What’s 14/15 divided by 7
Answer:
2/15 or 0.13
Step-by-step explanation:
Answer:
0.13328
Step-by-step explanation:
it's easier to write in that form
Solve this equation algebraically.
Write both sides as powers of 16:
[tex]\log_4(2-x)=\log_{16}(13-4x) \implies 16^{\log_4(2-x)}=16^{\log_{16}(13-4x)}[/tex]
Since 16 = 4², we can rearrange the left side to get
[tex]16^{\log_4(2-x)}=(4^2)^{\log_4(2-x)}=4^{2\log_4(2-x)}=4^{\log_4(2-x)^2}[/tex]
Then, recalling that [tex]b^{\log_ba}=a[/tex], we have
[tex]4^{\log_4(2-x)^2}=16^{\log_{16}(13-4x)}\implies(2-x)^2=13-4x[/tex]
Now solve for x :
[tex](2-x)^2=13-4x[/tex]
[tex]4-4x+x^2=13-4x[/tex]
[tex]x^2-9=0[/tex]
[tex](x+3)(x-3)=0[/tex]
[tex]\implies x=-3\text{ or }x=3[/tex]
Notice that if x = 3, then log₄(2 - x) = log₄(-1) is undefined, so we throw out this solution. We don't run into this problem with x = -3, so that's the only (real) solution.
Javier exercises for 2 hours every Saturday. His exercise includes two parts.
Javier's exercise: cardio and weightlifting
If he spends the same amount of time on both parts, how many hours does he spend weightlifting?
The number of hours that Javier spends on cardio and weightlifting will be one hour.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Every Saturday, Javier works out for two hours. His workout consists of two components. Javier works out with cardio and weights.
If he spends the same amount of time on both parts.
Let x be the number of hours spent on weightlifting. Then the equation is given as,
x + x = 2
2x = 2
x = 1 hour
The number of hours that Javier spends on cardio and weightlifting will be one hour.
More about the solution of the equation link is given below.
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Please help ! Simplify the expression below
What is Addition property of equality
a. If a=b, then a+c=b+C
b. If a=b, then a-c=b-c
c. If a=b, then acaba
d. If a=b, then a/c=b/c
a b and d
not c
dont put c
Identify an obtuse angle in this figure. Use the symbol"<" to name the
angle for full points *
Answer:
Angles 10 and angles 7 are obtuse angles.
Step-by-step explanation:
what is negative three over twenty as a decimal? please help
Answer:
-0.15 I believe
Step-by-step explanation:
siri did the math for me lol
The answer would be - 0.15
A local theater sells tickets at different prices for adults, senior citizens, and children. A total of 300 tickets are sold at the theater. Senior citizens purchased 35 tickets, 200 were purchased for children, and 65 adult tickets were purchased. What is the ratio of the number of adult tickets sold to the total number of tickets sold?
PLEASE CAN SOMEONE GIVE ME THE ANSWER
Answer:
500
Step-by-step explanation:
follow me life is soooooooo slow at this age............................ ................................. .......
Learning Task 2.
A. Translate the following verbal sentences to mathematical sentence. Then ex-
press into quadratic equations in terms of "x".
Given
Quadratic Equations
1. The length of a wooden frame is 1 foot
longer than its width and its area is equal
to 12 ft2
2. The length of the floor is 8 m longer than
its width and there is 20 square meters.
3. The length of a plywood is 0.9 m more
than its width and its area is 0.36 m2.
4. The area of rectangle whose length is six
less than twice its width is thirty-six,
5. The width of a rectangular plot is 5 m
less than its length and its area is 84 m2.☹️
Answer:
1)[tex]x^2+x-12=0[/tex]
2)[tex]x^2+8x-20=0[/tex]
3)[tex]x^2+0.9x-0.36=0[/tex]
4)[tex]2x^2-6x-36=0[/tex]
5)[tex]x^2-5x-84=0[/tex]
Step-by-step explanation:
1) The length of a wooden frame is 1 foot longer than its width and its area is equal to 12 sq. ft.
Let the width be x
We are given that length of a wooden frame is 1 foot longer than its width
So, Length = x+1
Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]
ATQ
x(x+1)=12
[tex]x^2+x-12=0[/tex]
2)The length of the floor is 8 m longer than its width and there is 20 square meters.
