How do you write 0.35 as a fraction in simplest form

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

Answer:

3.08    i turned it to a decimal

Step-by-step explanation:

2 3/4= 2.75

1/3=.33 and add them to get 3.08

in fraction form it is 3 1/12

Answer:

3

Step-by-step explanation:

Given 2 3/4 + 1/3

First change the mixed fraction to improper fraction .

That’s 2 2/3 becomes 8/3. Multiply the denominator 3 by the whole number 2 and then add it the numerator 3.

Now we have 8/3 + 1/3 .

We look for the lowest common multiple LCM of the denominators of the fractions.

The LCM is = 3

Now divide the denominator of each fraction by the LCM 3 and multiply the result by the numerator.

We have 8 + 1 /3 .

Everything divided by the LCM.

8 + 1 /3

9/3

3/1

3

Answer:

Measure of angle x = 74

Measure of angle y = 90

Step-by-step explanation:

The required measure of angle x in the triangle inscribed in the circle is 74°.

Following the given, there is a property of a circle that states that, the angle subtended through the endpoints of the longest chore of the circle(i.e. diameter) on the circumference of a circle is always 90°.
So, y = 90°
Now,
The measure of angle x is given as:
[tex]x + 90 + (180-148)/2 = 180[/tex]
x = 74

Thus, the requried measure of angle x in the triangle inscribed in the circle is 74°.

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Yo sup??

This question can be solved by multiplying the numerator and denominator by 3^1/2

and the answer u will get will be

5*3^1/2-6^1/2)/3

Hope this helps

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.

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:

Answer012345

Step-by-step explanation:

Answer:

x = (-7)/5

Step-by-step explanation:

Solve for x:

3 (x - 6) - 8 x = 5 (2 x + 1) - 2

3 (x - 6) = 3 x - 18:

3 x - 18 - 8 x = 5 (2 x + 1) - 2

Grouping like terms, 3 x - 8 x - 18 = (3 x - 8 x) - 18:

(3 x - 8 x) - 18 = 5 (2 x + 1) - 2

3 x - 8 x = -5 x:

-5 x - 18 = 5 (2 x + 1) - 2

5 (2 x + 1) = 10 x + 5:

-5 x - 18 = 10 x + 5 - 2

Add like terms. 5 - 2 = 3:

-5 x - 18 = 10 x + 3

Subtract 10 x from both sides:

(-5 x - 10 x) - 18 = (10 x - 10 x) + 3

-5 x - 10 x = -15 x:

-15 x - 18 = (10 x - 10 x) + 3

10 x - 10 x = 0:

-15 x - 18 = 3

Add 18 to both sides:

(18 - 18) - 15 x = 18 + 3

18 - 18 = 0:

-15 x = 3 + 18

3 + 18 = 21:

-15 x = 21

Divide both sides of -15 x = 21 by -15:

(-15 x)/(-15) = 21/(-15)

(-15)/(-15) = 1:

x = 21/(-15)

The gcd of 21 and -15 is 3, so 21/(-15) = (3×7)/(3 (-5)) = 3/3×7/(-5) = 7/(-5):

x = 7/(-5)

Multiply numerator and denominator of 7/(-5) by -1:

Answer: x = (-7)/5

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:

Answer:

there will be one less than three, so two zeros

3500

Step-by-step explanation:

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.

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Answer:

X=-3

Step-by-step explanation:

13/50

26/100

52/200

etc.

Answer:

13/50

Step-by-step explanation:

26/100 = 13/50

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:

55

Step-by-step explanation:

Answer:

Step-by-step explanation:

eq. of line through (0,0) and (6,3)

[tex]slope=\frac{3-0}{6-0} =\frac{1}{2} \\y-0=\frac{1}{2} (x-0)\\y=\frac{1}{2}x\\when~x=2\\y=\frac{1}{2}*2=1[/tex]

The value of b is -3

Explanation:

The function is [tex]f(x)=\frac{1}{4} x^{2} +bx+10[/tex] and [tex]x=6[/tex]

The function is of the form [tex]y=a x^{2}+bx+c[/tex]

where [tex]a=\frac{1}{4}[/tex], [tex]b=b[/tex] and [tex]c=10[/tex]

Using the axis of symmetry formula, we can determine the value of b.

Thus, the axis of symmetry formula is given by,

[tex]x=\frac{-b}{2a}[/tex]

Substituting the values, we have,

[tex]6=-\frac{b}{2(\frac{1}{4}) }[/tex]

Multiplying the denominator, we get,

[tex]6=-\frac{b}{\frac{1}{2} }[/tex]

Dividing, we get,

[tex]6=-2b[/tex]

Dividing both sides by -2, we get,

[tex]-3=b[/tex]

Hence, the value of b is -3.

Answer:

-3

Step-by-step explanation:

Edge 2021

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:

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.

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.

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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$.

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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:

Length = 30√2 yards.

Step-by-step explanation:

There is a plot of land of square shape that has 30 yards on each side. Jules owns this plot. He plans to divide the land in half by building a fence along the diagonal of the plot.

We have to calculate the length of the fence.

Now, the length of the diagonal will be the length of the fence.

So, the length = [tex]\sqrt{30^{2} + 30^{2}} = 30\sqrt{2}[/tex] yards. (Answer)

Answer:

C. 30√2 yd

Step-by-step explanation:

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

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:

infinity numbers above 12

The inequality x > 12 has infinitely many solutions as it represents all numbers greater than 12 without any upper limit.

The inequality x > 12 actually has infinitely many solutions, since any number greater than 12 satisfies the inequality condition.

In mathematics, inequalities that do not contain restrictions other than the comparative operator (in this case, '>') have a set of solutions that can be represented on a number line extending infinitely in one direction.

For example, if x > 12, then numbers such as 13, 14.5, 100, and 1234 are all solutions.

This can be visualized on a graph where x > 12 would be shown as an open interval starting from 12 and extending to the right toward infinity.

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

Final answer:

To find out how many children like each drink in a year group of 60 pupils, calculate each fraction of the total. 45 pupils like Coke, 12 pupils like Sprite, and 18 pupils like Tango.

Explanation:

In a year group of 60 pupils, to find out how many children like each drink, you need to calculate the fractions of the total number of pupils.

Therefore, 45 pupils like Coke, 12 pupils like Sprite, and 18 pupils like Tango.

Final answer:

45 children like Coke, 12 children like Sprite, and 18 children like Tango.

Explanation:

To find out how many children like each drink, we can use the given fractions and the total number of children in the year group.

Let's calculate the number of children who like Coke:

Total children in the year group = 60

Fraction who like Coke = 3/4

Number of children who like Coke = (3/4) x 60 = 45

Similarly, we can calculate the number of children who like Sprite and Tango:

Fraction who like Sprite = 1/5

Number of children who like Sprite = (1/5) x 60 = 12

Fraction who like Tango = 3/10

Number of children who like Tango = (3/10) x 60 = 18

Therefore, 45 children like Coke, 12 children like Sprite, and 18 children like Tango.

Answer:

Step-by-step explanation:

Check attachment for solution

Answer:

124 plants

Step-by-step explanation:

7.25*4.25=30.8125

30.8125*4=123.25

Since you can't buy 1/4 of a plant, you must round up to 124.