Answer:
X=-12
Step-by-step explanation:
Subtract -5/2 on both sides:
X/3+5/2-5/2=-3/2-5/2
X/3=-8/2
X/3=-4
Multiply both sides by 3:
X/3*3=-4*3
X=-12
Answer:
x = -12
Step-by-step explanation:
To solve for x, we always want to isolate x {isolate = getting it by itself}
So, for the equation: X/3 + 5/2 = -3/2
we should first get x on its own side:
[tex]\frac{x}{3}+\frac{5}{2}=-\frac{3}{2}[/tex]
[tex]-\frac{5}{2}[/tex] [tex]-\frac{5}{2}[/tex] {subtract 5/2 from both sides} {-3/2 - 5/2 = -8/2}
[tex]\frac{x}{3} = -4[/tex]
×3 ×3 {multiply both sides by 3 to find "1"x}
x = -12
check:
-12/3 + 5/2 = -3/2
-4 + 5/2 = -3/2
(5/2 = 2 [tex]\frac{1}{2}[/tex] ; 2 [tex]\frac{1}{2}[/tex] - 4 = -1 [tex]\frac{1}{2}[/tex])
-1 [tex]\frac{1}{2}[/tex] = -3/2 {3/2 = 1 [tex]\frac{1}{2}[/tex]}
-1 [tex]\frac{1}{2}[/tex] = -1 [tex]\frac{1}{2}[/tex]
{TRUE}
so, x = -12
hope this helps!!
sally sweeps 20 floors in 4 hours , at the same rate , how many floors can sally sweep in 6 hours ?
Answer:
35 Floors in 6 Hours
Step-by-step explanation:
20 / 4 = X Floors Per Hour
floors per hour = 5
6*5 = 35 Floors
A rectangle has a
perimeter of 20 cm.
Its longest side is 6 cm.
What is its area?
Answer:
[tex]\boxed {24 cm^{2}}[/tex]
Step-by-step explanation:
Finding the smaller side :
⇒ P = 2(l + w)
⇒ 20 = 2(6 + w)
⇒ 6 + w = 10
⇒ w = 4 cm
Finding area :
⇒ 6 × 4
⇒ 24 cm²
Factor: 117n + 90
Show your work don’t solve for n
To factor an expression, we can identify common factors between each terms, and take them out.
Solving the Question117n + 90
Both terms have the common factor of 9. Factor this out:
= 9(13n + 10)
13 and 10 do not have a common factor. Therefore, this is the final factored expression.
Answer9(13n + 10)
Which point is on the graph of f(x) = 3.4x
Answer:
D(1,12)
Step-by-step explanation:
See attached graph.
Determine the period
Answer:
2 units
Step-by-step explanation:
From one crest (high point) to the next crest point is one period....
this covers 2 units on this graph
Use the periodic compound interest formula to solve.
Suppose that $11,000 is invested at 5.8% compounded quarterly. Find the total amount of this investment after 6 years.
Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $11,000r = 5.8% = 0.058n = 4 (quarterly)t = 6 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}[/tex]
[tex]\implies \sf A=11000(1.0145)^{24}[/tex]
[tex]\implies \sf A=15539.67451...[/tex]
Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.
A(n)______ is a number sentence that shows how two or more expressions are not equal
Answer:
Inequality is the answer
Answer: Inequality ✅
Step-by-step explanation:
Hii, do you need to know the answer to your question? No problem!
The answer to your question is "inequality".
An inequality is a number sentence that shows how two or more expressions are not equal.
An example of that is [tex]\sf 4x+4\geqslant3x-5[/tex].
So 4x+4 is greater than or equal to 3x-5, but they're not 100% equal (such is the case in equations).
--
Hope that this helped! Best wishes.
--
How to do proportional relationships in math 7th grade ?? Please explain ?!!
Answer:
Try searching online
Step-by-step explanation:
go to your browser then search up
How to do proportional relationships in math 7th grade ?? Please explain ?!!
(5+4) +10=5+(4+10)
A. True
B. False
Answer:
A. True
Step-by-step explanation:
One of the ways to check this is solving each side of the equation.
(5+4)+10=5+(4+10)
Remember PEMDAS.
Parenthesis first.
(9)+10=5+(14)
Now, you can drop the parenthesis and add the numbers together.
9+10=19
5+14=19
19=19
This is a true statement.
Hope this helps!
If not, I am sorry.
Complete the proof that ∠PST≅∠QRT.
S
P
Q
R
T
Answer: Transitive property of congruence
Answer:
5. Substitution
6. Substitution
Step-by-step explanation:
The properties of congruence generally match those of equality;
A ≅ A . . . . reflexive property
A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property
A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution
__
In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.
Please help!! Consider the equation x/5 -2=11, where x represents the
number of basketball players that have signed up for a
new league. What is a possible scenario that would be
modeled by this equation? Consider how many teams in
the league and the number of players on each team this
equation could describe
Answer:
x=65
Each NBA team can have a maximum of 15 players, 13 of which can be active each game.
65/5=13 so it's safe to say tgat 5 team can be crated
Step-by-step explanation:
x/5-2=11-->transposing x/5=11+2---->x=13×5--->x=65
verification 65/5-2=11--->13-2=11
PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 7(1.06)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)
#1
As d is days
So days can't be negative
hence domain is W or Whole numbers set.
But according to the equation
y=7(1.06)^d13.29=7(1.06)^d1.06^d=1.898dln1.06=ln1.898d=1.79Round to next whole as it's no of days
d=2
Domain=[2,oo)
#b
Put d=0
f(0)
7(1.06)^(0)7It passes through (0,7)
But 0 is not in domain ,hence no y intercept in real
#C
f(11)
7(1.06)¹¹13.28f(4)
7(1.06)⁴8.83Rate of change
f(11)-f(4)/11-413.28-8.83/70.6It represents change in radius
can't understand tbh anyone willing give a go?
Answer:
nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls
total number on rolls on nr.3 and nr.4= 99
Step-by-step explanation:
Calculate the probability for nr.3
Always try to get 100%
1=13%
2=5%
3=?
4=21%
5=19%
6=30%
Add all the percentage
1+2+4+5+6= 88%
now calculate the percentage for nr.3
100%-88%=12%
give a estimated total number of times the dice will land on nr.3 or nr.4 after 300 rolls
nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls
total number on rolls on nr.3 and nr.4= 99
Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.
Answer:
The correct answer is if you want no roots in the denominator, the correct answer is [tex]\frac{2x}{y}[/tex]* [tex]\sqrt[3]{2y^{2} }[/tex]
Step-by-step explanation:
The mistake is that you can't take a cube root of a square at step 3 when [tex]y^{2}[/tex] is taken out.
Solve the discriminant
Answer:
a
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
then the discriminant
Δ = b² - 4ac
• if b² - 4ac > 0 then 2 real solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
given
[tex]\frac{3}{4}[/tex] x² - 3x = - 4 ( add 4 to both sides )
[tex]\frac{3}{4}[/tex] x² - 3x + 4 = 0 ← in standard form
with a = [tex]\frac{3}{4}[/tex] b = - 3 , c = 4
then
b² - 4ac = (- 3)² - ( 4 × [tex]\frac{3}{4}[/tex] × 4) = 9 - 12 = - 3
since b² - 4ac < 0 then equation has no real solutions
Answer:
a. -3; no real solutions.
Step-by-step explanation:
Discriminant
[tex]\boxed{b^2-4ac }\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{When }\:b^2-4ac > 0 \implies \textsf{two real solutions}.[/tex]
[tex]\textsf{When }\:b^2-4ac=0 \implies \textsf{one real solution}.[/tex]
[tex]\textsf{When }\:b^2-4ac < 0 \implies \textsf{no real solutions}.[/tex]
Given equation:
[tex]\dfrac{3}{4}x^2-3x=-4[/tex]
Add 4 to both sides of the equation so that it is in standard form:
[tex]\implies \dfrac{3}{4}x^2-3x+4=-4+4[/tex]
[tex]\implies \dfrac{3}{4}x^2-3x+4=0[/tex]
Therefore, the variables are:
[tex]a=\dfrac{3}{4}, \quad b=-3, \quad c=4[/tex]
Substitute these values into the discriminant formula to find the value of the discriminant:
[tex]\begin{aligned}\implies b^2-4ac&=(-3)^2-4\left(\dfrac{3}{4}\right)(4)\\&=9-(3)(4)\\&=9-12\\&=-3\\\end{aligned}[/tex]
Therefore, as -3 < 0, the discriminant is less than zero.
This means there are no real solutions.
4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125?
Graph a system of linear inequalities that represents this situation. Using the graph, what are two
possible solutions to the system of inequalities?
Two possible solutions are: (4.5, 8.5) and (8, 6.3)
How to graph the inequality?Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
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What is the measure of m?
m = [?]√
Give your answer in simplest form.
Answer:
[tex]m=4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]n^2 = {8*4}[/tex] (By geometric mean theorem)[tex]\rightarrow n^2={32}[/tex][tex]m=\sqrt{n^2+8^2}[/tex] (By Pythagoras Theorem)[tex]\rightarrow m=\sqrt{32+64}[/tex] [tex]\rightarrow m=\sqrt{96}[/tex] [tex]\rightarrow m=4\sqrt{6}[/tex]Step-by-step explanation:
first find the relation between n,m and x
Shea and Chris drive to work.
Shea drives 30 miles in 1.25 hours.
Chris drives 62 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Answer:
11.2 km/hr
Step-by-step explanation:
Shea's speed: 48km/1.25hr=38.4 km/hr
Chris's speed: 62km/1.25hr= 49.6 km/hr
Vav= 49.6-38.4= 11.2 km/hr
Which ordered pairs make both inequalities true? Check all that apply
Answer:.
Step-by-step explanation:
choose the graph of the linear equation 30x+75y=300
Answer:
there ya go :)
HI PLEASE ANSWER THIS QUESTION THANK YOU SO MUCH!
Mr. Avanzado has an underground in his house. What unit ofmeasure will he use to find its volume?
A. mm3
B. cm3
C. dm3
D. m3
2.What is the best unit of measure to use in finding the volumeof a rectangular pencil case?
A. mm3
B. cm3
C. dm3
D. m3
3.What is the formula to be used in finding the volume of a cube?
A. V = s x s or s2
B. V = s x s x s or s3
C. V = l x w x h
D. V = s + s + s
(NO TROLLS PLEASE)
1. m³
2. cm³
3. s³
What is Unit?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
1. Volume is measure in m³
2. volume of a rectangular pencil case in cm³
3. V = s x s x s or s³
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What is the domain of the function y=√x?
Answer:
[0, ∞)
(all real numbers greater than or equal to 0)
Explanation:
the domain of a function is all possible x-values (and the range is all possible y-values)
We know that you cannot have a negative square root, so all negative x-values are not possible--only values 0 to infinity.
So the domain of this function is [0, ∞).
{ [brackets] in math mean the number is included, (parentheses) in math means the number is not included.}
All [real] numbers ≥ 0
is the domain of y=√x
(written as: all real numbers greater than or equal to 0)
A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus?
Using the cosine ratio, the expression that can be used to determine the side length of the given rhombus is: x = 10/cos 30.
What is the Cosine Ratio?The cosine ratio that can be used to solve a right triangle is, cos ∅ = adj/hyp.
x represents the side of the rhombus as shown in the image attached.
Hypotenuse = x Adjacent = 10 in.∅ = 30cos 30 = 10/x
x(cos 30) = 10
x = 10/cos 30
Thus, the equation that would be used to determine the side length is: x = 10/cos 30
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Answer:
A
Step-by-step explanation:
10/cos 30°
Find the midpoint of the segment with the following endpoints. (10, 6) and (4, 9)
Answer:
(7,7.5)
Step-by-step explanation:
midpoint formula:
(10+4)/2=7
(6+9)/2=7.5
(7,7.5)
fill in the blank
83 x 391 - 83 x ____ = 83 x (391 - 15)
Answer:
83 x 391 - 83 x 15 = 83 x (391 - 15)
Step-by-step explanation:
BODMAS is stands for Bracket Of Division Multiplication Addition and Subtraction.
left hand side:
83 × 391 - 83 × ____ = 32453 - 83 × ____
right hand side:
83 × (391 - 15) = 83 × 376 = 31208
equating both sides
32453 - 83 × ____ = 31208
32453 - 31208 = 83 × ____
1245 ÷ 83 = 15
hence the answer is 15.
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Examine the following graphs of two functions. Two functions. One is linear passing thru (1, 2), (3, 4), (6,7) and (8, 9). 2nd function is quadratic passing thru (3, 4), (5, 0), (7, 4) & (8, 9). © 2018 StrongMind. Created using GeoGebra. Which two values of x best represent where the two functions are equal? Enter your answer as two numbers, separated by a comma, like this: 1, 2
The two values of x best represent where the two functions are equal will be (12,11)
What is a graph?
A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
Given data;
Linear function passing through;
(1, 2), (3, 4), (6,7) and (8, 9)
Quadratic function passing through
(3, 4), (5, 0), (7, 4) & (8, 9)
Let x be two values of x best represent where the two functions are equal;
The value of the x is obtained from the graph where the two line meets.
The value of x willl be (12,11)
Hence, the two values of x best represent where the two functions are equal will be (12,11)
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Which equation can be used to solve for xxx in the following diagram?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
2x = 4x2x=4x2, x, equals, 4, x
(Choice B)
B
2x + 4x = 1802x+4x=1802, x, plus, 4, x, equals, 180
(Choice C)
C
2x + 4x = 902x+4x=902, x, plus, 4, x, equals, 90
(Choice D)
D
2x + 4x = 1502x+4x=1502, x, plus, 4, x, equals, 150
The equation that can be used to determine the value of x is Option B.
What is an Equation ?An equation is a mathematical statement formed when two algebraic expression are equated by an equal sign.
From the diagram ,
A straight line has an angle of 180 degree.
Therefore from the figure
To determine the value of x
2x + 4x = 180
6x = 180
x =30 degree
Thus the equation that can be used to determine the value of x is Option B.
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a suvery shows that 55℅
Answer: No. The intervals defined by the margin or error overlap
Step-by-step explanation:
If we think about it, with the worst margins, 55% could be 48% and then the 45% would be 52%, showing there is no clear yes or no and it is possible that the intervals could overlap
Question 12 of 25
Which of the following values are in the range of the function graphed below?
Check all that apply.
A. -5
B. 3
C. 2
☐D. O
E. 1
F. -3
5
1 is the values are in the range of the function graphed below. Option E is corect.
What is the difference between domain and range?The domain denotes all potential x values, while the range denotes the domain's possible y values.
The domain is the value of x which lies between the -2 ≤ x ≤ 1.While the range shows the value of y which is equal to 1.
Hence, option E is correct
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factorise 3 squared+ 5x +12
factorise 3 squared+ 5x +12
