Answers
[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]
[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]
[tex]\\ \sf{:}\dashrightarrow x=6[/tex]
#y
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]
[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]
[tex]\\ \sf{:}\dashrightarrow y=8[/tex]
Here we go
4/x=6/94/x=2/32/x=1/3x=6And
y/12=12/1818y=12²18y=144y=8Related Questions
Use logarithms to solve the equation 5^x = 3^(2x-1), giving your answer correct to 3 significant figures.
Answers
[tex]5^x = 3^{2x-1}\\\\\implies \ln(5^x) = \ln\left(3^{2x-1}\right)\\\\\implies x \ln 5 = (2x-1) \ln 3\\\\\implies x \ln 5 = 2x \ln 3 - \ln 3\\\\\implies 2x \ln 3 - x \ln 5 = \ln 3\\\\\implies x(2 \ln3 - \ln 5) = \ln 3\\\\\implies x =\dfrac{\ln 3}{2 \ln 3 - \ln 5} = 1.87[/tex]
The solution to the equation is x ≈ 1.864 (correct to 3 significant figures).
To solve the equation 5ˣ = 3²ˣ⁻¹ using logarithms, we'll take the logarithm of both sides to bring down the exponent. Since the bases are different (5 and 3), we can use either the natural logarithm (ln) or the common logarithm (log base 10). Let's use the natural logarithm (ln):
Take the natural logarithm (ln) of both sides:
ln(5^x) = ln(3²ˣ⁻¹)
Apply the logarithm rule: ln(a^b) = b * ln(a):
x * ln(5) = (2x - 1) * ln(3)
Expand the equation:
x * ln(5) = 2x * ln(3) - ln(3)
Move the terms with "x" to one side of the equation:
x * ln(5) - 2x * ln(3) = -ln(3)
Factor out "x" from the left side:
x * (ln(5) - 2 * ln(3)) = -ln(3)
Solve for "x":
x = -ln(3) / (ln(5) - 2 * ln(3))
Now, we can calculate the value of "x" using a calculator:
ln(3) ≈ 1.099
ln(5) ≈ 1.609
x ≈ -1.099 / (1.609 - 2 * 1.099) ≈ -1.099 / (1.609 - 2.198) ≈ -1.099 / (-0.589) ≈ 1.864
Therefore, the solution to the equation is x ≈ 1.864 (correct to 3 significant figures).
Learn more about natural logarithm from the link given below.
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A painter uses 15 gallons of interior paint to cover 300 square yards of wall and ceiling space. On a different job, he uses 8 gallons to cover 160 square yards. No paint is left over on either job. How many gallons of paint are needed to cover 1 square yard?
Answers
Answer:
.05
Step-by-step explanation:
300/15
20 sqr yrds per gal
1/20
1/20 or .05 Gal per sqr yrd
What is the sale price with 15% off? Original price: $110 of bears head phones
Answers
Answer:
93.5
Step-by-step explanation:
what is 0.128 as a fraction
Answers
[tex]0.128 \\ = \frac{128}{1000} \\ = \frac{16}{125} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
16/125
Step-by-step explanation:
Write 0.128 as
0.128/1
Multiply both numerator and denominator by 10 for every number after the decimal point
(0.128 × 1000)/(1 × 1000) = 128/1000
Reducing the fraction gives
16/125
find all complex solutions of 3x^2-6x+1=0
Answers
Answer:
[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]
If the gross domestic product is currently 12,443.9 billion dollars and grows by 5 percent, how much will it be next year?
Answers
Answer:
12,448.9
Step-by-step explanation:
i'm sorry if this is wrong
Which pair of triangles can be proven congruent by SAS?
Answers
Answer:
The first one
Step-by-step explanation:
SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the one triangles are said to be congruent.
Don has seven pairs of shoes, three pairs of pants, and six shirts. If all items are compatible, how many different outfits can he wear?
Answers
Answer:
126
Step-by-step explanation:
There are 126 different ways he can wear the outfit.
What is Combination?The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.
Given:
Number of pairs of shoes= 7
Pants= 3 pairs
Shirts= 6
So, different outfits can he wear
= 7 x 3 x 6
= 21 x 6
= 126
Hence, there 126 different ways he can wear the outfit.
Learn more about combination here:
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Please help with this question
Answers
Answer:
D
Step-by-step explanation:
The first equation would have to have a y-intercept of 4, and the second equation would have to have a y-intercept of -1.
-hope it helps
Answer: what the actual fudge is this?? i am a former harvard professer for math and I have never seen such a monstrocity of a math question, but the answer is the first one.
Step-by-step explanation:
does y vary directly with x? if it does write an equation for the direct variation.
Answers
Answer:
No it does not
Step-by-step explanation:
Two points simplify to 1/6 whilst the other, 1/5
A coin is tossed and the spinner is spun one possible outcome is H3 (heads, 3). What is the sample space for the experiment?
