The value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The statement given in the problem is "13 less than the product of 4 and a number, n, is 5".
Here, the 13 less than the product of n and 4 (n×4-13) is equal to the number 5. In the equation form,
[tex]4\times n-13=5[/tex]
Add number 13 both side and simplify it further,
[tex]4\times n-13+13=5+13\\4n=18\\n=\dfrac{18}{4}\\n=4.5[/tex]
Thus, the value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
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1) The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (figure not to scale)
A) 10 ⅔ cm³
B) 24 cm³
C) 26 ⅔ cm³
D) 40 cm³
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Formula :
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Volume = Length x Width x Height
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Find volume :
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[tex]Volume=6 \frac{2}{3} *2*2[/tex]
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Change to improper fractions :
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[tex]Volume=\frac{18}{3}*\frac{2}{1} *\frac{2}{1}[/tex]
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Combine into single fraction :
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[tex]Volume=\frac{24}{1}[/tex]
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Simplify:
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[tex]Volume=24[/tex]
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Answer: Volume = 24 cm³ (Answer B)
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If 96 as a product of its prime factors is 2x2x2x2x2x3, find the greatest common divisor of 72 and 96
Answer:
24
Step-by-step explanation:
72=2*2*2*3*3
96=2*2*2*2*2*3
Hcf=2*2*2*3=24#
HELP!
Vector u has an initial point at (−5, 2) and a terminal point at (−7, 9). Which of the following represents u in trigonometric form?
u = 7.28(cos 74.055°i + sin 74.055j)
u = 7.28(cos 105.945°i + sin 105.945°j)
u = 7.28(sin 74.055°i + cos 74.055°j)
u = 7.28(sin 105.945°i + cos 105.945°j)
Answer:
(b) 7.28 cis(105.945°)
Step-by-step explanation:
The trig form of a vector is always ...
magnitude(cos(angle)·i +sin(angle)·j)
Sometimes, that is abbreviated ...
magnitude cis(angle) or magnitude∠angle
where the "angle" is measured counterclockwise from the +x axis.
__
The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)
u = 7.28(cos 105.945°i + sin 105.945°j)
At the local coffee shop, a small coffee costs $2.50 and a large coffee costs $3.75. Belinda picked up a total
of ten coffees for her team, and paid $33.75 total.
(a) Let x represent small coffees and let y represent large coffees. Write a system to model this situation
and solve it using graphing technology. Yea
Answer:
2.50x + 3.75y = 33.75
Step-by-step explanation:
Compute the correlation coefficient for the data set.
(2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
Enter your answer as a decimal, like this: 0.42
Answer:
0.8679.
Step-by-step explanation:
Look at this diagram. Trapezoid ABCD is similar to Trapezoid JKLM. What is the measure of K?
Answer:
140
Step-by-step explanation:
Its in a answer key pdf
The volume of a rectangular prism is 210 cubic meters. The rectangular base is 5 meters by 6 meters. What is the height of the prism?
Answer:
7
Step-by-step explanation:
V = base x height
base = 5 x 6
5 x 6 = 30
V = 210
H = V/Base
H = 210/30
210/30 = 7
H = 7
Use the table to answer the question.
Consumption $2,000
Investment $1,000
Government Spending $1,000
Imports $500
Exports $600
The market value for each type of expenditure is given for a hypothetical country in the table above. Calculate the gross domestic product of this country.
$5,100
$4,000
$3,900
$4,100
Which of the following would be counted in the investment component of this year's GDP?(1 point)
The market value of all stock purchases for the year.
The market value of all finished goods purchased this year
The total quantity of savings account deposits made this year.
The market value of new factories built this year.
If a country is maintaining a healthy amount of growth, which of the following accurately describes the behavior of real GDP over time?(1 point)
Real GDP fluctuates but follows a horizontal trend line.
Real GDP fluctuates but follows a downward-sloping trend line.
Real GDP fluctuates but follows an upward-sloping trend line.
Real GDP does not fluctuate if growth is occurring.
Answer:
Number 1 4,100$
Number 2 D. The market value of new factories built this year.
Step-by-step explanation:
The endpoints of the diameter of a circle are (6, 0) and (-6, 0). What are the coordinates of the center of this circle?
Answer:
(0,0)
Step-by-step explanation:
a diameter means The average of two measurements of the diameter taken at right angles to each other. so if you try graphing you will be able to find out its (0,0) is the center of the circle coordinates
The coordinates of the center of this circle is (0,0).
