Q1 - Understanding simultaneous equations
Solve these simultaneous equations.
4 pillows and 5 quilts cost $57
9 pillows and 5 quilts cost $72
Find the cost of one of each.
4p + 59 = 57
9p + 59 = 72
P =
and q =
3 apple pies and 5 banoffee cost $28
3 apple pies and 7 banoffee cost $38
Find the cost of one of each.
3a + 5b = 28
3a + 2b = 38
a =
C
and b =
6 mugs and 3 plates cost $21
3 mugs and 3 plates cost $15
Write down and solve simultaneous
equations (m is the cost of a mug and
p is the cost of a plate, in $).
cal
m =
and p =
[
0
Answers
4p+5q = 57
9p+5q = 72
Subtract the second equation from the first equation.
4p+5q = 57
-9p-5q = -72
——————
-5p = -15
p = 3
4(3)+5q = 57
5q = 57-12 = 45
q = 9
A pillow costs $3. A quilt costs $9.
Related Questions
need help asap 20 points. thank u in advance
Answers
Answer:
$50 and $6
Step-by-step explanation:
(x-6)(250-5x)=0
250x - [tex]5x^{2}[/tex] - 1500 + 30x = 0
-5x^2 + 280x - 1500 = 0
(divide everything by -5)
x^2 -56x + 300 = 0
(factorise)
(x-50)(x-6)=0
x=50, x=6
joe finished his english assigments in 1/3 hours. Then he completed his chemistry assigment in 1/8 hours. What is the total amount of time joe spent doing these two assigments as a fraction in simplist form./ Aleks
Answers
Can 0.1/100 be simplified?
Answers
Answer:
Yes, the answer would be 0.001
Step-by-step explanation:
1. The average Third grade student can read 60 words in 5 minutes What is the average reading rate per minute?
Answers
Answer:
12 words per minute
Step-by-step explanation:
60/5=12
After 4new students joined a class the class had 32students which equation can be used to find n the number of students in the class before the 4new students joined
Answers
Answer:
n+4=32 is the answer
What is the output of the function when the input is 10? On the graph plot this point and label its coordinates
Answers
Answer:
Output value = 20
Step-by-step explanation:
Graph of any function is made up of two values → Values on x axis and Values along y axis.
x values represent the input values and y values represents the output values.
For every x value there is a y value because of which the data set is called to a function.
In other words, a function can't have two output values for a single input value.
If the input value of function is = 10
Then for x = 10, out value (along y axis) will be = 20
Therefore, Output value of the given function is 20.
(((QUICK QUESTION-WILL GIVE BRAINLYEST)))
Point (7,12) is rotated 1260° counterclockwise about the origin. What is the X-coordinate of the point after this rotation?
Answers
Given:
Point (7,12) is rotated 1260° counterclockwise about the origin.
To find:
The x-coordinate of the point after this rotation.
Solution:
If a point is rotated 360 degrees then its coordinates remains unchanged.
If a point is rotated 180 counterclockwise about the origin degrees, then
[tex](x,y)\to (-x,-y)[/tex]
We know that,
[tex]1260^\circ=1080^\circ+180^\circ[/tex]
[tex]1260^\circ=3\times 360^\circ+180^\circ[/tex]
After [tex]3\times 360^\circ[/tex] rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.
[tex](7,12)\to (-7,-12)[/tex]
The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.
Therefore, the x-coordinate of the required point is -7.
Help me with this problem
Answers
Answer: x=60
Step-by-step explanation:
Hey! X would be 60 because the diagram on the left has proportions of 6/6. The diagram on the right has a porportion of x/60. We want the proportions to be equal so it has to be 60!
6/6 = 1
60/60 = 1 (they are now equal and have equal proportions!)
SOMEONE PLEASE HELP ME!!!!!! I RLLY NEED THE ANSWER TO THIS!!!
The Pythagorean Theorem states that a² + b² = c?, where a and b are legs of a
right triangle and c is the hypotenuse. Are you able to simplify the Pythagorean
Theorem further to say that a + b = c? Explain.
Answers
Answer:
yes, you can square root to entire equation to get to a+b=c, the square root cancels out the 2
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS QUESTION!
Answers
Answer:
i dont know but i have a pic for u
Step-by-step explanation:
A teacher polled her students and determined 37 liked math and 44 liked history.
She has a total of 180 students. If there are 3000 students in the whole school. How
many students could you infer like something other than math and history.
Answers
Answer:
I’m pretty sure it’s 2919 students
Step-by-step explanation:
Ok 37-math
44-history
180 total students
99 students in the total didnt like them
3000 students in school.
-180
2919 students
What is area of figure. The height is 10m base is 25 m
Answers
Answer:
If it is a 4-sided figure: 250 m
If it is a triangle: 125 m
Step-by-step explanation:
What is the volume (in cubic feet) of the composite shape rounded to the nearest whole number?
Answers
Answer:
Peppa does not know
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line represented by the equation y – 5x = 5?
Answers
Answer:
5 1/5
step-by-step explanation
Brian bought 215 pounds of strawberries. In the afternoon his brother ate 56 of the strawberries. How many pounds of strawberries did his brother eat?
Answers
Hi there!
Step By Step:
We know that 215 pounds are about 215 strawberries since every strawberry are about 1 pound.
Let think about this... 215 pounds are 215 strawberries.
If his brother ate 56 of the strawberries, it means that his brother ate 56 pounds of the strawberry.
We can also think like this... 56/215
Final Result: 56 pound sof strawberries.
What expression can be used to determine the total cost of buying "a" pounds of almonds for $4.45 per pound and "f" pounds of flour for $0.85 per pound?
Answers
Answer:
Step-by-step explanation:
What expression can be used to determine the total cost of buying "a" pounds of almonds for $4.45 per pound and "f" pounds of flour for $0.85 per pound?
-6 + (-2) + 5= ?
Help would really be appreciated!! :)
Answers
Answer:
-3
Step-by-step explanation:
Answer:
-6 + (-2) + 5 = -3
(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)
An average sized person will burn about 350 calories in an hour of walking at a fairly brisk pace. How many calories would you burn if you walk an hour a day for 6 months
Answers
Answer: 65100 Calories
Step-by-step explanation:
Let's believe that there are 31 days in a month. Therefore, the number of days in 6 months will be:
= 31 × 6
= 186 days.
This means that the person will walk for 186 hours
The number of calories that will be burn will then be:
= 186 × 350
= 65100 calories
Karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad? 2 pounds 223 2 2 3 pounds 3 pounds 313 3 1 3 pounds
Answers
Answer: 2²/₃ pounds
Step-by-step explanation:
There are 8 pounds of fruit.
These are to be used to make 3 equal sized fruit salad.
The weights of each fruit salad will therefore be:
= Pounds of fruit/ Number of fruit salads
= 8 / 3
= 2²/₃ pounds
Can someone please help me
Answers
Answer:
131.88cm
Step-by-step explanation:
Implement the formula for circumference of a circle:
2×pi(3.14)×r, r= 21cm and pi is given as 3.14. Substitute your given values into the formula above:
2 × 3.14 × 21= 131.88cm to the nearest hundreth
Combine like terms.
y+3+2(y + 3) =
Please i need this for now
Answers
Answer:
3y+9
Step-by-step explanation:
Which situation can be represented by y = 10x?
Answers
hope that it’s correct.
Answer:
56 ok
Step-by-step explanation:
I don't know how to explain it but please help!
Answers
Answer:
required answer. is 1/x³
WILL GIVE BRAINLIEST AND 20 POINTS!
To prevent fraying, a binding is attached to the outside of a circular rug whose radius is 3 ft. If the binding costs $1.35 per foot, find the cost of the binding. Use 3.14 for . (Round your answer to the nearest cent.)
$
Answers
Answer:
$4.71
Step-by-step explanation:
you would multiply the radius times pi (you would get 6.42 ft) and then divide that by 1.35 (simplifying it to 642 divided by 135 and you would then get 4.706...)which rounds to the answer
A store offers 30% off all items. If x is the original purchase price, select all of the expressions which represent the final price with the discount.
a 0.7x
b x
c x + 0.3x
d x - 0.3x
e 12x
Answers
Answer:
D c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
not really an explanation
Look at the square find the value of C
Answers
Answer:
5
Step-by-step explanation:
Perimeter is created by add all sides together
20 / 4 sides = 5
Rewrite the function by completing the square.
f(x) = x^2 – 8x – 2
Answers
Answer:
[tex](x-4)^2-18[/tex]
Step-by-step explanation:
[tex](x^2-8x-2)\\= (x^2-8x+16)-18\\= (x - 4)^2 - 18[/tex]
Answer:
-4 and -8 (Khan)
help me plz, I'll mark brainiest
Answers
Answer:
1
Step-by-step explanation:
I guess it's the first choice
A number line is shown.
E
F
H
G
+
10
-10 -5
0
15 20
Which two point values create a zero pair?
A points E and F
B points Fand G
cpoints G and H
D points E and H
Answers
Answer:
it's b) F and GStep-by-step explanation:
to understand thisyou need to know about:integeradditionPEMDASlet's solve:-5 and 5 make
if you add them you will get 0
-5+5
=0
therefore
it's bWhat is the measure of the indicated angle ?
Answers
Answer: this is easy put attention to your teacher
Step-by-step explanation: