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Taya2010 [7]
2 years ago
9

Solve the system of equations using substitution or elimination by addition.

Mathematics
2 answers:
Anvisha [2.4K]2 years ago
8 0

Answer: A. The unique solution to the system is (0.1,0.4)

Step-by-step explanation:

 You can follow these steps to solve the system of equation by the Elimination Method:

- Multiply the first equation by -0.7, then add both equations and solve for "y":

\left \{ {-0.7(x + y) =-0.7(0.5)} \atop {0.7x + 0.6y = 0.31}} \right.\\\\\left \{ {-0.7x-0.7y =-0.35} \atop {0.7x + 0.6y = 0.31}} \right.\\............................\\-0.1y=-0.04\\\\y=0.4

- Substitute the value of "y" into any original equation to find the value of "x". Then:

x + (0.4) = 0.5\\\\x=0.5-0.4\\\\x=0.1

 Therefore, the unique solution to the system is (0.1,0.4)

irakobra [83]2 years ago
4 0

Answer:

a. (0.1,0.4)

Step-by-step explanation:

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Leni [432]

Answer:

probability is 0.67

Step-by-step explanation:

We know that Angle in a circle = 360°

Area of total shaded parts = 60 + 60 = 120°

Area of total unshaded parts = 360-120 = 240°

Probability that a random selected point within the circle falls in the unshaded area

= 240/360

= 2/3= 0.67

4 0
2 years ago
Find the product. (y^3)^2 y^7
JulsSmile [24]
Power rule

y^3(2)
y^6y^7

product rule, add them

y^13

8 0
3 years ago
Read 2 more answers
Brendan's original plan was to visit stuttgart, dresden, weisbaden, and berlin. however, he would like to keep his costs under €
Bond [772]

Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.

<h3>What exactly is a budget?</h3>

A budget is basically a financial forecast of revenue and spending for a given period.

The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.

Learn more about budget on:

brainly.com/question/6663636

#SPJ4

6 0
2 years ago
A circles has radius 10 centimeters. Suppose an arc on the circle has length 8<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFo
goldfiish [28.3K]

Answer:

The measure of the central angle whose radii define the arc is \mathbf{\frac{4\pi }{5} }

Step-by-step explanation:

Radius of circle = 10 cm

Length of arc = 8\pi

We need to find Theta \theta

The formula used will be: S=r \theta

S= length of arc, r = radius and \theta = angle

Putting values and finding \theta

S=r \theta\\8\pi =10 \theta\\\theta=\frac{8\pi }{10} \\\theta=\frac{4\pi }{5}

So, the measure of the central angle whose radii define the arc is \mathbf{\frac{4\pi }{5} }

4 0
3 years ago
Researchers collected a simple random sample of the times that 81 college students required to earn their bachelor’s degrees. Th
damaskus [11]

Answer:

0.4459

Step-by-step explanation:

Let the random age variable, X = 4.5; mean,∪ = 4.8; standard deviation, α = 2.2

By comparing P ( 0≤ Z ≤ 4,8)

P(Z ≤ X - ∪/α) = P(Z ≤ 4.5 - 4.8/2.2) = P(Z ≤ - 0.136)

Using the table: P(0≤ Z ≤ 1) = 0.0541

P(Z > 1) = (0.5 - 0.0541) = 0.4459

∴ P(Z > 4.5) = 0.4459

3 0
2 years ago
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