Answer:
Robbie pay in twelve months $1080 .
$92.47 more Robbie pay and 9.36 %(Approx) Robbie pay.
Step-by-step explanation:
As given
Robbie Morse has a $47,500 insurance policy.
The annual premium is $987.53.
Robbie pays $90.00 monthly.
First find out the Robbie pay in twelve months .
Robbie pay in twelve months = 12 × 90
= $ 1080
Second find out how much more does Robbie pay .
Robbie pay extra = Robbie pay in twelve months - annual premium
= $ 1080 - $987.53
= $92.47
Therefore the $92.47 more Robbie pay .
Third find out the what percentage does Robbie pay .
Formula
[tex]Percentage = \frac{Robbies\ pay\ more\times 100}{annual\ premium}[/tex]
Robbies pay more = $92.47
Annual premium = $987.53
Put in the above
[tex]Percentage = \frac{92.47\times 100}{987.53}[/tex]
[tex]Percentage = \frac{9247}{987.53}[/tex]
Percentage = 9.36 % (Approx)
9.36 %(Approx) Robbie pay.
Robbie pays a total of $1,080.00 over twelve months, which is $92.47 more than the annual premium. This amount is approximately 9% more than the original annual premium.
To determine how much Robbie pays for his monthly premium over twelve months, we need to perform the following calculations:
First, calculate the total amount Robbie pays monthly. He pays $90.00 monthly, so over twelve months:
$90.00 times 12 = $1,080.00
Next, we need to find out how much more Robbie pays compared to the annual premium of $987.53:
$1,080.00 - $987.53 = $92.47
Percentage Calculation:
To find the percentage Robbie pays compared to the original annual premium, use the formula:
(difference / original amount) times 100
($92.47 / $987.53) times 100 ≈ 9%
Thus, Robbie pays approximately 9% more than the annual premium.
If property damage due to erosion along the coast is $60 million each year, how many money would be spent in 4 years?
Answer:
$240 million
Step-by-step explanation:
In 1 year, $ 60 million would be spent
in 4 years,$ (60 x 4) million or $240 million would be spent
I need help please Algebra two
Answer:
Odd
Step-by-step explanation:
The graph intersects the x-axis three times. These three intercepts are the roots of the function and form the factors or solutions for x. They also represent the degree. This is an odd degree because there are 3 roots and 3 is odd. It is at least 3 but could be higher. All odd degree polynomials have the shape of a sideways s.
Daniel's savings account balance is 20 times the amount of Henrys savings account balance. The total amount of money contained in both savings accounts is $ 462. Henry's' account is small, but the bank where he keeps his account actually pays a higher interest rate,4.4%. How much does Daniel have in his savings account?
Answer: Daniel has $22 in his savings account balance.
Step-by-step explanation:
Let Daniel's savings account balance be x
and Henry's savings account balance be y, then as given Daniel's savings account balnce is 20 times that of Henry's, We get [tex]x=20y[/tex]...........(1)
And also total amount of both savings account is $462 so we get [tex]x+y=462[/tex] ......(2)
Now by substituting values of x from (1) into (2) we get,
[tex]20y + y=462\\21y=462\\y=22[/tex]
And [tex]x=$440[/tex]
So, Daniel's savings account balance is $440
and Henry's savings account balance is $22
Answer:
Daniel have $440 in his savings account.
Step-by-step explanation:
Given that Daniel's saving account balance is 20 times the amount of Henry's savings account balance.
So, let Henry's saving account balance = x
Therefore, Daniel's saving account balance = 20 x
Given that total amount of money contained in both account is $ 462
⇒ 20 x + x = 462
21 x =462 ⇒ x = 22
Hence, Daniel's saving account balance = 20 x
= 20 * 22
= $ 440
Choose the correct word that completes each statement about inscribing a square in a circle.
The second diameter that is constructed or copied is_________ to the first diameter.
parallel
perpendicular
The chord that connects the endpoints of the diameters forms a(n) __________ triangle.
equilateral
scalene
isosceles The side of the inscribed square has a length ________ equal to the radius, r.
sometimes
always
never
Answer:
1. Perpendicular
2. Isosceles
3. Never
Step-by-step explanation:
1. AC ⊥ BD because diameter of a square are perpendicular bisector of each other.
2. In Δ AOB , By using pythagoras : AB² = OA² + OB² .......( 1 )
In Δ COB , By using pythagoras : BC² = OC² + OB² ..........( 2 )
But, OA = OC because both are radius of same circle
So, by using equations ( 1 ) and ( 2 ), We get AB = BC ≠ AC
⇒ ABC is a triangle having two equal sides so ABC is an isosceles triangle.
