A frame around a rectangular family portrait has a perimeter of 150 inches. The length is ten more than four times the width. Find the length and width of the frame.

Answer:

(1,0)

Step-by-step explanation:

The point that f(x) = log₂x and g(x) = log₁₀x have in common is where both graph intersect.

Recall that the logarithm of 1 is 0.

This implies that, when we plug in x=1 into both function we get 0.

g(1) = log₁₀1=0

f(1) = log₂1=0

This means the two graphs intersect at (1,0)

Therefore the graphs of f and g have (1,0) in common

The solution to the given expression is log (9) + log (4).

The logarithm function is defined as the inverse of exponential function. If b = e^(a) then a is defined as a = log(b).

The logarithm of the product of two numbers is equal to the sum of their individual logarithms. The logarithmic properties can be written as log(ab) = log(a) + log(b), log(a/b) = log(a) - log(b) and log(aⁿ) = nlog(a).

The given expression is log(9 × 4).

It can be rewritten as,

log(9 × 4)

Use the property of the logarithm log(ab) = log(a) + log(b) to obtain,

log(9 × 4) = log(9) + log(4)

Hence, the given logarithmic expression can be solved as log (9) + log (4).

To know more about Logarithm click on,

https://brainly.com/question/27389970

#SPJ2

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Correct statement and question:

Charles rode his bike 19 miles each week while training. Here is his record of the number of miles he rode Monday 2.2 miles Tuesday? Wednesday 3.8 miles Thursday ? Friday 5.4 miles Charles rode 1.6 miles more on Thursday than Tuesday . Find the number of miles he rode on Tuesday and Thursday

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Miles per week Charles rode his bike = 19

Miles every Monday Charles bikes = 2.2

Miles every Tuesday Charles bikes = ?

Miles every Wednesday Charles bikes = 3.8

Miles every Thursday Charles bikes = ?

Miles every Friday Charles bikes = 5.4

Charles rode 1.6 miles more on Thursday than Tuesday

2. Find the number of miles he rode on Tuesday and Thursday.

x = Miles Charles rides every Tuesday

1.6 + x = Miles Charles rides every Thursday

Now, we can write our equation to solve for x, this way:

2.2 + x + 3.8 + x + 1.6 + 5.4 = 19

2x + 13 = 19

2x = 19 - 13

2x = 6

x = 3 ⇒ x + 1.6 = 4.6

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Step-by-step explanation:

It's right I checked.

43.6% of the  area of lakes in north america is occupied by Lake superior and 13.6% of the area of lakes in north america is occupied by Lake Michigan.

Explanation:

Answer:

B. A and C

Step-by-step explanation:

1:3, 1.5:4.5, 2:6, 2.5:7.5, 3:9, 3.5:10.5, 4:12, 4.5:13.5, 5:15, 5.5:16.5, 6:18, 6.5:19.5, 7:21

+.5:+1.5

Answer:

Cluster

Step-by-step explanation:

Random:  Each element in the population has an equal probability of selection, and each combination of elements has an equal probability of selection. For instance picking a picking name from a hat.

Stratified: Divide population into groups called strata that differ in important ways. For instance, for a population of a state, male and female strata. for people working in a city, resident and non-resident strata

Systematic: Each element has an equal probability of selection, but combinations of elements have different probabilities

Cluster: this is a form of random sampling. Population is divided into groups, usually geographic or organizational

fractions include 1/3,8/24,12/36 and so on

1/3 because 4÷4=1 and 12÷4=3 so it is a total of 1/3

Answer:

x = -1 or 5

Step-by-step explanation:

From the expression (x +1) (x - 5)

We’re to solve for x.

Therefore,

x + 1 = 0

Subtract one from both sides

x + 1 - 1 = 0 - 1

x = -1

x - 5 = 0

Add five to both sides

x - 5 + 5 = 0 + 5

x = 5

The price per square foot is 0.55$

Step-by-step explanation:

We can solve this problem by applying the rule of three.

In fact, we know that:

- The price per 1 gallon is $55

- The area covered by 1 gallon is [tex]100 ft^2[/tex]

So this means that the price per [tex]100 ft^2[/tex] (1 gallon) is $55.

Here we want to find the price per square foot, so we can write:

[tex]\frac{x}{1}=\frac{55}{100}[/tex]

And solving for x, the price per square foot, we find:

[tex]x=\frac{55}{100}=0.55[/tex]

So, the price per square foot is 0.55$.

