Answer:
H = 625
Step-by-step explanation:
Given H varies directly as c³ then the equation relating them is
H = kc³ ← k is the constant of variation
To find k use the condition when H = 40, c = 2, then
40 = k × 2³ = 8k ( divide both sides by 8 )
5 = k
H = 5c³ ← equation of variation
When c = 5, then
H = 5 × 5³ = 5 × 125 = 625
PLEASE HELP AND SHOW WORK
Answer:
14) x = 6 and y = 8
15) x = -1 and y = 1
16) x = 7 and y = 10
Step-by-step explanation:
14) From the given parallelogram, we can say that;
PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.
Thus;
If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;
PT = TR
2x = y + 4
y = 2x - 4 - - - eq 1
Also;
QT = QS
x + 2 = y - - - eq 2
Put x + 2 for y in eq 1 to get:
x + 2 = 2x - 4
2x - x = 4 + 2
x = 6
Put 6 for x in eq 2 to get;
6 + 2 = y
y = 8
15) similarly from above;
x + 2 = y - - - eq 1
2x = y + 3
y = 2x + 3 - - - eq 2
Put 2x + 3 for y in eq 1;
x + 2 = 2x + 3
2x - x = 2 - 3
x = -1
Put -1 for x in eq 1 to gwt;
-1 + 2 = y
y = 1
16) similarly again;
y = x + 3 - - - (eq 1)
2y = 3x - 1 - - - (eq 2)
Put x + 3 for y in eq 2;
2(x + 3) = 3x - 1
2x + 6 = 3x - 1
3x - 2x = 6 + 1
x = 7
Put 7 for x in eq 1;
y = 7 + 3
y = 10
Thus, x = 7 and y = 10
50+2x=20+5x what does the variable x represent in the equation below
Answer:
x=10Step-by-step explanation:
[tex]50+2x=20+5x\\\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\\\50+2x-50=20+5x-50\\\\Simplify\\\\2x=5x-30\\\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\\\2x-5x=5x-30-5x\\\\Simplify\\\\-3x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\\\frac{-3x}{-3}=\frac{-30}{-3}\\\\Simplify\\\\x=10[/tex]
I need help asap pls
Answer:
[tex]\displaystyle 36° = m∠NQS[/tex]
Step-by-step explanation:
Apply the Midsegment Theorem:
[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]
I am joyous to assist you at any time.
What number is 115% of 106? (Show your work)
Answer:
121.9
Step-by-step explanation:
1% of 106 = 1.06
1.06 x 15 = 15.9
106 + 15.9 = 121.9
180° rotation
Pre rotation points
Answer:
whats the question???????????
Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?
please answer this question I would highly appreciate it if it was answered or looked on, please
Answer:
The correct answer would be C
Step-by-step explanation:
11.
Ummm...how do you do this?
Provide a problem and I'll give you an answer...
Factor 12a - 15b + 6
Answer:
Hi! The correct answer is 3(4a-5b+2)!
Step-by-step explanation:
~Factor 3 out of 12a-15b+6~
Answer:
3(4a- 5b + 2)
Step-by-step explanation:
Hope this helped!!! :)
Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?
Answer:
he downloaded 9 songs and 1 game
Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00
so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.
Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.
Answer: the equation would be 8h=240
h=30
Step-by-step explanation:
What is 36.6 – 24 x 2² ÷ 3
Answer:
36.6 - 24 × 4 ÷ 3 =
= 36.6 -96 ÷3 =
= 36.6 - 32 =
= 4.6
a new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year what will the value of the car be, to the nearest cent, after 15 years?
What is the equation in slope-intercept form of the line that passes through the
point (2,-2) and is perpendicular to the line represented by y = x +2?
Answer:
[tex]y=-x[/tex]
Step-by-step explanation:
The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.
Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].
Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:
[tex]-2=-1(2)+b, \\b=0[/tex]
Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].
Please help with the right answer 40 points
Answer:
if i remember is B
Step-by-step explanation:
Need a little help with this.
Answer:
a.) not like terms
b.) not like terms
c.) like terms ; 14 yards
Step-by-step explanation:
If 24 marbles have a mass of 60g what would be the mass of 60 marbles
Answer:
300 g
Step-by-step explanation:
First divide the mass of those 12 marbles (60 g) by the number of marbles which have 60 g mass (12 marbles). You'll get the answer as 5 g , which means 5 g is the mass of 1 marble. Now multiply the answer by 60 (specification of marbles). You'll have the answer as 300 g.
i.e.
60 / 12 = 5
5 x 60 = 300
Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.
Answer:
He earns $400 weekly and $57.14
Step-by-step explanation:
40*10 = $400
Which decimal is less than 0.47?
0.5, 0.64, 0.38, 0.9
Answer:
0.38
Step-by-step explanation:
I hope this helps you with your test :)
Answer:
0.38
Step-by-step explanation:
.38 is before .47
13. Which equation has real, rational, and unequal roots?
A) x2 + 10x + 25 = 0 B) 22 – 5x + 4 = 0
C) x2 – 3x +1=0 D) 22 – 2x + 5 = 0
Help
Answer:
is it 1 question or about four questions
100 points! Will mark brainliest! Only answer if u know it!
Answer:
y = - 2x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (- 3, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = - 2x - 10 ← equation of perpendicular line
Step-by-step explanation:
Hey there!
The 1st equation is;
y= 1/2 x-8.............(i)
Comparing the equation y= mx+c. We get;
Slope (m1) = 1/2
The equation of point which moves through point (-3,-4).
(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}
(y+4) = m2 (x+3)..………(ii)
Now, we need to find m2.
So, the condition of perpendicular lines: m1*m2= -1.
[tex] \frac{1}{2} \times m2 = - 1[/tex]
[tex]m2 = - 2[/tex]
Therefore, m2 = -2.
So, let's keep value of m2 in eqaution (ii).
y+4 = -2(X+3)
y+4 = -2x-6
y = -2x -10.
Therefore, the eqaution is y= -2x-10.
Hope it helps......
collect like terms 12m2,- a m, -4m2
Answer:
Step-by-step explanation:
( 3m + 2) (4m-3)
Helpppppp meee please
Answer:
7.25 and 7.20
Step-by-step explanation:
I calculated and got it correct
Answer:
a) $14.45 b) 1.45x+1.2y
Step-by-step explanation:
5*1.45+6*1.2=14.45
Will give brainliest
Answer:
I hope someone can help you :)
Step-by-step explanation:
BTW I can't see the image its white for me :( Sorry
Pls
Help!!!!!
Directions: Find all missing angles.
Answer:
m<1 = 87°
m<2 = 45°
m<3 = 45°
m<4 = 52°
Step-by-step explanation:
Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.
So, angles 2 and 3 equal 45°.
Now that we have two angle measures, we can find the measure of the third angle.
45 + 48 = 93°
180 - 93 = 87°
Angle 1 equals 87°.
45 + 83 = 128°
180 - 128 = 52°
Angle 4 equals 52°.
Hope that helps.
If the original quantity is 14 and the new quantity is 22, which of these is the best estimate for the percent of change?
A 25% increase
B 100% increase
C 75% increase
D 50% increase
can someone explain the meaning of surface area and give me an example of it is
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies. ... Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.
HELP!!!!!!! Solve the equation |x-1|+3=2
please answer this question i will give brainliest!
Answer:
b is the right answer bc all the others r wrong
can someone help me and tell me how I got it wrong?
Answer:
You put i at the end.
Step-by-step explanation:
The correct answer is u^5 remove the i.