Answer:
x = -2
Step-by-step explanation:
[tex]\frac{3x+5}{2x+1} = \frac{1}{3}[/tex]On cross multiplying,
3(3x + 5) = 1(2x + 1)9x + 15 = 2x + 17x = -14x = -2Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]
Cross multiply:
[tex]\implies 3(3x+5)=1(2x+1)[/tex]
Expand brackets:
[tex]\implies 9x+15=2x+1[/tex]
Subtract [tex]2x[/tex] from both sides:
[tex]\implies 9x+15-2x=2x+1-2x[/tex]
[tex]\implies 7x+15=1[/tex]
Subtract 15 from both sides:
[tex]\implies 7x+15-15=1-15[/tex]
[tex]\implies 7x=-14[/tex]
Divide both sides by 7:
[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]
[tex]\implies x=-2[/tex]
9. The value of U.S. postage stamps increases ~5% per year. The current price is 55C. Estimate what the price will be in 20 years
Answer:
$1.46
Step-by-step explanation:
We can use the principal of compound interest to solve this with the formula:
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
where P = initial principal
r = interest rate
n = number of times applied per time period
t = time periods elapsed
In this specific case, P = 0.55, r = 0.05, n = 1, and t =20
[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]
Please help! No links no files :(
Answer:
Step-by-step explanation:
Area of a triangle:
base = 4 units
height = 3 units
[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]
[tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]
A figure was moved 5 units to the right, then a
mirror image was made. Which transformations were used? Rotation, dilation, reflection, translation
Answer:
Step-by-step explanation:
First a translation then a reflection.
I need help on this image below
Answer: 70 degrees
Step-by-step explanation:
John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?
(x + 4)^2 = - 4
(x+2)^2 = - 4
(x+4)^2 = - 8
(x + 2)^2 = - 8
Answer:
[tex](x + 2) ^{2} = - 8[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]
[tex]4x^{3} + x8x^{2}[/tex]
Evaluate
Answer:
12x^3
Step-by-step explanation:
they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3
just add them and you're set
Solve for x:
A. 37
B. 19.25
C. 10.375
D. 41
(4x-6)
71
Answer:
Answer = B.19.25
Step-by-step explanation:
(4x-6)=71
4x=71+6
4x=77
x=77÷4
x=19.25
How much will you lose
Answer:
i don't know how much will l loose
HELP PLEASEE !!! Only correct answers and please no links
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
© 2018 StrongMind. Created using GeoGebra.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
Both are 1/2
Step-by-step explanation:
Count just the tails, that's the numerator
Count all the heads and tails, that's the denominator.
And for the 2nd fraction:
Count just the evens, that's the numerator
Count all the even and odd numbers, that's the denominator.
Answer: The answer to this question is 3/4
Step-by-step explanation:
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by: p=9/12=3/4
5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5
Hey there!
y = 74 - 7
START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value
y = 67
Therefore, your answer is: y = 67
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
1/secA+tanA = 1-sinA/cosA
Answer:
Below.
Step-by-step explanation:
1 / secA+tanA = 1 / [1/cosA+sinA/cosA))]
= 1/ [(1 + sinA)/cosA]
= cosA/(1+sinA)
Now check if this is identical to 1-sinA/cosA:
1-sinA/cosA = cosA/(1+sinA)
Cross multiply:
(1-sinA)(1+sinA) = cos^2A
1 - sin^2A = cos^2A
sin^2A + cos^2A = 1
This is a known idenity.
So the original identity is true.
Simplify 4 - 2m + 4m +1
Answer: 2m+5
Step-by-step explanation:
4−2m+4m+1
Combine −2m and 4m to get 2m.
4+2m+1
Add 4 and 1 to get 5.
5+2m
Answer: 2m + 5
Step-by-step explanation:
Just do:
4 - 2m = 2m4m + 1 = 5So, 2m + 5
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.
What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?
The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37
What is ratio?Ratio is a term that is used to compare two or more numbers.