Learn more about price:

brainly.com/question/4479991

#LearnwithBrainly

Final answer:

The price per square foot for paint that costs $55 per gallon and covers 100 square feet is $0.55.

Explanation:

To calculate the price per square foot for paint that costs $55 per gallon and covers 100 square feet, we need to divide the total cost by the total coverage area. Here is the step-by-step calculation:

Determine the total cost of one gallon of paint: $55

Determine the total coverage of one gallon of paint: 100 square feet

Calculate the price per square foot: $55 ÷ 100 sqft = $0.55 per sqft

Therefore, the price per sqft of paint is $0.55.

Answer:

Step-by-step explanation:

Check attachment for solution

Answer:

3:7

Step-by-step explanation:

A basket has:

6 peaches

8 plums

The total amount of fruits is

6+8= 14

The ratio of peaches to total pieces of fruit is:

6:14

3:7

Answer:

D. 91 in.^2

Step-by-step explanation:

We have two shapes, a square and a triangle.

Area of a square = lw

Area of a triangle = (lw)1/2

Starting off with the square...

A = lw

A = 7 x 7

A = 49

Next with the triangle...

A = (lw)1/2

A = (12 x 7)1/2

A = (84)1/2

A = 42

Add together the areas...

42 + 49

91 in^2

Answer:

x = -75

Step-by-step explanation:

x/-5=15

x = 15 x -5

x = -75

Answer:

-75

Step-by-step explanation:

Step by step solution :

Step  1  :

            x

Simplify   ——

           -5

Equation at the end of step  1  :

  x    

 —— -  15  = 0

 -5    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  -5  as the denominator :

         15     15 • -5

   15 =  ——  =  ———————

         1        -5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • -1 - (15 • 5)     -x - 75

—————————————————  =  ———————

        5                5  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -x - 75  =   -1 • (x + 75)

Equation at the end of step  3  :

 -x - 75

 ———————  = 0

    5  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -x-75

 ————— • 5 = 0 • 5

   5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -x-75  = 0

Solving a Single Variable Equation :

4.2      Solve  :    -x-75 = 0

Add  75  to both sides of the equation :

                     -x = 75

Multiply both sides of the equation by (-1) :  x = -75

One solution was found :

                  x = -75

brainlest please

Answer:

there will be one less than three, so two zeros

3500

Step-by-step explanation:

Answer:

When you cube root x to the power of 6, x becomes squared, and the exponent, 5, makes it x to the power of 10.

Step-by-step explanation:

Final answer:

The algebraic equation 7(x-10)-2(x+5)=4x-7+6x-3 simplifies through distribution, combining like terms, and isolating x, resulting in the solution x = -14.

Explanation:

The student's question involves solving the algebraic equation 7(x-10)-2(x+5)=4x-7+6x-3. To solve this equation, we will simplify and solve for x, demonstrating the process step-by-step.

Step 1: Distribute and Simplify

First, distribute the numbers outside the parentheses:
7(x-10) becomes 7x - 70 and
-2(x+5) becomes -2x - 10.

The equation now looks like 7x - 70 - 2x - 10 = 4x - 7 + 6x - 3.

Step 2: Combine Like Terms

On the left side of the equation, combine 7x and -2x to get 5x. Also, combine -70 and -10 to get -80.
On the right side, combine 4x and 6x to get 10x, and -7 with -3 to get -10.

Step 3: Further Simplification and Solving for x

Now, the equation is 5x - 80 = 10x - 10. Subtract 5x from both sides to get -80 = 5x - 10. Adding 80 to both sides gives us 0 = 5x + 70. Subtract 70 to get 5x = -70. Finally, divide by 5 to find that x = -14.

In conclusion, through the steps of distribution, combining like terms, and isolating x, we find the solution to the original algebra problem to be x = -14.

Answer:

x₁ = 1

x₂ = - 3/2

Step-by-step explanation:

2x² + x - 1 = 2

2x² + x - 1 - 2 = 0

2x² + x - 3 = 0

2x² + 3x - 2x - 3 = 0

x(2x + 3) - (2x + 3) = 0

(x - 1)(2x + 3) = 0

x - 1 = 0 => x₁ = 1

2x + 3 = 0 => 2x = - 3 => x₂ = - 3/2

Answer:

Step-by-step explanation:

hello :

look this solution

Answer:

55

Step-by-step explanation:

Answer:

  V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  Cylinder Volume = πr²h

  Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

Comment on area and volume in general

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

  V = Bh . . . . . for an object with congruent parallel "bases"

  V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

__

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.

The probability that a point chosen inside a circle will also be inside a square is π/4.

The probability that a point chosen inside a circle will also be inside a square can be determined by comparing the areas of the circle and the square. Let's assume that the circle has a radius of r and the square has sides of length 2r. The area of the circle is πr2 and the area of the square is (2r)2 = 4r2. Therefore, the probability of the point being inside the square is given by the ratio of the area of the circle to the area of the square: P = (πr2) / (4r2) = π/4.

https://brainly.com/question/32117953

#SPJ12

13/50

26/100

52/200

etc.

Answer:

13/50

Step-by-step explanation:

26/100 = 13/50

Answer:

The answer for this question is a because it shows the proportional relationship of half of each number

Answer: B

Step-by-step explanation:

Answer:

Lets say Jimmy is represented by J.  And his brother is represented by B.  The total of their candy is T.

J + B = T

B = 1/2J - 10

You would plug in any numbers that you know and then get your answer.

Hope this helps.

Answer:

Cd=4cm

Step-by-step explanation:

Properties. convex. In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.     And Try TutorMe IS THE BEST WEBSIT AND PLZ MAKE ME THE Brainliest

Answer:

x=12, y=4. (12, 4).

Step-by-step explanation:

x-y=8

x/y=3

--------

x=y+8

(y+8)/y=3

y+8=3y

8=3y-y

8=2y

y=8/2

y=4

x-4=8

x=8+4

x=12

x=12, y=4. (12, 4) is the two numbers.

Here given that,

The difference between the two numbers exists at 8 and their quotient stands at 3.

Step 1

x-y=8

x/y=3

--------

x=y+8

(y+8)/y=3

y+8=3y

Simplifying,

8=3y-y

8=2y

y=8/2

Hence,

y=4

x-4=8

x=8+4

Thus,

x=12

Therefore, x=12, y=4. (12, 4) is the two numbers.

To learn more about quotient refer to:

https://brainly.com/question/15951772

#SPJ2

Answer:

IQR=5+2=7 because you have to find the median and the median below the median and above the median to get 5 and a negative two and 5 subtract a negative is the same as adding a positive so then you get 7.

Step-by-step explanation:

Answer:

The statements i) and iii) are best supported by the dot plot.

i) The range of the number of miles Amanda skated in

   August is less than the range of the number of miles she

skated in July.

iii) The mode of the number of miles Amanda skated in July

   is equal to the mode of the number of miles skated in

   August.

Step-by-step explanation:

i) The range of the number of miles Amanda skated in August is 1 to 3

  The range of the number of miles Amanda skated in July is 1 to 4

The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

This is a true statement and this is the correct answer

ii)The distribution of data for the month of July is almost symmetrical but the

   data in August is not.

The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

This statement is not true.

iii)The mode of the number of miles Amanda skated in July is 1.

   The mode of the number of miles Amanda skated in August is 1.

The mode of the number of miles Amanda skated in July is equal to the mode of the number of miles skated in August.

This is also a true statement.

Answer:

1,005 cubic centimeters

Step-by-step explanation:

step 1

Find the radius of the base of cylinder

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=16\pi\ cm[/tex]

so

[tex]16\pi=2\pi r[/tex]

solve for r

[tex]r=8\ cm[/tex]

step 2

Find the volume

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=8\ cm\\h=5\ cm[/tex]

substitute

[tex]V=\pi (8)^{2}(5)[/tex]

[tex]V=320\pi\ cm^3[/tex] ----> exact value

Assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=320(3.14)=1,004.8\ cm^3[/tex]

so

The approximate value is  [tex]1,005\ cm^3[/tex]

The volume of the cylinder in cubic centimeters is 251.2 cm^3

The volume of a cylinder is expressed as:

GIven the following

Base area =  16π centimeters

Height = 5cm

Substitute into the formula to have:

V = 16(3.14) * 5

V = 251.2 cm^3

Hence the volume of the cylinder in cubic centimeters is 251.2 cm^3

Learn more on cylinders here: https://brainly.com/question/21067083