Answer:
r = 59
Step-by-step explanation:
59 + r = 118
59 + r - 59 = 118 - 59
r = 59
Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.
the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is
Answer:
20%
Step-by-step explanation:
The percentage change is the difference divided by the original amount, expressed as a percentage.
(30 -25)/25 × 100% = 20%
Production increased by 20%.
Solve the equation for x. 1 2 x − 6 = 8 A) x = −7 B) x = −7 C) x = 14 D) x = 28
Answer:
X = 7
Explanation
2x-6=8
2x=6+8
2x=14
2x/2 = 14/2
x = 7
Simplify completely
x2 + 12x +35
3x + 15
[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]
Solve the system of equations. y=x-5; y=x^2-5x+3
[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
A moving truck traveled 333 miles in 6 hours. A car traveled 210 miles in 4 hours. What was the average rate of speed (mph) for each vehicle?
Divide distance by time
Truck : 333/6 = 55.5 miles per hour
Car: 210/4 = 52.5 miles per hour
Answer:
Below.
Step-by-step explanation:
Speed of truck = 333/6 = 55.5 mph.
Speed of car = 210/4 = 52.5 mph.
A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
How much was deducted from the original price?
$0.40
$4.20
$5.20
$7.80
5. PRACTICE E Use Math Tools There were 242 fish in 22 fish
tanks at the pet store. If there were an equal number of fish in
each fish tank, how many fish were in each tank? Draw models
to find the quotient.
Answer:
There is 11 fish in each fish tank
Step-by-step explanation:
242 total fish
divided into 22 fish tanks
242÷22=11
Draw 11 fish in each of the 22 fish tanks
The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.
The sum of polynomials involves adding the polynomials
The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
The sum of the polynomials is given as:
[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]
One of the polynomials is given as:
[tex]P = 4y^2 - 3[/tex]
Represent the other polynomial with Q.
So, we have:
[tex]P +Q =Sum[/tex]
Substitute the expressions for P and Sum
[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]
Make Q the subject
[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]
Evaluate like terms
[tex]Q =y^3 -y^2+ 4y - 1[/tex]
Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
Read more about polynomials at:
https://brainly.com/question/1487158
Can i get some help :
Answer:
the second
Step-by-step explanation:
Answer:
0.9 + n = 5.2
Step-by-step explanation:
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Associative property:-
[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]
Now
[tex]\\ \sf\longmapsto (w+9)+3[/tex]
[tex]\\ \sf\longmapsto 3+(w+9)[/tex]
Pleaseee help meeee
Answer: A.
Step-by-step explanation:
This is the only option in which the terms are ordered from least to greatest.
Therefore, A is the correct answer.
Calculate the measure of the major arc MPN.
Answer:
310°
Step-by-step explanation:
The sum of arcs around a circle is 360°.
MPN +MN = 360°
MPN = 360° -MN . . . . . . . . subtract MN
MPN = 360° -50° = 310° . . . fill in the given value
The measure of major arc MPN is 310°.
M=7 v=32 p=mv solve for P
I really really need help on this
Answer:
since m=7 and v=32
p= 7• 32
p= 224
Plslslslslslsllep
Helppp tyyyyyyyy
[tex](5xy ^{2} {)}^{3} \\ = {5}^{3} \times {x}^{3} \times y ^{2 \times 3} \\ = 125 {x}^{3} {y}^{6} [/tex]
Answer:
[tex]125 {x}^{3} {y}^{6} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
125x^3y^6
Step-by-step explanation:
Distribute the 3 exponent on the outside to the 5, x^1 and y^2
5^3 = 125
1 * 3 = 3
2 * 3 = 6
125x^3y^6
5
9
(
F
−
32
)
The equation above shows how temperature
F
, measured in degrees Fahrenheit, relates to a temperature
C
, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
A
Step-by-step explanation:
BECAUSE ITS EZ
Find the midpoint of PQ¯¯¯¯¯¯¯¯ with endpoints P(0, 2) and Q(6,−2). Then write an equation of the line that passes through the midpoint and is perpendicular to PQ¯¯¯¯¯¯¯¯ . This line is called the perpendicular bisector.
Answer:
The midpoint of PQ is (3,0) and the equation if the line perpendicular to PQ is y=3/2(x-3).
Step-by-step explanation:
To find the midpoint, find the average of the x and y values. (0+6)/2=3 and (-2+2)/2=0
In order to make a perpendicular line, we must find the slope first of the original line.
(y2-y1)/(x2-x1) is the formula for slope
(-2-2)/(6-0)= -4/6=-2/3
Now we know the slope which is all we need to start making the equation using the point slope form which is y-y1=m(x-x1) (let m be slope) and we use the midpoint (3,0) as our point. since it is perpendicular, we will take the slope and flip it as well as change the sign
y-0=3/2(x-3) or y=3/2(x-3)
if you'd like, you can distribute and put it in slope intercept form
y=3/2x+9/2
which ratios make up a proportion
Answer:
2nd option
Step-by-step explanation:
The ratios on both sides must be equal
[tex]\frac{15}{6}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{5}{2}[/tex] ≠ [tex]\frac{3}{2}[/tex] , then not a proportion
[tex]\frac{4}{5}[/tex] ( multiply numerator/ denominator by 3 )
= [tex]\frac{12}{15}[/tex] , this is a proportion
[tex]\frac{9}{21}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{3}{7}[/tex] ≠ [tex]\frac{6}{7}[/tex] , then not a proportion
[tex]\frac{10}{16}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{5}{8}[/tex] ≠ [tex]\frac{2}{8}[/tex] , then not a proportion
Answer:
1. 18/8
2. 16/20
3. 15/28
4. 12/24
help please brainliest and 30 pts
Answer: B though im not sure
Step-by-step explanation:
a^-13/ a^-6= ?
Rewrite the expression in the form a^n
Answer:
a^-7
Step-by-step explanation:
so when dividing exponents you subtract them so the exponents are -13 and -6 you would just subtract them
-13 - (-6) = -13 + 6 = -7
and so a^-7 is ur answer
The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?
Answer:
The temperature of the liquid 15 minutes later is [tex]151.5[/tex]
Step-by-step explanation:
This is an example of arithmetic progression
We need to find 15 th term
Here
[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]
is -2x+3 the same as 2x-3
Answer:
no they are different numbers, however their signs are inverted
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...
-2x+3 = 10 2x-3 = 10
-3 -3 +3 +3
------------------ -----------------
-2x = 7 2x = 13
x = [tex]\frac{7}{2}[/tex] x = [tex]\frac{13}{2}[/tex]
x = 3.5 x = 6.5
As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.
Hope this helps! :D
look at the right angle triangle ABC 75
Answer:
A and B are equal to 52.5°
Step-by-step explanation:
One angle has to be 75°, so let's say that angle C is 75°. You need to subtract 75 from 180, which is 105°. Now, divide 105° by 2, which equals 52.5. Your answer is: Angles A and B are both equal to 52.5
what is 38942390785289037x348092387490287
38942390785289037x34809238749028
A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34. Which of the following values is outside the 99% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58 Remember, the margin of error, ME, can be determined using the formula M E = StartFraction z times s Over StartRoot n EndRoot EndFraction. The value of 135 because it is not greater than 136. 5 the value of 137 because it is greater than 136. 5 the value of 138 because it is less than 153. 2 the value of 154 because it is greater than 153. 2.
The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''
Given that,A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
We have to find,Which of the following values is outside the 99% confidence interval for the population mean?
According to the question,A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
Sample space n = 85,
Mean = 146
And standard deviation = 34
Then, The standard error of the sample is,
[tex]= \dfrac{\sigma}{n}\\\\= \dfrac{34}{\sqrt{85}}\\\\= \dfrac{34}{9.21}\\\\= 3.6[/tex]
Then, z-critical value for 99% is 2.58,
Margin of error = ±9.515
Confidence interval for lower bound is,
= 146 - 9.515 = 136.485
And confidence interval upper bound is,
= 146 + 9.515 = 155.515
Here, 135 is less than the lower bound,
Therefore, 135 does not lie within a 99% confidence interval.
For more details about Lower bound refer to the link given below.
https://brainly.com/question/15974739
Answer:
Answer is
the value of 135
Step-by-step explanation:
just in case some of u have different lettered answers your A may be C so i just give the numerical answer lol its easier
answer this question attached please
Answer:
30 degree
Step-by-step explanation:
sum of the interior angles of a hexagon=720degree
one angle of the hexagon=720/6=120degree
one angle of the rhombus=90 degree
therefore, x=120-90=30
13=2m+5
m = ?
help me pls
Answer:
m=4
Step-by-step explanation:
Answer:
The answer would be 4. It may seem like a lot of steps but its a lot easier then you think haha
Step-by-step explanation:
13-5 = 2m + 5 - 5 (Subtract 5 from both sides of the equation)
8 = 2m (Simplify)
8/2 = 2m/2 ( Divide both sides of the equation by the same term)
m= 4 (Solution)
if it's 11:24 what time will it be in 49 minutes
Hi,
if it's 11:24, it wil be 12:13
✅(◠‿◕)
Help me please i’ll give brainliest!
Which inequality matches the graph
Answer:
x ≤ -2
Step-by-step explanation:
its going towards numbers smaller than negative 2 so its less than. A closed circle dot means it includes the -2 so its less than or equal to