There is a pair of x and y values that make each equation true in this system of equations
{5x + 3y = 8
{4x + 7y = 34
Explain why the same pair of values also make 9x + 10y = 42 true.
Answers
Given Equations
5x+3y=8--(1)4x+7y=34--(2)Let it has solution (x,y)
Add both
[tex]\\ \sf\longmapsto 5x+4x+3y+7y=8+34[/tex]
[tex]\\ \sf\longmapsto 9x+10y=42[/tex]
It will also have same solution (x,y)
The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of linear equations is given below.
5x + 3y = 8 ...1
4x + 7y = 34 ...2
From equation 1, then we have
5x + 3y = 8
y = 8/3 - (5/3)x
Put in equation 2, then we have
4x + 7[8/3 - (5/3)x] = 34
12x + 56 - 35x = 102
-23x = 46
x = - 2
Then the value of y is calculated as,
y = 8/3 - (5/3)(-2)
y = 8/3 + 10/3
y = 18 / 3
y = 6
Let's check whether (-2, 6) satisfy the equation 9x + 10y = 42 or not. Then we have
9(-2) + 10(6) = 42
- 18 + 60 = 42
42 = 42
The solution of the equations is (-2, 6) which satisfies the equation 9x + 10y = 42.
More about the solution of the equation link is given below.
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Related Questions
2.
Mr. Champion has 14 fruit trees.
He has 1 apple tree and 1 plum tree, and the rest are divided evenly
among apricot, pear, and peach trees.
Last Thursday, Mr. Champion picked 6 apricots from each apricot
tree, 10 peaches from each peach tree, 3 pears from each pear tree, and 4
apples from the apple tree.
How many pieces of fruit did Mr. Champion pick last Thursday?
(Show your work)
Answers
Explanation:
Let’s find out the amount of trees Mr Champion has.
He has 14 in total. 1 apple tree and 1 plum tree, and the rest are divided evenly among apricot, pear and peach trees. This means:
1 apple tree + 1 plum tree = 2 trees
14 - 2 = 12 trees
12 / 3 (varieties of trees) = 4
In conclusion, he has
1 apple tree, 1 plum tree, 4 apricot, pear and peach trees.
Now let’s go to the section where he picks the fruit.
6 apricots from 4 trees
10 peaches from 4 trees
3 pears from 4 trees
4 apples from 1 tree
This means:
(6 x 4) + (10 x 4) + (3 x 4) + (4 x 1) = total pieces of fruit picked
24 + 40 + 12 + 4 = total pieces of fruit picked
Now, you add up those four numbers, and you have your answer, 80.
Hope this helps!
if 25 liters of milk can make 8 tin of cheese how many liters of milk would b needed to make 11 tin of cheese?
Answers
Answer:
Step-by-step explanation:
34.375 Liters of milk make 11 tins of cheese. Assuming that milk is available in whole liters only, 35 Liters of milk are needed.
What are Julie’s taxable wages as a data-entry operator if her withholding allowances total $1,500 and her annual gross pay is $24,500?
Answers
Julie's Taxable Wages:
Julie's taxable wages as a data-entry operator is:
= $23,000.
Data and Calculations:
a) Annual gross pay = $24,500
Total withholding allowances = 1,500
Taxable wages (income) = $23,000 ($24,500 - $1,500)
b) Julie's total withholding allowance of $1,500 is the total exemption that reduces how much income tax her employer can deduct from Julie's paycheck. This means that $1,500 will be deducted from $24,500, the gross pay, before arriving at her taxable income.
Thus, Julie's taxable wages represent the difference between her annual gross pay and her total withholding allowances.
Learn more about taxable income here: https://brainly.com/question/8653999
The number line shows the record low temperatures for four states.. what is the difference, between the low temperature in Hawaii and the low temperatures In south Dakota
A -70°F
B -46°F
C 46°F
D 70°F
Answers
Answer:
D 70°F
Step-by-step explanation:
Difference between temperature in Hawaii and in South Dakota is 12°F - (-58°F) = 12°F + 58°F = 70 °F
Can anyone help? I am terrible at math!!
Answers
I need help Plz help
Answers
Nose = ((1+1/2)*1)/2 = 0.75^2
Mouth = 3*(1ft/2)/2= 0.75ft^2
Board = 2/2/3*3 =8ft^2
Area = 8-0.5-0.75-0.75 = 6ft^2
The bar graph shows the z-score results of four students on two different mathematics tests. The students took Test 1 and then, a month later, took Test 2. Which student had the lowest score on Test 2? Euan Felicia Dave Carla
Answers
Answer:
euan had lowest score on test 2
The student with lowest score on test 2 is Euan.
What is bar graph ?Bar graph is used for the graphical representation of data or quantities by using bars or strips.
Here,
The z-score results of four students on two different mathematics tests is represented by the given bar graph.
Calculating the scores of each students for the two tests respectively.
1) Carla
Test 1: 0.75
Test 2: -0.5
2) Dave
Test 1: -0.5
Test 2: 1
3) Euan
Test 1: 0.25
Test 2: -1
4) Felicia
Test 1: 1.25
Test 2: 1.5
Hence,
The student with lowest score on test 2 is Euan.
To learn more about bar graph, click:
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Rectangle with the dimensions of 2 2/5 wide and 4 1/8 long what is the area
Answers
Answer:
10 5/16
Step-by-step explanation:
2 2/5 x 4 1/8 = 10 5/16
How many skirt-blouse outfits can a woman choose from if she has 5 skirts and 6 blouses?
Answers
She can have 30 different outfits/combinations
Find the ÷98 and place a point on the # line
Answers
Answer:
Draw a number line starting with -100, -95, -90, -85, -80, -75, -70, -65, -60, -55, -50, all the way to 0. Then put a point mark at where the -98 would be.
What is the purpose for post tests?
Answers
Answer:
The real reason of post test is to measure it's result in comparison to a pre test and determine d how much student has progressed over a term of instruction.
1) -9 + X = -4
Helpppppppp
Answers
Answer:
5
Step-by-step explanation:
-9 + x = -4
( move +x to right and -4 to left)
-9 +4= -x
[sign changes when number is moved]
-5= -x
[negative signs cancel out each other/ divide both sides by negative sign]
x = 5
What is the length of the diagonal of a rectangle with the base of 4 and an altitude of 3
Answers
Answer:
5
Step-by-step explanation:
Use the Pythagorean Theorem
C^2=a^2 + b^2
c^2= 3^2 + 4^2
c^2= 9+16
c^2= 25
The take the square root
c= √25
c = 5
I need to know the answer and explaining how to do it please
Answers
Answer:
Its 0.11
Step-by-step explanation:
When you divide any number by 10, you just move the decimal place one to the left, as for this number 1.1, you move it one place to the left which makes it 0.11. Mathmatically, to check your work you can do 0.11 x 10 to get 1.1
Mark brainliest and helpful
Hal's business made $500,000 last year. This year, his business made $650,000. What is the percentage difference? [?]%
Answers
Explanation:
To find the percentage profit, you use the following formula:
(Current revenue - Old revenue/ Current revenue) x 100
Applying this formula will give us:
1) (650,000-500,000/650,000) x 100
2) (150,000/650,000) x 100
3) (0.2308) x 100
4) = 23.08%
Hope this helps, brainliest would be appreciated :)
Answer:
the answer is 30 percent.
Step-by-step explanation:
i did it on acellus.
Help please!??!!?!?
Answers
9514 1404 393
Answer:
a) CP = SP/1.1
b) CP = $59.50
c) GST = $5.95
Step-by-step explanation:
a) Divide by the coefficient of CP.
SP = 1.1×CP
CP = SP/1.1
__
b) Use the formula with the given value.
CP = $65.45/1.1 = $59.50
__
c) You can do this two ways: subtract CP from SP, or multiply CP by 0.1.
GST = SP -CP = $65.45 -59.50 = $5.95
GST = CP×0.10 = $59.50 × 0.10 = $5.95
find the derivation of the given equation f (x) =7
pllz batao??
Answers
Answer:
0
Step-by-step explanation:
the derivative is zero since it has no variable
Answer:
0
Step by step explanation:
f'(x)=lim f(x+h)-f(x)/h
now since 7 is constant with no variable
f'(x)= lim(7-7)/h
f'(x)=0
simplified the expression y(y2 - y + 4)
Answers
Answer:
y^3 -y^2 +4y
Step-by-step explanation:
y(y2 - y + 4)
Distribute
y^3 -y^2 +4y
I need help on the decimal estimate can you tell me step by step please
Answers
∴－√150≈12.25
Hope my answer helped u :)
1 simplify 6x64 ÷ 16 +7-21
Answers
Answer:
10
Step-by-step explanation:
fill in the missing. 1:1000=1cm:_?
Answers
Answer:
meter
10 meters
Or
a dekameter
The retail of a price of an LCD TV was $7000 what was the original price before the GST of 10% was added?
Answers
Answer:
$636.36
Step-by-step explanation:
7000 = 110% of total cost
Try to get it to 100 percent
700/11 = 63.(63)
63.(63)*10= 636.36
look at the image below forr the question plz
Answers
Answer:
[tex]308 \ m^3\\[/tex]
Step-by-step explanation:
The volume of a three-dimensional shape is the amount of space the figure takes up. This can be found by multiplying all of the dimensions of a figure together. In essence, the following formula can be used to find the volume.
[tex]A=l*w*h[/tex]
Where (l) represents the figure's length; (w) is the width: and (h) the height. Substitute the given values into the formula and solve for the volume.
[tex]A=l*w*h[/tex]
[tex]A=7*4*11[/tex]
Simplify,
[tex]A=7*4*11[/tex]
[tex]A=28*11[/tex]
[tex]A=308[/tex]
What is the domain of this graph?
Answers
Answer:
the domain is all real numbers
For the given annual rate of change, find the corresponding growth or decay factor. + 300%
Answers
Answer:
50% growth would would be (1 + .5)^ n
and 100% growth would be (1+ 1)^n
I assume that the answer would be (1+3)^n
for 300% growth the factor would be 3
Step-by-step explanation:
Two points are plotted on a number line: -11.2 and 3.3. What is
the distance between these two points?
Answers
To find the difference you would just subtract. 11.2 - 3.3 = -7.9
-7.9 is the answer
write 10 toolbars on the keyboard
Answers
Answer:
WINKEY + D. ...
WINKEY + SPACE. ...
SHIFT + Mouse Click on a taskbar button. ...
CTRL + SHIFT + Mouse Click on a taskbar button. ...
SHIFT + Right Mouse Click on a taskbar button. ...
SHIFT + Right Mouse Click on a grouped taskbar button. ...
CTRL + Mouse Click on a grouped taskbar button. ...
WINKEY + T.
ctrl + X = cut
ctrl + c = copy
make me brainliest
PLEASE HELP VENN DIAGRAM!
Look at attached for the diagram!!!
In his diagram BH represents the students that have brown hair and W represents the students that are wearing a watch.
Is having brown hair independent of wearing a watch?
Please show some work if possible
Answers
Answer:
Yes.
Step-by-step explanation:
Since there is an overlap, that does mean some people with brown hair do wear watches, but not all of them do. Hence it's independent.
A team wishes to purchase 10 shirts of the same color. A store sells shirts in 3 different colors. What must the inventory of the store be in order to conclude that there are at least 10 shirts in one of the three colors?
Answers
Answer:
30
Step-by-step explanation:
Determine the value of x
Answers
Answer:
[tex]6\sqrt{3}[/tex]
Step-by-step explanation:
using the sine rule,
[tex]\frac{sin 60}{x} = \frac{sin 30}{6} \\x=\frac{sin60 * 6 }{sin30} \\x=6\sqrt{3}[/tex]
