[tex]\frac{3}{2}x[/tex] - 4 = 16
[tex]\frac{3}{2}x[/tex] = 20 added 4 to both sides
3x = 40 multiplied both sides by 2
x = [tex]\frac{40}{3}[/tex] divided both sides by 3
Answer: x = [tex]\frac{40}{3}[/tex]
If a student drinks 64 ounces of coffee each day, how many gallons do they drink per year? Round to the nearest tenth. Please help fast!!
Final answer:
A student who drinks 64 ounces of coffee each day consumes 182.5 gallons per year, after converting ounces to gallons (64 ounces/day × 365 days/year, then divided by 128 ounces/gallon).
Explanation:
To calculate the amount of coffee a student drinks per year in gallons, we first need to understand the relationship between ounces and gallons. We know that 1 gallon is equivalent to 128 fluid ounces. So, to find out how many gallons 64 ounces represent, we divide 64 by 128.
64 ounces per day × 365 days per year = 23,360 ounces per year.
Next, divide the total annual ounces by the number of ounces in a gallon:
23,360 ounces per year ÷ 128 ounces per gallon = 182.5 gallons per year.
Therefore, rounded to the nearest tenth, a student drinks 182.5 gallons of coffee each year.
A cereal box that is shaped like a rectangular prism has a length of 5 centimeters, a width of 4 centimeters, and a height of 10 centimeters. What is the volume?
200 is the volume of the cereal box
At 2pm the level of water in the pool was 10 feet.At 6pm the level of water was 2 feet .Find the constant rate of the water.
Answer:boi
Step-by-step explanation:
Need help asap please! A toy company has determined that the revenue generated by a particular toy is modeled by the following equation: 13x - 0.025x² The variable x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars. What is the maximum revenue the company can earn with this toy?
The equation is r(x) = 10x - 0.025x² where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.
For maximum r, r'(x) = 0
It becomes: r'(x) = [tex]10-0.025\times2x=0[/tex]
= [tex]10-0.5x=0[/tex]
[tex]x=\frac{10}{0.05}[/tex]
x= 200
Hence, r(200) = [tex]10\times200-0.025\times200^{2}[/tex]
Solving it we get,
r(200) = 1000
Hence, maximum revenue the company can earn with this toy is $1000.
Is a reference angle always in the first quadrant or can it be in other quadrants? HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The reference angle is defined as the smallest angle that theta could make between the terminal arm and the x axis.
That definition limits the answer to your question as yes, it is in the first quadrant.
A basketball player won 80% of the games he pichted.If he picthed 35 ballgames how many games did he win
28 games won
we require to calculate 80% of 35
80% = [tex]\frac{80}{100}[/tex] = 0.8
games won = 0.8 × 35 = 28
A cell phone company charges $45 a month for phone service and $0.25 for each text message. Which equation can be used to find the total number of text messages sent in a month? How many text messages were sent if the monthly bill was $75?
Only enter the capital letter of your choice into the blank (A, B, C, or D).
A) 45 + 0.25t = C; t = 480
B) 45t + 0.25 = C; t = 120
C) 45t + 0.25 = C; t = 480
D) 45 + 0.25t = C; t = 120
Hey!!
A cell phone company charges $45 a month and hence, this would be constant and would be same the same value. And the company charges $0.25 for every text message.
Let's take the number of text messages as ' t '
The question asks us to find the number of text messages needed to make it $75 for the first month.
We know, the constant is $45 and we know the number of text messages as ' t ' and we also know the cost of each text messages is $0.25. And with all this given, we can find the total cost which is denoted by ' c '.
The total cost would be the price of a month added to the cost of text messages.
The total cost = c
The price of for month = $45
The price of text messages = $0.25t
Now, let's form the equation :
... c = 45 + 0.25t ( this is the equation )
The total cost given is $75
Hence, the equation would be :
... 75 = 45 + 0.25t
Subtract 45 on both sides
... 30 = 0.25t
Divide 0.25 on both sides
... t = 120
Hence, the answer would be option ( D )
Hope my answer helps!!
Solve for x. 6x-10≤8 or 1/3 x+6>12
The solution is
[tex]x\le 3 \:or \:x>18[/tex]
[tex]<b><u>EXPLANATION</u></b>[/tex]
[tex]6x-10\le 8\: or \frac{1}{3}x+6>12[/tex]
We group like terms, to obtain;
[tex]6x\le 8+10\: or \frac{1}{3}x>12-6[/tex]
Simplify to get,
[tex]6x\le 18\: or \frac{1}{3}x>6[/tex]
We further simplify to get;
[tex]x\le 3\: or x>18[/tex]
This can also be rewritten as;
[tex]x\le 3, x>18[/tex]
Or
[tex](-\infty 3] \cup (18,+ \infty)[/tex]
This can be represented on the number line as shown in the diagram.
