therefore, charges for each hour of the first company = $30

Table given in the question represents the charges of another company John's Compute Repair.

There is a common difference in each successive term of the Total Cost of the table,

Common difference = 100 - 55 = 45

Therefore, this table represents a linear function.

Slope of the linear function passing through \((x_1,y_1)\) and \((x_2,y_2)\) is given by the expression,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Slope of the function represented by the table = \(\frac{100-55}{2-1}\)

                                                                              = 45

Therefore, per hour charges by the second company = $45

Difference in the charges = $45 - $30

                                           = $15

John's Computer Repair charges more by $15.

Option (4) is the correct option.

Answer : 5

Refer to the attachment

I hope this helps you...

Answer: $3.69

Step-by-step explanation:

Laura bought 4 1/3 bushels of apples.

Firs convert this to an improper fraction for easier calculation:

= 13/3 bushels of apples.

If cost $16 altogether, individually they must cost:

= Cost / Quantity purchased

= 16 ÷ 13/3

= 16 * 3/13

= $3.69

Note: You can divide by a fraction by multiplying the inverse of that fraction.

Answer:

x=$10000

Step-by-step explanation:

sorry if its wrong lol

$800 = $300 +.05(x), x being the amount that must be sold

Subtract 300 from both sides

$500= .05(x)

Divide by .05

Answer:

12.57 km

Step-by-step explanation:

Radius = 4 / 2 = 2 km

Circumference = 2πr = 2π(2) = 4π = 12.57 km

Answer:

12.56km

Step-by-step explanation:

C=2pi r

2r=d

C=pi d=4pi=4x3.14=12.56km

The median for the given continuous random variable is m = ±6.65

Let x be a continuous random variable over [a, b] with probability density function f.

Then the median of the x-values is that number m such that integral^ma f(x)dx = 1/2.

Find the median.

Given, f(x) = 1/242x and [0,22].

To find the median, we need to find the number m such that integral^ma f(x)dx = 1/2.

Now, let's calculate the integral,

∫f(x)dx = ∫1/242xdx

= ln|x|/242 + C

Applying the limits,\(∫^m_0 f(x)dx = ∫^0_m f(x)dx\)

∴ln|m|/242 + C

= 1/2 × ∫\(^22_0 f(x)dx\)

= 1/2 × ∫\(^22_0 1/242xdx\)

= 1/2 [ln(22) - ln(0)]/242

Now, we need to find m such that ln|m|/242

= [ln(22) - ln(0)]/484

ln|m| = ln(22) - ln(0.5)

ln|m| = ln(22/0.5)

m = ± √(22/0.5)

[Since the range is given from 0 to 22]

m = ± 6.65

Hence, the median is m = ±6.65

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Answer:

PV= $3,402.9

Step-by-step explanation:

Giving the following formula:

Future Vale (FV)= $5,000

Number of years (n) 5 years

Interest rate (i)= 8.5% compounded annually

To calculate the initial investment (PV), we need to use the following formula:

PV= FV / (1 + i)^n

PV= 5,000 / (1.085^5)

PV= $3,402.9

The amount 42,400 at 13% for 2 years will be 53,424 in total with the interest 11,024.

we calculate the simple interest by multiplying the principal amount by the number of periods and the interest rate. Simple interest does not compound, and you don’t have to pay interest on interest. In simple interest, the payment applies to the month’s interest, and the remainder of the payment will reduce the principal amount.
The simple interest calculated by the following mathematical formula:

A = P (1+rt)

P = Principal Amount

R = Rate of interest

t = Number of years

A = Total accrued amount (Both principal and the interest)

Interest = A – P.

A= 42,400(1+0.13×2)

A= 53,424

Interest = A-P

53,424- 42,400 = 11,024.

Thus the amount will be  53,424 and Interest will be 11,024.

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The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.

Amount is the total money paid back at the end of the time period for which it was borrowed.

The total amount formula in case of simple interest can also be written as: A = P + SI, where P = Principal and SI = Simple Interest.

In this question,

P =  ₹ 42400

R =  13%

T = 2 years

SI = P x R x T / 100

= 42400 x 13 x 2 / 100

= 424 x 13 x 2

SI = ₹ 11024

Amount = P + SI

            = ₹(42400 + 11024)

            = ₹ 53424

The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.

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Answer:

D

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary.

Thus statement D is not always true.

Answer:

675in

Step-by-step explanation:

not it

The expression is equivalent to this expression is  \(2x^2+3x\).

The correct option is A.

Given

The expression is;

= x(2x + 3)

Algebraic expressions consist of numbers and variables along with operational signs.

The equivalent expression is found by multiplying x and simplifying.

Therefore,

The expression is equivalent to this expression is;

\(\rm = x(2x + 3) \\\\= 2x\times x+ 3 \times x\\\\= 2x^2+3x\)

Hence, the expression is equivalent to this expression is  \(2x^2+3x\).

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Answer:

You can hack it double click and press inspect for answers

Step-by-step explanation:

The expression that models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds is d=9cosine[(π/2)t] option second is correct.

It is defined as the number of waves that crosses a fixed point in one second, known as frequency. The unit of frequency is per second.

The pendulum takes 2 seconds to swing a horizontal distance of 18 inches from right to left.

For swing back from left to right, it takes again 2 seconds to cover a horizontal distance of 18 inches.

The total time to complete the one cycle = 4 seconds

Thus, the frequency is the reciprocal of the time

f = 1/4

The expression for the angular speed is:

w = 2πf

w = 2π(1/4)

w = π/2

The distance of the pendulum from the center A = half the horizontal                                  

                                                                                 distance of 18 inches

A = 18/2

A = 9 inches

We know the cosine function for the pendulum is given by:

d = Acosine(wt)

d = 9cosine(πt/2)  or

d = 9cosine[(π/2)t]

Thus, the expression that models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds is d = 9cosine[(π/2)t]

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The angle between v and w is tan (inverse(0.8)).

In this problem, we are given two vectors v and w where v×w=(−4,−3,−5) and v⋅w=2. The angle between these two vectors is theta, which ranges from 0 to 180 degrees. We want to find tan(θ) which will be 180-90 degrees.

The problem can be solved by applying elementary trigonometry. For example, if we have tan(θ)=tan(−4)*sin(−3)+(tan(−5)*cos(−2)), then tan(θ)=2 and so v×w= −4+4i+5; also v⋅w= 1/i, so w×v= −3/i

The two vectors are perpendicular to each other. So if theta is between v and w, then the line segment with length 2 must pass through (0,−1). So tan(θ)=2/5=0.8.

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The question that can be answered by finding 4 1/2 ÷ 1/4 is this:

C. You are buying 1/4 pound containers of fruits at the store. How many containers do you need to buy to have 4 1/2 pounds of fruit?

The expression that is best represented by the question is statement C. Here, we are told to find how many containers we need to buy 4 1/2 pounds of fruit.

Let's assign the figure x to the number of containers we are to find. So,

1/4x = 4 1/2

Divide both sides by 1/4 to find x

x = 4 1/2 ÷ 1/4

Option C is the right answer.

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Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Step-by-step explanation:

Total money spent is Airline ticket + the sales tax

Airline ticket = 250

The sales tax = 250 * 7.5 / 100

=> 5 * 7.5 / 2

=> 37.5 / 2

=> 18.75

So, total = 250 + 18.75

=> 268.75

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The least whole number possibility for the third side is 8 cm. The greatest whole number possibility for the third side is 22 cm.

A triangle is a three-sided polygon. It is a geometric shape that has three edges and three vertices. Triangles can be classified based on their side lengths (such as equilateral, isosceles, or scalene) or based on the angles between their sides (such as acute, right, or obtuse). Triangles are a fundamental shape in geometry and are used in many branches of mathematics and physics. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Using this rule, we can find the possible range of values for the third side of the triangle.

The least possible length of the third side would be:

8.5cm + 15cm - 15cm = 8.5cm

The greatest possible length of the third side would be:

(8.5cm + 15cm) - 1cm = 22.5cm

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The equation of red graph is \(F(x) = 2 -x^{2}\).

The general equation of parabola is \(y = a(x-h)^{2} + k\).

Where,

(h, k) are the vertices of the parabola.

According to the given question.

We have two graph.

The blue and red graph both represents the equation of downward parabola.

Since, blue graph represents the equation of downward parabola.

Whose equation is given

\(G(x) = 5 - x^{2}..(i)\)

The general equation of a parabola is \(y = a(x-h)^{2} + k..(ii)\)

Where, (h, k) are the vertices of the parabola.

Compare the equation (i) with (ii)

We get

(h, k) = (0, 5) and a = -1.

Now, the red graph which also represents the downward parabola whose vertices are (0, 2)

Therefore, the equation red graph is given by

\(F(x) = a(x-0)^{2} + 2\)

⇒ \(F(x) = -1(x-0)^{2} + 2\)

⇒ \(F(x) = 2 - x^{2}\)

Hence, the equation of red graph is \(F(x) = 2 -x^{2}\).

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Answer:

b for the last question

Step-by-step explanation:

Answer:3

Step-by-step explanation:

The y intercept is the last number without a x

Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs

Answer:

x=30°

y=15°

z=150°

Step-by-step explanation:

2x+90+x=180°

2x=180°-90°

x=90/3

x=30

2y=x

y= 30/2

y=15°

2y°+z°=180°

2(15°)+z°=180°

z=180°-30°

z=150°

Hope it helps! :)

The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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ANSWER :

D.

EXPLANATION :

From the problem, we have a graph that goes to positive infinity as x goes to the positive infinity.

Note that in an exponential function :

The function goes to positive infinity if "a" is greater than 1

The function goes to negative infinity if "a" is less than 1

Since the given graph goes to positive infinity, we are looking for the function whose "a" is greater than 1.

We have Options A and D.

Next is to check the y-intercept.

The graph intersects the y-axis at (0, -3)

Substitute x = 0 and f(x) should be -3

For Option A :

For Option D :

Therefore, the answer is D.