√36 and √49
√36 = 6 and √49 = 7
6 < √47 < 7
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m
It's B)
Sorry... I was late
Answer:
-7m - 8 = m - 4
Step-by-step explanation:
Our original equation is
-2m - 5m - 8 = 3 + (-7) + m
Combining like terms on the left, we have
-7m - 8 = 3 + (-7) + m
Combining like terms on the right, we have
-7m - 8 = -4 + m
Writing the equation with the variable first on the right hand side, we have
-7m - 8 = m - 4
Brian and Chris went together to Target to find party favors for a birthday party they are throwing together. Brian found 4 items that cost the same amount. Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. Brian and Chris both paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Brian's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Let us assume Brian's one item cost = $ x.
Chris one item cost is $2.50 more than Brian’s items each cost.
Therefore, Chris one item cost is = $(x+2.50).
Total cost of Brian's 4 items = 4*x = 4x.
Total cost of Chris's 3 itmes = 3*(x+2.50) =3(x+2.50)
It is said that Brian and Chris both paid the same amount of money.
Therefore,
Total cost of Brian's 4 items = Total cost of Chris's 3 itmes.
a) We can setup an equation now,
4x = 3(x+2.50), where x represent the cost of one of Brian's items.b) Let us solve above equation for x.
4x = 3(x+2.50)
distributing 3 over (x+2.50), we get
4x = 3x + 7.50.
Subtracting 3x from both sides we get
4x-3x = 3x-3x =7.50.
x = 7.50.Therefore, the cost of one of Brian's items = $7.50.
Chris one item cost is $2.50 more than Brian’s items each cost.
Chris one item cost is = 7.50 +2.50 = $10.00.
c) Plugging x=7.50 in the equation we get to check the solution.
4x = 3(x+2.50)
4(7.50) = 3(7.50+2.50).
30 = 3(10.00)
30=30.
Therefore, solution x=7.50 is correct.
d) The cost of one of Brian's items is $7.50 and Chris's one item cost is $10.00.Answer:
Brians is $7.50 and chris is $10.00!
I'm sorry I don't have the math but I submitted the assignment and got a 100!
Martha earns $12.47 per hour. John makes 3 times as much as Martha. How much does John earn per hour?
A.$36.00
B.$37.21
C.$37.41
D.$36.41
PLEASE HELP ME ASAP
The answer is C.37.41
Write the numerical expression for the product of 8 and the sum of 9 and 11.3. Then evaluate it.
Solution: The numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.
Explanation:
The sum of 9 and 11.3 is written as [tex](9+11.3)[/tex].
The product of 8 means the expression should multiply by 8.
According to the given information the the product of 8 and the sum of 9 and 11.3 is written as [tex]8\times (9+11.3)[/tex].
To evaluate the value of the expression first we have to add 9 and 11.3 after that multiply the result by 8.
[tex]8\times (9+11.3)=8\times (20.3)\\8\times (9+11.3)=162.4[/tex]
Therefore, the numerical expression is [tex]8\times (9+11.3)[/tex] and the value of this expression is 162.4.
Answer:
162.4
Step-by-step explanation:
To write the numerical expression for the product of 8 and the sum of 9 and 11.3 we need to follow these steps:
Sum of 9 and 11.3 is given as follows:
[tex](9+11.3)[/tex]
Now the product of 8 and the sum of 9 and 11.3 is:
[tex]8(9+11.3)[/tex]
So the required expression is:
[tex]8(9+11.3)[/tex]
Solving the above expression we get:
[tex]8(9+11.3)=8(20.3)=8 \times 20.3=162.4[/tex]
what number decreased by 8.1 equals 4.9
In order to get your answer add 8.1 + 4.9 = 13. Then to double check subtract 13 by 8.1 which equals 4.9. Hope this helps!
Need help with B. and C.
Hi, here is the solution...
Part B)
The Navy Pier Ferris has the circumference is 56% of the circumference of the first Ferris wheel.
