The expression '2 3/2' is a mixed number. Converting this to an improper fraction results in 7/2, which simplifies to 3.5. This does not match any of the provided options.
Explanation:The expression '2 3/2' implies that we are dealing with mixed numbers, meaning you have a whole number and a fraction combined. When you see this, you should convert the mixed number into an improper fraction. The way to do this is to multiply the whole number by the denominator of the fraction and then add the numerator to this product. In this case that would be (2*2) + 3 which equals 7. Your new fraction would be 7/2 which equals 3.5 when simplified to a decimal. This does not correspond to any of the provided options (A, B, C, D), signifying that the original question may have been misinterpreted or contains a typographical error.
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2 3/2 is equal to 7/2 or D) Two times the square root of 16.
Explanation:When we have a whole number followed by a fraction, we can convert it to an improper fraction.
To do this, we multiply the whole number by the denominator of the fraction and add the numerator.
So in this case, 2 x 2 + 3 = 7.
Therefore, 2 3/2 is equal to 7/2 or D) Two times the square root of 16.
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find the area of the trapezoid
168in^2
72ft^2
94.5ft^2
84ft^2
the answer is 84
hope this helps you!!
Answer:
168 in
Step-by-step explanation:
Can You Please Help Me.
Write an inequality that matches the number line model.
13. x≤-3
14. x<1 1/2
:) :) :)
What is the perimeter of the trapezoid 30 POINTS
The top is 1 unit.
The bottom is 9 units.
Use the distance formula to find the length of the side.
Give the end points coordinates
(2,2) and (6,5)
Length = √((6-2)^2 +(5-2)^2) = 5 units.
The total perimeter is the top + the bottom + 2 sides.
Perimeter = 1 + 9 + 5 + 5 = 20 units.
The perimeter of a figure is the distance around the figure.
To find the perimeter of the trapezoid shown, we can simply add all the sides. Since there are no numbers we can count each block as 1 unit.
Let's identify our values:
Top of trapezoid = 1 unit
Bottom of trapezoid = 9 units
Left and right side of trapezoid = 10 units "added together"
Now, we can add these numbers up and we will get the perimeter of the figure.
1 + 9 + 10 = 20
Therefore, the perimeter of the trapezoid is 20 units.
MARKNING BRAINLEST ! :) * The table shows a linear function, find the values of A , B , & C. Show your work.
X Y
A 7
3 8
5 9
7 B
C 11
Answer:
A = 11, B = 25/3, C = -1
Step-by-step explanation:
A linear function has the form:
f(x) = ax + b
(1)
f(3) = 8a + b = 8
f(5) = 5a + b = 9
Using the last 2 equations we can solve for 'a' and 'b'.
8a + b = 8 | 5a + b = 9
We multiply the second one by -1:
8a + b = 8 | -5a -b = -9
And then we add them together:
3a = -1
a = [tex]\frac{-1}{3}[/tex]
We then solve for 'b':
5a + b = 9
5(-1/3) + b = 9
b = 9 + 5/3
b = 32/3 = [tex]11\frac{1}{3}[/tex].
We then use this to find A, B, C.
f(x) = (-1/3)x + 32/3
(2)
f(A) = -A/3 + 32/3 = 7
[tex]\frac{-A}{3} + \frac{32}{3} = 7\\A - 32 = -21\\A = 11[/tex]
(3)
f(7) = -7/3 + 32/3 = B
25/3 = B
(4)
f(C) = -C/3 + 32/3 = 11
[tex]\frac{-C}{3} + \frac{32}{3} = 11\\C - 32 = -33\\C = -1[/tex]
An architect has a scale drawing of an addition that is to be added to a house with a scale of 1 inch: 2 feet. If the drawing is 6 inches by 10 inches, how big is the addition to the house going to be?
A) 6 feet by 10 feet
B) 8 feet by 12 feet
C) 10 feet by 12 feet
D) 12 feet by 20 feet
1 inch is 2 feet. So we use this and ask: 6 inch is 6 × 2 feet which is 12 feet. We do this again with 10 inch × 2 is 20 feet.
So the answer is D. 12 feet by 20 feet.
Hope this helps.
r3t40
Anna needs 6 pints of milk to make yogurt. How many cups of milk does Anna need?
Answer:
Anna needs 12 cups.
Anna needs twice as many cups of milk as pints, so for 6 pints she needs 12 cups of milk.
The student is asking how many cups of milk are needed if Anna needs 6 pints to make yogurt. To answer this, we need to use the conversion that 1 pint is equal to 2 cups. Therefore, if Anna needs 6 pints of milk, we calculate the number of cups needed by multiplying 6 by 2.
Step-by-step conversion
Understand the conversion ratio: 1 pint = 2 cups.
Multiply the number of pints Anna needs by the conversion ratio: 6 pints × 2 cups/pint.
Calculate the total number of cups: 12 cups of milk.
So, Anna will need 12 cups of milk to make her yogurt.
A race car was attempting to set a record the race car went 1000 feet in 4.5 seconds to the nearest Tenth what is the average speed of the race car
Answer:
222 ft/sec
Step-by-step explanation:
Essentially you're being asked to find the unit speed (that is, distance per sec).
1000 ft
------------ = 222 feet/sec is the approx. average speed / unit speed
4.5 sec
When x increases from a to a + 2, y increases by a difference of 8.
For which functions is this statement true?
A) y = 2(4)x
B) y = 2(8)x
C) y = 4x + 2
D) y = 8x + 2
Answer:
Step-by-step explanation: the answer is C y= 4x + 2 (usatestprep)
Answer:
C) [tex]y=4x+2[/tex]
Step-by-step explanation:
let's check all the options:
A) [tex]y=2(4)x=8x[/tex]
if x = a
[tex]y(a)=8a[/tex]
and now with x = a + 2
[tex]y(a+2)=8(a+2)=8a+16[/tex]
the answer increased by 16. it is not the right option
B) [tex]y=2(8x)=16x[/tex]if x = a
[tex]y(a)=16a[/tex]
and now with x = a + 2
[tex]y(a+2)=16(a+2)=16a+32[/tex]
the answer increased by 32. it is not the right option
C) [tex]y=4x+2[/tex]if x = a
[tex]y=4a+2[/tex]
and now with x = a + 2
[tex]y(a+2)=4(a+2)+2=4a+8+2=4a+10[/tex]
this time, between [tex]4a+2[/tex] and [tex]4a+10[/tex] there is a difference of 8.
so for this function the statement is true.
Please help me thank you
Answer:
Q1: -2
Q2: 13
Q3: 15
Q4: -12
Q5: 7
Q6: -4
Q7: 12p + 3
what is the sum of -1/3 and 7/9
The answer is 4/9.
First you’d find the least common denominator for the fractions,, which would be 9.
You then multiply the first fraction by 3 to make it equal to 9.
The new equation would be -3/9+7/9.
Add it up, and it would equal 4/9.
-1/3+7/9
-1/3=-3/9
-3/9+7/9=4/8
f(x) = x^2 what is g(x)?
Answer:
[tex]g(x)=(\frac{1}{4}x)^2[/tex]
Step-by-step explanation:
The given functions are;
[tex]f(x)=x^2[/tex]
The function g(x) is a vertical stretch of f(x) by a factor of 'a' units, therefore we can write g(x) in terms of f(x).
This implies that;
[tex]g(x)=a\bullet f(x)[/tex]
[tex]\implies g(x)=a\bullet x^2[/tex]
The graph of g(x) passes through (4,1).
[tex]\implies g(4)=1[/tex]
[tex]\implies a(4^2)=1[/tex]
[tex]\implies 16a=1[/tex]
[tex]\implies a=\frac{1}{16}[/tex]
This implies that;
[tex]\implies g(x)=\frac{1}{16}x^2[/tex]
Or
[tex]g(x)=(\frac{1}{4}x)^2[/tex]
Answer IN THE PICTURE BELOW
G(X)=(1/4X)^2
Need Help Please!!!!!!!
ANSWER
$1,413.81
EXPLANATION
The compound interest formula is given by:
[tex]A=P(1+r\%)^t[/tex]
Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.
We substitute the values in to the formula to get:
[tex]A=900(1+4.62\%)^{10} [/tex]
[tex]A=900(1.0462)^{10} [/tex]
This simplifies to:
[tex]A=1413.81[/tex]
Therefore $1413.81 will be in the account after 10 years.
Answer:
Correct choice is $1413.81.
Step-by-step explanation:
Initial amount P = $900
Rate of interest = r = 4.62% = 0.0462
Number of compounding periods per year n = 1 {Compounded annually}
Time = 10 years
Then balance that is future value after 10 years in the account is given by formula :
[tex]A=P\left(1+\frac{r}{n}\right)^{\left(n\right)\left(t\right)}[/tex]
[tex]A=900\left(1+\frac{0.0462}{1}\right)^{\left(1\right)\left(10\right)}[/tex]
[tex]A=900\left(1+0.0462\right)^{\left(10\right)}[/tex]
[tex]A=900\left(1.0462\right)^{\left(10\right)}[/tex]
[tex]A=900\left(1.57089499829\right)[/tex]
[tex]A=1413.80549846[/tex]
Hence correct choice is $1413.81.
Beginning with January, Connie kept track of the number of books she read each month for six months. By March, she had read a total of 22 books.
By which month had Connie read 40 books?
May
April
March
June
Answer: May
Step-by-step explanation: 40/7.3333 equals 5.45 months basically 5 and a half of a month so 5 months which is may
Answer: May
Step-by-step explanation: 40/7.3333 equals 5.45 months basically 5 and a half of a month so 5 months which is may
What is the value of x?
Answer:
x=19
Step-by-step explanation:
Answer:
I believe 38...
Step-by-step explanation:
Convert 150 minutes to hours. There are 60 minutes in 1 hour.
A) 2 1/2 hours
B) 3 hours
C) 3 1/2 hours
D) 5 hours
The answer would be A, 2 1/2 hours.
Hope I helped!
~Mschmindy
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The answer would be A) 2 1/2 hours.
At a college, 7 out of 10 students work either a full-time or a part-time job in addition to their studies. If 4900 students were involved at college, how many students do not have a full-time or part-time job
Answer:
1470 students do not have a full-time or part-time job
Step-by-step explanation:
We have a relationship between students who have a part-time job and those who do not. The ratio is 7 out of 10 students.
Then we use this relationship as a conversion factor.
If of 10 students, 7 of them have a job, then of 4900 students, how many of them have a job?
[tex]4900 * \frac{7}{10}=3430[/tex] students
Finally, those who do not have a job are:
[tex]4900- 3430 = 1470[/tex]
Using four equations to solve a problem is called a four order system
The answer to your question would be true.
Similarly to fact that a two-order uses two equations, and a three-order system uses three, so a four-order uses four. Basically, just remember that the number of equations matches the number of the order.
Answer:
True
Step-by-step explanation:
a two-order uses two equations, and a three-order system uses three, so a four-order uses four. Keep going to n-order system.
which expression is equivalent to 5y(8y-3)
For this case we have that by definition, the distributive property establishes that:
[tex]a (b + c) = ab + ac[/tex]
Then, given the following expression:
[tex]5y (8y-3)[/tex]
We can rewrite it as:
[tex](5y) (8y) - (5y) (3) =\\40y ^ 2-15y[/tex]
Thus, we have that the expression obtained is an expression equivalent to the given one.
ANswer:
[tex]40y ^ 2-15y[/tex]
A soccer team has played 25 games and has won 60% of the games and has played. WHat is the minimum number of additional games the team must win in order to finish the season winning 80% of the games it has played?
(15 games) is the minimum number of games the team must have played
Answer:
5
Step-by-step explanation:
We are given that a soccer team has played = 25 games
The team won the games =60% of games that has played
We have to find the minimum number of additional games the team must win in order to finish the season winning 80% of the games it has played.
60% of the games=[tex]\frac{60}{100}\times 25=15[/tex]
A soccer team won games that has played =15
if the team won 80% of the games
Then,80% of 25= [tex] \frac{80}{100}\times 25=20[/tex] games
Number of games added to win 80% of the games =20-15=5
Hence, the minimum number of additional games that the team must win 80 % of the games it has played=5
David is filling out orders for an online business and gets paid $1 for each order he fills out plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20. The ratio of the number of orders he processed during the first week to the number of orders he processed during the second week is 3:2, while the the ratio that compares the number of orders he filled out during the first and the third weeks is 4 to 5 respectively. What amount of money will David make at the end of three weeks if the total number of orders he filled out was 385. If necessary, round your answer to the nearest dollar.
Answer:
David will make $481 (he earns the bonus)
Explanation:
If he makes $1 for each order and he filled out 385 orders, then why can't we say he made $385?
Because of this statement rights here:
"...and gets paid $1 for each order he fills out plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20."
So we need to find out if any of the 3 weeks has an average of 20+ orders per day.
David is filling out orders for an online business and gets paid $1 for each order he fills out(x is the amount of orders he fills out)
profit = $1x
plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20.if any average orders per day is > 20 in any week
bonus profit = $1.25x
The ratio of the number of orders he processed during the first week to the number of orders he processed during the second week is 3:2,first week second week
3a : 2a
while the the ratio that compares the number of orders he filled out during the first and the third weeks is 4 to 5 respectively.first week third week
4a : 5a
What amount of money will David make at the end of three weeks if the total number of orders he filled out was 385?sum of all ratios of a = 385
So we have
3a : 2a (first week to second week)
4a : 5a (first week to third week)
Notice how the first two numbers are both from the first week. Let's use the Least Common Multiple to make them equal while still keeping ratios.
