Answer:
x = -3, y = -7Step-by-step explanation:
-5x + 7y = -34 ⇒ -5x = -34 - 7y
-5x + 3y = -6
-34 - 7y + 3y = -6
-34 - 4y = -6 {add 34 to both sides}
-4y = 28 {divide both sides by (-4)}
y = - 7
-5x + 3y = -6
-5x + 3(-7) = -6
-5x - 21 = -6 {add 21 to both sides}
-5x = 15 {divide both sides by (-5)}
x = -3
What is the area of the real objet that the scale drawing models
A. 300 square cm
B. 60 square cm
C. 25 square cm
D. 12 square cm
Answer:
C. 25 square cm
Step-by-step explanation:
Which of the following correctly expresses the number below in scientific
notation?
0.00000628
Answer:
E. 6.28 x 10^-6
Step-by-step explanation:
what is the slope of the graph of the equation 4x - 6y=2?
A.-4
B.-1
C.2/3
D.3/2
2/3 is the slope of the graph of the equation 4x - 6y=2. Option C is correct.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation of the graph is 4x - 6y=2
We need to convert this to the slope intercept form y=mx+b
4x - 6y=2
Subtract 4x from both sides
-6y=2-4x
Divide both sides by -6
y=-2/6+4/6x
y=2/3x-2/6
Hence 2/3 is the slope of the graph of the equation 4x - 6y=2
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PLEASE HELP ME!!! ON THE FIRST QUESTION!
Answer:
9ber
Step-by-step explanation:
Aight will do
what is the range of the function y=3x-2 if the domain is {0,1,2}
Answer: 2
Step-by-step explanation:
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.
Answer:
The 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
Step-by-step explanation:
Given
a₁ = 6common ratio r = 3/2To determine
a₆ = ?
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
substituting a₁ = 6, r = 3/2
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
Determining 6th term
substituting n = 6 in the given equation
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
[tex]a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}[/tex]
[tex]=6\cdot \frac{3^5}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:6}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:2\cdot \:3}{2^5}[/tex]
Cancel the common term
[tex]=\frac{3^6}{2^4}[/tex]
[tex]=\frac{729}{16}[/tex]
Therefore, the 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
4. A boat shop rents its boats for $20 per hour and charges a flat fee of
$10 dollars for insurance in case of damage. What is the total cost for
renting one boat for 5 hours? Hint: multiply and add the fee. *
O $100
$110
$30
O $70
Answer:
4 hours
Step-by-step explanation:
Let x = # of hours
22x + 10 = 98
-10 -10
____________
22x = 88
22
x = 4
Find the length of side AB.
Give your answer to 3 significant figures.
C
410
13.5 cm
A
B
ANSWER:
sin41 × 13.5 = 8.85679
rounded to 3 sig fig
= 8.57
Answer:
8.86 cm
Step-by-step explanation:
The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90° (right angle). Therefore using sine rule:
[tex]\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f[/tex]
x = AB = 8.86 cm
if 2 polygons are similar what must be true about them
Answer:
their corresponding side length are poprotional
please thanks me
I just need to write the standard form for the equation
Answer:
wcsvbth5435y4wte3rwth54u3
If polygon ABCD is moved right 3 and up 2, what would the new coordinates of vertex D?
a) (0,9)
b) (1,0)
c) (4,2)
d) (-3,5)
4(x + y)= pleaseee answer I need this done by today
4x+4y..........................
2/3x+5=21 pls use shoe work
[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]
-0.1 , l 9/8 l , 10 , 5/6 , -0.02 least to greatest
Answer:
-0.02, -0.1, 19/81 ,5/6 ,10
Step-by-step explanation:
8.5675859
rational or irrational ?
Answer: irrational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
Two dice are rolled in succession. Determine the probability that their sum is 10 or more, given that the first die is a 5 or 6. Show your work.
rickroll me
or im gonna give u up
Answer:
Rickroll
Step-by-step explanation:
Answer:
Step-by-step explanation:
im kakyoin
jojo greatest
A gray crayon is made with 5\text{ mL}5 mL5, start text, space, m, L, end text of black wax for every 6\text{ mL}6 mL6, start text, space, m, L, end text of white wax.
Step-by-step explanation:
Given that,
A gray crayon is made with 5 mL of black wax for every 6 mL of white wax.
We need to find the mixture will create the same shade of gray.
For this we need to make the ratio same.
If we multiply 5 mL and 6 mL by 3 to make the ratio same.
5 mL × 3 = 15 mL
6 mL × 3 = 18 mL
Hence, 15 mL of black wax mixed with 18 mL of white wax is mixed so as to make the ratio same.
Answer:
15ml of black wax mixed with 18ml of white wax
35ml of black wax mixed with 42ml of white wax
Step-by-step explanation: Khan Academy
at southeast middle school 16 1/4 % of the students wear braces. what fraction of the students wear braces?
Answer:
4
Step-by-step explanation:
divide them
Hey there!
