Answer:
11/3
Step-by-step explanation:
Simplify -2 ^3. -------------------------------------------
Answer:
-8
Step-by-step explanation:
-2^3
-8
Answer: -8
Answer: -8
Step-by-step explanation:
-2x-2x-2=-8
If the difference between the 7th and 9th terms
of an arithmetic sequence is 25. Find the
Common difference.
The common difference is [tex]d=-\frac{25}{2}[/tex]
Explanation:
The difference between the 7th and 9th terms of an arithmetic sequence is 25
Since, we know the general form of an AP is [tex]a_{n}=a_{1}+(n-1) d[/tex]
For [tex]n=7[/tex], we have,
[tex]a_{7}=a_{1}+(7-1) d[/tex]
[tex]a_{7}=a_{1}+6 d[/tex] ---------(1)
For [tex]n=9[/tex], we have,
[tex]a_{9}=a_{1}+(9-1) d[/tex]
[tex]a_{9}=a_{1}+8 d[/tex] ----------(2)
Subtracting (1) and (2), we get,
[tex]a_7-a_9=6d-8d[/tex]
Since, it is given that the difference between 7th and 9th term is 25.
Hence, we have,
[tex]25=-2d[/tex]
Dividing both sides by -2, we have,
[tex]d=-\frac{25}{2}[/tex]
Hence, the common difference is [tex]d=-\frac{25}{2}[/tex]
Evaluate each expression if x = 5
8x
—-
2
Answer:
I think you should divide 40 by 2 and get 20
Step-by-step explanation:
If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is NOT significant, then the populations of blue-eyed people and brown-eyed people are ________ different salaries.
unlikely to have
very likely to have
guaranteed to have
guaranteed to not have
Answer:
Unlikely to have.
Step-by-step explanation:
The populations of blue-eyed people and brown-eyed people are unlikely to have different salaries.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Therefore, The populations of blue-eyed people and brown-eyed people are unlikely to have different salaries.
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What is this answer help pls
Answer:
4 * (3 + 2 ) - 6 ÷ 1 = 14
*, +, -, ÷
Step-by-step explanation:
Remember PEMDAS:
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
So, (3 +2) = 5
5 * 4 = 20
20 ÷ 1 = 20
20 - 6 = 14
Hope I helped! C:
fifteen out of the 60 eighth-graders at sebring junior high are on the track team. what percent of the eight-graders are on the track team?
Answer:
25%
Step-by-step explanation:
You have 60 total, 30 on the track team would be 50%, but there is only 15 on the track them, you cut the 50% in half again which gives 25%.
What is 11/15= 8/15-w
Answer: w= 1/5
Step-by-step explanation:
11/15=8/15 -w
-W= 8/15 -11/15
-w= 8-11/15 =-3/15
-w=-3/15
w=3/15= 1/5
A six-sided die is rolled. What is the probability that the number rolled will be an even number or a 6?
Answer:
1/2
Step-by-step explanation:
A six sided die has 1, 2, 3, 4, 5, 6. Out of those numbers, 3 of those are even numbers. Meaning you have a 3/6 chance. This 3/6 can be reduced to 1/2.
.Jenny is wrapping a present for her friend's birthday party. The box is 4 in. by 5 in. by 7 in. How much wrapping paper will Jenny need to wrap the present? Enter your answer in the box.
Jenny need 166 square inches of wrapping paper to wrap the present.
Solution:
Length of the box = 4 in
Breadth of the box = 5 in
Height of the box = 7 in
Surface area of the box = 2(lb + bh + lh)
= 2( 4 × 5 + 5 × 7 + 4 × 7)
= 2(20 + 35 + 28)
= 2(83)
Surface area of the box = 166 in²
Hence Jenny need 166 square inches of wrapping paper to wrap the present.
Answer:
166
Step-by-step explanation:
What is the the equation??
What hole do I put it in
@jeff4967
Can you please add a picture
The diagram shows the position of two towns, Alton and Barking.
The bearing of Barking from Alton is bº.
The bearing of Alton from Barking is 6bº.
No
Calculate the 3-figure bearing of Alton from Barking.
Answer:
216°
Step-by-step explanation:
The difference between the bearing from B to A and the bearing from A to B is 180°. Here, the difference between the two bearings is ...
6b -b = 180°
b = 180°/5 = 36°
6b = 6·36° = 216°
The bearing of Alton from Barking is 216°.
A(3,4),B(5,8),C(7,8) are the vertices of ABC, prove that the line passing through the mid point of AB and AC is parallel to BC
[tex]The \ midpoint \ formula \ of \ the \ line \ segment \\ that \ joins \ the \ two \ points \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ is \\ given \ by \ the \ following \ Midpoint \ Formula:\\ \\ Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
Let's name the mid point of [tex]AB[/tex] as [tex]c[/tex]Let's name the mid point of [tex]AC[/tex] as [tex]p[/tex]Then:
[tex]c=(\frac{3+5}{2},\frac{4+8}{2}) \\ \\ c=(\frac{8}{2},\frac{12}{2}) \\ \\ c=(4,6) \\ \\ \\ p=(\frac{3+7}{2},\frac{4+8}{2}) \\ \\ p=(\frac{10}{2},\frac{12}{2}) \\ \\ p=(5,6)[/tex]
So the slope of the line that passes through [tex]c \ and \ p[/tex] is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m_{cp}=\frac{6-6}{5-4}=0[/tex]
And the slope for BC is:
[tex]m_{BC}=\frac{8-8}{7-5}=0[/tex]
As you can see, both slopes are zero, so these are horizontal lines.
Write a linear equation in Slope-Intercept Form for a line that goes through the
points (-4, -1) and (-2,-5). *
Answer:
-2x-9=y
Step-by-step explanation:
Which value of x would make Line segment F G is parallel to line segment B C?
Answer:
x = 9
Step-by-step explanation:
Consider the below figure attached with his question.
In the below figure [tex]FA=x+1, FB=x+6, GA=x-1\text{ and }GC=x+3[/tex].
According to Basic Proportionality Theorem (BPT), if a line is parallel to one side of a triangle, then it divides the two remaining sides in the same ratio.
Using BPT theorem,
[tex]\dfrac{FA}{FB}=\dfrac{GA}{GC}[/tex]
[tex]\dfrac{x+1}{x+6}=\dfrac{x-1}{x+3}[/tex]
On cross multiplication we get
[tex](x+1)(x+3)=(x-1)(x+6)[/tex]
[tex]x^2+3x+x+3=x^2+6x-x-6[/tex]
[tex]4x+3=5x-6[/tex]
[tex]4x-5x=-6-3[/tex]
[tex]-x=-9[/tex]
[tex]x=9[/tex]
Hence, FG║BC if the value of x is 9.
Answer:
option 4, X=9
Step-by-step explanation:
Tanner calculates the volume of a rectangular prism with dimensions Three-fourths ft by 5 ft by One-half ft. His work is shown below. V = l w h. V = Three-fourths (StartFraction 5 Over 1 EndFraction) (one-half) = StartFraction 3 (5) (1) Over (4) (1) (2) EndFraction = StartFraction 15 Over 6 EndFraction = 2 and one-half. What error did Tanner make? He multiplied the numerators incorrectly. He multiplied the denominators incorrectly. He simplified StartFraction 15 Over 6 EndFraction incorrectly. He wrote 5 as a fraction incorrectly.
Answer:
He multiplied the denominators incorrectly
Step-by-step explanation:
we know that
The volume of a rectangular prism is given by the formula
[tex]V=LWH[/tex]
we have
[tex]L=\frac{3}{4}\ ft\\\\W=\frac{5}{1}\ ft\\\\H=\frac{1}{2}\ ft[/tex]
substitute
[tex]V=(\frac{3}{4})(\frac{5}{1})(\frac{1}{2})=\frac{3*5*1}{4*1*2}=\frac{15}{8}\ ft^3[/tex]
therefore
He multiplied the denominators incorrectly
Answer:
B. He multiplied the denominators incorrectly.
Step-by-step explanation:
I did the test myself. Good luck with the rest of your test! Have a great day/night! <3
There are 50 tooth picks in each box jamie buys 4 boxs for her party platter how many toothpicks does jaime
Jamie has 200 tooth picks for her party platter.
