Answer:
[tex](4,5)\ or\ x=4,y=5[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\[/tex]
[tex]Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)[/tex]
Answer:
The solution of the system of equations will be:
[tex]y=5,\:x=4[/tex]
Step-by-step explanation:
Given the system of equation
[tex]\begin{bmatrix}y=2x-3\\ y-9=-x\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-2x=-3\\ y+x=9\end{bmatrix}[/tex]
so
[tex]y+x=9[/tex]
[tex]-[/tex]
[tex]\underline{y-2x=-3}[/tex]
[tex]3x=12[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}y-2x=-3\\ 3x=12\end{bmatrix}[/tex]
solve 3x=12 for x
[tex]3x=12[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
[tex]x=4[/tex]
[tex]\mathrm{For\:}y-2x=-3\mathrm{\:plug\:in\:}x=4[/tex]
[tex]y-2\cdot \:4=-3[/tex]
[tex]y-8=-3[/tex]
Add 8 to both sides
[tex]y-8+8=-3+8[/tex]
[tex]y=5[/tex]
Thus, the solution of the system of equations will be:
[tex]y=5,\:x=4[/tex]
given the equation ax + b = 9x + 21 which set of values for a and b would result in an equation with infinity many solutions
a = 3,b = 7
a = 9, b = 9
a = 9, b = -21
a = 9, b = 21
Answer:
D. a = 9, b = 21Step-by-step explanation:
Given the equation
ax + b = 9x + 21For the equation to have infinitely many solutions, both sides of the equation should be same.
a = 9 and b = 21 will make both sides equalCorrect option is D
Which of these does NOT represent the number of minutes in a hour?
Answer:
the question is cut in half
This scatter plot and line of best fit show the relationship between the height and the mass of 15 different dog breeds. The circled point in the scatter plot corresponds to the Afghan Hound. What conclusion can be drawn about the predicted mass and the actual mass of the Afghan Hound?
Answer:
The mass of the Afghan Hound is exactly what is predicted by the line of best fit.
Answer:
no clue i came to recieve answers
Step-by-step explanation:
X varies directly with y. If x is 24 when y is 36, find x when y is 132.
equation:_________
x=_________
Step-by-step explanation:
x = ky, where k is a real constant.
When y = 36, x = 24.
=> (24) = k(36), k = 2/3.
Hence x = (2/3)y.
When y = 132, x = (2/3)(132) = 88.
Answer:
see explanation
Step-by-step explanation:
Given x varies directly with y then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 24 when y = 36, then
36 = 24k ( divide both sides by 24 )
1.5 = k
y = 1.5x ← equation of variation
When y = 132, then
132 = 1.5x ( divide both sides by 1.5 )
x = 88
Ralph and Joe leave school walking in opposite directions. Ralph walks 1 km per hour faster than Joe. After 2 hours they are 30 km apart. What is the rate of each
Answer:
Joe's rate = 7 mph
Ralph's rate = 8 mph
Step-by-step explanation:
Give. That:
Joe's rate = x
Ralph rate = x + 1 kmph
Travel time = 2 hours
Hence, distance traveled = Speed * time
Joe's distance : 2 * x
Ralph's distance = 2 * (x + 1)
2x + 2(x + 1) = 30
2x + 2x + 2 = 30
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Joe's rate = 7
Ralph's rate = 7 + 1 = 8
Centimeter using decimal
63mm
Answer:
6.3cm
Step-by-step explanation:
10mm=1cm
63mm=?cm
(cross multiply)
?=(63mm×1cm)/10mm
?=6.3cm
100 points please helpp
Answer:
[tex]\textsf{C.} \quad C = \$10 + \$5h[/tex]
Step-by-step explanation:
Given information:
Admission fee to the Park = $10Fee for Sledding = $5 per hourGiven variables:
C = total cost (in dollars)h = time (in hours)The Park admission fee of $10 is independent of the fee charged per hour per sport. Therefore, it is represented by a constant in the equation.
The fee per hour of sledding is dependent on the number of hours spent. Therefore, it is represented by the cost of the specific sport multiplied by the given variable for time (h).
Therefore the equation that represents the cost of sledding per hour is:
C = $10 + $5h
[tex]\huge \boxed{\sf C}[/tex]
Each hour costs 5 dollars for sledding and an extra fee of 10 dollars.
[tex]\sf C = 5h + 10[/tex]
An equation contains variables and integers.
C and h are variables which means the value changes.
5 and 10 are integers.
WHAT IS THE RIGHT ANSWER? HELP PLS!
=============================================
Explanation:
If you graphed the equation 2x-5y = 14, you'll find it has a positive slope. It turns out the slope in this equation is 2/5, which is positive. A positive slope means the line goes uphill as you move from left to right. This means we can rule out choice because of this (since we want the line to slope downward).