Answer: (-∞,3)∪(18,∞)
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You must solve for x, as following:
[tex]6x-10\leq8\\6x\leq18\\x\leq3[/tex]
[tex]\frac{1}{3}x+6>12\\x>3(6)\\x>18[/tex]
2. Therefore, you have that the result is:
(-∞,3]∪(18,∞)
To convert 4,450 m to cm, you would move the decimal point _____ places to the _____.
move the decimal point 2 places to the right
note 1m = 100 cm
4450m = 4450 × 100 cm
multiplying by 100 is equivalent to moving the decimal point 2 places to the right
Convert the following measures of capacity.
a. 35 cubic meters to liters
b. 450 cubic centimeters to milliliters
c. 19.74 cubic meters to cubic decimeters
d. 926 cubic centimeters to cubic decimeters
Answer:
a)35 cubic meters=35000 liters.
b)450 cubic centimeters= 450 milliliters.
c)19.74 cubic meters=19740 cubic decimeters.
d)926 cubic centimeters=0.926 cubic decimeters.
Step-by-step explanation:
a) since one cubic meter = 1000 liters,
35 cubic meters=35 X 1000=35000 liters
b) Since one cubic centimeters=1 milliliter,
450 cubic centimeters=450 milliliters.
c)Since one meter = 10 decimeters, one cubic meter=10³ decimeters.
Hence 19.74 cubic meters= [tex]19.74X10^{3} =19740[/tex] cubic decimeters.
d) Since once centimeter=0.1 decimeter, 1 cubic centimeter=0.1³ decimeters.
Hence 926 cubic centimeters=[tex]926X0.1^{3}=0.926[/tex] cubic decimeters.
a. 35 cubic meters to liters:
1 cubic meter = 1000 liters
so 35 cubic meters = 35 x 1000 = 35,000 liters
b. 450 cubic centimeters to milliliters:
1 cubic centimeter = 1 milliliter
Therefore 450 cubic centimeters = 450 milliliters
c. 19.74 cubic meters to cubic decimeters:
1 cubic meter = 1000 cubic decimeters
so 19.74 cubic meter = 19.74 x 1000 = 19740 cubic decimeters
d. 926 cubic centimeters to cubic decimeters:
1 cubic centimeters = 0.001 cubic decimeters
so 926 cubic centimeters = 926 x 0.001 = 0.926
Alleen can read 1.5 pages for every page her friend can read.Alleen's mom was very extcited and she said to alleen: "so,if your friend reads 20 pages, you can read 25 in tge same time period!" is alleen mom correct ?
Answer:
no. she can read 30
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
Ingrid types 3 pages in the same amount of time that tanya types 4.5 pages. If the grid and tanya start typing at the same time how many pages will tanya have typed when ingrid has typed 11 pages ?
The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′(−1, 4) , Q′(−2, 2) , and R′(2, 1) .
Which statement correctly describes the relationship between △PQR and △P′Q′R′ ?
△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
△PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′ .
△PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.
ANSWER
The correct answer is B
EXPLANATION
If we analyse the coordinates carefully, you realize there is a mapping of
[tex](x,y)\rightarrow(-x,y)[/tex]
This is a reflection in the y-axis.
Since the transformation is a reflection, the shape is preserved. Therefore, the image triangle P'Q'R' of triangle
PQR are congruent.
Answer:
B
Step-by-step explanation:
Can someone help me do this?
A. -13ab
B. 5a^2b
C. 3
please help asap 25 pts
Remark
This is much the same as the last inequality that you posted. When it tells you that you have 1 condition that is more than and one condition that is less than, then you need a compound statement. One of A and B is correct. C or D never will be.
At Least 4
This is the more than condition. You need 4 or more pennies to add to the collection. The rule is the same. The pointy end always points towards the smallest amount
4 ≤ x
No more than 2
That means that you can have 2 or under. The pointy end points to the x
2 ≥ x The biggest number (open end of the arrow) points at the 2.
Answer
2 ≥ x or 4 ≤ x That means the answer is A
Convert to decimal expression 0.2777... To a fraction
Name three ways you can solve a system of nonlinear equations.
Substitution.
Elimination.
Using a Combination of methods.
Using absolute value
I hope this helps!
A star track runner ran 315 feet in nine seconds. What was his average speed in feet per second?
What is the distance between these two points on a number line?
178 and 313
A.
–491
B.
–135
C.
135
D.
491
what is the value 4 in 12.47
It's in the tenths place.
Simplify the expression.
x^5/x^9
a. 1/x^4
b.x^14
c. 1/x^14
d.x^4
If Mckenna has 17 cups of flour how many cakes did she bake?
Write each equation in slope-intercept form of the equation of a line.
3x+4y–12=0
Answer:
The slope − intercept form is __
The slope is __
The y − intercept is __
The x-intercept is 4
The y-intercept is 3
The slope is -3/4
How many solutions are there to the equation below? 14x + 2 = 12x
this is an equation in one variable and has only one solution
14x + 2 = 12x ( subtract 12x from both sides )
2x + 2 = 0 ( subtract 2 from both sides )
2x = - 2 ( divide both sides by 2 )
x = [tex]\frac{-2}{2}[/tex] = - 1 ← one solution
The equation 14x + 2 = 12x has only one solution.
14x + 2 = 12x
subtract 12x from both sides
14x - 12x + 2 = 12x - 12x
2x + 2 = 0
subtract 2 from both sides
2x + 2 - 2 = 0 - 2
2x = - 2
divide both sides by 2
2x / 2 = -2 / 2
x = -1
Therefore, the equation have only one solution.
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Mitchel are 45 hotdogs in 3 minutes at the annual hot for eating contes. What is mitchel’s unit rate
Mitchel Unit rate is 15 hotdogs per minute we know this because it show 45 hotdogs in 3 minutes and 45 divided by 3 is 15 so the unit rate is 15.
The zoo feeds the tortoise, rhinoceros, and zebra a total of 23 pounds of vegetables a day. How many pounds does the zoo feed the animals a month based on an average 30 day month? Write an equation to show how the supply changes each month.
PLEASE HELP ME
If I understand your question correctly, you want to know how many pounds of vegetables the zoo feeds the animals a month if its a 30 day month?
In that case it would be 23 pounds times 30 days which is 690 pounds of vegetables. SO the zoo feeds the animals 690 pounds of vegetables to the animals each month.
Is that what your asking for?
To calculate the total monthly vegetable supply for the zoo animals, you multiply the daily feed amount by the average number of days in a month (23 pounds/day * 30 days/month = 690 pounds/month).
Explanation:The student's question involves calculating the total amount of vegetables fed to the animals at the zoo over a month. To find this, we can set up a simple multiplication equation, where we multiply the daily food requirement by the number of days in a month. According to the question, the zoo feeds the tortoise, rhinoceros, and zebra a total of 23 pounds of vegetables a day. We are given that an average month is considered to have 30 days. So, the equation to find the total monthly vegetable supply for the animals would be:
23 pounds/day × 30 days/month = Total pounds/month
By multiplying these two numbers together, we get:
23 pounds/day × 30 days/month = 690 pounds/month
So, the zoo feeds the animals a total of 690 pounds of vegetables in an average 30 day month. If we want to express how the supply changes each month, we can write the equation as S = 23 × D, where S represents the total monthly supply and D represents the number of days in the month.
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q + 12 - 2 (q-22)>0
step by step please hurry ); <3
q + 12 - 2(q - 22) > 0 |use distributive property
q + 12 +(-2)(q) + (-2)(-22) > 0
q + 12 - 2q + 44 > 0 |combine like terms
(q - 2q) + (12 + 44) > 0
-q + 56 > 0 |subtract 56 from both sdies
-q > -56 |change the signs
q < 56If it is multiplied by the identity matrix, what is the resulting matrix?
Answer:
D. [tex]\left[\begin{array}{cc}4&5\\-3&2\\\end{array}\right][/tex]
Step-by-step explanation:
The reason it is called an "identity matrix" is that it doesn't change anything. The result is what you started with.
When the matrix A = [ [2, 3], [4, 5] ] is multiplied by the 2x2 identity matrix, the resulting matrix is still A itself: [ [2, 3], [4, 5] ].
When you multiply a matrix by the identity matrix, the result is the original matrix itself. In this case, matrix A is given as A = [ [2, 3], [4, 5] ], and you want to find A * I, where I represents the identity matrix.
The identity matrix is a square matrix with ones on the main diagonal and zeros everywhere else. In this case, since A is a 2x2 matrix, you would use a 2x2 identity matrix, which looks like:
I = [ [1, 0], [0, 1] ]
Now, when you multiply A by I:
A * I = [ [2, 3], [4, 5] ] * [ [1, 0], [0, 1] ]
You can perform matrix multiplication as follows:
[ (2*1 + 3*0), (2*0 + 3*1) ]
[ (4*1 + 5*0), (4*0 + 5*1) ]
Simplifying the calculations:
[ 2, 3 ]
[ 4, 5 ]
The resulting matrix is exactly the same as matrix A. So, A * I equals the original matrix A: [ [2, 3], [4, 5] ].
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The probable question maybe:
Given the matrix A = [ [2, 3], [4, 5] ], what is the resulting matrix when it is multiplied by the identity matrix of the appropriate size?
What is m∠M ? Enter your answer in the box. ° The figure shows what appears to be obtuse triangle M N O with obtuse angle M. The measure of angle M is left parentheses 3 times x minus 16 right parentheses degrees. The measure of angle N is x degrees. The measure of angle O is left parentheses x plus 6 right parentheses degrees.
We know:
The sum of the measures of the angles of a triangle is equal 180°.
Therefore we have the equation:
[tex](3x-16)+x+(x+6)=180\\\\3x-16+x+x+6=180\\\\(3x+x+x)+(-16+6)=180\\\\4x-10=180\ \ \ \ |+10\\\\4x=190\ \ \ \ |:4\\\\x=47.5[/tex]
m∠M = (3x-16)°
Substitute:
[tex]m\angle M=(3\cdot47.5-16)^o=(142.5-16)^o=126.5^o[/tex]
Answer: m∠M = 126.5°Answer:
98
Step-by-step explanation:
I got it wrong when I typed in 126.5, its actually 98
Go forth and Conquer