2/15 + 1/3 and 6/7 - 1/3 Which of the two sums is closer in value to 1/2 Show your working out

Answer:

The answer for x is obviously 22.

Step-by-step explanation:

You add 10 to both sides to get 22.

Answer:

k = 79%

Step-by-step explanation:

Jar A - 45% acid and 55% water - "a" liters

Jar B - 48% acid and 52% water - "b" liters

Jar C - k% acid and (100% - k%) water - "c" liters

0,45 . 4 = 1,8 l acid jar A

0,48 . 5 = 2,4 l acid jar B

2/3 + 4 = a ----> a = 14/3 liters

1/3 + 5 = b -----> b = 16/3 liters

14/3 * 50% = 14/6 = 7/3 acid jar A = 2,33 l acid jar A

16/3 * 50% = 16/6 = 8/3 acid jar B = 2,66 l acid jar B

2,33 - 1,8 =  0,53 add in jar A

2,66 - 2,4 = 0,26 add in jar B

0,53 + 0,26 = 0,79 liters acid jar C

1 - 0,79 = 0,21 liters water jar C

(0,79/1) * 100% = 79% acid in jar C

So: k% acid is 79%

Answer:

The GFC of 22 and 32 is 2

Step-by-step explanation:

9514 1404 393

Answer:

  G  (-2, -3) is in the solution set

Step-by-step explanation:

Finding the solution set

You are given the boundary lines for the inequalities, but the graph does not show the solution set.

The line for inequality y < -2x -4 is the one with negative slope that extends from upper left to lower right. The relation of y to the comparison symbol is ...

  y <

indicating that y-values in the solution set will be less than those on the line. The line itself is NOT included in the solution set. That is, "shading" will be below and left of the line.

__

The line for inequality 2x - 4y ≤ 8 is the one with positive slope. Considering the variable with the positive coefficient, its relation to the comparison symbol is ...

  x ≤

indicating that x-values in the solution set will be less than (or equal to) those on the line. The line IS included in the solution set. Shading will be above and left of the line with positive slope.

Then the doubly-shaded area is the quadrant at the left side of the X where the lines cross. The lower boundary of that is included in the set, while the upper boundary is not.

__

Considering the points

Now that you know the location of the solution set, you can decide whether any given point is in it, or not.

Plotting the points, you find that F and G are on the boundary lines, and H and J are outside the solution set. Point F(-2, 0) is on the upper boundary line, so is not in the solution set, either.

The point listed in choice G, (-2, -3) is in the solution sets of both inequalities.

♡ Answer ♡

$78

♡ Step-by-step explanation ♡

  In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.

  As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.

  The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.

  So, the total (with the meal and the tip) is $78.

  A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!

Answer:

The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Step-by-step explanation:

Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:

3 sizes

4 colors

4 x 3 = 12

4 midsize cars

3 red cars

1 medium red car

4 + 3 - 1 = 6

6/12 = 0.5

Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

11/4

Step-by-step explanation:

to find the minimum value we require to find the vertex and determine if max/min

for a quadratic in standard form ; ax² + bx + c

the coordinate of the vertex is..

xvertex = -b/2a

x² - 3x + 5 is in standard form with a = 1,b = - 3 and c = 5

xvertex = - , -3/2 = 3/2

substitute this value into the equation for y-coordinate

yvertex = ( 3/2 ) ² -3 (3/2) + 5 = 11/4

vertex = ( 3/2, 11/4 )

to determine whether max/min

• if a > 0 then minimum u

• ifa < 0 then maximum n

here a = 1 > 0 hence minimum

minimum value of x² - 3x + 5 is 11/4

hope you understand this :)

Answer...

32!!

Step-by-step explanation:

Subtract the numbers to see a pattern of decreasing odd numbers

167-118 = 49

118-82 = 36

82-57 = 25

57-41 = 16

The difference between is 13 then 11 then 9 so the next number should be x-7

Answer:

Step-by-step explanation:

\(\sf 14=-6+2\left(2x+4\right)\)

\(\sf -6+2\left(2x+4\right)=14\)

\(\sf -6+2\left(2x+4\right)+6=14+\)

\(\sf 2\left(2x+4\right)=2\)

\(\sf \frac{2\left(2x+4\right)}{2}=\frac{20}{2}\)

\(\sf 2x+4=10\)

\(\sf 2x+4-4=10-4\)

\(\sf 2x=6\)

\(\sf \frac{2x}{2}=\frac{6}{2}\)

\(\sf x=3\)

Answer:

7/10x -5y + 1

Step-by-step explanation:

2/5x + 3/10x + 3y - 8y + 1

convert 2/5x into 10ths

4/10x +3/10x + 3y - 8y + 1

7/10x +3y - 8y + 1

7/10x - 5y + 1

Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

Answer:

$1300

Step-by-step explanation:

so, he would get the $400 basic salary plus 6% of the $15000.

15000 = 100%

1% = 100%/100 = $150

6% = 1%×6 = 150×6 = $900

so, in total, he would make

$400 + $900 = $1300 in that week.

Answer: 139/7

Step-by-step explanation:

Answer:

139/7

Step-by-step explanation:

182/10 = 18.2 < 18 7/11

219/12 = 18 + 3/12 = 18 1/4  < 18 7/11

139/7 = 19 + 4/7 > 18 7/11

179/10 = 17.9 < 18 7/11

The number of bundles that are used to make one block of cardboard is 8.

We are given that;

Thickness of box= 8mm

Height of bundle=12meter

Now,

To convert 15 cm to mm, you can multiply 15 by 10 since there are 10 mm in 1 cm. So, 15 cm is equal to 150 mm.

3.2.2. If a flattened box is approximately 8mm thick, then you can divide 150 mm by 8 mm to find out how many boxes can be tied together to form a bundle. The result is 18.75, which means that approximately 18 or 19 boxes can be tied together to form a bundle.

