2.4y+13+(-6.5y)= 0.24y-8.58+(-6y)identify the multiple of 10 that can be used to remove the decimals in the equation and identify the value of y

Answer:

\( \frac{6}{7} \)

Step-by-step explanation:

\( \frac{5}{7} - ( - \frac{1}{7} )\)

\( \frac{5}{7} + \frac{1}{7} \)

\( = \frac{6}{7} \)

The correct answer is A. 0.84

The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We know,

\(\rm Z = \dfrac{X-\mu}{SD}\)

X = 53, μ = 50, and SD = 3

\(\rm Z = \dfrac{53-50}{3}\)

Z = 1

From the Z table.

The value of P(X<53) = 0.84

Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.

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Answer:

\(x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree\)

\(y = 2\)

7. Radius of circle P = 2       Radius of circle Q = 1

Coordinates of the point of tangency (4,2)

The equation of the tangency line is x = 4

8. AB is not a tangent. BC² ≠ AB² + AC²

9. The three radii of the circle are; CB, CF and CD

A diameter of the circle is BD

A tangent of the circle is GE

A chord of the circle is BD

A secant of the circle is AD

A point of tangency is F

7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.

The radius then is 4/2 = 2.

The radius of circle q is 2/2 = 1

You could also use the formula

Distance = sqrt((x2 - x1)² + (y2 - y1)²)

8. √4² + √12² = √160

√13 = 169

Therefore AB is not tangent. It is less than BC

9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's

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Answer:

2

Step-by-step explanation:

Rearrange to same form:

2y = -5x + 10

y = -5/2x + 10

ay = -5x + 4

Parallel lines have no intersection and solution, thus a = 2

Answer:

Step-by-step explanation:

For there to be no solution the lines must be parallel and have different y intercepts. To be parallel they must have the same slope.

Solving each for y

y=(10-5x)/2 and y=(4-x)/a

So the slopes are

-5/2 and -1/a, if they are equal

-5/2=-1/a

-5a=-2

a=2/5

Answer:

18

Step-by-step explanation:

divide 450 over 25 to get 18

Answer:

18

Step-by-step explanation:

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

a. \(2(3y-2x)\)

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations. It is an expression obtained by performing a finite number of algebraic fundamental operations on symbols representing numbers.

Given expression is \(4x+6y-8x\)

\(4x+6y-8x=6y-4x\)

                  \(=\boldsymbol{2(3y-2x)}\)

So, expression \(4x+6y-8x\) is equivalent to a. \(\boldsymbol{2(3y-2x)}\)

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Answer:

2260.8cu.mm

Step-by-step explanation:I don't say you must have to mark my and as brainliest but if you think it has really helped you plz don't forget to thank me.

9514 1404 393

Answer:

  AC ≈ 6.8 cm

Step-by-step explanation:

For legs a and b of a right triangle with hypotenuse c, the Pythagorean theorem tells us ...

  a = √(c² -b²)

Using this relation, we can find legs CE and AE.

  CE = √(3² -2²) = √5

  AE = √(5² -2²) = √21

AC is the sum of these two lengths:

  AC = AE +EC = √21 +√5

  AC ≈ 6.8 cm

Answer:

B

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

The hundredths place

the 2 would be tenths, 1 is hundredths, and the 3 is thousandths

Answer:

\(Model = 80cm\)

Step-by-step explanation:

Given

\(Length = 19.2\ m\)

\(Scale=1:24\)

Required

Determine the scale measurement in centimeters

The scale can be represented as: \(Model : Actual\)

\(Scale = Model : Actual\)

Substitute 19.2 for Actual Length

\(Scale = Model : 19.2\ m\)

Represent as a fraction

\(Scale = \frac{Model}{19.2m}\) --- (1)

Recall that:

\(Scale=1:24\)

Represent as a fraction

\(Scale = \frac{1}{24}\) --- (2)

Equate (1) & (2)

\(\frac{Model}{19.2m} = \frac{1}{24}\)

Multiply through by 19.2m

\(Model = \frac{1}{24} * 19.2m\)

\(Model = \frac{ 19.2m}{24}\)

Convert to centimeter

\(Model = \frac{ 19.2 * 100cm}{24}\)

\(Model = \frac{ 1920cm}{24}\)

\(Model = 80cm\)

Hence, the length of the scale model is 80 cm

Answer:

a first number plus twice a second number is 19

"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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Answer:

19,360

Step-by-step explanation:

1/5 is .2, or 20%.  So we multiply the number by .8 to have 80% of the original.

24,200*.8=19360

Answer:

1.25 inches

Step-by-step explanation:

0.5 = 2 feet

? = 5 feet

Divide 2 by 5 to find how many times to multiply 0.5 by:

5 ÷ 2 = 2.5

Multiply the two values together:

2.5 x 0.5 = 1.25

So the length is 1.25 inches.

Hope this helps!

The area of the region is equal to the area of the septagon minus the area of the circumscribing circle. The area of the septagon = 7 x (5^2 x (1 + sqrt(3))/4). The area of the circumscribing circle = pi x (5^2/2).

The area of the region between the septagon and its circumscribing circle can be found by subtracting the area of the circumscribing circle from the area of the septagon. The side length of the septagon is 5 inches. The area of the septagon can be calculated using the formula A = 7 x (5^2 x (1 + sqrt(3))/4). This is equal to 58.82 inches squared. The area of the circumscribing circle can be calculated using the formula A = pi x (5^2/2). This is equal to 78.54 inches squared. Therefore, the area of the region between the septagon and its circumscribing circle is 58.82 inches squared minus 78.54 inches squared, which is equal to 19.72 inches squared.

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9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

The marked (consecutive interior) angles will be supplementary when the lines are parallel.

  (3x +10)° +(5x +18)° = 180°

  8x = 152 . . . . . . . . . . . . . . . divide by °, subtract 28

  x = 19 . . . . . . . . . . . divide by 8

Answer:

All real values of x.

Step-by-step explanation:

f(x) = x passes the line test, as it is a simple line with a slope of 1, so by that reasoning, f(x) = x is always a function.

Answer:

\( F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6} \)

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

\( \displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2} \)

recall law of exponent

\( \displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn} \)

to simplify:

\( \displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )\)

simplify multiplication:

\( \displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )\)

distribute:

\( \displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6} \)

hence our answer is F

Answer:

the answer should be 9

Step-by-step explanation:

\((256 * 3^{-5} * 6^{0} )^{-2} * (\frac{3^{-2}}{2^{3}} )^{4} * 2^{28}\)

\((256*\frac{1}{3^{5}} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((256*\frac{1}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((\frac{256}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((\frac{256}{243})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\((\frac{243}{256})^{2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}\)

\(\frac{59049}{65536}*(\frac{1}{2^{3}*3^{2}})^{4}*2^{28}\)

\(\frac{59049}{65536}*(\frac{1}{8*9})^{4}*2^{28}\)

\(\frac{59049}{65536}*(\frac{1}{72})^{4}*2^{28}\)

\(\frac{59049}{65536}*\frac{1}{26873856}*2^{28}\)

\(\frac{9}{65536}*\frac{1}{4096}*2^{28}\)

\(\frac{9}{65536*4096}*2^{28}\)

\(\frac{9}{268435456}*268435456\)

\(9\)

Answer:

the answer should be 9

Step-by-step explanation:

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Answer:

ya-yb=yc+ca

Step-by-step explanation:

Distribute y and c to the values inside the parenthesis.

ya-yb=yc+ca

Answer:

A

Step-by-step explanation:

I took the quiz

Answer: 39 units

Step-by-step explanation:

I took the test

a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

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Answer:

Step-by-step explanation:

The final price Cheryl will pay for the shirt, using the mathematical expression that includes the sales tax, is $34.56.

A mathematical expression is a mathematical statement with two different numbers (known or unknown) and at least one mathematical operation.

The basic mathematical operations include addition, subtraction, division, and multiplication.

For, instance, the total cost of a T-shirt after factoring in the sales tax of 8% can be represented with this mathematical expression, T= 1.08p.

Cost of a shirt, p = $32

Sales tax = 8%

The mathematical expression of the total cost = 1.08p

The total cost = $34.56 ($32 x 1.08)

Thus, the final price Cheryl will pay for the shirt is $34.56.

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Additive inverse property of real numbers was used to transition from step 3 to step 4

The property of real numbers used to transition from Step 3 to Step 4 is the additive inverse property or the property of adding the opposite. The additive inverse property states that for any real number a, there exists an additive inverse -a, such that a + (-a) = 0. In other words, adding the opposite of a number results in the sum being zero.

In Step 3 of the given expression, we have "12 + (-12) + 6x." Notice that "-12" is the opposite of "12." To simplify this expression further, we can apply the additive inverse property by combining the positive and negative numbers.

Adding 12 and its additive inverse (-12) results in 0, according to the additive inverse property. So, in Step 4, we replace "12 + (-12)" with "0." By applying the additive inverse property, the expression simplifies to "0 + 6x," which can be further simplified to just "6x."

The use of the additive inverse property is crucial in algebraic simplifications as it allows us to eliminate terms that add up to zero. This property helps streamline calculations and reduce complex expressions to simpler forms.

Overall, the transition from Step 3 to Step 4 in the given expression utilizes the additive inverse property to eliminate the sum of opposite numbers and simplify the expression to its final form, which is "6x."

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