Answer:
a=148.50
b=0.045
c=8
Step-by-step explanation:
i just took the quiz on edgeunity
All the value of variables are,
a = 148.50, b = 0.05, and c = 8
Now, For the values of a, b, and c in the table, we can use the formula for simple interest:
I = Prt
where I is the interest earned in dollars,
P is the principal in dollars,
r is the interest rate per year as a decimal, and t is the time in years.
Hence, By Using this formula, we can solve for the missing values in the table as follows:
For the first row, we have
P = 3300, r = 0.045, and t = 1.
We can plug in these values and the given value of a = into the formula to solve for a:
a = Prt
a = 3300 x 0.045 x 1
a = 148.50
Therefore, a = 148.50 for the first row.
For the second row, we have P = 3300, t = 3, and I = 445.50.
We can plug in these values and solve for r:
I = Prt
445.50 = 3300 x r x 3
r = 0.05
Therefore, b = 0.05 for the second row.
For the third row, we have P = 3300, t = 7, and I = 1039.50. We can plug in these values and solve for r:
I = Prt
1039.50 = 3300 x r x 7
r = 0.045
Therefore, c = 7 for the third row.
For the fourth row, we have P = 3300, t = c, and I = 1188.00. We can plug in these values and solve for c:
I = Prt
1188.00 = 3300 x 0.045 x c
c = 8
Therefore, c = 8 for the fourth row.
Thus, we have a = 148.50, b = 0.05, and c = 8 to complete the table.
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Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = StartFraction question mark fluid ounces Over 9 cups EndFraction How many fluid ounces are in 9 cups? 64 fluid ounces 72 fluid ounces 80 fluid ounces 81 fluid ounces
Answer:
(B)72 fluid ounces
Step-by-step explanation:
To convert cups to fluid ounces, Sari wrote the equivalent ratios.
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]
Let the question mark be represented by x.
We then have:
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]
We conclude that there are 72 fluid ounces in 9 cups.
Answer:
B
Step-by-step explanation:
Jessie recently drove to visit her parents who live 240240 miles away. On her way there her average speed was 2525 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 88 hours driving, find the two rates.
Answer:
The speed/rate to her parent's house is x = 75 mph
The speed/rate from her parent's house is y = 50 mph
Step-by-step explanation:
Given;
Distance to her parent's house = 240 miles
Total distance travelled (to and fro) = 240×2 = 480 miles
Total time taken t = 8 hours
On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)
Let x and y represent her speed to and from her parent's house respectively.
x = y+25 ......1
The time taken to her parent's house is;
time = distance/velocity
t1 = 240/x = 240/(y+25)
The time taken from her parent's house is;
time = distance/velocity
t2 = 240/y
Total time taken t = t1 +t2
t = 240/(y+25) + 240/y = 8
Solving for y ;
(240y + 240(y+25))/(y^2 +25y) = 8
Cross multiply;
240y + 240y+6000 = 8y^2 + 200y
480y +6000 = 8y^2 + 200y
8y^2 + 200y -480y -6000 = 0
8y^2 - 280y - 6000 = 0
Divide through by 8;
y^2 - 35y - 750 = 0
Solving the quadratic equation;
y = 50
or
y = -15
Velocity cannot be negative, so y = 50mph
From equation 1;
x = y+25
Substituting y =50
x = 50 + 25
x = 75 mph
The speed/rate to her parent's house is x = 75 mph
The speed/rate from her parent's house is y = 50 mph
there are only blue, yellow and green cubes in a bag. there are three times as many blue cubes than yellow cubes and five times as many green cubes then blue cubes. what is the chance that Sarah will get the yellow cube in its simplest form.
Answer: 1/11
Step-by-step explanation:
Let x be no. of yellow cubes.
Blue = 2x
Green = 4 x 2x = 8x
Total cubes = x + 2x + 8x = 11x
P(yellow) = x / 11x = 1/11
I need help ASAP jsnsnsbdbsbsnsnsnd
Answer:
9 comedy
12 horror
Step-by-step explanation:
First, there are 360 degrees in a circle.
Comedy = 90 degrees
Action and romance = 90 degrees combined
Horror = 120 degree
Science fiction = 60 degrees
To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees
36 students took the survey.
1/4 × 36 = 9
Horror is 120 degrees out of 360 degrees or 1/3 of the circle.
1/3 × 36 = 12
Answer: 12 students
Step-by-step explanation:
360* circle, 1 student per 10* so 120* = 12 students.
To double check, 90* = 9 students.
An angle formed by two chords is?
Answer:
<ART
Step-by-step explanation:
A chord in a circle is a straight line segment whose endpoints both lie on the circle.
Some chords are TN, EI, AT, and FG (diameter, special type of chord).
EI and TN intersect at in angles <ART and <NRS (the top angles don't have a specific name for the point of intersection).
An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.
What is a chord?A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If the chord passes through the center it is the diameter of the circle.
The chords in the circle are AT, TN, and EI.
Therefore, the angles that are formed due to the intersection of two chords are ∠ANT, ∠TRI, and ∠ERN.
Thus, An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.
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Select the correct answer. In which table does y vary inversely with x?
Answer: C
Step-by-step explanation:
Varies inversely means xy = k
A. 1(-3) = -3
2(-9) = -18
-3 ≠ -18
B. 1(-6) = -6
2(-12) = -24
-6 ≠ -24
C. 1(6) = 6
2(3) = 6
3(2) = 6
6 = 6 = 6 This works!
D. 1(-3) = -3
2(2) = 4
-3 ≠ 4
The only table that has the same k-value is option C.
14 is a______of 7 and 14
Answer:
greatest common factor
Step-by-step explanation:
Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the rest on folders with paper. Each folder filled with paper costs $3.89. Select the inequality that shows how many folders filled with paper (x) Jessica can buy. A. $36.25+$3.89x≥$58.50 B. $36.25+$3.89x≤$58.50 C. $36.25x+$3.89≥$58.50 D. $36.25x+$3.89x≤$58.50
Answer:
B. $36.25+$3.89x≤$58.50
Step-by-step explanation:
It has to be less than or equal to $58.50
Answer:
$36.25+$3.89x≤$58.50
Step-by-step explanation:
Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.
She wants to buy one backpack for $36.25, so her total buying costs
$36.25 + $3.89x
Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so the answer would be $58.50.
3x + 43 = 4x + 2(4 + 2)
Answer:
x = 31
Step-by-step explanation:
[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]
Answer:
x=31
Step-by-step explanation:
first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.
The points on the number line represent 6.72, 6, and 6.15.
+
6
6.4
6.1
6.5
6.8
6.9
6.2
6.3
6.6
6.7
7
7
Which shows the numbers in order from least to greatest?
O 6.72, 63, 6.15
O 6.72, 6.15, 6-7
O 6.15, 6.72, 65
O 6.15, 67, 6.72
Answer:
C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)
Step-by-step explanation:
write seven hundred fifteen and one thousand one hundred fifty- three ten-thousandths as a decimal number
Answer:
715.1153
Step-by-step explanation:
write
seven hundred fifteen = 715
and
one thousand one hundred fifty- three = 1,153
ten-thousandths = 1/10,000 = 0.000 1
together = 0.1153
as a decimal number
So when added together
the number is
715.115 3
Answer:
715.1153
Step-by-step explanation:
Mark has $9.10 to buy some fruit. He wants to buy six pounds of apples, which are $0.99 a pound and as many pounds of bananas as he can, which are $0.79 a pound. How many pounds of bananas can he buy?
Answer: 4 pounds
Step-by-step explanation:
Mark has $9.10 to buy fruits.
6 pounds of apple at $0.99 will cost $5.94
Balance 9.10 - 5.94 = 3.16
Bananas are $0.79 a pound
For $3.16, he will get
3.16 / 0.79 = 4 pounds of bananas
Is the following number rational or irrational? 3.14/5
Answer:
A rational number is a number that can be written in the form
p
q
, where
p
and
q
are integers and
q
≠
o
.
Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4 x + 7 y = 17. 8 x minus 14 y = 36. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
The correct answer is:
[tex]4 x -3 y = 16[/tex] and
[tex]8 x -6 y = 34[/tex] are the equations that have no solution.
Step-by-step explanation:
First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.
Let the equations be:
[tex]a_1x+b_1y+c_1=0[/tex] and
[tex]a_2x+b_2y+c_2=0[/tex]
1. There exists exactly one solution:
[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]
2. There exists infinitely many solutions i.e. lines are identical.
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]
3. There exists No solutions i.e. lines are parallel and will never intersect.
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
Now, let us have a look at the given pair of lines:
Option a)
[tex]2 x + 8 y = 15\\4 x + 16 y = 30.[/tex]
The ratio:
[tex]\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}[/tex]
Hence, the lines are identical, infinite solutions.
Option b)
[tex]2 x - y = 18\\4 x + 2 y = 38[/tex]
The ratio:
[tex]\dfrac{2}{4}\neq \dfrac{-1}{2}[/tex]
Hence, exactly one solution.
Option c)
[tex]4 x + 7 y = 17\\8 x -14 y = 36[/tex]
The ratio:
[tex]\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}[/tex]
Hence, exactly one solution.
Option d)
[tex]4 x - 3 y = 16\\8 x - 6 y = 34.[/tex]
The ratio:
[tex]\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}[/tex]
Hence, There is no solution.
The correct answer is:
[tex]4 x -3 y = 16[/tex] and
[tex]8 x -6 y = 34[/tex] are the equations that have no solution.
Answer:
d
Step-by-step explanation:
Please answer it in two minutes
Answer:
p = 3
Step-by-step explanation:
We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.
We know both legs are equal because we have identical opposite angles in this right rectangle.
If we apply the Pythagorean theorem, we obtain:
[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]
What is the square root of 100000000?
Answer:
10,000 is the answer to ur question
Answer:
10000
Step-by-step explanation:
√100000000 = 10000
can i have some help?
