Solve |x| < 5

{x|-5 < x < 5}
{x|x < -5 or x > 5}
{-5, 5}

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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If n is a perfect square, then n +2 is not a perfect square, then The correct order is: 1, 2, 3, 4, 5, 6.

Given,

Assume n= m, for some non-negative integer m.

If m=0, then n + 2 = 2, which is not a perfect square.

The smallest perfect square greater than n is (m + 1)

Expand (m + 1)2 to obtain (m + 1)2 = m2 + 2m +1 = n + 2m +1

Simplify to n +2 +1> n +2.

Hence, n+ 2 is not a perfect square.

If n is a perfect square, then n +2 is not a perfect square, then

The correct order is: 1, 2, 3, 4, 5, 6.

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Answer:

4b+b=70

5b=70

b=14

Step-by-step explanation:

4(14)+(14)=70

Answer:

i love you :)

Step-by-step explanation:

you just have to mutliply the first one and sum both of them

(-15z + 6) + (5z - 2)

-15z + 6 + 5z -2

= -10z + 4

The value of s in the point (s,-3) after using slope formula is -4.

What is slope?

Slope is a term used to define how steep a line is. The rise of a line over the run of a line, or the change in the vertical direction (y) over the change in the horizontal direction, is the definition of slope (x). The slope is the angle at which one is moving forward or backward when skiing down a hill or climbing a mountain. Depending on what it is, the slope may occasionally be fairly flat or extremely steep. The slope of an object indicates how steep it is. Slope knowledge is crucial for daily decision-making. 

Using slope formula,

=> slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

Now the given point  is ,

\((x_1,y_1)=(s,-3) \\(x_2,y_2)=(-8,-4)\)

=> slope m= 1/4

=> \(\frac{1}{4}= \frac{-4+3}{-8-s}\)

=> \(\frac{1}{4} = \frac{-1}{-8-s}\)

=> -8-s=-4

=>-s=-4+8

=> -s=4

=> s =-4.

Hence the value of s is -4.

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Answer:

you would have six 5$ bills and 5 1$ bills

Answer:

4x + 4 - 7x

Step-by-step explanation:

Answer:

if number = x

4*x + 4 - 7*x

Answer: 7

Step-by-step explanation:

yarn = 4 1/5 = 21/5

measure of one piece = 3/5

no. of pieces of yarn = 21/5÷3/5

= 21/5×5/3

= 105/15 = 7

So the number of pieces of yarn cut will be 7

Answer:

7

Step-by-step explanation:

4.2' yarn

cut into 0.6' pieces

4.2/0.6 =7

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

\(a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c\)

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

\(B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19\)

The values of y and z that make the triangles to be congruent are 13 each

From the question, we have the following parameters that can be used in our computation:

The triangles

For the two triangles to be congruent, the following equations must be true

2y = y + 13

y + 5z - 20 =  2y + z + 19

When the above equations are evaluated, we have

y = 13

Next, we have

4z = y + 39

So, we have

4z = 13 + 39

Add and divide by 4

z = 13

Hence, the values of y and z are 13

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After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

We are simply manipulating the equation: a =  bh//2 to solve for the h. So we divide both sides of this equation by 1/2b to isolate the h variable and get: h(a) = 2a/b.

Step-by-step explanation:

Answer:

13 units

Step-by-step explanation:

It's literally a number line, you can count each mark if you have to or just do 7+6

Answer:

<

Step-by-step explanation:

The total number of combinations is given as follows:

60.

The Fundamental Counting Theorem states that if there are m ways for one experiment and n ways for another experiment, then there are m x n ways in which the two experiments can happen simultaneously.

This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual experiment, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The parameters for this problem are given as follows:

\(n_1 = 6, n_2 = 10\)

Hence the total number of combinations is given as follows:

6 x 10 = 60.

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The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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As a result, angle J's tangent is 3/5 and angle K's tangent is 5/3.

A polygon with 3 sides and 3 vertices is called a triangle. It belongs to the most basic geometric shapes. The supplied object is indeed a triangle with equilateral triangles that has edges A, B, and C. the triangle shape.

We may use the tangential function to figure out the tangents of a acute angles inside a right triangle having legs that are 3 and 5 and a hypotenuse that is L in length.

To start, we may employ the Pythagorean theorem to determine the hypotenuse's length:

\(L^2 = 3^2 + 5^2\)

\(L^2 = 9 + 25\)

\(L^2 = 34\)

L = √34

To find the tangents of an acute angles, we may now utilize the concept of tangent, which really is opposite over adjacent:

tan J = opposite/adjacent = 3/5

tan K = opposite/adjacent = 5/3

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The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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The teacher will use 3 rolls only to have perfect measurements.

1 yard = 3 feet

4 large bulletin boards are there each needing 9 yards of border.
That means 4 large bulletin boards in total need

9×4 yards of border

= 36 yards of border

= 108 feet of border

Also, there is a small bulletin board that only needs 12 feet border

Hence, in total there is a need for

108 + 12 = 120 feet border.

The border is sold in 40-foot rolls.
Hence, there is a need for 120/40 rolls

i.e. 3 rolls

Hence, the teacher will use 3 rolls only.  

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Answer:

The answer is 3

Step-by-step explanation:

Answer:

I did the math there is no answer

9514 1404 393

Answer:

  (b)  976 m³

Step-by-step explanation:

The total surface area is the sum of the areas of the faces and bases.

The two bases are triangles, each with area ...

  A = 1/2bh

So, the two of them together will have an area of ...

  A = 2(1/2)bh = bh

where b is the base of the triangle, and h is its height. These values are shown as 14 m and 24 m, respectively.

  Total base areas = (14 m)(24 m) = 336 m²

__

The total area of the rectangular faces is the sum of products of length and width. The width of each face is the same as the height of the prism, and the sum of face lengths is the perimeter of the triangular base.

The prism height is 10 m, and the perimeter of the base triangle is  (14 m +25 m +25 m) = 64 m. Then the lateral area of the prism is ...

  Total lateral area = (10 m)(64 m) = 640 m²

So, the total surface area of the prism is ...

  base area + lateral area = 336 m² + 640 m² = 976 m²

Answer:

Yeah, you got the answer right.

Step-by-step explanation:

Answer: the naswer is 0.154

Step-by-step explanation:

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Tally won the dirt throwing game and his score was 1.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information, The score of Tally is,

= 3×2 - 3×3 + 4×1.

= 6 - 9 + 4.

= 1.

The score of Awasin is,

= 4×2 - 4×3 + 2×1.

= 8 - 12 + 2.

= - 2.

So, Tally won the game and his score is 1.

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Answer:

66.34

Step-by-step explanation:

if my calculations are correct it should be 66.34

The answer should be 66.34

you got an equation or a pic?

Answer:

y = (-mi/h)x + b

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with mx being the slope and b being the y intercept

y = mx + b

all we need to do is fill in known variables with hours multiplied by x represented as m...

y = (-mi/h)x + b

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

b would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}