Charmaine spent $9 on fruit at the grocery store. She spent a total of $30 at the store. What percentage of the total did she spend on fruit?

Answer:

y = 0

x = -4

( x, y ) = ( -4 , 0 )

Step-by-step explanation:

y = 5x + 20

y = -2x - 8

Substitute

5x + 20 = -2x - 8

Add 8 on both sides

5x + 20 + 8 = -2x - 8 + 8

5x + 28 = -2x

Subtract 5x on both sides

5x - 5x + 28 = -2x - 5x

28 = -7x

Divide by -7 on both sides

28/-7 = -7x/-7

-4 = x

Now that you have x, you can substitute it in one of the equations that was given to find the value of y.

y = 5x + 20

y = 5(-4) + 20

y = -20 + 20

y = 0

Or....

y = -2x - 8

y = -2(-4) - 8

y = 8 - 8

y = 0

They will both be 0 no matter what

Point form = ( -4, 0 )

Hope this helped

Answer:

3/4 75/100 12/16 24/32

Step-by-step explanation:

9/12 is the equivalent of 75% and fractions that express the same proportions.

The probability that a student has a brother or a sister is: 92%

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

We are given the parameters as:

Percentage that have a brother = 75%

Percentage that have a sister = 82%

Percentage that have a brother and a sister = 65%

Thus:

P(Brother or Sister) = 0.75 + 0.82 - 0.65

P(Brother or Sister) = 0.92 = 92%

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Answer:

how do you plot?

Step-by-step explanation:

To the top right quadrant, the second bottom square, moving 4 units up.

\(y = - 3x^{2} + 18x + 10 \\ \frac{d}{dx}( - 3x^{2} + 18x + 10) \\ - 6x + 18 = 0 \\ - 6x = - 18 \\ x = 3\)

The axis of symmetry for parabola is x = 3.

Using derivative to solve for axis od symmetry is easier.

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

41.24

Step-by-step explanation:

54.99 * .25 = 13.7475

54.99 - 13.7475 =

41.2425

Answer:

$41.24

Step-by-step explanation:

54.99 x 0.25 = 13.7475

54.99 - 13.7475 = 41.2425

41.2425 ≈ 41.24

hope this helps

have a good day

The function g(x) is given by:

g(x) = (68/π) (1/x²) sin(π/4x²).

We have,

To find the integral of the function g(x) = ∫[0, x] (-34t cos(π/4t²)) dt, we can evaluate the integral using the fundamental theorem of calculus.

The antiderivative of -34t cos(π/4t²) with respect to t can be found by applying the chain rule in reverse.

We set u = π/4t² and find du/dt = -π/2t³.

Rearranging, we have dt = -(2/π) x (1/t³) du.

Substituting back into the integral:

g(x) = ∫[0, x] (-34tcos(π/4t²)) dt

= ∫[0, x] (-34tcos(u)) x -(2/π) x (1/t³) x du

= (68/π) x ∫[0, x] (cos(u)/t²) du.

Now, we can evaluate this integral.

The integral of (cos(u)/t²) with respect to u can be found using basic integration rules:

∫ (cos(u)/t²) du = (1/t²) x ∫ cos(u) du

= (1/t²) x sin(u) + C,

where C is the constant of integration.

Substituting back into the expression for g(x):

g(x) = (68/π)  [(1/t²) sin(u)] evaluated from 0 to x

= (68/π)  [(1/x²)  sin(π/4x²) - (1/0²)  sin(π/4 x 0²)]

= (68/π)  [(1/x²)  sin(π/4x²) - 0]

= (68/π) (1/x²) sin(π/4x²).

Therefore,

The function g(x) is given by:

g(x) = (68/π) (1/x²) sin(π/4x²).

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If we simplify the quotient of algebraic expressions we get the following:

therefore, the restriction is x different of 0

The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.

To answer your question, let's break it down into the different expressions:

1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.

2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.

3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.

4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.

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Answer:

y = 12

Step-by-step explanation:

if y varies directly with x then we need to find the constant of variation, known as 'k'

y = kx

8/3 = 1/4k

divide each side by 1/4 to find 'k':

8/3 ÷ 1/4 is the same as 8/3 x 4/1, which is 32/3

now we can use 32/3 and 9/8 to find 'y':

y = 32/3 x 9/8

y = 32·9/3·8

y = 288/24

y = 12

Answer:

$20

Step-by-step explanation:

So since there are 4 three bagels in a dozen, and each three bagels are 5 dollars then you multiply 5 times 4.

You can also find how much it is for 1 bagel by divided 5 dollars by 3 bagels. Multiply that by 12.

Hope this helps! (^-^)

Answer:

20$

Step-by-step explanation:

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Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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The standard form of the equation of the hyperbola with foci at (±5, 0) and asymptotes y = ±4/3x is (x^2 / 9) - (y^2 / 16) = 1.

To find the standard form of the equation of a hyperbola, we need to determine the distances and slopes associated with its foci and asymptotes.

The foci of the hyperbola are given as (±5, 0). The distance between the center (origin) and each focus is denoted by c. In this case, c = 5.

The asymptotes of the hyperbola are represented by the equations y = ±(a / b)x, where a and b are the lengths of the transverse and conjugate axes, respectively. The slopes of the asymptotes are given as ±4/3.

From the given information, we can determine the values of a and b. The distance between the center and each vertex is a, and since the transverse axis is horizontal, a = 5.

Using the relationship a^2 + b^2 = c^2, we can find b: (5^2) + b^2 = (5^2) + (4/3)^2. Solving this equation gives b = 4.

Finally, we can write the standard form of the equation of the hyperbola as (x^2 / a^2) - (y^2 / b^2) = 1. Substituting the values of a and b, we obtain (x^2 / 9) - (y^2 / 16) = 1.

Therefore, the standard form of the equation of the hyperbola is (x^2 / 9) - (y^2 / 16) = 1.

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Answer:

Area=15in²

Perimeter=16in

Step-by-step explanation:

area=L×W

Perimeter=L+L+W+W

Answer:

Your answer is

Area  =  ( 5 * 3) = 15 inch ^2

Perimeter = 2(5+3) = 16 inch

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Step-by-step explanation:

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

The amount invested at 14% is $4144 and the amount invested at 12% is $9894.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Investment at 14%= $14,038

Investment at 12%= $984.34

Now,

Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:

x + y = 14038 (total amount invested)

0.14x - 0.12y = 984.34 (difference in interest)

We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:

0.02x = 82.88

x = 4144

Then we can plug x into the first equation and get:

y = 14038 - 4144

y = 9894

Therefore, the simple interest will be $4144 and $9894.

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None of the options are correct. And the given triangle is a right-angle triangle.

Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,

Thus, None of the options are correct. And the given triangle is a right-angle triangle.

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From calculations, we can say that the given tiles will not fit together perfectly.

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [(n - 2) * 180]/n

Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°

Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°

Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135° = 363°

Therefore, given tiles will not fit together perfectly.

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Answer:

Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.

Step-by-step explanation:

So as to say that irrational numbers can't be a squared root because of there decimals.

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:

y - x = 3 (Expression that represents age difference between Fatimah and Nadia)

x + 3 = y, where x, y > 0 and y > x. (1)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

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Answer:2 hours

Step-by-step explanation:3×2=6 sorry if its wrong

The number of hours when he has to walk 6 miles will be 2 hours.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

If you walk three miles per hour to school. The number of hours when he has to walk 6 miles will be given as,

3 = 6 / T

Simplify the equation, then we have

3 = 6 / T

T = 6 / 3

T = 2 hours

The number of hours when he has to walk 6 miles will be 2 hours.

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Answer:

Step-by-step explanation:

F TV day job cut hv h the BBC gg was the only time I had a chance of playing it for the last night of my life lol I love you and you are ok with your such good friends I know I love it but it’s ok I’m not sure how to get it away I don’t think you can get me to type in the car.

Answer:

The answer is 16.8 ( corr. to 3 sig. fig ) so the closest answer should be 84/5cm

Answer:

lateral surface area of cylinder = 2πrh

so , 2 × 22/7 × r × 10 = 1056

440r/ 7 = 1056

r =( 1056 × 7 )440 = 84/5 cm or 16.8 cm

The number of students in the group = 13

for this question,

Let n be the number of students.

Each student received a bacon cheeseburger and milkshake, and the total bill was $104.00

We need to find the total number of students in the group.

A Bacon Cheeseburger costs $4.75 and Milkshake costs $3.25.

Total cost of a bacon cheeseburger and milkshake is:

$4.75 + $3.25 = $8

The total bill was $104.00

So, we get an equation,

⇒ 8 × n = 104

By unitary method,

⇒ n = 104/8

⇒ n = 13

Therefore, the number of students in the group = 13

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The translated formula is 59 = 23 + v, where v represents Vidya's height.

To translate the sentence "59 is the sum of 23 and Vidya's height" into an equation using the variable v to represent Vidya's height, we can use the following formula:

59 = 23 + v

Here, we are saying that the number 59 is equal to the sum of 23 and Vidya's height (which we are representing with the variable v).

To summarize, we can say that we have translated the given sentence into an equation using the formula 59 = 23 + v, where v represents Vidya's height.

What is the mathematical variable?

a symbol (often a letter) used in algebra to represent a variable with an undetermined numerical value. The following variables are frequently used: t (time), r (radius), s (arc length), x and y (real-number unknowns), and z (complex-number unknowns).

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Answer:

9 cm.

Step-by-step explanation:

The formula for the volume of a cylinder is base×height

If the base is a circle, then the formula is V=r²π×h, because the formula for the area of a circle is r²π.

We already have the area of the base, which equates to 22cm², and its volume, now all we need to do is find the height.

198=22×h

h=198/22

h=9 cm

Hope this helps!