two numbers have these properties both numbers are greater than 6 the highest common factor is 6 the lowest common multiple is 60 find the two numbers

Answer:

3\8 I think is the answer

Step-by-step explanation:

I know because I know!

Answer:

8 3/8

Step-by-step explanation:

I have study island too

Answer:  The second one is correct I believe

Step-by-step explanation:

Answer:

I think the only one is A

Answer:

3 min 42 seconds

Step-by-step explanation:

1 minute=60 seconds so 7 minutes = 420 seconds. Plus the other 24 is 444 seconds. 444/2=222 so its 222 seconds or 3 minutes and 42 seconds

7 min = 7 x 60 sec = 420 sec

420 sec + 24 sec = 444 sec

444sec : 2 = 222 sec

222 sec = 3x60sec + 42sec = 3 min 42 sec

Answer:

x=1+sqrt(14) & 1-sqrt(14).

Step-by-step explanation:

(1x+1)(1x-3)=0

(x+1)(x-3)=0

m(x)=(x+1)(x-3)=10

(x+1)(x-3)=10

x^2+x-3x-3=10

x^2-2x-3=10

x^2-2x-3-10=0

x^2-2x-13=0

Apply the quadratic formula with a=1, b=-2 and c=-13.

The answer is x=1+sqrt(14) & 1-sqrt(14).

Answer:

Distributive Property.

Answer:

-35

Step-by-step explanation:

20-(7+4)*5

20-(11)(5)

20-55

-35

Answer:

The slope intercept form of both given equations is : y =  - 3 x - 4.

Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

and 3 x + y = - 4

Now,the SLOPE INTERCEPT FORM of any given equation is given as:

y = m x + C : here, C = Y - intercept, m = Slope

Consider equation (1):

y +7 = -3 ( x - 1 )    ⇒ y + 8 = - 3 x  + 3

or, y = -3x + 3 - 7 = -3x - 4

 ⇒ y =  -3x  -4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

Consider equation (2):

3 x + y = - 4    ⇒ y  = -4  - 3 x

 ⇒ y =  -3 x  - 4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

Final answer:

The solution in slope-intercept form for both given equations is y = -3x - 4, showing that they represent the same line.

Explanation:

To find the solution in slope-intercept form for the given equations y+7=-3(x-1) and 3x+y=-4, we need to solve for y in terms of x for each equation.

For the first equation, solve for y:

y + 7 = -3(x - 1)

y = -3x + 3 - 7

y = -3x - 4 (Slope-intercept form of the first equation)

For the second equation, solve for y:

3x + y = -4

y = -3x - 4 (Slope-intercept form of the second equation)

After solving, we observe that both equations have the same slope-intercept form, which indicates that these are actually the equations of the same line.

Answer:

[tex]\large\boxed{-6x^6+4x^4-3x^3+4x^2+12}[/tex]

Step-by-step explanation:

[tex]4x^2-6x^6+2x^3+12-5x^3+4x^4\\\\=-6x^6+4x^4+2x^3-5x^3+4x^2+12\qquad\text{combine like terms}\\\\=-6x^6+4x^4+(2x^3-5x^3)+4x^2+12\\\\=-6x^6+4x^4-3x^3+4x^2+12[/tex]

Pudge picked 537 pounds of cucumber.

Step-by-step explanation:

Ratio of picking cucumbers,

Pudge to Ace = 3:4

Cucumbers picked by Ace = 716 pounds

Let,

x be the cucumbers picked by pudge.

New ratio of pudge to ace = x:716

Using proportion;

Ratio of pudge to ace :: New ratio of pudge to ace

[tex]3:4::x:716[/tex]

Product of mean = Product of extreme

[tex]4*x=3*716\\4x=2148[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{2148}{4}\\x=537[/tex]

Pudge picked 537 pounds of cucumber.

Keywords: Ratio, proportion

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Answer:

Step-by-step explanation:

Answer:

If you factorise it you should get (3y+5)(2y+1)

The expression that can be used to find 20% of 950 is 20/100 × 950

20% of 950

= 20/100 × 950

= 0.2 × 950

= 190

Therefore, the 20% of 950 is given by 190

Learn more about percentage:

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To find 20% of 950, you use the formula (Percentage / 100) × Whole. By applying the formula, 20% of 950 is calculated to be 190.

To find 20% of 950, you can use the formula for finding a percentage of a number:

Part = (Percentage / 100) × Whole

In this case, the percentage is 20 and the whole is 950. Now apply the formula:

Part = (20 / 100) × 950

Part = 0.2 × 950

Part = 190

Therefore, 20% of 950 is 190.

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

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Answer:

10^7

Step-by-step explanation:

So we would start with 10 and a trick to help you is when your turning a number with 10 at the start with each number you raise it by is how many 0 it will have behind it for example 10,000,000 would be 10^7 cause you have 0 zeros in it.

10,000,000 in exponent form is 10⁷. Therefore, 20,000,000 can be written as 2 × 10⁷. This provides a concise mathematical way of expressing large numbers.