Step-by-step explanation:
1 box = 50 tooth picksTotal number of tooth picks in 4 boxes = 4[tex]\times[/tex]50 = 200 tooth picks.Therefore, Jamie has 200 tooth picks for her party platter.
How much would $200 invested at 5% interest compounded monthly be
worth after 9 years? Round your answer to the nearest cent.
A(t) = P(1+(r/n))^(nt)
Answer:
A = $200(1 + .05/12)¹⁰⁸ = $313.37
Which is the simplified form of the expression (6-2.657-3?
Answer: 0.343
Step-by-step explanation:
6-2.657=3.343 subtract 3 you get 0.343
Calaculate the value of each expression by writing the decimal factor then writing their products as a decimal
Answer: I need to see it to help ya.
Step-by-step explanation:
What is 3/8 rounded to the nearest 100
Answer: 0.38
Step-by-step explanation:
Divide 3 by 8 = 0.375
To round 0.375 to the nearest hundredth means to round the numbers so there are only two digits in the fractional part. it is pertinent to know that the fractional part is 375, since the value at the end is not less than 5, the number turns 1 and we add it to the number before it.
0.375 to the nearest hundredth is 0.38.
I hope this helps.
Quinn has 6 bottles of water that each weigh 3/5 pound. What is the total weight of the water bottles? Use the number line to help
Answer:
The weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]
Step-by-step explanation:
Given:
Total number of bottles = 6
Weight of each bottle = [tex]\frac{3}{5}[/tex] pound
To find the total weight of 6 bottles.
Solution:
We can plot the number line for six bottles.
We can the plot the weights in another number line.
Each unit represents [tex]\frac{3}{5}[/tex] pound of weight.
As the number of bottles increase the number of pounds of weight increase by [tex]\frac{3}{5}[/tex] .
Thus, weight of 6 bottles = [tex]\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}+\frac{3}{5}[/tex] [tex]=\frac{18}{5}[/tex] pounds
Converting fraction to mixed number.
[tex]\frac{18}{5}=3\frac{3}{5}[/tex] pounds
Or in decimals [tex]\frac{18}{5}=3.6\ pounds[/tex]
Thus weight of 6 bottles = [tex]3\frac{3}{5}\ pounds[/tex] or [tex]3.6\ pounds[/tex]
What is the solution set of inequality 5-|x+4|<=-3
Answer:
[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]
Step-by-step explanation:
The given absolute value inequality is:
[tex]5 - |x + 4| \leqslant - 3[/tex]
Let us subtract 5 from both sides to get:
[tex] - |x + 4| \leqslant - 3 - 5[/tex]
We simplify to get:
[tex] - |x + 4| \leqslant - 8[/tex]
We divide through by -1 to get:
[tex]|x + 4| \geqslant 8[/tex]
By the definition of absolute value function,
[tex](x + 4) \geqslant 8 \: or \: - (x + 4) \geqslant 8[/tex]
Divide through the second inequality by -1 and reverse the inequality sign.
[tex](x + 4) \geqslant 8 \: or \: (x + 4) \leqslant - 8[/tex]
Subtract 4 from both sides of both inequalities.
[tex]x \geqslant 8 - 4 \: or \: x \leqslant - 8 - 4[/tex]
[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]
Which of the following represents a horizontal line that passes through the point (2,-6)?
(1) y=6
(2)x=2
3) y = 2x - 6
4) y = -6x + 2
Can you please help me on -6x-3(1+5x)=-8(x-4)+4
Answer:
x=-3
Step-by-step explanation:
-6x-3(1+5x)=-8(x-4)+4
Step 1. Distribute:
-6x-3-15x=-8x+32+4
Step 2. Combine like terms:
-21x-3=-8x+36
Step 3. Add to different sides:
-13x=39
Step 4. Solve for x:
x=-3
-
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given Equation:
[tex]-6x-3(1+5x)=-8(x-4)+4[/tex]
[tex]-6x-3(1)-3(5x)=-8(x)-8(-4)+4\\\\-6x-3-15x=-8x+32+4\\\\-6x-15x-3=-8x+36\\\\-21x-3=-8x+36\\\\[/tex]
Adding '[tex]8x[/tex]' both the sides:
[tex]-21x+8x-3=-8x+8x+36\\\\-13x-3=36[/tex]
Adding '3' both the side:
[tex]-13x-3+3=36+3\\\\-13x=39\\\\x=\frac{39}{-13} \\\\[/tex]
[tex]x=-3[/tex]
A deli sells ham subs (h) for $6 each and meatball subs (m) for $8 each. The deli sells less than 40 subs on Monday. The total amount for all sales is less than $200. Which system of inequalities models this situation?
The requried system of inequalities that models this situation 6h + 8m < 200 and h + m < 40.
What is inequality?In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).
Here,
Let's use the variables h and m to represent the number of ham and meatball subs sold, respectively. Then the system of inequalities that models this situation is:
h + m < 40 (the deli sells less than 40 subs)
6h + 8m < 200 (the total amount for all sales is less than $200)
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The situation is modeled by the system of inequalities h + m < 40 and 6h + 8m < 200, where h represents the number of ham subs and m represents the number of meatball subs sold.
The deli sells two types of subs: ham subs (h) for $6 each and meatball subs (m) for $8 each. The total number of subs sold on Monday is less than 40, and the total sales amount is less than $200. We are looking to model this situation with a system of inequalities.
To represent the scenario, we can use the following system of inequalities:
h + m < 40 (because the deli sells less than 40 subs)
6h + 8m < 200 (because the total amount for all sales is less than $200)
This system captures the constraints on both the number of subs sold and the total sales amount in dollars.
Tommy has 6 more than 3 times the amount of money in his bank account than Judy. Judy has $7500 more than a number in her account. How much money does Judy and Tommy have in each their accounts?
Answer: Judy: n+7500
Tommy: 3(n+7500)+6
Step-by-step explanation:
Blueberries cost 2.25 dollars per pound how many would 10 pints of blueberries cost
The cost of 10 pints of blueberries, given their price per pound ($2.25), is $33.75.
Explanation:The subject of this question is the cost of buying blueberries, given their price per pound. To find out the cost of 10 pints of blueberries, you first need to know how many pounds are in a pint. Given that approximately 1.5 pounds of blueberries make up a pint, you then multiply the number of pints, here 10, by 1.5 to get the total weight in pounds. Therefore, 10 pints is equivalent to 15 pounds of blueberries. You then multiply the total weight (15 pounds) by the cost per pound ($2.25) to get the total cost. Hence, 15 pounds multiplied by $2.25 equals $33.75. So, the cost of 10 pints of blueberries would be $33.75.
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what is the difference of the fractions below? 3/4-3/5
Answer:
[tex] \frac{3}{4} - \frac{3}{5} = \frac{15}{20} - \frac{12}{20} = \frac{3}{20} [/tex]
The table of values shows the output values of three different equations for the same
input values, 3.
Drag the correct expression to each row to complete each equation.
Answer:
x+33x^23^xStep-by-step explanation:
Relationship 1
The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.
__
Relationship 2
The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is (3x^2), which matches the values of y2.
__
Relationship 3
The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3^x), which matches the values of y3.
The relations are:
x+3
3x^2
3^x
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the
Finding the relations:Relationship 1:
The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.
Relationship 2:
The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is (3x^2), which matches the values of y2.
Relationship 3:
The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3^x), which matches the values of y3.
The relations are:
x+3
3x^2
3^x
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