x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.
What are linear equations?A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).
To solve the simultaneous equations:
8x + 3y = 45 ...(1)
2x + 3y = 27 ...(2)
By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:
(8x + 3y) - (2x + 3y) = 45 - 27
6x = 18
x = 3
In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):
8x + 3y = 45
8(3) + 3y = 45
24 + 3y = 45
3y = 45 - 24
3y = 21
y = 7
Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.
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Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza.
Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ?
a. 5√13
b. 12
c. √194
d. 18
e. 5√5
Answer:
YZ = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of XZ = 13
Lenght of XY = 5
Lenght of YZ =?
The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:
XZ² = XY² + YZ²
13² = 5² + YZ²
169 = 25 + YZ²
Collect like terms
169 – 25 = YZ²
144 = YZ²
Take the square root of both side.
YZ = √144
YZ = 12
Therefore, the length of YZ is 12
5.) Evaluate
6=(2+1). 3-9
Answer:
Fraction: 1/8
Decimal form: 0.05
Heat is transferred from one particle of matter to another without the movement of
matter itself in a process called?
A. radiation
B. insulation
C. conduction
D. convection
A shoe store is having an After Holiday sale and everything must go! If all the shoes are marked 60% off, how much do you pay for 2 pairs of shoes that cost $45 and $75?
Answer:
$48
Step-by-step explanation:
Find 1% of each pair of shoe first.
1 pair of shoe which cost $45:
100% = 45
1% = 45 ÷ 100 = 0.45
Other pair of shoe which cost $75:
100% = 75
1% = 75 ÷ 100 = 0.75
Now find 60% of each pair, the sale percentage.
1 pair of shoe which cost $45:
60% = 0.45 x 60 = $27
Other pair of shoe which cost $75:
60% = 0.75 x 60 = $45
Now, do full price - 60% of it.
$45 - $27 = $18
$75 - $45 = $30
Now add them up.
$18 + $30 = $48
(Final answer)
What is the solution to the equation? 13 3/4+X= 7 1/ 4
Answer: x=-6 1/4
Step-by-step explanation:
write this number in standard form.
(7 x 100) + (4 x 100 ) + (8 x 1,000)
help asap.
this is a 5th grader problem.
thank you.
worth 50 points!
Answer:
(7 x 100) + (4 x 100 ) + (8 x 1,000)
=700+400+8000
=1100+8000
=91009100 is the right answer.A camera has a listed price of $ 655.95 before tax. If the sales tax rate is 9.5%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
Which verbal expression does NOT represent 9-x?
x less than nine
subtract x from nine
x decreased by nine
the difference of nine and x
If GEOM is a square, find m2GQE.
Answer:
90 is correct answer of it question
what is the length of the diagonal C
then find the length of diagonal D
Answer:
d = √389
Step-by-step explanation:
to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.
a^2 + b^2 = c^2
10^2 + 17^2 = x^2
100 + 289 = x^2
389 = x^2
√389 = √x^2
√389 = x
2x-5y=10
Solve for x and y
Plsssss
The diagram shows three squares, PQRS, TUVW, WXYZ.
Angles PUVand QYX are 62 and 74 respectively. What is angle VWX?
Answer:68
Step-by-step explanation:
What is the value of (-13.6)(0.08)?
Answer:
The answer is -1.088
Step-by-step explanation:
Multiply − 13.6 by 0.08 .
Hoped this helped!
PLEASE NOTICE, IF YOU HELP ILL GIVE 50 POINTS AND BRAINLIEST
Answer:
See proof below.
Step-by-step explanation:
Statements Reasons
1. Seg. DE congr seg GF 1. Given
2. <1 congr. <2 2. Given
3. DE || GF 3. Theorem: If 2 lines are cut by a transversal such that alt int angle are congruent, then the lines are parallel
4. DEFG is a parallelogram 4. Theorem: If a quadrilateral has two sides that are congruent and parallel, then it is a parallelogram.
The line inside this circle is its
A)
center
B)
circumference
09
diameter
D)
radius
The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?
6
7
14
15
Answer:
umm it think it is 14
Step-by-step explanation:
Answer:c
Step-by-step explanation:
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS THE FASTEST (QUESTION IN GRAPH)
Answer:
$210
Step-by-step explanation:
We can tell the line of the graph is y=3x-150
Therefore, if we plug 120 into x,
y=360-150
y=210
A rectangular lunch tray is 33 cm long and 26 cm wide.
What is the area of the tray in square centimeters?
Answer:
858cm
Step-by-step explanation:
33cm times 26cm= 858cm
l times w =a
l= length
w= width
a= area
2.0707 round to the nearest tenth
Answer:
2.1
Step-by-step explanation:
Answer:
2.1
Step-by-step explanation:
07 turns into 10 so
7.10 or 7.1
the water level in a ocean bay changes at an average rate of 3 meters per hour. at this rate how many hours would it take for the water level to change 12 meters
Answer:
4 hours
Step-by-step explanation:
3 meters - 1 hour
12 meters/3 meters = 4!
HELP ASAP!!!!!!!
Simon earns $8.50 per hour for up to 30 hours of work
in a given week. For each hour Simon works over 30
hours in a week, he earns 1.5 times his regular hourly
rate. How much does Simon earn for a week in which
he works 35 hours?
Answer:
$318.75 for a 35 hour work week.
Step-by-step explanation:
8.50 x 1.5 = 12.75 for every hour extra
8.50 x 30 = 255
12.75 x 5 = 63.75
255 + 63.75 = 318.75
The required earnings for Simon for the 35 hours is $318.75.
Simon earns $8.50 per hour for up to 30 hours of work in a given week. For each hour Simon works over 30 hours in a week, he earns 1.5 times his regular hourly rate. How much does Simon earn for a week in which he works 35 hours is to be determined.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
The hourly rate for 30 hours is $8.50 per hour.
Total earning for 30 hours = 8.50 × 30 = $255
For hourly earnings increase by 1.5 times post 30 hours,
So the required hourly income after 30 hours = 8.5×1.5 = 12.75
According to the question,
Simons earning for 35 hours = 8.5 × 30 + 12.75 × 5 = $318.75
Thus, the required earnings for Simon for the 35 hours is $318.75.
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PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer: C
Step-by-step explanation:
A rectangle with a length of 5 cm and a width of 2 cm is cut diagonally. What is the
area of one of the triangles formed?
Answer:
The area is 5 cm
Answer:
5 cm²
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles with legs 5 and 2
The area (A ) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
= 0.5 × 5 × 2 = 0.5 × 10 = 5 cm²
how many solutions 2a + 4 = a + a + 4
Answer:
Infinite Solutions.
Step-by-step explanation:
If you simplify everything you would get 2a +4 = 2a +4 in which a can be anything.
Hayley's birthday party will cost $27 if she invites 3 guests. How many guests
can there be, at most, if Hayley can afford to spend a total of $36 on her
birthday party? Assume the relationship is directly proportional.
Answer:
imma say 12 guests
Step-by-step explanation:
sorry if wrong
Your friend has s pennies. You have 11 pennies. You and your friend have a total big 23 pennies. Which equation can you use to find s?
A.) s + 11 = 23
B.) 11s = 23
C.) s - 11 = 23
D.) s divided by 11 = 23
If correct I will mark brainlist ❤️
Answer:
A.
Step-by-step explanation:
The answer would be a because if you have s + 11 you will get 23
but if you were to find s it would be 12
1. t+7=5 step by step
Answer:
t=-2
Step-by-step explanation:
t+7=5
t+7-7=5-7
t=-2
- 3c ( 4x - 2y ) PLESE HELP ASAP I WILL GIVE 5 STARS AND BRAINLIEST
Answer:
-12cx + 6cy
Step-by-step explanation:
-3c x 4x = -12cx
-3c x -2y = 6cy this is because when you multiply 2 negatives, it becomes a positive
Final Answer: -12cx + 6cy
The mean age of 4 women in an office is 28 years old. the mean age of 4 men in an office is 30 years old. what is the mean age(nearest year) of all the people in the office?