Answer:
7
Step-by-step explanation:
Given expression:
4x + 2y = 36
coordinates = (a,4)
Solution:
From the given coordinates;
x = a
y = 4
4x + 2y = 36
Substitute for the values and find "a"
4a + 2(4) = 36
4a + 8 = 36
4a = 36 - 8
4a = 28
a = 7
The solution is 7
solve the inequality p + 4 ≥ -10
Answer:
p ≥ -14
Step-by-step explanation:
Subtract 4 from both sides.
-10 - 4 = -14
This could also be written as -10 + (-4)
p ≥ -14
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help pls ?? anyone ?? :(
7. yes
8. yes
9. no
10. no
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.
Answer:
Average speed = 3.17 km/h and Average velocity = 1.5 km/h
Step-by-step explanation:
It is given that,
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
Average speed = distance/time
Distance = 7km + 2.5 km = 9.5 km
Time = 2 h + 1 h = 3 h
Average speed,
[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]
Average velocity = displacement/time
Displacement = 7 km +(-2.5 km) = 4.5 km
Average velocity,
[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]
So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.
2÷5 × -4 what Is the answer please?
Answer:
-1 3/5
Step-by-step explanation:
2÷5 × -4
Work from left to right
2/5 * -4
-8/5
-1 3/5
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?
Answer:
-1
So the answer would be (-1, 2)
Hopefully, this is correct, sorry if not.
Worth 30 points.
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
the square root of x minus 3 plus five equals x.
Picture of question and equation attached.
Answer:
x=7 valid solution
x=4 extraneous solution
Step-by-step explanation:
sqrt( x-3) +5 = x
Subtract 5 from each side
sqrt( x-3) +5 -5= x-5
sqrt( x-3) = x-5
Square each side
(sqrt( x-3))^2 = (x-5)^2
Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25
x-3 = x^2 -10x+25
Subtract x from each side
-3 = x^2 -10x -x+25
Add 3 to each side
0 = x^2 -11x +25 +3
0 = x^2 -11x+28
Factor
0 = (x-7)(x-4)
Using the zero product property
x-7 =0 x-4=0
x=7 x=4
Check the solutions
sqrt( x-3) +5 = x
x=7
sqrt( 7-3) +5 = 7
sqrt(4) +5 = 7
2 +5 = 7 valid solution
x=4
sqrt( 4-3) +5 = 4
sqrt(1) +5 = 4
1 +5 = 4 not true extraneous solution
Consider the pairs of ratios given and determine whether or not the ratios form a proportion 8 old rings for every 1 ring 16 old rings for every 2 rings A) Yes B) No Save
Answer:
b
Step-by-step explanation:
The total cost after tax to repair Deborah's computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.
Answer:
0.09(60h)
Step-by-step explanation:
The part that represents the tax is 0.09.
This is because, we can rewrite the sum as;
Amount of tax + Total cost for the number of hours
Now, the amount of tax can only be a percentage of the total
We can write 0.09 as 9/100
This can be interpreted as 9% of the total amount
So therefore we can rewrite the amount as;
9% of 60h + 60h
So the part that represents the amount of tax Deborah has to pay is 0.09(60h)
4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5
Answer:
c
Step-by-step explanation:
c
Find the arc length
Answer:
5π
Step-by-step explanation:
Arc length = 1/4 * circumference
Circumference = 2*pi*r = 2*pi*10 = 20pi
Arc length = 1/4 * 20pi = 5pi
5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes
The Value of x and y are (x,y) = (7,3).
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
GIven equations are :
5x - 2y= 26.....(1)
y + 4 = x..........(2)
Solve by substitution :
substitute equation 2 in equation 1 and solve for y
5x - 2y= 26
5(y+4) - 2y = 26
5y + 20 -3y = 26
2y = 26 - 20
2y = 6
y = 3
now, the value of x will be :
x = y + 4
x = 3+4
x = 7
Therefore, The Value of x and y are (x,y) = (7,3).
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Help me with this it is hard
Answer:
the third choice is the correct one because if you 3 ÷ 8 = 0.375. 0.375 × 100 = 37.5%
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
$1000, 2%, 9 months what is the simple interest
Answer:
principal =1000
time=9
rate=2%
or simple interest = p×t×r/100
= 1000×9×2
=Rs.18000
Answer:
$180
Step-by-step explanation:
Turn 2% to 0.02 then make the formula
1,000*0.02*9=180
Angle 1 is 50°. Which angle is also 50°?
(A) Angle 2
(B) Angle 3
(C) Angle 4
(D) No other angle will measure 50°.
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe
Answer:
-140 = x
Step-by-step explanation:
Answer:
-140 =x
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality
Answer:
Division property of equality
Step-by-step explanation:
Consider the equation and its solution. 8 (x minus 2) = 64.
8 x minus 16 = 64.
8 x = 80.
x = 10.
Which property is used in the last step to find that x = 10
The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY
The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another
Let c be the integer greater than zero
ac = bc
Divide both sides by c
a = b
From the above question
8 x = 80
This is also written as:
8x = 8 × 10
Division property of equality
Divide both sides by 8
Hence,
x = 10
Answer:
division property of equality
Step-by-step explanation:
since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.
Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?
Answer:
15%
Step-by-step explanation:
if u did the 216 divided by the 18 then that's how u get estimated number
what is the average rate of change
y - 3 = -12 (x + 4)
Answer:
[tex] - 12x[/tex]
Step-by-step explanation:
[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]
Thr answer is the slope.
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
The average rate of change of a function f ( x ) over the interval [ a , b ] is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]f(x)=\frac{3}{x-2}[/tex]
and [tex][a,b]=[4,7][/tex]
[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]
[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]
The rate of change is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]
[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]
12) Which name we can give to these triangle
Answer:
The first one is isosceles and the second one is scalene.
This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.
Answer:
obtuse triangle and scalene triangle (sana nakatulog sayo)
Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12
For the following right triangle, find the side length x.
Answer: 37
Step-by-step explanation:
Use A squared plus b squared equals c squared.
1. 35 squared is 1,225.
2. 12 squared is 144.
3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?
Well the square root of 1,369, that's 37.
Y=9x+2x please help, i don't know how to
do this stuff
Answer: I hope you understand, just mutiply whatever x is by 11 to get Y
Step-by-step explanation:
x = unknown number
9x+2x= 11x
Y=11x
Use the graph to find the midpoint between O and H.
(4, -1)
(-2, 8)
(8, -2)
(-1, 4)
Answer:
(-1, 4)
Step-by-step explanation:
-5+3/2 = -1
6+ 2/2 = 4
(-1, 4)
Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?
Answer:
mark brainlest45
Step-by-step explanation:
in one hour she can make 9 ( 27 divided by 3)
so in 5 hours 45 bc 5x9 is 45
What is the slope of the line?
I NEED HELPP?!
Answer:
Slope of a line = rise/run
Your answer:
m = 8/5
(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.
Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math
Answer:
Company B
Step-by-step explanation:
Given. That :
Company A:
Initial charge = $215
Charge per square foot = 0.50
Company B:
Initial charge = $100
Charge per square foot = 0.75
Which company if installing 400 square feet of carpet :
Company A:
Total bill:
$215 + 0.50(400) =$415
Company B:
Total bill:
$100 + 0.75(400) = $400
Hence, Company B will be a better option as the total cost is cheaper than company As cost.
Mrs adeolu spent 1/4 of her monthly income at a shopping mall 1/3 at a open market and 2/5 of the remaining amount at a mechanic workshop. if she had 225,000 naira left .
find her monthly income
find the amount spent at the open market
Answer: it's c
Step-by-step explanation:
Help!
A volcano on a discovered planet rises to a height of 19.529 mi.
Use the table of facts to find the height of the volcano in feet.
Round your answer to the nearest tenth.
Answer:
103, 110 ft
Step-by-step explanation:
a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=
Step-by-step explanation:
hope this helps you!! :))
The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
What is angle ?Angle is the space between two lines or surfaces that meet, and is measured in degrees.
So,
According to the question;
[tex]\angle x =65^0[/tex]
([tex]\angle x[/tex] is vertically opposite of the given angle [tex]65^0[/tex])
[tex]\angle y = 71^0[/tex]
(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)
We know that,
Sum of all angles of triangle is equals to [tex]180^0[/tex].
i.e.
[tex]x+y+z=180^0[/tex]
we have,
[tex]65+71+z=180[/tex]
[tex]z=180-136[/tex]
[tex]z=44^0[/tex]
So, the value of [tex]z[/tex] is [tex]44^0[/tex].
Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
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