Joe’s current age is five times Mary’s age ten years ago. If Mary is currently m years old, what is Joe’s current age in terms of m?

The least common denominator of the given denominators 5 and 100 is 100.

Given that, 4/5 + 18/100.

When two or more fractions have the same denominators, they are termed as the common denominators. The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions.

Here, two different denominators are 5 and 100.

The least common denominator of 5 and 100 is 100.

So, 80/100 + 18/100

= 98/100

= 49/50

Therefore, the least common denominator of the given denominators 5 and 100 is 100.

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Answer:

The correct options are 2 and 5.

Step-by-step explanation:

The general form of conics is

[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]

This equation represents the hyperbola if

[tex]B^2-4AC>0[/tex]

compare the given equations with the general equation.

In option 1,

[tex]A=2,B=0,C=2,D=16,E=14,F=-9[/tex]

[tex]B^2-4AC=(0)^2-4(2)(2)=-16<0[/tex]

This equation does not represents a hyperbola.

In option 2,

[tex]A=2,B=0,C=-5,D=4,E=-10,F=57[/tex]

[tex]B^2-4AC=(0)^2-4(2)(-5)=40>0[/tex]

This equation represents a hyperbola.

In option 3,

[tex]A=-1,B=0,C=-7,D=5,E=2,F=-81[/tex]

[tex]B^2-4AC=(0)^2-4(-1)(-7)=-28<0[/tex]

This equation does not represents a hyperbola.

In option 4,

[tex]A=0,B=0,C=-2,D=1,E=4,F=15[/tex]

[tex]B^2-4AC=(0)^2-4(0)(-2)=0[/tex]

This equation does not represents a hyperbola.

In option 5,

[tex]A=-1,B=0,C=3,D=12,E=7,F=11[/tex]

[tex]B^2-4AC=(0)^2-4(-1)(3)=12>0[/tex]

This equation represents a hyperbola.

Therefore the correct options are 2 and 5.

Answer:

Jackie, 91, 97 is prime.

Step-by-step explanation:

Remember that a number greater than 2 is NOT prime if it is divided by any  number different than 1, for example 6 is NOT prime because 3 divides 6. 7 is prime because the only divisors of 7 are 1 and 7.

So for the nineties 90 is divisible by 45.

91 is divisible by 7

92 is divisible by 2

93 is divisible by 3

94 is divisible by 2

95 is divisible by 5

96 is divisible by 2

97 IS PRIME, is just divisible by 1 and 97

98 is divisible by 2

99 is divisible by 3

Answer:

the coefficient is -3

Step-by-step explanation:

Answer: So the pattern is 3/16, 3/8, 9/16

here you can write 3/8 = 6/16 multiplying numerator and denominator by 2.

Then the sequence is 3/16, 6/16, 9/16....

you can see that is an arithmetic sequence, where in every step you are adding 3/16 to the previous number.

So the next time (the fourth) she will ran (9 +3)/16 = 12/16 mile

the fifth time: (12 + 3)/16 = 15/16 mile

the sixth time : (15 + 3)/16 = 18/16 = 16/16 + 2/16 = (1 + 1/8) miles

So the sixth time she will ran more than one mile.

The measure of each of the arc in degrees is:

                      30 degree

We know that the circle is a whole of 360 degrees.

Now when we divide the circumference of a circle into 12 equal arcs, then the measure of each arc in degrees is calculated as the ratio of the 360 degrees to the number of arcs it has been divided.

Hence, the measure of each arc in degrees is:

          [tex]\dfrac{360}{12}=30[/tex]

Hence, the measure in degrees is:

              30 degree

Answer:

tanA=2.6591

Step-by-step explanation:

[tex]tanA=\dfrac{sinA}{cosA} \\\\tanA=\dfrac{0.936}{0.352} \\\\tanA=2.6591[/tex]

Answer: The answers are 12, 15, 13

Step-by-step explanation:

The distribution is positively skewed, as indicated by the longer tail on the right side of the dataset representing higher values.

The shape of the distribution for the dataset {9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20} can be determined by looking at the tail of the distribution. Since the values gradually increase and then have a longer tail towards the higher numbers (with the largest values occurring less frequently), we can identify this as a positively skewed distribution. The distribution does not display symmetry, and the tail extends more significantly to the right, which is indicative of a positive skew. This is because the bulk of the data is located on the left side (lower values), while the right side (higher values) stretches out longer due to the presence of outliers or a gradual decrease in frequency.

I believe the answer is 6x-13. But I'm not 100% posititive.

Any number that is rational when added to 0.25 will result in a rational number, as 0.25 is a rational number itself. Examples include adding integers or other fractions to 0.25.

Any number added to 0.25 will produce a rational number since 0.25 itself is a rational number. Rational numbers include integers, fractions, and finite or repeating decimals. When adding a number to 0.25, if the second number is rational, the result will surely be rational. For instance, adding an integer like 2 to 0.25 gives 2.25, which is rational. Similarly, adding a fraction like 1/2, which is 0.5 in decimal form, results in 0.75, also a rational number.

When considering common denominators in fractions for addition or subtraction, the denominator of the resulting number is a product of the denominators of the numbers being added. This is because, to add fractions effectively (or subtract them), we convert each number to an equivalent fraction with the same denominator. Then we add (or subtract) the numerators while the denominator remains constant.

In summary, any number that can be expressed as a fraction with a finite number of digits or a repeating pattern after the decimal point, being a rational number when added to 0.25, will result in another rational number.

To find a number that, when added to 0.25, produces a rational number, we can subtract the decimal part of 0.25 from 0.25 itself. The number that satisfies this condition is -1/4.

To find a number that produces a rational number when added to 0.25, we need to understand that a rational number is one that can be expressed as a fraction. So we are looking for a number that, when added to 0.25, results in a fraction.

Let's call the number we're looking for 'x'. To make the addition result in a fraction, 'x' needs to be the negative of the decimal part of 0.25. Since 0.25 is equal to the fraction 1/4, the negative of the decimal part is -(1/4) = -1/4.

Therefore, the number that produces a rational number when added to 0.25 is -1/4.

Answer:

the answer is 54.1

Answer:

6782.4 π cm³

Step-by-step explanation:

I took the test and got it right!

Answer:139%

Step-by-step explanation:

The political analyst's percent error is approximately 53.3%.

To find the political analyst's percent error, we need to calculate the absolute difference between the predicted votes and the actual votes, divide it by the predicted votes, and then multiply by 100. The formula for percent error is:

Percent Error = (|Predicted Value - Actual Value| / Predicted Value) * 100

Plugging in the values, we have:

Percent Error = (|122 - 57| / 122) * 100

Calculating the difference: |122 - 57| = 65

Calculating percent error: (65 / 122) * 100 ≈ 53.3%

Therefore, the political analyst's percent error is approximately 53.3%.

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