Answer:
36 = 6(6)
[tex]x^{2} -(6)^2[/tex]
(x+6)(x-6)
(x+6)(x-6)
You arrive at a bus stop at 1:00, knowing that the bus will arrive at some time uniformly distributed between 1:00 and 1:30. a) What is the probability that you will have to wait longer than 10 minutes
Answer:
2/3
Step-by-step explanation:
You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30
that is 2 chances of you waiting longer than 10 minute
If n is the term, what is the first integer value of n where the sequence 2n² is greater than 50?
Answer:
The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.
Step-by-step explanation:
2n^2 sequence:
2,8,18,32,50,72
Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A and point B. What did Carlos graph?
Answer:
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Step-by-step explanation:
Carlos graphed the set of points that are equidistant from both point A and point B.
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
6. April works as an emergency medical technician (EMT) and is a photographer. As an EMT she earns $19 per
hour. Last week she worked t hours as an EMT and her friend paid her $100 for a photoshoot. Write an
expression to represent the total amount April earned last week.
Answer: 19t +100
Step-by-step explanation:
19t +100 where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.
Answer:
19t+100
Step-by-step explanation:
it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot
If the common difference of an A.P is d, find a3 – a1
Answer:
2d
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference, thus
a₃ - a₁
= a₁ + 2d - a₁
= 2d
I need help a lot please help me
Answer:
36°.
Step-by-step explanation:
According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.
m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.
(8x + 16) + (6x - 60) = 180
8x + 6x + 16 - 60 = 180
14x - 44 = 180
14x = 224
x = 16
m∠ABC = 6x - 60
6 * 16 - 60 = 96 - 60 = 36
So, m∠ABC = 36°
Hope this helps!
Answer:
36 degrees
Step-by-step explanation:
8x + 16 + 6x - 60 = 180
14x = 224
x = 16
m<ABC = 6x-60
m<ABC = 96-60
m<ABC = 36
11) Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: 1. What is the probability all three of the selected homes have a security system? 2. What is the probability none of the three selected homes have a security system? 3. Did you assume the events to be dependent or independent?
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
Which label on the cone below represents the center of the base? A cone, A is the radius, B is the height, C is the center of the base, and D is the vertex. A B C D
Answer:
C
Step-by-step explanation:
The diagram of the cone is drawn and attached below.
We are given the following information:
A = the radiusB = the heightC = the center of the baseD = the vertex.Therefore, the label which represents the center of the base is C.
The label that represents the center of the base of the cone is the center of the base.
What is a cone?A cone is a three-dimensional object that is made up of a circular base and a pointed edge at the top known as the vertex. The cone is made up of the radius, slant height and the height. The center of a cone is the center of the base of the cone.
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HURRY PLEASE I NEED HELP!!!
When she subtracts 4 from both sides,
1/2x=- 1/2x results. What is the value of x?
Answer:
0
Step-by-step explanation:
Continuing from where Karissa stopped, solving for the value of x in the equation can be done as follows:
[tex]\frac{1}{2}x = \frac{-1}{2}x[/tex]
[tex]\frac{x}{2} = \frac{-x}{2}[/tex]
Cross multiply
2x = -2x
2x + 2x = 0
4x = 0
Divide both sides by 4
[tex]\frac{4x}{4} = \frac{0}{4}[/tex]
x = 0
The value of x in the equation Karissa was solving is 0
Solve: 1.2n+1=1-n
HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT
Answer:
Hello!
~~~~~~~~~~~~~~~~~
1.2n+1=1-n
=
n = 0
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!
What is the length of the shorter of the two chords shown?
Step-by-step explanation:
would you please attach the drawing?????
Answer:
Chord is 13
Step-by-step explanation:
Calculating the length of chords QS and TR:
QS = 9 + 4x = 9 + 4 = 13
TR = 12 + (x+2) = 12 + 3 = 15
Determine the measure of the unknown variables.
PLEASE HELP!!! ASAP!!
(Picture included)
Answer:
First questionVertically opposite angles are equal
So
x = 75°
Second questionVertically opposite angles are equal
So
5y = 135°
Divide both sides by 5
y = 27
Hope this helps you
Which is the solution to the equation 1/4x-1/8=7/8+1/2x
Answer:
x = -4
Step-by-step explanation:
Step 1: Subtract 1/2x on both sides
-1/4x - 1/8 = 7/8
Step 2: Add 1/8 on both sides
-1/4x = 1
Step 3: Divide both sides by -1/4
x = -4
Answer:
x = -4
Step-by-step explanation:
1/4x-1/8=7/8+1/2x
Add 1/8 to each side
1/4x-1/8+1/8=7/8+1/8+1/2x
1/4 x = 1 + 1/2x
Subtract 1/2x from each side
1/4x -1/2x = 1 + 1/2x -1/2x
Getting a common denominator for the x terms
1/4x -2/4x =1
-1/4x = 1
Multiply by -4
-4 * -1/4x = 1* -4
x = -4