Answer:
There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
Step-by-step explanation:
Let S represents Prana's savings account and C represents Prana's chequing account.
Prana has a savings account and a chequing account with a total balance of $85.
Mathematically,
S + C = 85 eq. 1
His parents doubled the amount in each account and the new total balance is $170.
Mathematically,
2(S + C) = 170
2S + 2C = 170 eq. 2
We have two equations and two unknowns.
S + C = 85
S = 85 - C
Substitute the above equation into eq. 2
2S + 2C = 170
2(85 - C) + 2C = 170
170 - 2C + 2C = 170
2C + 2C = 170 - 170
0 = 0
So what does it mean?
it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
what is the slope on the line ?
please help me.
Answer:
4/7
Step-by-step explanation:
you go to the right 4 times then up 7
Suppose the hypotenuse of a right triangle is 8 cm and one of the legs is 5 cm. Use the Pythagorean Theorem to find the measure of the triangle's other leg. Round the measure to the nearest whole number.
Answer:
Base, B is 6cm.
Step-by-step explanation:
Pythagoras theorem states that, in a right-angled triangle (ABC) , the square of the hypotenuse (C) is equal to the sum of squares of the other two sides (AB).
Mathematically, it is given by the equation;
Adjacent² + Base² = Hypotenuse²
A² + B² = C²
Given from the question, C = 8cm, A = 5cm and B = x (unknown)
Substituting the parameters into the equation we have;
5² + x² = 8²
25 + x² = 64
x² = 64 - 25
x² = 39
Taking the square root of both sides, we have;
x = 6.25cm
To the nearest whole number x equals 6cm.
Hence, B = 6cm
Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. What might Joe's buildings have looked like?
Answer:
The three buildings can look like following:
1. The building can look like a cube, with each side and height equal to 2.62 cm.
2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.
Step-by-step explanation:
The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:
1. CUBIC SHAPE:
The building can look like a cube with the length of each side and height given as:
Volume of Cube = 18 cm³ = L³
L = ∛18 cm³ = 2.62 cm
Thus, the building can look like a cube, with each side and height equal to 2.62 cm.
2. CUBOID SHAPE:
The building can also look like cuboid with the following dimensions.
Length = 3 cm
Breadth = 1 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Cuboid = Length * Breadth * Height
Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³
Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. PYRAMID SHAPE:
The building can also look like pyramid with the following dimensions.
Length = 3 cm
Breadth = 3 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Pyramid = (Length * Breadth * Height)/3
Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³
Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.
12. A reindeer runs 20 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
Use the drop-down menu to complete the answer.
The reindeer runs
miles in one hour.
1)3 1/4
2)6 3/4
3)12 1/4
4)60 3/4
Answer:
6.6 repeating or 6 and 2/3
Step-by-step explanation:
you would have to do 20 divided by 3 to find the unit rate.
20 / 3 = 6.6 repeating or 6 and 2/3
A curve is described by the following parametric equations:
x = 4-t
y = t^2 -2
Answer:
Step-by-step explanation:
Given
[tex]x=4-t[/tex]
and [tex]y=t^2-2\quad \ldots(i)[/tex]
So, [tex]t=4-x[/tex]
Substitute the value of [tex]t[/tex] in [tex](i)[/tex]
[tex]y=(4-x)^2-2[/tex]
[tex]y+2=(4-x)^2[/tex]
So it represent a parabola shown in the figure
Which is more, 37 quarts or 10 gallons?
Answer:
10 gallons is more
Step-by-step explanation:
There are 4 quarts in a gallon, so divide your number of quarts by 4 to determine the number of gallons:
37/4 = 9.25 gallons
10 gallons = 10 gallons
Which quadratic function is represented by the graph?
Answer:
Answer choice C
Step-by-step explanation:
It is f(x)= -3(x+3)^2+3. For proof, enter equation into desmos graphing. Also I got it right on edge. Hope this helps.
Answer:
C. [tex]f\left(x\right)=-3\left(x+3\right)^2+3[/tex]
Step-by-step explanation:
I did it on edge
The y intercept is represented by what variable in the equation y=my+b
Answer:
b
Step-by-step explanation:
Answer:
The y-intercept is represented by the variable b in this equation.
4) A salesperson is paid $60 per week plus $4.50 per sale. This week, the salesperson wants to earn at least $250. How many sales, n, must the salesperson make in order to meet that goal?
