Answer:
$8.10
Step-by-step explanation:
You can just multiply how many yards she bought by the price per yard.
3×2.7=
$8.10
She spent 8 dollars and 10 cents.
can i not have the interactive ads
Write an equation of the line that passes through (2,−3) and is perpendicular to the line y=−2x−3.
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 3 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 1 + c ⇒ c = - 3 - 1 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
An equation of the line that passes through points (2,−3) and is perpendicular to the line is equal to [tex]y=\frac{1}{2} x-4[/tex]
Given the following equation:
[tex]y=-2x-3[/tex]Points (x, y) = (2, -3)First of all, we would determine the slope of the given equation:
Slope, [tex]m_1[/tex] = -2
In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).
Mathematically, this is given by;
[tex]m_1 \times m_2 = -1[/tex]
Substituting the value of [tex]m_1[/tex], we have:
[tex]m_1 \times m_2 = -1\\\\-2 \times m_2 = -1\\\\m_2 = \frac{1}{2}[/tex]
The standard form of an equation of line is given by the formula;
[tex]y -y_1 =m(x-x_1)[/tex]
Where:
x and y are the points.m is the slope.Substituting the points into the formula, we have;
[tex]y-y_1 =m(x-x_1)\\\\y-[-3] =\frac{1}{2} (x-2)\\\\y+3=\frac{1}{2} x -1\\\\y=\frac{1}{2} x-1 -3\\\\y=\frac{1}{2} x-4[/tex]
Read more: https://brainly.com/question/14096662
Solve the simultaneous equations
7x + 2y = 22
3x + 4y = 11
I used Elimination method
x =3
y = 1/10
Hope it helps
What is the exponential function for the graph above . Form is p(t)=a•b^t
Answer:
5(2^x)
Step-by-step explanation:
Please help will mark brainliest
Answer:
a) 3
b) -3
Step-by-step explanation:
Absolute value makes sure that whatever is in the lines will equal a positive.
Answer:
[tex]\left|4-7\right|\\\mathrm{Subtract\:the\:numbers:}\:4-7=-3\\=\left|-3\right|\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\=3[/tex]
[tex]\left|4\right|-7\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\left|4\right|=4\\=4-7\\Simplify\\=-3[/tex]
Step-by-step explanation:
numbers that have |x| around the numbers means its an absolute number, making it positive
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
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.
Consider the first five terms of the sequence 3, 15, 75, 375, 1875, … If the sequence defines a function, what is a reasonable domain and range of the function?
Answer:
A reasonable domain is all natural numbers.Step-by-step explanation:
Notice that the sequence begins with 3, and it's an infinite sequence, that's the meaning of the three points at the end.
So, a reasonable domain to this sequence, as function, it's all real numbers which follows the rule [tex]f(x)=3(5)^{x-1}[/tex]. In other words, the given sequence represents the range of the function, and the domain is defined by the number of terms, where the first term is 3, the second term is 15, and so on.
Therefore, a reasonable domain is all natural numbers.
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.
Small box: 162 inches. Large box 1: 10476 inches. Large box 2: 9102 inches Your friend uses division to determine that Large Box 1 can hold 64 small boxes and Large Box 2 can hold 56 small boxes. Explain the error in your friend's reasoning. How many small boxes can each large box hold?
Answer: Large box 1 can hold 64.67 inches; Large box 2 can hold 56.19 inches.
Step-by-step explanation:
Small box: 162 inches.
Large box 1: 10476 inches.
Large box 2: 9102 inches
Number of small box that can be contained in large box 1= 10476/162 = 64.67
Number of small box that can be contained in large box 2 = 9102/162 = 56.19
If my friend uses division to determine and said Large Box 1 can hold 64 small boxes and Large box 2 can hold 56 small boxes. The error in his reasoning was that he didn't approximated to whole number. He should have written the figure completely or to 2 or 3 decimal places.
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:
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
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:
Which of the following is equal to tan(A)?
Answer: cot B
Step-by-step explanation: if i am right mark me as brainliest
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:
The roots of a quadratic equation are (1,0) and (-5,0). What is the axis of symmetry?
Answer:
Step-by-step explanation:
The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.
The axis of symmetry is x = -2.
The 'halfway' value is also the 'average' of 1 and -5: -4/2, or -2.
The axis of symmetry is x = -2.
-
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?
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
simplify (3 to the 6th power) to the 18th power??
Answer:
[tex]3^{108}[/tex]
Step-by-step explanation:
[tex](3^6)^{18}\\\text {Apply "Power of a Power" Rule: } (a^x)^y = a^{x*y}\\6*18 =108\\\text {Therefore:}\\\boxed {(3^6)^{18} = 3^{108}}[/tex]
Answer:
3 to the 6th power is 729.
3 to the 18th power is 387420489
Step-by-step explanation:
You just multiply. Sorry I don't know how to explain I just know how to do it.
Each year, a school committee sells donated cakes to raise money for a trip. The table shows the number of cakes sold each year for 5 years
Which measure of center best summarizes the number of cakes sold each year, and what is the value of the chosen measure?
Move a word and a value to the lines to complete the sentences.
The best measure of center for this data is the ____.
which has a value of ______.
mean
median
mode
21
22
23
Answer:
The best measure of center for this data is the Mode
______
which has a value of 21
____
Step-by-step explanation:
The best measure of center for this data is 21 that is mode or median and this can be determined by checking the deviation from the lowest number and the highest number.
Given :
Table-
Year 2011 2012 2013 2014 2015
Number of Cakes Sold 21 28 19 26 21
First determine the mean, mode, and median of the given data.
[tex]\rm Mean = \dfrac{Sum\; of \;the \;terms}{Number\;of \; terms}[/tex]
[tex]\rm Mean = \dfrac{21+28+19+26+21}{5}[/tex]
[tex]\rm Mean = \dfrac{115}{5}[/tex]
Mean = 23
The median of the given data is 21.
The mode of the given data is 21.
Now, check the deviation from the lowest number and the highest number. The best measure of center for this data is 21.
For more information, refer to the link given below:
https://brainly.com/question/1957976
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.
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
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
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
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
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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
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.....
PLease help me!
Jacob has $7,777 in a savings account. The interest rate is 14%, compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
Total = Principal * (1 + rate )^ years
Total = 7,777 * 1.14^2
Total = 7,777 * 1.2996
Total = 10,106.99
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.
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