Now let's turn to choice D. If we multiply both sides of the first inequality by -1, then we go from [tex]-2x-5y \le 14[/tex] to [tex]2x+5y \ge -14[/tex]. Note the inequality sign flips. This always happens when we multiply both sides by any negative number. The inequality [tex]2x+5y \ge -14[/tex] implies that the shaded region will be above the boundary line, but this contradicts the drawing which shows the shaded region is below the diagonal boundary line. We can rule out choice D because of this. Choice A can be ruled out for similar reasoning.
You should find that only choice B is left. The diagonal line is 2x+5y = 14, and we shade below this boundary line, as well as shading to the right of the y axis (to indicate all values have positive x coordinates). Values on the boundary count as solution points as well.
please help I'm in a rush, will give brainliest for a good answer!
Answer:
The value of x is 4.
Step-by-step explanation:
From the image uploaded, line BC is parallel to line AD and 15 is the mid-segment.
The mid-segment of a trapezoid is calculated as;
[tex]15 = \frac{|BC| \ + \ |AD|}{2} \\\\15 = \frac{2x \ + \ (3x\ +\ 10)}{2} \\\\15 = \frac{2x \ + \ 3x \ + \ 10}{2} \\\\15 = \frac{5x \ + \ 10}{2} \\\\5x \ + \ 10 = 2(15)\\\\5x \ + \ 10 = 30\\\\5x = 30 -10\\\\5x = 20\\\\x = \frac{20}{5} \\\\x = 4[/tex]
Thus, the value of x is 4.
find the slope of the line graphed below
Answer:
To find the slope of a line, we need to know the slope formula. The slope formula is:
m = , with m being the slope and (x₁, y₁) being the coordinates of one point and (x, y) being the coordinates of the other. Now we can substitute the values of the points in our problem ( (-1,-1) and (1, -4) ) into the slope formula. Substituting, we get:
=
==
=-1.5
That means the slope of our line is -1.5
Step-by-step explanation:
Determine the value for the trigonometric expression. Give an exact answer in degrees. Hint: Consider only the principal value of an inverse trigonometric function. Cos(Ta * n ^ - 1 - (sqrt(3))/3)
Answer:
√3/2
Step-by-step explanation:
We are to find the exact value of the expression below
Cos(Tan^- 1 - (sqrt(3))/3)
Evaluate the one in bracket first
Tan^-1√3/3 = 30°
Cos(Tan^- 1 (sqrt(3))/3) = Cos30°
Now find cos30°
cos30° = √3/2
Hence the value for the trigonometric expression is √3/2
What is the area of a square with a side of 7?
Answer:
49
Step-by-step explanation:
Formula for the area of a square is S^2
Plug 7 into the formula
7^2 = 49
What is 3\11 converted to a decimal and rounded 3 decimal places
Answer:
0.273 (Approx)
Step-by-step explanation:
Given:
3/11
Find:
Converted to decimal (rounded 3 decimal)
Computation:
⇒ 3/11
⇒ 0.272727
0.273 (Approx)
The value of 3/11 rounded 3 decimal places will be 0.273.
Given that:
Fraction number = 3/11
The decimal number is the combination of an integer number and part of a rational number. The rational number is greater than zero but less than one.
Convert the fraction number into a decimal number. Then we have
⇒ 3/11
⇒ 0.2727
⇒ 0.273
More about the decimal number link is given below.
https://brainly.com/question/4708407
#SPJ6
Which of the following equations is equivalent to 30 + 10(x - 20) = 5? А 40x - 20 = 5 B 40x - 800 = 5 10x – 10 = 5 D 10x – 170 = 5 ©2021 Illuminate Education, Inc.
Answer:
B
Step-by-step explanation:
30 + 10 (x - 20) = 5
you cant add the numbers in the parenthesis so you add the first two numbers and distribute.
40 (x - 20) = 5
40x - 800 = 5
Use the Distributive Property to expand -3 (8x - 4).
PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS
Answer:
Step-by-step explanation:
1) phone
38.95 = 0.03 * mins + 29.95
9.00 = 0.03 * mins
9.00 /0.03 = mins
300 = mins
so he used 300 minutes :)
2) books
8.70 =14 * bookPrice + 2.40
6.30 = 14 * bookPrice
6.30 / 14 = bookPrice
0.45 = bookPrice
each book cost 45 cents :)
Equal to the opposite of -45
Answer:
45 or 1/45
Step-by-step explanation:
not sure
For a=3 simply a2 +5a +4 and a2 -5a
Answer:
[tex]a2 + 5a + 4 \: \: when \: a = 3 \\ = (3)2 + 5(3) + 4 \\ \\ = 6 + 15 + 4 \\ = 25[/tex]
[tex]a2 - 5a \: \: when \: a = 3 \\ = (3)2 - 5(3) \\ = 6 - 15 \\ = - 9[/tex]
Trey wants to take a European vacation in 3 years. He estimates the cost to be $10,000.
About how much must he save monthly in an account that pays 4% interest, compounded monthly, to have enough money for the vacation?
Answer:
Monthly deposit= $262.062
Step-by-step explanation:
Giving the following information:
Future value= $10,000
Number of periods= 12*3= 36 months
Interest rate= 0.04/12= 0.0033
To calculate the monthly deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (10,000*0.0033) / [(1.0033^36) - 1]
A= $262.062
grams of fish
number of calories
1000
2001
Enter the missing values in the boxes below.
b=0
Answer:
♂️ but if you know please answer
Answer:
12344567891011121314151617181920
Step-by-step explanation:
12344567891011121314151617181920
Complete the square 8-2x^2
Answer:
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
2
and
b
=
x
.
2
(
2
+
x
)
(
2
−
x
)
Step-by-step explanation:
A sweater costs $36. If the sweater is 35% off how much is the total?
Write the equation of a line
that passes through: (0, 2) and (-1, 1)
Answer:
y = x + 2
Step-by-step explanation:
slope = Δy / Δx = (1-2) / (-1 - 0) = 1
pass (0,2): y intercept = 2 b=2
y = mx + b
equation: y = x + 2
2
A small business collected data each month to find out if money spent on advertising
affected the total sales for the company. The table shows the data collected over
several months.
Total Sales
Money Spent on
Advertising ($)
200
250
1,500
1,505
1,600
1,650
260
300
350
1,700
450
1,825
525
1,875
What is the correlation coefficient between money spent and total sales?
Answer:
Step-by-step explanation:
3
PLEASE HELP MEE!! I WILL GIVE BRAINLIEST TO AN ACCURATE EXPLANATION! (Look at the picture)
Answer:
6 gallons 54 fish
Step-by-step explanation:
is she has 12 gallons and in 2 minutes its gone at a steady rate then just divide 12 by 2 so 6 every minute
just 3 multiplied by 18 since hes adding 3 fish every day for 18 days so you could just do 3+3+3+3 for 18 or simpler 3x18
hope this helped
Answer: 6
Step-by-step explanation:
Kelly’s scores for the last seven quizzes are 92,77,83,80,97,88, and 78 what is her mean quiz score
Answer:
80
Step-by-step explanation:
80 is the main score I think.....
Answer:
85
Step-by-step explanation:
Add all of the numbers to get 595
Divide it by the amount of numbers
595/7
Which equals 85
Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and nine-tenths
Answer:
the estimation of the quotient is 7
Step-by-step explanation:
The computation of estimating the quotient is shown below:
It is given that the number is 27
After that the two-third would be divided by 3
And, then the nine-tenth
Based on the above information, the estimation of the quotient is
= 27 + 2 ÷ 3 ÷ 3 + 9 ÷ 10
= 27 + 0.67 ÷ 3 + 0.9
= 27.67 ÷ 3.9
= 28 ÷ 4
= 7
hence, the estimation of the quotient is 7
which is the better value 36 pictures for $8 or 24 pictures for $5
Answer:
24 pictures for $5
Step-by-step explanation:
To find out the better value, we have to find the price of a singular picture. To do this, we will divide each number by the amount of pictures.
For the first deal, 36 pictures cost $8, so 1 picture costs about $0.22.
For the second deal, 24 pictures cost $5, so 1 picture costs about $0.21.
Since the second deal costs less, it is a better deal.
Answer:
The best deal is 24 pictures for $5.
Step-by-step explanation:
In order to find out which price is better, we need to find the amount of pictures per dollar. This is also known as the unit rate.
36 ÷ 8 = 4.5 or 5 when rounded to the nearest whole number.
24 ÷ 5 = 4.8 or 5 when rounded to the nearest whole number.
However, since 4.8 is in fact higher than 4.5, the best deal is 24 pictures for $5.
Hope this helps! :D
You are painting all four walls of a shed. Each wall is a rectangle with a length of 14 feet and a height of 8 feet. A gallon of paint covers about 350 square feet. How many gallons of paint do you need in order to cover the walls? Write your answer as a decimal.
about gallons
Answer:
1.28 gallons
Step-by-step explanation:
Multiply 14 and 8 then multiply that by 4 for each wall. Divide that number by 350 to get the number of gallons
brainliest please
Mr. Robles has two kinds of fruit in his basket. The ratio of apples to oranges in the basket is 3:4. If there are 9 apples, how many pieces of fruit are in his basket? O A. 21 OB. 8 O C. 38 D. 12 SUBMIT
Answer:
The ratio of apples to oranges in the basket is 2:5.
Step-by-step explanation:
the answer is D
Step-by-step explanation:
Total fruit (apples + oranges ) = 125
only oranges = 7/25 of total fruit = (7/25)× 125
7×5= 35 (orange)
then only apples = 125 - 35 = 90
Answer:2:5