PLEASE HELP!!!!!!!!!!
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Subtract the $60 out of the total first
250 - 60 = 190
Divide this value by pay per sale:
190 / 4.50 = 42.2222
Thus, they must make 43 sales in order to meet the goal
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Find the perimeter use 3.14
Answer:
21.7 ft
Step-by-step explanation:
You first find the circumference of the entire circle (diameter of 5). The formula is pi times diameter. You should get 15.7 ft. Then you just add 6 because of the line on the top. Your answer should be 21.7 ft. Hope this helped!
Find the difference. Express your answer in lowest terms.
22 1/3 - 6 3/4
Answer:
15 7/12
Step-by-step explanation:
Maddie buys stock that is worth $22 per share.On the first day,the value of the stock goes up 20%. On the second day,the value decreases by 10%. What is the value of each share at the end of the second day?
Answer:
At the end of the second day, the value of the share is $23.76
Step-by-step explanation:
Maddie bought $22 worth of share
20% increase of $22 share in the first day
= 20/100 × 22
= $4.40
The total value at the end of the $22 + $4.40
= $26.40
On the second day, 10% decrease of $26.40 is
= 10/100 × $26.4
= $2.64
At the end of the second date, the value of the share is $26.40 - $2.64
= $23.76
Fill in the blank:
_?__(x+3)=7x+21
Answer:
The fill-in-the-blank is 7.
Step-by-step explanation:
By factoring out the greatest common factor, 7, you will get 7(x + 3).
7(x + 3) = 7x + 21
Answer:
7
Step-by-step explanation:
What is the measure of angle c?
Answer:
50 degrees
Step-by-step explanation:
Okay! So first off, because this is NOT a right triangle, we can't use soh cah toa. That means we can either use the law of sines or the law of cosines.
Because we only have sides here and no angles, we are forced to use the law of cosines.
c^2 = a^2 + b^2 − 2ab cos(C)
c = 6
b = 7.5
a = 6.5
36 = 6.5^2 + 7.5^2 - 2(6.5)(7.5)cos(C)
36 = 98.5 - 97.5cos(C)
-62.5 = -97.5cos(C)
0.641 = cos(C)
angle C = cos^-1(0.641)
angle C = 50.13 which is around 50 degrees
Remember! A dumb thing i always used to do in geometry was use radians instead of degrees, be sure to use degrees here because you are looking for degrees. Radians are for things involving not degrees, but PI.
Create a number pattern involving two operations. Explain your pattern.
PLEASE HELP THE ASSIGNMENT IS DUE IN AN HOUR
Answer:
sorry if this is too late
1 x 2 + 1 = 3
3 x 2 + 1 = 7
7 x 2 + 1 = 15
15 x 2 + 1 = 31
31 x 2 + 1 = 63
Step-by-step explanation:
What is the solution to the equation below?
3log X= log 32+ log 2
X=-8
X=-4
X= 8
With the options:
X=-8
X=-4
X=4
X=8
The correct answer is x=4
The required solution of the given expression is x = 4.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3log X= log 32+ log 2
logx³ = log 2⁵ + log 2
logx³ = log 2 ⁶
x³ = 2⁶
x = ∛2⁶
x = 4
Thus, the required solution of the given expression is x = 4.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3?
Answer:
A linear graph with points (6/7, -3/7)
Step-by-step explanation:
Look at the two equations.
We find the value of X and Y because the graph must satisfy these points. See attachment for explanations.
Answer:
A
Step-by-step explanation:
What is the solution to the inequality 30 < 2x + 16
Step-by-step explanation:
30 < 2x + 16
30 - 16 < 2x
14 < 2x
14/2 < x
7 < x
or
x > 7
#CMIIW
Answer: x > 7
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 2x by subtracting 16 from both sides.
That leaves you with 14 < 2x.
To get x by itself, divide both sides by 2 and 7 < x.
I like to put my variable on the left side but if we do that,
we must switch the direction of the inequality sign.
So 7 < x is the same as x > 7.
However, 7 < x is still the right answer, just a matter of preference.
PLEASE HELP !
