Twice the smaller of two numbers is one half of the large number. The larger number exceeds three times the smaller number by 10. Find the large number.

I would say that the answer that best describes the distributive property is "a property of the real numbers that states that the order in which numbers are added or multiplied does not change the value". Distributive property says that when you have a(b+c), you can add b and c together and then multiply by a or multiply b and c by a separately and then add them together after. It does not matter what order you choose to add and multiply in.

I hope this helps :)

Fifty Cent = 50 cents

Quarter = 25 cents

Dime = 10 cents

Nickel = 5 cents

__________________________________________________________________

15 Fifty Cent coins = 7.50 dollars

19 Quarters = 4.75 dollars

24 Dimes = 2.40 dollars

36 Nickels = 1.80 dollars

__________________________________________________________________

Total: $16.45

Hope that helps!

[tex]2\pi\approx6.28\\.38=0.38\\\\2\pi >.38[/tex]

Hello there!

[tex]2(5/3+3/4)-4/3[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

[tex]2(\frac{5}{3}+\frac{3}{4})-\frac{4}{3}[/tex]

[tex]2(\frac{5}{3}+\frac{3}{4})=\frac{29}{6}[/tex]

[tex]\frac{29}{6}-\frac{4}{3}[/tex]

You had to used least common multiple of 6 and 3.

Prime factorization of 6: 1, 2, 3, 6

3*2=6

Prime factorization of 3: 1, 3

1*3=3

Then multiply by the number

3*2=6

You can also multiply by each numerator by the same amount needed to multiply its corresponding denominator to turn it into the least common multiple is 6.

Then you had to used 4/3 multiply by the denominator and numerator by 2.

[tex]\frac{4}{3}=\frac{4*2}{3*2}=\frac{8}{6}[/tex]

[tex]\frac{29}{6}-\frac{8}{6}[/tex]

Since the denominators are equal, it combine by the fractions.

[tex]\frac{29-8}{6}[/tex]

Then you can subtract by the numbers.

[tex]29-8=21[/tex]

[tex]\frac{21}{6}[/tex]

You had to cancel by the common factor of 3.

[tex]=\frac{7}{2}[/tex]

Answer⇒⇒⇒⇒7/2

Hope this helps!

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Have a great day!

-Charlie

The answer would be d.7/2

Determine the slope - down 1, right 3. This is -1/3.

Determine the y-intercept. Up 3 from the origin.

Use this information to form an equation:

[tex]y = -1/3x + 3[/tex]

1 because any number times 1 equals itself.

Example: 3 times 1 = 3

Final answer:

The factor is 1. When you multiply any number by 1, the product is always equal to the number itself.

Explanation:

The factor is 1.

When you multiply any number by 1, the product is always equal to the number itself.

This is because multiplying by 1 does not change the value of the quantity. For example, if you multiply 5 by 1, the product is 5.

In algebra, the concept of multiplying by 1 is often used to simplify equations or expressions.

By multiplying both sides of an equation or an expression by 1, the equality is preserved, and it allows us to rearrange the terms or cancel out certain factors.

Answer:

The polynomial function [tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]

To determine the multiplicity of 0, -2, -4, 5.

The multiplicity of a root is the number of times the root appears.

First find the root of the equation, set the function equals to zero.

[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]

therefore, the root of this function are, x=0,-2, -4, 5

To find the multiplicity of the roots:

A factor of x would have a root at x=0 with multiplicity of 1

similarly,  x=-2 with multiplicity of 3

x=-4 with multiplicity of 2

x=5 with multiplicity of 4.

Answer:

0 has multiplicity 1

−2 has multiplicity 3

−4 has multiplicity 2

5 has multiplicity 4

ANSWER

[tex]x=\sqrt{3}-1[/tex] or [tex]x=-\sqrt{3}-1[/tex]

EXPLANATION

To complete the square for [tex]x^2+2x-2=0[/tex].

We rewrite the equation to get

[tex]x^2+2x=2[/tex].

We now add [tex](1)^2[/tex] to both sides to get

[tex]x^2+2x+1^2=2+1^2[/tex].

The expression on the Left Hand Side of the equation is a perfect square.

So our equation becomes

[tex](x+1)^2=2+1[/tex]

This gives us,

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

We take square root of both sides to obtain,

[tex]x+1=\pm \sqrt{3}[/tex]

[tex]x=-1\pm \sqrt{3}[/tex]

We split the [tex]\pm[/tex] to obtain,

[tex]x=\sqrt{3}-1[/tex]

or

[tex]x=-\sqrt{3}-1[/tex]

Answer:

x = √3 - 1 and x = -√3 - 1

Step-by-step explanation:

x^2  +2x - 2 = 0

To solve this equation, keep the variables on one side and constants on the other

x^2 + 2x = 2

Now to complete the square, divide the coefficient of x by 2:

2x ---> coefficient of x is 2

so 2/2 = 1

Now add the square of 1 to both the sides of the equation:

x^2 + 2x + (1)^2 = 2 + (1)^2

which makes it

(x + 1)^2 = 3

To solve it, take square root of both sides which gives

x = √3 - 1 and x = -√3 - 1

Answer:

Step-by-step explanation:

9 *10= 90 feet

90+ 46= 136 square feet

Answer:

Insert a number into the x,

the middle column, you just substitute,

and the last column, you enter what x and y is.

Step-by-step explanation:

For example,

if x was 5, I would write 5 under the column,

under the y=2x+5 column, you would write y=2*5+5,

and under the last column you would write (5, 15)

slope = - [tex]\frac{2}{3}[/tex]

calculate the slope m using the gradient formula

m= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-4}{-3-0}[/tex] = [tex]\frac{2}{-3}[/tex] = - [tex]\frac{2}{3}[/tex]

answer: [tex]-\frac{2}{3}[/tex]

work:

subtract the y values over the x values to solve, you can use this formula:

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

so, enter your values into the equation:

[tex]\frac{6}{-3} - \frac{4}{0}[/tex]

now, simplify.

[tex]\frac{2}{-3}[/tex]

so, the slope is [tex]-\frac{2}{3}[/tex].

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

We are given equation: c=6.4w, where the cost c for w pounds of walnuts.

w represents the number of pounds of walnuts.

Number of pounds could be in decimals.

The value of w = 2.5 represents 2.5 pounds of walnuts.

On plugging w=2.5 in c=6.4w equation, we get.

c=6.4×2.5 = $16.

Therefore, for 2.5 pounds of walnuts the total cost is $16.

Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.

Answer:

We are given equation: c=6.4w, where the cost c for w pounds of walnuts.

w represents the number of pounds of walnuts.

Number of pounds could be in decimals.

The value of w = 2.5 represents 2.5 pounds of walnuts.

On plugging w=2.5 in c=6.4w equation, we get.

c=6.4×2.5 = $16.

Therefore, for 2.5 pounds of walnuts the total cost is $16.

Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.

Step-by-step explanation:

-98-31 can also be written as

(-98) + (-31)

We know 98+31=129

Therefore -129

The student's question about '-98 - 31' refers to simple subtraction, not the additive inverse property. Subtracting 31 from -98 provides the answer, -129.

The student asked how to solve the expression -98 - 31 using the additive inverse property. The additive inverse property states that: for any number 'a', there is a number '-a' such that: 'a + -a = 0'. Applying this property, if you were to add 98 to -98, it would give 0. However, the question asks for -98 - 31. This doesn't require the additive inverse property, but simple subtraction. Subtract 31 from -98 to get -129.

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The answer would be 230 2/3, because to get the perimeter you have to add all the sides together, 60 5/6 + 59 1/3 + 56 1/6 + 54 1/3 = 230 2/3

The correct perimeter of the figure is 230 2/3 ft. Here option C is correct.

The perimeter of the figure is the sum of the lengths of all its sides. To find the perimeter, we need to add the fractions given for each side.

We can do this by finding the common denominator and then adding the numerators. The common denominator for 3, 6 and 9 is 18. So, we have:

54 1/3 ft = 54 + 1/3 ft = 54 + 6/18 ft = 54 6/18 ft

56 1/6 ft = 56 + 1/6 ft = 56 + 3/18 ft = 56 3/18 ft

59 1/3 ft = 59 + 1/3 ft = 59 + 6/18 ft = 59 6/18 ft

60 5/6 ft = 60 + 5/6 ft = 60 + 15/18 ft = 60 15/18 ft

Now, we can add the fractions and simplify:

54 6/18 ft + 56 3/18 ft + 59 6/18 ft + 60 15/18 ft

= (54 + 56 + 59 + 60) + (6 + 3 + 6 + 15)/18 ft

= 229 + 30/18 ft

= 229 + 1 12/18 ft

= 229 + 1 2/3 ft

= 230 2/3 ft

Therefore, the perimeter of the figure is 230 2/3 ft. Here option C is correct.

To learn more about perimeter

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Equals to 54...

Hope this helps....

The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.

It's asking "what number can we add to both sides of this equation so that we isolate x?"

Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)

So we really have this equation: x+20 = 25

We can add -20 to both sides to cancel out the +20 on the left side

x+20 = 25

x+20+(-20) = 25+(-20) ...... add -20 to both sides

x = 5

This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25

Answer:

x=2

Step-by-step explanation:

To solve this, you must isolate x. To do this, divide both sides by 425 because that is what x is being multiplied by (and dividing is its opposite). Then, you get the answer, x=2.

f(5) = 4(5) - 11

f(5) = 20 - 11

f(5) = 9

The answer is 9 :)

Please give BRAINIEST :)

Thanks

By assigning the value of X to the function, we have:

f( x ) = 4 x - 11

f ( 5 ) = 4 * 5 - 11

f ( 5 ) = 20 - 11

f(5 ) =  9

therefore f ( 5 ) = 9

it is true!!!! hope this helps

In this flowchart proof, we utilised the Corresponding Angles Postulate to conclude that line c is parallel to line d. Given that line a is parallel to line b, and angle 7 is congruent to angle 10, we can say that corresponding angles on line c and line d are also congruent, hence proving line c is parallel to line d.

For this flowchart proof, we will use the idea of corresponding angles and the postulate that if a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.

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Final answer:

The domain of the function f(x)=5ˣ-3+1 is all real numbers (-∞, +∞), and the range is all real numbers greater than -2 (-2, +∞).

Explanation:

For the given function f(x) = 5ˣ - 3 + 1, the domain and range can be determined by understanding the behavior of the function's formula. The domain refers to all possible x-values that can be input into the function, and the range refers to all possible y-values that the function can output.

The domain of any exponential function like 5ˣ is all real numbers because you can raise 5 to any power, whether it's positive, negative, or zero. Therefore, the domain of f(x) is (-∞, +∞).

To find the range of the function, we look at the output values. Since exponential functions grow without bound as x increases and approach zero as x decreases (but never actually reaches zero), 5^x will do the same. When we subtract 3 and then add 1, we're simply moving the graph down by 2 units. Thus, where the original function 5ˣ would never be less than 0, after the transformation, the function will never be less than -2. So, the range of f(x) is (-2, +∞).

x=10 hope this helps

answer:  [tex]x = -10[/tex]

work:

[tex]-57=-6x+3[/tex]  | subtract 3 and move it over to the 53, and solve.

[tex]-60 = 6x[/tex]  | divide by 6 to -60, and solve.

[tex]-10 = x[/tex]  | final answer.

hope this helps! ❤ from peachimin

[tex]a=\dfrac{2d}{t^2}\ \ \ \ \ |\text{solve for t} \\ \\\\\dfrac{2d}{t^2}=\dfrac{a}{1}\ \ \ \ \ |\text{cross multiply}\\\\at^2=2d\ \ \ \ \ |:a\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}\\\\\text{We have}\\ \\a=2\dfrac{m}{s^2},\ d=10m\\\\\text{substitute}\\\\t=\sqrt{\dfrac{2\cdot10m}{2\frac{m}{s^2}}}=\sqrt{10m\cdot\dfrac{s^2}{m}}=\sqrt{10s^2}=\sqrt{10}\ s\\\\Answer:\ C.\ \sqrt{10}\ seconds[/tex]

A. 0.370

B. 0.44

C. 0.1

D. 2.75

Answer: a) 0.370 b) 0.440 c) 0.1 d) 2.75

Step-by-step explanation:

Since we have given that

a. 0.370, 0.307, 0.037, 0.3007

First we write it in the ascending order :

0.037<0.3007<0.307<0.370

So, the largest decimal = 0.370

b. 0.404, 0.044, 0.44

We write it in ascending order :

0.044<0.404<0.440

So, the largest decimal = 0.440

c. 0.05, 0.049, 0.009, 0.1

Ascending order :

0.009<0.049<0.05<0.1

So, the largest decimal = 0.1

d. 2.7, 2.5, 2.75

Ascending order :

2.5<2.7<2.75

So, the largest decimal = 2.75

The number of full servings of bibimbap can you make is dividing the total cups of rice by cups of rice per serving.

You can make 6 whole servings remainder 1 cup of rice

Given:

Total cups of rice = 5 cups

Cups of rice per servings = 4/5 cup

Number of servings of bibimbap can you make = Total cups of rice ÷ Cups of rice per servings

= 5 cups ÷ 4/5 cup

= 5 × 5/4

= (5 × 5) / 4

= 25 /4

= 6 whole servings remainder 1 cup of rice

Therefore, you can make 6 whole servings remainder 1 cup of rice

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