3. The side can never be equal to radius of circle because the side of the square will be chord for the circle and in a circle chord can never be equal to its radius
Answer:
1. Perpendicular
2. Isosceles
3. Never
Step-by-step explanation:
Which of the following are remote interior angles of one check all that apply?
Answer:
<4 and <3
Step-by-step explanation:
The remote interior angles are the two angles that are inside the triangle and away from the angle adjacent to the exterior angle.
5 is adjacent to 1
so 3 and 4 are the remote interior angles
What is the solution to the equation x+3/x+2=3+1/x
Answer:
x=-1
Step-by-step explanation:
x+3
------- = 3 + 1/x
x+2
Get a common denominator on the right
3*x/x + 1/x
3x/x + 1/x = (3x+1)/x
x+3 3x+1
------- = ---------
x+2 x
We can use cross products to solve
(x+3) *x = (3x+1) * (x+2)
x^2+3x = 3x*x +x + 3x*2 +2
Simplifying
x^2 + 3x = 3x^2 +7x+2
Subtract x^2 from each side
x^2 -x^2 + 3x = 3x^2-x^2 +7x+2
3x = 2x^2 +7x+2
Subtract 3x from each side
3x-3x = 2x^2 +7x -3x+2
0 = 2x^2 +4x +2
Divide by 2
0 = x^2 +2x +1
Factor
0 = (x+1) (x+1)
Using the zero product property
x+1 =0
x=-1
Answer:
The solution set is { -1 }.
Step-by-step explanation:
If we multiply each term by the LCM of x and x+ 2 ( = x(x + 2)) we get:-
x(x + 3) = 3x(x + 2) + x + 2
x^2 + 3x = 3x^2 + 6x + x + 2
0 = 3x^2 - x^2 - 3x + 6x + x + 2
2x^2 +4x + 2 = 0
2(x^2 + 2x + 1) = 0
2( x + 1)(x + 1) = 0
x = -1 Multiplicity 2
The solution set only contains 1 * -1 . Elements in a set are not repeated
So its {-1} (answer)
Find all the zeros of the equation
-3x^4+27^2+1200=0
if you could show yourworkthat would be great :3
Divide both sides by -3, and replace [tex]x^2[/tex] with [tex]y[/tex]. Then
[tex]-3x^4+27x^2+1200=0\iff y^2-9y-400=0[/tex]
Factorize the quadratic in [tex]y[/tex] to get
[tex]y^2-9y-400=(y+16)(y-25)=0\implies y=-16,y=25[/tex]
which in turn means
[tex]x^2=-16,x^2=25[/tex]
But [tex]x^2\ge0[/tex] for all real [tex]x[/tex], so we can ignore the first solution. This leaves us with
[tex]x^2=25\implies x=\pm\sqrt{25}=\pm5[/tex]
If we allow for any complex solution, then we can continue with the solution we ignored:
[tex]x^2=-16\implies x=\pm\sqrt{-16}=\pm i\sqrt{16}=\pm4i[/tex]
In right △ABC with right angle B, m∠A=(3x−8)° and m∠C=(x−2)°.
What is m∠A?
Question Options:
47°
67°
25°
92
Answer:
<A = 67
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.
<A + <B + <C = 180
3x-8 + 90 + x-2 =180
Combine like terms
4x-10+90 = 180
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x=100
Divide each side by 4
4x/4 = 100/4
x=25
But we want to know <A
<A = 3x-8
Substitute x=25
=3(25) -8
=75-8
= 67
Answer:
67°
Step-by-step explanation:
In a right triangle, the acute angles are complementary. That means that the sum of their measures is 90 deg.
m<A + m<C = 90
3x - 8 + x - 2 = 90
4x - 10 = 90
4x = 100
x = 25
m<A = 3x - 8
m<A = 3(25) - 8
m<A = 75 - 8
m<A = 67
a company a company paid $48 for two cases of printer paper each case contains 12 packages of paper next month the company office manager needs a order of 180 packages of the same paper of the same paper if the price per package does not change what would be the total cost of next month order
Answer:
$360
Step-by-step explanation:
So for 2 cases that have 12 packs its $48 which means each case cost $24, so keep that for later now look closely, they need 180 PACKAGES not cases so if there are 12 packages in one case divide 180/12 and you will get 15, so that means you need 15 cases, so take the $24 per case and multiply that by the 15 cases you need and boom...it will cost the company $360 for next months order :)
What is the value for y? Enter your answer in the box
Answer:
y = 14
Step-by-step explanation:
[tex]50^\circ+50^\circ+(5y+10)^\circ=180^\circ[/tex]
[tex]100^\circ+(5\times y+10)^\circ=180^\circ[/tex]
[tex](5\times y+10)^\circ=180^\circ - 100^\circ=80^\circ[/tex]
[tex]5 \times y=80^\circ-10^\circ=70^\circ[/tex]
[tex]y=\frac{70^\circ}{5} =14^\circ[/tex]
If she completely guesses on all of the questions, what is the probability that she gets two of the four questions correct?
Answer:
D) 0.211
Step-by-step explanation:
The probability of getting a correct answer is 1/4, so the probability of an incorrect answer is 3/4.
The probability of 2 correct and 2 incorrect is (1/4)(1/4)(3/4)(3/4) = 9/256.
There are C(4,2) = 4·3/(2·1) = 6 ways to have some combination of 2 correct and 2 incorrect out of 4 questions. So, the probability of that result is ...
... 6 · 9/256 = 27/128 =0.2109375 ≈ 0.211
The numbers 4, 5, 6, and 7 are on a spinner. You spin the spinner twice. Which calculation proves that landing on an even number for the first spin and the second spin are independent events?
Answer:
As long as the numbers are in equal proportion on the spinner, the probabilty of landing on an even number for the first and second spin is 1/4, or 25%.
Step-by-step explanation:
If there are four numbers on a spinner, all in equal proportion, than the probability of getting an even number (either 4 or 6) on any spin is 2/4, or 1/2, which is also 50%. Since the results of the first spin do not influence the results of the second spin, then they are independent events. So, if the likelihood of landing on even each time is 1/2, then we would mutliply 1/2 by 1/2 in order to find the probability that landing on an even number would happen in both spins. Our result would be 1/4, or 25%.
Not sure what that dude is even saying. The answer is C- P(A and B)=2/4*2/4
Hope this helped.
A six-sided number cube labeled from 1 to 6 is rolled. What is the probability of getting a multiple of 2 or a multiple of 3?
Answer:
2/3
Step-by-step explanation:
A six-sided number cube labeled from 1 to 6 is rolled.
Total outcomes = 1,2,3,4,5,6= 6 outcomes
multiple of 2 are 2,4,6 so 3 outcomes
multiple of 3 are 3,6 so 2 outcomes
multiply of 2 or 3 are 2,4,3,6 so 4 outcomes
the probability of getting a multiple of 2 or a multiple of 3
= possible outcomes / total outcomes
= 4/6
now reduce the fraction, divide by 2 on both sides
the probability of getting a multiple of 2 or a multiple of 3 = 2/3
Tthe probability of rolling a multiple of 2 or a multiple of 3 on a six-sided die is [tex]\(\frac{5}{6}\)[/tex].
To find the probability of getting a multiple of 2 or a multiple of 3 when rolling a six-sided number cube, we can list out the possible outcomes and identify which ones satisfy our conditions.
The possible outcomes when rolling six-sided die are: 1, 2, 3, 4, 5, and 6:
Multiples of 2 on the die are: 2, 4, 6.
Multiples of 3 on the die are: 3, 6.
We can see that there is an overlap with the number 6, which is both a multiple of 2 and a multiple of 3. To avoid counting this outcome twice, we use the principle of inclusion-exclusion.
First, we add the number of multiples of 2 to the number of multiples of 3
- There are 3 multiples of 2.
- There are 2 multiples of 3.
So, without considering the overlap, we would have [tex]\(3 + 2 = 5\)[/tex] favorable outcomes.
However, since the number 6 has been counted twice, we subtract one instance of it from our total:
[tex]\(5 - 1 = 4\) unique favorable outcomes (2, 3, 4, 6)[/tex]
Since there are 6 possible outcomes in total when rolling a six-sided die, the probability of rolling a multiple of 2 or a multiple of 3 is the number of favorable outcomes divided by the total number of possible outcomes [tex]\(\frac{4}{6}\)[/tex].
This fraction simplifies to [tex]\(\frac{2}{3}\)[/tex]. However, we have overlooked the fact that every number on a six-sided die is a multiple of 1, and since 1 is neither a multiple of 2 nor of 3, it does not contribute to favorable outcomes. Therefore, the only outcome that is not a multiple of 2 or 3 is number 1.
Thus, the correct probability is [tex]\(1 - \frac{1}{6} = \frac{5}{6}\)[/tex], since there is only 1 unfavorable outcome out of 6 possible outcomes.
Gene paid $171 to keep his dog at the kennel for 12 days. What was the unit rate, r, per day to keep the dog at the kennel?
Final answer:
The unit rate, r, per day to keep the dog at the kennel is $14.25.
Explanation:
To find the unit rate, we need to divide the total cost by the number of days. In this case, Gene paid $171 to keep his dog at the kennel for 12 days. So the unit rate, which represents the cost per day, is calculated as:
Unit rate = Total cost / Number of days
Unit rate = $171 / 12
Unit rate = $14.25 per day which is the required answer
Therefore, unit rate to keep the dog at the kennel is $14.25 per day.
find the value of x.
a) 18
b) 6
c) 15
d) 7
Answer:
b) 6
Step-by-step explanation:
Since this is an isosceles triangle, the two sides are equal and the two angles are equal.
That means
5x-3 = 2x+15
Subtract 2x from each side.
5x-2x-3 = 2x-2x+15
3x-3 = 15
Add 3 to each side.
3x-3+3 = 15+3
3x =18
Divide each side by 3
3x/3 = 18/3
x =6
Answer: the answer to this question is A because the angle is acute angle and when you solve (5x-3) it equals up to 18 when you finish figureing it out.
Step-by-step explanation:
ahhhh please help! T.T
Answer: 70
=====================================
Explanation:
The exterior angles (2x+12) and (2x) have corresponding interior angles 180-(2x+12) and 180-(2x)
Triangle ABC has the following interior angles
A = 112
B = 180 - 2x
C = 180 - (2x+12) = 180-2x-12 = 168-2x
Add up the interior angles for A,B,C and set the result equal to 180. Solve for x
A+B+C = 180
(112)+(180-2x)+(168-2x) = 180
112+180-2x+168-2x = 180
460-4x = 180
-4x = 180-460
-4x = -280
x = -280/(-4)
x = 70
---------------
Side note:
2x = 2*70 = 140 is the exterior angle for B, so 180-140 = 40 is the interior angle for angle B
2x+12 = 2*70+12 = 152 is the exterior angle for C, so 180 - 152 = 28 is the interior angle for C
Add up the interior angles to find that A+B+C = 112+40+28 = 180, so this helps confirm we have the right x value.
Matt is making a scale model of a building the model is 3.4 feet tall the actual building is 41.848 ft tall.How many times as great is the actual building as the model
41.848/3.4=12.308
The actual building is 12.306 times larger than the model.
Subtract (In picture)
--First we have to simplfy
[tex]\frac{2x-8}{x^2-x-12} -\frac{x-3}{x(x+1)}[/tex]
[tex]\frac{2(x-4)}{(x-4)(x+3)} - \frac{x-3}{x(x+1)}[/tex]
--Cancel common factors
[tex]\frac{2}{(x+3)} -\frac{x-3}{x(x+1)}[/tex]
--Here remember never cancel factors in a subtraction or addition problem
--Now Multiply each side until both denominators are equal to each other
[tex]\frac{2[x(x+1)]}{x(x+3)(x+1)} -\frac{(x-3)(x+3)}{x(x+3)(x+1)}[/tex]
--Simplify
[tex]\frac{2x^2+2x}{x(x+1)(x+3)} - \frac{x^2-9}{x(x+1)(x+3)}[/tex]
--Now that the denominators are the same: subtract!
[tex]\frac{2x^2+2x-(x^2-9)}{x(x+1)(x+3)}[/tex]
[tex]\frac{2x^2-x^2+2x+9}{x(x+1)(x+3)}[/tex]
--And LAST STEP! ......Simplify More.... To get your answer
[tex]\frac{x^2+2x+9}{x(x+1)(x+3)}[/tex]
Lucy is going to do her first zip line. The zip line is 20 feet long. The distance from the base of the zip line tower to the finish is 15 feet. How high up the tower does Lucy have to climb before she can zip line down. Round answer to the nearest tenth if necessary
Answer:
13.2'
Step-by-step explanation:
zip line, tower n finish form right-angle triangle w/
zip line as hypothesis=20' n the distance to finish as one side=15'
the tower height^2 + 15^2 = 20^2
the tower height = sqrt (400-225)
=sqrt(175)
=13.2'
Answer:
Lucy has to climb 13.2 feet.
Step-by-step explanation:
By the Pythagoras theorem, with zip line being the hypothesis and the distance from tower base to finish as one side,
20^2 = 15^2 + Height^2
Height^2 = 400 - 225 = 175
Height = 13.22 feet
Lucy has to climb 13.2 feet.
Please help me out!!!!!!!
Answer:
the answer is 3/40
Step-by-step explanation:
The sides of a hexagon are 2, 3, 2, 4, 7, and 6. Find the perimeter of a similar hexagon with two sides of length 3.
Answer: P =36
Step-by-step explanation:
4.5 + 6 +3 +3 +10.5+ 9= 36
2,3,2,4,7,6 2/3=3/a a=4.5
3,a,3,b,c,d 2/3=4/b b=6
2/3=7/c c=10.5
2/3=6/d d=9
The perimeter of hexagon is 36 units.
What is hexagon?A closed, two-dimensional polygon with six sides is what is known as a hexagon.
Six vertices and six angles make up a hexagon.
The words "hexa" and "gonio" both refer to six.
Regular hexagons have sides that are all the same length. Therefore, a regular hexagon's circumference is six times as long as its longest side.
Given the sides of Hexagon 2, 3, 2, 4, 7, and 6
the perimeter of hexagon is given by sum of all the sides,
and a similar hexagon with two sides of length 3
the given hexagon have two same sides with length 2 units, so ae can change it by 3 units,
the length of hexagon is 3, a, 3, b, c, and d.
since hexagon are similar so the ratio of their length is also equal,
2/3 = 3/a = 2/3 = 4/b = 7/c = 6/d
solving rati we get a = 4.5, b = 6, c = 10.5 and d = 9
length of new hexagon is 3, 4.5, 3, 6, 10.5, 9
Perimeter = 3 + 4.5 + 3 + 6 + 10.5 +9 = 36 units.
Hence the perimeter is 36 units.
Learn more about hexagon;
https://brainly.com/question/3295271
#SPJ2
A bag contains 4 green, 3 blue, and 5 yellow marbles. What is the probability of selecting a green marble, replacing it, then selecting a yellow marble?
Answer:
5/36
Step-by-step explanation:
Total number in the universe = 4 + 3 + 5 = 12Probability of selecting a green (first time) = 4/12Probability of selecting a yellow (2nd time) = 5/12P(gr then yellow) = 4/12 * 5/12 = 20 / 144This reduces to 5/36A pro basketball player has a vertical leap of 3333 in. What is his hang time? (Use V=48T2.)
Answer:
Hang time of the basketball player is 0.83 sec.
Step-by-step explanation:
A pro basketball player has a vertical leap of 33 in.
His hang-time can be calculated by the function given by,
[tex]V=48t^2[/tex]
Where,
V = vertical leap (vertical leap is the act of raising itself in the vertical plane)
t = the time for which the object stays in the air
Putting all the values,
[tex]\Rightarrow 33=48t^2[/tex]
[tex]\Rightarrow t^2=\dfrac{33}{48}[/tex]
[tex]\Rightarrow t=\sqrt{\dfrac{33}{48}}[/tex]
[tex]\Rightarrow t=0.83\ sec[/tex]
Therefore, hang time of the basketball player is 0.83 sec.
Which equation represents the total interest, T, earned when the principal amount is 100 $, the annual simple interest rate is 1%, and the number of years is 10
Answer:
The total interest after 10 years is $10.
Step-by-step explanation:
Formula
[tex]Simple\ interest = \frac{Principle\times Rate\times Time}{100}[/tex]
As given
when the principal amount is $100, the annual simple interest rate is 1%, and the number of years is 10.
Principle = $100
Rate = 1%
Time = 10 years
Simple interest = T
Put in the formula
[tex]T = \frac{100\times 1\times 10}{100}[/tex]
[tex]T = \frac{1000}{100}[/tex]
T = $10
Therefore the total interest after 10 years is $10.
Final answer:
The equation for calculating the total interest T on a $100 principal at a 1% annual simple interest rate over 10 years is T = $100 x 0.01 x 10, which equals $10 of interest earned.
Explanation:
The equation representing the total interest, T, earned from a principal amount of $100 with an annual simple interest rate of 1% over 10 years can be calculated using the simple interest formula:
Interest (I) = Principal (P) × Rate (R) × Time (T)
Here, Principal (P) is $100, Rate (R) is 1% or 0.01 (when expressed as a decimal), and Time (T) is 10 years. So our equation will be:
T = $100 × 0.01 × 10
Now, we calculate the total interest:
T = $100 × 0.01 × 10 = $10
Thus, the total interest earned after 10 years will be $10.
The selling price of an item is ?$ 440 440. It is marked down by 20?%, but this sale price is still marked up from the cost of ?$ 320 . Find the markup from cost to sale price.
To find the markup from cost to sale price, calculate the original sale price by dividing the selling price by (1 - discount percentage) which is 230
Explanation:To find the markup from cost to sale price, we first need to calculate the cost price.
The item is marked down by 20% from the selling price of $440.
So, the original sale price before the discount would be $440 / (1 - 0.20) = $550.
Since the sale price is still marked up from the cost of $320, we can calculate the markup as:
$550 - $320 = $230.
Learn more about Markup from Cost to Sale Price here:https://brainly.com/question/29965344
#SPJ12
Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches of rope to tie a tarp on top of the tent. Then the remaining rope should be cut into 8 1/4 inches sections to tie a tent to states in the ground. Mario will use all the rope as instructed. Determine the number of 8 1/4 inch sections of rope mario can cut from the rope.
Answer: There are 6 sections of [tex]8\frac{1}{4}\ inches[/tex] of rope Mario can cut from the rope .
Step-by-step explanation:
Since we have given that
Length of the rope for the tent = 7 feet
As we know that
[tex]1\ feet=12\ inches\\\\7\ feet=12\times 7=84\ inches[/tex]
Length of rope is used to tie a tarp on top of the tent = 34.5 inches
Remaining length of rope is given by
[tex]84-34.5=49.5\ inches[/tex]
According to question, the remaining rope should be cut into
[tex]8\frac{1}{4}\ inches\\\\=\frac{33}{4}\ inches[/tex]
So, Number of [tex]8\frac{1}{4}\ inches[/tex] sections of rope Mario can cut from the rope is given by
[tex]\frac{49.5}{8\frac{1}{4}}\\\\=\frac{49.5}{\frac{33}{4}}\\\\=\frac{49.5\times 4}{33}\\\\=6[/tex]
Hence, there are 6 sections of [tex]8\frac{1}{4}\ inches[/tex] rope Mario can cut from the rope .
Answer:
6
Step-by-step explanation:
Mario has 7 feet of rope. Since there are 12 inches in every foot, this means he has
7(12) = 84 inches of rope.
34.5 inches of the rope must be used to tie the tarp to the top; this leaves Mario with
84-34.5 = 49.5
This remaining rope will be cut into 8 1/4 inch sections. We can also write 8 1/4 as 8.25. To find the number of sections this length he can cut, we divide:
49.5/8.25 = 6
He can cut 6 sections this length.
11) Flowers grow rapidly. A flower is 60 inches tall. Tomorrow it will be 71 inches tall. The next day it will be 82 inches tall, and on the next day it will be 93 inches tall. Write a rule to represent the height of the flower as an arithmetic sequence. How tall will the plant be in 12 days?
Answer:
you add 11 inches each day
Step-by-step explanation:
A recipe calls for 2 1/2 cups of flour to make 6 cupcakes. How much flour is needed to bake 18 cupcakes
Answer:
Since 18 cupcakes are a multiple of 18, simply multiply by 3 times 2 1/2 = 10.5 pounds to bake 18 cupcakes.
Step-by-step explanation:
Below is a graph of exponential functions label I though VI.
Answer:
option-C
Step-by-step explanation:
We are given
graphs -- I , V , VI have same starting point
it means that it has same initial values
Suppose, we are given exponential function as
[tex]f(x)=a(b)^x[/tex]
Here , 'a' is initial value
we can see that initial value of graph-I is 30
so, all other graphs must also have 30 initial value
so, graphs
[tex]e,\delta , \phi[/tex] have same initial value =30
so, option-C.......Answer
In triangle ABC, m<A=80, m<B=50, AB=4x-4, AC=2x+16, BC=5x+4. Find BC
Answer:
BC - 54 units
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
∠C = 180° - (∠A + ∠B) = 180° - (80 + 50)° = 180° - 130° = 50°
Since ∠B = ∠C = 50° then the base angles of the triangle are equal hence the triangle is isosceles with
AB = AC, that is
4x - 4 = 2x + 16 ( subtract 2x from both sides )
2x - 4 = 16 ( add 4 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
⇒ BC = 5x + 4 = (5 × 10) + 4 = 50 + 4 = 54