What are the coordinates of a center of a circle?The center of a circle is the midpoint of the diameter. So, by using the midpoint formula, if the endpoints of the diameter are (a, b) and (c, d), then the coordinates of the center of circle are [(a + c)/2, (b + d)/2].
According to the question
The endpoints of the diameter of a circle are (6, 0) and (-6, 0).
now ,
(a,b) = (6, 0)
(c, d)= (-6, 0)
coordinates of the center of circle = [ [tex]\frac{a+c}{2} ,\frac{b+d}{2}[/tex] ]
⇒ [tex]\frac{6-6}{2} ,\frac{0+0}{2}[/tex]
⇒ (0,0)
Hence, the coordinates of the center of this circle is (0,0).
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A cylinder has a radius of 6 inches and is 15 inches tall. what is the volume of the cylinder? express the answer in terms of pi. a cylinder with a radius of 6 inches and height of 15 inches. recall the formula v = pi r squared h. 90 pi inches cubed 540 pi inches cubed 1,350 pi inches cubed 2,160 pi inches cubed
The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
How to calculate the volume of a cylinder?The formula for calculating the volume of cylinder is expressed as:
V = πr²h
where
r is the radius
h isthe height
Given the following parameters
h = 15in
r = 6in
substitute
V = 6^2 * 15π
V = 540 π cubic inches
Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches
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Answer:
b
Step-by-step explanation:
Will mark as brainlyest!!
43
Natasha spends $9 for supplies to make necklaces that she sells for $2 each.
Her profit is given by the expressioin 2n - 9. What does the variable n
represent?
Answer:
n = the number of necklaces Natasha sells
Look at one of the formulas for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w)
What does the 2 represent in this formula?
Answer:
The question you are asking is a bit unclear but I might be able to offer some insight.
2(l + w) is sometimes used as the formula for the perimeter of a rectangle.
If l represents the length and w represents the width, then the perimeter (sum of the sides) is l + w + l + w.
This simplifies algebraically as 2l + 2w and can be factored into 2(l + w).
So, to find the perimeter of the rectangle you must double the sum of the length and width.
Not sure if I helped, but finger crossed!! :)
Step-by-step explanation:
What will the equation be if f(x)=(x-1)^2+2 is translated 4 units right and 5 units down?
Answer:
y = (x-5)² - 3
Step-by-step explanation:
Given:
[tex]\displaystyle \large{f(x)=(x-1)^2+2}[/tex]
translates 4 units right5 units downTransformation:
[tex]\displaystyle \large{f(x-a)}[/tex] is translation of a units to the right
[tex]\displaystyle \large{f(x)-b}[/tex] is translation of b units down.
Therefore:
[tex]\displaystyle \large{g(x)=f(x-4)-5}[/tex] is our new equation or transformation:
[tex]\displaystyle \large{g(x)=[(x-4)-1]^2+2-5}\\\displaystyle \large{g(x) = [x-4-1]^2-3}\\\displaystyle \large{g(x)=(x-5)^2-3}[/tex]
Therefore, the new equation is y = (x-5)² - 3
Find the area of a sector with an arc length of 40 cm and a radium of 12 cm
The required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Sectoral area = arc / 2 × radius
Sectoral area = 40 / 2 × 12
= 20 × 12 = 240 cm²
Thus, the required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².
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Please help me with this question eekekk
Answer: The mean of Mike's scores is less than the mean of Tim's scores- True The range of Mike's scores is less than the range of Tim's scores- False The median of Mike's scores is less than the median of Tim's scores- True
Step-by-step explanation:
please help me I'm so confused
Andy wants to mail a package it cost $4.99 plus $.30 for every ounce of the package weighs write an equation that represents the total cost of shipping the package
Answer:
$4.99 + .30X
Step-by-step explanation:
The base price is 4.99
then you have to add the additional .30 for each ounce the package weighs.
The weight is unknown, so I used X. It will be .30 multiplied by x
The water flow rate of a regular shower head is 3. 5 gallons per minute. At this rate it would cost $1. 90 for the water used for a 10 minute shower
Using proportions, it is found that the cost of 1 gallon of water, rounded to the nearest cent, is of $0.05.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that he uses 3.5 x 10 = 35 gallons for a 10 minute shower, which costs $1.9. Hence the cost of a gallon is of:
$1.9/35 = $0.05.
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i need help with this
Answer:
1302
Step-by-step explanation:
–0.4 = 3d + –10
pls answer and dont delete for no reason. again.
Answer:
3.2
Step-by-step explanation:
I'm guessing you want to find the value of D.
so,
-0.4 = 3d -10
3d = 9.6
d = 3.2
Answer: 3.2
Step-by-step explanation:
-0.4= 3d + (-10)
-0.4= 3d -10
add 10 to both sides
9.6 =3d
d= 9.6/3
d = 3.2
A and B are two cities.
a) measure the bearing of B from A.
b) Measure the bearing from A from B.
Answer:
B from A: about 29°A from B: about 209°Step-by-step explanation:
A bearing is measured clockwise from north. To do this measurement, we need to extend the line beteen A and B and extend the North-pointing line so they cross.* A protractor or other measuring tool is then used to measure the angle between the lines.
__
In the attached, we have found the angle between these lines to be about 29°. This is the angle between north and B, as seen from A.
29° = bearing of B from A
__
As seen from B, the angle is 180° more than the one of B from A. The bearing of A from B is ...
180° +29° = 209° . . . . . bearing of A from B
_____
* The angle measurement can be made between any set of lines that are coincident with or parallel to the north line and the line between A and B. In the attached, we attempted to maximize accuracy by using the lines on the figure, rather than creating parallel lines for the purpose of the measurement.
On a figure such as this, it is very difficult to get accuracy to even 0.1 degrees. For example, the geometry program that we used says the slope of the AB line is tangent(60.58°), so the bearing using that information is about 29.42°, not the 29.29° the same program reports as the measurement of the angle.
We don't have access to your original figure, and we can't account for any distortions that may have occurred in the copying and pasting of the image. Straight dilation will not change the angle, but most image reproduction processes have different scale factors in different directions, which will affect the angle measurement. YMMV
Delta Math:
Finding Angles (Level 1) 1/5
Full explanation please
will give brainlist
Answer:
[tex]m\angle FGC =101\degree [/tex]
Step-by-step explanation:
[tex]m\angle CBF = 46\degree[/tex] (Given)
[tex]m\angle FIG = 55\degree[/tex] (Given)
[tex]m\angle IFG = m\angle CBF[/tex] (Corresponding angles)
[tex]\implies m\angle IFG = 46\degree[/tex]
[tex]m\angle FGC =m\angle IFG+ m\angle FIG[/tex]
(By exterior angle theorem)
[tex]m\angle FGC =46\degree+ 55\degree [/tex]
[tex]m\angle FGC =101\degree[/tex]
Here
<IFG=<IBC as lines are parallelUsing the formula
sum of interiors=external
m<FGC=m<IFG+m<GIFm<FGC=55+46°m<FGC=101°HELP 276.5 divided by 7.9.
[tex]\dfrac{276.5}{7.9}\\\\\\=\dfrac{276.5 \times 10}{7.9 \times 10}\\\\\\=\dfrac{2765}{79}\\\\\\=\dfrac{79 \times 35}{79}\\\\\\=35[/tex]
find the value of the variable
Answer:
the answer is y=4
Step-by-step explanation:
the left drawing is a law , and is always true . and on the right side i showed you how i got to the answer.
Please help! Will give brainiest for best answer! (30 points max.) Problem is below!
Answer:
69.09yd
Step-by-step explanation:
9.8 times 14.1 divided by 2
because it is a triangle and when u do area with triangles u do bxh 1/2.
A deck of 50 cards for a math game has 9 red cards, 13 blue cards, 18 green cards, and 10 yellow cards. What is the probability that a card randomly selected from the deck will be a blue card?
Answer:
13/50 or 26%
Step-by-step explanation:
there are 13 blue cards out of 50 so 13/50 or 26%
what is the measurement of each interior angle in #17
Step-by-step explanation:
Sum of interior angles of a polygon
180°(n−2)
When n=10,
Sum of interior angles of a polygon
180°(n−2)
=180°(10−2)
=1440°
Therefore, Each interior angle of a regular heptagon measures 1440/10=144°
Sum of interior angles of a polygon
180°(n−2)
When n=7,
Sum of interior angles of a polygon
180°(n−2)
=180°(7−2)
=900°
Therefore, Each interior angle of a regular heptagon measures 900/7=128.6°
Point A is located is at (7, -3) and is reflected in the y-axis. What are the coordinates of point A'?
(-7, -3)
(-7, 3)
(7,3)
(7.-3)
Answer: (-7, -3)
Step-by-step explanation: Reflection across y axis changes the sign of the x coordinate only
i tried $11 less but it was wrong