Answer:
A. 13.5ft
Step-by-step explanation:
Ju Chan solved the previous question by finding the expression 4(-15). Which addition problem would give the same result? Choose all that apply. A . 15 + 15 + 15 + 15
A . 15 + 15 + 15 +15 B . 4 + 4 + 4 + 4
C . (–1)(15 + 15 + 15 + 15)
D . (–15) + (–15) + (–15) + (–15)
Answer:
C. (-1)(15+15+15+15)
D. (-15)+(-15)+(-15)+(-15)
Step-by-step explanation:
The original expression: 4(-15)=-60
Let's try choice A: 15+15+15+15=60(not a negative number, so does not work)
Let's try choice B: 4+4+4+4=16(nowhere near -60)no
Let's try choice C: (-1)(15+15+15+15)=(-1)(60)=-60--yes
Let's try choice D: (-15)+(-15)+(-15)+(-15)=-60--yes
Only choices C and D work.
Answer:
c and d
Step-by-step explanation:
just did it
WILL MARK BRAINLIEST An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front of the house to measure 60 feet long. The architect's sketch shows that the front of the house has a length of 15 inches. Determine the factor of dilation used by the architect as he created the scale drawing for his customer. In your final answer, include all of your calculations.
Answer:
The scale factor is 1/48
Step-by-step explanation:
First, we need to convert 60 feet to inches.
60 feet = 720 inches
Then, we divide 720 by 15
720/15= 48.
The scale factor is 1/48.
The scale factor of dilation is given by the proportion and A = 48
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
We can use the ratio of the lengths of the corresponding sides to find the scale factor or dilation factor used by the architect.
Let A be the factor of dilation used by the architect. Then we can set up the following proportion:
60 feet / A = 15 inches / 1
We can solve for x by cross-multiplying:
60 feet x 1 = A x 15 inches
A = (60 feet) / (15 inches)
We need to convert feet to inches to get the units to match:
A = (60 feet) / (15 inches) x (12 inches / 1 foot)
Simplifying, we get:
A = 720 / 15
A = 48
Hence , the architect used a scale factor of 48 when creating the scale drawing of the house
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Plz help 7th grade math ASAP
Answer:
6
Step-by-step explanation: think of it this way. When you adding a positive to a negative, you simply taking the negative away from the positive. So in this case, you are subtracting 2 from 8 to get six. Or, its the difference between the positve and the negative!! Hope this helps!
Answer:
6
Step-by-step explanation:
Simplify: 8 + (-2) = 8 - 28 - 2 = 6I hope this helps!
In how many distinct ways can the letters of the word DALLAS be arranged?
Answer:
720ways
Step-by-step explanation:
DALLAS = 6!
6x 5 x 4 x 3 x 2 x 1
720 ways
The letters of the word DALLAS can be arranged in 720 distinct ways.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbdistinctn event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
A word has n letters. then there are m repeating letters, each of them repeating r0, r1, r2.. times
So the number of distincts ways the letters DALLAS can be arranged are:
DALLAS = 6!
= 6x 5 x 4 x 3 x 2 x 1
= 720 ways
The letters of the word DALLAS can be arranged in 720 distinct ways.
Learn more about multiplications;
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solve for h
can someone please answer and explain thank you <33
Answer: [tex]h=\frac{2A}{(a+b)}[/tex]
Step-by-step explanation:
To solve for h, we want to get h alone. We need to use our algebraic properties.
[tex]A=\frac{1}{2} h(a+b)[/tex] [multiply both sides by 2]
[tex]2A=h(a+b)[/tex] [divide both sides by (a+b)]
[tex]h=\frac{2A}{(a+b)}[/tex]
Now that we have h alone, we know that [tex]h=\frac{2A}{(a+b)}[/tex].
Use scientific notation to find the product of 20.5 × 10^7 and 0.000036.
73.8 × 10 2
7.38 × 10 2
5.69 × 10 12
7.38 × 10 3
identify the perfect square that is closest . ex square 76 ; 81 ;8 ,9
Answer:
Perfect squares = 9 and 81
Step-by-step explanation:
[tex]\sqrt{76} = 2\sqrt{19} \\\sqrt{81} =9\\\sqrt{8} =2\sqrt{2} \\\sqrt{9} =3[/tex]
Ms. Rangtonsmith make $25 dollars an hour. Her boss will be giving him a raise that is 1/5 of her current salary. How much money will Ms. Rangtonsmith be making AFTER he gets a raise?
Answer:
Ms. Rangtonsmith will get $30 after raise
Step-by-step explanation:
Current salary = $25
raise = 1/5 of current salary
substituting current salary with $25
raise in dollar value = 1/5 of $25 = 1/5 *$25 = $5
Thus, raise is $5
total salary after raise will be sum of current salary and raise
total salary after raise = $25 + $5 = $30
Thus, Ms. Rangtonsmith will get $30 after raise
Solve for x. 3(2x - 2) = 21 + 3x
15 5 20 9
Answer:
x=9
Step-by-step explanation:
3(2x - 2) = 21 + 3x
Divide each side by 3
3/3(2x - 2) = 21/3 + 3x/3
2x-2 = 7+x
Subtract x from each side
2x-2-x = 7+x-x
x-2 = 7
Add 2 to each side
x-2+2 = 7+2
x = 9
what doesIf 7! = 7x6x5x4x3x2x1 then 5! =
Answer:
Step-by-step explanation:
5!=5*4*3*2*1=20*6=120
Answer:
Hey!
5! Is equal to 5×4×3×2×1
So your answer is 120!
Step-by-step explanation:
7! Is 5040!
HOPE THIS HELPS!
x^2+y^2=25 Y= 2x - 5
What are the x coordinates
Answer:
(0, -5) and (4, 3)
Step-by-step explanation:
I assume you're looking for the coordinates of the intersections, if any.
Solve by substitution:
x² + (2x − 5)² = 25
x² + 4x² − 20x + 25 = 25
5x² − 20x = 0
5x (x − 4) = 0
x = 0 or 4
So the coordinates are (0, -5) and (4, 3).
Solve the problem
19-c=-10
Answer:
c=29
Step-by-step explanation:
19 - 29 = -10
Is 12 + 6 + 15= 12 +15+6 commutative property of addition
Answer:
yes
Step-by-step explanation:
answer above
if 10 students each own 10 pencils, which expression matches how many in total pencils they?
10×10=100
there is 100 pencils in total
Find the following Key Features of the Graph. Please submit a picture of your work or a
typed document with your work. Thank you..
1) Domain:
2) Range:
3) Positive Interval(s): I
4) Negative Interval(s):
5) Increasing Interval(s):
6) Decreasing Interval(s):
7) X-Intercept(s):
8) Y-Intercept(s);
Answer:
lo i just gto 100 %
Step-by-step explanation:
lets do dad i love you
A random sample of 100 cars was taken and data were recorded on the miles per gallon (mpg) in the city and on the highway. The mean city mpg was 28 with a standard deviation of 9.2. The mean highway mpg was 35 with a standard deviation of 8.6. The correlation coefficient between city mpg and highway mpg is 0.95. Although a scatterplot is not show, it has been determined that a linear equation is appropriate for the data. Determine the correct value of the slope for the linear model that predicts highway mpg based on city mpg and interpret it in context.
Answer:
0.89
Step-by-step explanation:
Nunber of samples = 100
City mpg :
Mean = 28
Standard deviation =9.2
Highway mpg:
Mean = 35
Standard deviation = 8.6
correlation Coefficient (r) between city mpg and highway mpg = 0.95.
The value of the slope of the regression line that predicts highway mpg based on city mpg can be obtained by:
(Standard deviation of highway mgp / standard deviation of city mpg) × correlation Coefficient
Slope = (8.6 / 9.2) × 0.95
Slope = (0.934782 × 0.95) = 0.8880
Slope = 0.89 ( two decimal place)
if X = a^1/3 - a^-1/3 , show that x^3 + 3x = a - 1/a
Answer:
Step-by-step explanation:
Hello,
[tex](a^{1/3}-a^{-1/3})^3=a-3a^{1/3}+3a^{-1/3}-\dfrac{1}{a}=-3x+a-\dfrac{1}{a}\\\\<=> x^3+3x=a-\dfrac{1}{a}[/tex]
Thanks
What is the slope of the line that passes through the points (-8, -1) and
(-12,-2)? Write your answer in simplest form.
Answer:
3/20
Step-by-step explanation:
use slope form
-1 - -2 over -8 - -12
What details can you determine about the dive from the coordinates of the point (5, −8)?
Answer:
(See explanation below for further details)
Step-by-step explanation:
A. What details can you determine about the dive from the coordinates of the point (5, -8)?
First component corresponds to time and second component to depth with respect to sea level. The diver is 8 feet below sea level at 5 seconds.
B. What is the average speed of the diver in the water? How can you tell from the graph?
The average speed of the diver ([tex]\bar v[/tex]), measured in feet per second, can be calculated by the following expression:
[tex]\bar v = \frac{x_{f}-x_{o}}{t_{f}-t_{o}}[/tex]
Where:
[tex]x_{o}[/tex], [tex]x_{f}[/tex] - Initial and final depth of diver, measured in feet.
[tex]t_{o}[/tex], [tex]t_{f}[/tex] - Initial and final instant, measured in seconds.
There are three different average speeds: (i) Descent ([tex]t = 1\,s[/tex] to [tex]t = 5\,s[/tex]), (ii) Ascent ([tex]t = 5\,s[/tex] to [tex]t = 9\,s[/tex]), (iii) Descent + Ascent ([tex]t = 1\,s[/tex] to [tex]t = 9\,s[/tex])
(i) Descent ([tex]t = 1\,s[/tex] to [tex]t = 5\,s[/tex])
[tex]x_{o} = 0\,ft[/tex] and [tex]x_{f} = -8\,ft[/tex]
[tex]\bar v_{i} = \frac{-8\,ft-0\,ft}{5\,s-1\,s}[/tex]
[tex]\bar v_{i} = -2\,\frac{ft}{s}[/tex]
(ii) Ascent ([tex]t = 5\,s[/tex] to [tex]t = 9\,s[/tex])
[tex]x_{o} = -8\,ft[/tex] and [tex]x_{f} = 0\,ft[/tex]
[tex]\bar v_{ii} = \frac{0\,ft-(-8\,ft)}{9\,s-5\,s}[/tex]
[tex]\bar v_{ii} = 2\,\frac{ft}{s}[/tex]
(iii) Descent + Ascent ([tex]t = 1\,s[/tex] to [tex]t = 9\,s[/tex])
[tex]x_{o} = 0\,ft[/tex] and [tex]x_{f} = 0\,ft[/tex]
[tex]\bar v_{iii} = \frac{0\,ft-0\,ft}{9\,s-1\,s}[/tex]
[tex]\bar v_{iii} = 0\,\frac{ft}{s}[/tex]
C. Which point on the graph shows the starting location of the diver?
The initial location is when [tex]t = 0\,s[/tex], which corresponds to the intercept of the line on y-axis.
Flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet. What is the probability that a carpet that is 8 feet by 14 feet contains no flaws
Answer:
Probabilty= 0.0015355
Step-by-step explanation:
Flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet.
Probabilty= 1/270
Probabilty= 0.0037
carpet that is 8 feet by 14 feet
Area=8*14
Area=112 square feet
Probabilty= 0.0037*(112/270)
Probabilty= 0.0037*0.415
Probabilty= 0.0015355
solve for x if 10/4x-3 = 2
Answer:
We need to solve this equation:
[tex]\frac{10}{4x}-3=2[/tex]
We pass -3 to the right summing:
[tex]\frac{10}{4x} = 2 + 3[/tex]
[tex]\frac{10}{4x}=5[/tex]
We pass the 4x that is dividing to the right multiplying:
[tex]10 = 5*4x[/tex]
[tex]10=20x[/tex]
We pass the 20 of the right to the left dividing:
[tex]\frac{10}{20}=x[/tex]
[tex]x=\frac{1}{2}[/tex]
Now, we know [tex]x=\frac{1}{2}[/tex], so we can verify:
[tex]\frac{10}{4*\frac{1}{2}}-3 = 2[/tex]
[tex]\frac{10}{2}-3=2[/tex]
[tex]5 - 3 = 2[/tex] TRUE
Answer:
Kindly see attached picture
hope it helped you:)
Which expression shows
8 less than the product of
4 times 7?
A: 7 + 7 - 8
C:4x7 - 8
B:8-4x7
D: 4X 7 + 8
Answer:
8 less than the product of 4 times 7 is....
8-4×7.
Answer:
i think b cuz it shows 8 less means minus than product of 4 × 7 so it shows the answer b
At a sale this week a suit is being sold for $323. This is a 32% discount from original price. What is the original price
Answer:
$475
Step-by-step explanation:
Make an algebraic expression
Find the equation of a line containing the given points (4,3) and (8,1). Write the equation in slope-intercept form.
Answer:
y= -1/2x +5
Step-by-step explanation:
You just bought a new car from a dealership that sells cars no older than 2015. Consider the relationship to be the same age." The relation is "same age and the set is cars made in 2015, 2016, 2017, 2018, 2019, and 2020.
(a) Prove that this relation is an equivalence relation.
(b) Describe the partition defined by the equivalence classes.
Answer:
dont list me i wont points
Step-by-step explanation:
duejcju4484574
1. 25p=100 2. 35=-2x-15
• Answer:
p = 4
x = - 25
• Step-by-step explanation:
25p = 100
p = 100÷25
p = 4
35 = - 2x - 15
2x = - 35 - 15
2x = - 50
x = - 25
Answer:
1) P= 4 2) x = -25
Step-by-step explanation:
25p = 100
divide both sides by 25
p = 4
35 = -2x - 15
add 15 to both sides
50 = -2x
divide both sides by -2
x = -25
Hope this helps!
Beverly has a backyard that is square. One of the sides is 10 feet long. What is the area of her back yard?
Answer:
100 ft sq.
Step-by-step explanation:
A square means all sides are equal.
Area = bxh
10 ft x 10 ft = 100 ft sq.
Answer:
The area is 100 ft^2
Step-by-step explanation:
A square has 4 equal sides so if one side is ten then all of the sides are 10
If the perimeter of the
rectangle is 36 inches,
what is the value of x?
X-3
7x+5
Answer:
x = 2
Step-by-step explanation:
To find the value of x, we simply need to use the know values for the lengths, widths, and perimeter of the rectangle.
The formula for the perimeter of a rectangle is as follows:
P = 2L + 2W
Where P is the perimeter, L is the length, and W is the width.
Let L = 7x + 5 and W = x - 3
Now, we will simply plug our values into the formula and solve for x.
P = 2L + 2W
36 = 2 ( 7x + 5 ) + 2 ( x - 3 )
36 = 14x + 10 + 2x + -6
36 = 16x + 4
32 = 16x
2 = x
Thus, we have found the value of x to be 2.
Cheers.
The Lions football team gained 20 yards after having lost 8 yearson the previous play. What was their net gain or loss for the two plays?
Answer:
Net gain = 12 years(point)
Step-by-step explanation:
The Lions football team gained 20 yards after having lost 8 yearson the previous play.
Years(point) gained= 20
Years(point) loss= 8
The net gain for the two plays
Net gain = gain - loss
Net gain = 20-8
Net gain = 12 years(point)
A supermarket has 148 shrubs on their property, but they are having trouble mowing grass so they need to pay to have cut down shrubs each year until the property has less than 30 shrubs. If they can pay to have only three shrubs cut down this year, but six shrubs cut down every year after that, in how many years will they have less than 30 shrubs on their property?
Answer: 21 years
Step-by-step explanation: After the first year, it’s down by 3 so 145. For the next 20 years, you go down 6 shrubs a year. At year 20 it will be 31 shrubs so at year 21 it will be at 25 shrubs.
Answer:
21 years.
Step-by-step explanation:
All equations are written in bold so you can find them easier.The first thing we do is subtract the 3 shrubs from the first year from the total 148.
148 - 3 = 145
We then take 29 from 145, as the supermarket wants less than 30 shrubs on their property, so the maximum amount they want to keep is actually 29.
145 - 29 = 116
The supermarket can pay to have 6 shrubs cut down every year, excluding the first, so we need to do then is divide 116 by 6.
116 ÷ 6 = 19.333.
Because that equation leaves us with a decimal, we have to round up to get a whole number because the answer has to be in years, not years and months.
19.333 rounded up is 20.
So that's 20 years of paying for 6/per year. We have to add on the one year they only payed for 3 shrubs to be cut down, making the answer;
21 years.We can further confirm we have the right answer by doing;
6 × 20 = 120
145 - 120 = 25
Because we're going down in 6's, we know that 20 is the lowest amount of years it would take to get less than 30 shrubs, because 25 + 6 = 31.