To write 10,000,000 using exponents, we recognize that this number is a power of 10. Specifically, 10,000,000 can be written as 10 to the power of 7. This is because:

10,000,000 = 10⁷

When you multiply 10 by itself 7 times (10 × 10 × 10 × 10 × 10 × 10 × 10), you get 10 million. Therefore, the population of Australia, which is more than 20,000,000 people, can be written as:

20,000,000 = 2 × 10,000,000 = 2 × 10⁷

Answer:

87

The drawing will help

Answer:

87

Step-by-step explanation:

Answer:

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Step-by-step explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle =  Length of first side + length of second side + Length of third side.

[tex]2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft[/tex]

Length of Second Side = 19 ft.

Length of First side = [tex]2x= 2\times19 = 38 ft[/tex]

Length of Third side = [tex]5+x= 5+19=24ft[/tex]

Hence the Length of triangles are 19 ft,38 ft,24 ft.

Answer:

[tex]f(x)=x^3-7x-6[/tex]

Step-by-step explanation:

If x = 3 is a root of a polynomial f(x), then x - 3 is a factor of this polynomial.

If x = -2 is a zero of a polynomial function f(x), then f(-2) = 0 and x - (-2) = x + 2 is a factor of f(x).

If x = -1 is an x-intercept of the function, then y = 0 and x - (-1) = x + 1 is also a factor of the function f(x).

Therefore, the polynomial expression is

[tex]f(x)=(x-3)(x+2)(x+1)[/tex]

In standard form:

[tex]f(x)=(x-3)(x^2+2x+x+2)=(x-3)(x^2+3x+2)=x^3+3x^2+2x-3x^2-9x-6=x^3-7x-6[/tex]

Answer:

The answer is 45 minutes.

Step-by-step explanation:

30 divided by 10 is 3. So it's 3 minutes per book. 3 multiplied by 15 is 45.

In an ordered pair for a Cartesian coordinate system, the input is represented by the x-axis. It is denoted as the first value in an (x, y) pair and represents the horizontal direction in a two-dimensional space.

In an ordered pair, the input is typically represented by the x-axis in a Cartesian coordinate system. An ordered pair is denoted as (x, y), where 'x' represents the input or independent variable, and 'y' represents the output or dependent variable. For instance, in a function such as y = mx + b, 'x' would be the input and 'y' would be the output. This input value corresponds to the position along the horizontal x-axis.

While the y-axis represents the vertical direction or output value, the x-component of a vector is a dot product with the unit vector in the x-direction. For two-dimensional vector problems, it's also easier to pick a coordinate system that has one horizontal axis (x) and one vertical axis (y), projecting the vectors onto these axes.

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Final answer:

In an ordered pair (x, y), the x-axis represents the input which is the horizontal direction on the Cartesian coordinate system.

Explanation:

In an ordered pair, such as (x, y), the x-axis represents the input, which is the horizontal direction, and the y-axis represents the output, which is the vertical direction. In the Cartesian coordinate system, the origin, where the x and y axes intersect, is the point of projection.

By convention, the positive x-axis generally extends to the right, and the positive y-axis extends upwards. The x-coordinate corresponds to the position along the x-axis while the y-coordinate corresponds to the position along the y-axis.

Answer:

1 x 48 = 48

2 x 24 = 48

3 x 16 = 48

4 x 12 = 48

6 x 8 = 48

8 x 6 = 48

12 x 4 = 48

16 x 3 = 48

24 x 2 = 48

48 x 1 = 48

Step-by-step explanation:

Answer:

The factor pair for 48 is 1,2,3,4,6,8,12,16,24 and 48

Your welcome!

Answer:

137.5° and 42.5°

Step-by-step explanation:

supplementary angles are two angles whose sum is equal to 180°.

Let the second angle be x then it is given that the first angle is 10 degrees more than 3 times second angle that is 3(x)+10°.

we know that the sum of first and second angles is 180° (supplementary angles)

so, (3(x)+10°)+(x) = 180°

                   4(x) = 170°

                       x = 170°/4 = 42.5°

so, first angle is 3(42.5°)+10° = 137.5°, second angle is x that is 42.5°

therefore, the angles are 137.5° and 42.5°.

Answer:

THE OTHER ONE IS WRONG!!!

Expert verified FOX DUNG!

Step-by-step explanation:

Answer: 6 LB 12 OZ

16 OZ in a LB

9 LB - 2 LB = 7 LB

4 OZ - 12 OZ difference of 8 OZ

4 - 4 = 0 then 16 OZ in a LB

4 remaining - 16 = 12 dropping the 7 LB to 6 LB

Step-by-step explanation:

First, turn into just ounces (1lb. = 16oz.)

9 lb 4 oz = 148 oz

2 lb 12 oz = 44 oz

Second, subtract.

148 - 44 = 104 oz

Third, turn into pounds and ounces.

104 oz = 6 lb 8 oz

______

Best Regards,

Wolfyy :)

Answer:

C. log(1/3)

Step-by-step explanation:

Remember the quotient/subtraction rule for logs:

log2 - log6 can be written as log(2/6)

Hence, it's equal to C. log(1/3)

Hope this helps!

Mark brainliest if you think I helped! Would really appreciate!

The expressions that are equivalent to [tex]\( \log 2 - \log 6 \)[/tex] are options A and C.

The correct option is (A&C).

To solve [tex]\( \log 2 - \log 6 \)[/tex], we can use the property of logarithms that states:

[tex]\[ \log_b(a) - \log_b(c) = \log_b\left(\frac{a}{c}\right) \][/tex]

Given [tex]\( \log 2 - \log 6 \)[/tex], applying the above property:

[tex]\[ \log 2 - \log 6 = \log\left(\frac{2}{6}\right) = \log\left(\frac{1}{3}\right) \][/tex]

So, the expression \[tex]( \log 2 - \log 6 \)[/tex] is equivalent to [tex]\( \log\left(\frac{1}{3}\right) \)[/tex], which matches option C.

Now, let's check the other options:

A. [tex]\( \log(2) + \log\left(\frac{1}{6}\right) \)[/tex]

  This expression can be simplified using the properties of logarithms to [tex]\( \log\left(2 \times \frac{1}{6}\right) = \log(1/3) \),[/tex]  which is equivalent to the original expression. So, option A is also correct.

B. [tex]\( \log 2 \)[/tex]

  This option is not equivalent to the original expression. It only represents [tex]\( \log 2 \),[/tex] not the difference of [tex]\( \log 2 \) and \( \log 6 \).[/tex]

D. [tex]\( \log 3 \)[/tex]

  This option is not equivalent to the original expression. It only represents [tex]\( \log 3 \)[/tex], which is unrelated to the expression [tex]\( \log 2 - \log 6 \).[/tex]

So, the expressions that are equivalent to [tex]\( \log 2 - \log 6 \)[/tex] are options A and C.

Answer:

[tex]\large\boxed{\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{7}{12}}[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{4}+\dfrac{1}{3}\qquad\text{find}\ LCD=(4)(3)=12\\\\=\dfrac{1\cdot3}{4\cdot3}+\dfrac{1\cdot4}{3\cdot4}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{3+4}{12}=\dfrac{7}{12}[/tex]

Answer:

7/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\\text{then}\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

[tex]\text{We have the equation of a line in the standard form:}\ Ax+By=C.\\\\\text{Convert to the slope-intercept form:}\\\\4y-2x=12\qquad\text{add}\ 2x\ \text{to the both sides}\\\\4y-2x+2x=2x+12\\\\4y=2x+12\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{2x}{4}+\dfrac{12}{4}\\\\y=\dfrac{1}{2}x+3\to\boxed{m_1=\dfrac{1}{2}}[/tex]

[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{Put the value of the slope and the coordinates of the given point (-1, 4)}\\\text{to the equation of a line:}\\\\4=-2(-1)+b\\\\4=2+b\qquad\text{subtract 2 from the both sides}\\\\4-2=2-2+b\\\\2=b\to b=2\\\\\bold{FINALLY:}\ y=-2x+2[/tex]

[tex]\text{Convert to the standard form:}\\\\y=-2x+2\qquad\text{add}\ 2x\ \text{to the both sides}\\\\y+2x=-2x+2x+2\\\\2x+y=2[/tex]

Answer:

1

Step-by-step explanation:

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 65 are: 1, 5, 13, 65

Then the greatest common factor is 1.

To find the GCF using prime factorization for 42 and 65, determine their prime factors and find the common factors. The GCF of 42 and 65 is 1.

To find the GCF (Greatest Common Factor) of 42 and 65 using prime factorization, we need to find the prime factors of each number and determine their common factors.

Step 1: Prime factorize 42:
42 = 2 x 3 x 7.

Step 2: Prime factorize 65:
65 = 5 x 13.

Step 3: Find the common factors:
The only common prime factor between 42 and 65 is 1.

Therefore, the GCF of 42 and 65 is 1.

Answer:

Number of necklaces sold

Step-by-step explanation:

Every necklace sold becomes added up to make up y, and then you multiply that by $10(the money for necklaces).

Considering the definition of probability, the probability that the family visits the museum or rides the ferry is 81%.

Definition of Probabitity

Probability  is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

Union of events

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

Events and probability in this case

Let A be the event that a family visits the City Museum, and B be the event that a family rides the Three Rivers Ferry. The given probabilities are:

P(A)= 0.46

P(B)= 0.47

P(A and B)= P(A∩B)= 0.12

In this case, considering the definition of union of eventes, the probability that a course has a final exam or a research project is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.46  + 0.47 -0.32

P(F∪R)= 0.81= 81%

Finally, the probability that the family visits the museum or rides the ferry is 81%.