Solve the system of equations and round answer to the nearest tenth :
y = 2.3 • x + 160.7
y = 3.58 • x + 202.6
Answer:
work is shown and pictured
can i not have the interactive ads
What is the exponential function for the graph above . Form is p(t)=a•b^t
Answer:
5(2^x)
Step-by-step explanation:
which expression can be used find the surface area the following triangular prism // 10, 8, 6, 20
Answer:
Step-by-step explanation:
45
Answer:
24+24+120+160+200
Step-by-step explanation:
I did it and i got it correct !!!!
Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? (The holes caused by the nails are negligible.) Express your answer in simplest radical form.
Answer:
The area of the unpainted region on the four inch board = 160·√3 in.²
Step-by-step explanation:
Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram
The dimensions of the formed parallelogram are;
Interior angles = 60° and 120° (adjacent angles of a parallelogram)
Height, h of parallelogram formed = 4 inches
From the angle of crossing of the parallelogram, we have;
Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°
Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;
[tex]b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches[/tex]
Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²
Hence, the area of the unpainted region on the four inch board = 160·√3 in.².
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Rachel has some first class and some second class stamps.
The ratio of the number of first dass to the number of second class stamps is 3:4
Rachel has 18 first class stamps.
(a How many second class stamps do es Rachel have?
b) How many stamps do es Rachel have in total?
Jamal asks his friend Sam, "How many days are in December?" Is this a statistical question? Why or why not?
Answer:
in total there are seven months with 31 days which means there are 31 days in december. It starts on the same weekday as September and ends on the same weekday as april every year.
This would not be a statistical question because it does not have varying data. An example would be: What is the typical number of pets owned by students in my class.
Why does the poet use a similar
phrase at the beginning of each
stanza?
Answer:
sang / music was all she thought about
Step-by-step explanation:
i did this already.....
A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange-flavored, and three fruit-punch flavored. Three times, you randomly grab a bottle, return the bottle to the cooler, and then mix up the bottles. The first time, you get a lemon-lime drink. The second and third times, you get fruit-punch.
show work please thanks! 20 poinsssssss!!
Answer: The probability is 0.036
Step-by-step explanation:
We have a total of 10 sports drinks.
4 lemon-lime
3 orange
3 fruit-punch.
in the first draw, we pick a lemon-lime drink.
The probability of this is equal to the number of lemon-lime drinks divided by the total number of drinks: p1 = 4/10.
Then we return it and we mix the drinks.
In the second time, we draw a fruit-punch one, so now the probability is:
p2 = 3/10
We return the drink.
For the third time we again pick a fruit-punch.
Again, we have p3 = 3/10.
Now for the joint probability of the 3 events we must multiplcate the individual probabilities, this is:
P = p1*p2*p3 = (4/10)*(3/10)*(3/10) = 36/100 = 0.036
Answer:
(っ◔◡◔)っ ♥ Thanks for the 9 points! ♥
Step-by-step explanation:
Determine if the question posed is a statistical question (yes) or not (no). How many apps do my classmates have on their phones?
Answer:
Statistical
Step-by-step explanation:
You need to collect data to determine the answer of that.
Answer:
Yes
Step-by-step explanation:
"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.
I wasn't really sure how to explain it but I hope it makes sense! :)
miles is painting his bedroom and the guestroom he uses 8 gallons in the bedroom and 1/4 of that amount in the guestroom whats the amount he uses in the bedroom
Answer:
Amount of paint used in the bedroom = 8 gallons
Amount of paint used in the guestroom = 2 gallons
Step-by-step explanation:
It is stated clearly in the question that miles uses 8 gallons in the bedroom
Therefore, the amount of paints used in the bedroom = 8 gallons
He uses 1/4 of the amount used in the bedroom in the guestroom
Therefore, the amount used in the guestroom = 1/4 * 8
The amount used in the guestroom = 2 gallons
La maestra del quinto grado, que tiene 27 estudiantes, desea hacerles un regalo por el "Día del niño". Si adquirió una caja de bombones que contiene 81 unidades y regala 3 bombones a cada niño o niña, ¿alcanzarán los bombones para todos sus estudiantes?
Answer: Yes, it will be enough.
Step-by-step explanation:
I will answer this in English:
We have 27 students and 81 units, we want to give 3 units to each student.
This is only possible if the quotient betwen 81 and 3 must be bigger than 27.
Lets do it:
81/3 = 27
So we have exactly enough for the 27 students.