6(20+4) is the equivalent to 6(24) using the distributive property.
How to find an expression equivalent to 6(24) using the distributive property?The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms. This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
In other words, an expression of the type
A (B + C) can be resolved as A (B + C) = AB + AC in accordance with the distributive property.
This characteristic also holds for subtraction.
A(B-C) = AB-AC
given that 6(24)
now compare the 6(24) with general form of distribution property a(b+c) = ab + ac
a = 6 and b+c = 24
Consequently, we must identify two integers the sum is 24.
These numbers 20 and 4 are suitable.
so,
6(20+4) = 6(20) + 6(4)
144 = 144
Hence, the 6(20+4) is the equivalent to 6(24) using the distributive property.
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1, .25 blank , -1.25, blank complete each arithmetic sequence
The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
How to complete the arithmetic sequence?The arithmetic sequence is given as:
1, .25, blank, -1.25, blank
Replace the blanks in the arithmetic sequence with x and y
So, we have:
1, .25, x, -1.25, y
An arithmetic sequence has a common difference (d)
The common difference is calculated using
d = T2 - T1
So, we have
d = 0.25 - 1
d = x - 0.25
d = y + 1.25
Substitute d = x - 0.25 in d = 0.25 - 1
x - 0.25 = 0.25 - 1
This gives
x = 0.25 + 0.25 - 1
Evaluate the sum
x = -0.5
Substitute d = 0.25 - 1 in d = y + 1.25
0.25 - 1 = y + 1.25
This gives
y = 0.25 - 1 - 1.25
Evaluate
y = -2
Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
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Help please I will give brainliest
Answer:
Option #1, #4 & #5
Step-by-step explanation:
It's rise over run which is y-axis/intercept (up and down) over x-axis/intercept (left or right).
Hope this helps.
differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are .
The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element.Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.Now,
It can be presumed that the test mentioned is the t-test since it uses two samples. A t-t-value, test's which it generates, is what determines its statistical significance. The likelihood that a difference is statistically significant increases with increasing t-value. By dividing the mean difference between two samples by the square root of the sum of the variances of each sample, then by the size of each sample, one may determine the t-value.The likelihood that the difference between two means is statistically significant therefore increases if:a significant mean difference;the samples are substantial;The samples' standard deviations are lower.Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.
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Find the coordinates of Q if R(6,-1) is the midpoint of QS, and S has coordinates (12, 4).
The coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
Let the coordiantes of point Q be (x, y).
According to the given question.
R is the midpoint of QS.
The coordinates of point R is (6, -1).
And the coordinates of point S is (12, 4).
Thereofore, the coordiantes of point Q is given by
(6, -1) = ( (x + 12)/2, (y + 4)/2 )
⇒ x + 12/2 = 6 and y + 4/2 = -1
⇒ x + 12 = 12 and y + 4 = -2
⇒ x = 0 and y = -6
Hence, the coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
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find a vector a with representation given by the directed line segment ab−→−, where a(−6,0,1) and b(1,6,−2) .
vector representation of the given vectors will be AB(5,6,-3).
What is vector, explain by giving example?A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
The vector representation will be -
A(x1,x2,x3), B(x1,x2,x3) so, AB will be - (x2 - x1, y2 - y1, z2 - z1)
So, given,
A(−6,0,1)
B(1,6,−2)
AB(1+6, 6-0, -2-1)
AB (5,6,-3)
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10. Jordan wants to buy a pair of shoes that cost $150.99. The
shoes are 35% off, what will be the price of the shoes after the
discount?
Answer:
$98.14
Step-by-step explanation:
150.99 x 0.35. Subtract answer from total to get final price.
Assessment
42. Marco goes on a recreational scuba diving
expedition. What is a possible diving depth for
his expedition?
A0 meters
B40 meters
400 meters
D-40 meters
What is the slope of the line?
Answer: The answer is A) - 9/5, because the slope of the line is decreasing/going downward indicating that the slope is negative. The slope of the line is steep, and so the rise should be more the run.
Step-by-step explanation: hope this helps!!!!!!
Complete the following proof.
Given: y+2 /3=3
Prove: y=7
Proof:
b. Statement: 3(y+2 / 3)=3(3) Reason: ____________
Using the multiplication and the subtraction property, we can prove that the value of y in the equation given is: 7. (see proof below).
How to Solve an Equation?Given the equation, y + 2/3 = 3, to prove that y = 7, we have to solve the given equation in other to find the value of y which must be equal to 7.
(y + 2)/3 = 3 [given]
3 × (y + 2)/3 = 3 × 3 [multiplication property of equality]
y + 2 = 9
y + 2 - 2 = 9 - 2 [subtraction property of equality]
y = 7
Thus, using the multiplication and the subtraction property, we can prove that the value of y in the equation given is: 7.
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when bonding teeth, orthodontists must maintain a dry field. a new bonding adhesive has been developed to eliminate the necessity of a dry field. however, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. tests on a sample of extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of mpa and a standard deviation of s mpa. orthodontists want to know if the true mean breaking strength is less than mpa, the mean breaking strength of the
When we compare the p-value and the significance level is given [tex]\alpha=0.01[/tex], we can see that [tex]p_v < \alpha[/tex], so we can conclude that we have enough evidence to reject the null hypothesis, which is less than 5.7 Mpa at 1% significance.
Given:
[tex]\bar{X}=5.07[/tex] display the sample means = 0.46 represent the standard deviation of the samplen = 10 size of the sample[tex]\mu_o=5.7[/tex] represent the value under consideration[tex]\alpha=0.01[/tex] represent the hypothesis test's significance levelThe statistic would be represented by t. (variable of interest)[tex]p_v[/tex] represent the test's p-value (variable of interest)Identify the null and alternative hypotheses.
We need to test a hypothesis to see if the true mean is less than 5.7 Mpa; the hypothesis system would be:
Null hypothesis: [tex]\mu \geq 5.7[/tex]Alternative hypothesis: [tex]\mu < 5.7[/tex]If the sample size is 30 and we don't know the population deviation, we should use a t-test to compare the actual mean to the reference value, and the statistic is given by:
[tex]t=\frac{X-\mu_0}{\frac{s}{\sqrt{n}}}[/tex] ......(1)The t-test: "Is one of the most common tests for determining whether the mean is (higher, lower, or not equal) to a specified value."
Determine the statistic
We can substitute the following information in formula (1):
[tex]t=\frac{5.07-5.7}{\frac{11.40}{\sqrt{30}}}=-4.33[/tex]P-value:
The first step is to compute the degrees of freedom, which in this case are:
[tex]d f=n-1=10-1=9[/tex]Because this is a one-sided lower-tailed test, the p-value would be:
[tex]p_v=P\left(t_{(9)} < -4.33\right)=0.00095[/tex]Therefore, when we compare the p-value and the significance level given [tex]\alpha=0.01[/tex], we can see that [tex]p_v < \alpha[/tex], so we can conclude that we have enough evidence to reject the null hypothesis, which is less than 5.7 Mpa at 1% significance.
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The complete question is given below:
When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive (called "Smartbond") has been developed to eliminate the necessity of a dry field. However, there is concern that the new bonding adhesive is not as strong as the current standard, a composite adhesive. ( Trends in Biomaterials & Artificial Organs, Jan. 2003.) Tests on a sample of 10 extracted teeth bonded with the new adhesive resulted in a mean breaking strength (after 24 hours) of x = 5.07 Mpa and a standard deviation of s = 0.46 Mpa, where Mpa = megapascal, a measure of force per unit area. Orthodontists want to know if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, the mean breaking strength of the composite adhesive. Conduct the appropriate analysis for the orthodontists. Use alpha= 0.01. What is the p-value?
DOGS On average, a male bulldog weighs 15 pounds less than a male
golden retriever. If the average male bulldog weighs 50 pounds, write
and solve an equation to find the average weight of a male golden
retriever.
A. 50= w-15; 65 pounds
B. 50=w+15; 35 pounds
C. 50= w-15; 35 pounds
D. 50=15-w; 65 pounds
Drag each label to the correct location on the image.
Find the sum of each pair of rational numbers. plelz help
The addition of the given fractions are;
1) -3³/₅ + -1¹/₅
= -4⁴/₅
2) (-3.5) + (-4)
= -7.5
3) 4.5 + (-3)
= 1.5
4) -5³/₅ + 3¹/₅
= - 2²/₅
How to add fractions?
1) We want to add the fractions as follows;
-3³/₅ + -1¹/₅
= -3³/₅ - 1¹/₅
= -18/5 - 6/5
= -24/5
= -4⁴/₅
2) (-3.5) + (-4)
= -3.5 - 4
= -7.5
3) 4.5 + (-3)
= 4.5 - 3
= 1.5
4) -5³/₅ + 3¹/₅
= -28/5 + 16/5
= - 2²/₅
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what is the approximate side length of a square game board with an area of 162 in^2?
Answer:
area is side multiplied by side
Step-by-step explanation:
162 divided by 2x
Dylan is making a party favorites for his dylan is making party favors for his birthday party he has 32 pencils and 56 lollipops and he must use all the pencils and lollipops for his birthday favorites if dylan creates the greatest number of identical packages possible how many parties favors can he make how many pencils and lollipops are there in each party package
He can make 8 party package and each package consists 4 pencils and 7 lollipops with 32 pencils and 56 lollipops .
To determine the greatest number of identical packages possible we have to determine the highest common factor of two given no. , 32 and 56
Let's determine the factors of the 32 and 56 ,
32 = 2 × 16 = 2 × 2 × 2 × 2 × 2
56 = 2 × 2 × 2 × 7
So , common factors are 2 , 2 ,2
Now , The HCF is , 2 × 2 × 2 = 8
So , total combination is 8 and in each combination , there is 4 pencils ( 32 / 8 = 4 )and 7 ( 56/8 = 7 ) lollipops .
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Solve the system by substitution or elimination
y= 2x + 8
y= 3x - 1
Answer: x=9, y=26 (9,26)
Determine the solutions of the equation:
Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21.
x = −11 and x = 5
x = −81 and x = 45
x = −99 and x = 45. <<<< THIS IS IT
x = −99 and x = 99
PLEASE HELP!!!
The solutions to the absolute value equation given by the word phrase; Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21 are; x = −99 and x = 45.
What are the solutions of the absolute value equation as given in the task content?It follows from the task content that the solutions to the absolute value equations as given by the word phrase are to be determined.
Given;
| (1/3)x + 9 | - 3 = 21
Add 3 to both sides;
| (1/3)x + 9 | = 24
Hence, the result equations are; (1/3)x + 9 = 24 OR (1/3)x + 9 = -24.
Therefore, we have;
(1/3)x + 9 = 24
(1/3)x = 24 - 9
(1/3)x = 15
x = 45.
Also, considering the other equation;
(1/3)x + 9 = -24
Subtract 3 from both sides;
(1/3)x = -33
Multiply both sides by 3;
x = -99.
Ultimately, the solutions of the equation are;
x = −99 and x = 45.
Therefore, the solutions to the absolute value equation given by the word phrase; Absolute value of the quantity one third times x plus 9 end quantity minus 3 equals 21 are; x = −99 and x = 45.
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payton wants to buy kiwi and cherries to make a fruit tart. Kiwi cost $2.25 per pound and cherries cost $4.25 per pound. How many pounds of fruit does she buy if she buys 3 pounds of kiwi and 1.5 pounds of cherries? How many pounds of fruit does she buy if she buys xx pounds of kiwi and yy pounds of cherries?
If Payton buys 3 pounds of Kiwi and 1.5 pounds of cherries, then the pounds of fruit Payton bought at 4.5 pounds.
If Payton buys x pounds of Kiwi and y pounds of cherries, the number of pounds of fruit purchased is x + y.
How much fruit did Payton buy?Payton bought 3 pounds of kiwi and 1.5 pounds of cherries. The total fruits bought is therefore:
= 3 + 1.5
= 4.5 pounds of fruit
If Payton bought x pounds of kiwi and y pounds of cherries, again the total pounds purchased is:
= x + y
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Type the correct answer In each box. Spell all words correctly, and use numerals Instead of words for numbers. If necessary, use / for the
fraction bar(s).
IS What is the mean of the given distribution, and which type of skew does it exhibit?
(4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}
The mean of the distribution Is
and it exhibits a
skew.
The solution is Mean = 3.25 for the given distribution's mean and its type of skew.
What in mathematics is Mean?A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list. Add up each value in the set to determine the mean. Next, divide the total by the number of values.
based on the facts provided;
Step 1: Presented data:
4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2
Step 2:
Sum of the numbers
= 4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2
= 52
Sum of the numbers = 52
Number of terms = 16
Step 3:
Mean=sum of the number/number of term
=52/16
= 3.25
Mean = 3.25
Mean of the distribution is 3.25.
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Liz is taking guitar lessons and practises every night. Yesterday, she played a total of 40 chords in 8 minutes. Today, she will play chords for 5 minutes.
If she plays at the same rate, how many chords will Liz play today?
Answer:
25Step-by-step explanation:
number of cords played in 8 minutes= 40number of cords played in 1 minute= 40/8= 5so , the number of cords played in 5 minutes will be = 5 × 5 = 25 chordshope it helps you
If you are shopping online, why is it a good idea to pay by credit card?
Answer: Credit cards are safer to carry than cash and offer stronger fraud protections than debit.
could 10 to the 0 power =10 ? to show wether it upholds the prpety xm time xn = xm+n
Answer:
11
Step-by-step explanation:
Answer:
no. 10^0=
Step-by-step explanation:
What is the value of x if e squared 3x+6=8
Step-by-step explanation:
there is explanation in the answer
Marcy has a picture frame that is 18 by 24 inches. If she has another frame congruent to the first one, and
one of its sides is 24 inches long, determine the length of the other side.
Answer:
18
Step-by-step explanation:
Congruent means same size and shape
So if the first one was 18 by 24 and you are given another that is congruent to it and given one side which is 24 so the other has to be 18.
4. Which of the following is true based on the congruence statement triangle △SUN≈ △FOG
Based on the congruence statement triangle △SUN ≈ △FOG, the true statement is SU is Congruent to side FO.
Congruence of the triangle:
Two triangles are said to be congruent if one can be placed over the other so that they coincide (fit together). This means that congruent triangles are exact copies of each other and when fitted together the sides and angles which coincide, called corresponding sides and angles, are equal.
For example,
△ABC ≈ △DEF
then,
Side AB corresponds to DE,BC corresponds to EF , and AC corresponds to DF .
Given,
The congruence statement triangle
△SUN ≈ △FOG
Based on the congruence of the triangle rule,
Here the option
SU is Congruent to side FO.
is the correct option.
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Which ratios are equivalent to 8:12
Answer:
Step-by-step explanation:
2:3
Answer:
2:3.
Step-by-step explanation:
If you turn 8:12 into a fraction (8/12), then make it simplest form, it would be 2/3.
2/3 as a ratio is 2:3. Therefore, 2:3 is equivalent to 8:12.
you are leaving for a concert that starts in 5 hours and is 305 miles from your house. what average speed (in miles per hour) would allow you to arrive at the concert on time? miles per hour school starts in 37 minutes and you live 17 miles from school. what average speed (in miles per hour) would allow you to arrive at school on time? miles per hour
The average speed required to reach the concert in time is 61 miles per hour.
The average speed required to reach school in time is 27.567 miles per hour.
What is the average speed?
The average speed of an object is defined as the total distance travelled by an object in a particular interval of time or average time. Mathematically, average speed = total distance / total time taken. Its SI unit is m/s.
Calculation of the average speed
We are given that a concert starts in 5 hours and is 305 miles away from the house, i.e. time = 5 hours and distance 305 miles
Then the average speed in miles per hour is given by total distance / total time
Average speed = 305 / 5
= 61 miles per hour
Further, the time taken to reach school is 37 minutes which when converted to hours becomes 37 / 60 hour
The distance between school and home is 17 miles
So, the average speed = total distance / total time
= 17 / (37 / 60)
= (17 × 60) / 37
= 27.567 miles per hour
Hence, the average speed required to reach the concert in time is 61 miles per hour.
The average speed required to reach school in time is 27.567 miles per hour.
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Sarah bought a drink for $4 and bought 8 candy bars. She spent a total of 44 dollars. How much did each candy bar cost?
Answer:here is ur answer
4+8x=20 8x=20-4 8x=16 x=$2.00 for a candy bar
Step-by-step explanation: i really hope this helps pls lmk if i am wrong have a good day/night (: <3
Answer:
One per candy bar: 5$
8 candy bars: 40$
Step-by-step explanation:
Take four dollars away from the drink and you end up with 40$. And, then you'll go and divide 40 divided by 8 equals 5. So, per 1 candy bar is 5$.
simplify
-3m+7-2n+3-m+3m
f. 4mn + 10
g -4m + n + 10
h -4m - n + 10
j -40mn
The simplified form of the expression is -m-2n+10
Simplifying linear equationLinear equation are equation that has a linear degree of 1. Given the following expression
-3m+7-2n+3-m+3m
Collect the like terms
-3m+3m-m-2n+7+3
-m - 2n + 7 + 3
Simplify to finally have:
-m-2n+10
Hence the simplified form of the expression is -m-2n+10
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O is between M and P, MO= x^2-3, OP=4x-1 and MP= 8x+1. Find length of each story segment.
MO=
OP=
MP=
MO=4-3=1
OP=8-1=7
MP=16+1=17
Given:
MO= [tex]x^2-3,[/tex]
OP=[tex]4x-1[/tex]
MP= 8x+1
O is the midpoint of MP so
MO=OP
[tex]x^2-3[/tex]=[tex]4x-1[/tex]
[tex]x^2-4x-4=0[/tex]
[tex]X^2-2x-2x-4=0\\x(x-2)-2(x-2)\\(x-2)(x-2)\\x=2[/tex]
MO=4-3=1
OP=8-1=7
MP=16+1=17
A line segment's midpoint is a point that is halfway between two points. The midpoint is the same distance between the two ends.
This calculator can be used to find the midpoint, the distance between two points, or an endpoint given the midpoint and the other endpoint. Solutions for Midpoint and Endpoint Calculators
Enter two points in the form of numbers, fractions, mixed numbers, or decimals. The midpoint calculator displays the work to be done:
midpoint of two given points
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25 points plus brainliest
Answer:
3
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -1/3 is 3