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KATRIN_1 [288]
2 years ago
13

14.75x - 2.3 = 5.25x + 45.2

Mathematics
2 answers:
Luda [366]2 years ago
7 0
Hope you did well :)
Cerrena [4.2K]2 years ago
3 0
14.75x - 23=5.25x+45.2
14.75x-23-5.25x=5.25x+45.2-5.25x
14.75-5.25x=9.5
9.5x-23=45.2
9.5x-23+23=45.2+23
9.5x=68.2
9.5x/9.5=68.2/9.5
x=7.178947
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Serena estimates that she can paint 60 square feet of wall space every half -hour .Write a equations for the relationship with t
lina2011 [118]

Answer: So, the relationship with i hours as the indecent variables would be y=120i

Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Step-by-step explanation:

Since we have given that

Area that she can paint = 60 square feet

Time taken = half hour = 30 minutes = 0.5 hours

Using "Unitary method, we get that

In 0.5 hours, she can paint = 60 square feet

In 1 hour, she can paint = \dfrac{60}{0.5}=120\ sq.\ feet

In i hours, she can paint = 120\times i\ sq.\ feet=120i\ sq.\ feet

Let the total area she can paint be 'y'.

So, the relationship with i hours as the indecent variables would be

y=120i

Now,  Can Serena paint 400 square feet of wall space i. 3.5 hours

We put y = 400 and i = 3.5 hours to check whether it is equal or not.

400= 120\times 3.5\\\\400\neq 420

Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

3 0
1 year ago
Use properties to rewrite the given equation. Which equations have the same solution as 2 3p-10.1 = 6.5p - 4 - 0.01p? Select two
SSSSS [86.1K]

2.3p - 10.1 = 6.5p - 4 - 0.01p

If we multiply this equation by 100 we have

230p - 1010 = 650p - 400 - p

So the right answer is this

7 0
2 years ago
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N triangle xyz, m∠z > m∠x m∠y. which must be true about △xyz?
liubo4ka [24]
The choices are the below that can be found elsewhere:

m∠X + m∠Z < 90° 

m∠Y > 90° 

∠X and∠Y are complementary 

m∠X + m∠Y < 90°


Since the given is m<Z > m<X +m<Y and <span>the sum of measure of angles of a triangle is equal 180 degrees so from this result that the last one choice need being true sure so m<X +m<Y < 90°</span>

4 0
2 years ago
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Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 10x2+4xâ1, 3xâ4x2+3, and
lord [1]

I suppose

H=\mathrm{span}\{10x^2+4x-1,3x-4x^2+3,5x^2+x-1\}

The vectors that span H form a basis for P_2 if they are (1) linearly independent and (2) any vector in P_2 can be expressed as a linear combination of those vectors (i.e. they span P_2).

  • Independence:

Compute the Wronskian determinant:

\begin{vmatrix}10x^2+4x-1&3x-4x^2+3&5x^2+x-1\\20x+4&3-8x&10x+1\\20&-8&10\end{vmatrix}=-6\neq0

The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of H is 3.

  • Span:

Write an arbitrary vector in P_2 as ax^2+bx+c. Then the given vectors span P_2 if there is always a choice of scalars k_1,k_2,k_3 such that

k_1(10x^2+4x-1)+k_2(3x-4x^2+3)+k_3(5x^2+x-1)=ax^2+bx+c

which is equivalent to the system

\begin{bmatrix}10&-4&5\\4&3&1\\-1&3&-1\end{bmatrix}\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}a\\b\\c\end{bmatrix}

The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives

\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}-\dfrac{6a-11b+19c}3\\\dfrac{3a-5b+2c}3\\\dfrac{15a-26b+46c}3\end{bmatrix}

so the vectors do span P_2.

The vectors comprising H form a basis for it because they are linearly independent.

4 0
2 years ago
What is the length of segment XY?
Brilliant_brown [7]

Answer:

StartRoot 53 EndRoot units

XY = √53

Step-by-step explanation:

Choose which is point 1 and point 2 so you don't confuse the coordinates.

Point 1 (–4, 0)    x₁ = –4   y₁ = 0

Point 2 (3, 2)      x₂ = 3    y₂ = 2

Use the formula for the distance between two points.

L = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}

XY = \sqrt{(3-(-4))^{2} + (2-0)^{2}}

XY = \sqrt{49 + 4}

XY = \sqrt{53}

Therefore the line of segment XY is √53.

6 0
2 years ago
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