Answer:
x = 5, y = 2
Step-by-step explanation:
First, isolate y in the top equation.
[tex]y = -5.3x+28.5[/tex]
Next, substitute y in the bottom equation.
[tex]4.2x + 3.1(-5.3x + 28.5) = 27.2[/tex]
[tex]5.3x + y = 28.5[/tex]
Simplify.
[tex]4.2x + -16.43x + 88.35 = 27.2[/tex]
Combine like terms.
[tex]-12.23x + 88.35 = 27.2[/tex]
Isolate x on one side.
[tex]-12.23x = -61.15[/tex]
Isolate x.
[tex]x = 5[/tex]
Substitute x into [tex]5.3x + y = 28.5[/tex]
[tex]5.3(5) + y = 28.5[/tex]
Simplify.
[tex]26.5 + y = 28.5[/tex]
Isolate y.
[tex]y = 2[/tex]
[tex]x = 5 \\y = 2[/tex]
plsssss help if u can 6th-grade math plss
Step-by-step explanation:
Q1. diameter =90yd radius=45
circumference of circle=2×pi×radius
"" =2×3.14×45
=282.6 yd
Q2 diameter =18m radius=9
area of circle=pi×(radius)
""" =3.14×9²
""" =254.34m²
Someone please help me on this I'm unsure if my answer is correct
Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be [tex]4w[/tex] and 3 more than would be [tex] + 3[/tex], the equation would be [tex]l = 4w + 3[/tex]. If the perimeter is 56, then the new equation, [tex]2(4w + 3) + 2(w) = 56[/tex] can be formed. This simplifies to [tex]8w + 6 + 2w = 56[/tex], then to [tex]10w + 6 = 56[/tex], then to [tex]10w = 50[/tex], and finally, [tex]w = 5[/tex]. So the width is 5, and now plug it into the first equation.
[tex]l = 4(5) + 3[/tex], becomes [tex]l = 20 + 3[/tex], becomes [tex]l = 23[/tex].
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure, [tex]2(23 + 5) = 2(28) = 56[/tex] which is correct.
On Friday, a local restaurant served 150 customers. Of these, 114
people ordered soup. What percent of the customers ordered soup?
A: 13%
B: 66%
C: 34%
D: 76%
PLS HELP MEEE I NEED THE ANSWERS RN
Answers:
x= -10 and y= 16
3y = -6x - 12
3y = -6(-2y+22) -12
3y = 12y - 144
3y + -12y = 12y -144 + -12y
-9y = -144
divide -9 on both sides
y= 16
x= -2y+22
x= -2y+22
x= (-2)(16)+22
x= -10
PLEASE HELP
6x+2+3x+7
CAN YOU HELP ME,TYvery much
Answer:
C
Step-by-step explanation:
(x-3)+7
Answer:
A
Step-by-step explanation:
b would +3 which is not right
c is also right...
d would be -x which is not right
A line passes through the point (-2, 7) and has a slope of -5.
Answer:
y - 7 = -5(x + 2)
Step-by-step explanation:
What's the goal of this problem? Please include the instructions.
If you want the equation of the line, recognize that a point on the line and the slope of the line are given: y - k= m(x - h) becomes y - 7 = -5(x + 2)
find the value of b
need help
Answer:
b=35
Step-by-step explanation:
Diagonals of a parallelogram always bisect each other, splitting it into two equal sections.
This means, b-8 is equal to 2b-43
b-8 = 2b-43
b+35=2b
b=35
Let me know if this helps!
Of the 300 television sets sold at an electronics store last month, 90 were flat screen TV's. What is the ratio of flat-screen TV's to other TV's sold last month?
I don't know how to do this. I would appreciate some help. thanks!!
Answer:
300 television sets total
300 - 90 flat screens = 210
flat screens 90:210 other TVs
now divide each side of the ratio by a common factor to simplify. I'm going to use 30
flat screens 3:7 other TVs
this cannot be simplified any further so the ratio is
flat screens 3:7 other tvs
Dell Tim and tommy ordered a pizza that was cut into 12 pieces dell had one piece Tim had 3 pieces and tommy had 4 pieces how much of the pizza did they eat
Answer: they had 7/12 or 7 slices out of 12 slices
Step-by-step explanation:
7 is a prime number so you can't a simplify the fraction and the denominator is 12 and 3 plus 4 is 7 which is the numerator
Write the expression in radical form:
1) x^2/5
2) a^7/4
who else thinks this is kinda a school social media??
Answer: I totally agree. In fact, it's the closest thing to social media I have LOL
This is a pond in the shape of a prism. It is completely full of water
Colin uses a pump to empty the pond.
The level goes down by 30 cm in the first 30 minutes.
Work out how many minutes Colin has to wait for
the pond to completely empty.
Kindly check picture to the question below.
