Complete question :
the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?
Answer:
2.5 fts, 14.4 fts
Step-by-step explanation:
Given that:
Scale of original blueprint : 2inches = 3 feets
To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :
Original scale : 2 inches = 3 feets
Original blueprint length = 14 inches
Then,
2 inches = 3 feets
14 inches = d
Cross multiply :
2d = 42
d = 21 feets
Hence, new scale for blueprint :
16.8 inches = 21 feets
2 inches = d
16.8d = 42
d = 2. 5 feets
For the width :
14 inches = 16.8 feets
12 inches = w
14w = 201.6
w = 201.6/14
Width = 14.4feets
PLEASE HELP ME I WILL FAIL IF YOU DON'T
Answer:
42 students
Step-by-step explanation:
70% of 100 students is 70 so 70 times 60%=4200. 4200/100=42
5 divided by 5/6.please help
Answer:
5 divided by 5/6=6
Last one lol. Could I have an explanation so I can understand and ty!
Answer:
(x,y)→(x+7,y)
Step-by-step explanation:
Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.
Im reallyyyy bad at explanations but hope this helped:)
-2 (2x + 11) = 5x + 14
Answer:
x=-4
Step-by-step explanation:
First, write the expression and distribute.
-2(2x+11)=5x+14
-4x-22=5x+14
Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.
-4x-22=5x+14
+4x +4x
-22=9x+14
Now, subtract 14 on both sides.
-22=9x+14
-14 -14
-36=9x
Divide both sides by 9.
-36=9x
/9 /9
-4=x or x=-4 (they both mean the same thing)
Have a wonderful day! I hope this helped :3
According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You have just been called for an interview. The reported mean and standard deviation of the test scores are 70 and 7, respectively. If test scores are normally distributed, what is the minimum score required for an interview?
Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
A bed frame normally weighs 60 pounds. A new, stronger material increases the duriability of the frame but makes it weigh 30% more. How many pounds does the new frame weigh
The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.
(a) Find the mean number of registered vehicles per California household.
Answer:
____vehicles
(b) Find the median number of registered vehicles per California household.
Answer:
___vehicles
Answer:
1). Mean = 2.275
2). Median = 2 vehicles
Step-by-step explanation:
From the given table,
Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.
0 11 0 11
1 52 52 63
2 66 132 129
3 35 105 164
4 19 76 183
5 12 60 195
6 5 30 200
[tex]\sum (f\times x) = 455[/tex]
Number of households = 200
Mean = [tex]\sum \frac{f.x}{n}[/tex]
= [tex]\frac{455}{200}[/tex]
= 2.275
Median = value of [tex]\frac{(n+1)}{2}th[/tex] observation
= value of [tex]\frac{201}{2}th[/tex] observation
= Value of 100.5th observation
= Since 100.5th observation lies in the row of cumulative freq. = 129
= 2
Therefore, median number of registered vehicles per California household
= 2 vehicles
Which one?
A or B.
Answer:
A) 600
Step-by-step explanation:
Sooo 3 x -5 = -15
then -4 x 10 = -40
Next -40 x -15 = 600
Since it's a negative times a negative the outcome is gonna be positive. Also I just broke down the problem into two parts and then multiplied the two answers together since it was called for.
Solve for g: 4gh+3=−8
Answer:
-2.75h-1
Step-by-step explanation:
1) what is the LCM of 3,5, and 10?
2)What are the numbers if the GCF of these numbers is 12?
Answer:
1)2⋅3⋅5=30 2 ⋅ 3 ⋅ 5 = 30 . 2)1, 2, 3, 4, 6, 12
Step-by-step explanation:
I’ll give you 10 points and brainley
Answer:
Srry bro this is way to blurry for me to read... Also dont show your password to randoms.
Step-by-step explanation:
Choose a point that can be added so that the relation will remain a function.
{ (-3,9), (-2,4), (2,4), (3,9) }
A.
(-2,8)
B.
(1,9)
C.
(2,10)
D.
(-3,0)
What is a trinomial in a problem
A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?
Answer:
1.91666667
Step-by-step explanation:
7 times 3/4 = 5.25
5.25 - 3 1/3 = 1.91666667
help me. I'm not very good at math
determine whether the given is a rational equation, rational inequality,rational, function
y = × + 3
I will mark if anyone answer these
wrong or no respect will be report
PLEASE HELP and solve
Y^2 - X when X = 6 and Y = 11
Answer:
When X = 6 and Y = 11, (Y^2 - X)=(11^2-6)=(121-6)=115)
Step-by-step explanation:
can any one help me plz
You buy a pair of jeans at a department store. A receipt, titled "Department Store". It shows the bill for a pair of jeans. Jeans, 39.99; Discount, negative 10.00; Subtotal, 29.99; Sales Tax, 1.95; Total, 31.94. The line at the bottom reads, Thank You. a. What is the percent of discount to the nearest percent? The percent of discount is %. b. What is the percent of sales tax to the nearest tenth of a percent? The percent of sales tax is %. c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent? The percent of markup is %.
Answer:
25%
6.5%
35%
Step-by-step explanation:
Given the invoice :
Bill for a pair of Jean
Jeans ______39.99
Discount ___ - 10.00
Subtotal ____ 29.99
Sales tax ____ 1.95
Total _______ 31.94
A) % of discount to the nearest %
Discount amount = % discount * price
10 = x% * 39.99
10/39.99 = x%
0.2500625 = x%
x = 0.2500625 * 100%
% discount = 25%
% of sales tax:
Sales tax amount = % tax * Subtotal
1.95 = x% * 29.99
1.95/29.99 = x%
0.06502 = x%
x = 0.06502 * 100%
x = 6.5%
Markup before discount = 60%
Markup after discount = (60 - 25)% = 35%
A scientist measures the change in the temperature of a chemical solution.
At the start of the experiment, the solution is at a temperature of -12.94°C.
The temperature changes by -1.9°C each hour.
What is the temperature of the solution after 4 hours?
Answer:
Since the temperature is -6 C after 3 hours when rounded to the nearest whole degree we have to do the following
Step-by-step explanation:
Temperatures= -14.96 and 2.9
Subtract to get the value=
Estimate the value to:
3+1=4
Thus, your answer is -7 C
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
what is 9 1/2 - 5 7/12 =
Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer:
47/12
Step-by-step explanation:
19/2-5 7/12= 19/2- 67/12=47/12
The area of a recalangle that is 8 feet long and 4 feet wide is
a 12 sq ft
b22 sq ft
c 32 sq ft
d 36 sq ft
Answer:
C is the answer! You're welcome
Answer:
C is your answer
Step-by-step explanation:
8 x 4 = 32 sq ft
Hope this helps! :)
Point Q (-3,2) is translated 4 units left and 2 units down. What is the ordered pair of Q' after this translation?
a.(-7,0)
b.(4,0)
c.(4,4)
d.(1,4)
e.(1,0)
(-7,4)
Answer:
A (-7,0)
Step-by-step explanation:
I just drew it cause it's way easier than typing out :)
There are 20,000 animals in a zoo. There are 650 mammals and 225 reptiles that live in the zoo. what fraction of all the animals are a)reptiles b)mammals
Answer:
You have to simplify to the lowest common denominator
Step-by-step explanation:
650/20000=13/400 mammals
225/20000=9/800 reptiles
875/20000=7/160 mammals or reptiles
Hope this helped
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
Step-by-step explanation:
[tex]\large\underline{\bf\red{Solution:-}}[/tex]
Given : ∠1 + ∠2 = 90° ( complementary )
To Find : The value of x & the two angles .
And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .
On adding the two Angles their sum will be 90 ° since they are two complementary angles .
⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .
⇒ 22x + 2° = 90° .
⇒ 22x = (90 - 2)°
⇒ 22x = 88° .
⇒ x = 88°/22 .
⇒ x = 4° .
Hence the value of x is 4° .
So ,
First angle = 8x - 6 = 8×4-6=32-6=26°Second angle = 14x +8 = 14(4)+8 = 56+8 = 64° .What are the three angle measures in the
triangle shown below?
5x - 7
11x – 4
3x + 1
2. A train starts its journey with 240 passengers.
144 of the passengers are adults and the rest are children.
(a) Write the ratio Adults: Children in its lowest terms.
[2]
(b) At the first stop, 37 % of the adults and of the children get off the train.
20 adults and x children get onto the train.
The total number of passengers on the train is now 200.
(i)
How
many children got off the train?
(ii)
How
many adults got off the train?
[1]
(iii) How many adults passengers are on the train as it sets off again? [1]
(iv) What is the value of x?
[1]
Answer:
i=52
ii=32
iii=54
iv=92
Step-by-step explanation:
Comment if you need explanation
Answer:
A. 3:2
B. 31 children
(i). 35 children
(ii) 53 adults
(iii) 111 adults 89 children
(iv) The value of x is 35.
Step-by-step explanation:
One taxi company charges $12.50 plus $0.15 per mile for a fare to the airport. Another taxi
company charges $6.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?
HELP ME PLEASE ‼️‼️‼️
Answer:
Step-by-step e I can use inequalities to solve word problems with one or more ... Money: The coupon is good for any item that costs less than $10. ... than or equal to ban ... Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. ... has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00.xplanation:
R(5. -4) reflect it across the y-axis.
Answer:
(-5,-4)
Step-by-step explanation:
reflection over y-axis makes (x,y) become (-x,y)