Answer:
Step-by-step explanation:
1. Find the system for 2x+3y=5 and 3x+y=6 using substition.
I will solve your system by substitution.
(You can also solve this system by elimination.)
3x+y=6;2x+3y=5
Step: Solve3x+y=6for y:
3x+y+−3x=6+−3x(Add -3x to both sides)
y=−3x+6
Step: Substitute−3x+6foryin2x+3y=5:
2x+3y=5
2x+3(−3x+6)=5
−7x+18=5(Simplify both sides of the equation)
−7x+18+−18=5+−18(Add -18 to both sides)
−7x=−13 (Divide both sides by -7)
x=[tex]\frac{13}{7}[/tex]
Step: Substitute [tex]\frac{13}{7}[/tex] forxiny=−3x+6
y=−3x+6
y=−3([tex]\frac{13}{7}[/tex])+6
y=[tex]\frac{3}{7}[/tex]
2. Let's solve your system by elimination.
3x+y=6;2x+3y=5
Multiply the first equation by -3,and multiply the second equation by 1.
−3(3x+y=6)
1(2x+3y=5)
Becomes:
−9x−3y=−18
2x+3y=5
Add these equations to eliminate y:
−7x=−13
Then solve−7x=−13for x:
−7x=−13 (Divide both sides by -7)
x=[tex]\frac{13}{7}[/tex]
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+y=6
Substitute[tex]\frac{13}{7}[/tex] forxin3x+y=6
3([tex]\frac{13}{7}[/tex])=6 (Simplify both sides of the equation)
y+39/7+−39/7=6+−39/7 (Add (-39)/7 to both sides)
y=[tex]\frac{3}{7}[/tex]
what is 6a+6=-18
a=___
Answer:
a=-4
Step-by-step explanation:
6a+6=-18
-6 -6
6a=-24
___ ___
6 6
a=-4
Answer: a=-4
Step-by-step explanation:
Subtract
from both sides of the equation
6+6=−18
6+6−6=−18−6
Simplify
Subtract the numbers
Subtract the numbers
6=−24
Divide both sides of the equation by the same term
6=−24
66=−246
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−4
which inequality matches the graph.
a. -2x + 3y > 7
b. 2x - 3y < 7
c. -3x + 2y > 7
d. 3x - 2y < 7
Answer:
where is the graph
Step-by-step explanation:
A loan of $7,000 was approved for 36 weeks. Total amount (principal and interest) was paid as S 7388 charged with an 8% annual rate of interest. What is the value of t time in years?
Answer:
.7
Step-by-step explanation:
I'm going to assume that there will just be one final payment at the end. I am also going to discard the fact that the loan was approved for 36 weeks becuase I don't know what to do with that information
I will be using the following formula
[tex]FV=PV(1+i)^n[/tex]
Plugging in the numbers we get
7388=7000(1+.08)^n
We we divide by 7,000 and simplify what we can to get
1.0554=1.08^n
We then write the following log
log(1.0554)/log(1.08)=n
Compute this and get n= .7
The candy maker discovered for every 10 pieces of wrapped candy, 4 were not wrapped. How many pieces of candy were not wrapped if there was 3,640 pieces of candy?
Answer:
1,456
Step-by-step explanation:
x% * 10= 4 x = 40%
40% * 3,640 = 40/100 * 3,640 = 4*364 = 1,456
Pleaseee for the love of god help
Answer:
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
Can y’all answer these two please
Answer: Step-by-step explanation:
21^2= 441
21*21=441
8^3 = 512
8*8*8= 512
Hope This Helps!!!
Answer:
Question 4.
21^2=441
Question 5
8^3=512
Step-by-step explanation:
21×21=441
8×8=64×8=512
Help me with number 7 (geometry) hint= x is 18 1/3 (show work)
Answer:
2x-15+10x-25=180
2x-10x=180+15+25
-5x=220
=44
ı hope its true
Step-by-step explanation:
Brainliest il give Brainliest plss help
Answer:
3:4
2.7:4
3.it represents the smiley faces and the total
Step-by-step explanation:
Luke invited 20 more boys than girls to his birthday party. However, only ¾ of the boys and ⅔ of the girls came. Exactly 19 of Luke’s friends did not show up because they had to do some math homework. How many friends did he invite?
Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
please help, i don’t understand this at all.
Write the standard form of the line that contains a slope of -3/2 and y-intercept of 6. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Enter a fraction that is equivalent to
1/9
with a numerator of 2.
Answer:
2/18
Step-by-step explanation:
Answer:
2/18
Step-by-step explanation:
2/1=2
2*9=18
2/18
Hope this helps. Have a nice day you amazing bean child.
Paul drew two circles. One circle has a radius of 8 centimeters and the other has a radius of 12 centimeters, as shown.
12 cm
8 cm
Paul says that the area of the shaded section between the two circles is 16 square centimeters because A = *(12 - 8) = 16
a. Use words or numbers to explain the error that Paul made in his calculation.
b. What is the area, in square centimeters, of the shaded area between the two circles? Use 3.14 for 7. Show your work or explain how you
know
Answer:3cm
Step-by-step explanation:
Answer:
HABATARI TE RA. MOSHOMOTE Y DORITE TSUKANA SA DO RA AOI
Step-by-step explanation:
PLZ answer this for me its urgent PLZ needed Now!
Answer:
1 or 2 i think 2
Step-by-step explanation:
A cylinder is 12 feet high and has a diameter of 10 feet. in cubic feet, what is the approximate volume of the cylinder
Answer:
300π or 942.477796077 cubic feet
Step-by-step explanation:
25π*12=300π
The approximate volume of the given cylinder is 942.48 ft³.
What is the volume of the cylinder?The volume of the cylinder is the density which signifies the amount of substance it can hold.
Mathematically,
V = πr²h
where, r is the radius of the cylinder
and h is the height of the cylinder.
It is given that,
Height h of the cylinder = 12 ft
Diameter d of the cylinder = 10 ft
⇒ Radius r = d/2
⇒ r = 10/2
⇒ r = 5 ft
Now, Volume of the cylinder V = πr²h
Putting the values of r and h of given cylinder. We get,
⇒ V = 3.14 × (5 ft)² × 12ft
⇒ V = 3.14 × 25 ft² × 12 ft
⇒ V = 3.14 × 300 ft³
⇒ V ≈ 942.48 ft³
The approximate volume of the given cylinder is 942.48 ft³.
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? Solve for X
3x + 6 = 21
Answer:
x=5
Step-by-step explanation:
21-6=15
3x=15
15÷3=5
Answer:x=5
Step-by-step explanation:
$8.49×6=□
$509.40
$50.94
$50.93
$5.09
Answer:
hahahaha sorry its 50.94
Step-by-step explanation:
What is the value of y?
A. 50°
B. 30°
C. 60°
D. 400°
Answer: D. 40 degrees (I'm assuming you meant 40 not 400)
Step-by-step explanation:
There are 180 degrees in a triangle so we list the angles in an equation:
180 = 50 + 2y + y + 10
Subtract 60 from each side of the equation:
120 = 3y
Divide 3 from each side of the equation:
40 = y
which is the best way to describe l-2l ?
Answer:
opposite of 2
Step-by-step explanation:
Answer:
The answer is the Opposite of 2
Step-by-step explanation:
Hope this helps!
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls
Answer:a
Step-by-step explanation:all the other ones are not smart
if u think about it
U can’t dived t and I so just do the one that doesn’t do that
The number of children playing on a playground was recorded over several days. The data was displayed in both a histogram and stem-and-leaf plot.
What information does the stem-and-leaf plot contain that the histogram does not?
A) how old the children on the playground are
B) categorized frequencies of the number of children
C) the exact number of children on the playground each day
Answer:
It is the one you have selected. "The exact number of children on the playground each day."
Step-by-step explanation:
The stem and leaf plot shows each amount of children specifically. The histogram has the ages in groups. The stem and leaf plot is more specific and shows the inside information while the histogram only shows the number of children and frequency put in groups. I also took the quiz and got this right.
Hope this helps! Make sure to give me brainiest if somebody else answers.
Answer:
The answer is C
Step-by-step explanation:
I did quiz
Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x)=-2x+5
Step-by-step explanation:
The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.
So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).
Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=-2x+5.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given line passes through two points with coordinates (0,5) and (1,3). Therefore, the slope and the y-intercept of the given equation of a line can be written as,
Slope, m = (5 - 3)/(0 - 1) = 2/-1 = -2
y-intercept, c = 5
Now, the equation of the line can be written as,
y = mx + c
y = -2x + 5
Hence, the equation of the given line is y=-2x+5.
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Which graph represents the solution to the given system? –4x + 2y = –11 and –2x + 2y = –15
Answer:
can you please add the link so we can see the graph options
Step-by-step explanation:
What is the length of one leg of the triangle?
O 9 cm
O 92 cm
O 18 cm
1872 cm
Answer:
9 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
To find the answer of this equation, you would use the law of sine
so... (18)/sin(90)= (x)/sin(45)
to find for the length of one side simply isolate for x.
Because sin(90) equals 1, you just have to multiply 18 by sin(45) which equals [tex]\sqrt{2}[/tex]/2
so x= 9[tex]\sqrt{2}[/tex]
The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (3,144) and (7,336) to find the number of soda bottles the machine can make each minute.
Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?
$52.00
$14.50
$40.50
$48.50
Answer: The answer is $48.50
Answer: The answer is $52.00.
Step-by-step explanation:
Step 1: Find the Unit Rate
$32.50 divided by 5 = $6.50
Step 2: Find the Price for Babysitting for 8 Hours
$6.50 x 8 (hours) = $52.00
I hope this helps!
3.
The slope of the line parallel to 2x – 3y = 4 is
No
TRUE
FALSE
Submit Answer
Answer:
false
Step-by-step explanation:
this is because the slope would be 2/3 if you follow the equation y=mx+b
Answer: false
Step-by-step explanation: the other one is a slope of POSITIVE 2/3
Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'. Which statement is true?
Trapezoid A'B'C'D' is larger than trapezoid ABCD because the scale factor is greater than 1.
Trapezoid A'B'C'D' is larger than trapezoid ABCD because the scale factor is less than 1.
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is greater than 1.
Answer:
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.
Step-by-step explanation:
Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.
We have given that,Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'.
We have to find the correct statement.
What is the meaning of the scale factor?If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.
Therefore from the given we can conclude that the statement,
If the scale factor is between 0 and 1, the image is a reduction
Therefore,Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1 is correct.
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Jonathan put ice cream in the freezer, and the ice cream remained frozen.
Which of the following best describes this situation?
Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.
Answer:
C- Based on the data, this is an example of causation
Step-by-step explanation:
This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!
The option best describes this situation is C; Based on this data, this is an example of causation.
What is correlation?Correlation of two pairs of data values tells about the degree of movement that can occur in one of the data values when other data value is increased or decreased respectively.
Also, Causation refers to causing something. When one variable influences another variable.
The ice cream remained frozen caused by the fact that it was put in the freezer by Jonathan.
We can also say that, ice cream remained frozen is the result of the occurrence of the event that it was put in the freezer.
So, The option best describes this situation is C; Based on this data, this is an example of causation.
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WILL GIVE BRAINLIEST TO QUICKEST ANSWER Which expressions are equivalent to
513x+7)=3(x-4)? Select three options
Answer:
14,364
Step-by-step explanation:
513x7=3591x4=14,364
Coach Collin’s soccer team selected 16 girls from 124 girls who tried out for the team. What decimal is equivalent to the fraction of the girls selected from the group of girls who tried out for the team?
Answer:
124
Step-by-step explanation: