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emmasim [6.3K]
2 years ago
12

The area of a rectangle, A = 1•w is represented by the expression 24xBy15. Which could be the dimensions of the

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
3 0

Answer:

The length and width of the rectangle are: \mathbf{2x^5y^8\:and\: 12xy^7}

Option A is correct.

Step-by-step explanation:

We are given: Area\:of\:rectangle=Length\times Width

if Area = 24x^6y^{15}we need to find the length and width of rectangle from options given.

Looking at the options, Option B,C and D are incorrect because multiplying the given lengths and widths, the area is not equal to 24x^6y^{15}

Only Option A gives us the result i,e

Area=2x^5y^8\times 12xy^7\\Area=24x^6y^{15}

So, the length and width of the rectangle are: \mathbf{2x^5y^8\:and\: 12xy^7}

Option A is correct.

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Suppose vanilla beans cost $600 per kilogram. Julie bought 9 grams of vanilla beans. Jacques bought 70 grams of vanilla beans.
GenaCL600 [577]
The Correct option is 36.60
Step-by-step explanation:
The key to solving this question lies
around measurement
conversion,specifically converting
grams into its equivalence in
kilograms.
1000 grams equal one kilogram
9 grams=9/1000 kg
9 grams=0.009 kg
70 grams=70/1000 kg 1000 grams equal one kilogram
9 grams=9/1000 kg
9 grams=0.009 kg
70 grams=70/1000 kg
70 grams=0.07 kg
Julie pays=$600*0.009=$5.4
Jacques pays=$600*0.07=$42
Jacques pays $36.60 more ($42-
$5.4) than Julie paid
Option is wrong because that was Jacques pays=$600*0.07=$42
Jacques pays $36.60 more ($42-
$5.4) than Julie paid
Option is wrong because that was
what Julie paid
Option D is wrong because that was
what Jacques paid
Option B is obviously wrong
4 0
2 years ago
A total of 500 married working couples were polled about their annual salaries, with the following information resulting: Husban
Dimas [21]

Answer:

36/500

Step-by-step explanation:

7 0
3 years ago
A 132-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
pav-90 [236]
132=3x+x
132=4x
x=33
The length of the shorter piece is 33 inches
7 0
2 years ago
Find the cross product of <img src="https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7Dv" id="TexFormula1" title="- \frac{3}{4}v"
dsp73
For any scalars c_1,c_2, we have

c_1\mathbf v\times c_2\mathbf w=c_1c_2\mathbf v\times\mathbf w

So

\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\mathbf v\times\mathbf w

We have

\mathbf v\times\mathbf w=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\-2&12&-3\\-7&4&-6\end{vmatrix}
=\begin{vmatrix}12&-3\\4&-6\end{vmatrix}\mathbf i-\begin{vmatrix}-2&-3\\-7&-6\end{vmatrix}\mathbf j+\begin{vmatrix}-2&12\\-7&4\end{vmatrix}\mathbf k
=-60\,\mathbf i-(-9)\,\mathbf j+76\,\mathbf k
=\begin{bmatrix}-60\\9\\76\end{bmatrix}

which makes

\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\begin{bmatrix}-60\\9\\76\end{bmatrix}=\begin{bmatrix}-\frac{45}2\\\\\frac{27}8\\\\\frac{57}2\end{bmatrix}
4 0
3 years ago
Need the help thanks guys
Diano4ka-milaya [45]

Answer:

x=−5+√29 or x=−5−√29

Step

Let's solve your equation step-by-step.

x2+10x+10=14

Step 1: Subtract 14 from both sides.

x2+10x+10−14=14−14

x2+10x−4=0

For this equation: a=1, b=10, c=-4

1x2+10x+−4=0

Step 2: Use quadratic formula with a=1, b=10, c=-4.

x=

−b±√b2−4ac

2a

x=

−(10)±√(10)2−4(1)(−4)

2(1)

x=

−10±√116

2

x=−5+√29 or x=−5−√29

7 0
3 years ago
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