Solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
x=
y=
Answer:
The solution is:
x=3
y=4
Step-by-step explanation:
We need to solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
Substitution method involves placing value of x or y from one equation to other equation.
We have:
[tex]2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)[/tex]
We will put value of y from equation 2 into equation 1.
[tex]2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=\frac{24}{8}\\x=3[/tex]
So, we get x =3
Now, put value of x in equation 2 to find value of y
[tex]y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4[/tex]
So, we have y = 4
The solution is:
x=3
y=4
Graph the inequality on the axes below.
3x +y > -7
Step-by-step explanation:
use desmos it's a graphing calculator just put in the equation
Use special right triangle properties to solve for the missing sides.
12
309
X
O x-24;y - 4
Ox=8:y= 4
O x - 413 : y = 873
O y = 473 ; x = 8/3
Answer:
cos30=12/x
√3/2=12/x
x=12×2/√3=24√3/3=8√3
sin30=y/x
1/2=y/8√3
1/2×8√3=y
y=4√3
CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B
Answer:
I believe the answer is C. Use Desmos and plug in the equation y=-x-2
Step-by-step explanation:
What is the first step in evaluating the expression 6−(4÷2×5)2?
Step-by-step explanation:
Do
(4÷2×5)
first
.............
Anyone help with this one???
Answer:
translation left 5 units
Pls help math!!!!!!!
Brianna bought snacks for her team's practice. She bought a bag of
oranges for $2.63 and a 8-pack of juice bottles. The total cost before
tax was $16.07. Write and solve an equation which can be used to
determine x, how much each bottle of juice costs?
Answer:
$1.68
Step-by-step explanation:
The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68
Hope this help :)
help me pls!!!!!! which option
Answer:
Step-by-step explanation:
That x in the denominator has a power of 1 even if its not visually there. When you multiply exponents, you add them.
[tex]x^1*x^-^2=x^-^1[/tex]
Now you have this
[tex]x^-^6/x^-^1[/tex]
When you divide exponents, you subtract them
[tex]x^-^5 = 1/x^5[/tex]
A designer makes a model of a patio using inch square tiles. Each 1 inch square tile = 4
square feet. What area is represented by the 8 x 6 model?
96 square feet
]} in.
92 square feet
384 square feet
56 square feet
each žin. tile = 4 sq.ft.
Done-
Answer:
yes
Step-by-step explanation:
how far does the train go in 100 minutes
Answer: It definitely depends
Step-by-step explanation:
The drawing below represents a 22-foot ladder with its base placed 10 feet from the bottom of a vertical wall.
which value is the best estimate for x?
a.24.3
b.63.0
c.27.0
d.65.6
Answer:
63°
Step-by-step explanation:
To get the value of x we will use the Pythagoras theorem
hyp² = opp²+adj²
Given
hyp is the length of the ladder = 22ft
Adjacent is the distance from the base of the ladder to the wall = 10ft
Angle of elevation = x
Using the SOH CAH TOA identity
Cos theta = adjacent/hypotenuse
Cos x = 10/22
Cos x = 5/11
x = arccos(5/11)
x = arccos(0.4545)
x = 62.96°
Hence the best estimate of x is 63°
Solve the equation for y
y-2/3x= -6
y=
Answer:
y = -6 + 2/3x can I get brainliest?
Step-by-step explanation:
Just add 2/3x to both sides
y-2/3x=-6
+2/3. +2/3
cannot combine like term with number so..
y = -6 + 2/3x
Please Please Help ME!!! its so hard 50 points
Brainiest for correct answer.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
The low temperature in City A is -8°F. The low temperature in City B is -12°F Complete the statement below
Answer:
City B is 4 degrees colder than City A
Step-by-step explanation:
When in degrees negatives a much colder. So if the number is negative the higher the number the colder the tempeture.
Have a great day!
Hope this helps!
PLEASE MARK BRAINLIEST.
Solve the system by substitution. -8.x --- 3y -2x + 1 = y Submit Answer
Step-by-step explanation:
(-)*(-)*(-)
a. +
b. -
c. 0
pls help
Answer:
b. -
Step-by-step explanation:
Note the rules of multiply/dividing negative numbers:
1) A positive number multiplied/divided by a positive number = a positive answer.
2) A positive number multiplied/divided by a negative number (and vice versa) = a negative answer.
3) A negative number multiplied/divided by a negative number = a positive answer.
~
Note the question.
The first part is multiplying a negative number with a negative number:
(-) * (-) = (+) , based on the rules given above.
Next, multiply the next number. Note that it is also a negative number:
(+) * (-) = (-) , based on the rules given above.
b. - is your answer.
~
Which equation represents a line which is parallel to the line 7x - y = 4?
Answer:
Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.
7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.
Mean, Median, Mode and Range. Easy hard math. Please show work and give answers . Need help appreciate you all
Quiz Scores:
You and your friend are having a friendly competition about the scores on your math quizzes. Both of your scores for the first five quizzes are given below:
Your quiz scores: 18, 16, 19, 15, 17
Friend’s quiz scores: 20, 20, 13, 12, 17
a. Find the mean, median, and mode of both sets of data.
b. Which person – you or your friend – has the higher mean?
World Populations:
The populations (in millions) in 2000 on each of the six inhabited continents were:
803, 487, 348, 368, 730, and 31
a. What is the range of the populations?
b. Find the mean, median, and mode(s) of the populations.
Tomato Plants:
The heights (in inches) of eight tomato plants are:
36, 45, 52, 40, 38, 41, 50, and 48
a. What is the range of the tomato plant heights?
b. Find the mean, median, and mode(s) of the tomato plant heights.
Answer:
:)
Step-by-step explanation:
quiz scores:
a. arrange them all from least to greatest to figure out the median first
your quiz: 15, 16, 17, 18, 19 middle # = 17 median = 17
friend's quiz: 12, 13, 17, 20, 20 middle # = 17 median = 17
now for mean add all of your quiz scores up and divide by how many #s
15 + 16 + 17 + 18 + 19 = 85 / 5 = 17 mean = 17
now your friend's:
12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4 mean = 16.4
mode is which number is used the most
your mode = you don't have a mode your friend's mode = 20
b. you have a higher mean than your friend
world populations:
a. range is to subtract the smallest number from the largest
803 - 31 = 772
b. mean is adding it all up and dividing by how many numbers there are:
803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17
median is arranging them in order and finding the middle #
31, 348, 368, 487, 730, 803
368 + 487 = 855 / 2 = 427.5
mean = 461.17
median = 427.5
mode = no mode
tomato plants:
a. range is subtracting the smallest from the largest
52 - 36 = 16
b. mean is adding all the #s and dividing by how many #s there are:
36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75
median is the middle from least to greatest
36, 38, 40, 41, 45, 48, 50, 52
41 + 45 = 86 / 2 = 43
mean = 43.75
median = 43
mode = no mode
hope this helps! :)
Please help me asap!!
Answer:
the second one ( - 3, -6)
Step-by-step explanation:
I used the method of substitution
Answer:
(-3, -6)
Step-by-step explanation:
The ratio of white mice to gray mice for sale at the pet store is 5 to 2. There are 24 grey mice. What is the total number of mice for sale at the pet store?
F.62 H.210
G.150 J.84
Answer:
the ratio of black mice*
Step-by-step explanation:
I need help solving these two questions
3x-5x=0
x-5x=-10
Answer:
x=0 and x=5/2
Step-by-step explanation:
Combine like terms.
-2x=0
x=0/-2
x=0
-4x=-10
x=-10/-4
x=5/2
Need help due in 10 mins pls
What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2
Given:
The inequalities are:
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
To find:
The integer values that satisfy both inequalities.
Solution:
We have,
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
For [tex]-2<x<3[/tex], the possible integer values are
[tex]x=-1,0,1,2[/tex] ...(i)
For [tex]-2\leq x<2[/tex], the possible integer values are
[tex]x=-2,-1,0,1[/tex] ...(ii)
The common values of x in (i) and (ii) are
[tex]x=-1,0,1[/tex]
Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
Deja, Ryan, and Jamie walked in the same race on Friday. their race was 1/4 the length of Alex's 20-kilometers race on Sunday. How many more meters did Alex than Deja and Jamie walked together.
1 kilometer=1,000 meters
Answer:
Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km
Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m
Step-by-step explanation:
Find the measure of each interior angle.
Answer:
d) m<J = 115, m<K = 130, m<M = 50, m<N = 65
Step-by-step explanation:
The sum of interior angles in this rectangle is equal to 360
if we add all the given angles 7x + 10 = 360 subtract 10 from both sides
7x = 350 divide both sides by 7
x = 50 to find the measure of each angle replace x with 50
A semicircle was cut from a square sheet of blue construction paper . What is the area of the remaining blue construction paper as seen in the figure? (Do not include units)
Answer:
60.73cm
Step-by-step explanation:
10cm=diameter so raduis of circle=5cm
area of full circle=78.5398...
area of semicircle=39.2699...
area of square=100cm
100-39.26990817=60.73 cm
√180m^2
I have to solve this using perfect squares, is anyone familiar with those?
Given:
The expression is
[tex]\sqrt{180m^2}[/tex]
To find:
The value of the given expression by using the perfect squares.
Solution:
We have,
[tex]\sqrt{180m^2}[/tex]
It can be written as
[tex]=\sqrt{2\times 2\times 3\times 3\times 5\times m^2}[/tex]
[tex]=\sqrt{(2)^2(3)^25m^2}[/tex]
[tex]=\sqrt{(2\times 3\times m)^25}[/tex]
[tex]=\sqrt{(6m)^25}[/tex]
[tex]=6m\sqrt{5}[/tex]
Therefore, the value of given expression is [tex]6m\sqrt{5}[/tex].
Jason has 34 raspberry scones and 51 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can fill? Explain how you know.
Answer: The greatest number of bags Jason can fill = 17
Step-by-step explanation:
Given: Jason has 34 raspberry scones and 51 blackberry scones.
To make identical bags of scones as possible.
Each bag should have an equal number of raspberry scones and an equal number of blackberry scones.
The greatest number of bags Jason can fill = Greatest common divisor of 3
and 51.
= 17 [Since 34 = 2 x 17 , 51 = 3 x 17]
Hence, the greatest number of bags Jason can fill = 17
Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)
Answer:
160 feet
Step-by-step explanation:
In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:
5,280 (the number of feet in 1 mile) / 33
5,280/33=160
The posts are 160 feet apart from each other.
HTH :)