16 1 / 4% = 16(4) + 1 = 64 + 1 = 65
65 / 4% = 16.25%
• Percentages usually run out of 100
16.25 / 100
• Finding out the ratio of your given number, multiply the numerator and denominator by the number 4
16.25 * 4 / 100 * 4
16.25 * 4 = 65 (numerator)
100 * 4 = 400 (denominator)
• Equation: 65 / 400
• REDUCE the GIVEN FRACTION (65/400)
• Once when you have the fraction reduced you should have came up with: 13/80 (aka your answer)
• Answer: 13/80 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Which of the following expressions is equivalent to xy^3?
(options in the pic)
Answer:
A
Step-by-step explanation:
[tex] {xy}^{3} [/tex]
means that xy is being multiplied with itself thrice.
Hence,
[tex]xy \times xy \times xy[/tex]
What is the value of the function when x = 3?
y =
Answer:
9, plug 3 in for x and multiply 3(3)
if there are 5 people per 10000 buses how many will there be
Answer:
45 x 5 = 225 so 225 students altogether on 5 buses
Step-by-step explanation:
have a good day
Answer:
50,000 people.
Step-by-step explanation:
5 people on each bus.
10,000 buses total.
5 x 10,000 = 50,000
A tennis camp charges $40 per student for a full-day
camp. The camp runs only if at least 5 students sign
up, and it limits the enrollment to 16 campers a day.
The amount of revenue, in dollars, that the tennis camp
collects is a function of the number of students that
enroll.
The equation R(n)=40n defines this function.
What is the input?
Answer:
40(5)= $200
Step-by-step explanation:
I think thats right but im not sure
Select the correct answer.
What is the solution for x in the equation?
-3x+7X-8 = 34 + 9x-2
OA
L =
OB.
L =
COM
OC.
I = 8
OD.
I = -8
Answer:
-8
Step-by-step explanation:
-3x+7x-8=34+9x-2
we move the x's to the left and the numbers to the right
4x-9x=32+8
-5x=40
x=-40/5
x=-8
If $5,000 is invested at 6% interest, how much money must be invested at 8% interest so that the total interest from the two investments is $660 after one year?
Answer:
$4500
Step-by-step explanation:
Simple Interest formula = Principal × Rate × Time
Let the amount of the money invested at 8% Interest = x
Hence:
$5000 × 6% × 1 + x × 8% × 1 = $660
$300 + 0.08x = $660
0.08x = $660 - $300
0.08x = $360
x = $360/0.08
x = $4500
Therefore , the amount that must be invested at 8% interest is $4500
which is an equation of the line through (-1 -4) and parallel to the line 3x+y=5
Answer:
y=-3x-7
Step-by-step explanation:
y=-3x+5
-3 stays the same
y=-3x+c
input values
-4=3+c
c=-7
y=-3x-7
x+3=10 show your work
Answer: 7
Explanation:
x+3=10
10-3=x
7=x
On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater to a restaurant. On the map the movie theater is 1/2 inch from her house and the restaurant is 3/4 inch from the theater how many miles does Bonnie driven when she gets to the restaurant
A. 1 1/4
B. 9 3/8
C. 10
D. 12 1/2
Answer:
Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.
Step-by-step explanation:
Given that:
3/4 inches on map are equal to [tex]7\frac{1}{2}[/tex] miles
We will find the unit rate in term of inches.
[tex]\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch[/tex]
Total distance covered by Bonnie according to map;
Total distance = [tex]\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}[/tex]
Total distance = [tex]\frac{5}{4}\ miles[/tex]
Actual distance = [tex]\frac{5}{4}*10 = \frac{25}{2}\ miles \\[/tex]
Actual distance = [tex]12\frac{1}{2}\ miles[/tex]
Hence,
Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.
i WILL give brainiest
Answer:
(9t/4)
Step-by-step explanation:
HERE'S UR ANS...FRND...
T×9
= ————
4
9T
= ———
4
I DONT WANT BRAINLIEST....I ONLY WANTED UR SATISFACTION....
HOPE IT HELPS...
which is parallel to the line y=-4/5x + 6?
Answer:
Rewrite in slope-intercept form.
Tap for more steps...
y=−4/5x+6
Using the slope-intercept form, the slope is −4/5 .
m=−4/5
All lines that are parallel to y=−4/5x+6
have the same slope of −4/5.
mparallel=−4/5
Step-by-step explanation:
The line parallel to the x- axis which is given equation is [tex]y=-\frac{4}{5}+6[/tex]
Parallel lines:Parallel lines are lines that have the same slope. They are lines that do not meet at any given point and the distance between the two points is constant. For example, if we have a line [tex]y=m_1x+c_1[/tex] which is parallel to the line [tex]y=m_2x+c_2[/tex] then: [tex]m_1=m_2[/tex] and we can rewrite the equation of the second line as :[tex]y=m_1x+c_2.[/tex]
We have the equation is:
[tex]y=-\frac{4}{5}+6[/tex]
Now, The equation is in the form of y = mx + c
Hence, The value of slope - intercept form is : m = -4/5
We have to plot the line in the graph :
[tex]y=-\frac{4}{5}+6[/tex]
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