Complete question :
Ann, Brian and Carol share the cost of a car. Ann pays 2/5 of the cost, Brian pays 1/3 and Carol pays the rest.
a) What fraction of the cost does Carol pay?
b) Ann pays $1600 more than Brian. Find the total cost of the car.
Answer:
4/ 15
8000
Step-by-step explanation:
A)
Fraction carol paid :
Total fraction = 1/1
Fraction paid by Ann and Brian = (2/5 +1/3)
(2/5 + 1/3) = (6 + 5) / 15 = 11/15
1 - 11/ 15 = 4/ 15
Ann = 2/5 ; Brian pays 1/3
Ann pay 1600 more than Brian
2/5 - 1/3 = (6 - 5) = 1/5
1/5 of amount = 1600
If :
1/5 = 1600
1 = x
1/5x = 1600
x = 1600 ÷1/5
Total amount = 8000
Q1. A fluorescent lamp takes in energy from the electricity supply at the rate of 18 joules each second. It gives out 3 joules of energy as light each second.
a. How much energy does the lamp give out each second?
Answer:
15 joules
Step-by-step explanation:
SUBTRACT 3 FROM 18
18 JOULES-3 JOULES=15 JOULES
HOPE IT HELPS
Can someone help me with this ??
I AM BEING TIMED HELP!!!
What is one main objective in the study of economics?
recognizing the types of services available to everyone
recognizing the relationship between producers and consumers
recognizing the reasons why consumers supply services
recognizing the difference between producers and consumers
Answer:
C
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.
Answer:
15
Step-by-step explanation:
24*5=120 / 8 = 15
15 is answer.
will give brainliest!!! hurry up and solve it plzz
Answer:
8
Step-by-step explanation:
we can say that AD is congruent to DC
so your equation for x is: 4x - 1 = 2x
solve this to get x = 0.5
plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF
4(0.5) - 1 = 1
hypotenuse: 1 x 2 = 2
since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,
4(0.5) + 1 = 3
In the diagram, it shows that the legs of triangle are congruent
this means that FE, ED, BA, and BC are all congruent
since we know FE is 3, we know that all the other sides are 3 as well
this means that the perimeter of the triangle is: leg + leg + hypotenuse
so 3 + 3 + 2
the perimeter is 8
yeah so can u help me
Answer: 5 - 9 = -4
Step-by-step explanation:
So 0 represents your starting point. The arrow starting at 0 is going to the right, so it's adding. It ends at 5, so that means the problem begins with 5. The next arrow starts at 5, then goes back to -4, going back 9 spaces. So far we have 5 - 9. It all stops at -4, so that makes it 5 - 9 + -4.
help!!! which is the best buy?
12 oz for 3.55$
16 oz for 4.25
20 oz for 4.55?
HELP MEEEE
Kristen gets home from work at 5:34 p.m. Kristen's dinner is ready at 5:51 p.m.
How many seconds after Kristen gets home is her dinner ready?
20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
The correct format of the question is
After an accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answer:
48.6mi/h, Yes the car was speeding.
Step-by-step explanation:
The speed of the car is given by [tex]v=2\sqrt{5L }[/tex]
Skid length (L) = 118ft
V= [tex]2\sqrt{5*118}[/tex]
= 2 [tex]\sqrt{590}[/tex]
= 2*24.3
V = 48.6mi/h
Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.
In the figure shown, which theorem can be used to show that ABC = ADEF?
O A The triangles are not congruent.
OB SAS Triangle Congruence Theorem
OC AAS Triangle Congruence Theorem
OD ASA Triangle Congruence Theorem
Pick choice-C ... AAS.
When I learned Geometry (during the late Pleistocene epoch), I don't remember ever using AAS.
BUT ... If you know 2 angles of a triangle, then you know all three, because they all add up to 180.
So if you have AAS=A'A'S', then you also have ASA=A'A'S', which was a congruence theorem even way back then.
Ahhh the good old days. We rarely got any homework, because the teachers all knew that the clay tablets would ruin our backpacks.
Find the square root of
144
Answer: 12 is the square root of 144
Step-by-step explanation:
Help plz plz plz plz
Answer:
.4 and it terminates
Step-by-step explanation:
Answer:
red
Step-by-step explanation:
PLEASE HELP!! IM ON A TIME LIMIT!!
Answer:
1/6
Step-by-step explanation:
What is the same as 1.5 in a fraction
Answer:
the answers is 3 over 2 in fraction form
Answer:
1 1/2 or 3/2
Steps:
As we know .5 = 1/2
If we take one the 1 out of 1.5 we can use it to connect 1 and 1/2
please help me show work
Answer:
x=6°z=64°Step-by-step explanation:
15x+26 + 5x+34 =180
20x + 60 =180
20x=120
x=6z + 15(6) +26=180
z=180-26-90=180-116
z=64hope it helps:)
Which describes how to graph h(x)= –RootIndex 3 StartRoot x EndRoot + 3 using transformations of the parent function? Reflect over the horizontal axis, and then translate the graph right 3 units. Reflect over the horizontal axis, and then translate the graph up 3 units. Reflect over the vertical axis, and then translate right 3 units. Reflect over the vertical axis, and then translate up 3 units.
Reflect over the horizontal axis, and then translate the graph up 3 units
Answer: Reflect over the horizontal axis, and then translate the graph up 3 units.
Can someone please answer the questions
Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners
Step-by-step explanation:
4x + 5y = 30
5x + 3y = 31
Answer:
y=2
x=5
trust me its by calculator
Answer:
x=5
y=2 true......
Step-by-step explanation:
.............
If z = 1 –StartRoot 3 EndRoot i, what is z^3? please help im stressed
a) -8
b) 8
c) -8i
d) 8i
Answer:
Correct answer: a) -8
Step-by-step explanation:
Complex Numbers
A complex number z in polar form is expressed as
[tex]z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]
The nth power of a complex number in polar form is:
[tex]z^n=r^n(\cos(n\theta)+\mathbf{i}\sin(n\theta))[/tex]
If the complex number is given in rectangular form
[tex]z=x+\mathbf{i}y[/tex]
then the values of r and θ are given by:
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]\displaystyle \theta=\arctan\left(\frac{y}{x}\right)[/tex]
The given complex number is:
[tex]z=1-\mathbf{i}\sqrt{3}[/tex]
The value of r is:
[tex]r=\sqrt{1^2+(-\sqrt{3})^2}[/tex]
[tex]r=\sqrt{1+3}=2[/tex]
r=2
Calculating the angle:
[tex]\displaystyle \theta=\arctan\left(\frac{-\sqrt{3}}{1}\right)[/tex]
[tex]\displaystyle \theta=\arctan(-\sqrt{3})[/tex]
Since the number is in the quadrant IV, the angle is:
[tex]\theta=-60^\circ[/tex]
Thus, z is expressed in polar form as:
[tex]z=2(\cos(-60^\circ)+\mathbf{i}\sin(-60^\circ))[/tex]
Calculating:
[tex]z^3=2^3(\cos(-180^\circ)+\mathbf{i}\sin(-180^\circ))[/tex]
Given cos 180°=-1 and sin(-180°)=0
[tex]z^3=8(-1+0)[/tex]
[tex]z^3=-8[/tex]
Correct answer: a) -8
Answer:
A
Step-by-step explanation:
just finished test
The dimensions for a rectangular or prism are x + 5 for length, x+ 3 for width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.
Answer:
x^3 +8x^2 +15x
Step-by-step explanation:
(x+5)(x+3)(x)
foil:
x^2+8x+15 (x)
x^3+8x^2+15x
In circle F with m∠EHG = 35, find the m∠EFG
Answer: m∠EFG = 70
Step-by-step explanation:
m∠EFG = 2x35
m∠EFG = 70
In conclusion the answer is 70
Geoff has had, for a long time, a savings account with an annual interest rate of 3.65%. Now, however, the bank wants to change his rate to 0.3% monthly. Should Geoff accept this change?
Answer:
No
Step-by-step explanation:
He will lose 0,05% of the profit
12 x 0,3 = 3,6
3,6 - 3,65 = -0,05
(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880
subtract 11 from 111 in base two
Answer:
11-111=0b1100100
Please help!!!!!!!!!!!
Answer:
6/72
Step-by-step explanation:
6/72 =0.0833333333
Answer: 2/9 X 3/8
NOW'
2 X 3 = 6 THIS IS THE ANSWER WHEN U MULTIPLY NOW AS PER
9 8 72
THE QUESTION WE NEED TO SIMPLIFY IT....
SOOOOOO LETS SEE FIRST IF WE CAN SIMPLIFY IT......
my method)
6/72 (lets divide num nd deno by 2)
3/36( Ahh! we cn simplify it further now divide by 3)
1/12
Other metthod
6/72 ( DIVIDE BY 6)
1/12
Step-by-step explanation:
For each equation, determine whether it has no solutions, exactly one solution, or is true for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.
6 x + 8 = 7 x + 13
6 x + 8 = 2 ( 3 x + 4 )
6 x + 8 = 6 x + 13
Answer:
Equation 1 has exactly one solution.Equation 2 has infinitely many solutions.Equation 3 has no solution.Step-by-step explanation:
We are given three equations to solve. First, let's solve the equations for x.
Equation 1
[tex]\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}[/tex]
Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.
[tex]\displaystyle{6(-5)+8=7(-5)+13}\\\\-30 + 8 = -35 + 13\\\\-22 = -22 \ \checkmark[/tex]
Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.
[tex]6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}[/tex]
Therefore, for Equation 1, there is exactly one solution.
Equation 2
[tex]6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark[/tex]
We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check any value in place of x to see if we get a true statement. For this instance, I will use -3.
[tex]6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark[/tex]
We still get a true statement, so Equation 2 has infinitely many solutions.
Equation 3
[tex]6 x + 8 = 6 x + 13\\\\0 + 8 = 13\\\\8 \neq 13[/tex]
We get a false statement. Therefore, Equation 3 has no solution.
what is the value of this expression below when z=3
10z^2-2z-2
Answer:
82
Step-by-step explanation:
10z^2-2z-2
10x3^2-2x3-2
90-6-2
90-8
82
Answer:
82
Step-by-step explanation:
Evaluate 10z² - 2z - 2 where z = 3:
[tex] \longrightarrow [/tex] 10z² - 2z - 2 = 10 × 3² - 2 × 3 - 2
3² = 9:
[tex] \longrightarrow [/tex] 10 × 9 - 2 × 3 - 2
10 × 9 = 90:
[tex] \longrightarrow [/tex] 90 - 2 × 3 - 2
-2 × 3 = -6:
[tex] \longrightarrow [/tex] 90 - 6 - 2
90 - 6 - 2 = 90 - (6 + 2):
[tex] \longrightarrow [/tex] 90 - (6 + 2)
6 + 2 = 8:
[tex] \longrightarrow [/tex] 90 - 8
[tex] \longrightarrow [/tex] 82
chemical formula for lithium bromide
Answer:
The molecular or chemical formula of Lithium Bromide is LiBr. Lithium Monobromide is synthesized by treating lithium carbonate (Li2CO3) with hydrobromic acid (HBr). The salt forms cubic crystals which are similar to sodium chloride.
Step-by-step explanation:
hope this helped:)
Answer:
lithium bromide is a chemical compound of lithium and bromine
Step-by-step explanation:
Br-Li+
for a given circle, find the value of x and y
Answer:
8
Step-by-step explanation:
hihihhhihihihihihihihihih
Which statement(s) could be used in a proof with the reason CPCTC after proving ΔABC≅ΔEFG? (Check all that apply) *
AC ≅ EG
AB ll EF
BC ≅ FG
∠BCA ≅ ∠FGE
∠CBA ≅ ∠GEF
Answer:
The statements(s) that could be used in a proof with the reason Corresponding Parts of Congruent Triangles are Congruent (CPCTC) are;
AC ≅ EG
BC ≅ FG
∠CBA ≅ ∠GEF
Step-by-step explanation:
CPCTC is a phrase that stands for Corresponding Parts of Congruent Triangles are Congruent. It can be used as a bases for congruent relationships of corresponding angles and segments, after two triangles have been proven as congruent
Given ΔABC is congruent to ΔEFG, we have by CPCTC;
Side AB ≅ Side EF
Side AC ≅ Side EG
Side BC ≅ Side FG
∠A ≅ ∠E
∠B ≅ ∠F
∠C ≅ ∠G.