Answer:
a = 4
Step-by-step explanation:
Multiply by 2 on each side
6a = 24
a = 4
Which graph represents the solution to the system of equations below?
A.
B.
C.
D.
Answer:
B (-3,-4)
Step-by-step explanation:
2/5 is a positive trend starting at -2.
y=-4 starts on the y-axis and goes horizontal.
Plz help with this question
Answer:i dont know to do this stuff but i think you have to divide i think ???
Step-by-step explanation:
Identify the variables in the expression 4mn + 6m -3
Answer:
The variables are m and n
Step-by-step explanation:
I learned this
An angle measures 8° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
41° and 49°
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Let x represent the smaller angle, then the bigger angle will be represented with x + 8:
x + x + 8 = 90°
Add like terms.2x + 8 = 90°
Subtract 8 from both sides.2x = 82°
Divide both sides by 2.x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°
The answer is:
⇨ 41 and 49Work/explanation:
If two angles are complementary, their measures add to 90°.
So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:
w + w + 8 = 90
Combine like Terms
2w + 8 = 90
2w = 82
w= 41
The other angle measures 8° more than the measure of w:
41 + 8 = 49
Hence, the angles are 41 and 49°.Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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Use graphing technology to find the range of the function f(x)=2^x
.
Look at the graph, which y values can the graph hit?
Anything above zero would be the right answer, since there is an asymptote at \(y=0\).
So the range would be \(y>0\)
Hope this helps.
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HELP ME PLEASE!!! How can you rewrite 5x - 3x to an addition expression? And what is the expression 5x - 3x in standard form?
Identify the number line that correctly displays the solution x ≥ 3.
The correct number line that displays the solution `x ≥ 3` would be:
<------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
●------------------------------------------------>
The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.
The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.
It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.
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(45%) A random sample of 58 college students shows that average weight is 139 lbs with a Standard deviation of 20 lb.
Answer:
Measure the heights and weights of a random sample of 15 students of the same sex. i think
Step-by-step explanation:
How many days are in 52 weeks?
Answer:
A year but -1.
Step-by-step explanation:
52x7=364.
Hope this helps!
Answer:
there are 364 days in 52 weeks.
Step-by-step explanation:
To find out how many days are in 52 weeks you have to multiply the amount of days there are in a week by 52, there are 7 days in a week and 7 times 52 is 364 so the answer is 364
If you can buy one bunch of seedless green grapes for $2, then how many can you buy with $18?
If you can buy 1 bunch of seedless green grapes for $2, then $18 we can buy 9 bunches.
The concept used here is a simple division to find out how many bunches of seedless green grapes can be purchased with a given amount of money.
In this case, we know the cost of one bunch of seedless green-grapes ($2) and we are given a total amount of money ($18) that we can spend on grapes. We can use division to find out how many bunches we can buy with that amount.
⇒ Number of bunches = ($18)/($2) per bunch,
⇒ Number of bunches = 9 bunches;
Therefore, with $18, you can buy 9 bunches of seedless green grapes.
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Need help asap any help would be much appreciated!
1. The first five terms of an arithmetic sequence are 4, 10, 16, 22, and 28. Which function f(x) could be used to describe the xth term of the sequence?
A f(x)=−6x+4
B f(x)=−6x−2
C f(x)=6x+4
D f(x)=6x−2
2. The graph of the function h(x) passes through the points (−1,12) and (3,7). Which equation could be used to describe this function?
A h(x)=−54x+434
B h(x)=52x+292
C h(x)=−52x+192
D h(x)=54x+534
3. Which equation could be used to describe the function represented by the data shown in the table below?
x f(x)
−5 −29
−1 −17
2 −8
7 7
9 13
A f(x)=−3x−20
B f(x)=9x+8
C f(x)=6x−35
D f(x)=3x−14
4. A freight train departs from one train station to its destination at a constant speed. Suppose the distance the train is from the station in miles is represented as a function of the number of hours after the train departed from the train station. If the graph of the function passes through the points (0.5,135) and (2,81), what is the distance between the train station and the freight train's destination?
A 189 miles
B 162 miles
C 171 miles
D 153 miles
5. The nth term of the sequence −5, 1, 7, 13, 19,... could be represented by the function f(n), while the nth term of the sequence 3, 8, 13, 18, 23,... could be represented by the function g(n). Explain which function has a greater slope.
A The function g(n) has a greater slope because the first term of the sequence represented by g(n) is greater than the first term of the sequence represented by f(n).
B The function f(n) has a greater slope because the first term of the sequence represented by f(n) is greater than the first term of the sequence represented by g(n).
C The function f(n) has a greater slope because the difference between each term in the sequence represented by f(n) is greater than the difference between each term in the sequence represented by g(n).
D The function g(n) has a greater slope because the difference between each term in the sequence represented by g(n) is greater than the difference between each term in the sequence represented by f(n).
Answer:
1.D:f(x)= 6x-2
2.A:h(x)= -5/4x+43/4
3.D:f(x)= 3x-14
4.D: 153 miles
5.C: The function f(n) has a greater slope because the difference between each term in the sequence represented by f(n) is greater than the difference between each term in the sequence represented by g(n).
Step-by-step explanation:
I took the quiz so I know that these are right.
help aced and expert giving 20 points
Simplify:
2
(
3
x
)
+
(
x
+
10
)
2(3x)+(x+10)
Answer:
7x+10
Step-by-step explanation:
2x(3x)+1x(x+10)
6x+1x+10
7x+10
Finx, inc, purchased a truck for $40,000. The truck is expected to be driven 15,000 miles per year over a five-year period and then sold for approximately$5000.
Determine depreciation for the first year of the trucks useful life by the street wine in units of output methods if the truck is actually driven 16,000 miles.
Round to two decimal places.
The depreciation for the first year of the truck's useful life is $32,000.
The cost of the truck is $40000.
The useful time is 5 years.
The residual value is $5000.
Now, the depreciation is given as:
SLM depreciation = (Cost - Residual Value) / 5 years
Depreciation expense per year = ($40,000 - $5,000) / 5
Depreciation expense for the first year = $7,000
Now,
The depreciation expense per mile is the difference between cost and residual value divided by expected miles over the truck's life.
Depreciation expense per mile = (Cost - Residual Value) / Expected miles over truck's life.
Depreciation expense = Depreciation expense per mile × Miles driven
Therefore,
Depreciation expense per mile will be:
= ($40,000 - $5,000) / 15,000 miles = $2.33 or $2
The first year depreciation will be:
= 16,000 miles × $2 per mile = $32,000
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A standard deck of 52 cards has 4 suits: clubs, spades, hearts, and diamonds. Each suit has number cards 2 through 10, a jack, a queen, a king, and an ace. The jack, queen, and king are considered "face cards".
What is the probability of drawing one card from a standard deck of cards and choosing a "face card"?
A. 1/3
B. 3/52
C. 1/4
D. 3/13
the probability of drawing one card from a standard deck of cards and choosing a "face card" is 3/13.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
There are 12 face cards in a standard deck of 52 cards (4 jacks, 4 queens, and 4 kings). So the probability of drawing a face card from a standard deck of cards is:
P(face card) = number of face cards / total number of cards
P(face card) = 12/52
Simplifying the fraction, we get:
P(face card) = 3/13
Therefore, the probability of drawing one card from a standard deck of cards and choosing a "face card" is 3/13.
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What is the volume of this shape in terms of π (PI)?
Answer:
Step-by-step explanation:
1/3 bh=96 pi/3=32 pi
Answer:
\(\displaystyle V = 32\pi \ in^3\)
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: \(\displaystyle V = \frac{1}{3} \pi r^2h\)
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 in
h = 6 in
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: \(\displaystyle V = \frac{1}{3} \pi (4 \ in)^2(6 \ in)\)Evaluate exponents: \(\displaystyle V = \frac{1}{3} \pi (16 \ in^2)(6 \ in)\)Multiply: \(\displaystyle V = \frac{1}{3} \pi (96 \ in^3)\)Multiply: \(\displaystyle V = 32\pi \ in^3\)What is the standard form of nine million, twenty thousand, twenty-nine
Answer:
9000000+20000+20+9
Step-by-step explanation:
As part of your research for writing a short and funny story, choose a Dr. Seuss book. Write the title of the book, state that the author is Dr. Seuss, write the name of the publisher, and create a list of the invented words you liked from the book. Also, include the stanza (or verse) that you thought was the funniest.
Then write a funny story using words you have invented. Upload the Dr. Seuss research and the final draft of your story.
Answer:
this is what I put please put it in your own words
Step-by-step explanation:
1. The title: Oh, the Places You'll Go!
2. Author: Dr. Seuss
3. Publisher: RANDOM HOUSE NEW YORK
4. Some invented words used in the book that you particularly like. Lurches, Slumps, Brains.
5. What the funniest stanza (for verse) in the book is, in your opinion. You have brainss in your head
II. Warm-up
butterfly butterflyfling
bridge bridgeamabob
bill billblingflingaling
III. Type a short, funny story using invented words for as many things as you can.
One day I was riding my horse and then I see carrot kids playing in the pasture and I asked to join them and the said yes.
Answer: You can use this whole paragraph if you want. I don't mind c:
Step-by-step explanation:
I. Independent research: Look up any Dr. Seuss book in your library and type the following information.
The title: The Lorax
Author: Dr. Seuss
Publisher: Random House Children's Books
Truffula Seed
“I am the Lorax. I speak for the trees. I speak for the trees for the trees have no tongues.”
II. Warm-up
1. Mouse
2. House
3. Spouse
III. Type a short, funny story using invented words for as many things as you can.
I went to a house in the woods and it was owned by a bird and a lion. They fed me porridge with crackers then put me down to sleep.
(I don't know what else to put but I hope that's good enough.)
I hope this helps you!! <3
The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
Select a box to identify whether each equation has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
- 2x + 3 = - 3x + 2
- 2x + 3= - 2x + 3
OO
- 2x + 3 = 2x + 3
Answer:
First Equation: One Solution
Second Equation: Infinite Solutions
Third Equation: One Solution
Step-by-step explanation:
Let's solve these equations step by step.
\(-2x+3=-3x+2\\\)
Subtract 2 and add 2x
\(1=-x\\x=-1\)
The only solution here is -1.
\(-2x+3=-2x+3\)
Anytime the equations are the same on both sides, we have infinite solutions.
Add 2x
\(3=3\)
Any value of x will satisfy this equation.
\(-2x+3=2x+3\)
Add 2x and subtract 3
\(4x=0\\x=0\)
The only solution here is 0.
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Find x and y -- if your answer is not a whole number, round to the tenths!
x =
y =
Answer: x = 10.57 and y = 15 degree
Step-by-step explanation:
Answer: x= 10 degrees
y= 15 degrees
Step-by-step explanation:
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
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 )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
The probability of tails of a weighted coin is 0.58. The number of tails is noted each of the 25 times the coin is tossed. If this procedure is repeated 150 times, what type of distribution is simulated
Answer:
It is a sampling distribution of the sample proportion for which n = 150 and p = 0.58
Step-by-step explanation:
Given -
Probability of tails of a weighted coin = 0.58
Number of tail is noted each 25 times
Repetition of procedure = 150 times
mean = p = 0.58
SD = Sqrt {p(1-p)/n}
Substituting the given values, we get -
SD = Sqrt {0.58(1 – 0.58)/150}
= 0.04029
It is a sampling distribution of the sample proportion for which n = 150 and p = 0.58
Answer:
The options are not given so these are the options:
- A binomial distribution with n = 25 and p = 0.58
- A binomial distribution with n = 2 and p = 0.58
- A sampling distribution of the sample proportion with n = 25 and p = 0.58
- A sampling distribution of the sample proportion with n = 150 and p = 0.58
- There is not enough information to determine the distribution.
Step-by-step explanation:
The answer is - A binomial distribution with n = 25 and p = 0.58.
I got it right on my test.
Good luck!
Mrs. Rockwell lost money on an investment at a rate of $4 per day. What is the change in her investment, due to the lost money, after 4 weeks?
Answer:
112.
Step-by-step explanation:
In four weeks there are 28 days. 4 times 28 is 112.
are labelas Lesson 10: Changing Scales in Scale Drawings Let's explore different scale drawings of the same actual thing. 10.1: Appropriate Measurements 1. If a student uses a ruler like this to measure the length of their foot, which choices would be appropriate measurements? Select all that apply. Be prepared to explain Inches Centimeters 2 Specials your reasoning 1 2 3 3 4 5 8 9 (X 10 Monday a 9-inches b.9 inches c. 23.47659 centimeters Tuesday d. 23.5 centimeters e. 23.48 centimeters
Given:
a student uses a ruler like this to measure the length of their foot as shown in the figure
The appropriate measurements are:
a) 9 1/4 inches
d) 23.5 Centimeters
So, the answer will be the options (a) and (d)
Because as shown: the small distance that can be measured by the rule is
0.1 cm or 1/8 inches
So, it will be appropriate to measure 9 1/4 inches or 23.5 cm
Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
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(2x + 3y)^2– (2x – 3y)^2
Hi,
(2x + 3y)² - (2x - 3y)²
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]
= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)
= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²
= 12xy
I hope it helped ✅(◠‿◕)
Solve each of the following equations and show how you checked your answers 2y+4y=6-3y
Answer:
y=2/3
Step-by-step explanation:
2y+4y=6-3y
⇔ 2y+4y+3y=6
⇔ 9y=6
⇔ y=6/9=2/3
The answer is:
y = 2/3
Work/explanation:
For now, I focus on the left side and combine the like terms:
\(\bf{2y+4y=6-3y}\)
\(\bf{6y=6-3y}\)
Add 3y to each side
\(\bf{6y+3y=6}\)
Combine like terms
\(\bf{9y=6}\)
Divide each side by 9
\(\bf{y=\dfrac{6}{9}}\)
\(\bf{y=\dfrac{2}{3}}\)
Hence, the answer is 2/3.
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
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