Question 5 - Give your answer in its simplest form

Answer:

the son had $20 and the father had $200

Step-by-step explanation:

20 x 10 = 200

200 + 20 = 220

Cant be 22, Ah, 20!

Because 20 Times 10 is 200, and you add the 20 and you get 220!

Answer:

-37

Step-by-step explanation:

-5(6) - 7

= -30-7

= -37

Hope this helps!

Answer:

-37.

Step-by-step explanation:

The order of operations is given by PEDMAS.

ParenthesesExponentsDivideMultiplyAddSubtract.

- 5 x 6 - 7:

Multiplication is done before Subtraction:

= -30 - 7

= -37.

Answer:

y = -1/3x + 8

Step-by-step explanation:

If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.

(basically if one is say -2/3, the other is 3/2. just flip it upside down)

So this slope is 3, so the new slope should be -1/3

The equation is now y = -1/3x + b

To find b, substitute (-9,5) in the equation

y = -1/3x + b

5 = -1/3(9) + b

5 = -3 + b

8 = b

So the equation is y = -1/3x + b

Answer:

y = -1/3x + 2

Step-by-step explanation:

I dont know who verified the other guy but he is wrong

Answer:

square root of 221

Step-by-step explanation:

d= sqrt (14-3)^2 + (2-12)^2

sqrt 121+100= sqaure root of 221

Answer:

Distance between the points (3, 12) and (14, 2) is 14.8661

Step-by-step explanation:

Distance between two points = √(xB−xA)^2+(yB−yA)^2

Solution :

Distance between two points = √(14−3)^2+(2−12)^2

= √11^2+(−10)^2

= √121+100

= √221 = 14.8661

Answer:

9w+8f+46, 11m+7, 3.1p-8.37, 8+5m.

Step-by-step explanation:

9(w+6)+4f+4(f-2)

9w+54+4f+4f-8

9w+54-8+8f

9w+46+8f

---------------------

2m+7+9m=2m+9m+7=11m+7

-------------------------------------------

3.1(p-2.7)=3.1p-8.37

---------------------------

5(3+m)-7=15+5m-7=8+5m

Answer:

7

Step-by-step explanation:

Using subtraction method, the distance between 3 and 10 is 7. On the number line, the starting point is 3; therefore, from 3 movement will take seven times to get to 10.

Answer:

The missing side “x” is 2.

Step-by-step explanation:

From the given figure, we came to know that these are “similar triangles” where the ratio of the one “corresponding side” of a triangle is equal to the other two “corresponding sides” of a triangle.

Let the triangles be ∆ABC and ∆DEF

[tex]\Delta A B C \sim \Delta D E F[/tex]

From similarity of triangle rule the sides,

[tex]\frac{A B}{D E}=\frac{B C}{E F}[/tex]

Given that,  

AB = x, DE = 8, BC = 4 and EF = 16

[tex]\text { Substitute the values in } \frac{A B}{D E}=\frac{B C}{E F} \text { to find }^{u} \mathrm{x}^{\prime \prime}[/tex]

[tex]\frac{x}{8}=\frac{4}{16}[/tex]

[tex]\frac{x}{8}=\frac{1}{4}[/tex]

[tex]x=\frac{8}{4}[/tex]

x = 2

Therefore, we found the missing side x = 2

Answer: The answer is equivalent fractions.

Step-by-step explanation:

I hope this helped you! :D

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

[tex](2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51[/tex]

Dividing both sides by 3,

[tex]\frac{3y}{3}=\frac{51}{3}\\y=17\\[/tex]

Putting y=17 in Eqn 2

[tex]x=2(17)+9\\x=34+9\\x=43[/tex]

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

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Answer:

g(x) is translated six units down from f(x).

Step-by-step explanation:

f(x ± k) is for a horizontal translation. So that rules out the first two.

f(x) ± k is a vertical translation. In this case, a negative number means it's moving down and a positive means it's moving up. Because we have a negative (in other words subtracting) we move line on the graph down.

The best description of the graph of g (x) with respect to the graph of

f (x) will be;

''g (x) is translated 6 units down from f (x)''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The functions are,

⇒ f (x) = 3/4 x

And, g(x) = (3/4)x - 6

Now,

Since, We know that;

The function f (x) after the translation 'a' unit down, so we get the new function,

⇒ g (x) = f (x) - a

Here, The function g (x) is translation of f (x).

Thus, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''

Therefore, The best description of the graph of g (x) with respect to the graph of f (x) will be;

''g (x) is translated 6 units down from f (x)''.

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Answer: Its 8 hours a day.

              56/7=8hours

Answer:

number 7 is y= [tex]\frac{-ax+c}{b}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) x/840=1/21

x=(1/21)*840=840/21=40

x=40

------------------

B) 14/x=16/20

simplify 16/20 into 4/5

14/x=4/5

x=14/(4/5)=(14/1)(5/4)=70/4

simplify

x=35/2

The equation would be y = 3x+2

Here's an explanation:

Let y represent the length of the baby flower in total, and let x represent the number of months that have passed. Since the flower grows at a rate of 3 inches every month, then for x number of months, it would grow 3 times x, which is 3x. The problem also tell us that the flower is already 2 inches tall, which now makes it 3x+2. So the total length is equal to 3x + 2 inches, so the equation would be y=3x+2

Answer:

8 percent

Step-by-step explanation:

When you're trying to find the percentage, first, you divide what you're trying to find over the total amount.

2/25.

What you get from this is 0.08. However, this is a decimal, not a percent. When converting from decimal to percent, you multiply the decimal by 100 to get 8 percent.

Answer:

8%

Step-by-step explanation:

2/25=8/100=0.08=8%

Answer:

Yes

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }[/tex]

If we say u = √n, then:

[tex]\sum_{u=1}^{\infty} (\frac{1}{e})^{u}[/tex]

This is a geometric series.  Since |1/e| < 1, the series converges.

Answer:

x=4

Step-by-step explanation:

-2(x+2)=-12

x+2=-12/-2

x+2=6

x=6-2

x=4

Answer:

Solution: [tex]x=-\frac{1}{5}[/tex],[tex]x=0[/tex]

Step-by-step explanation:

Given:

The rational equation to solve is given as:

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

Doing cross product, we get:

[tex]x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}[/tex]

Now, for [tex]x=0[/tex], the rational equation is equal to 0. So, [tex]x=0[/tex] is a solution.

Also, [tex]x=-\frac{1}{5}[/tex] is also a solution.

So, no extraneous solution.

Answer:

5x-2y + 8 =0

Step-by-step explanation:

2y=5x+8

5x-2y + 8 =0

To convert grams to pounds, divide the weight in grams by 453.6. In this case, the weight of the box of cereal is 600 grams, which is approximately 1.32 pounds.

To convert grams to pounds, divide the weight in grams by 453.6. In this case, the weight of the box of cereal is 600 grams. So, 600 grams ÷ 453.6 = 1.3228 pounds. Therefore, the weight of the box of cereal is approximately 1.32 pounds.

Answer:

Not exactly sure what "funny numbers" are but I'm assuming you mean prime numbers? In that case there are a total of 7 prime numbers between 30 and 60.

Step-by-step explanation:

Answer:

42 but with no 0

Answer:19.25

Step-by-step explanation:

Answer:

9⅝cm²

Step-by-step explanation:

So the formula is

A=1/2bh

A=1/2(5 1/2)(3 1/2)

Turn to improper so it'll be easier

A=1/2(11/2)(7/2)

A=11/4(7/2)

A=77/8

a=9 5/8 cm²

your welcome

Answer:

Rational Numbers

Step-by-step explanation:

A hat size cannot be integers as that would include negative numbers. For example a person who's hat size is 7 & 5/8 which would make the answer 7.625 which is a rational number.

Answer:

"Rational numbers" is the set of numbers among the choices that are given in question that is the most reasonable to describe a person's hat size.

Step-by-step explanation:

rational numbers are by far the most reasonable description.   The circumference of the human head certainly is not always an integer or whole number.

For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number. 

hope this helps you

if this is correct can you give me the brainliest

This problem is tricky. Let's break it down.

1/4 - book

------------------------------------------------------

1/3 of the remainder(3/4) - stationery

"OF" MEANS MULTIPLY

1/3 x 3/4 = 1/4

So, 1/4 of total allowance on stationery.

Meaning, he spent 1/2 of his allowance in all, and 1/2 of his allowance is $18.

Since the book cost 1/4 of his allowance, and (1/4)2 = 1/2, the book cost 18/2 = $9.

Answer:

Lacy is 14 and Jack is 56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Final answer:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex]. Using fraction strips, 4 members each getting [tex]\frac{1}{6}[/tex] of the tomato equals [tex]\frac{2}{3}[/tex] of the total tomato.

Explanation:

The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex].

We can represent this using fraction strips. If Mark slices 4 members of his family, each getting [tex]\frac{1}{6}[/tex] of the tomato, we can visually represent this as Dividing the fraction strip into 6 equal parts. Shade in 1 part of the strip, representing [tex]\frac{1}{6}[/tex] of the tomato.

If Mark slices 4 members, he will slice 4 times [tex]\frac{1}{6}[/tex], which equals [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex] of the tomato.

Answer:

B) y=1/4x

Step-by-step explanation:

Because the slope of this graph is 1/4. You can find this because slope=rise/run. On the graph, it's always 1 upward and 4 rightwards, therefore, the slope is 1/4. Also, the y-intercept is 0 in this case.

Final answer:

The system of linear equations x + y = 75 and 10x + y = 48 is solved using the elimination method, resulting in the solution x = 3 and y = 72.

Explanation:

The student is given a system of two linear equations:

To solve this system, we can use the method of elimination or substitution. Here, elimination appears to be the more straightforward method. We'll subtract the second equation from the first to eliminate the variable y, as they both have the same coefficient in y. Subtracting the second equation from the first gives us:

9x = 27

Solving for x, we find:

x = 27 / 9 = 3

Now that we have the value for x, we can substitute it back into either of the original equations to find the value for y. Substituting into the first equation:

3 + y = 75 => y = 75 - 3 => y = 72

So the solution to the system is x = 3 and y = 72. This method remains effective even with the advent of computer algebra methods and Mathcad.

Good evening ,

Answer:

35+7x = 63

Step-by-step explanation:

35+7x = 63

then 7x = 63 - 35

then 7x = 28

then x = 28/7

then x = 4.

:)

Answer:

12

Step-by-step explanation:

The perimeter of an equilateral triangle is 12 unit.

Let us consider that, each side of equilateral triangle is a . Because in equilateral triangle each sides are equal in length.

Apply Pythagoras theorem,

            [tex](2\sqrt{3} )^{2}+(\frac{a}{2} )^{2}=a^{2} \\\\12+\frac{a^{2} }{4} =a^{2}\\\\a^{2}-\frac{a^{2} }{4} =12\\\\\frac{3}{4}a^{2}=12\\\\a^{2}=16\\\\a=4[/tex]

 The perimeter of an equilateral triangle = [tex]3*a[/tex]

                                                                  = [tex]3*4=12unit[/tex]

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