3.2.3. If the bundles are stacked and tied into blocks that are 1.2 metres high, you first need to convert 1.2 metres to cm by multiplying it by 100 since there are 100 cm in 1 metre. So, 1.2 metres is equal to 120 cm. Then, you can divide 120 cm by the thickness of one bundle (15 cm) to find out how many bundles are used to make one block of cardboard. The result is 8, which means that 8 bundles are used to make one block of cardboard.

Therefore, by the algebra the answer will be 8.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

We have to solve for x:

The answer is x<-6.

Answer:

What rotation centered about the origin maps (4, − 7) to (7,4) ? 90° counterclockwise 180° counterclockwise 270° counterclockwise I don't know. ←​

Step-by-step explanation:

To map the point (4, -7) to (7, 4) by a rotation centered about the origin, we need to find the angle of rotation and direction.

We can start by finding the vector from the origin to (4, -7), which is <4, -7>. We want to rotate this vector to the vector from the origin to (7, 4), which is <7, 4>.

To do this, we need to find the angle between these two vectors. Using the dot product, we have:

<4, -7> · <7, 4> = (4)(7) + (-7)(4) = 0

Since the dot product is zero, we know that the two vectors are orthogonal, and the angle between them is 90 degrees.

To map (4, -7) to (7, 4) with a 90-degree rotation counterclockwise, we can use the matrix:

[0 -1]

[1 0]

Multiplying this matrix by the vector <4, -7>, we get:

[0 -1] [4] = [-7]

[1 0] [-7] [ 4]

which corresponds to the point (-7, 4). This matches our desired endpoint, so the answer is 90° counterclockwise.

Answer:

90° counterclockwise

Step-by-step explanation:

I am not sure if the picture helps or not.  I am trying to show that I traced the point (4,-7).  Then I have a plus sign at (0,0).  I start rotating the tracing paper counterclockwise until  I get to the point (7,4).  I needed to turn one turn of the plus sign.  That would be 90°

Helping in the name of Jesus.

Answer:

x would equal 10

hope this helps :D

Answer:

Step-by-step explanation:

8 x 6 = 48 because you just add a 1

Answer:

\(\frac{1}{48}*6 = 1/8\)

Step-by-step explanation:

If  \(\frac{1}{8}/6 = \frac{1}{48}\), then, \(\frac{1}{48}*6 = 1/8\)

Answer:

The rational function that might have the given graph is \(y = - \frac{x}{(x+1)\cdot (x-1) }\).

Step-by-step explanation:

This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at \(x = -1\) and \(x = 1\). The lead coefficient of the numerator must be 1, since horizontal asymptote must be \(y = 0\) and intercept must be \(0\), since \(y(0) = 0\).

Then, we conclude that a rational function that might have the graph is:

\(y = - \frac{x}{(x+1)\cdot (x-1) }\) (1)

We present the proof that given function is appropriate.

Answer:

-7, then -13, then -19

Step-by-step explanation:

Plug in x values to get y.

y = -2(0) - 7

y = 0 - 7

y = -7

y = -2(3) - 7

y = -6 - 7

y = -13

y = -2(6) - 7

y = -12 - 7

y = -19

Hope this helps. :0)

Step-by-step explanation:

3/5 is the probability answer

Answer:

volume is 36.25inches

145/4

Step-by-step explanation:

L= 3 5/8inches

W= 2 1/2inches

H= 4inches

VOLUME = L×W×H

3 5/8 × 2 1/2 × 4 =

29/8 × 5/2 × 4 = 36.25inches

36.25→145/4

The prove of the given trigonometric function is given below.

The given trigonometric function is,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x))

Now proceed left hand side of the given expression:

We can write the expression  as,

⇒[(sin²(x))² - (cos²(x))²]/(sin²(x) - cos²(x))

Since we know that ,

Algebraic identity:

a² - b²  = (a-b)(a+b)

Therefore the above expression be

⇒(sin²(x) - cos²(x))(sin²(x) + cos²(x))/(sin²(x) - cos²(x))

⇒(sin²(x) + cos²(x))

Since we know that,

Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities include one or more trigonometric functions (such as sine, cosine, and tangent).

Then,

sin²(x) + cos²(x)² = 1 is an trigonometric identity

Hence,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x)) = 1

Hence proved.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

180

Step-by-step explanation:

9514 1404 393

Answer:

  x ≈ -152.5662

Step-by-step explanation:

Take logarithms to get ...

  (2x +5)log(3) = (x -6)log(8)

Divide by log(3) and define log(8)/log(3) = k.

  2x +5 = k(x -6)

  2x -kx = -5 -6k

  x = (-5 -6k)/(2 -k) = 6 -17/(2 -k)

Filling in the expression for k, this is ...

  x = 6 -17/(2 -log(8)/log(3)) ≈ -152.5662

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

Step-by-step explanation:

The expression simplifies as follows:

  aΔb = (a² -b)/(b -a²) = -(b -a²)/(b -a²) = -1 . . . . . for b≠a²

That is, for any values of 'a' and 'b', the expression evaluates to -1.

  2 Δ 1/2 = -1

  5 Δ -3 = -1

_____

Additional comment

The purpose of simplifying the expression is to avoid having to do unnecessary arithmetic. If you actually want to see the arithmetic, it looks like this:

  2 Δ 1/2 = (2² -(1/2))/(1/2 -2²) = (7/2)/(-7/2) = -1

  5 Δ -3 = (5² -(-3))/(-3 -5²) = 28/-28 = -1

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

Read more on exponent here: brainly.com/question/27858496

#SPJ1

The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

To learn more about equation click on,

https://brainly.com/question/29255626

#SPJ1

Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7