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Related Questions
Allison practices her violin for at least 12 hours per week. She [practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her goal?
Please show the Inequality
Answers
If she practices 3/4 of an hour a week we need to find out how much time is 3/4 of an hour. To do this we divide 60/4 and get 15. We check by multiplying 15 x 4 and get 60 so we know we are correct.
Now we know that 1/4 of an hour is 15 minutes, but we need to know how long she practices per session. Because 15 is 1/4 we multiply 15 x 3 to make it 3/4.
15 x 3 is 45. We check by dividing 45 by 3 and we do get 15 so we are correct.
If 3/4 of an hour is 45 minutes and she practices for 3/4 of an hour then we know that for every session she practices for 45 minutes.
The question states that she practices for 3 hours every week, since we know that we need to multiply 45 (because she practices 45 minutes every session) by a number that will get us 3 hours.
45 x 4 is 180 minutes (or three hours) we divided 180 by 4 and got 45 thus we are correct.
Which in turn means she has done 4 sessions this week. Since now we know that 4 sessions is 3 hours (making the ratio 4:3) we can multiply to find how many sessions she has left to do this week.
So if we have 4:3 then we can make it 8:6 (which means we know have 8 sessions and 6 hours) now we can make it 12:9 (12 sessions and 9 hours) and add it once more to get 16:12 (or 16 sessions and 12 hours).
Now we know that it takes 16 sessions for her to reach twelve hours, and since she and already done 4 sessions and 3 hours, it means that she has 12 sessions left to do until she is able to get her 12 hour a week goal.
—
Hope this helped, have a great day! :D
Answer:
[tex]3+\frac{3}{4}x\geq 12[/tex]
Step-by-step explanation:
Given,
The number of hour he already practiced in this week = 3,
Also, she practices for three fourth of an hour each session,
If x be the number of remaining session,
So, the additional number of hours he practiced in this week = [tex]\frac{3x}{4}[/tex]
Thus, the total number of hours he practiced in this week = [tex]3+\frac{3x}{4}[/tex]
According to the question,
Total number of hours ≥ 12 hours
[tex]\implies 3+\frac{3x}{4}\geq 12[/tex]
Which is the required inequality.
(3p3q)^3/4
What is the expression in radical form?
Answers
Answer:
[tex]p^2\sqrt[4]{27pq^3}[/tex]
Step-by-step explanation:
[tex](3p^3q)^\frac{3}{4}[/tex]
To get radical form , remove the fractional exponent
[tex](a^m)^n=a^{mn}[/tex]
multiply the exponent 3/4 inside the parenthesis
[tex]3^\frac{3}{4} p^{3 \cdot \frac{3}{4}} q^\frac{3}{4}[/tex]
[tex]3^\frac{3}{4} p^{\frac{9}{4}} q^\frac{3}{4}[/tex]
[tex]\sqrt[4]{27} \cdot p^2\sqrt[4]{p} \cdot \sqrt[4]{q^3}[/tex]
[tex]p^2\sqrt[4]{27pq^3}[/tex]
The radical form of the expression [tex]\rm \left (3p \times 3q \right )^{\frac{3}{4}}[/tex] will be [tex]\left ( 3\sqrt{3} \right ) \left (\sqrt[4]{p^3q^3} \right )[/tex].
How do convert the exponent into the simplest radical form?If the power of the variable "a" is b/c. Then the simplest radical form of the expression will be
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
[tex]\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}[/tex]
The expression is given below.
[tex]\rm \rightarrow \left (3p \times 3q \right )^{\frac{3}{4}}[/tex]
We know that (ab)ⁿ = aⁿ × bⁿ. Then the expression will be
[tex]\rm \rightarrow \left (3^{\frac{3}{4}} \times p^{\frac{3}{4}} \times 3^{\frac{3}{4}} \times q^{\frac{3}{4}} \right )[/tex]
Simplify the expression in the radical form. Then we have
[tex]\rm \rightarrow \left (3^{\frac{3}{2}} \times p^{\frac{3}{4}} \times q^{\frac{3}{4}} \right )\\\rightarrow \left ( \sqrt{3^3} \times \sqrt[4]{p^3} \times \sqrt[4]{q^3} \right ) \\\rightarrow \left ( 3\sqrt{3} \right ) \left (\sqrt[4]{p^3q^3} \right )[/tex]
The radical form of the expression [tex]\rm \left (3p \times 3q \right )^{\frac{3}{4}}[/tex] will be [tex]\left ( 3\sqrt{3} \right ) \left (\sqrt[4]{p^3q^3} \right )[/tex].
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Mia is three years older than twice for Sister Brooke’s age. The sum of their ages is less than 30. What is the greatest age Brooke could be? 7, 10, 8, or 9?
Answers
3+2x : Mia age
[tex]x + 3 + 2x < 30 \\ 3x + 3 < 30 \\ 3x < 27 \\ x < 9[/tex]
The greatest age could be 8
Answer:
the greatest age is 8
Step-by-step explanation:
i took the test
Ali currently has $25. He is going to start saving $5 every week. Ali's Savings Function Rule: y = 5x + 25
The rate of change of this function is
Answers
So rate of change = 5
The rate of change of Ali's saving function according to the first derivative is 5.
Given the saving function :
[tex]y = 5x + 25[/tex]
The rate of change is the first derivative of y
Therefore,
[tex] \frac{dy}{dx} = 5[/tex]
Therefore, the rate of change of the function is 5.
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Point H is the circumcenter of triangle DEF.
Which must be true? Check all that apply.
Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
HE=HD
LH=NH
MEH NEH
DLH FNH
Answers
Answer:
the correct answers are:
a. ) Point H is the center of the circle that passes through points D, E, and F.
c. ) HE=HD
Point H, being the circumcenter, ensures it is the center of the circle through D, E, and F and that HE equals HD; other statements regarding unrelated points cannot be confirmed.
Explanation:If Point H is the circumcenter of triangle DEF, then the following must be true:
Point H is the center of the circle that passes through points D, E, and F since the circumcenter is equidistant to all vertices of the triangle, forming the circumscribed circle.HE=HD since, by the definition of a circumcenter, it is equidistant from all vertices of the triangle.The other statements regarding points L, M, N cannot be determined to be true without additional information, as they are not related to triangle DEF and its circumcenter directly.
In summary, Point H as the circumcenter ensures it is at the center of the circumscribable circle through D, E, and F, and that HE equals HD.
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PLEASE HELP ME
The base of a triangle measures (2x + 7) units and the height measures (4x + 6) units. Part A: What is the expression that represents the area of the triangle? Show your work to receive full credit. (4 points) Hint: Area = 0.5bh Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Answers
[tex]A=\frac{1}{2}bh=\frac{1}{2}(2x+7)(4x+6)[/tex]
For Part B, you will need to multiply out the two binomials in the equation for the area. The degree of the polynomial is the largest power on x, and the classification of the polynomial depends on this degree. A polynomial with degree 1 is a monomial, degree 2 is a binomial, and degree 3 is a trinomial. For Part C: I am not sure how rigorously you have gotten into the closure property for polynomials. What I believe they want you to say is that multiplying two polynomials will always produce a polynomial.
M= x+n over p solve for x
Answers
Mp= x + n
x= n - Mp
m×p=x+n
m×p-n=x or n-m×p
Given that there are eight ounces in a cup and four cups in a quart , which quaintity below is equal to 128 ounces
A- 256
B- 64
C- 16
D- 2
Answers
1 cup = 8 oz
1 quart = 4 cup
If you want the equivalence of cups to 128 ounces:
128 ounces * 1 cup / 8 ounces = 128 / 8 cup = 16 cup
So, if the complete question which number of cups is equal to 128 ounces, the answer is the option C. 16
I fyou want the equivalence of quarts to 128 ounces:
128 ounces * 1 cup / 8 ounces * 1 quart / 4 cup = 4 quart (given that this number is not among the choices, this should not be the question).
The answer is D- 2.
128 ounces is equivalent to 1 quart in the English system. Knowing that 1 quart equals 4 cups and 1 cup equals 8 ounces, we can calculate that 128 ounces is equal to 1 quart.
A - 256B - 64C - 16D - 2Explain how to find a general rule for the product (a+b)^3.
Answers
and follow the last example on the page.
A table is on sale for $403, which is 38% less than the regular price. what is the regular price
Answers
The regular price of the table is $650.
The student has asked to find the regular price of a table that is currently on sale for $403, which is 38% less than the regular price. To find the regular price, we can consider the sale price to be 62% (100% - 38%) of the regular price. Let's denote the regular price as R. Thus, we can set up the equation 0.62 * R = $403. Solving for R, we divide both sides by 0.62 to find the regular price:
R = $403 / 0.62
R = $650
Therefore, to find the regular price of a table on sale for $403 at 38% off, we determine that the sale price is 62% of the regular price. By dividing the sale price by 0.62, we discover that the regular price is $650.
a farmer has 268 cows. each cow has either one or two calves. if there are 335 calves in total, what fraction of the cows have two calves
Answers
A man is 18 years older than his son. in 2 years, his age will be twice the the age of his son. how old is the son at this point in time?
Answers
Marni danced in a contest to raise money for an animal shelter. Marni raised $30 plus $1.80 per minute that she danced. She raised a total of $264. Let x equal the number of minutes Marni danced. What expression completes the equation to determine the total amount of minutes Marni danced? How many minutes did Marni dance? Enter the answers in the boxes.
Answers
Answer: 1: 30+1.8x=264
2: 130 min
Step-by-step explanation:
What is the value of a 3 - b 2 for a = 3 and b = ? A. 8 B. 8 3/4 26 3/4 26
Answers
Answer:
probably 26
Step-by-step explanation:
Which statement describes how to solve sqrt3x+4 = sqrt3x+4?
A. Square both sides once and then solve the resulting linear equation.
B. Square both sides once and then solve the resulting quadratic equation.
C. Square both sides twice and then solve the resulting linear equation.
D. Square both sides twice and then solve the resulting quadratic equation.
NEED IT ASAP
Answers
since both equations are the same, you would square it one and solve for the linear equation
Answer is A
Answer:
A
Step-by-step explanation:
A square pyramid has a base edges 10 in long and a height of 4 in sketch the pyramid and find the surface area round your answer to the nearest tenth
Answers
1. Given △PQR≅△STU, m∠R=80°, and m∠S=70°, what is the measure of ∠Q?
2. What is m∠AEB?
(image is for this question)
Answers
2) All vertical angles add up to 360 so 360/2= 180 so <AEB is 180
The ratio of the radii of two circles is 4:5. What is the ratio of the circumferences of the two circles?
Answers
RADIUS 4 RADIUS 5
C= 2 x pi x 4 C = 2 x pi x 5
Both have 2 pi in them, so factor out leaving 4:5 still
C = 2πr
first circle
C = 8π
second circle
C = 10π
answer
ratio of radius 4:5, ratio of circumferences 8π: 10π
If k is the midpoint of hj and hk =x+6 and hj =4x-6 then What does kj equal
Answers
hk=x+6
hj=4x-6
Remember midpoint cuts the segment hj in equal parts that means hk=kj and hk+kj=hj
hk+hk=hj
2hk=hj
2hk=hj
2 (x+6)=(4x-6)
2x+12=4x-6
2x-2x+12=4x-2x-6
12=2x-6
12+6=2x-6+6
18=2x
18/2=2x/2
9=x
hk=kj=x+6=(9)+6=15
kj=15
The value of kj is 15.
It is required to find the value of kj.
What is midpoint ?The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Given that:
k is the midpoint of hj and hk.
hk=x+6
hj=4x-6
We know that midpoint cuts the segment hj in 2 equal parts that means hk=kj and hk+kj=hj
hk+hk=hj
2hk=hj
2hk=hj
2 (x+6)=(4x-6)
2x+12=4x-6
12+6=4x-2x
18=2x
Divide 2 on both sides, we get
18/2=2x/2
9=x
hk=kj=x+6=(9)+6=15
kj=15
Therefore, the value of kj is 15.
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For dinner, Abelita chooses the Italian salad that costs $3.99 before tax, and Franco chooses the fettuccini alfredo that costs $7.17 before tax. If the sales tax is 5 percent, explain how to find the total cost for their dinner.
Answers
Answer: The total cost of the dinner is found by adding the two prices together. Then this sum is multiplied by 1.05, which is 100% + 5%, to get a cost of $11.72.
Step-by-step explanation:
This is the sample answer.
To calculate the total cost including sales tax, convert the percent tax rate to a decimal, multiply it by the meal's cost, and add it to the original cost. In this case, a 5 percent tax on a $3.99 salad and a $7.17 fettuccini alfredo results in a final total cost of $11.72.
Explanation:Calculating Total Cost with Sales TaxFirst, to find the sales tax for Abelita's Italian salad and Franco's fettuccini alfredo, you convert the tax rate from a percent to a decimal. The tax rate is 5 percent, which as a decimal is 0.05. Next, add the cost of the Italian salad ($3.99) and fettuccini alfredo ($7.17) to get the total cost before tax, which is $11.16. Multiply this total by the tax rate to find the amount of sales tax: $11.16 × 0.05 = $0.558. Round this to the nearest cent, which gives us $0.56.
The next step is to add the sales tax to the total cost before tax to find the final total cost. Thus, $11.16 (meal cost) + $0.56 (sales tax) = $11.72. Therefore, the total cost for their dinner, including the 5 percent sales tax, is $11.72.
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If a cup of cereal has 12 grams of fiber, which is 40% of the recommended daily amount. What is the recommended daily amount?
Answers
100% = 12/40 x 100
= 30
The recommended daily amount is 30 grams of fiber.
Sparky had room for 16 rows in his garden. He planted 3 rows of tomatoes for every 5 rows of onions. How many rows of tomatoes did he plant?
Answers
Answer: 6 rows - tomatoes
Step-by-step explanation:
Two people bought 48 oranges pat bought five times as many as chris. how many oranges did chris buy
Answers
Chris bought [tex]8[/tex] Oranges.
What is reasoning ?Reasoning is the process of using existing knowledge to draw conclusions, make predictions, or construct explanations.
We have,
Chris and Pat bought [tex]48[/tex] oranges.
Let,
Oranges bought by Pat [tex]= x[/tex]
Oranges bought by Chris [tex]= y[/tex]
Now,
According to the question;
As Pat bought five times as many as bought by Chris.
i.e.
[tex]x=5y[/tex] [tex]........(i)[/tex]
And,
Chris and Pat bought [tex]48[/tex] oranges.
i.e.
[tex]x+y=48[/tex] [tex]........(ii)[/tex]
Now,
Substituting value of [tex]x[/tex] from equation [tex](i)[/tex] in equation [tex](ii)[/tex];
We get,
[tex]5y+y=48[/tex]
[tex]6y=48[/tex]
[tex]y=8[/tex]
Now,
Substituting value of [tex]y[/tex] in equation [tex](i)[/tex];
[tex]x=5y[/tex]
[tex]x=5*8[/tex]
[tex]x=40[/tex]
Hence, we can say that Chris bought [tex]8[/tex] Oranges and Pat bought [tex]40[/tex] Oranges.
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The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula P = 2ℓ + 2w to find the length of the frame if the width is 19 inches.
Answers
2l + 2(19) = 72
2l + 38 = 72
2l = 34
l = 17
Hope this helps!
The length of the picture frame is 17 inches, which is found by substituting the given width and perimeter into the perimeter formula and solving for the length.
The question asks to calculate the length of a picture frame using the perimeter formula P = 2l + 2w, where P stands for the perimeter, l is the length, and w is the width. Given that the width (w) is 19 inches and the perimeter (P) is 72 inches, we can substitute these values into the formula:
P = 2l + 2w
72 = 2l + 2(19)
72 = 2l + 38
2l = 72 - 38
2l = 34
l = 34 / 2
l = 17 inches
So, the length (l) of the frame is 17 inches.
What is radical 64/8 simplified
Answers
Answer:
2^(6-3) = 2^3 = 8
Step-by-step explanation:
To simplify radical 64/8
We will express 64 and 8 in powers of 2
64 = 2×2×2×2×2×2= 2^6
8 = 2×2×2=2^3
From the law of indices,
a^5 / a^3 = a^ (5-3) = a^2
Applying this law of indices to the given radical,
64/8 = 2^6/ 2^3
= 2^(6-3)
= 2^3 = 8
Also, we can try another way. since
64 = 2×2×2×2×2×2= 2^6
8 = 2×2×2=2^3
64/8 = 2×2×2×2×2×2 / 2×2×2
2×2×2 cancels out 2×2×2 and
It remains 2×2×2 = 8
So which ever way we do it,
radical 64/8 simplified is 2^3 = 8
What number is between these 2 numbers 6,534 and 6,565
Answers
it can be any number between and including 6535 to 6564
hope this helps
Jason knows that AK←→⊥KB←→ , AK←→∥EF←→ , and AK←→∥CB←→ .
Which other facts can Jason conclude are true?
Select each correct answer.
m∠EJM=90°
KB←→⊥CB←→
m∠JFB=90°
KB←→∥DM←→−
Answers
The corresponding angles between parallel lines and their common transversal are congruent
The other facts Jason can conclude are true are:
1) [tex]\mathbf{\underset{CB}{\leftrightarrow}}[/tex] ⊥ [tex]\mathbf{\underset{KB}{\leftrightarrow}}[/tex]
2) m∠JFB = 90°
The reason why the above selected options are correct are:
The relationships between the lines Jason knows are:
Segment AK is perpendicular to KB: [tex]\underset{AK}{\leftrightarrow}[/tex] ⊥ [tex]\underset{KB}{\leftrightarrow}[/tex]
Segment AK is parallel to EF: [tex]\underset{AK}{\leftrightarrow}[/tex] ║ [tex]\underset{EF}{\leftrightarrow}[/tex]
Segment AK is parallel to CB: [tex]\underset{AK}{\leftrightarrow}[/tex] ║ [tex]\underset{CB}{\leftrightarrow}[/tex]
m∠DKF = 90°
The required information:
The facts that Jason can conclude are true
Method:
Find the other relationships between the lines based on the relationships Jason knows
Solution:
We have;
[tex]\underset{AK}{\leftrightarrow}[/tex] ║ [tex]\underset{EF}{\leftrightarrow}[/tex], therefore, [tex]\mathbf{\underset{EF}{\leftrightarrow}}[/tex] ⊥ [tex]\mathbf{\underset{KB}{\leftrightarrow}}[/tex]
[tex]\underset{AK}{\leftrightarrow}[/tex] ║ [tex]\underset{CB}{\leftrightarrow}[/tex], therefore, [tex]\mathbf{\underset{CB}{\leftrightarrow}}[/tex] ⊥ [tex]\mathbf{\underset{KB}{\leftrightarrow}}[/tex]
[tex]\underset{AK}{\leftrightarrow}[/tex] ║ [tex]\underset{EF}{\leftrightarrow}[/tex], and [tex]\underset{AK}{\leftrightarrow}[/tex] ║ [tex]\underset{CB}{\leftrightarrow}[/tex], therefore, [tex]\mathbf{\underset{EF}{\leftrightarrow}}[/tex] ║ [tex]\mathbf{\underset{CB}{\leftrightarrow}}[/tex]
The relationship, [tex]\underset{EF}{\leftrightarrow}[/tex] ⊥ [tex]\underset{KB}{\leftrightarrow}[/tex], gives m∠JFB = 90°
Therefore;
The correct options for the facts Jason can conclude are;
1) [tex]\mathbf{\underset{CB}{\leftrightarrow}}[/tex] ⊥ [tex]\mathbf{\underset{KB}{\leftrightarrow}}[/tex]
2) m∠JFB = 90°
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How many solutions are there to the equation below? -46 = 3x + 7x
Answers
-46=10x
X= 10/(-46)
X=-5/23
Therefore, the equation only has one solution
Choose the graph that matches the following system of equations 4x +2y=-2 x-3y=24
Answers
4x + 2y = -2 represents the red line.
x - 3y = 24 represents the blue line.
The solutions of the above system of equations is x = 3 and y = -7 and the graph of above system of equations is as shown below.
What is system of equations?"It is a finite set of equations for which we find the solution."
For given question,
We have been given a system of equations.
4x +2y = -2 ................(i)
x - 3y = 24 ................(ii)
From equation (ii),
x = 24 + 3y .............(iii)
Substitute this value of x in equation (i)
⇒ 4(24 + 3y) +2y = -2
⇒ 96 + 12y + 2y = -2
⇒ 14y = -98
⇒ y = -7
Substitute this value of y in equation (iii)
⇒ x = 24 + 3(-7)
⇒ x = 24 - 21
⇒ x = 3
Therefore, the solutions of the above system of equations is x = 3 and y = -7 and the graph of above system of equations is as shown below.
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Which is the graph of a quadratic equation that has a positive discriminant?
Answers
x=[tex] \frac{-b+- \sqrt{b^2 -4ac} }{2a} [/tex] and b^2-4ac=0, we're left with 0 and we are therefore left with -b/2a as the vertex and the vertex being the x intercept. If the discriminant is negative, that means that there is no y intercept and the vertex therefore has to be over y=0
Answer:
D. Last gragh
Step-by-step explanation: