1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PIT_PIT [208]
2 years ago
14

sammy is eleven less than five times Jaime's age. if the sum of their ages is 55, how old is each girl? please help me if i dont

get this done soon moms gonna be super mad
Mathematics
1 answer:
Hoochie [10]2 years ago
7 0

Answer:

Jaime = 11

Sammy = 44

Step-by-step explanation:

It is given that Sammy is eleven less than five times Jaime's age. Use parameter (S) to represent Sammy's age, and parameter (J) to represent Jaime's age. Form an equation based on this given information:

S = 5J - 11

It is given that the sum of the two girl's ages is (55), use an equation to represent this.

S + J = 55

Substitute in the expression for the value of (S) in terms of (J),

(5J - 11) + J = 55

Simplify,

6J - 11 = 55

Inverse operations,

6J - 11 = 55

6J = 66

J = 11

Backsolve for the value of (S), substitute in the value of (J) into the equation for (S) and solve,

S = 5(J) - 11

S = 5(11) -11

S = 55 - 11

S = 44

You might be interested in
Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)
Masja [62]

Answer:

The answer is

<h2>8.6 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,9) and (3,2)

The distance between them is

d =  \sqrt{( {8 - 3})^{2}  + ( {9 - 2})^{2} }  \\  =  \sqrt{ {5}^{2}  +  {7}^{2} }  \\  =  \sqrt{25 + 49}  \\  =  \sqrt{74}  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \\  = 8.60232...

We have the final answer as

<h3>8.6 units to the nearest tenth</h3>

Hope this helps you

4 0
3 years ago
Given that a­­^b = x, evaluate the following:<br><br><br>2a^3b +a^2b +a^b
8090 [49]

Answer:

  2x^3 + x^2 + x

Step-by-step explanation:

For ...

a^{b}=x

The expression ...

2a^{3b}+a^{2b}+a^{b}

can be rewritten as ...

2(a^{b})^3+(a^b)^2+(a^b)=2x^3+x^2+x

5 0
2 years ago
What is the image point of (-1,4) after a translation left 5 units and up 2 units
shepuryov [24]

Answer:

(-6,6)

Step-by-step explanation:

8 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
Read 2 more answers
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U 
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value. 

Therefore, Q3 = 62

Answer: 62</span>
4 0
3 years ago
Other questions:
  • Four coins are tossed. find the probability of tossing exactly three tails.
    7·1 answer
  • Let f(x)=4x^2+5.<br> The g(x) is f(x) translated up 4 units.<br><br> What is the equation of g(x)
    5·1 answer
  • What is the next term of the following sequence? <br><br><br> 20, 10, 5, 21/2, ...
    13·1 answer
  • How many kilometers in a meter
    5·2 answers
  • How to solve 5 x to the 4th power
    8·1 answer
  • I have to put 20 characters so here we are. Pls help tho.
    6·1 answer
  • Plz help asap!!!
    5·1 answer
  • Round 25395 nearest hundred​
    12·2 answers
  • Can someone please help me
    12·1 answer
  • Solve for x.<br> Enter the solutions from least to greatest.<br> 2x^2– 5 = 13
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!