Answer: -4.1
Step-by-step explanation:
0.4 - 4.5 = -4.1
3 points
15. Metal A has a density of 2.4g/cm3 and Metal B has a density of 1.8
g/cm3. Their masses are combined in the ratio 2:3 to make metal C which
has a mass of 60 grams. Find the density of the metal C*
Answer:
The density of the metal C is 2 g/cm³
Step-by-step explanation:
The parameters of the two metals are;
The density of the Metal A = 2.4 g/cm³
The density of the Metal B = 1.8 g/cm³
The ratio in which their masses are combined to make the metal C= 2:3
The mass of the metal C, m = 60 grams
Let, 'x', represent the mass of the metal A in the 60 grams of the metal C and let 'y' represent the mass of the metal B in the 60 grams of the metal C
Let the ratio of the metals A and B in the metal C = x:y = 2:3
Therefore;
The mass of the metal A in the metal C, x = (2/(3 + 2)) × 60 g = 24 g
The volume of the metal A in the metal C, V₁ = (24 g)/(2.4 g/cm³) = 10 cm³
The mass of the metal B in the metal C, y = (3/(3 + 2)) × 60 g = 36 g
The volume of the metal B in the metal C, V₂ = (36 g)/(1.8 g/cm³) = 20 cm³
The volume of the metal C, V = V₁ + V₂ = 10 cm³ + 20 cm³ = 30 cm³
The density of the metal C = ρ = m/V
ρ = (60 g)/(30 cm³) = 2 g/cm³
The density of the metal C, ρ = 2 g/cm³
Divide x^2+7x+12 by x+3 using long division
The grade of a road is the ratio of its rise to its run and is usually given as a decimal or percent. Find the angle that this road makes with the horizontal ground if its grade is 14% (14/100 or 0.14)
Answer:
the angle would be 1/2 i did this problem before and got it correct
Step-by-step explanation:
Please help! Will mark brainliest if correct! Worth 20 points!
yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson has left after x days?
Answer:
30-2x
Step-by-step explanation:
yuson has to finish am total of 30 hours in community service
she does 2 hours each day
in x days, hour of service done=2x
after x days hours of service left=30-2x
therefore the linear equation representing the hours yuson has left after x days is:
30-2x
For the line above, what is the slope? *
Answer:
1
Step-by-step explanation:
Find the rise over run
Rise = 3
Run = 3
3/3 = 1
Slope = 1
Answer:
1
Step-by-step explanation:
First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1
Hope this helps
3x+y=-9
Y=5x+7
Solve the system of linear equations by substitution
Answer:
x=-2
Step-by-step explanation:
Substitute y=5x+7 into the equation 3x+y=-9
So you will have, 3x+5x+7=-9
3x+5x=8x
8x+7=-9
8x+7-7=-9-7
8x=-16
x=-2
Probably really annoying well please please please please please please help me
Answer:
What are the top 2 angle measures? i need it to answer.
a=80 (assuming the other 2 angle in that triangle are 55 and 45)
b=80 adjacent angles are equal
c=48
A skyrocket is launched from a 8-foot-high platform with an initial speed of 220 feet per second. The polynomial 16t^ ^ 2+220t+8 gives the height in feet that the skyrocket will rise in t seconds. How high will the rocket rise if it has a 7-second fuse?
The equation above is - 16t ^ 2 + 220t + 8
A) 748
B) 764
C) 788
D) 882
Given :
A skyrocket is launched from a 8-foot-high platform with an initial speed of 220 feet per second.
The polynomial -16t² + 220t + 8 gives the height in feet that the skyrocket will rise in t seconds.
To Find :
How high will the rocket rise if it has a 7-second fuse?
Solution :
Since, it is given that the rocket has a fuse time of 7 seconds.
Putting value of 7 sec in given equation, we get :
Height = -16×( 7 )² + 220×( 7 ) + 8
Height = 764 m
Therefore, height of rocket in 7 second fuse is 764 m.
Write the equation of a line that passes through the point (0, 3) and (-4, 11). *
Answer:
y = -2x + 3.
Step-by-step explanation:
The slope = (11-3)/(-4-0)
= 8/-4
= -2.
Using the point-slope form of a straight line:
y - y1 = m(x - x1)
Here m = -2 and (x1, y1) = (0,3). then
y - 3 = -2(x - 0)
y - 3 = -2x
y = -2x + 3.
WILL MARK BRAINLIEST HELP PLEASE
Answer:
7.) m = 1/3 ; b = -2.5
8.) m = 2 ; b = 2
Step-by-step explanation:
For m, either do the rise over run method or use 2 points and do (y2-y1)/(x2-x1).
For b, just look at the y-intercept/where it crosses the y axis
I believe those are the right answers but not too sure because the numbers on the graph are a bit blurry so i just assumed it counted by ones.
13x = 3(X-20) How to solve this algebra equation?
Answer:
x = -6
Step-by-step explanation:
13x = 3(x - 20) {Use distributive method:a(b+c)=(a*b) + (a*c)
13x = 3*x - 3*20
13x = 3x - 60 {Subtract '3x' from both sides}
13x -3x = -60
10x = -60 {Divide both sides by 10}
x= -60/10
x = -6
Which equation can be used to solve for x in the following diagram?
