Answer:
2/3 - 1/4
=> taking L.C.M of the denominators we get,
=> 8/12-3/12
=> 5/12 is left with her,, ;)
HOPE THIS HELPS YOU...;)
Need help please thanks
Answers: (a→b), (b→a), (c→c)
Explanation:
Column A:
a) [tex]y = -3x + \dfrac{1}{3}[/tex]
m = -3 ⇒ m⊥ = [tex]\dfrac{1}{3}[/tex]
b) 6x - 2y = 4
-2y = -6x + 4
y = 3x - 2
m = 3 ⇒ m⊥ = [tex]-\dfrac{1}{3}[/tex]
c) y - 3 = [tex]\dfrac{1}{3}[/tex](x - 3)
m = [tex]\dfrac{1}{3}[/tex] ⇒ m⊥ = -3
Column B
a) y - 3 = [tex]-\dfrac{1}{3}[/tex](x - 3)
m = [tex]-\dfrac{1}{3}[/tex]
b) y = [tex]\dfrac{1}{3}x + 6[/tex]
m = [tex]\dfrac{1}{3}[/tex]
c) 3x + y = 3
y = -3x + 3
m = -3
******************************************************************************
Column A letter a matches to Column B letter b
Column A letter b matches to Column B letter a
Column A letter c matches to Column B letter c
Terrance is putting away holiday decorations he has 204 ornaments that need to be put away into plastic containers each container has been 6 sections and each section can fit I oranament how many plastic containers Terrance fill
Answer: 34
Step-by-step explanation:
Divide the number of ornaments by the number of sections in the plastic containers.
204/6= 34
Terrance will need 34 plastic containers to store all 204 of his ornaments, with each container holding 6 ornaments.
Terrance has 204 ornaments to put away, and each container has 6 sections; with each section holding one ornament. To find out how many containers Terrance will need, divide the total number of ornaments by the number of ornaments that fit into one container. This is a simple division problem: 204 ornaments divided by 6 sections per container equals 34.
Therefore, Terrance will need 34 plastic containers to store all his holiday ornaments.
Noah bought 15 baseball cards for $9.00. Each baseball card costs the same amount. How much will 12 baseball cards cost
Cost of 12 basketball is $7.2
Given that;
Price of 15 basketball = $9
Find:
Cost of 12 basketball = 12
Computation:
Cost of 12 basketball = 12[9 / 15]
Cost of 12 basketball = 4[9 / 5]
Cost of 12 basketball = 36 / 5
Cost of 12 basketball = $7.2
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What is the slope of a line perpendicular to line B?
Answer:
m = -2/5
Step-by-step explanation:
The first thing we need to do is find the slope of line B.
m = (y2 - y1) / (x2 - x1)
m = (5 - (-5)) / (3 - (-1))
m = 10 / 4
m = 2 1/2 or 5/2
The slope of a line perpendicular to line B will be the negative reciprocal of 5/2. Just flip the numerator and the denominator and add a minus sign:
5/2 → -2/5
What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5? Enter your answer in the box.
Answer:
37.5
Step-by-step explanation:
The average rate of change is the amount over an interval the outputs change in a ratio to the input change. In a linear function, this is constant and called slope. In all other function, it is called the average rate of change because the rate of change varies over the interval. We use the same formula for the average rate of change as we do slope. First we need both the inout and output values of the function over the interval.
For x=1, [tex]f(1)=5(2^1)=5(2)=10[/tex].
For x=5, [tex]f(1)=5(2^5)=5(32)=160[/tex]
Slope:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We substitute [tex]x_1=1\\y_1=10[/tex] and [tex]x_2=5\\y_2=160[/tex]
[tex]m=\frac{160-10}{5-1}[/tex]
[tex]m=\frac{150}{4}=\frac{75}{2} =37.5[/tex]
Answer:
37.5
Step-by-step explanation:
on your own graph paper, graph the system of equations and identify the solution.
{y= - x + 6
y= x
Which of the following polygons has seven sides? decagon octagon pentagon heptagon
D. Heptagon
A decagon has 10 sides
an octogon has 8 sides
a pentagon has 5 sides
a heptagon has 7 sides which in turn leaves you with your answer
plz mark brainliest hope this helps and have a nice day:)
Answer:
heptagon
Step-by-step explanation:
Decagon has 10 sides
Octagon has 8 sides
Pentagon has 5 sides
Heptagon has 7 sides
Alex has 48 stickers. This is 6 times the 4. Number of stickers Max has. How many stickers does Max have?
Assuming you mean:
Alex has 48 stickers. This is 6 times number of stickers Max has. How many stickers does Max have?
48 divided by 6 gives you 8.
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
Probability of rolling a 5: 1/6
Probability of rolling a number greater than 3: 3/6
The probability of rolling a 5 or a number greater than 3 on a six-sided die is calculated by summing the individual probabilities of rolling a 4, 5, or 6, which are each 1/6. Therefore, the total probability is 3/6 or 1/2, equating to a 50% chance.
To solve this, we need to identify the favorable outcomes and divide them by the total number of possible outcomes. A six-sided die has six possible outcomes: {1, 2, 3, 4, 5, 6}. The event of rolling a 5 or a number greater than 3 includes the outcomes {4, 5, 6}. Hence, there are three favorable outcomes for the desired event (rolling a 4, 5, or 6).
The probability of any single outcome is 1/6, as there are six sides to the die. Therefore, the probability of rolling a 5 or a number greater than 3 is calculated by adding the probabilities of rolling each of these numbers:
Probability of rolling a 4 = 1/6Probability of rolling a 5 = 1/6Probability of rolling a 6 = 1/6Adding these probabilities gives us 3/6 or 1/2, making the probability of rolling a 5 or a number greater than 3 being 50%.
Which of the function notation describes the ordered number pair P(x) = {(1,11), (2,22), (3,33), (4,44)}?
11n is most probably the correct one.
I need help please with this
What is the constant of proportionality for the relationship shown in this table?
x 3 6 9 12
y 1 2 3 4
1/6
1/3
3
9
Answer:
It is 1/3.
Step-by-step explanation:
The y values are 1/3 of the x values so the relation is
y = 1/3 x
Constant of proportionality = 1/3
The constant of proportionality for the given relationship y = 1/3x is (1/3).
What is proportionality?Proportionality are of two types one is direct proportion and another is inverse proportion. If two or more two quantities are in proportion they increase or decrease at a constant rate called the constant of proportionality.
We know two quantities are proportional if they increase or decrease by a certain constant rate.
Given when x = 3, y = 1 and when x = 9, y = 3.
∴ We can conclude that x = 3y or y = 1/3x.
So, the constant of proportionality is 1/3.
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Triangles △ABC and △DEF are similar. Find the lengths of the sides of △DEF, if AB=2 cm, BC=3 cm, CA=4 cm, DE=1.5 cm.
Answer:
DF=3.0cm, EF=3cm
Step-by-step explanation:
Given: ΔABC is similar to ΔDEF,
Therefore: [tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]
⇒[tex]\frac{2}{1.5}= \frac{4}{DF}[/tex]
⇒ DF=3.0cm
Now, by the similarity of triangles, we have Ef=3cm.
Answer:
The sides of △DEF are DE = 1.5cm, DF = 3cm, and EF= 2.25 cm.Step-by-step explanation:
We know that
[tex]\triangle ABC \sim \triangle DE\ F[/tex]
[tex]AB=2cm\\BC=3cm\\CA=4cm\\DE=1.5cm[/tex]
Remember that a similarity between two triangles represent a proportional relation between corresponding side. In this case, such proportions are
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
So, we have to find sides DF and EF. Using given values, we have
[tex]\frac{AB}{DE}=\frac{BC}{EF}\\ \frac{2}{1.5}=\frac{3}{EF}\\ EF=\frac{3(1.5)}{2}=2.25[/tex]
Then,
[tex]\frac{AB}{DE}=\frac{AC}{DF}\\\frac{2}{1.5}=\frac{4}{DF}\\ \\DF=\frac{4(1.5)}{2}=3[/tex]
Therefore, the sides of △DEF are DE = 1.5cm, DF = 3cm, and EF= 2.25 cm.
A youth group is planning a trip to a theme park. The bus holds up to 40 people. The cost for bus parking is $60.00. Each person going on the trip will be paying $36.00 for a ticket to enter the park.
The equation that models this trip is T = 36x + 60, where T represents the total cost for the group to take the trip and x equals the number of people going. What values are appropriate for the domain?
A) x = 40
B) x = 60
C) 0≤ x≤ 40
D) 0≤ x≤ 39
Given equation is:
[tex]T=36x+60[/tex]
Where T is the total cost; $36 is the entry fee per person and $60 is the one time bus parking fee.
As given, the bus holds up to 40 people, so let the total number of people be represented by 'x'
The bus holds up to 40 people so 'x' is either less than 40 or equal to 40.
Or this can be written as : [tex]x\leq 40[/tex]
Hence, the domain will lie between 0 and 40.
So option C : 0≤ x≤ 40 is the answer.
Answer:
c
Step-by-step explanation:
Jaime has 6 quarters and some dimes in his pocket . The total value of the coins in 4.50. How many dimes does he have in his pockets
Noah made 12 \text{ kg}12 kg of trail mix for his family's hiking trip. His family ate 8600 \text{ g}8600 g of the trail mix on the hiking trip. How many grams of trail mix did Noah have left?
Answer:
3400 grams.
Step-by-step explanation:
We have been that Noah made 12 kg of trail mix for his family's hiking trip. His family ate 8600 g of the trail mix on the hiking trip.
Let us convert 12 kg into grams.
1 kg= 1000 grams
12 kg = 12*1000 grams =12000 grams.
Let u subtract 8600 from 12000 grams to find the amount of trail mix left.
[tex]\text{The amount of trail mix left}=12000-8600[/tex]
[tex]\text{The amount of trail mix left}=3400[/tex]
Therefore, Noah had 3400 grams left of trail mix.
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer:
Answer:
No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.
Step-by-step explanation:
When Anna starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do.
So, no, the number of sit-ups Anna does, are not proportional to the time she spends doing them. his is because for being proportional, the decreasing or increasing rate should be constant but here, it is not.
Answer:she spends 22 seconds
Felicia has $4.17 in change. After she takes out the quarters, she has $4.42 left. How many quarters did she take out
Final answer:
Felicia took out 1 quarter from her change. The difference in amount between before and after removing the quarters, which is $0.25, indicates that only one quarter was removed as each quarter is worth $0.25.
Explanation:
To determine how many quarters Felicia took out of her total change, we need to calculate the difference between the amount she had initially and the amount she had after removing the quarters.
Initially, Felicia had $4.17. After she removes the quarters, she is left with $4.42. The difference between these two amounts will tell us the total value of the quarters removed.
Subtract the smaller amount from the larger amount: $4.42 - $4.17 = $0.25.
Since each quarter is worth $0.25, we divide the total value of the quarters taken out by the value of one quarter to find the number of quarters.
$0.25 ÷ $0.25 per quarter = 1 quarter.
Therefore, Felicia took out 1 quarter.
In the diagram below, what needs to be labeled in order to prove triangle AHL and triangle EML are congruent by the SSS postulate
Answer:
Final answer is HL = LM.
Step-by-step explanation:
We have been given a diagram having two triangles in which sides AH= EM and AL=EL.
Now we need to find which statement is missing to prove that triangles AHL and EML are congruent using SSS.
SSS means (side - side - side)
Two pair of equal sides are already given so we have completed SS of SSS.
Last "S" means we need one more pair of equal sides so that must be using remaining sides HL and LM
Hence final answer is HL = LM.
In triangles AHL and EML, AH=EM, AL=EL. To prove congruence by SSS, it's concluded that D) HL=LM is required.
In the given problem, the conclusion is established by presenting a diagram containing two triangles, AHL and EML, with specified equal side lengths: AH = EM and AL = EL. The objective is to ascertain the missing statement required to demonstrate the congruence of these triangles through the Side-Side-Side (SSS) criterion.
The SSS criterion asserts that for two triangles to be congruent, the corresponding sides of the triangles must be equal in length. In this context, the sides AH and AL, as well as EM and EL, serve as two pairs of equal sides, satisfying the "SS" criteria of SSS. To complete the SSS congruence condition, it is necessary to establish the equality of the remaining sides, HL and LM.
Consequently, the final answer deduced from the step-by-step explanation is that HL equals LM. This signifies the fulfillment of the Side-Side-Side criterion, ensuring the congruence of triangles AHL and EML. The logical progression of the explanation elucidates the geometric relationships and justifies the conclusion that HL = LM is the missing statement essential for establishing the congruence of the two triangles.
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PLEASE HELP. WILL GIVE BRAINIEST AND 60 POINTS if you show work so I can understand these.
1. Find the slope of the line that passes through the
points (-1, 2), (0, 5).
2. Suppose y varies directly with x, and y = 15 and x = 5.
Write a direct variation equation that relates x and y.
What is the value of y when x = 9?
3. Write an equation in slope-intercept form of the line
that passed through (-3, 4) and (1. 4).
4. Use point-slope form to write the equation of a line
that has a slope of 2/3
and passes through (-3, -1).
Write your final equation in slope-intercept form.
5. Write the equation in standard form using integers
(no fractions or decimals): = −2/3 − 1
6. Write an equation of the line that passes through
(2, -1) and is parallel to the graph of y = 5x – 2. Write
your final equation in slope-intercept form.
7. Write an equation of
Answer:
In #1, the slope of the line is 3
Step-by-step explanation:
To find the slope of any line, you need to use the points in the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - 2)/(0 - -1)
m = 3/1
m = 3
This means the slope is equal to 3.
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y4=11 ?
1. Neither ordered pair is a solution.
2. (3, −8) is a solution to the equation but not (4, 4) .
3. Both ordered pairs are solutions.
4. (4, 4) is a solution to the equation but not (3, −8) .
Answer:
1. Neither pair is a solution
Step-by-step explanation:
3*3=9 -18*4=-32 9(-)-32=41 not eleven
4*3=12 4*4=16 12-16=-4 not eleven
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
The graph of a polynomial function of degree 5 has three x-intercepts, all with multiplicity 1. Describe the nature and number of all its zeros.
Answer: C
Step-by-step explanation:
Degree of 5 means there are 5 roots.
If 3 roots are real, then there are 2 remaining - which must be imaginary.
Answer:
The answer is C.
Step-by-step explanation:
Recall that as consequence of the Fundamental Theorem of Algebra, a polynomial of n-th degree has n complex roots (some roots, or all of them, can be real).
Now, as we have a polynomial of degree 5, it has 5 roots. From the statement we know that its graph has three intercepts with the X-axis, which is equivalent to the existence, at least, of three real roots. Moreover, we know that the multiplicity of each root is one. Then, we have exactly three real roots.
The above deduction means that there are other two roots, and those must be complex.
The guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time. How many minutes do you have exactly to cross the yard without being noticed?
Answer:
8 minutes.
Step-by-step explanation:
We have been given that the guards change over between 10:16 pm and 10:25 pm which means the hallway is clear during that time.
We can see that the very first minute to cross the hallway without being noticed will be after 10:16 pm as guards start change over at 10:16 pm.
The very last minute to cross the hallway without being noticed will be before 10:25 pm as guards end change over at 10:25 pm.
So let us count number of minutes between 10:16 pm to 10:25 pm without including 10:16 pm and 10:25 pm.
So these minutes will be: 10:17 pm, 10:18 pm, 10:19 pm, 10:20 pm, 10:21 pm, 10:22 pm, 10:23 pm, 10:24 pm.
Since given time interval includes 8 minutes, therefore, we have only 8 minutes to cross the yard without being noticed.
The person have only [tex]\boxed{{\mathbf{8 minutes}}}[/tex] to cross the yard without being noticed.
Further explanation:
It is given that the guards change over between [tex]10:16{\text{ pm}}[/tex] and [tex]10:25{\text{ pm}}[/tex] that means hallway is clear on that time.
The person can cross the halfway in the absence of the guard when the guards change over.
The person can cross the hallway after [tex]10:16{\text{ pm}}[/tex] without being noticed therefore, it is the very first minute to cross the hallway.
The person can cross the hallway before [tex]10:25{\text{ pm}}[/tex] without being noticed therefore, it is the very last minute to cross the hallway.
Now count the timings in which the person can cross hallway without being noticed.
[tex]\begin{aligned}10:17{\text{ pm,}}10:18{\text{ pm}},10:19{\text{ pm}},10:20{\text{ pm,}} \hfill \\10:21{\text{ pm, }}10:22{\text{ pm,}}10:23{\text{ pm, }}10:24{\text{ pm}} \hfill\\{\text{ }}\hfill\\\end{aligned}[/tex]
Therefore, it can seen from the above timings that the time interval is 8 minutes in which the person can cross hallway as the hallway is clear.
Thus, the person have only [tex]8{\text{ minutes}}[/tex] to cross the yard without being noticed.
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Grade: Junior school
Subject: Mathematics
Chapter: Time.
Keywords: Time, minutes, hallway, cross, noticed, without being, person, time interval, clear on the time, seconds, yard, distance, change over, absence.
Solve: log2(x-4) = 4 A) 4 B) 8 C) 12 D) 20
Answer:
D
Step-by-step explanation:
using the rule of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
[tex]log_{2}[/tex](x - 4) = 4
⇒ x - 4 = [tex]2^{4}[/tex] = 16 ( add 4 to both sides )
x = 20 → D
Answer:
D) 20
Step-by-step explanation:
Which sequence is the best financial approach?
A.) save for an emergency, pay off debts, save for retirement
B.) save for retirement, pay off debts, save for an emergency
C.) pay off debts, save for an emergency, save for retirement
D.) save for an emergency, save for retirement, pay off debts
Answer:
Option C is correct.
Best financial approach: pay off debts, save for an emergency, save for retirement.
Step-by-step explanation:
It is better to pay off the debts and then the rest of the money must be kept safe for the emergency because it is not necessary that you will have an emergency condition, it can take place or cannot take place. Then, when these two criteria are full filled then the rest of the money should be kept for the retirement.
Therefore, for the best financial approach :
[tex]\text{pay off debt} \rightarrow \text{save for an emergency} \rightarrow \text{save for retirement}[/tex]
Calculate s50 for the arithmetic sequence defined by
Answer the correct choice is d 617.5
The math club is holding a fundraiser by selling pies. If they sell each pie for $12, how many pies do they need to sell if they want to make at least $500? Define a variable, then write and solve an inequality to represent this situation. SHOW YOUR WORK!
Final answer:
The math club must sell at least 42 pies to meet their fundraising goal of $500, as they're selling each pie for $12.
Explanation:
To determine how many pies the math club needs to sell to raise at least $500, we can define a variable and create an inequality. Let's define the variable x to represent the number of pies sold. Since each pie is sold for $12, the inequality will be:
12x ≥ 500.
To solve for x, we divide both sides of the inequality by 12:
x ≥ 500 / 12,
x ≥ 41.67.
Since the math club cannot sell a fraction of a pie, they must sell at least 42 pies to meet their fundraising goal of at least $500.
Kwanzaa is an African American holiday celebrated December 26th through January 1st. The colors of Kwanzaa are red,green,and black, and the holiday has seven symbolic elements. Two of these elements are the mishumaa saba (the seven candles) and the kinara (the candle holder). Traditionally, the mishumaa saba are arranged in the kinara as shown, three identical red candles on the left, three identical green candles on the right and a black candle in the center. If, however, the candles could be arranged in any order, in how many different ways could the seven candles be arranged in the kinara?
Answer:
Step-by-step explanation:
Another very interesting problem
If the candles were all of a different color, then the first candle (randomly chosen) would be 7. The second candle would be any one of 6. Third would be any one of the remaining 5, then 4 then 3 then 2 then 1
The abbreviated way of writing that is 7! which means that the number of different ways would be
7*6*5*4 *3*2*1
However this problem is not that simple The complexity comes from the fact that there are colors that are duplicated.
That event is handled by dividing 7! /by 3! and another 3!
The result is 140
3! = 3*2*1 = 6
So you would take 7! and divide by 6*6
5040/36 = 140
This problem is much more difficult than any of the others.
There are 9 different ways the seven candles can be arranged in the kinara.
Explanation:The given problem is asking for the number of different ways that the seven candles can be arranged in the kinara for the celebration of Kwanzaa. Since there are seven candles, we can solve this problem by finding the number of permutations of seven objects. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we are arranging.
First, we calculate the number of ways to arrange the red candles. Since there are three identical red candles, this can be represented as 3P3 = 3! / (3 - 3)! = 3! / 0! = 3! / 1 = 3.Next, we calculate the number of ways to arrange the green candles. Similar to the red candles, this can be represented as 3P3 = 3! / (3 - 3)! = 3! / 0! = 3! / 1 = 3.Finally, we calculate the number of ways to arrange the black candle. Since there is only one black candle, there is only 1P1 = 1! / (1 - 1)! = 1! / 0! = 1! / 1 = 1.To find the total number of arrangements, we multiply the number of ways to arrange each set of candles together. Therefore, the total number of different ways the seven candles can be arranged in the kinara is 3 * 3 * 1 = 9.
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Anfernee bought 4 umbrellas and 2 hats and spent between 40 to 60 dollars. Each hat cost the same amount. The price of a hat is 8 dollars. What is the least amount Anfernee could have spent on an umbrella and what is the most?
Answer:
Cheapest = $6
Most expensive = $11
Step-by-step explanation:
First we need to make an equation:
4u + 2h = 40 < x < 60
u is umbrellas and h is hats,
If a hat is 8, then this can be:
4u + 2(8) = 40 < x < 60
4u + 16 = 40 < x < 60
4u = 40 - 16
4u = 24
u = 6
So the cheapest an umbrella can be is $6.
The most expensive is:
4u = 60 - 16
4u = 44
u = 11
So the most expensive is $11
Which inequality corresponds with the graph?
A) x > -2
B) x < -2
C) x ≤ -2
D) x ≥ -2
Answer:
D
Step-by-step explanation:
An inequality is an expression which means more than one number is a solution. We graph the solutions on a number line to show all possible values. We graph using circles and arrows.
Equal to and less/greater than are graphed with filled in circles on the value.Only less/greater than (not equal to) are graphed with open (not filled in) circles on the value.We draw an arrow the direction the solutions satisfy the inequality. Generally this is the direction the inequality itself points.This is a filled in circle on -2 so this is [tex]\leq or \geq[/tex]. This means only answers C and D are options.
Answer D points to the right.