Therefore,
At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,
The Junior population at 2:00 pm is as follows;
12 pm to 2pm is 120 minutesThen, 120 / 15 = 8
20 × 8 = 160 students
The junior student increased by 120 by 2pm.
The Senior population at 2:00 pm is as follows;
45 × 8 = 360 students
360 senior student left by 2 pm.
Therefore,
Junior student by 2pm = 700 + 160 = 860 students
Senior student by 2 pm = 110 - 360 = 740 students
The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37
learn more on ratio here: https://brainly.com/question/20331008
The radius of a circle is 12.7 ft. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
Answer:
79.8
Step-by-step explanation:
how to solve (4s - 5t)²
Answer:
Step-by-step explanation:
An angle measures 12.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
180 angles usually up and down from each other
Step-by-step explanation:
85.2
94.8
write a word phrase that means the samme as x/4
Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120
Answer:
120 <= 16+(w*d)
108<=d*w
Step-by-step explanation:
let w = weeks and d = dollars saved per week
Choose the system of equations that best represents the situation below:
The sum of two numbers is 25 choose the system that best represents the situation below and their difference is 7. Find the two numbers.
A. x + y = 18
B.x + y = 25
2 + y = 7
C. x - y = 25
2 - y = 7
D. x+y= 25
x - y = 7
Answer: x = 16, y = 9
D. x + y = 25
x - y = 7
Step-by-step explanation:
Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.
The sum of two numbers is 25
x + y = 25
Their difference is 7
x - y = 7
D. x + y = 25
x - y = 7
How long does this lease last?
What is the value of x if x * x + 2x - 35 = 0?
Answer:
x=5 or -7
step by step:
x2+2x−35=0
Step 1: Factor the left side of the equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Answer:
Your X value would equal to:
5 or -7
(images attached below show a step by step explanation)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Can someone please help me? :(
Answer:
A
Step-by-step explanation:
4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
It's 3.5
(from the answer 3.464101615)
Hope this helps!
PLS HURRY AND TY!!!
Write eight and three hundred twenty-four thousandths in standard form.
Answer:
0.324 inch
Step-by-step explanation:
When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..
Question below! :)
Brainliest!
The angle shown is less than 90 degrees so it is an acute angle.
answer: acute
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
To use the Pythagorean theorem:
⇒ define Pythagorean theorem
(look at the diagram attached for a better understanding)
Information Given:
length of the two legs: 5, 9Information Wanted:
length of hypotenuseSolve:
[tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]
Rounded to nearest tenth:
Answer: Length of hypotenuse is 10.3
Hope that helps!
5,5/2,5/4 find the ninth term
Answer:
T9 = 5/256
Step-by-step explanation:
This is a geometric progressionYou can tell it by looking at the pattern of the progression whether each term +- or ×÷.
From the question,
First term, a = 5
Common ratio, r = (5/2)/5 = ½
n = 9
Using the formula for nth term of a geometric progression,
[tex] t_{n} = a {r}^{n - 1} [/tex]
T9 = 5(½)^(9-1)
= 5/256
What is the cube of 6?
A. 216
B. 42
C. 36
D. 18
Answer:
A
Step-by-step explanation:
Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216
Multiplying a number by 3 is equal to sum of the number and 5.
Answer:
this makes no sense
Step-by-step explanation:
The number that when multiplied by 3, equals the sum of the number and 5 is 2.5.
How can we solve for 2.5?First assume that the number we are looking for is x.
One side of the equation will be:
= 3 × x
= 3x
The other side of the equation would be:
= 5 + x
Equating these numbers gives:
3x = 5+ x
3x - x = 5
2x = 5
x = 5/ 2
x = 2.5
In conclusion, the number is 2.5.
Find out more on operations involving solving for numbers at https://brainly.com/question/18897826.
What are two transformation that will produce a figure that is congruent to the original figure?
Answer: Translation, reflection, rotation
Step-by-step explanation:
