1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NNADVOKAT [17]
3 years ago
7

What is the solution to the system of equations? y=2/3x+3 x=-2 

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0
We are going to solve for x=-2, y=2/3x+3, y=2/3(-2)+3, y=5/3. Therefore, x=-2 and y=5/3
Vaselesa [24]3 years ago
4 0

Answer:

x=-2,y=\frac{5}{3}

Step-by-step explanation:

The given system of equations is

y=\frac{2}{3}x+3...(i)\\\\x=-2...(ii)

Plugging the value of x from (ii) in equation (i) and find the value of y

y=\frac{2}{3}\times(-2)+3\\\\y=\frac{-4}{3}+3\\\\y=\frac{5}{3}

Therefore, the solution of the system of equations is

x=-2,y=\frac{5}{3}

You might be interested in
a trapezoid with an area of 166.75 in has bases that measure 21in and 8 in find the height of the trapezoid
alisha [4.7K]

Answer:

height = 11.5 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the bases

here a = 21, b = 8 and A = 166.75, hence

\frac{1}{2} h(21 + 8) = 166.75

Multiply both sides by 2 to eliminate the fraction

29h = 333.5 ( divide both sides by 29 )

h = 11.5 in

6 0
3 years ago
PLEASE HELP AND SHOW WORK!!
aivan3 [116]
> multiply the second equation by 2 and add it to the first equation.
2(-6x - 7y = -10)
-12x -14y = -20

8x + 14y = 4
-12x - 14y = -20
--------------------
- 4x + 0 = - 16
x = -16/-4
x = 4

> use x = 4 in either equation to find y
8(4) + 14y = 4
32 + 14y = 4
14y = 4 - 32
14y = -28
y = -28/14
y = -2


5 0
3 years ago
Read 2 more answers
The object on the right is made from a square-based pyramid joined to a cuboid.
spayn [35]

Answer:

Density of steel = 80.73 gm/cm^3

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

V_{Cuboid} = l \times w \times h

V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3

Density of Wood , D_{Cuboid}= 0.68g/cm^3

We know that formula of Density is:

Density = \dfrac{Weight}{Volume}

D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}

Putting the values:

W_{Cuboid} = 324 \times 0.68 = 220.32\ gm

Total weight = W_{Cuboid} + W_{Pyramid}

970 = 220.32 + W_{Pyramid}

W_{Pyramid} = 749.68 gm

Volume of pyramid is given as:

V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}

Base is a square with side 6 cm

V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3

Density of Steel/Pyramid:

D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3

5 0
3 years ago
Question 3
Crank

Step-by-step explanation:

Given that,

The mass of a patient = 70 kg

A 70kg patient has approximately 8 pints of blood.

The patient donates 470mL of blood.

We know that,

1 pint = 568 mL

8 pints = 4544 mL

Required fraction,

\dfrac{470}{4544}=0.1\\\\=\dfrac{1}{10}

So, the required fraction is approximately \dfrac{1}{10}.

4 0
3 years ago
Dana and her 4 friends are going on a camping trip. Dana wants to see how much fruit she can share so everyone will get the same
kupik [55]
I agree that the answer is 6. 30÷5=6
6 0
3 years ago
Other questions:
  • Can you help me solve this 2/3 (5 x 4) ÷ 3 + 6/7 =
    5·2 answers
  • Which number is located to the right of -1 2/3 on the horizontal number line?
    7·1 answer
  • Can someone please help me on "Equation practice with angle addition"??​
    13·1 answer
  • (4.5 x 104) = (300) = 0
    8·1 answer
  • Help me please :)))))
    7·1 answer
  • Drag each expression to the phrase it best translates.
    8·1 answer
  • -3(u+2)=5u-1+5(2u+1)
    6·2 answers
  • Given y=4x and the domain of (-3,-2,-1,0,1,2) determine the range
    13·1 answer
  • Write an equation for the description.
    9·1 answer
  • F(x) = 3x³+4x² - 8x - 2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!