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
inysia [295]
3 years ago
7

Solve the simultaneous equations 7x+5y=32

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0
3(7x+5y=32) and -7(3x+4y=23)
To make 21x+15=96 and -21x-28y=-161
Then add them to be -13y=-65
So y=-5
The substitute y
3x-20=23
3x=3
So x=1
You might be interested in
the length of a rectangle is 8cm more than the width and its area is 172cm2 .find the width of the rectabgle
nikdorinn [45]
l-the\ length\\l+8-the\ width\\A=172\ cm^2\\\\A=lengtf\cdot width\\\\subtitute\\\\l(l+8)=172\\\\l^2+8l=172\ \ \ |subtract\ 172\ from\ both\ sides\\\\l^2+8l-172=0\\a=1;\ b=8;\ c=-172\\\\\Delta=b^2-4ac\\\\\Delta=8^2-4\cdot1\cdot(-172)=64+688=752 > 0\\\\l_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ l_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{752}=\sqrt{16\cdot47}=4\sqrt{47}\\\\l_1=\dfrac{-8-4\sqrt{47}}{2\cdot1}=-4-2\sqrt{47} < 0\\\\l_2=\dfrac{-8+4\sqrt{47}}{2\cdot1}=-4+2\sqrt{47} > 0\\\\The\ width:l+8=-4+2\sqrt{47}+8=4+2\sqrt{47}\\\\Answer:\boxed{length=(2\sqrt{47}-4)cm;\ width=(4+2\sqrt{47})cm}
length\approx9.71cm;\ width\approx17.71cm
4 0
3 years ago
I need help with this!!
tresset_1 [31]

Answer:

you would use 85 to find angle 4, because they would add up to 180, so you would subract 85 from 180 to get angle 4

Step-by-step explanation:

5 0
3 years ago
What is 43.043 in expanded form
nordsb [41]
40+3+.04+.003 

expanded form is showing what you have to add together


3 0
4 years ago
A company donates 2,292 gifts to a school. the gifts are diveded evenly among 19 classrooms. The rest of the gifts are given to
BARSIC [14]

Answer:

<em>Each classroom received 120 gifts and the hospital received 12 gifts</em>

Step-by-step explanation:

<u>Division As Evenly Distribution</u>

The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.

If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.

But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.

If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder

We want to divide 2,292 gifts to the school, where there are 19 classrooms. If we divide 2,292/19 we get 120 and a remainder of 12.

Answer. Each classroom received 120 gifts and the hospital received 12 gifts

6 0
4 years ago
The number of students in a geometry class is four
stira [4]

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

6 0
3 years ago
Other questions:
  • Three times the difference of a number and seven is negative three. Fi<br> nd the number.
    8·1 answer
  • Form a sequence that has two arithmetic means between -1 and 59.
    15·2 answers
  • 12 plus the product of 2 and some number is equal to the product of 4 and some number minus 8 .
    9·2 answers
  • When a production process is operating correctly, thenumber of units produced per hour has a normal distri- bution with a mean o
    12·1 answer
  • (WILL MARK BRAINLIEST AND THANK YOU!!)
    12·1 answer
  • Describe how the equation y=(x-2)^2+5 transforms the graph of a basic parabola y=x^2
    11·2 answers
  • PLS HELP FAST
    6·1 answer
  • A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they
    7·1 answer
  • If (x) - **4, g(x) = x= 2, and h(x) = 4x+1, what is (f• Hºg)(x)?
    5·2 answers
  • A group of 8 friends go to the movies. A bag of costs $2.99 how much will it cost to get one bag of popcorn for each friend
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!