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3 years ago

A cyclist travels from Ato B in two stages. Stage one is 28kmwhich is 2/7 of the total journey . How long is stage 2

Mathematics

1 answer:

Sladkaya [172]3 years ago

6 0

Stage B would be 70km since 5/7 is stage B and 5 x 14 = 70

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Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?

Step2247 [10]

Answer:

$X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$

Step-by-step explanation:

A matrix is given by

$A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]$

Now, we have to find the matrix X if $\frac{1}{2} X = A$

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, $X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]$

⇒ $X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$ (Answer)

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3 years ago

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A dealer sold 200 tennis racquets. Some were sold for $33 each, and the rest were sold on sale for $18. The total receipts form

Mumz [18]

120 tennis racquets were sold for $ 18 each

Solution:

Let x = number that sell for $18 each

Then, 200 - x = number that sell for $33 each

The total receipts form these sales were 4800 dollars

Thus we frame a equation as:

number that sell for $18 each x 18 + number that sell for $33 each x 33 = 4800

$x \times 18 + (200-x) \times 33 = 4800\\\\Solve\ the\ above\ equation\ for\ x\\\\18x + 6600 - 33x = 4800\\\\Move\ the\ variables\ to\ one\ side\\\\18x-33x = 4800-6600\\\\-15x = -1800\\\\Divide\ both\ sides\ of\ equation\ by\ -15\\\\x = 120$

Thus 120 tennis racquets were sold for $ 18 each

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3 years ago

Angle 1 and Angle 2 are supplementary. If m∠1=27° , what is m∠2 ?

nekit [7.7K]

Suppose m∠1 = x degree

m∠2 = 17 x degree

As angle 1 & 2 are supplementary angles so

m∠1 +m∠2 =180 degree...... eq 1
Substituting the values of angle 1 & 2 in eq 1, we get

x +17x =180
18x=180
x= 180/18 =10 degree
17 x= 170 degree
m∠1 = 10 degree m∠2 = 170 degree.

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3 years ago

Which board geometrically represents 4x2 – 1 using algebra tiles? An algebra tile configuration showing only the product spot, w

Lady bird [3.3K]

Answer: it’s the second one

Step-by-step explanation:

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3 years ago

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Write the recurring decimal 0.1 as a fraction in its simplest form

IrinaVladis [17]

The answer is going to be 1/9