LCM of 3 and 4: 12 = 3 * 4
12a : 8a ( times 4 )
12a : 15a ( times 3 )
Now that we have the same value, we can create a big ratio
first week second week third week
12a : 8a : 15a
we know that these ratios will all equal 385. Since ratios are equal no matter how big we make them, we can say that
12a + 8a + 15a = 385 (a is a variable to scale up the ratio)
which is the same as
(12 + 8 + 15) * a = 385
(35) * a = 385
35a = 385
if we solve for a by dividing 35 on both sides we get
a = 11
This gives us how much to multiply the RATIO by to get the ACTUAL NUMBER of orders completed. Let's plug 11 for 'a' and see what happens.
12a + 8a + 15a = 385
12(11) + 8(11) + 15(11) = 385
132 + 88 + 165 = 385 (Check that out, the number of orders each week!)
220 + 165 = 385
385 = 385
Bingo! All the math works out. So, looking back at the verryyy top of this problem, the reason why it wasn't as easy as $385 was because of the bonus.
The bonus gives David $1.25 per order instead of $1 per order if any of the weeks have an average ORDER PER DAY of anything bigger than 20. If we know the real numbers of orders for every week (132, 88, and 165), then we can divide it by 7 to get the average order per day. Let's choose 165 (the third week) because it is the biggest and has the greatest chance of meeting our goal.
165 orders / 7 days (7 days in a week) = 23.57 orders per day
Is this greater than 20 orders per day?
YES!
So now we can safely say that the bonus is there or not, and in this case, the bonus IS there because there is a week where David had more than 20 orders per day.
So instead of using
profit = $1x
We will use
bonus profit = $1.25x
(x is the amount of orders completed)
So if we know he completed 385 orders, and we know he earned the bonus, we plug in 385 for x for the bonus function
bonus profit = $1.25x
bonus profit = $1.25 * 385
bonus profit = $481.25
If necessary, round your answer to the nearest dollar.
So for the very end, all we have to do is round it to the nearest dollar.
$481.25 rounds to $481.
And we're done!
Answer:
426
Step-by-step explanation:
the three totals of orders per week were 132, 88, and 165. David gets a 25 cent bonus only if the average was 20 or more per day in the week, so we divide by 7 to each. The only one that ends up with a quotient greater than 20 is 165 so we do 165*1.25=206.25. we now add up the three totals. 132+88+206.25=426.25. Now we round to the nearest dollar which is 426. And thats our answer!
Sorry if it is a bad explanation.
Hope this helps :)
Which pair of radicals is a pair like radicals
Answer:
D is wrong just took test.... 7√3 and 9√3 is COREECT!
Step-by-step explanation:
Which of the following exponential equations is equivalent to the logarithmic equation below? log750=x
Answer:
I believe the answer is A
Hope This Helps! Have A Nice Day!!
For this case we must indicate an expression equivalent to:
[tex]log (750) = x[/tex]
For properties of logarithm we have to:
[tex]log_ {b} (x) = y[/tex]is equivalent, in its exponential form to:
[tex]b ^ y = x[/tex], where [tex]x> 0, b> 0[/tex] and b different from 1.
In this case:
[tex]b = 10\\x = 750\\y = x[/tex]
So:
[tex]10 ^ x = 750[/tex]
ANswer:
Option D
The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?
Answer:
Answer C is correct.
Step-by-step explanation:
f(x) clearly has a maximum: y = +10 at x = 0.
Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.
Answer A is false. Both functions have max values.
Answer B is false. One max is y = 10 and the other is y = -10.
Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.
Answer D is false. See Answer B, above.
a triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters The height of the prism is 10.2 centimeters Which triangular prism is similar to the described prism
The triangular prism with a side of 16.8 cm and a height of 20.4 cm will be similar to the triangular prism with a side of 8.4 cm and a height of 10.2 cm.
What are Similar figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
As we know for similar figures, the ratio of their corresponding sides is in ratio, therefore, if multiply the dimension of the given prism by 2, we will get the similar triangular prism that we need.
[tex]\text{Side of the triangle} = 8.4\rm\ cm \times 2 = 16.8\ cm[/tex]
[tex]\text{Height of the prism} = 10.2\rm\ cm \times 2 = 20.4\ cm[/tex]
Thus, the triangular prism with a side of 16.8 cm and a height of 20.4 cm will be similar to the triangular prism with a side of 8.4 cm and a height of 10.2 cm.