The Navy Pier Ferris Circumference = 439.6 feet
Let's assume "x" be circumference of first Ferris wheel.
56% of x = 439.6
0.56 x = 439. 6 [56% = 0.56]
x = 439.6/0.56
x = 785.
Therefore, the circumference of the first Ferris wheel is 785.
It is diameter = 785/3.14 = 250 feet
So it is radius = 250/2 = 125 feet.
Part C)
The circumference = 785 feet
Speed = Distance/Time
Speed = 785/9
Speed = 87.2 feet per minute.
That's it. Hope you will understand the steps.
Thank you. :)
The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimensions of the rectangle?
to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
The dimensions of the rectangle is 11 by 6 inches
How to determine the dimensions?The dimensions are given as:
x + 7 and x + 2
The area is given as:
Area = 66
The area of a rectangle is:
Area = Length * Width
So, we have:
(x + 7) * (x + 2) = 66
Express 66 as 11 * 6
(x + 7) * (x + 2) = 11 * 6
By comparison, we have:
x + 7 = 11 and x + 2 = 6
Solve for x
x = 4 and x = 4
Substitute 4 for x in x + 7 and x + 2
x + 7 = 4 + 7 = 11
x + 2 = 4 + 2 = 6
Hence, the dimensions of the rectangle is 11 by 6 inches
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find the number of sides of a regular polygon if the measure of an interior angle is 157.5°
In a polygon with n sides, the sum of the measures of the interior angles, S, is
[tex] S = (n - 2)180 [/tex]
In a regular polygon with n sides, the measure of each interior angle, a, is the sum of the measures of the interior angles divided by the number of sides, or
[tex] a = \dfrac{(n - 2)180}{n} [/tex]
In this case, we know the measure of one angle, a = 157.5°, so we plug it into the second formula and solve for n.
[tex] a = \dfrac{(n - 2)180}{n} [/tex]
[tex] 157.5 = \dfrac{(n - 2)180}{n} [/tex]
[tex] 157.5n = (n - 2)180 [/tex]
[tex] 157.5n = 180n - 360 [/tex]
[tex] -22.5n = -360 [/tex]
[tex] n = 16 [/tex]
Answer: The polygon has 16 sides.
In order to find the number of sides for a regular polygon with an interior angle of 157.5°, we use the formula n = 360 / (180 - 157.5), which gives us n = 16. Hence, the polygon has 16 sides.
Explanation:In mathematics, the number of sides of a regular polygon can be found if the measure of an interior angle is known. Given that the interior angle is 157.5° we use the formula for calculating the measure of an interior angle in a regular polygon:
n = 360 / (180 - 157.5)
Where 'n' represents the number of sides in the polygon. Substituting 157.5 into the formula, the calculation becomes n = 360 / 22.5. By performing the calculation, we find that n = 16. Therefore, the regular polygon with an interior angle of 157.5° has 16 sides.
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Answer any of these questions and still get a good rating if you are correct. (Also this is multiplication with fractions)
1.What is the product in simplest form?
−8/9⋅5/6
2.What is the product?
Enter your answer as a fraction, in simplified form, in the box.
−4/5⋅10/16
3.(−2.1)⋅(−1.4)
what is the discriminant of p2+6p+9=0
p^2+6p+9=0
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
b^2−4(ac)
Substitute in the values of
a, b, and c.
6^2−4(1⋅9)
Evaluate the result to find the discriminant.
36-4(9)
36-36
0
The discriminant of the quadratic equation p²+6p+9=0 is zero, suggesting that it has exactly one real, repeated solution.
The discriminant of the quadratic equation p²+6p+9=0 is calculated using the formula D=b²-4ac, where a, b, and c are the coefficients of the quadratic equation ax²+bx+c=0. In this equation, a=1, b=6, and c=9. Substituting these values into the discriminant formula gives us:
D = b² - 4ac
D = (6)² - 4(1)(9)
D = 36 - 36
D = 0
The discriminant is zero, which indicates that the quadratic equation has one real, repeated solution, meaning the parabola touches the x-axis at a single point.
challenge questions 1
9)
[tex]\frac{24z^{5}y^{4}}{3z^{-2}y^{5}} = \frac{24}{3}*\frac{z^{5}}{z^{-2}}*\frac{y^{4}}{y^{5}} = \frac{8}{1} *\frac{z^{5+2}}{1}*\frac{1}{y^{5-4}} = \frac{8z^{7} }{y}[/tex]
11)
(a²b)³ = a²⁽³⁾b¹⁽³⁾ = a⁶b³
12)
The exponent tells you how many places to move the decimal. The positive/negative sign tells you which direction to move the decimal (negative is left, positive is right).
8.4 x 10⁻⁵ move the decimal 5 places to the left = 0.000084
a large farm has 75 acres of wheat and 62.5 acres of corn. the farm crew can harvest the wheat from 12 acres and the corn from 10 acres per day. in how many days will all of the fields be harvested
Answer:
7 days
Step-by-step explanation:
First let's start with the wheat. If you know that there is 75 acres of wheat, and you can harvest 12 acres in one day, all you have to do is 75 divided by 12.
This would get you at 6.25, but a whole day would be 7.
Corn, you know that there is 62.5 acres. Same thing, you do 62.5/10, and will get you around 7 again.
Katie bought a dozen donuts for $1.99. Write an equation which shows how yo fib the price (p) of each donut.
$1.99/12
hope this helps
estimit of 309 times 29 im in school
We can round 29 up to 30, and 309 up to 310. This gives us a rough estimate of about 9,300.
John and his family went out to eat at the bill of the food was $65 and it has a 20% tip what was the total cost other meal including the tip
$78
$65x.20=13
65+13=$78
write each percent as a decimal 89% 100% 0.01%
a baseball coach bought some bats and gloves for the school's baseball team.the bats cost $20 to $35,and gloves cost $30 to $60.which of this does not represent a reasonable total purchase price for 15 bats and 12 gloves
A.$1,350
B.$890
C.$1,200
D.$705
Max cost of 15 bats = 15 x 35 = $535
Min cost of 15 bats = 15 x 20 = $300
Max cost of 12 gloves = 12 x 60 = $720
Mix cost of 12 gloves = 12 x 30 = $360
Min total cost = 360 + 300 = $660
Max total cost = 535 + 720 = $1255
The range is from $660 to $1255
=============> Answer (A) is out of the range
Find n so that number sentence below is true and explain your answer, referencing the relevant properties of exponents
Ugh, I hate FLVS. I'm not exactly sure, but i know that 2 to the 12 power is 24, and 2 to the fourth power is 8. Sorry I'm not being very helpful.
Which expression is equivalent to 3/4 - 1/2?
Miss Kincaid is 65 inches of ribbon is your post to instantly 5 inches of ribbon how many students get a 5 inch piece of ribbon
To determine the number of 5-inch pieces of ribbon that can be obtained from a 65-inch ribbon, divide the total length by the length of each piece. So, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.
Explanation:To determine how many 5-inch pieces of ribbon can be obtained from 65 inches of ribbon, we divide the total length of the ribbon by the length of each piece. So, we divide 65 by 5:
Therefore, 13 students can each get a 5-inch piece of ribbon from the 65-inch ribbon.
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What is an equation of the line that is perpendicular to y=3x-9 and that passes through the point (3,1)
The correct answer is [tex]y=3x-8[/tex] as shown by the green line on the graph attached to this answer.
Which of the following is the solution to the compound inequality below? 3x+4>13 or 2x-1<-11
Answer: Option D. x>=3 or x<=-5
Solution:
3x+4>=13 or 2x-1<=-11
3x+4-4>=13-4 or 2x-1+1<=-11+1
3x>=9 or 2x<=-10
3x/3>=9/3 or 2x/2<=-10/2
x>=3 or x<=-5
Answer:
D
Step-by-step explanation:
A P E X
I need help solving this question
C.
Combine like terms when adding f(x) and g(x) 2x^2 + x^2 and 1 + (-7) = 3x^2 - 6
Kevin gave ben $4.90 in dimes and quarters.if 10 coins were quarters how many coins were dimes which equation models this problem
10x0.25=2.50-4.90=2.40/.010= 24
24 dimes
Answer:
D)0.25 • 10 + 0.1 • d = 4.90
Step-by-step explanation:
what is the answer
−2=6/7p
Isolate the p. Note the equal sign. What you do to one side, you do to the other. Multiply 7/6 to both sides
(-2)(7/6) = (6/7)(7/6)p
p = (-2)(7/6)
Multiply -2 and 7, then divide by 6
p = (-2 x 7)/6
p = -14/6
Divide
p = ~-2.33 (rounded)
-2.33 is your answer
hope this helps
Hello there!
[tex]-2=6/7p\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓
First you had to switch sides.
[tex]\frac{6}{7}p=-2[/tex]
Then you multiply by 7 from both sides of the equation.
[tex]7*\frac{6}{7}p=7(-2)[/tex]
Simplify
[tex]6p=-14[/tex]
Divide by 6 from both sides of the equation.
[tex]\frac{6p}{6}=\frac{-14}{6}[/tex]
Simplify it should be the correct answer.
[tex]p=-\frac{7}{3}[/tex]
Answer⇒⇒⇒⇒⇒p=-7/3
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Ichiko has guitar practice at 5:00 P.M. on Wednesday. It takes 20 minutes for him to get to his lesson from school. He spends an hour in the science lab before leaving. If it takes 10 minutes to get ready for the lab, what time does his class end?
5:00 practice - 20 minute walk - 60 minutes in science lab - 10 minutes to get ready for the lab.
5:00 - 90 minutes
3:30 for class end time
20 PTS!!!
For what value of x will the line passing through the following pairs of points be vertical? F(3−2x, 12) and G(x+9, 7)
Answer: x = -2
Step-by-step explanation:
vertical line means it will be x = ___
Set the x-values equal to each other and solve for x.
3 - 2x = x + 9
+2x +2x
3 = 3x + 9
-9 -9
-6 =3x
[tex]\frac{-6}{3} = \frac{3x}{3}[/tex]
-2 = x
The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2
For two points (X₁, Y₁) and (X₂, Y₂) to form a vertical line, the x-coordinates must be equal
The given points are F(3-2x, 12) and G(x+9, 7)
X₁ = 3 - 2x
X₂ = x + 9
For the points to form a vertical line:
X₁ = X₂
3 - 2x = x + 9
Collect like terms
x + 2x = 3 - 9
3x = -6
Divide both sides by 3
3x / 3 = -6/3
x = -2
The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2
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what is 25% of 1000?????
Hey there!
25% of 1,000
= 25% * 1,000
= 25/100 * 1,000/1
= 25 ÷ 5 / 100 ÷ 5 * 1,000/1
= 5 / 20 * 1,000/1
= 5 ÷ 5 / 20 ÷ 5 * 1,000/1
= 1 / 4 * 1,000 / 1
= 1/4 * 1,000/1
= 1(1,000) / 4(1)
= 1,000 / 4
= 1,000 ÷ 4
= 250
Therefore, your answer should be: 250
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
simplify (3x+2)(x-7)
Remember to follow the FOIL method.
Note that: FOIL = First, Outside, Inside, Last.
Multiply
First: (3x)(x) = 3x²
Outside: (3x)(-7) = -21x
Inside: (2)(x) = 2x
Last: (2)(-7) = -14
-------------------------------------------------------------------------------------------------------------
3x² -21x + 2x -14
Combine like terms
3x² (-21x + 2x) - 14
3x² - 19x - 14
3x² - 19x - 14 is your answer
~Rise Above the Ordinary
Mary's account balance is -$45.62 Tom's account balance is -$42.55 which balance represents the greater number which balance represents the lesser amount owed
greater is Mary, lesser is tom