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3 years ago

Solve the simultaneous equations 2x+4y=1 3x-5y=7

Mathematics

1 answer:

KonstantinChe [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Step 1: Add -4y to both sides.

2x+4y+−4y=1+−4y

2x=−4y+1

Step 2: Divide both sides by 2.

−4y+1

x=−2y+

Step 1: Add 5y to both sides.

3x−5y+5y=7+5y

3x=5y+7

Step 2: Divide both sides by 3.

5y+7

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An art club sells 42 large candles and 56 small candles.

Blizzard [7]

Answer:

378$

Step-by-step explanation:

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3 years ago

84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

4 0

3 years ago

The scale drawing of a concrete pad has a length of 9.1 cm, a depth of 2.2 cm and a width of 3.8 cm.

pogonyaev

Answer:

242 cm

Step-by-step explanation:

1. Find the scale factor

A scale factor (SF) is the ratio of two corresponding lengths in similar figures.

SF = actual distance/scale distance

If the scale width is 3.8 cm,

SF = 418 cm/3.8 cm = 110

2. Calculate the actual depth

110 = actual depth/2.2 cm

Actual depth = 110 × 2.2 cm = 242 cm

8 0

3 years ago

Read 2 more answers

Please please please help me show your work (10 points!!)

Shkiper50 [21]

Answer:

C or 8

Step-by-step explanation:

Once again, first you ant to simplify the equation before putting in the numbers. So the simplified equation is mh + mp -p/h +m. Then you put the numbers in. mh is actually 3(-1), which is -3. mp is really 3*4, which is 12. p/h is 4/-1, which is -4, and then you add m. So when you put the numbers is it ends up as -3 + 12 - 4 +3, which simplified is 8, or C

8 0

3 years ago

Read 2 more answers

Pls help me with this question

Sedbober [7]

7/12, 3/4, 4/7, 5/8, 4/7

Answer:

Order from Least to Greatest

4/7 = 4/7 < 7/12 < 5/8 < 3/4

Showing Work

Rewriting as fractions if necessary:

7/12, 3/4, 4/7, 5/8, 4/7

The least common denominator (LCD) is: 168.

Rewriting as equivalent fractions with the LCD:

98/168, 126/168, 96/168, 105/168, 96/168

Ordering these fractions by the numerator in order from least to greatest:

96/168 = 96/168 < 98/168 < 105/168 < 126/168

Therefore, your input in order from least to greatest is:

Answer =======> 4/7 = 4/7 < 7/12 < 5/8 < 3/4

B): 1.35, 5/4, 1.349, 6/5, 7/6

Number of inputs ====> 5

Answer => Ascending Order: Least to Greatest =====> 7/6, 6/5, 5/4, 1.349, 1.35

C): 0.819, 0.8199, 81/100, 815/1000

Number of Inputs ======> 4

Answer ==> Ascending order (Least to Greatest ====> 81/100, 815/1000, 0.819, 0.8199

D): 3 4/7, 245/70, 3.572, 90/29

Number of Inputs: 4

Answer ==> Ascending Order(Least to Greatest) ==> 90/29, 245/70, 3.572, 3 4/7

Hope that helps!!!! : )

3 0

3 years ago

Read 2 more answers