Answer:
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]
[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]
[tex]\\ \rm\longmapsto 5(3)[/tex]
[tex]\\ \rm\longmapsto 15[/tex]
Four out of every 5 doctors use computers.
Write the ratio of doctors who use computers to all doctors.
If 4 out of 5 doctors use computers, how many doctors out of 5 do not use computers?
Write the ratio of doctors who use computers to those who do not.
Answer:
80%
Step-by-step explanation:
in other words 80 percent of Doctors use computers and 20% do not use computers.
2/9+1/3 thx for helping I need ASAP
Step-by-step explanation:
[tex] \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} [/tex]
ten times the sum of half a number and six is eight
Answer: x=585
Step-by-step explanation:
thats the answer
Its midpoint i need help
Answer:
(3.5, 4.8)
Step-by-step explanation:
2.6 - 1.7 = 0.9, 2.6 + 0.9 = 3.5
3 - 1.2 = 1.8, 3 + 1.8 = 4.8
Answer:
[tex]thank \: you[/tex]
Verify the following (-23) { ( -5) + (19) } = ( -23) x -5 + (-23) x (19)
explanation needed fast pls
What fraction is equal to -0.37?
X/6 = 8 what is the answer
Answer:
x = 48
Step-by-step explanation:
Multiply both sides by 6
x = 6 * 8
x = 48
Check:
48/6 = 8
8 = 8
Answer:
[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]
Solve for c.
9 = 2(c + 3) + 1
c =
Answer:
c = 1
Step-by-step explanation:
Given
9 = 2(c + 3) + 1 ← distribute parenthesis and simplify right side
9 = 2c + 6 + 1
9 = 2c + 7 ( subtract 7 from both sides )
2 = 2c ( divide both sides by 2 )
1 = c
Answer:
[tex]c = 1[/tex]
Step-by-step explanation:
[tex]9 = 2(c + 3) + 1 \\ 9 = 2c + 6 + 1 \\ 9 = 2c + 7 \\ 9 - 7 = 2c \\ 2 = 2c \\ c = \frac{2}{2} \\ c = 1[/tex]
Hope it is helpful.....Given the value of B in the attached photo ,
1. Find the cofactor of matrix B
2. Hence, find the inverse of matrix B
Answer:
answer is in attachment
can someone please help me please
Max drove 185 miles on the Autobahn. He drove for 2 hours at 65 miles per hour, and then sped up to 110 miles per hour for the last part of his trip.
Solve this equation for t
to find out how many hours Max drove at 110 miles per hour.
185 = 65(2) + 110t
Answer:
Max drove half an hour at 110 miles per hour.
Step-by-step explanation:
185 = 65(2) + 110t
185 = 130 + 110t
-130 -130
---------------------------
55 = 110t
/110 /110
----------------------------
0.5 = t
A van moves with a constant speed of 116 km/h. How long will it take to travel a distance of 174 kilometers?
Answer:
1.5 hours / 90 minutes
Step-by-step explanation:
time = distance ÷ speed
Please help me solve this.
Step-by-step explanation:
Steps are in the picture above.
Note:if you need to ask any question please let me know.
What is -0.1 as a fraction?
Answer:
-1/10
Step-by-step explanation:
after (.) we put zero in the denominator according to how many numbers are after .
-0.1= -1/10
hope this will help you
plz mark me as braniliest
Two numbers are said to be -------- If they do not have common factor other than 1.
When two numbers have no common factors other than 1. In other words there is no value that you could divide them both by exactly (without any remainder). Relatively Prime is also called "coprime" or "mutually prime".
I think this help you Now thank you
The answer is Co-prime
Hope It Help
Number 22 is the one I need help with plsss and ASAP
Answer:
[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]
Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?
Call a bottle of juice costs is x
$2.49 + 12x = $27.57
12x = $27.57 - $2.49
12x = $25.08
x = $25.08 / 12
x = $2.09
SO each bottle of juice costs $2.09.
Mark as Brainliest If the answer is helpful!
A car accelerates from stationary state to X kmj-1 in 10 minutes. If the acceleration of the car is 300 km h-2, find the value of X.
Step-by-step explanation:
X = Acceleration × time
=300× (10/60)
=50km/h
Avery has three times as much money as Jackie. Jackie has $6 less than Samantha. Together they have $56. How much money does each have?
HEEEEELP
The money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.
Given that,
Avery has three times as Jackie.
Also, Jackie has $6 lower than Samantha.
Together they have $56.
Based on the above information
Let us assume the Jackie be x
So, Avery should be 3x
Samantha should be x + 6
So, the equation should be
x + 3x + x + 6 = $56
5x = $56 - $6
5x = $50
x = $10
So, Jackie has $10
Avery has $30
And, Samantha has $16
Therefore we can conclude that the money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.
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Write and equation in point slope form:
Perpendicular to the line y=2x+6; passes through the point (0,9).
Answer:
y - 9 = -1/2 (x - 0)
Step-by-step explanation:
perpendicular slope = -1/2
y - 9 = -1/2 (x - 0)
hey please help i’ll give brain
Answer:
[tex]7 \times 6 = 5 \: sixes + 2 \: sixes \\ 7 \times 6 = 30 + 12 \\ = 42 \\ \\ thank \: you[/tex]
Hi ;-)
[tex]7\cdot6=5 \ \text{sixes}+\boxed2 \ \text{sixes}\\\\=\boxed{30}+12\\\\=\boxed{42}[/tex]
here is a sequence of number 7, 5 ,3 ,1, - 1 find the next term in the sequence
Answer:
-3
Step-by-step explanation:
in every term we subtract 2 so
7-2=5
so in every answer subtract 2
5-2=3
3-2=1
1-2=-1
-1-2=-3
Answer:
- 3
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 2
Thus subtracting 2 from the last term shown gives the next term
- 1 - 2 = - 3
PLZ HELPP
Q: Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off
into streams, the nitrates can have a toxic effect on
fish. An ecologist studying nitrate pollution in two
streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.
