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Sav [38]
3 years ago
15

Huan's wage increases by 10%. His original wage is £10.40 per hour. What is his new hourly wage?

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

(pound sign) 11.44

Step-by-step explanation:

You might be interested in
Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
3 years ago
PLEASE SHOW YOUR WORK!!!<br><br><br><br><br><br> Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Marina86 [1]
<h2 /><h2>⟹</h2>

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3^3+14*y-(25*y-13)-(y+7*y-9*y)=0

Equation at the end of step 1

((3³ + 14y) - (25y - 13)) - -y = 0

Pull out like factors :

40 - 10y = -10 • (y - 4)

Equation at the end of step3:

-10 • (y - 4) = 0

STEP4:

Equations which are never true:

Solve : -10 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

Solve : y-4 = 0

Add 4 to both sides of the equation :

y = 4

<h2>y = 4</h2>

6 0
3 years ago
Mary has 5370 $,she spent 2030$,what fraction of money did she spend
Artyom0805 [142]
A fraction is the same as dividing something.

2030/5370

You can simplify by dividing (by 10)

203/537 is the fraction. Hope this helps, please mark as brainliest answer if it did! :)
5 0
3 years ago
Read 2 more answers
Is the ans i got correct?<br>the total surface area is 33.8cm² <br>​
ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

A_1=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length.

Putting a=2, we get

A_1=\dfrac{\sqrt{3}}{4}(2)^2

A_1=\dfrac{\sqrt{3}}{4}(4)

A_1=\sqrt{3}

A_1\approx \sqrt{3}

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

LA=Ph

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

A_2=(2+2+2)5

A_2=(6)5

A_2=30

Now, the total surface area is the sum of areas of bases and lateral surface area.

A=2A_1+A_2

A=2(1.73)+30

A=3.46+30

A=33.46

Therefore, the total surface area is 33.46 cm².

8 0
3 years ago
Math help please =)
a_sh-v [17]
2x - 3 < 11 or 8x -10 < 82:  <span>X < 23/2
<span>
Part 1</span>
</span>2x-3<11
Add 3 both sides
2x-3+3<11+3
Refine
2x<14
Divide by 2 on both sides
2x / 2    /   14 / 2
Refine
x < 7
<span>
Part 2</span>
8x-10<82
Add 10 to both sides
8x-10+10<82+10
Refine
8x<92
Divide by 8
8x / 8   /   92 / 8
Refine
x < 23 / 2
7 0
3 years ago
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