So,
-2m+5=-2m-5
-2m + 2m = -5 - 5
0 = -10
which is no solution.
Therefore, the required equation is -2m + 5 = -2m - 5.
Write your answer as a mixed number 4 1/3 +5 5/6 - 7 1/8 +29/3
can you solve the equation 2/3(4x - 5)= 8 by using the division property of equality? explain.
[tex]\dfrac{2}{3}(4x-5)=8\qquad|\text{use the division property of equality}\\\\\dfrac{2}{3}(4x-5):\dfrac{2}{3}=8:\dfrac{2}{3}\\\\\dfrac{2}{3}(4x-5)\cdot\dfrac{3}{2}=8\cdot\dfrac{3}{2}\\\\4x-5=4\cdot3\\\\4x-5=12\qquad|\text{use addition property of equality}\\\\4x-5+5=12+5\\\\4x=17\qquad|\text{use the division property of equality}\\\\4x : 4=17:4\\\\x=\dfrac{17}{4}[/tex]
A nursery owner buys 5 panes of glass to fix some damage to her greenhouse. The 5 panes cost $12.25.Unfortunately ,she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
One pane costs $2.45, therefore 2 panes would cost $4.90. and the combined cost of all seven panes would be $17.15. I got this by dividing 12.25 by 5 and multiplying that by 7 to get 17.15. I hope this helped you with your question :)
The cost of another 2 panes of glass is $4.90.
Explanation:To find the cost of another 2 panes of glass, we first need to determine the cost per pane of glass. Since the nursery owner bought 5 panes of glass for $12.25, we can divide the total cost by the number of panes to get the cost per pane: $12.25 ÷ 5 = $2.45
Since the owner broke 2 more panes, we can multiply the cost per pane by the number of additional panes needed: $2.45 × 2 = $4.90
Therefore, the cost of another 2 panes of glass is $4.90.
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What is the binomials is a factor of the trinomials x^2+13x+40?
A. x-5
B. x+5
C. x+4
D.x-4
The correct answer is: [B]: " (x + 5) " .
______________________________
Explanation:
To solve:
_______________________________
Given:
_______________________________
" x² + 13x + 40 " ; factor into "two terms" ;
→ that is; "factor into 2 (two) binomial expressions" .
____________________________
What 2 (two) factors of: "+ 40" add up to " + 13 " ? ;
____________________________
+ 40, + 1 ?? ; → +40 + (+1) = +41 ; → + 41 ≠ + 13 ;
- 40 + (-1) ?? ; → - 40 + (-1) = - 40 - 1 = - 41 ; → - 41 ≠ +13 ;
+8, + 5 ?? ; → + 8 + 5 = + 13 ; → + 13 = + 13 . Yes!
So; the factors of: " x² + 13x + 40 " ;
are: " (x + 5) (x + 8) " .
______________________________
Among this 2 (two) binomial factors: "(x + 5)" AND: "(x + 8)" ;
one of these: " (x + 5) " — appears among the answer choices provided;
→ which is: [B]: " (x + 5) " .
______________________________
The correct answer is: [B]: " (x + 5) " .
______________________________
Hope this helps!
Best wishes in your academic endeavors — and
within the "Brainly" community!
______________________________
Jeff won a contest play a round golf with Phil. Phil’s final score was -6 but Jeff shot +24.
- write an expression that you could use to find the difference in the scores.
What is the difference in their scores .
Correct answer is: difference in their scores is 30
Solution:-
Given that Jeff won a contest play a round golf with Phil.
And Phil's score was -6 where as Jeff score was 24.
Hence difference in the scores = Higher score - lower score
= 24-(-6) = 30 ( negative of negative will become positive)
Hence difference in their scores is 30.
Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.
With a desired confidence of 99%, which has a z*-score of 2.58, which statements are true? Check all that apply.
E = z*
The sample size is 40.
The sample size is 64.
The point estimate of the population proportion is 0.16.
The point estimate of the population proportion is 0.625.
The margin of error is approximately 12%.
The margin of error is approximately 16%.
- The sample size is 64.
- The point estimate of the population proportion is 0.625.
-The margin of error is approximately 16%.
Answer:
Step-by-step explanation:
Given that Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.
Out of the statements given the true statements are :
1) The sample size is 64
2) The point estimate of the population is sample proportion =40/64 =5/8
=0.625
3) Margin of error = std error x 2.58
Std error = sq rt pq/n
p=0.625 and q = 0.375
Hence std error = 0.060
Margin of error = 0.156
Round off to 0.16 = 16%
Three coins are tossed. find the probability that two land on heads?
When three coins are tossed, the probability of two coins landing on heads is 3/8 or 0.375.
Explanation:In the scenario where three coins are tossed, the total outcomes possible would be 2^3 = 8 (representing Heads/H or Tails/T): HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
Out of these, there are three outcomes where exactly two coins show heads (HHT, HTH, THH), and one coin shows tails. Hence, the probability of getting exactly two heads when three coins are tossed is 3 out of 8 or 3/8 = 0.375.
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factor 4m^2 +16m+15
Split the second term in 4m^2 + 16m + 15 into two terms
4m^2 + 10m + 6m + 15
Factor out the common terms in the first two terms, then in the last two terms
2m(2m + 5) + 3(2m + 5)
Factor out the common term 2m + 5
(2m + 5)(2m + 3)
4m^2 + 16m + 15
With the way the trinomial is, we cannot factor it in it's current state.
We must check to see if splitting the middle term is possible.
List factors of 60
1 * 60
-1 * -60
2 * 30
-2 * -30
3 * 20
-3 * -20
4 * 15
-4 * -15
5 * 12
-5 * -12
6 * 10 (this digits satisfy the criteria for splitting the middle term.)
Split the middle term.
4m^2 + 6m + 10m + 15
Group the polynomials in terms of 2.
(4m^2 + 6m) + (10m + 15)
Factor each binomial.
2m(2m + 3) + 5(2m + 3)
Rearrange the binomials.
(2m + 5)(2m + 3)
PLEASE HELP MEEEEEThe technology company asks the general contractor to lay gravel on the ground in the area between the warehouse and the fence. Each bag of gravel, G, covers 12x square feet of land and costs $22. Which of the following situations best models the minimum cost to completely cover the ground between the warehouse and the fence with gravel?
To model the minimum cost to completely cover the ground between the warehouse and the fence with gravel, find the product of the number of bags of gravel, G, and the cost per bag, $22.
To model the minimum cost to completely cover the ground between the warehouse and the fence with gravel, find the sum of the number of bags of gravel, G, and the cost per bag, $22.
To model the minimum cost to completely cover the ground between the warehouse and the fence with gravel, find the difference between the number of bags of gravel, G, and the cost per bag, $22.
None of the above.
It would be second choice
Answer:
None of the above.
Step-by-step explanation:
Given,
The area of ground covered by each bag = 12x square feet,
Let A be the total area of the land,
So, the total number of bags required = [tex]\frac{\text{total area}}{\text{area covered by each bag}}[/tex]
[tex]=\frac{A}{12x}[/tex]
Also, the cost of each bag = 22 dollars,
So, the total cost to cover the ground ( say C ) = number of bags required × cost of each bag
[tex]C=\frac{A}{12x}\times 22[/tex]
For minimizing C we need the value of A,
Hence, none of the given options are correct.
Bob and Cheryl are taking a road trip that is 188.3 miles. Bob drove 5/7 of the total distance. How many miles did bob drive.
Bob drove 134.5 miles. If you created a comparison between 5/7 and 188.3, do so by using 5/7=x/188.3 . Multiply 7 and x equaling to 7x and 5 with 188.3 to get 941.5 . After that divide 941.5 by 7x, and the answer for x would result in 134.5, the amount he drove
Which of these procedures is the same as multiplying a whole number by 1,000?
Moving the decimal 3 places to the right
The correct option is c.
To multiply a whole number by 1,000, move its decimal point three places to the right and add zeros.
To multiply a whole number by 1,000, which is equivalent to adding three zeros to the end of the number, you would:
c). Move the decimal point three places to the right and fill in the blank places with zeros.
Let's illustrate with an example:
If we have the whole number 5, multiplying it by 1,000 would result in 5,000.
To achieve this using option c):
- Start with 5.
- Move the decimal point three places to the right: 5.000.
- Fill in the blank places with zeros: 5,000.
This process ensures that the value increases by a factor of 1,000, which matches the result of multiplying the whole number by 1,000. Therefore, option c) is the correct procedure.
The complete question is here:
Which of these procedures is the same as multiplying a whole number by 1,000?
a). add 1000 to the whole number, 3 times
b). multiply the whole number by 3, ten times
c). move the decimal point there places to the left and fill in the blank places with zeros
d). move each digit of the whole number three places to the left and fill in the blank with places with zeros
The figure shows two parallel lines KL and NO cut by the transversals KO and LN:
Which statement best explains the relationship between Triangle KLM and Triangle ONM?
Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
Answer:
Triangle KLM is congruent to triangle ONM.
Step-by-step explanation:
All three angles of triangles are equal, that is both triangles are congruent.
Please share the figure to show the numbering of angle you are using. So that I can describe you which angle is equal to which one.
A particular plant root grows 2.5 inches per month. How many centimeters is the plant root growing per month? (1 inch = 2.54 centimeters). 0.98 centimeters 1.02 centimeters 5.04 centimeters 6.35 centimeters
Answer:
6.35 cm
Step-by-step explanation:
Did this exam on FLVS.
02.07 Unit Conversions right?
well hope this helped!!
Which equation represents a proportional relationship that has a constant of proportional equal to 4/5
y=4/5 x is a proportional relationship
Ding three consecutive even integers such that the sum of twice the smallest and three times the largest is 42
Answer:
6,8,10
Step-by-step explanation:
Two consecutive even integers would have difference of 2
Hence we can assume the three consecutive integers to be of the form
a-2, a and a+2
Smallest number = a-2 and
Largest number = a+2
Twice the smallest number + 3 times largest number =42 (given)
2(a-2)+3(a+2) = 42
2a-4+3a+6 =42
5a +2 =42
Subtract 2 and then divide by 5
5a = 40 and a = 8
Hence the three numbers are 6,8 and 10
Which equation can be used to solve the problem?
How many 12-packs of juice boxes contain a total of 84 juice boxes?
Answer:
7
Step-by-step explanation:
Formula
Total Juice boxes(T) = number of packs(n) * amount in each pack(a)
T = n * a
Givens
T = 84
n = ???
a = 12
Solution
T = n * a Substitute givens
84 = 12*n Divide by 12
n = 84 /12
n = 7 Answer number of packs of 12
There are 4 quarts in a gallon. How many gallons of olive oil did the restaurant use during the week? Please explain and give answer. Thanks in advance.
To find the number of gallons of olive oil used during the week, divide the volume of olive oil used in quarts by 4.
Explanation:To find out how many gallons of olive oil the restaurant used during the week, we need to know the volume of olive oil used and convert it from quarts to gallons. Since there are 4 quarts in a gallon, we can divide the volume of olive oil used by 4 to get the number of gallons. Let's say the restaurant used 20 quarts of olive oil during the week. We divide 20 by 4 to get the answer:
20 quarts ÷ 4 = 5 gallons
Therefore, the restaurant used 5 gallons of olive oil during the week.
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Five added to 3 times a number is equal to 8 less then 5 times the number
A. 8x +5=4x +3
B. 3x-4= 5x+8
C. 3x+5= 5x -8
D. 4x +3 =8x -5
The answer is C. 3x+5= 5x -8
if y varies directly as X and Y is 48 when X is 6 what is expression can be used to find the value of y when X is to
The expression y = kx can be used to find the value of y when x is given. In this case, the value of y when x is 2 is 16.
Explanation:To find the expression to determine the value of y when x is 2, we need to use the fact that y varies directly as x. This can be represented by the equation y = kx, where k is the constant of variation.
We are given that when x is 6, y is 48. Plugging these values into the equation, we have 48 = k * 6. Solving for k, we find that k = 8.
Now we can use this value of k in our equation to find y when x is 2. Substituting 8 for k and 2 for x, we have y = 8 * 2 = 16. Therefore, the value of y when x is 2 is 16.
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What is 4.51 rounded to the nearest whole number ?
5
Rounding to whole number is the same number as it is, tenth means to leave one number after the decimal point, hundredths means to leave two numbers after the decimal point and so on.
can someone help please ?
2. Because it is being reflected across the X axis, the X coordinate would change signs, but the Y coordinate would remain the same sign.
A(-6,-4) would become A'(6,-4)
B(-3,5) would become B'(3,5)
C(1,-1) would become C'(-1,-1)
The answer would be the third choice.
3. Reflected across the Y axis, the X would stay the same sign and the Y would change signs.
P(-2,-4) would become P'(-2,4)
Q(2,-5) would become Q'(2,5)
R(-1,-8) would become R'(-1,8)
The answer would be the second choice.
The scores on a psychology exam were normally distributed with a mean of 57
and a standard deviation of 4. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed?
Answer:
Cutoff for a failing score is 49 and 2.28% students failed.
Step-by-step explanation:
We have been given that scores on a psychology exam were normally distributed with a mean of 57 and a standard deviation of 4.
2 standard deviation below mean would be,
[tex]57-2(4) =57-8= 49[/tex]
Therefore,Cutoff far a failing score is 49.
Now let us find out the z-score for our given values,
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{49-57}{4}=\frac{-8}{4} =-2[/tex]
Now let us look up the probability from normal distribution table.
[tex]P(z<-2) =0.02275[/tex]
Therefore, percentage of students failed is 2.28%.
Is this right? and if not, can you explain me please.
Your corresponding angles is wrong. Instead, use 9 and 12.
That's about it. Good luck!
Sam initially invested $4,500 into a savings account that offers an interest rate of 3% each year. He wants to determine the number of years, x, for which the account will have less than or equal to $7,020.
Determine the solution set to the inequality that represents this situation.
Answer:
Principal = $4,500
Rate of interest=3%
Time = x years
We have to find number of years such that
Amount ≤$7020
Amount ≤ Principal + Simple interest
7020≤4500+ S.I
S.I≥7020-4500
S.I≥$2520
Formula for simple interest
S.I=[tex]\frac{P\times R \times T}{100}[/tex], where P=Principal, R=Rate of interest, T=time
2520≥[tex]\frac{4500 \times 3 \times x}{100}[/tex]
[tex]\frac{2520 \times 100}{4500 \times 3} \leq x[/tex]
x≤[tex]\frac{56}{3}[/tex]
So, the solution set is (0,[tex]\frac{56}{3}[/tex]]
Answer:
The solution set to the given inequality : 0 < x ≤ 18.67
Step-by-step explanation:
Principal = $4500
Simple Interest Rate = 3%
= 0.03
Time = x year
Amount in the account will be less than or equal to $7020
⇒ Amount ≥ Principal × (1 + Rate × Time)
⇒ 7020 ≥ 4500(1 + 0.03·x)
⇒ 7020 ≥ 4500 + 135·x
⇒ 2520 ≥ 135·x
⇒ 18.67 ≥ x
The solution set to the given inequality : 0 < x ≤ 18.67
The length of a rectangle is 2 times the width. The area is 200 square centimeters. Find the length and width of the rectangle
Width=10
Length=20
10 is half of 20
10 × 20 = 200,
The width of the rectangle is 10 centimeters and the length is 20 centimeters. This is determined by using the formula for area of a rectangle, length times width, and substituting the given values.
Explanation:To solve this problem, we'll use the formula for the area of a rectangle, which is length times width. We're told that the length is 2 times the width and the area is 200 square centimeters.
Let's designate the width as x. So the length is 2x. Since area is length times width, the equation is 2x*x=200. This simplifies to 2x2=200, or x2=100. Therefore, x equals 10 (as we don't consider a negative number for measurement). The width of the rectangle is 10 centimeters and the length, being 2 times the width, is 20 centimeters.
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Which lettered points in the number line above have absolute value less than three? Show work
Please help me answer this question and show work (see attached)
Robin purchased 3 1⁄2 ounces of whole wheat cereal for $1.40. What is the cost per ounce?
1.40/3.5=.4
that would be your answer
For which value of x is the figure a rectangle?
A. x = 1
B. x = 2.5
C. x equals 6 and two-thirds
D. x = 10
We know that the diagonals of rectangle are congruent and bisect each other. So it means the given measurements would be equal to each other. We can set them equal asn solve for x.
8x + 3 = 4x + 7
Subtracting 3 from both sides;
8x + 3 - 3 = 4x + 7 - 3
8x = 4x + 4
Subtracting 4x from both sides;
8x - 4x = 4x + 4 - 4x
4x = 4
Dividing by 4 on both sides;
4x/4 = 4/4
x = 1
Hence, option A is correct i.e. x = 1.
Answer: x=1
Step-by-step explanation:
-5
x=-9
x=11
x=12
x=8
-5x+6(4x+15)=242
[tex]-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8[/tex]
Hello there!
The answer it should be the the last option "x=8".
[tex]-5x+6(4x+15)=242\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to expand the form.
[tex]6(4x+15):24x+90[/tex]
[tex]-5x+24x+90=242[/tex]
Then you had to add similar by the elements.
[tex]-5x+24x=19x[/tex]
[tex]19x+90=242[/tex]
You had to subtract by 90 from both sides of the equation.
[tex]19x+90-90=242-90[/tex]
Simplify
[tex]19x=152[/tex]
Divide by 19 from both sides of the equation.
[tex]\frac{19x}{19}=\frac{152}{19}[/tex]
Simplify it should be the correct answer.
[tex]x=8[/tex]
Answer⇒⇒⇒⇒x=8
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie