If you add​ Natalie's age and​ Fred's age, the result is 41. If you add​ Fred's age to 3 times​ Natalie's age, the result is 71. Write and solve a system of equations to find how old Fred and Natalie are.

Answer:

d.) x2+16x+64=36

Step-by-step explanation:

To find - Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?

a.) x2+81x+18=54

b.) x2−8x+24=17

c.) x2+9x−24=25

d.) x2+16x+64=36

Proof -

The correct answer is - d.) x2+16x+64=36

x2+16x+64=36

⇒x² + 8x + 8x + 64 = 36

⇒x(x + 8) + 8(x + 8) = 36

⇒(x+8)(x+8) = 36

⇒(x+8)² = 36

Take square root both sides, we get

√(x+8)² = √36

⇒x + 8 = ± 6

⇒x + 8 = 6, x + 8 = -6

⇒x = 6 - 8 , x = -6 - 8

⇒x = -2, -14

So,

Equation (4) allows her to do the following thing she ants.

Answer:

Step-by-step explanation:

Answer:

12.3456790123

Step-by-step explanation:

its hard to explain but you could always use a clculator and no I did not use one. But these are hard I'm a math major

       1 2 . 3 4 5 6 7 9

1 2 9 6 | 1 6 0 0 0 .      

1 2 9 6        

3 0 4 0 .      

2 5 9 2 .      

4 4 8 . 0    

3 8 8 . 8    

5 9 . 2 0    

5 1 . 8 4    

7 . 3 6 0  

6 . 4 8 0  

8 8 0 0  

7 7 7 6  

1 0 2 4 0

9 0 7 2

1 1 6 8 0

1 1 6 6 4

1 6

Answer:

x=-15/2 and y=7

Step-by-step explanation:

y=-4x-23

y=-2x-8

Two methods, substitution and elimination. Elimination is the easiest, so you can subtract the equations.

y=-4x-23

-(y=-2x-8)

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

y=-4x-23

-y=2x+8

------------ so solve :)

0=-2x-15

becomes 2x=-15

so x=-15/2

------------------------ plug in x to solve for y

and you get y=7

Answer:

x>3/4

Step-by-step explanation:

Answer: 20% does chores but don't get allowance (me)

Step-by-step explanation: 5 is 20% of 25.

Answer:

20%

Step-by-step explanation:

5 is 20% of 25

Answer:

[tex]A=172.04\ in^2[/tex]

Step-by-step explanation:

Given that,

The side length of a regular pentagon = 10 inches

The distance from the center to a vertex of 10 inches

The formula for the area of a regular pentagon is given by :

[tex]A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5} } }\ a^2[/tex]

Put a = 10

So,

[tex]A=\dfrac{1}{4}\times \sqrt{5(5+2\sqrt{5} )} \times 10^2\\\\A=172.04\ in^2[/tex]

So, the area of a regular pentagon is equal to [tex]172.04\ in^2[/tex].

Answer:

d) 2 tons plus 1,200 pounds.

Step-by-step explanation:

1 ton = 2000

2000 + 2000 = 4000

5200 - 4000

= 1200

hence, the answer is 2 tons plus 1,200 pounds.

hope this helps and is right :)

240is the answer for the question 16

Answer:

bLs topper ski. ioej o be r

The true statements are C and D.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability = Number of desired outcomes / Total number of outcomes.

Total number of outcomes = 6 × 3 = 18

A) Number of times rolling a 3 on the number cube and the spinner landing on blue = 1

Corresponding probability = 1/18

B) Probability of Jamie rolling a 2 or 3 on the number cube and the spinner landing on green = 2/18 = 1/9

C) Probability of Jamie rolling an even number on the number cube and the spinner landing on blue = 3/18 = 1/6

D) Probability of Jamie rolling a 1 on the number cube and the spinner landing on blue or green = 2/18 = 1/9

E) Probability of Jamie rolling a 5 on the number cube and the spinner landing on red = 1/18

Hence the true statements are C and D.

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The complete question is as given below.

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] \frac{1}{16} [/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex]( \frac{1}{2}) {}^{4} \\ = \frac{1 {}^{4} }{2 {}^{4} } \\ = \frac{1}{2 {}^{4 } } \\ = \frac{1}{16} [/tex]

Answer:a)m =K n

b)m = 32

c)n=15

Step-by-step explanation:

M varies directly as n can be expressed mathematically as

m ∝ n

Introducing the constant of proportionality, K, we have that

m =K n

Now when m=14 and n=7, K becomes

14=K X 7

K=14/7 = 2

b) find m when n=16

m =K n

m = 2 x 16=32

c) find n when m=30

m =K n

30=2 x n

n=30/2 =15

Expression is formed using numbers, variables, and mathematical operations. The value of m, when the value of n is 16 is 32.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As we know that the value of m is directly varying with n, therefore, we can write the relationship as,

[tex]m \propto n[/tex]

Now, in order to remove the proportionality, we will add a constant,

[tex]m = kn[/tex]

As the value of m and n is given as 14 and 7, substitute the values in order to get the value of the constant k,

[tex]m = kn\\14 = k(7)\\\dfrac{14}{7} = k\\k=2[/tex]

We know the value of the constant k is 2, therefore, the equation can be written as,

[tex]m=2n[/tex]

Substitute the value of n as 16, to get the value of m,

[tex]m=2n\\m=2(16)\\m=32[/tex]

Hence, the value of m, when the value of n is 16 is 32.

Learn more about Expression:

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Answer:

Step-by-step explanation:

P(A/B)=(P(A∩ B))/P(B)=(1/5)/(5/8)=8/25=0.32

Answer:

$0.18

Step-by-step explanation:

setup proportion and solve for x:

[tex]\frac{12}{2.15} =\frac{1}{x} \\12x = 2.15\\x=0.17916 = 0.18[/tex]

Answer:

-27

5

10

-13

Step-by-step explanation:

-9*3=-27   -*+=-

-25/-5=5   -/-=+

7-(-3)=7+3=10  -(-)=+

-2+-11=-13   -+-=-

Answer:

the yellow one? not sure tho

Step-by-step explanation:

Answer:

the last one (pentagon)

Step-by-step explanation:

the triangle already has 3 vertices and 3 sides and if she wants to have 8 vertices and 8 sides in total, the second shape would have 5 vertices and 5 sides. therefore, it's the pentagon

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

Answer:

40/10

Step-by-step explanation:

Answer:

1 1/2 (1 + 1/2)

Step-by-step explanation:

3 2/3 * 3/4 is 2 3/4. 2 3/4 divided by 1 5/6 is 1 1/2.

Answer:

Supplementary and Complementary

Answer: C. They are similar by the SSS rule

Step-by-step explanation:

There are three ways to prove triangle similar

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

Here, we see in the figures, the side lengths are given, and there are no angles. So, supposedly, we are going to use SSS similar theorem.

Solve

MN corresponds to UV

ML corresponds to UT

LN corresponds to TV

MN/UV=24/8=3

ML/UT=33/11=3

LN/TV=42/14=3

∴MN/UV=ML/UT=LN/TV

∴They are similar

Hope this helps!! :)

Please let me know if you have any questions

Answer:12

Step-by-step explanation:

Answer:

[tex] \underline{ \underline{ \large{ \pink{ \tt{E \: X \: P \: L \: A \: N \: A \: T \: I \: O \: N}}} }}: [/tex]

✧ We know , Reflection of a point on x - axis remains the x - co-ordinate same but the sign of y - coordinate changes i.e P ( x , y ) ⇢ P' ( x , - y ). So, the image of the point ( 8 , 10 ) under the reflection on x - axis is :

A ( 8 , 10 ) ⇢A' ( 8 , -10 )

☄ Hope I helped! ♡

☃ Have a wonderful day/ night ! ♨

[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

now

we have

P(x,y)⇢reflection under x axis⇢P'(x,-y)

P(8,10)⇢reflection under x axis⇢P'(8,-10)

for point (8,10) image is:(8,-10).

Answer:

13 Reminder: 6

Hope this helps!

Answer:

13.857142

Step-by-step explanation:

if you continue from there you will see that you are just repeating yourself from where I wrote 60 then I went to 56 I'll just be repeating myself so I didn't continue I think it ends there.

Answer:

I think it would be ( 1, -6 )

Step-by-step explanation:

Hope this helps :)

Answer:

-8

Step-by-step explanation:

-7+-3+4+1+-2+-8+7=-8divided by7=-1

Step-by-step explanation:

Post a question please...

Answer:

Sure what is it?

Step-by-step explanation:

Answer:

B.    4.5 mi.

Step-by-step explanation:

Let g = length of green route

     b = length of blue route

(1)    6g + 5b = 52            (2)      12g + 13b = 119

Mult. (1) by -2                             -12g - 10b = -104

                                                             3b = 15

                                                                b = 5

       6g + 5(5) = 52

         6g + 25 = 52

         6g = 27

           g = 27/6 = 9/2

The length of the Green route is 4.5m and the length of the Blue route is 5m and this can be determined by forming the linear equation.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.

On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.

Let the length of the Green route be 'a' and the length of the Blue route be 'b' then on Monday bus traveled:

6a + 5b = 52   ---- (1)

On Tuesday the bus traveled:

12a + 13b = 119  ----- (2)

Now, solve the equation (1) for 'a'.

a = (52 - 5b) /6     ------ (3)

Now, put the value of 'a' in equation (2).

12 (52 - 5b) / 6 + 13b = 119

b = 5 m

Now, put the value of b in equation (1).

6a + 5b = 52  

a = 4.5 m

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9514 1404 393

Answer:

  (2)  485

Step-by-step explanation:

Computing the values modulo 360 will show which is equal to 125. It is 485:

  mod(485, 360) = 125

Angle 485° is coterminal with 125°.

Answer:

1

Step-by-step explanation: