Answer:
Step-by-step explanation:
1. x+6=14
14-6=8
x=8
2. 15/x=3
15/3=x
x=5
3. 7*x=56
56/7=8
x=8
4. x^2-4=12
x=4, x=-4
5. 1/4x=10
x/4 = 10
x = 40
6. 3x-9=18
x=9
7. 1/2x-10=14
x/2-10=14
x=48
8.x/8=9
8*9=72
x=72
9.2x+3=24
2x=21
x=21/2
10.20*x=140
140/20=7
x=7
write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (-3,-6) and (2,-2). So, the equation of line is
[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]
[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]
Subtract 6 from both sides.
[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]
Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].
A 3-foot rain barrel is being filled from the runoff of a roof. The barrel has already collected 2.75 feet of water. For
every additional inch of rainfall into the barrel, the level of water in the rain barrel rises by 0.75 inch.
What is the y-intercept of the linear model representing the change in height of water, in inches, based on the
rainfall, in inches?
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There are 11 books on a shelf , 7 of these books are new . The rest of them are used .
What is the ratio of new books to used book ?
Answer:
7:4
Step-by-step explanation:
11-7=4
7:4
The ratio of old books to the new books is new : old = 7 : 4.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, There are 11 books on a shelf, and 7 of these books are new.
So, The number of old books are (11 - 7) = 4.
So, In the self there is 7 new books and 4 old books.
Therefore the ratio of new books to old books,
new books : old books = 7 : 4.
learn more about proportion here :
https://brainly.com/question/7096655'
#SPJ2
How many 9 digit numbers have their first and last digits even?
There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).
Answer: 200,000,000.
we have 9 spaces we need to fill in
There are 10 total numbers(0–9)
There are 5 even numbers(0,2,4,6,8)
fill from left to right
u cannot start with 0 so pick another number 2,4,6,8 any of those
4*10^7*5= 20*10^7 = 2*10^8
200,000,000.
I just need help wit this quick question
9514 1404 393
Answer:
yes
Step-by-step explanation:
A triangle is acute if its largest angle is acute.
A triangle is obtuse if its largest angle is obtuse.
A triangle cannot be both acute and obtuse, so, yes, the statements contradict each other.
Answer:
Step-by-step explanation:
Yes they do contradict
Acute means less than 90 while obtuse means more than 90.
Both can't exist for the same triangle at the same time.
what the slope of(7,3) (6,-2)
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[tex]slope = \frac{ - 2 - 3}{6 - 7} \\ [/tex]
[tex]slope = \frac{ - 5}{ - 1} \\ [/tex]
[tex]slope = 5[/tex]
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Please help !!! I’m confused
6x-21=105
+21. +21
6x=126
×=21
21y=75
Divide 21 from 75
Y= 3.6
5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?
Answer:
25 times
Step-by-step explanation:
If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish
The proportion is therefore 5/12
In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.
Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years
To check if we are correct, we check the proportion to see if it still evaluates to 5/12
25/60= 5/12 when reduced to lowest terms
what is -8 + x = 13
i don't get this i need help
Answer:
21
Step-by-step explanation:
this is because you take 13 and minus it by -8 like this:
13--8=x(21)
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
PLSSS HELPPPPP I WIILLL GIVE BRAINLIEST!!!!!
Answer:
The slope is -4
-4/1=-4
Hope this helped
Answer:
-4
Step-by-step explanation:
To find slope, subtract the y's and x's in the same order. We put y's on the top and x's on the bottom. The points are (-3, -4) and (-2, -8).
The y's are -4 and -8. The x's are -3 and -2.
-4-(-8)=4
-3-(-2) -1
The slope is -4.
Hope this helps you...have a great day (～￣▽￣)～
please help 6th grade math i will give brainliest to answer with worked shown
Answer:
64
Step-by-step explanation:
She drinks 4 ounces every 30 minutes.
4*2= 8 She drinks 8 ounces in an hour.
8*8=64 She drinks 64 ounces in 8 hours
What is the predecessor and successor of 9,852
Answer:
Predecessor: 9851
Successor: 9853
Step-by-step explanation:
The predecessor of a number is 1 less than it.
The successor of a number is 1 more than it.
PLS GIVE BRAINLIEST
Answer:
which one of these is a valid for balance
How to do this question plz
9514 1404 393
Answer:
22%
Step-by-step explanation:
If Denver gets 2/19 of the food, then Engle and Fido share the remaining 17/19 of the food.
If Engle and Fido share their food in the ratio of 6:2, then Fido's share is 2/(6+2) = 2/8 = 1/4 of the portion they have.
Fido's share of all the food is then (1/4)(17/19) = 17/76.
As a percentage of the whole, that is ...
17/76 × 100% ≈ 22%
What is the value of s?
units
2 = -6х + 4
what is X?
what is the answer to (3^4)^4
Answer:
3^16
Step-by-step explanation:
Brain teaser I will give lots of points for THIS!!!
Answer:
46???
Step-by-step explanation:
apples: 10
bananas: 6
oranges: 6
soo im guessing 10 + 6 x 6 = 46?????
I need help plz answer this
Answer: A. (5)(5x+2y)
Step-by-step explanation:
What’s the Coefficient in 3+2x
Answer:
2
Step-by-step explanation:
The coefficient is the number attached to the variable. In this instance, it is two.
Answer:
A coefficent is: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression...(e.x. 4 in 4x).
Step-by-step explanation:
If -3c/4=24, what is the value of c/2?
Answer: look it up lol
Step-by-step explanation:
Rosita is designing a quilt for her bed. She will use 5/8 of the quilt pieces for the background. What percentage of the quilt will be used for the background
what is the missing term in the quadratic expression below?
(2x-3)(x-4)=2x^2+____ -12
Answer:
ok
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factor f(x)=x^3+2x^2-x-2. f(x)=x3+2x2−x−2 f ( x ) = x 3 + 2 x 2 - x - 2.
Represent the following expression as an algebraic expression where a number is the letter x ; a number is subtracted from 4
Answer:
4-x
Step-by-step explanation:
since x is a number given and it should be subtracted from 4.
Pls help me this is so hard can someone help me.
Answer: 4x+8=12
Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader
74+(-91)x27=?
answer
Answer:
[tex] - 2383[/tex]
Step-by-step explanation:
[tex]74 + ( - 91) \times 27 \\ 74 + (- 2457) \\ - 2383[/tex]
Helppp !!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Hahhahaha
A coat factory had seven coats. If they wanted to put them into two boxes, with t same number of coats in each box, how many extra coats would they have left over?
Answer:
1
Step-by-step explanation:
7 cannot be split into an even number so take one away and you have 6 which can be split into 3 coats per box, with 1 left over.
symplify the expression 3⁴÷3⁹. Select all that apply.
Answer:
C and D
Step-by-step explanation:
When you divide exponents with the same base, you just subtract the exponents.
3^4 / 3^9
4-9 = -5
3^-5
That can be rewritten into 1/3^5 and 1/243.
How would I find the size of angle x
Answer: the answer would be 7
Step-by-step explanation:
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Logan invested $80,000 in an account paying an interest rate of 1\tfrac{1}{4}1 4 1 % compounded monthly. Leah invested $80,000 in an account paying an interest rate of 1\tfrac{7}{8}1 8 7 % compounded continuously. After 17 years, how much more money would Leah have in her account than Logan, to the nearest dollar?
Step-by-step explanation: 5.6+3.7=8.13-13=0