Answers
Supposing a spinner with 4 sides, the sample space is:
{H1, H2, H3, H4, T1, T2, T3, T4}
The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the coin, there are two possible outcomes: H or T.Supposing the spinner has 4 sides, there are four possible outcomes: 1, 2, 3, or 4.Hence, the sample space is:
{H1, H2, H3, H4, T1, T2, T3, T4}
For more on sample space, you can check https://brainly.com/question/25775544
-4x +8 = 24
What is the value of x in the equation?
8
4
-4
-8
Answers
Answer:
-4x+8=24
24-8
16/-4x
x= -4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
-4x + 8 = 24
Subtract 8 from both sides to isolate the x.
-4x + 8 = 24
-8 -8
-4x = 16
Divide -4 from both sides to solve for x.
-4x = 16
/-4 /-4
x = -4
a painter has 3 gallons of paint and each will cover 420 ft of wall space. if the total area was 1800 ft what percent of the job could the painter finish with the paint he already has?
Answers
Answer:
23.33333%
Step-by-step explanation:
The hypotenuse is NOT located across from the right angle
True or false
Answers
The statement, The hypotenuse is NOT located across from the right angle is false.
What is a right angled triangle?
A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.
Please find attached an image of a right-angled triangle. To learn more about a triangle, please check: https://brainly.com/question/9329354
If .60 = N could you write the expression .60N
Answers
Answer:
N+60
Step-by-step explanation:
How to graph the table
Answers
IS IT 60 CAN SOMEONE TELL DID I CLICK IT RIGHT ?
Answers
hi how have you been and i think u did get it right
Help plz 20 points question is in the pic
Answers
If a learner’s permit holder is convicted of committing a moving violation, he/she
A must restart the 9 month waiting period to be eligible for a provisional license.
B must complete the Driver Improvement Program on line
C must wait until he/she is 21 to receive a driver’s license.
D none of the above.
Answers
PLEASE HELP ME WITH THIS!!
Answers
Answer:
A 3x10^-6
Step-by-step explanation:
What is the value of t in the equation 3(t − 4) = 2t + 1?
Answers
Answer: 13
Step-by-step explanation:
Distribute t.
Multiply 3 by each value in parentheses to get
3t - 12 = 2t + 1
Add 12 to both sides
3t = 2t + 13
Subtract 2t from both sides
t = 13
Answer:
t = 13
Step-by-step explanation:
[tex]3(t-4)=2t+1\\\\3t-12=2t+1\\\\t-12=1\\\\t=13[/tex]
s=ut +1/2at
u=10 a= -2 t=1/2
what is the value of s
Answers
Answer: 4.5
Step-by-step explanation:
S= ut + 1/2(at)
S= 10(1/2) + 1/2(-2x1/2)
S= 5 + 1/2(-1)
S= 5 + (-.5)
S= 4.5
help please please help
Answers
Answer:
24/35
Step-by-step explanation:
Hope this helps!:)
(64/8/ 4 + 7 – 2) • 5 =
Answers
Answer:
35
Step-by-step explanation:
Let me know if I got it right
Help I need the answers ASAP
Answers
Answer:
304 and 512
Step-by-step explanation:
satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?
Answers
A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
What is the position of the scuba diver relative to sea level?Choose from the drop-down menu to correctly complete the statement.
The scuba diver is
Choose... 13,21,64,72
feet
Choose... above or below
sea level.
Answers
Answer:
21 above is the answer
Step-by-step explanation:
2 1/2+x=5 1/3 PLEASE HELP
Answers
Answer:
Step-by-step explanation:
2 1/2 + x = 5 1/3 Change the mixed numbers to improper fractions
5/2 + x = 16/3 The lowest common multiple is 6. Multiply by 6
5*3 + 6x = 16*2
15 + 6x = 32 Subtract 15 from both sides.
6x = 32 - 15
6x = 17 Divide by 6
6x/6 = 17/6
x = 2 5/6
Check
5/2 + 17/6 = 16/3
15/6 + 17/6 = 32/6
32/6 = 32/6 The question checks.
Given: -3x+y=1. Write the equation In general form Ax + By + C =0.
3x - y = -1
3x = y + 1 = 0
-3x + y -1=0
Answers
The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.
So,
Equation I = (3x + y = 1) and
Equation II = (6x + 2y = 2)
= { 2(3x + y) = 2}
= 3x + y = 2/2
= 3x + y = 1
So, The given equations are 3x + y = 1 and 3x + y = 1.
Thus, there is one equation in two variables.
So, the given equations have an infinite number of solutions.
Answer:
1st option; 3x-y=-1
Step-by-step explanation:
-3x + y = 1
we can divide through by -1 so that the 'x' value is positive:
3x - y = -1
Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9
Answers
Answer: [tex]2c^9[/tex]
Step-by-step explanation:
I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]
[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)
[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)
[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]
[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Common factors (terms that are in all expressions):
[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]
Simplify:
[tex]2c^9[/tex]