Answer:
[tex] - {4} < x < - 6 \\ [/tex]
Step-by-step explanation:
[tex]5 < - 4x - 11 < 13[/tex]
Add 11 to both sides of the inequality to make - 4x stand alone
[tex]5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ 16 < - 4x < 24[/tex]
Divide both sides by - 4
[tex] - \frac{16}{4} < \frac{ - 4x}{ - 4} < - \frac{24}{4} \\ - {4} < x < - 6[/tex]
Reverse the signs
We have the final answer as
[tex] - 4 > x > - 6 \\ [/tex]
Hope this helps you
Answer:
-4>x>-6Step-by-step explanation:
to understand thisyou need to know about:inequalityPEMDAStips and formulas:the direction of inequality does not change when you
add or subtract a number from both sidesmultiply or divide both sides by a positive numbersimplify a sidethe direction of inequality does change when you
multiply or divide both sides by negative numberswapping left and right hand sidelet's solve:[tex] step - 1 : define[/tex]
[tex] \sf 5 < - 4x - 11 < 13[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf add \: 11 \: to \: every \: sides : \\ \sf 5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ \sf16 < - 4x < 24[/tex][tex] \sf \: divide \: both \: sides \: by \: - 4 \: and \: swap \: the \: inequalities : \\ \sf \sf - 4 > x > - 6[/tex]Find the slope and y-intercept of the graph of 3y = 6x – 12.
The slope is
and the y-intercept is
Answer:y
=
2
x
−
y
Step-by-step explanation:
What is the length of the unknown side of the right triangle? (1 point)
A) 21
B) 29
C) 400
D) 441
Answer:
The answer is a
Step-by-step explanation:
Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
Answer:
60 hours
Step-by-step explanation:
We are given;
Initial amount: A_o = 64 mg
Half life; T_½ = 15 hours
Amount left: A = 4 mg
To get the time that 4 mg of Sodium-24 remain, we will use the formula;
A = A_o(½^(t/T_½))
Where t is the time that 4 mg of Sodium-24 remain.
Thus;
4 = 64 × ½^(t/15)
Divide both sides by 64 to get;
4/64 = 2^(t/15)
0.0625 = ½^(t/15)
In 0.0625 = (t/15) In 0.5
-2.7726 = (t/15) × -0.6931
t = (-2.7726 × 15)/-0.6931
t = 60 hours
There is a word problem and idk how to do it here's the word problem [Kari is making copies at a local store of the program for her school play she makes 52 copies and the total is $6.24. How much did the store charge her per copy] this is in math
Answer:
Unitary cost per copy= $0.12
Step-by-step explanation:
Giving the following information:
Total number of copies= 52 copies
Total cost= $6.24
We need to calculate the unitary cost of each copy. To do that, we will use the following formula:
Unitary cost per copy= total cost / number of copies
Unitary cost per copy= 6.24/52
Unitary cost per copy= $0.12
PLEASE HELP I WILL MARK BRAINLIEST ITS URGENNNTTTT!!!
Answer:
-6°C
Step-by-step explanation:
(-3) - 3 = -6
The ratio of boys to girls in a choir is 3 to 7 there are 35 girls in the choir how many members are in the choir
Answer:
50
Step-by-step explanation:
35/7= 5
5*10=50
Answer:
50 people in the choir
Step-by-step explanation:
we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.
Hope this helps! :)
(Also i know my explanation is rly bad just ignore it)
how many solutions does the quadratic have? 2x^2+3x-5
Answer:
2 solutions
Step-by-step explanation:
Given
2x² + 3x - 5 ( to solve the quadratic equate it to zero )
2x² + 3x - 5 = 0 ← in standard form
(2x + 5)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]
x - 1 = 0 ⇒ x = 1
The 2 solutions are x = - [tex]\frac{5}{2}[/tex] , x = 1
If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible without going over?
Answer:
Approximately $14.20
Step-by-step explanation:
Let the cost of the groceries be represented by c, then;
cost price + VAT = c + (5% of c)
To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.
Let c = $14.20, then;
So that,
c + (5% of c) = 14.20 + (5% of 14.20)
= 14.20 + 0.71
= $14.91
Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.
Katarina earns $14.60/hour for regular hours of work. She is paid time and a
half for overtime work. What is her overtime rate of pay?
Answer:
$21.90
Step-by-step explanation:
You start by doing 14.60*1.5 because for overtime work is says she is paid time and a half. When you do the equation, you get $21.90.
Hope this helps!
What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
O (0, 0)
O (0,4)
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. Five gallon of paint covers 1500 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool?
Answer:
2 cans
Step-by-step explanation:
Given that :
Radius of pool = 30 feets
Using the relation for the Area of a circle :
Area = pi*r^2
Thus,
Area of pool = 3.14 * 30^2
Area of pool = 3.14 * 900 = 2826feet²
Paints are sold in cans of 5 gallon
5 gallon of paint = 1500 feet²
Least number of 5 gallon can required :
2826 feet² / 1500 feet² = 1.884 cans
Hence,
Least number of 5 gallon can required = 2 cans
30 in
18 in
b
What is the length of the missing leg?
b
inches
change from word to standard form sixty-seven and five hundred thirteen thousandths
In a chicken farm a diet is given, to gain weight, with a minimum composition of 15
units of a substance A and another 15 of a substance B.
There are only two classes of compounds on the market: type X with a composition of one
unit of A and 5 of B, and the other type, Y, with a composition of five units of A and one of B. The
price of type X is $ 10 and type Y is $ 30.
What quantities of each type must be purchased to cover the needs at a cost
minimum?
Step-by-step explanation:
id-9384026088
password-9999
Pls help me with this question give u brainliest pls it's urgent pls help
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• greatest common factor of 8 and 12
Answer:
Positive 4
Step-by-step explanation:
Factors for 8 => 1, 2, 4, 8
factors for 12 => 1, 2, 3, 4, 6, 12
the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.
(x+y,y+3)=(6,2y) find the value of x and y
Step-by-step explanation:
Solution:
Given:-
(X+y,y+3)=(6,2y)
Equating corresponding elements,we get,
X+y=6------(1)
y+3=2y-----(2)
solving equation (2),
y-2y=-3
-y=-3
y=3.
Now, substituting y=3 in equation (1)
X+3=6
X=6-3
X=3
Therefore,. (X,Y) = (3,3)
help !!!
A car gets 40 miles per gallon of gas. It travels for 5 hours at 60 miles
per hour. How many gallons of gas did it use? *
O 6.75 gallons
O 7.5 gallons
O 3.33 gallons
O 10 gallons
(4, -4) and (-8, -1)
This need to be put in slope intercept form and I need the steps thank you!
Answer:
y = [tex]\frac{-1}{4}[/tex]x - 3
Step-by-step explanation:
(4, -4) (-8, -1)
y = mx + b
equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]
[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]
y = [tex]\frac{-1}{4}[/tex]x - 3
Estimate: 2.31 x 2.58 x 5.
Estimated Answer: 30
Work: Since 2.31 is below 2.50, I rounded is back down to 2. Since 2.58 is above 2.50, I rounded it up to 3, and Since 5 isn't a decimal, it stays at 5. So, the new "Estimated" multiplication problem is 2 x 3 x 5 = 30
Check: So, lets do the original equation. The answer is 29.799, which is very close, so (Check) I hope this helps, and Happy Holidays! :)
Answer:
IT'S 30
Step-by-step explanation:
= 30: 2X3X5 6X5 =30 This a little bit of step by step but.......
compare the graph of g(x)=6x−5 to the graph of f(x)=6x
a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units
Answer:
The answer is B choice.
Explanation:
Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.
[tex]f(x) = 6x \\ g(x) = 6x -5[/tex]
For a linear function or line graph.
[tex]y = mx + b[/tex]
This means that the function y has the graph that shifts up b units.
[tex]y = mx - b[/tex]
While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.
Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.
Back to the answer.
Comparing two graphs, from f(x) and g(x) —
We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^
Thus, the answer is B.
will give brainliest if its right
Answer:
answer D
Step-by-step explanation:
A and C have to be equal
B and D have to be equal
A+B+C+D have to equal 360
so, two equations
5y-3=x+3y
4x+5y-3+x+3y=360
4x=156
x=39
5y-3=9+3y
2y=42
y=21
Hope this helps plz hit the crown :D
lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000.
Which of the following is the most reasonable domain and range for the function?
Answer:A
Step-by-step explanation:A
The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.
The given function is f(x) = 3000 + 100x.
We need to find which of the following is the most reasonable domain and range for the function.
What is the domain and range of the function?The domain and range are defined for a relationship and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (-∞, ∞) {x|x∈R}
Range: (-∞, ∞) {y|y∈R}
The most reasonable domain and range for the function is x≥0, y≥0. Therefore, option B is the correct answer.
To learn more about the range and domain visit:
https://brainly.com/question/28135761.
#SPJ6
X2+ ?x + 36
ayoooo i need helppp
Answer:
? = 12
Step-by-step explanation:
(x + 6)(x + 6)
= x^2 + 12x + 36
Help me solve this problem please
Answer:
6
Step-by-step explanation:
Does this table represent a function? Why or why not?
x
2
4
6
8
10
y
1
3
3
4
6
A. Yes, because every x-value corresponds to exactly one y-value.
B. No, because one x-value corresponds to two different y-values.
C. No, because two of the y-values are the same.
D. Yes, because all of the x-values correspond to one or more
y-values.
Find the value of x for each function when f(x) = 24
Answer:
x = 76
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{4}[/tex] x + 5 and f(x) = 24, then equate the right sides
[tex]\frac{1}{4}[/tex] x + 5 = 24 ( subtract 5 from both sides )
[tex]\frac{1}{4}[/tex] x = 19 ( multiply both sides by 4 to clear the fraction )
x = 76
Find a slope of a line that passes through the points (-1,1) and (3,-1)
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-1/3-(-1)
m=-2/4
m=-1/2
I WILL GIVE 15 POINTS FOR THE CORRECT ANSWER PLEASE I need help with my work
Answer:
1/since 4/5 in three munites i think e divide lang yong 4/5 in to 3.
Answer: A
Step-by-step explanation: 4/15
2. State whether the change is increasing or decreasing. Round your percent of change to the nearest integer percent. originally: 55 tickets presently: 90 tickets tickets
Answer:
The change is increasing with a percentage of change of 64%
Step-by-step explanation:
Since we have the present grater than the original, then the change is increasing
Secondly, we want to calculate the percent of change
Mathematically , that will be ;
(present - original)/original * 100%
= (90-55)/55 * 100%
= 35/55 * 100% = 63.63 which is approximately 64%
A factory produces 2 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water?
Answer:
150
Step-by-step explanation:
600/8*2