1. Explain what the dot above 12 in the Stony Brook graph represents.
By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L
To understand this, first I want to give a brief explanation of how these graphs work.
You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.
Each of these 42 places is represented with a dot in the corresponding graph. Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).
So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L
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SOMEONE HELP ME PLEASE AND SHOW WORK
Answer:
23
Step-by-step explanation:
9x-4=6x+5
3x-4=5
3x=9
x=3
plug in x
6(3)+5 = 23
If ∠ROQ and ∠ROS are complementary angles, then what is the value of x and m∠ROS?
A.
x = 28; m∠ROS = 60°
B.
x = 31; m∠ROS = 62°
C.
x = 62; m∠ROS = 31°
D.
x = 60; m∠ROS = 28°
Answer:
B. x = 31; m∠ROS = 62°
Step-by-step explanation:
Complementary angles add to 90
∠ROQ + ∠ROS = 90
28+2x = 90
Subtract 28 from each side
2x = 90-28
2x=62
Divide by 2
2x/2 = 62/2
x = 31
∠ROQ =28
∠ROS = 2x=2*31 = 62
Convert 8x - 6y + 12 = 0 into Slope-Intercept Form.
Answer:
y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
8x - 6y + 12 = 0 ( subtract 8x + 12 from both sides )
- 6y = - 8x - 12 ( divide terms by - 6
y = [tex]\frac{-8}{-6}[/tex] x + 2 , that is
y = [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form
Solve 1/3(2x - y) = z for x
PLEASE HELP SHOW WORK!!!!
Answer:
[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]
I hope I helped you^_^
If QS bisects PQT, SQT=(8x- 25),PQT=(9x+34), and SQR=112, find each measure.
The values of the angles are;
x = 12°
m∠PQS = 71°
m∠PQT = 142°
m∠TQR = 41°
The reason the above values are correct is as follows:
Question: The part of the question that appears missing as obtained online is as follows;
The required angles: x, m∠PQS, m∠PQT, and m∠TQR
Please see attached drawing of the angles from the question
The given parameters are;
[tex]\overset{\longrightarrow}{QS}[/tex] bisects ∠PQT
m∠SQT = (8·x - 25)°
m∠PQT = (9·x + 34)°
m∠SQR = 112°
We have;
m∠PQT = m∠SQT + m∠PQS (Angle addition postulate)
m∠SQT ≅ m∠PQS (Angles formed by angle bisector are congruent)
m∠SQT = m∠PQS Definition of congruency
m∠PQT = 2 × m∠SQT
Therefore;
(9·x + 34)° = 2 × (8·x - 25)° = (16·x - 50)°
Collecting like terms gives;
(34 + 50)° = 16·x - 9·x = 7·x
7·x = 84°
x = 84°/7 = 12°
x = 12°
m∠SQT = (8·x - 25)°
Therefore;
m∠SQT = (8 × 12 - 25)° = 71°
m∠SQT = 71°
m∠PQT = 2 × m∠SQT
∴ m∠PQT = 2 × 71° = 142°
m∠PQT = 142°
m∠PQS = m∠SQT (Angles formed by the same bisector [tex]\overset{\longrightarrow}{QS}[/tex])
∴ m∠PQS = m∠SQT = 71°
m∠PQS = 71°
m∠SQR = m∠SQT + m∠TQR (Angle addition postulate)
m∠SQT = 71°
∴ m∠SQR = 112° = 71° + m∠TQR
m∠TQR = 112° - 71° = 41°
m∠TQR = 41°
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Find the distance between the points (2,1) and (1,-1/3)
Answer:
[tex] \boxed{d = \frac{5}{3}}[/tex]
Step-by-step explanation:
[tex]given \: points \: (2,1) \: and \: (1, - \frac{1}{3}): \\ d \: = \sqrt{ (x _{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} } \\ d \: = \sqrt{ (1 - 2)^{2} +( - \frac{1}{3} - 1)^{2} } \\ d \: = \sqrt{ ( - 1)^{2} +( - \frac{4}{3})^{2} } \\d \: = \sqrt{ (1) +( \frac{16}{9}) } \\d \: = \sqrt{ 1 + \frac{16}{9} } \\d \: = \sqrt{ \frac{9}{9} + \frac{16}{9} } \\d \: = \sqrt{ \frac{25}{9} }\\d \: = \frac{\sqrt{ 25 }}{\sqrt{ 9 }} \\d \: = \frac{ 5}{3} [/tex]
a jar contains 65 pennies 27 nickels 30 dimes and 18 quarters a coin is randomly selected from the jar find each probability
The required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].
Given:
Pennies = 65
Nickels = 27
Dimes = 30
Quarters = 18
To find:
The probability of each.
Solution:
The probability formula:
[tex]\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]
Total number of coins:
[tex]65+27+30+18=140[/tex]
The probability of selecting Pennies is:
[tex]P(\text{pennies})=\dfrac{65}{140}[/tex]
[tex]P(\text{pennies})=\dfrac{13}{28}[/tex]
The probability of selecting nickels is:
[tex]P(\text{nickels})=\dfrac{27}{140}[/tex]
The probability of selecting dimes is:
[tex]P(\text{dimes})=\dfrac{30}{140}[/tex]
[tex]P(\text{dimes})=\dfrac{3}{14}[/tex]
The probability of selecting quarters is:
[tex]P(\text{quarters})=\dfrac{18}{140}[/tex]
[tex]P(\text{quarters})=\dfrac{9}{70}[/tex]
Therefore, the required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].
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