Step-by-step explanation:
B because the straight angle must be 180°
Suppose y varies directly as x, and y =16 when x=8. Find y when x=5
Answer:
y is 10 when x is 5
Step-by-step explanation:
x is always half of y, based on this we need to multiply x by 2 y is 10
Answer:
the answer is
{153}⅚⅞²±(2)9
The reason why the deaths and recoveries occurs so rapidly in the pandemic
Answer:
As time goes by the virus expands, and evolves causing more people to get infected. Although people who have made it before when the virus had affected them do not get affected by the evolved virus. People who have weak immune systems when infected die. Therefore, the reason thatthe deaths and recoveries happen to rappidly is because of the virus evolving, when some people are able to withstand it whilst others die.
Hope this helped.
5.
Solve the equation
15 - 4x = 2(3x + 1).
[tex]\huge\boxed{\ x=13/10 } :)[/tex]
My steps:
First thing we do is: Rearrange terms
15−4x=2(3x+1)−4x+15=2(3x+1)Second thing we do is: Distribute
−4x+15=2(3+1)−4x+15=6x+2Third thing we do is : Subtract 15 from both sides of the equation
−4x+15=6x+2−4x+15−15=6x+2−15Then you carry on and find solution:
x=13/10
Hope this help's!
Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate
Point $Y$ is on a circle and point $P$ lies outside the circle such that $\overline{PY}$ is tangent to the circle. Point $A$ is on the circle such that segment $\overline{PA}$ meets the circle again at point $B$. If $PA = 15$ and $PY = 9$, then what is $AB$? [asy] unitsize(2 cm); pair A, B, P, Y; Y = dir(130); A = dir(20); B = dir(180); P = extension(Y, Y + rotate(90)*(Y), A, B); draw(Circle((0,0),1)); draw(Y--P--A); label("$A$", A, E); label("$B$", B, SW); label("$P$", P, W); label("$Y$", Y, N); [/asy]
Answer:
48/5
Step-by-step explanation:
By power of a point on P, we have PB * PA = PY^2. Therefore,
PB = PY^2/PA = 9^2/15 = 27/5. Then AB = PA - PB = 15 - 27/5 = 48/5
what is the answerk of this 3
3х2
4ys
Answer:
33×2=66
4ys
Step-by-step explanation:
or is it 33×24ys=66ys
find domain and range of x²-9/x-3
Answer:
Step-by-step explanation: hope this helps :)
DOMAIN: (-INFINITY,0)
RANGE:(-INIFINITY,INFINITY)
Thor and Rusty bought snacks for a party. Thor bought 4 bags of chips and 3 bottles of soda for $10.52. Rusty bought 3 bags of chips and 2 bottles of soda for $7.61. How much did the bags of chips each cost? How much did the bottles of soda each cost?
Answer:
Chips= $1.79
Soda= $1.12
Answer:
chips: $1.79
soda: $1.12
Step-by-step explanation:
x = chips cost
y = soda cost
4x + 3y = 10.52
3x + 2y = 7.61
i used the elimination method by multiplying the first equation by -2
and the second equation by 3
-8x - 6y = 21.04
9x + 6y = 22.83
x = 1.79
solve for 'y':
3(1.79) + 2y = 7.61
5.37 + 2y = 7.61
2y = 2.24
y = 1.12
Use vertex (h, k) and a table of values g(x) = 2 * (x - 2) ^ 2 + 5
Step-by-step explanation:
Since the equation is in vertex form: a(x - h)² + k, we immediately know that the vertex is at (2, 5).
x | y
0 | 13
1 | 7
2 | 5
3 | 7
4 | 13
Answer:
Step-by-step explanation:
Comparing the given g(x) = 2(x - 2) ^ 2 + 5 to h(x) = a(x - h)^2 + k, we see that h = 2, k = 5, a = 2. Thus, the vertex is at (2,5). Several sample points on this graph are:
x y = g(x) (x, y)
2 5 (2, 5)
0 2(0-2)^2)+ 5 (0, 13)
1 2(1-2)^2 + 5 (1, 7)
3 2(3-2)^2 + 5 (3, 7)
and so on. Plot these are several more points and then draw a smooth curve through them. The graph will be a parabola with vertex (2, 5) that opens up.
9. A = Pe (rt) is the formula to calculate continuously compounded interest
O True
O False
2x²-19x+42 (Factor Completely)
[tex]\tt{} {2x}^{2} - 19x + 42[/tex]
[tex]\tt{} {2x}^{2} - 7x - 12x + 42[/tex]
[tex]\tt{}x \times (2x - 7) - 6(2x - 7)[/tex]
[tex]\tt{}(2x - 7) \times (x - 6)[/tex]
Please help asap it's pretty easy!!! Explain I will give brainliest if right!
Answer:
ABC
Step-by-step explanation:
If you could be anything other then what you are right now what would you be? Also 574÷4 (just so this dont get deleted -_-)
Answer:
a cat (143.5)
Step-by-step explanation:
Cats are my favorite animals and I envy the fact that they don't have to work and just sleep all day, so to be specific I would like to be one of the cats I own. And 574/4 is 143.5 because I used a calculator.
PLS HELP
how many solutions does this system of equations below have?
y=8x+4
y=8x+3
plz answer plz plzplz plz plz
Answer:
(x+2)(x+10)(x+1)
Step-by-step explanation:
Find the area of the regular shape in squared units
-24x^3y^2+16xy^3+12y^3
Answer:
4y^2 x (6x^3 - 4xy - 3y)
Step-by-step explanation:
Factor out -4y^2 from the expression