The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the triangle? HURRY PLEASE!!!

a
112 units

b
square root 112 units

c
130 units

d
square root 130 units

The three digit number is 727 while the one digit number is 4

Given data

The sum of a three-digit number and a one-digit number is 731.

The product of the numbers is 2,908

let three digit number be x, y, and z

let the one digit be w

The sum

xyz + w =731

xyz * w = 2,908

making xyz the subject of formula

xyz = 731 - w

plugging in xyz into xyz * w = 2,908

( 731 - w ) * w = 2908

731w - w^2 = 2908

w^2 - 731w + 2908 = 0

solving the quadratic equation gives

w = 727 or 4

since w is a one digit number then w = 4

plugging in w = 4 into xyz + w =731 we have

xyz + w =731

xyz + 4 =731

xyz =731 - 4

xyz  = 727

Hence the three digit number is 727 while the one digit number is 4

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Answer:

animals vs. gender:

    male dogs: 74.4%

    marginal distribution for female animals: 49.4%

weight class vs gender:

    marginal distribution for female: 62.0%

    males who are underweight: 71.5

    overweight individuals: 21.8%

Step-by-step explanation:

animals vs. gender:

male dogs:

there are 43 dogs

and there are 32 male dogs

32 divided by 43

say it like 32.000 ÷ 43 = .744186

move the decimal two times to the right to find your percentage

74.4%

marginal distribution for female animals:

there are 39 females

and 79 animals

39 divided by 79

.49367

move the decimal two times to the right to find your percentage

49.36%

which would approximate to

49.4%

weight class vs gender:

marginal distribution for female:

there are 620 girls

and 1000 people

so, 620 divided by 100

write it like this 620.0 ÷ 1,000

.62

move the decimal two times to the right to find your percentage

62%

males who are underweight:

there are 93 underweight males

and 130 underweight people in total

93 divided by 130

.7153846
move the decimal two times to the right to find your percentage

71.5%

overweight individuals:

there are 218 overweight people and 1000 people in total

218 divided by 1000

.218

move the decimal two times to the right to find your percentage

21.8%

Sometimes in math we describe an expression with a phrase

"2 more than 5"

can be written as the expression

2 + 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)

There are two ways to write the given expression in words

1.The sum of the quotient of the number k by the number 3 and the number 16.

the sum (+)

quotient k/3 = k : 3

2.The sum of the third part of the number k and the number 16.

third part = k/3

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The length of the rectangle is 6 meters and the width is 2 meters.

Perimeter is the sum of the lengths of all the sides of a given 2D plane figure.

A rectangle area has a length that is 4 more than its width.

Assuming the width of the rectangle to be x meter,

∴ The length of the rectangle is (x+4) meters.

Also given that the rectangle area is 12 sq meters.

We know, that the area of a rectangle is a product of its length and width.

∴ [ x × (x+4) ] = 12.

x² + 4x = 12.

x² + 4x - 12 = 0.

x² + 6x - 2x - 12 = 0.

x(x+6) -2( x+6) = 0.

(x+6)(x-2) = 0.

x + 6 = 0 Or x - 2 = 0.

x = -6 or x = 2.

We know distance can not be negative so, x = -6 is inadmissible.

So, the width of the rectangle is 2 meters and length is (x+4) = (2+4) = 6 meters.

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From the graph of f(x) = 4|x + 1| - 3 given at the end of the answer, we have that:

Hence, from the graph of the function, and the bullet points above, we have that:

The function is positive when x < -1.75 and x > -0.25, and negative for -1.75 < x < -0.25, increasing when x > -1 and decreasing when x < -1.

It is given by the values of y when x -> ∞.

Hence:

For the end behavior, y -> + ∞ when x -> -∞ and y -> +∞ when x -> +∞.

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The multiplication of the expression ( √5 + √11 )( √5 - √11 ) is - 6.

Multiplication in elementary algebra is the process of figuring out the outcome of multiplying a number by a number b. The product of a and b is the outcome of multiplication, and each of the integers a and b is referred to as a factor of the product ab.

Consider the expression,

y = ( √5 + √11 )( √5 - √11 )

Using the distributive property,

a( b + c ) = ab + ac

y = (√5 + √11 )( √5 - √11 )

y = √5( √5 - √11 ) + √11( √5 - √11 )

y = ( √5 )² - √5 × √11 + √11 × √5 - ( √11 )²

y = 5 - √55 - √55 - 11

y = 5 - 11

y = - 6

The value of the expression (√5 + √11 )( √5 - √11 ) when simplified is - 6.

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Answer:

OKKKKKKKKKKKK

Step-by-step explanation:

POST EM PLEASE

Answer:

screenshots

Step-by-step explanation:

press ctrl f5.

9/29 < 1/a + 1/b < 7/12

Here we have two expression

3 < a < 4 and 4 < b < 5

We have to find the value of the expression

   1/a + 1/b

The lower bound of the expression is when we take the maximum value of both the expression  a and b

a = 4 and b = 5

 From this we get

= 1/ 4 + 1/5

= 5 + 4 / 20

9/ 20

In the same way, we get the higher bound of the expression taken by taking  the minimum value of both the expression a and b

a = 3 and b = 4

By putting the value of a and in the expression we get:

1/ 3 + 1/4

= 4+3 / 12

= 7/12

Thus we get the possible value of the expression :

9/20 <1/a + 1/b < 7/12

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Answer:

hello!!

i like ur pfp! :)

Converting the given radicals into their exponential forms, √x³ / ³√x² = ⁶√x⁵

When work with radical numbers, sometimes it is easier to express them in exponential form first.

[tex]\sqrt[n]{a^{b}}=a^{\frac{b}{n}[/tex]

Recall the rules of exponent operations:

Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.

Example:

[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]

Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.

Example:

8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2

The given problem:

Simplify   √x³ / ³√x²

[tex]\sqrt{x^{3}}=x^{\frac{3}{2}}[/tex]

[tex]\sqrt[3]{x^{2}} =x^{\frac{2}{3}[/tex]

Using quotient rule of exponent:

[tex]x^{\frac{3}{2}}:x^{\frac{2}{3}}=x^{(\frac{3}{2}-\frac{2}{3}) }=x^{\frac{5}{6} }=\sqrt[6]{x^{5}}[/tex]

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The sample space is 0, 1, 2, 3, 4, 5, 6, 7.

Set A is {0, 1, 2, 3, 4}

Set B is {1, 2,3, 4, 5, 6, 7}

The probability of selecting a number less than 5 is 5 / 8.

The probability of spinning a natural numbers is 7/8

The probability of spinning natural numbers and numbers less than 5 is 1/2

A and B is {1, 2, 3, 4}

A' and B =  {5, 6, 7}

The probability of spinning a number not less than 5 or a natural number is 1 3/8

A Venn diagram uses circles that overlap each other to show logical relationships between two or more sets of items. The relationship that is being illustrated with this Venn diagram is the relationship between natural numbers and numbers less than 5.

A natural number includes all positive numbers from 1 to infinity. Natural numbers does not include zero (0). The sample space represents all the possible sets of outcome. In mathematics, a set can be described as a collection of objects whose elements are fixed and cannot be changed.

The probability of selecting a number less than 5 = numbers less than 5/ total numbers

5 / 8

The probability of spinning a natural numbers = all natural numbers / total numbers

7/8

The probability of spinning natural numbers and numbers less than 5 = 4/8 = 1/2

A' = 5,6,7

B = 1, 2, 3, 4, 5, 6, 7

A' and B - 5, 6, 7

The probability of spinning a number not less than 5 or a natural number= ( 4/8) + (7/8) = 11/8 = 1 3/8

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Step-by-step explanation:

t - 5 = 12 | add 5 to both sides

t = 17

and that is it. that's all we needed to do.

Answer:

-2.886

Step-by-step explanation:

4.1/3y+9=12

41/10/3y+9=12

41/10=12(3y+9)

41/10=36y+108

41=10(36y+108)

41=360y+1080

41-1080=360y

-1039=360y

y= -1039/360

y= -2.886

The number of white bread sold is 65.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

We have,

Let the White bread be M

Let the Wheat bread be N

4 loaves of white bread for every 5 loaves of wheat bread can be written as:

4M = 5N _____(1)

Total number of bread sold = 117

M + N = 117 _______(2)

The number of white bread sold:

From (1)

N = 4M / 5 Putting in (2)

M + 4M/5 = 117

(5M + 4M) / 5 = 117

9M = 117 x 5

M = 13 x 5

M = 65

Thus the number of white bread sold is 65.

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Answer:

52 i just did the test

Step-by-step explanation:

The price of small box of tangerines is $14.43 approx. and price of large box of tangerines is $ 17

Let the price of small boxes be x and the price of large boxes be y

we need to form a linear equation in two variable

So, Kayla's equation is

7x + 4y = 166

and Shawna's equation is

7x+ 3y = 149

Subtracting equation 2 from equation 1

 7x + 4y = 166

(-) 7x +3y = 149

we get y = 17

Now substituting the value of y in equation 1

7x + 4(17) = 169

7x +68 = 169

7x = 101

x= 14.428

Hence, The price of small box of tangerines is $14.43 approx. and price of large box of tangerines is $ 17

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Answer:

160 people in total

Step-by-step explanation:

The table shows the starting and ending elevations of a hiking trail. Point on Trail Elevation Starting Point 180 ft below sea level Ending Point 260 ft above sea level How much greater is the elevation of the ending point than the starting point for the trail

Answer:

U'(-2 , -2)

Step-by-step explanation:

U(2 , -2)

Let R be the rotation of center the origin O(0 , 0) and angle 270

Let M(z = x + iy) a point of the plane and  its image M'(z' = x' + iy') by the rotation R.

Then

[tex]z^{\prime }=e^{i\frac{3\pi }{2} }\times z[/tex]

Then

x' + iy' = (0 -i)×(x + iy)

Then

x' + iy' = (-i) × (x + iy)

         = -ix + y

Then

x' = y and y' = -x

Then

R transform M(x , y) to the point M'(y , -x)

Conclusion :

The image of U(2 , -2) by R is :

U'(-2 , -2)

Answer:

0.0939 as a fraction is 939/10000

Step-by-step explanation:

939 all over 10,000

in 0.0939 the point move

Answer:

i think its B

Step-by-step explanation:

The quotient of 3 and 1 over 5 divided by 1 over 3 is 9.6

We we would start first by having the definition for the term quotient. This is defined as the value that is gotten when we divide on quantity by another quantity.

From the definition that we have gotten here, we would have to divide the values by themselves and get the final solution.

We have  3 and 1 over 5 divided by 1 over 3 to be represented as

[tex]3\frac{1}{5} / \frac{1}{3}[/tex]

This would be rewritten as

(16 /5) / (1/3)

= 16 / 5 x 3/1

= 48 / 5

= 9.6

Hence the quotient of 3 and 1 over 5 divided by 1 over 3 is 9.6

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Answer: (t-r) / 21 = -0.857    where,   t= -6 and r= 12

Step-by-step explanation:

Given data,

t-r divided by 21

where, t= -6 and r= 12

So, we can write,

                            = (t-r) / 21

Let us assume,

                  (t-r) / 21 = x

So,

           x = (t-r) / 21 { t = -6 and r = 12             (eq-1)

         x = (t-r) / 21

We can substitute,    t = -6 and r = 12   values in this equation 1

so, we can write,

                            x =   (t-r) / 21

                            x = (-6-12) / 21

                            x = -18/21

                            x = -6/7

                            x = -0.857

Therefore,

                       (t-r) / 21 = -0.857    where,   t= -6 and r= 12

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Answer:

- 3/4 for line passing through AB

- 2/3 for line passing through CD

Step-by-step explanation:

Slope = rise/run = (y2-y1)/(x2-x1) for any two points (x1, y1) and (x2, y2)

Line Passing through AB
Take points (0, 6) and (8, 0)

Slope = (0-6)/(8-0) = - 6/8 = -3/4

For line passing thru CD
take points (0, 2) and (3, 0)
Slope = (0 - 2)/(3 - 0) = -2/3

The slope of the two lines       - 3/4 for line passing through AB

- 2/3 for line passing through CD

What is a meaning of a slope?

two points (x1, y1) and (x2, y2)

Slope   [tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} }[/tex]

Line Passing through AB

Take points (0, 6) and (8, 0)

Slope = (0-6)/(8-0) = - 6/8 = -3/4

For line passing through CD

take points (0, 2) and (3, 0)

Slope = (0 - 2)/(3 - 0) = -2/3

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The number of sets of forks that Vani can buy for the restaurant is 48.

The first step is to determine the appropriate inequality sign to use:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used is ≥.

(Number of forks per set x number of sets that would be bought) ≥ (number of forks needed - number of forks the restaurant has)

(10 × xx) ≥ (795 - 315)

10xx ≥ 480

xx ≥ 480 / 10

xx ≥48

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Answer:

Answer: 102

Step-by-step explanation:

solved

The inequality which helps to find the number of trading cards Lamont needs, x as required in the task content is; x + 20 >= 42 and it's solution is; x >= 22.

It follows from the task content that the inequality which represents Lamont's situation as described by the word phrase is required.

First, the word phrase "at least" is represented by the inequality sign, greater or equal to.

Hence, since he has 20 trading cards already and needs at least 42, the number of cards needed x is such that;

x + 20 >= 42.

Hence, the required inequality is as represented above and it's solution is;

x >= 42 -20

x >= 22.

Ultimately, The inequality which helps to find the number of trading cards Lamont needs, x as required in the task content is; x + 20 >= 42 and it's solution is; x >= 22.

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The cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.

The cost per pound of flour = Cost of a sack of bread flour / Weight of a sack of bread flour

= $9.75 / 50 lbs

= $0.195 per pound

1 pound = 16 ounces

50 pounds = 50 × 16

= 800 ounces

The cost per ounce of flour = Cost of a sack of bread flour / Weight of a sack of bread flour

= $9.75 / 800

= 0.0121875 per ounces

This is the cost to acquire a unit of a good or service for a specific quantity that is purchased.

Therefore, the cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.

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The example regarding the values of digits is also true for decimal numbers, as we showed with 0.52.

For example, for the decimal 0.52.

.52 = 5 x 0.1 + 2 x 0.01 = 0.52.

Hence, moving a digit one place to the left, the value is 10 times as much, as we saw with digits 5 and 2 in the number 0.52.

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Answer:

14

Step-by-step explanation:

19 - 5 = 14

Answer:

the difference would be 14