Check all that apply please

Given

A laboratory technician needs to make a 117-liter batch of a 20% acid solution.

 How much the  technician combine  an acid solution that is pure acid with another that is 10% to get the desired concentration.

To proof

let us assume that the solution that is pure acid = x liters

let us assume that the anthor solution that is 10% = y liters

Than

the  equation becomes

x + y = 117

As given in the question

technician needs to make a 117-liter batch of a 20% acid solution

laboratory technician combine  an acid solution that is pure acid with another that is 10% to get the desired concentration

Convert 20% in the simpler form

[tex]=\frac{20}{100}[/tex]

= 0.2

Convert 10% in the simpler form

[tex]=\frac{10}{100}[/tex]

= 0.1

Than the equation becomes

0.2 × 117 = x + 0.1y

234 = 10x + y

Than the two equation are  

x + y = 117

234 = 10x + y

subtracted x + y = 117 from 234 = 10x + y

10x+y -x -y = 234 -117

9x = 117

x= 13

put this in the equation x + y = 117

13 + y =117

y = 117 - 13

y = 104

Therefore

The solution that is pure acid be 13 liters.

than the other solution that is 10% is 104 liters.

Hence proved

Answer:

  The interest rate = 6 %

Explanation:

We have  I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years.

 Here principal, p = 200 $

          Number of years , t = 3

        Interest received, I = 36$

       We need to find rate of interest.

Substituting

       36 = 200 x r x 3

      r = [tex]\frac{36}{200*3}[/tex]= 0.06 = 6%

  The interest rate = 6 %

Answer:20%

Step-by-step explanation:

Let r represent rate of interest.

We have been given that Mika invested $200 into a certificate of deposit. After 6 months, the balance was $220.

We will use simple interest formula to solve our given problem.

I = Amount of interest,

P = Principal amount,

r = Rate of interest in decimal form,

t = Time in years.

First of all, we will find amount of interest by subtracting $200 from $220 as:

6 month = 1/2 year = 0.5 year

Upon substituting our given values in simple interest formula, we will get:

Upon dividing both sides by $100, we will get:

Since interest rate is given in decimal, so we will multiply 0.2 by 100 to convert our answer in percentage.

Therefore, the interest rate on the deposit was 20% and option B is the correct choice.

See the attached picture:

The large bag of pretzels is the better buy as it has a lower cost per ounce at $0.1993 compared to $0.2475 per ounce for the small bag.

To determine which bag of pretzels is the better buy, we need to calculate the cost per ounce for each bag. For the small bag, we divide $0.99 by 4 ounces to get the cost per ounce. For the large bag, we divide $2.99 by 15 ounces to find its cost per ounce. Once we have both costs per ounce, we can compare them to see which bag offers the lower cost per ounce and hence the better value.

For the small bag:

$0.99 / 4 ounces = $0.2475 per ounce

For the large bag:

$2.99 / 15 ounces = $0.1993 per ounce

Comparing the two, we can see that the large bag of pretzels offers a lower cost per ounce and is therefore the better buy.

Solution

[tex](\frac{1}{4} )^{-2} - 5^{0.2} .1^{-1}[/tex]

Using the exponents rule, we get

[tex]4^{2} - 1.38 . 1[/tex]

= 16 - 1.38

= 14.62

The answer is 14.62

Thank you.

Answer: It is just 14 !!!

Step-by-step explanation: when taking a test you just right it as 14.

Answer:

(x^2 - 4y)( x^4 +  4x^2y + 16y^2)

Step-by-step explanation:

x^6−64y^3

- using the identity a^3 - b^3 = (a - b)(a^2 + ab + b^2)  with a = x^2 and b = 4y we have:-

(x^2 - 4y)( x^4 +  4x^2y + 16y^2)

Factored form of x6−64y3 is (x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)

What is factorisation?

#x^6-64y^3#

#=(x^2)^3-(4y)^3#

#=(x^2-4y))(x^4+4x^2y+16y^2)#

#=(x^2-4y)[(x^2)^2+(4y)^2+4x^2y)]#

#=(x^2-4y)[(x^2+4y)^2-2*x^2*4y+4x^2y)]#

#=(x^2-4y)[(x^2+4y)^2-8x^2y+4x^2y)]#

#=(x^2-4y)[(x^2+4y)^2-(2xsqrt(y))^2]#

#=(x^2-4y)(x^2+2xsqrt(y)+4y)(x^2-2xsqrt(y)+4y)#

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[tex]0.000+0.300+0.020+0.006[/tex] is the expanded form of 0.326

(2 x 10000000) + (0 x 1000000) + (7 x 100000) + (6 x 10000) + (9 x 1000) + (0 x 100) + (3 x 10) + (3 x 1)

t+4 / t-2 = 1/4

t=-6 for your answer!

Final answer:

To find the height of the mountain, the tangent of the angle of elevation is multiplied by the distance to the base of the mountain. With an angle of 23°29' and a distance of 16,194.6 feet, the height of the mountain is approximately 7,026 feet.

Explanation:

To find the height of the mountain when Bob is 16,194.6 feet from the mountain's base and the angle of elevation is 23°29', we can use trigonometry, specifically the tangent function which is the ratio of the opposite side to the adjacent side in a right triangle.

Steps to Solve:

Convert the angle 23°29' to decimal degrees: 23° + 29'/60 = 23.483°.

Use the tangent function: tan(angle) = opposite side/adjacent side, where the adjacent side is the distance from Bob to the base of the mountain and the opposite side is the height of the mountain.

Calculate the height: height = tan(angle) * distance to the base.

Substitute the known values and solve: height = tan(23.483°) * 16,194.6 feet.

Using a calculator, tan(23.483°) ≈ 0.4338. Multiplying this by 16,194.6 gives us approximately 7026.03668 feet.

Therefore, the height of the mountain to the nearest foot is 7,026 feet.

Answer:

Complex looking (not mathematical term)... I think it's real?

52i + 7.5 = 59.5i

(I'm  probably wrong)

Step-by-step explanation:

Answer:

complex

Step-by-step explanation:

To round 936,292 to the nearest hundred thousand, you look at the ten thousand place. Since it's 3, which is less than 5, 936,292 rounds down to 900,000.

To round 936,292 to the nearest hundred thousand, we need to look at the ten thousand digit, which is 3. Since this number is less than 5, we do not round up the hundred thousand digit. Therefore, 936,292 rounded to the nearest hundred thousand is 900,000.

Rounding to the nearest hundred thousand means replacing all the digits to the right of the hundred thousand place with zeros. If the digit in the ten thousand place is five or higher, we add one to the hundred thousand digit. If it's lower than five, we keep the hundred thousand digit the same.

In the equation y = 3/4x -3, 3/4 is the slope and -3 is the y-intercept. To graph this, start at -3 on the y-axis, then for each increase of 1 in the x direction, go up by 3/4 in the y direction, drawing a line through these points.

The equation y = 3/4x - 3 represents a straight line in mathematics. The first step to getting your graph is to understand the equation structure: y = mx + b, in which 'm' is the slope and 'b' is the y-intercept. Hence, in your equation the slope is 3/4 and the y-intercept is -3. When x = 0, y will be -3. This is your starting point on the graph.

To construct the graph of this equation, you'd use the slope (3/4), which means to every 1 unit increase in 'x', 'y' will increase by 3/4 units. Start at your y-intercept (-3), then rise 3 units and run 4 units to the right to plot your next point. Continue this until you have a several points. Once you have enough points, you can draw a line through them to represent the equation y = 3/4x - 3.

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the awnser is 38/56 you first find a number that 8 and 7 both go into witch is 56 then you add 24/56 and 14/56 witch becomes 38/56 and simplyfies to 19/28

Find common denominators:

[tex]\frac{3}{7}[/tex] = [tex]\frac{24}{56}[/tex]  [tex]\frac{2}{8}[/tex] = [tex]\frac{14}{56}[/tex]

Add:

[tex]\frac{38}{56}[/tex]

Simplify:

[tex]\frac{19}{28}[/tex]

-10 > -2

Hope this helped hun

- Laura <3

8 trips the plane can take between cities before running out of fuel.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Total gas available 65000 gallons round down as 60000

Gas is consumed between New York and Los Angeles = 7460 round-up as 7000

The number of trips from New York and Los Angeles = 60000/7000 = 8.57.

Since the number of trips should be a whole number so 8 will be the correct answer.

Hence "8 trips the plane can take between cities before running out of fuel".

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To determine the number of rows and the number of each type of plant Stacy can have, we need to find the greatest common factor (GCF) of the plant counts. The GCF represents the number of plants in each row. The GCF of 27, 45, and 54 is 9, so Stacy can have 9 rows with 3 tomato plants, 5 bean plants, and 6 carrot plants in each row.

To determine the greatest number of rows that Stacy can have in her vegetable garden while still using all of her plants, we need to find the greatest common factor (GCF) of the numbers 27, 45, and 54. The GCF will represent the number of plants Stacy can have in each row.

First, we can find the GCF of 27 and 45 by listing their factors:

27: 1, 3, 9, 27

45: 1, 3, 5, 9, 15, 45

The greatest common factor of 27 and 45 is 9.

Next, we find the GCF of 9 and 54:

9: 1, 3, 9

54: 1, 2, 3, 6, 9, 18, 27, 54

The greatest common factor of 9 and 54 is 9.

Therefore, Stacy can have 9 rows in her garden, and each row will have 3 tomato plants, 5 bean plants, and 6 carrot plants.

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The answer would be 177.4

The division of 32,111 by 181 gives a quotient of 177 and a remainder 104. In essence, when 32,111 is divided by 181 completely, there is left an undivided 104.

In Mathematics, to determine the remainder of a division problem, you perform the division operation as usual and then observe the residual value. That residual value is the remainder. In your case, when 32,111 is divided by 181, the result is 177 with a remainder of 104. Therefore, the answer to your question '32,111 ÷ 181, what is the remainder?' is 104, this is the amount that can't be evenly divided over 181. It is known as the remainder of the division operation.

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 x = 2

22x = 44

22x/ 22 = 44 / 22         -Divide both sides by 22

x = 2

Hope this helps! If so, please mark brainliest!

[tex]22x[/tex][tex]= 44[/tex]

The point (-4,15) is found in the second quadrant, where x-values are negative (here, -4) and y-values are positive (here, 15) in the Cartesian coordinate system.

The point (-4,15) lies in the second quadrant of the Cartesian coordinate system. In the second quadrant, the x-coordinate is negative and the y-coordinate is positive. This is because the Cartesian coordinate system is divided into four quadrants based on the signs of the x (horizontal) and y (vertical) values: Quadrant I (positive x, positive y), Quadrant II (negative x, positive y), Quadrant III (negative x, negative y), and Quadrant IV (positive x, negative y).

the square root of 9 would be 3. as 3 x 3 =9

the square root of any number is asking what number times itself will give you the given number you are trying to square root. for example, the square root of 36 would be 6, as 6 x 6 = 36. I hope this helped

Doing a square root of one digit numbers is just multiplying by 2 so 18 is your answer.

One Solution: Simplify to get 5x+4=5x+4

The equation 4x + x + 4 = 8x - 3x + 4 has infinitely many solutions.

To solve the equation 4x + x + 4 = 8x - 3x + 4, we first simplify both sides

5x + 4 = 5x + 4

Next, we subtract 5x from both sides:

4 = 4

Since the equation simplifies to a true statement (4 = 4), this means that the equation is true for any value of x.

Hence, the equation has infinitely many solutions.

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Answer:

E) y + 1 = -3 (x - 2)

Step-by-step explanation:

y-y1=m(x-x1)

Use this equation to solve a question like this. Just plug in the numbers you have to get the equation.

Answer:

yes they are equivalent

A point extending forever in one direction

A ray is a portion of a line which starts at a point and goes off in a particular direction to infinity.

g - 3/7 = 2/7   is an equation.

[tex]\displaystyle\bf\\g-\frac{3}{7}=\frac{2}{7}\\ \\g=\frac{2}{7}+\frac{3}{7}=\frac{2+3}{7}=\frac{5}{7}\\\\\boxed{\bf g=\frac{5}{7}}[/tex]

When, a rectangle has an area of 364.5cm² if it’s length is 27 cm. Then, the perimeter of the rectangle is 81 cm.

To find the perimeter of a rectangle when the area and the length are known, first calculate the width using the area formula. The area of a rectangle is given by the formula Area = length x width. Given that the area is 364.5 cm² and the length is 27 cm, the width can be found as follows:

Width = Area / Length = 364.5 cm² / 27 cm = 13.5 cm

Once you have both the length and width, the perimeter can be calculated using the formula Perimeter = 2 x (length + width). So, the perimeter would be:

Perimeter = 2 x (27 cm + 13.5 cm) = 2  x 40.5 cm = 81 cm

Hence, the perimeter of the rectangle is 81 cm.

answer is 2720

solution below

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year.

solving our equation:

A = 2000(1 + (0.045 × 8)) = 2720  

A = $2,720.00

the total amount accrued, principal plus interest, from simple interest on a principal of $2,000.00 at a rate of 4.5% per year for 8 years is $2,720.00

0.001 = 1 thousandth = 1/1000

We can write 1000 as 10^3. Note how 1000 has 3 zeros and the exponent for 10^3 is 3

So, 1/1000 = 1/(10^3) = (1/10)^3 = (0.1)^3

Therefore, 0.001 = (0.1)^3

0.001 rewritten as a cube = (0.1)³.

Given,

0.001 can written as

0.001 = 1/1000

We can write 1000 as 10³.

Note how 1000 has 3 zeros and the exponent for 10³ is 3

So,

1/1000 = 1/(10³) = (1/10)³ = (0.1)³

Therefore, 0.001 = (0.1)³

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