Let the width be x
We are given that length of the floor is 8 m longer than its width
So, Length = x+8
Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]
ATQ
x(x+8)=20
[tex]x^2+8x-20=0[/tex]
3)The length of a plywood is 0.9 m more than its width and its area is 0.36 m2.
Let the width be x
We are given that length of a plywood is 0.9 m more than its width
So, Length = x+0.9
Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]
ATQ
x(x+0.9)=0.36
[tex]x^2+0.9x-0.36=0[/tex]
4)The area of rectangle whose length is six less than twice its width is thirty-six
Let the width be x
We are given that length is six less than twice its width
So, Length = 2x-6
Area of rectangle = Length \times Breadth = x(2x-6)
ATQ
x(2x-6)=36
[tex]2x^2-6x-36=0[/tex]
5)The width of a rectangular plot is 5 m less than its length and its area is 84 m2.
Let the length be x
Width = x-5
Area =[tex]Length \times Breadth = x(x-5)[/tex]
ATQ
x(x-5)=84
[tex]x^2-5x-84=0[/tex]
mZJNM = 103°. Find mZJNK
2
*
24
32
K
M
L
Answer:
m<ZJNK=47°
Step-by-step explanation:
m<ZJNK=103°-24°-32°=47°
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour.
Answer:
Step-by-step explanation:
1/5 of 115= 23
so in 15mins he reads 23 pages.
15mins x 4=60mins
23x4=92
Have a nice day sunshine
What is the slope of a line perpendicular to the line whose equation is
15x + 9y = 189. Fully reduce your answer.
We want to find the slope of a line perpendicular to 15*x + 9*y = 189.
The slope of the line perpendicular to the given line is 9/15.
First, a general line written in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
And two lines are perpendicular if one has a slope that is equal to the inverse of the opposite of the other line's slope.
So, to find the slope of the line perpendicular to 15*x + 9*y = 189, first, we need to find the slope of this line.
To do it, we need to isolate y.
9y = -15x + 189
y = (-15/9)*x + 189/9
So the slope is -15/9
A perpendicular line to this must have a slope equal to the inverse of the opposite of this, so the slope of the perpendicular line is:
-(-9/15) = 9/15
The slope of the line perpendicular to the given line is 9/15.
If you want to learn more, you can read:
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5.
Students in Mr. Muni's Clas:
Boys
24
21
18
15
12
9
6
3
2 4 6 8
Girls
find the area of the figure above
The area of the shape that is the combination of rectangle and trapezoid will be 71 square inches.
What is the area?The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
The shape is a combination of a rectangle and a trapezoid.
The area is the summation of the area of the rectangle and the area of the trapezoid. Then we have
Area = Area of the rectangle + Area of the trapezoid
Area = 5 x 9 + (1/2) x (4 + 9) x 4
Area = 45 + 26
Area = 71 square inches
The area of the shape that is the combination of rectangle and trapezoid will be 71 square inches.
More about the area link is given below.
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The missing graph is given below.
Evaluate the expression 3(7 + 4)2 − 14 ÷ 7.
A 50 HELP PLZ :(
B 361
C 363
D 586
What is the answer to these two
Answer:
1.) m<6 and m<8=142, m<9=38
2.) m<7 and m<9=66, m<8=114
note: brainliest would be appreciated.
Step-by-step explanation:
Which numbers are a distance of 5 units from 3 on the number line?
Write your answer : ___ and ___
3 + 5 = 8
3 - 5 = -2
-2 and 8
HELPPP PLEASEE!!!!
find value of x and y
Answer:
x = 74, y = 53
Step-by-step explanation:
x and 106 are supplementary angles, they add to 180. 2y and x are also supplementary angles, and using substitution, you get 2y is equal to 106, so y is 53. x will be 74 degrees.
7(1 - y) = -3(y-2)
What is the answer
Answer:
[tex] \huge y = \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]7(1 - y) = -3(y-2)[/tex]
Expand the terms in the bracket
That's
[tex]7 - 7y = - 3y + 6[/tex]
Add 3y to both sides of the equation
[tex]7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6[/tex]
Subtract 7 from both sides by the equation
[tex]7 - 7 - 4y = 6 - 7 \\ - 4y = - 1[/tex]
Divide both sides by - 4
[tex] \frac{ - 4y}{ - 4} = \frac{ - 1}{ - 4} \\ [/tex]
We have the final answer as
[tex]y = \frac{1}{4} \\ [/tex]
Hope this helps you
25. a(b)(-c), for a = 7, b = -2, c = 15
Answer:
210
Step-by-step explanation:
a(b)(-c) (PLUG IN THE NUMBERS)
7(-2)(-15) (multiply 7*-2)
-14(-15) (multiply them together two negatives make a positive)
210
Answer:
210
Step-by-step explanation:
plug in what ya know, and it is 7(-2)(15)
7(-2)=-14 and -14(15)=210
Type the correct answer in the box. Use numerals instead of words. Use the clues to find the mystery number. It is greater than 37,493. It is less than 37,503. It is an even number. The value of the mystery number rounded to the nearest ten is less than the mystery number. The value of the mystery number rounded to the nearest thousand is greater than the mystery number.
Answer:
37,502
Step-by-step explanation:
With the provided details we have:
Range of number = 37,493 - 37,503
The number is even number
Therefore, possible options are:
37,494
37,496
37,498
37,500
37,502
When number rounded to nearest tens, is less than the original number
Rounding off above numbers to nearest tens we have
37,490
37,500
37,500
37,500
37,500
There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.
37,494 and 37,502
The next condition is on rounding to nearest 1,000's
37,494 rounded to 37,000
37,502 rounded to 38,000
Provided that the rounded number in 1000's is more than the original mystery number.
37,000 is less than 37,494 thus not feasible.
38,000 is more than 37,502
This is the mystery number.
Solve for I.
-9x + 5 < 17 AND 13+ 25 < -1
Answer:
answer it is 17 for real it is
please help guys, i’m so lost aaahhhh
Consider a geometric sequence with a first term of 4 and a fourth term of -2,916.
a. find the common ratio of this sequence.
b. find the sum to infinity of this sequence
Answer:
Step-by-step explanation:
4r³=-2916
r³=-729
r=-9
b)s=[tex]\frac{4}{1+9}[/tex]
=[tex]\frac{4}{10}[/tex]
=[tex]\frac{2}{5}[/tex]
the 87 person team has 1/2 of a water cooler left, how much should each person get?
Answer:
0.574% each
Step-by-step explanation:
1/2 : 87 = 0.00574
0.00574 * 100 = 0.574% each
Walter and Brian each have a CD collection. • The number of CDs in Walter's collection can be represented by x. • The number of CDs in Brian's collection is 3 times the number in Walter's collection. • The total number of CDs in both collections is 144. What is x, the number of CDs in Walter's collection?
Answer:
Number of CDs in Walter's collection = x = 36
Step-by-step explanation:
x denotes number of CDs in Walter's collection.
Also, the number of CDs in Brian's collection is 3 times the number in Walter's collection.
Number of CDs in Brian's collection [tex]=3x[/tex]
Total number of CDs in both Walter's collection and Brian's collection = 144
[tex]x+3x=144\\4x=144\\x=\frac{144}{4}\\ x=36[/tex]
So,
Number of CDs in Walter's collection = x = 36
The menu at the ice cream parlor lists 8 flavors of
milkshakes, 3 types of syrups, and 4 different fruit
add-ins. How many ways can a customer select
one flavor of milkshake, one syrup and one fruit
add-in?
Enter the number ONLY
Please hurry
Answer:
96
Step-by-step explanation:
a lot fffdvxv chfx yhdfgddbf
i need help Nika baked three loaves of zucchini bread. Each cake needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used?
4 + 4 + 4 = 12
5 + 5 + 5 = 15
4 + 4 + 4 = 16
17 + 17 + 17 = 51
Answer:
B..
lol
Step-by-step explanation:
Maggie baked 96 cookies in 4 batches. What is the number of cookies per batch?
which of the four statements are false?
Answer:
D. all atoms are the same
Even though two atoms are chemically identical and might even chemically react in the same way, they are not completely the same to each other
10x+2y=-30 x and y intercept