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3 years ago

13) (3,1) and (0,-4)

Mathematics

2 answers:

Sonja [21]3 years ago

5 0

What exactly is the question?

melamori03 [73]3 years ago

4 0

Could you elaborate on the question?

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Eli has saved $8 more than 1/3 of Angela's savings.If they each save $10 more Eli will have saved &4 more than Angela's savi

statuscvo [17]

Answer:

Eli has saved $10

Step-by-step explanation:

Let us use the first letters of their names to represent them.

A for Angela and E for ELi

So, from the first statement, we can write out an equation: E = $\frac{1}{3}$ A + 8, that is, one-third of Angela's savings + $8 will give us Eli's savings

From the second statement, we can write out: E + 10 = (A + 10) + 4 which means that if $10 is added to both their savings, Eli will still have $4 more than Angela.

So, we can solve both equations;

Equation 1: E = $\frac{1}{3}$ A + 8

Equation 2: E + 10 = (A + 10) + 4; which can be rewritten as E + 10 = A + 14

and then E = A + 4

The two equations (in bold), can then be solved simultaneously.

Let us carry out this operation to eliminate the E: Subtract equation 1 from equation 2, so that;

A + 4 - ( $\frac{1}{3}$ A + 8) = E - E

$\frac{2}{3}$ A - 4 = 0

$\frac{2}{3}$ A = 4

A = 4 × $\frac{3}{2}$ = 6

So, if A is 6, and E = A + 4 (from equation 2, that means that E = 6 + 4 = 10

So, Eli has saved $10, while Angela has saved $6.

If we check what was said in the question about their savings, which is what we have represented using the equations, the answers can be confirmed.

3 0

3 years ago

Read 2 more answers

155% of what number is 43.4?

Fed [463]

67.27

155 = 1.55 x 43.4 = 67.27

7 0

3 years ago

Read 2 more answers

If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the sq

Karo-lina-s [1.5K]

Answer:

the transistors have L=1 mm of linear size

Step-by-step explanation:

For the silicon chip the area is A=1 cm² and for the transistors the area is At=L² (L=linear size) . Then since N= 10 billion transistors of area At should fit in the area A

A=N*At

A=N*L²

solving for L

L= √(A/N)

Assuming that 1 billion=10⁹ (short scale version of billion), then

L= √(A/N) = √(1 cm²/10⁹) = 1 cm / 10³ = 1 mm

then the transistors have L=1 mm of linear size

4 0

3 years ago

What is the approximate area of the circle shown?

Amanda [17]

Answer:

907.46

Step-by-step explanation:

We know the area of a circle is:

$\pi r^{2} \\\pi (34/2)^{2}\\17^{2} \pi \\907.46$

5 0

3 years ago

Use point-slope form to write the equation of a line that passes through the point

Ymorist [56]

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

5 0

2 years ago