5/9x-3/7 in fraction form

Eva should pour you a drink from jug B for a stronger cranberry taste, as it has a higher ratio of cranberry to apple cubes compared to jug A, demonstrating the use of ratios in mathematics.

To decide which jug of fruit punch has a stronger cranberry taste, we should look at the ratio of cranberry flavored cubes to apple flavored cubes in both jugs. For jug A, the ratio is 4 cranberry cubes to 3 apple cubes, which simplifies to approximately 1.33 cranberry cubes for every apple cube. For jug B, the ratio is 3 cranberry cubes to 2 apple cubes, which simplifies to 1.5 cranberry cubes for every apple cube.

Since jug B has a higher ratio of cranberry to apple, it has a stronger cranberry taste compared to jug A. So, Eva should pour you a drink from jug B if you want a drink with a stronger cranberry flavor. This involves a practical application of ratios and proportions, which are key concepts in mathematics used to compare quantities.

Answer:

- 5, 2, 9, 16 and d = + 7

Step-by-step explanation:

to obtain the first four terms substitute n = 2, 3, 4 into the recursive formula

f(1) = - 5 ← given

f(2) = f(1) + 7 = - 5 + 7 = 2

f(3) = f(2) + 7 = 2 + 7 = 9

f(4) = f(3) + 7 = 9 + 7 = 16

common difference d = 16 - 9 = 9 - 2 = 2 - (- 5) = 7

Answer:

a) -5n9  

Step-by-step explanation:

CAN U PLZZZZ MARK ME BRAINIEST!!!! I REALLY NEED IT

Answer:

x(2x-17)

Step-by-step explanation:

2x^2 -11x-6x

2x^2-17x

x is common

x(2x-17)

Answer:

x(2x-17)

Step-by-step explanation:

[tex]2x^2-11x-6x\\2x^2-17x\\x(2x-17)[/tex]

Steps:

Combine Like Terms (-11x and -6x)

Factor out the common term (x)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (15, 130) amd (1, 160). Substitute:

[tex]m=\dfrac{160-130}{1-15}=\dfrac{30}{-14}=-\dfrac{15}{7}[/tex]

Hi there! :)

Step-by-step explanation:

[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{160-130}{1-15}=\frac{30}{-14}=\frac{30/2}{-14/2}=\frac{15}{-7}=-\frac{15}{7}[/tex]

Therefore, the slope is -15/7.

Final answer is -15/7.

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

3(bc - ac - ab)/(a²-ab+bc-ac) is the simplified form of the given equation.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given an expression:

(a²-4ac+3bc)/(a²-ab+bc-ac) + (a+3b)/(b-a) + (a+2c)/(a-c)

Simplifying Using PEMDAS starts from the right:

(a²-4ac+3bc)/(a²-ab+bc-ac) + [tex]\frac{a^{2} + 3ab - ac - 3bc }{-a^{2} + ab -bc +ac }[/tex]

Taking negative common from the last term

(a²-4ac+3bc)/(a²-ab+bc-ac) - (a² + 3ab - ac -3bc)/(a²-ab+bc-ac)

Since the base is the same,

(-4ac + 3bc - 3ab +ac +3bc)/(a²-ab+bc-ac)

3(bc - ac - ab)/(a²-ab+bc-ac)

therefore, the simplified form of the given equation is 3(bc - ac - ab)/(a²-ab+bc-ac).

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The solution involves evaluating a complex algebraic expression step by step after substituting given values for variables.

Given the expression, (a2-4ac+3bc)/(a2-ab+bc-ac)+(a+3b)/(b-a)+(a+2c)/(a-c), substitute a = 1, b = 0.0211, and c = -0.0211 to simplify.

After substitution, perform the necessary calculations to evaluate the expression step by step.

The equation of the line passing through (-6,-5) and perpendicular to y=-2/3x is y=(3/2)x+4.

To find an equation of a line passing through the point (-6,-5) that is perpendicular to the line described by y=-2/3x, we first need to determine the slope of the perpendicular line. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of our line will be the negative reciprocal of -2/3, which is 3/2.

Now, using the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can substitute our point (-6, -5) and slope 3/2 into the formula:

y - (-5) = (3/2)(x - (-6))

Simplifying this, we get:

y + 5 = (3/2)(x + 6)

y + 5 = (3/2)x + 9

Subtracting 5 from both sides, we get the final equation of the line:

y = (3/2)x + 4

[tex]\displaystyle\bf\\\sqrt{-100}=\sqrt{100\times(-1)}=\sqrt{10^2\times(-1)}=10\sqrt{-1}=10i=\boxed{\bf0+10i}[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have m = -2 and the points (0, d) and (-8, 9). Substitute:

[tex]\dfrac{9-d}{-8-0}=-2\\\\\dfrac{9-d}{-8}=-2\qquad\text{multiply both sides by (-8)}\\\\9-d=16\qquad\text{subtract 9 from both sides}\\\\-d=7\qquad\text{change the signs}\\\\\boxed{d=-7}[/tex]

Answer:

The cost of the one word is $30 .

Option (b) i.e [tex] \frac{8.4- 6}{0.08}[/tex] is used to determine the total number of words in the ad mr.grant placed.

Step-by-step explanation:

Let us assume that the number of words in the ad be x.

As given

Mr.grant spent $8.40 to place an ad in the newspaper.

This price included one time fee of $6.00 plus $0.08 per word.

Than the equation becomes

8.40 = 6 .00 + 0.08x

Simplify the above

8.4 = 6 + 0.08x

8.4 - 6 = 0.08x

[tex]x = \frac{8.4- 6}{0.08}[/tex]

[tex]x = \frac{2.4}{0.08}[/tex]

[tex]x = \frac{24\times 100}{8\times 10}[/tex]

[tex]x = \frac{2400}{80}[/tex]

x = $30

Therefore the cost of the one word is $30 .

Option (b) i.e [tex] \frac{8.4- 6}{0.08}[/tex] is used to determine the total number of words in the ad mr.grant placed.

Answer:

v2 - v02 = 2ad

v = final speed = 0 (came to a full stop)

v0 = initial speed (what you want to solve for)

d = stopping distance = 175 feet

Then

v0 = √(-2ad)  [Remember a is negative, so the argument of the square root is positive.]

But as you can see, we need the acceleration.

If we knew the time it took to come to a full stop, we could still answer the question.  Either way, we need more information than just the stopping distance.

Step-by-step explanation:

The speed of the vehicle before the brake were applied was about 83.7 feet/s

Acceleration is rate of change of velocity.

[tex]\large {\boxed {v^2 = u^2 + 2ad}[/tex]

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

This problem is about accelerated motion.

Given:

final speed of the vehicle = v = 0 feet/s

length of skid marks = d = 175 feet

maximum deceleration = a = 20 feet/s² ( assumption )

Unknown:

initial speed = u = ?

Solution:

[tex]v^2 = u^2 - 2ad[/tex]

[tex]0^2 = u^2 - 2(20)(175)[/tex]

[tex]u^2 = 7000[/tex]

[tex]u = \sqrt{7000}[/tex]

[tex]u = 10\sqrt{70} \texttt{ feet/s}[/tex]

[tex]u \approx 83.7 \texttt{ feet/s} [/tex] (rounded to the nearest tenth)

[tex]\texttt{ }[/tex]

The speed of the vehicle before the brake were applied was about 83.7 feet/s if we assume that maximum deceleration of the vehicle is about 20 feet/s²

[tex]\texttt{ }[/tex]

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle

The function g(x) is [tex]\rm4x^2[/tex] and the graph is attached in the question the correct option is B.

Linear Graph Linear means straight and a graph is a diagram that shows a connection or relation between two or more quantities.

The given graph is;

[tex]\rm f(x)=x^2[/tex]

The graph of g(x) = f(2x) is given by;

[tex]\rm g(x) = f(2x)\\\\g(x) = f(2x)^2\\\\g(x)=4x^2[/tex]

Hence, the function g(x) is [tex]\rm4x^2[/tex] and the graph is attached in the question the correct option is B.

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Answer:

See below.

Step-by-step explanation:

a. 973 * 80

= 973 * 8 * 10

= 7784 * 10

= 77,840.

b. 56 * 2000

= 2*56 *  1000

= 112,000.

c. 5.7 * 300

= 5.7 * 3 * 100

= 17.1 * 100

= 1710.

d. 0.46 * 50

= (0.46 * 100) / 2

= 46  / 2

= 23.

Answer with Step-by-step explanation:

a. 973 × 80

= 973 × 8 × 10

= 7784 × 10

=77840

b. 56 × 2,000

=56 × 2 × 1000

=112 × 1000

=112000

c. 5.7 × 300

=5.7 × 3 × 100

=17.1 × 100

=1710

d. 0.46 × 50

=0.46 × 5 × 10

=2.3 × 10

=23

Answer:

4802

Step-by-step explanation:

z=3 , 45z + 4,565 + 9,078 ÷ 89 = 45 * 3  + 4,565 + 9,078 ÷ 89 = 135 + 4,565 + 102 =  4802

Larry will pay a total interest of $45.07 when using his credit card to purchase the video game system.

To calculate the total interest Larry will pay when using his credit card to purchase a video game system for $445.07, with a monthly payment limit of $200 and an annual rate of 13.6% compounded monthly, we can follow these steps:

1. Calculate the total amount to be paid off by subtracting the monthly payment from the total purchase amount:

Total amount to be paid off = $445.07 - $200 = $245.07

2. Determine the number of months it will take to pay off the balance by dividing the total amount to be paid off by the monthly payment:

Number of months = $245.07 / $200 = approximately 1.22535 months (round up to the nearest whole month, which is 2 months)

3. Calculate the monthly interest rate by dividing the annual rate by 12 (since it's compounded monthly):

Monthly interest rate = 13.6% / 12 = 1.1333%

4. Use the formula for compound interest to find the total interest paid:

Total interest = Total amount paid - Total principal amount

Total principal amount = $445.07

Total amount paid = $200 * 2 = $400

Total interest = $400 - $445.07 = $45.07

Therefore, Larry will pay a total interest of $45.07 when using his credit card to purchase the video game system.

Answer:

the answer is $8 for every skirt

The correct answer should be B. $40

I'm guessing the question is asking for a precise amount..

Hope we thought this through correctly and you get it right!,

Davinia.

Answer:

Step-by-step explanation:

The equation in standard form is:

8x + 6y = 144

To find the y-intercept, isolate y.

8x + 6y = 144

Subtract 8x from both sides.

6y = -8x + 144

Divide both sides by 6.

y = -4/3x + 24

From this, we know (0, 24) is the y-intercept because b, which in this case, is the y value for the y-intercept.

To find the x-intercept, input y as 0.

0 = -4/3x + 24

Subtract 24 from both sides.

-24 = -4/3x

Multiply both sides by 3/-4.

18 = x

The x -intercept is (18, 0).

Input 10 for y because that's how many hours you worked as a hair washer.

8x + 6(10) = 144

Simplify.

8x + 60 = 144

Subtract both sides by 60.

8x = 84

Divide both sides by 8.

x = 10.5

You worked 10.5 hours as a host.

Final answer:

To find the length of FG in triangle FGH, we can use the Pythagorean Theorem. By substituting the given values into the formula and solving for FG, we find that FG is approximately 27.9 units.

Explanation:

To find the length of FG, we can use the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this case, FH and GH are the two sides of the right triangle FGH, and FG is the hypotenuse. So we have FH² + GH²= FG².

Substituting the given values, we have 10² + 26² = FG². Simplifying this equation, we get 100 + 676 = FG². Adding the numbers gives us 776 = FG². And taking the square root on both sides, we find that FG ≈ 27.9 units.

Answer:

Option C. negative 3 plus or minus square root of 2

Step-by-step explanation:

Please see attachment.

C. negative 3 plus or minus square root of 2

So, the correct answer is indeed option C.

Answer:

The answer would me 15m

Step-by-step explanation:

1. you multiply both of them together in order to get the area

L x W = A

Answer:65 inches

Step-by-step explanation:

15+14+36=65

Jasper used a total of 65 inches of ribbon.

To calculate the total length of ribbon used by Jasper, we need to convert the 3 feet of red ribbon to inches.

Since 1 foot is equal to 12 inches, 3 feet would be equal to 12 x 3 = 36 inches. Then, we can add up the lengths of all three ribbons: 15 inches of blue ribbon + 14 inches of yellow ribbon + 36 inches of red ribbon = 65 inches of ribbon.

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Answer:

48

Step-by-step explanation:

304 - 256 equals 48

Answer:

1/32

Step-by-step explanation:

1/8 divided by 4 = .03125

.03125= 1/32

Rachel can paint 16.5 square meters in 1 hour. 1 kilogram of rice costs $40.60. John ran at a faster rate. The half-gallon jug of milk and the half-gallon bottle of cola are cheaper.

Rachel paints 5 1/2 square meters of wall space in 1/3 hour, so we have to calculate how much she could paint in a whole hour. We multiply the speed (5.5/1/3) by the desired timeframe (1) to get 16.5 square meters. Therefore, Rachel can paint 16.5 square meters in 1 hour.

One 200-gram bag of rice costs $8.12. To find out how much 1 kilogram of rice costs, we divide 1000 by 200 to get 5 and then multiply this by $8.12 to find that 1 kilogram of rice costs $40.60.

John ran 1/2 mile in 5 minutes, while Al ran 1/3 mile in 4 minutes. To find out who ran faster, we need to calculate each runner's speed in miles per minute. John's speed is 1/2 / 5 = 0.1 mile per minute, while Al's is 1/3 / 4 = 0.083 mile per minute. Therefore, John ran at a faster rate.

A half-gallon jug of milk costs $2.95, and a gallon jug of milk costs $5.95. To compare, we should double the price of the half-gallon to reflect the same quantity as the gallon. $2.95 x 2 = $5.90, which is less than $5.95. Therefore, the half-gallon jug of milk is cheaper.

A package of nine 12-ounce cans of cola costs $7.50, whereas a half-gallon of the same cola costs $2.90. A half-gallon is 64 ounces, which is roughly equivalent to 5.33 cans of cola (64/12). Therefore, a half-gallon of cola costs the equivalent of $4.00 in cans (5.33 x $1.40 [the pricing per single can]). Therefore, the half-gallon bottle of cola is cheaper.

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Answer:

$150

Step-by-step explanation:

$100 + 100% = $200 in the first year

$200 - 25% = $150 in the second year

Answer:

A and C represent a function and B doesn't represent.

Step-by-step explanation:

A function is a relation that maps one output value of y for each input value of x.

A. Ordered pairs can be written as relation

Here each input value of x determines one output value of y and this set of ordered pairs represents function.

B. Ordered pairs can be written as relation

Here for input value x=9 there are 2 output values of y (y=3 or y=-3). This set of ordered pairs doesn't represent function.

C. Ordered pairs can be written as relation

There is exactly one y for each x, then this set of ordered pairs represents function.

Answer: Your answer would be "B" Hope this helps you!