Answer:
0.6 in
Step-by-step explanation:
Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)
That is, ratio of the width on paper to actual width.
Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:
½ in : 15 ft = x in : 18 ft
[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]
[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]
[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]
[tex] \frac{1}{30} = \frac{x}{18} [/tex]
Cross multiply
[tex] 30*x = 18*1 [/tex]
[tex] 30x = 18 [/tex]
Divide both sides by 30
[tex] \frac{30x}{30} = \frac{18}{30} [/tex]
[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]
[tex] x = 0.6 [/tex]
Width of the stage in scale drawing = 0.6 in
bob is on his way home in his car. he has driven 30 miles so far, which is three-fifths of the way home. what is the total length of his drive?
The length of Bob's drive as a fraction = 5/5
Let the length of his total drive be = x
30 miles driven by Bob as a fraction =
= 3/5 of x = 30
= 3/5x = 30
= 5/x = 30 ÷ 3 ( transposing ×3 from LHS to RHS changes ×3 to ÷3 )
=5/x = 10
= x = 10 × 5 ( transposing ÷5 from LHS to RHS changes ÷5 to ×5 )
= x = 50
Now we have to see what is =
= 2/5 of 50
= 2/5 × 50
= 100/5
= 20 miles
So , total length of Bob's drive = 30 miles + 20 miles = 50 miles .
∴ The total length of Bob's drive is 50 miles .
1. Diane's Sweet Treats can make 24 cupcakes using 16 ounces of whipped
icing. How much icing is used on each cupcake?
a. 1/6 ounce of icing per cupcake.
b. 2/3 ounce of icing per cupcake.
c. 1/2 ounce of icing per cupcake.
d. 3/4 ounce of icing per cupcake.
Answer:
b. 2/3 ounce of icing per cupcake.
Step-by-step explanation:
Given parameters:
Number of cupcakes = 24 cupcakes
Ounces of whipped icing = 16 ounces
Unknown:
How much icing was used in each cupcake = ?
Solution:
To find the number icing used per cupcake;
= [tex]\frac{number of ounces of whipped icing}{Number of cupckakes}[/tex]
Input the parameters;
= [tex]\frac{16 ounce of icing }{24 cupcake}[/tex]
= [tex]\frac{2}{3}[/tex] ounce of icing per cupcake
w(−4+z)=mz+17
solve for z
Find the integers that are closest to 65 (the number in the middle)
Step-by-step explanation:
Divisors of the Positive Integer 65:
1,5,13,65
Sum of all the Divisors of 65, including itself:
84
Sum of the Proper Divisors of 65:
19
Properties of the number 65:
The integer 65 is an odd number.
The integer 65 is a Composite number.
19 is less than 65, so 65 is a deficient number.
Two students missed a lot of school. One student missed every 4 days and the other students missed every 6 days. In 60 days how many times will they miss school at the same time?
LCM
Beleaguered State Bank (BSB) holds $400 million in deposits and maintains a reserve ratio of 10 percent.
PLEASE HURRY AND HELP ME!!!!
The number, u, of tickets sold for an upcoming concert is four times the number, w, of tickets sold for the last concert.
Which equation best represents this situation
A U= w + 4
B U=W + 4
C U= 4W
D U= 4U
Answer:
C
Step-by-step explanation:
just cuz I said buster
The state of California collected $103.0 billion in personal tax for 2019. The population
in California is about 39.50 million people. Round all scientific answers with two decimals
with no spaces.
Write the personal tax in scientific notation. 1 point Debt:
Write the population in scientific notation. 1 point Population:
Calculate the Personal Tax Per Capita and write your answer in standard notation. Round
to a whole number. 2 points
Use the personal tax per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
a. The personal tax collected for 2019 is $103.0 billion.
The tax in scientific notation = $1.03 x [tex]10^{11}[/tex]
b. The population in California is 39.50 million people.
The population in scientific notation = 3.95 x [tex]10^{7}[/tex]
c. Assuming that the whole population of people in Califonia are working i.e employed, the the Personal Tax Per Capita can be determined by;
Personal Tax Per Capita = [tex]\frac{income tax revenue}{taxable population}[/tex]
= [tex]\frac{103000000000}{39500000}[/tex]
= 2607.595
= 2.61 x [tex]10^{3}[/tex]
= 3.00 x [tex]10^{3}[/tex]
d. Therefore provided that the whole population of people in California for 2019 are employed, then each person pays an average of $2607.595 per annum in the year 2019.
Question 2
1 pts
Between what two consecutive whole
numbers does
Square root212
lie?
ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?
Answer:
42
It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.
But at least its correct.
Ms. Smith still have 42 ounces of candy in her bag.
What is Subtraction?To subtract means to take away from a group or a number of things.
Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.
1 pound = 16 ounces
She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds
3 pounds = 16*3 ounces = 48 ounces
She ate 6 ounces of candy
Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.
Hence, Ms. Smith still have 42 ounces of candy in her bag.
For more references on Subtraction, click;
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The midpoint of xy is located at the origin
Answer:
Is there supposed to be an image?
Step-by-step explanation:
Select all choices that describe rectangles with same area that are NOT congruent.
Answer:
Where are the options? This is kinda broad..
Answer:
Step-by-step explanation:
Plz help
What is |5 x -3|?
-15
⊝
-8
⊝
15
⊝
8
Answer:
What type of math is this
Step-by-step explanation:
I need help asap! Ill make you brainiest if answer
Answer:
43
Step-by-step explanation:
5 × 3 - 7 × -4 =
15 - - 28 =
15 + 28 = 43
Answer:
43
Step-by-step explanation:
5a - 7b if a = 3 and b = -4
= 5(3) - 7(-4)
= 15 - -28
= 15+28
= 43
The original price for a jacket is $124.95. It is on sale for 20% off. Which of the following gives the best estimate of the savings?
Answer:
24.99
Step-by-step explanation:
We first must figure out the current price of the jacket, we need to multiply the original price (124.95) times .80 (1.00 - .20). Doing so we get a total of 99.96. In order to find the savings, we subtract the original price by the new price. 124.95-99.96 = a savings of 24.99
Answer:
You would be saving 24.99 dollars
Step-by-step explanation:
Find 20% of 124.95 using P(percentage in decimal form) times X(original number) and you should have your answer.
Hope this helps!
What is the Y intercept of the line graphed on the grid
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, [tex] y = mx + b [/tex], where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4} [/tex].
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
[tex] y = mx + b [/tex]
[tex] 1 = -\frac{3}{4}(6) + b [/tex]
[tex] 1 = -\frac{18}{4} + b [/tex]
[tex] 1 = -4.5 + b + 4.5 [/tex]
[tex] 1 + 4.5 = -4.5 + b + 4.5 [/tex]
[tex] 5.5 = b [/tex]
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
The graph displays the function g(x) = Equals 2 cosine (x + StartFraction pi Over 2 EndFraction) minus 2.
Which function h(x) results when g(x) is translated StartFraction 7 pi Over 8 EndFraction units right and 1 unit down?
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 3
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3
On a coordinate plane, a function has a maximum of 0 and minimum of negative 4. It completes one period at 2 pi. It decreases through the y-axis at (0, negative 2).
Answer:
its b on edge 2021
Step-by-step explanation:
The required function h(x) is [tex]h (x) = 2 cos (x + \frac{11\pi }{8} ) - 3[/tex] . Option d is correct.
Function g(x) = [tex]2 cos (x +\frac{\pi }{2} )- 2[/tex]
Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.
Here, the phase of the curve is increase by 7π/8.
So the phase = π/2 + 7π/8
= 11 π/8
And Shift of curve along y axis is by -1.
So, the total shift = -2-1
= -3
⇒ h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex]
Thus, h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex].
Learn more about trigonometry equations here:
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PLEASE HERRy i have to finish
Answer:
:)
Step-by-step explanation:
Rewrite using i. Show your work.
In other words it’s....?
Answer:
ummmmmwm whatttt
Step-by-step explanation:
vbbbbhh
13 - (-4) it won’t answer my question
Hi! I believe your answer is 17 because when two negative signs are next to each other, they make a positive sign, except if the expression has absolute value. Ex: 13- |-4|. So, 13+4=17. I hope this helps you! Good luck and have a great day. ❤️
What is the slope of the line shown below? (-4, 3) and (3, 1)
Answer:
did u attach a pic of the graph or smth?
Answer:
Step-by-step explanation:
slope of line passing through (-4,3) (3,1)
= (3-1)/(-4-3)
= -2/7
Given the following equations of lines, are the lines Parallel, Perpendicular or Neither? y = 5x -2 and y = 5x + 4 *
Answer:parallel
Step-by-step explanation:
Piper and her children went into a movie theater and she bought $59.50
bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs
$4.25. She bought 8 more candies than bags of popcorn. Graphically solve a system
of equations in order to determine the number of bags of popcorn, x, and the number
of candies, y, that Piper bought.
6 candy boxes
Step-by-step explanation :
Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.
(2*8) + 1.50x = 25
16 + 1.50x = 25 ... subtract 16 from both sides
1.50x = 9 ... divide both sides by 1.50
x = 6
Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.
Answer:
This is the answer on Delta Math
Step-by-step explanation:
7y + 5 = 54 what is y
Answer:
7
Step-by-step explanation:
7x7=49+5=54
Answer:
y = 7
Step-by-step explanation:
Alrighty, here we go!
First step is to subtract 5 from 5 and from 54. Cancel out the 5's.
After doing so, you have 7y = 49.
Now, divide 7 from 7y and from 49. Cancel out the 7's.
Now you have y = 7
There is your answer!
Mark brainliest if possible please :)
Find the value of 45\75=5
Answer:
.6
Step-by-step explanation:
Pls help I don’t know how to do this.
Answer:
If they are across from each other the angles are the same so divide 81 by 3 and thats your x value, so its 27
Please find the area
Answer:
the answer is 6cm like its really obvious
PLEASE SOLVE! WILL GIVE BRAINLIEST FOR FIRST RIGHT ANSWER (WITH EXPLANATION, NOT WITHOUT). *Explanation doesn't need to be big.
In the figure it is impossible to measure segment AB. So point C is drawn, forming ∆ABC, where sides AC and BC can be measured. Segments AC and BC are extended, resulting in segments AD and BE, where C is the midpoint of both. Prove ED is congruent to AB.
△ABC≅△___ by reason _____ (AAA, ASA/SAA, Cannot Be Determined, SAS, SSS)
Answer:
Step-by-step explanation:
From the given picture,
AD and BE are the lines intersecting at a point C.
Point C is the midpoint of these lines.
From ΔABC and ΔDEC,
AC ≅ CD
CE ≅ CB
And ∠ABC ≅ ∠DEC [Vertical angles]
Therefore, ΔABC ≅ ΔDEC [By SAS property of congruence]
And AB ≅ ED [Since, ΔABC ≅ ΔDEC]
what is the slope of this line -1/3, -2/3,2/3,1/3
Answer:
(-5,9),(3,0)
(0,1),(1,0)
(1,2),(3,4)
Step-by-step explanation:
I hope this helps!
Answer: It's 2/3
Step-by-step explanation: