Answer:
62
Step-by-step explanation:
775 steps divided by 12.5 minutes is 62 steps per minute.
If line L is parallel to line M, solve for x and y
Answer:
x = 18, y = 5
Step-by-step explanation:
Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal. Thus, 7x - 23 = 49 + 3x, or -72 = 2x. Thus,
4x = 72 and x = 18.
Check: Is 7x - 23 = 49 + 3x true when x = 18?
7(18) - 23 = 49 + 3(18)?
103 = 103? yes
Also: If we concentrate on the triangle in the middle of the picture:
49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)
Then: 49 + 180 + 23 - 7x + 11y - 1 = 180. But x = 18, so we have:
125 + 11y = 180, or 11y = 55, and so y = 5
A 12 foot fence on the property line casts a 25 foot shadow on the shortest day of the year, and the north side of the house is set back 60 feet from the property line.
Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.
The height of the house is 28.8 feet.Reasons:
The given parameters are;
Height of the fence = 12 foot
Length of the shadow cast by the fence = 25 foot
Distance of the house from the property line = 60 feet
The maximum allowable height for the house.
Solution:
Using similar triangles, we have;
[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]
Which gives;
[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]
[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]
The height of the house = 28.8 feet
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Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.
5.
Use the quadratic function to predict f(x) if x equals 2.
f(x) = −3x^2 + 180x − 285
A. f(2) = 111
B. f(2) = 63
C. f(2) = 87
D. f(2) = 125
Answer:
B. f(2) = 63
Step-by-step explanation:
f (x) = -3x2 + 180x - 285
For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.
We have to replace:
f (2) = -3 * (2) ^ 2 + 180 * (2) - 285
f (2) = 63
Answer:
the value of pa for x = 2 is:
f (2) = 63
please help me 8x-3+4x+3
Answer:
12xStep-by-step explanation:
please help me 8x-3+4x+3
8x - 3 + 4x + 3 =
8x + 4x - 3 + 3 =
12x
Answer:
12x
Step-by-step explanation:
1. To simplify this expression, we must group like terms.
[tex](8x + 4x) + (-3 + 3)[/tex] [tex]12x + (-3+3)[/tex] [tex]12x[/tex]Therefore, the answer is 12x.
Help u guys plssss number 8
Answer:
27
Step-by-step explanation:
Note : -
That square like symbol at the intersection of two lines is 90°.
( 4x - 18 )° and 90° are corresponding angles.
Corresponding angles are equal since lines
a & b are parallel.
4x - 18 = 90
4x = 90 + 18
4x = 108
x = 108 / 4
x = 27
29 students made the honor roll on their first quarter report card this quarter there were 40 students who achieved at the server determine the percent of change and whether it is an increase or decrease
9x^2-(3x+1)(4x-5)+1+6x=0
Answer:
x = -1/3 or x = 6
Step-by-step explanation:
For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.
The show gave a 10% discount for students. The full ticket price is $30. How much was the students price?
Answer:
$27
Step-by-step explanation:
You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.
Answer:
$3
Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3
Can someone help me pls!? Question 5 (Essay Worth 5 points) Determine the answer to (-5) + 4 and explain the steps using a number line
Answer:
-5+4= -1
Step-by-step explanation:
On a number line, look at -5, then add 4 to that, aka moving it up 4 places. -1 would be where it ends up.
Mrs. Johnson weighs her suitcases ready for her holidays. It weighs 7.3kg. She takes out shoes that weigh 2.6kg. how heavy is her suitcase now
Answer:
4.7kg
Step-by-step explanation:
since when ready it is 7.3
subtract
7.3_2.6
Therefore the answer is4.7kg
BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Plzzz help meeee plzzzzzz
Answer:
a) $560
b) 80%
c) $1134
Step-by-step explanation:
a)The profit is the difference between selling price and cost price:
profit = $1260 -700 = $560
__
b)As a fraction of the cost price, the profit is ...
$560/$700 × 100% = 80% . . . . of the cost price
__
c)A 10% discount from the selling price makes it ...
$1260 × (1 -10%) = 0.90×$1260 = $1134
A student will pay $1134 for a calculator.
A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.
Answer:
it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test
The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.
How to find the relative frequency?Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The given data from the table as follows;
The subgroup count of the column = 120
The total count = 500
Let x be the relative frequency
The relative frequency is found as;
[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]
Therefore, the value of x is 0.24. So, Option C is correct.
To learn more about the frequency table;
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A group of 169 students needs to be seated in a square formation for a
yearbook photo. Solve the equation N² = 1,024 to find how many students
should be in each row. ASAP
We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-
[tex]r = \sqrt{169} = 13[/tex]
Then, a square of 13 rows and 13 columns will fit the 169 students.
If the number of students is 1024, then the number of rows N can be calculated as :-
[tex] {N}^{2} = 1024[/tex]
[tex]N = \sqrt{1024} [/tex]
[tex]N = 32[/tex]
Final Answer :-169 students will seat in a 13×13 formation.
1024 students will seat in a 32×32 formation (N=32)
-------------------★-------------------
11/12 x 24 + 16/3 - 9/4 =
Answer:
301/12Step-by-step explanation:
can someone help???
Answer:
dilation by a factor of 1/3 about the origin
Step-by-step explanation:
Triangle B has 1/3 the dimensions of triangle A, and it is 1/3 as far from the origin. The transformation of interest is ...
dilation by a factor of 1/3 about the origin
What is Calculus ???
Answer:
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Answer:
The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.
Step-by-step explanation:
If I have 4 magazines, and each magazines has 13 bullets, And there are 30 people in class and you need 4 bullets for each person. How many people get 4 bullets.
Answer:
13Step-by-step explanation:
4 magazines, and each magazines has 13 bullets:
4*13 = 52 bullets4 bullets for each person:
52/4 = 13 peopleFind the missing side K
K
53
45
Answer:
k=28
Step-by-step explanation:
Need help fast i have a test tomorrow and i need to get ready
Question there asking:examine (a), (b), and (c) and select the best answer.
(a) 1 / 5 of 30 (b) 1 / 4 of 20 (c) 1 / 3 of 15
Answer:
a) 6
b) 5
c) 5
Step-by-step explanation:
In this context, "of" means "times."
a) 1/5 of 30 = 1/5×30 = 30/5 = 6
b) 1/4 of 20 = 1/4×20 = 20/4 = 5
c) 1/3 of 15 = 1/3×15 = 15/3 = 5
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a.
Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:
(2a-1+a+7)/2 = 17
(3a +6)/2 = 17
3a + 6 = 34
3a = 28
a = 9[tex]\frac{1}{3}[/tex]
Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
(−4/3)⋅(−1/3)⋅1.2 answer plz
Answer:
= .533
Step-by-step explanation:
(−4/3)•(−1/3)= .44
.44•1.2=.533
Find HGI, FGH and FGI I’ll mark the brainiest
Answer:
∠FGH = ∠HGI = 29°
∠FGI = 58°
Step-by-step explanation:
GH is marked as an angle bisector, so we have ...
∠FGH = ∠HGI
2x -9 = 3x -28
19 = x . . . . . . . . . . . . add 28-2x to both sides
Of course, the angle FGH is the sum of its parts. Then the angle measures are ...
(2x -9)° = (2·19 -9)° = 29°
∠FGH = ∠HGI = 29°
∠FGI = 58°
Rose spent 124 on 10 cars & 4 cats what is the cost for 1 car & 1 cat.
Answer:
$6 per cat, $10 per car
Step-by-step explanation:
I guess and checked my work.
Jillian and Camilla need 5 feet of ribbon to make a craft. Jillian has 2 4/5 feet of ribbon. Camilla has 2 3/5 feet of ribbon. How much ribbon do they have altogether? Select all that apply. *
Answer:
5 2/5 ft
Step-by-step explanation:
2 4/5 + 2 3/5 = 4 7/5 = 4 + 5/5 + 2/5 = 4 + 1 + 2/5 = 5 2/5
Answer:
5 2/5 feet of ribbon
Step-by-step explanation:
2 4/5
+ 2 3/5
5 2/5
plz mark brainliest
Help would be greatly appreciated!!
Multiply as indicated. Write the product in standard form.
(1+3i)(-3-i)
Thanks to whoever helps in advance!!
Answer:
-10i
Step-by-step explanation:
-3-i-9i+3
remove the Opposites
collect like terms
-i-9i
=-10i
Find the least common multiple of each set of numbers . 4, 10
4, 8, 12, 20
10, 20
The least common multiple of 4 and 10
I hoped this helped. :)
HELP PLEASE AHH I WILL GIVE BRAINLIEST
Answer:
140 Minutes
Step-by-step explanation:
Y = 0.125x ---> Corinne every 1 minute
Y = 3.5 + .1x ----> Aretha
0.125x = 3.5 + .1x
-.1x - .1x
0.025x = 3.5
0.025x/.025 = 3.5/.025
x = 140 minutes
Are the ratios 17:10 and 2:1 equivalent?
Answer:
No, they don't have the same valueStep-by-step explanation:
Are the ratios 17:10 and 2:1 equivalent?
17 : 10 = 1.7
2:1 = 2