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Genrish500 [490]
3 years ago
13

5. Lauren is saving for gymnastics camp, Camp costs $225 to attend. She has 40 percent of the money saved. How much money has sh

e saved?
Mathematics
1 answer:
barxatty [35]3 years ago
3 0
To solve this problem you have to convert the percentage to a decimal which would
be .40.

40% =40/100=.40


After doing so all you need to do is divide the amount needed by the percentage which gives you the amount she has saved.

225/.40= $90

Lauren has $90 saved
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What is the solution of the system of equations?
Elis [28]

Answer:

The answer to your question is:

x = 4

y = -1

z = -3

Step-by-step explanation:

                                  3 x + 2 y + z = 7

                                  5 x + 5 y + 4 z = 3

                                  3 x + 2 y + 3 z = 1

\left[\begin{array}{ccc}3&2&1\\5&5&4\\3&2&3\end{array}\right]

= 45 + 10 + 24 - (30 + 24 + 15)

= 79 - 69

Δ = 10

\left[\begin{array}{ccc}7&2&1\\3&5&4\\1&2&3\end{array}\right]

= 105 + 6 + 8 - (18 + 56 + 5)

= 119 - 79

Δx = 40

\left[\begin{array}{ccc}3&7&1\\5&3&4\\3&1&3\end{array}\right]

= 27 + 5 + 84 - ( 105 + 12 + 9)

= 116 - 126

Δy = -10

\left[\begin{array}{ccc}3&2&7\\5&5&3\\3&2&1\end{array}\right]

= 15 + 70 + 18 - (10 + 18 + 105)

= 103 - 133

= -30

Δz = -30

x = Δx /Δ = 40/10 = 4

y = Δy/Δ = -10/10 = -1

z = Δz/Δ = -30/10 = -3

8 0
3 years ago
Read 2 more answers
Lisa typed a 165-word paragraph in three minutes. Use the ratio table to
JulsSmile [24]

Answer:

1 minute

Step-by-step explanation:

We can see that Lisa types 165 words in 3 mins.

So she types 55 words in 1 minute.

How did I work that out?

Well, all you really do is \frac {165}{3} which is equal to \frac{55}{1} if you divide top and bottom by 3. Anything divided by 1 is itself.

8 0
2 years ago
The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,
shusha [124]

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

m=\frac{100}{0.01}=10000

Now, calculating the coefficient b (y-intercept), we have:

\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}

So the equation is:

y=10000x

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0
1 year ago
Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP
Svetach [21]
The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is 
(1,3) or
\vec{QP} = \hat{i} + 3\hat{j}

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:
\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)
The magnitude is √(10).

8 0
3 years ago
If a line is 10 feet long but needs to be reduced to 80% of its original, how long will the new line be?
motikmotik

Answer:

8 feet

Step-by-step explanation:

6 0
3 years ago
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