Answer:
150 minutes
Step-by-step explanation:
Volume of prism = height * base area
Height of prism = 1m
Base area = area of a trapezium
Area of trapezium = 0.5(a + b) h
a, b = parallel sides, h= height of trapezium
Area of trapezium = 0.5(1.4+0.6)*2
Area = 0.5(2)*2 = 2m²
Hence,
V of prism = area of trapezium * height of prism
Volume = 2m² * 1m = 2m³
Decrease in water level due to pumping
20cm decrease in 30minutes
(20/100)m in 30 minutes
0.2 m decrease in height of water
Hence, height of water in prism after 30 minutes pumping :
height - 0.2 = 1 - 0.2 = 0.8m
Volume after 30 minutes of pumping :
Base area * new height
2m² * 0.8m = 1.6m³
Decrease in volume over 30 minutes :
(Initial volume - volume after pumping)
2m³ - 1.6m³ = 0.4m³
If ;
0.4m³ = 30 minutes
1.6m³ = x
0.4x = 48
x = 48 / 0.4
x = 120
Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.
Hence, total wait time :
120 minutes + 30 minutes
= 150 minutes
The digit 5 in 5³ is known as
Answer: it is called the base
Step-by-step explanation:
Write the equation of the line that is parallel to y+2=5(x-1) and passes through the point (-1, 0) .
( 50 points )
Answer: y=2x-3
Step-by-step explanation: I looked it up.
What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours
Answer: $50
Step-by-step explanation: Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)
It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.
Two pounds of peaches cost $4.5, 5 pounds cost $11.25, and 10 pounds cost $22.5. Show that the relationship between the number of pounds of peaches and the cost is a proportional relationship. Then write an equation for the relationship. Describe the proportional relationship in words.
Answer:
4.50/2=2.25
11.25/5=2.5
22.5/10=2.25
Step-by-step explanation:
Hope this helps ♡
Is 3 a factor of 24s - 167
yes
no
HELPPP
PLEASE HELP ME ON THIS THE ANSWERS ARE 1/3 cm/s, 1/2 cm/s, 2/3 cm/s, and 3/2 cm/s
Answer: 3/2 cm per second
========================================================
Explanation:
We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.
The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.
We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.
1. Sarah went to dinner, and the bill was $15.25. She left a 15% tip. How
much money did she leave rounded to the nearest penny?
Answer:
$17.54
Step-by-step explanation:
15% percent of $15.25 is $2.29 so, add them together
$17.54 is the answer I think
free branliest and points question is so easy :) :) :) :) :) :) :) :) :) :):| :) :) :) :) :) :) :P Ryan is shopping for barrels of concrete. After looking at different stores, he decides to purchase them from Construction and Us. The cost of their concrete barrels is listed in the table below:
Answer:
$23 per bag
Step-by-step explanation:
Ryan Is shopping for barrels of concrete
After looking at different stores he decides to purchase at construction and Us
Therefore the price of a bag can be calculated as follows
= 46/2
= 23
Hence the price of a bag is $23
Answer:
$23 per bag
Step-by-step explanation:
i got this frm the previous answer but im trying to stock up on points since i have alot of test coming up </3
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
if the angles of a triangle are 45°, 45°, and 90° show that the length of the hypotenues is √2 times as long as each leg
Answer:
Step-by-step explanation:
2
(a )square root of 2 (c)
Answer:
Step-by-step explanation:
Solve using substitution. y = 1
3x − 7y = 8
Answer:
(5, 1)
Step-by-step explanation:
Substitute:
[tex]3x - 7*1 = 8\\3x - 7 = 8\\3x = 15\\x = 5[/tex]
so the solution is (5, 1)
What is √7 rounded to the nearest hundredth?
Answer:
2.64
Step-by-step explanation:
The sqhate root of 7 is 2.64575131106. Usually this would be 2.64 when rounded to nearest hundredth.
This is my 2 try can someone plz help me get the answer
Answer:
surface area is the answer
Graph the line that passes through the points (-9,5) and (-9,-5) and
determine the equation of the line.
Answer:
x=-9
Step-by-step explanation:
M(slope)=y2-y1/x2-x1
m=-5-5/-9+9
m= -10/0
This means the slope is undefined. Whenever the slope is undefined, the line is vertical and is passing through the x-axis and parallel to the y-axis. Take the given coordinate (-9,5) and all you do is put x= -9. That's the equation of the line.
Ming and Daniel are selling cheese cakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Ming sold 6 French silk cheesecakes and 3 apple cheesecakes for a total of $114. Daniel sold 4 French silk cheesecakes and 5 apple cheesecakes for a total of $124. Find the cost of each of one French silk cheesecakes and one apple cheesecake.
3. A dragonfly traveled at a rate of 35 miles per hour for
2.5 hours. What distance did the dragonfly travel?
Answer:
70 miles
Step-by-step explanation:
You multiply 35 by 2.5
I get a 15% discount at Ann Taylor Loft. If I find a shirt I like for $20, how much will I have to pay for it?