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A line has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form. Be sure to express the equation without fractions or decimals. (2 points, 1 for work, 1 for equation)
Answer:
Final answer in standard form of the line is [tex]4x+y=5[/tex].
Step-by-step explanation:
Given that slope of the lime m = -4
Now we need to find the equation of a line that has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form.
So plug the given slope m=-4 and the point (0,5) into point slope formula:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-5=-4\left(x-0\right)[/tex]
[tex]y-5=-4\left(x\right)[/tex]
[tex]y-5=-4x[/tex]
[tex]y=-4x+5[/tex]
[tex]4x+y=5[/tex]
Hence final answer in standard form of the line is [tex]4x+y=5[/tex].
Answer:
The equation of this line in standard form is
[tex]4x + y = 5[/tex]
Step-by-step explanation:
To find the equation of a line we need to know two points by which the line passes. You can also find the equation if you know a point through which the line passes and its slope.
For the equation of the line:
[tex]y = mx + b[/tex]
m is the slope and b is the section.
Sane that
[tex]m = -4[/tex]
To find b we substitute the point (0,5) in the equation and solve for b[tex](5) = -4 (0) + b[/tex]
[tex]b = 5[/tex]
The equation is
[tex]y = -4x +5.[/tex]
We rewrite the equation as:
4x + y = 5
if the ratio of radius of two spheres is 4:7, the ratio of their volume is?
Answer:
64 : 343
Step-by-step explanation:
First use the radii to find the volume
1) Radius of first sphere is 4 (taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4 /3πr^3
V = (4/3)(π)(4^3)
V = (4/3)(π)(64)
V = 256/3 π
Volume of the first sphere = 256/3 π
2) Radius of the second sphere is 7 (also taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4 /3πr^3
V = (4/3)(π)(7^3)
V = (4/3)(π)(343)
V = 1372/3 π
Volume of the second sphere = 1372/3 π
Next, calculate the ratio by dividing the two numbers
256/3 π ÷ 1372/3 π
Answer should be 64 : 343
The simple way to do this problem is to just cube the numbers:
4:7 becomes 4^3 : 7^3 = 64 : 343
Either way works.
NEED HELP -
A wise man once said, "500 reduced by twice my age is 310." What is his age?
The wise man is 95 years old.
Explanation:In order to solve this problem, let's first define the variable x as the wise man's age.
The sentence '500 reduced by twice my age' can be written as:
500 - 2x = 310
Now, let's solve the equation to find the value of x:
Subtract 500 from both sides: -2x = -190
Divide both sides by -2: x = 95
Therefore, the wise man is 95 years old.
8. What's one way to check the answer to 5 × 6 = 30? A. 30 × 6 = 5 B. 5 ÷ 6 = 30 C. 30 ÷ 6 = 5 D. 30 × 5 = 6
Answer:
C. 30 / 6 =5
hope this helps
Answer: Option C
Step-by-step explanation:
You know that when you multiply 5 and 6, the product is 30:
[tex]5*6=30[/tex]
Let's check all the options:
Option A shows us that [tex]30*6=5[/tex], this is not true, because:
[tex]30*6=180[/tex]
Option B shows us that [tex]5\div6=30[/tex], this is not true, because:
[tex]5\div6=0.833[/tex]
Option C shows us that [tex]30\div6=5[/tex], this is true.
Option D shows us that [tex]30*5=6[/tex], this is not true, because:
[tex]30*5=150[/tex]
Therefore, the option that shows one one way to check the answer to [tex]5*6=30[/tex] is the Option C.
4 divided by one half
Answer:
The Answer is 2
Step-by-step explanation:
The reason why it is 2 is because just say that If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.
The value of expression 4 divided by one half would be; 8
Known that 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Since Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.
We need to find the expression of 4 divided by one half.
A negative divided by a negative is positive;
4 / 1/2
4 x 2 = 8
Therefore, The value of expression 4 divided by one half would be; 8
Learn more about division here:
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The student body at a high school was surveyed about sports participation. The table below shows the data by grade level. What does the joint relative frequency 28/612 represent?
Im doing this question rn and I believe the answer should be C) the ratio of the student body that are in 12th grade and play two or more sports.
Step-by-step explanation: I chose this bc there are 28 12th graders that play 2 or more sports and the total student body is 612. So 28/612 makes most sense to me. Sorry this is so late but I just checked and it’s right!
Answer:
c
Step-by-step explanation: