Answer:
A. 112.5°C
Step-by-step explanation:
Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]
Replace y with T, and replace x with V:
T = [tex]\frac{k}{V}[/tex]
Plug in 90 as T and 25 as V, then solve for k:
T = [tex]\frac{k}{V}[/tex]
90 = [tex]\frac{k}{25}[/tex]
2250 = k
So, the equation is T = [tex]\frac{2250}{V}[/tex]
Plug in 20 as V and solve for T:
T = [tex]\frac{2250}{V}[/tex]
T = [tex]\frac{2250}{20}[/tex]
T = 112.5
So, the temperature will be A. 112.5°C
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answer:
40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28
Step-by-step explanation:
multiple the price by 1.40
hopefully this helped :)
Answer:
$28
Step-by-step explanation:
We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.
40/100 = 0.4.
Next, we multiply 20 by 0.4 to find the extra price:
20 * 0.4 = 8
So, the answer is 20 + 8 = $28
We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28
Hope this answer helps you :)
Have a great day
Mark brainliest
Solve this equation
2 . B - 19 = -11
Answer:
B=8
Step-by-step explanation:
you add 19 to both sides of the equation to get B by itself.
[tex]B=-11+19\\B=8[/tex]
answer:
8,
reason
11+8=19
alalalalalalalaalalalalal
20character minimum^
guys please help me i cant solve this logarithmic equation
Answer:
Step-by-step explanation:
I'll just write log for log base 10. The important rules about logarithms we need to know are:
[tex] a \log b = \log( b^a) [/tex]
[tex] \log a + \log b = \log( ab) [/tex]
and at the end we'll need something like
[tex]\log a = \log b \implies a=b[/tex]
Suitably armed we can begin,
[tex] \left( 1 + \dfrac{1}{2x} \right) \log 3 + \log 2 = \log (27 - 3^{1/x}) [/tex]
First rule,
[tex] \log 3^{ 1 + 1/2x} + \log 2 = \log (27 - 3^{1/x}) [/tex]
Second rule,
[tex] \log 2(3^{ 1 + 1/2x}) = \log (27 - 3^{1/x}) [/tex]
Third rule,
[tex] 2(3^{ 1 + 1/2x}) = 27 - 3^{1/x} [/tex]
We can rewrite this to be a quadratic equation in [tex]y=3^{1/2x}[/tex].
[tex] 6 (3^{1/2x}) = 27 - (3^{1/2x})^2 [/tex]
[tex]y^2 +6y - 27 =0[/tex]
[tex](y - 3)(y+9)=0[/tex]
[tex]y=3 \textrm{ or } y=-9[/tex]
First solution:
[tex]3^{1/2x} = 3 = 3^{1}[/tex]
[tex]1/2x = 1[/tex]
[tex]1=2x[/tex]
[tex]x = 1/2[/tex]
Second solution,
[tex]3^{1/2x} = -9[/tex]
No real powers of 3 will be negative, no solution here.
Answer: x=1/2
Check:
1 + 1/2x = 2 so the left side is log 2(3²) = log 18
Right side, log(27-3^2) = log 18 √
Two points from the line of best fit can be used to find the slope of the line, which can be used to find the equation of the line. True or false?
Answer:
The statement is true.
Step-by-step explanation:
Let the two points are (x', y') and (x'', y'').
The equation of line passing through the two points is
[tex](y - y')=\frac{y''-y'}{x''-x'}\times (x - x')[/tex]
So, it is true to find the equation of line when the two points is given.
A square prism has a height of 16 centimeters and a volume of 784 cubic centimeters. What is the length in centimeters of each side of the square base
Answer:
7cm
Step-by-step explanation:
Volume of a prism = base area x height
base area = area of a square = length²
784 = length² x 16
divide both sides of the equation by 16
length² = 784/16
length² = 49
find the square root of both sides
length = 7
A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?
when a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hold if it is full
full answers please no fake answers if answer correctly i will give you brainlist
Answer:
40 L
Step-by-step explanation:
20% empty is the same as 80%full
.8f = .2f + 24
subtract .2f from both sides
.6f = 24
divide both sides by .6
f = 40
What are the coordinates of the point that is 2/5
of the way from A(-4,-2) to B(11,-2)?
Answer:
brainllest f right
a
Step-by-step explanation:
For Circle A, if the measure of BDC=20 and the measure of BDC=4x-12, then what is the value of X??
Hey can someone help with this? It’s Khan Academy
Aka suffering.
Thanks.
-Tornado
Answer:
3n+3
hope it helps
Pls I need help with this
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
What is the value of m in the equation {m-án=16, when n = 8?
A 20
B 32
C 44
D 48
Answer:
32
Step-by-step explanation:
m-án=16, when n = 8
the point slope equation of a line is
Step-by-step explanation:
Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
determine the equation of the circle graphed below
( help please )
9514 1404 393
Answer:
(x +2)^2 +(y -5)^2 = 9
Step-by-step explanation:
The circle shown has a radius of r = 3 and a center at (h, k) = (-2, 5).
The equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
For the given center and radius, the equation is ...
(x +2)^2 +(y -5)^2 = 9
Simplify the expression. (–8.6)0
1
–1
–8.6
0
Answer:
(-8.6)0
= 0
explanation:
A club with 13 members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
Answer:
njj
Step-by-step explanation:
Which of the following number patterns uses the rule below
Each number in the pattern is four times the previous number
A.6,24,48,72
B.7,21,63,189
C.5,20,80,320
D.4,20,100,500
DO NOT ANSWER IF YOUR NOT AT ACE LEVEL
The answer to the question is C. 5,20,80,320
Step-by-step explanation:
5*4=20
20*4=80
80*4=320
Mía ha comprado un terreno en el emporio de Gamarra.
Si desea destinar la mayor superficie rectangular posible del terreno para colocar su maquinaria, ¿cuánto mide la superficie del terreno que queda disponible para otros ambientes?
Un reto para obtener el Logro destacado:
Mía desea comprar un segundo terreno, esta vez de forma rectangular, cuya área sea de 650 m2 y para ello evalúa las posibles dimensiones que puede tener dicho terreno. Si quiere gastar lo menos posible en cercar el terreno, ¿cuáles deben ser sus dimensiones? (Considera como medida de las dimensiones solo números enteros) (Cercar es rodear un terreno, con una cerca, valla, muro, etc., para delimitarlo.)
Answer:
mkana
Step-by-step explanation:
A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?
Answer:
134.16 yards or 134.2 if you round to the nearest tenth
Step-by-step explanation:
Using the formula a^2+b^2=c^2
120^2+60^2=c^2
18000=c^2
the square root of 18000 is around 134.16.
Help please i forgot the options on the last one sorry
Hi there!
»»————- ★ ————-««
I believe your answer is:
The x-intercept of the graph is -7. (or (-7, 0). )
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope for the line:}}\\\\m = \frac{8-0}{1-(-7)}\\\\m = \frac{8}{8}\\\\\boxed{m = 1}[/tex]
⸻⸻⸻⸻
Option B is a false statement.
⸻⸻⸻⸻
We can tell with the point (-7,0) that the 'x' intercept of the function is -7.
⸻⸻⸻⸻
The line does not pass (7,0), making option C a false statement.
⸻⸻⸻⸻
The line also does not pass (-1, -8), making option D a false statement.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer for points
3(3x3)(45x6)(45x7)(56x5)(5x5)x0
Answer:
0
Step-by-step explanation:
3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 1/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
Answer:
Find the volume of this prism.
Answer:
24% or d
Step-by-step explanation:
please help me i am in need of serious help or ill flunk :(
co.op
interest = principle * rate * time in years
8000*0.09*1= 720$
total owed =
principle + interest
8000+720= 8720$
bank
interest = principle * rate * time in years
interest = principle * rate * time in years8000*0.06*1= 480$
principle + interest
8000+480= 8480$
......
6)
Bank A
interest = 1500*2*0.18= 540$
total owed = 1500+540= 2040$
Bank B
compound interest =
1500(1+0.12)^2
compound interest= 1881.6
total owed = 1500+1881.6= 3381.6$
she should choose Bank A less total owed
she'll have to pay the bank 2040$
1 of 5
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many
students are girls?
Answer:
15 girls
Step-by-step explanation:
[tex]\frac{4}{3}[/tex] has 7 per "unit group" 35/7 = 5
so the ratio would be [tex]\frac{20}{15}[/tex]
the question states ratio is [tex]\frac{boys}{girls}[/tex]
thus 20 boys , and 15 girls
Please help, the question is in the picture.
Step-by-step explanation:
answer is first option,,,
Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%
Answer:
Amount of simple interest in three year = 750
Step-by-step explanation:
Given:
Amount invested = 5,000
Number of year = 3 year
Rate of interest = 5% Annually
Find:
Amount of simple interest in three year
Computation:
Simple interest = (P){R)(T)
Amount of simple interest in three year = (5,000)(3)(5%)
Amount of simple interest in three year = (5,000)(3)(0.05)
Amount of simple interest in three year = (5,000)(0.15)
Amount of simple interest in three year = 750
-14=x+12 solve for x
Answer:
x= -26
Step-by-step explanation:
-14 = x + 12
x = -14-12
x= -26
Answer:
X = -26
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
What is the equation for a parabola if the vertex is at (5,4) and goes through the point (3,-8)
Answer:
[tex]y=-3(x-5)^2+4[/tex]
Step-by-step explanation:
Hi there!
Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:
[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value
1) Plug the vertex into the equation
[tex]y=a(x-h)^2+k[/tex]
Plug in the vertex (5,4)
[tex]y=a(x-5)^2+4[/tex]
2) Solve for a
[tex]y=a(x-5)^2+4[/tex]
Plug in the given point (3,-8) and solve for a
[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]
Subtract 4 from both sides
[tex]-8-4=4a+4-4\\-12=4a[/tex]
Divide both sides by 4
[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]
Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:
[tex]y=-3(x-5)^2+4[/tex]
I hope this helps!
In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter.
Answer:
The length of the third side is approximately 193.14 cm
Step-by-step explanation:
The given dimensions of the sides of triangle ΔVWX are;
X = 160 cm
V = 150 cm
The measure of the included angle, m∠W = 77°
By cosine rule, we have;
w² = v² + x² - 2·v·x·cos(W)
∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35
∴ The length of the third side, w = √37,302.35 ≈ 193.14
The length of the third side, w ≈ 193.14 cm
Recall what you know about similarity. If circle B is similar to circle A, what must exist?
The similarities of two circles is dependent on the radius of circle A and circle B. So the radius of both circles must exist for the circles to be similar.
Given that:
Circles A and B
To prove the similarities of the two circles, the radius of both circles must be known.
Assume the radius of circle A is [tex]r_A[/tex] and the radius of circle B is [tex]r_B[/tex].
The similarity of both circles is proved using:
[tex]r_A = k * r_B[/tex]
or
[tex]r_B = k * r_A[/tex]
where k represents the scale of dilation
Hence, the radius of both circles must exist for the circles to be similar.
Read more about circle similarities at:
https://brainly.com/question/403891