Answer:
x=-10/23
Step-by-step explanation:
-23x=10
x=10/-23
x=-10/23
Answer:
x = -15 thus c: is your answer
Step-by-step explanation:
Solve for x:
10 = (-2 x)/3
10 = (-2 x)/3 is equivalent to (-2 x)/3 = 10:
(-2 x)/3 = 10
Multiply both sides of (-2 x)/3 = 10 by -3/2:
(-3 (-2) x)/(2×3) = (-3)/2×10
(-3)/2×(-2)/3 = (-3 (-2))/(2×3):
(-3 (-2))/(2×3) x = (-3)/2×10
(-3)/2×10 = (-3×10)/2:
(-3 (-2) x)/(2×3) = (-3×10)/2
(-3)/3 = (3 (-1))/3 = -1:
(-2-1 x)/2 = (-3×10)/2
(-2)/2 = (2 (-1))/2 = -1:
--1 x = (-3×10)/2
(-1)^2 = 1:
x = (-3×10)/2
10/2 = (2×5)/2 = 5:
x = -35
-3×5 = -15:
Answer: x = -15
Simplify the expression -4b+8c+12-8b-2c+6
Answer:
-6(2b-c-3)
Step-by-step explanation:
Collect like terms
-12b+6c+12+6
Add the 2 numbers on right
-12b+6c+18
Factor -6 out of expression
-6(2b-c-3)
Answer:
2.03
Step-by-step explanation:
Chloe is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Chloe made a total of 9 shots altogether and scored a total of 22 points. Determine the number of three point shots Chloe made and the number of two point shots she made.
Chloe made 4 three-point shots and 5 two-point shots.
Explanation:Let's solve this problem using a system of equations.
Let x be the number of three-point shots Chloe made and y be the number of two-point shots she made.
We have the following equations:
x + y = 9 (equation 1)
3x + 2y = 22 (equation 2)
From equation 1, we can solve it for x:
x = 9 - y
Substitute this value of x into equation 2:
3(9 - y) + 2y = 22
27 - 3y + 2y = 22
-y = -5
y = 5
Substitute this value of y back into equation 1:
x + 5 = 9
x = 4
Therefore, Chloe made 4 three-point shots and 5 two-point shots.
62 out of 74 students turned in their hw. What percent of students turned in their hw and what percent did not turn in hw
83.78% students turned in their homework and 16.22 percent students did not turn in their homework
Step-by-step explanation:
Percentage formula will be used for this problem
Given
Total students = 74
Students who turned their homework = 62
So the percentage of students who turned in their homework will be:
[tex]Percentage\ of\ students\ who\ turned\ in\ their\ hw = \frac{62}{74} *100\\=0.8378*100\\=83.78\%[/tex]
So the students who did not turn in their homework = 100-83.78
=16.22%
Hence,
83.78% students turned in their homework and 16.22 percent students did not turn in their homework
Keywords: Percent, percentage
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What is the answer to this?
Answer:
7^-12 or 1/7^12
Step-by-step explanation:
To divide exponents with the same base, subtract the second exponent from the first.
So:
7^-5/7^7 = 7^-5-7 = 7^-12
You can also write 7^-12 as 1/7^12.
Each snack at the concession
stand is priced at $4.00. All of the
snacks cost a total of $86.56.
How many snacks will need to be
sold in order to make a minimum
profit of $100.00?
To make a minimum profit of $100 with each snack priced at $4.00, a total of 47 snacks need to be sold at the concession stand. This includes 22 snacks to cover the total cost of $86.56 and an additional 25 snacks to achieve the profit goal.
Explanation:The question is about finding out how many snacks need to be sold at a concession stand to achieve a minimum profit. To get the answer, we first need to determine how many snacks would make up the total cost, and then calculate how many additional snacks would be necessary to attain the profit goal.
Given that each snack at the concession stand costs $4.00 and that the total cost of the snacks is $86.56, we can find out how many snacks were initially purchased by dividing the total cost by the price of each snack: $86.56 ÷ $4.00 = 21.64 snacks. Since we can't sell a fraction of snack, we round up to 22 snacks to cover the total cost.
To calculate the number of additional snacks needed to attain a $100 profit, we divide the profit goal by the price of each snack: $100 ÷ $4 = 25 snacks.
Therefore, to cover the total cost and also make a minimum profit of $100, the concession stand needs to sell 22 snacks for the cost and additional 25 snacks for the profit, totaling 47 snacks altogether.
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x(956÷14×66) simplify the expression.
Answer:
[tex]\frac{31548}{7} x[/tex]
Step-by-step explanation:
Answer:
31548/7 x
Step-by-step explanation:
Miguel created the ratio table below to show how he uses the money he earns at work. How much money will he save if he earns 120.00?
Answer:
The money he will save if he earns $120.00 is $90.00.
Step-by-step explanation:
Given:
In the figure is the ratio of the savings and the earnings.
Now, to find out that how much savings will be if Miguel earns $120.00.
We need to get the percentage of the ratio of the earning and saving.
So, according to the table:
If he earns $10.00 then he saves $7.50.
[tex]\frac{7.50}{10}\times 100[/tex]
[tex]=0.75\times 100[/tex]
[tex]=75[/tex]
So, if Miguel earns $10.00 he save the 75% of it.
If he earns $50.00 then he saves $37.50.
As we calculate the percentage as the above process then the saving is 75% of the earning.
And, if he earns $150.00 and save $112.50 then it is also the 75% of the earning as mentioned above.
Now, to find the saving of the earning $120.00.
So, it will be 75% of the earning as we observe in the above case:
75% of $120.00
[tex]\frac{75}{100}\times 120[/tex]
[tex]=0.75\times 120[/tex]
[tex]=90[/tex]
Therefore, the money he will save if he earns $120.00 is $90.00.
In order to buy an authentic Wookie mask,, Dale invests $6000 in an account at 9.5% interest compounded continuously. The mask costs $12000. How long will it take until Dale car
buy this mask? Round your answer to the nearest hundredth.
years
It will take 7.30 years until Dale can by his mask
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex] , where
A is the future value of the investment, including interestP is the principal investment amount (the initial amount)r is the interest rate in decimalt is the time the money is invested forDale invests $6000 in an account at 9.5% interest compounded continuously. The mask costs $12000. We need to find how long will it take Dale until can buy this mask
∵ Dale invests $6000
∴ P = 6000
∵ The interest rate is 9.5% ⇒ compounded continuously
∴ r = 9.5% = 9.5 ÷ 100 = 0.095
∵ The mask costs $12000
∴ A = 12000
Substitute these values in the formula above
∵ [tex]12000=6000e^{0.095t}[/tex]
- Divide both sides by 6000
∴ [tex]2=e^{0.095t}[/tex]
- Insert ㏑ for both sides
∴ [tex]ln(2)=ln(e^{0.095t}[/tex])
- Remember that [tex]ln(e^{n})=n[/tex]
∴ [tex]ln(2)=0.095t[/tex]
- Divide both sides by 0.095
∴ t = 7.29628611
∴ t = 7.30 ⇒ to the nearest hundredth year
It will take 7.30 years until Dale can by his mask
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It will take Dale 7.64 years to save enough money to buy the mask we can use the method of compound interest.
To find how long it will take Dale to save enough money to buy the mask, we can use the following formula for compound interest:
A = P * e^(rt)
where:
A is the final amount
P is the principal amount
r is the interest rate
t is the time in years
We know that A = $12000, P = $6000, and r = 9.5%. We need to solve for t.
12000 = 6000 * e^(0.095t)
e^(0.095t) = 2
ln(2) = 0.095t
t = ln(2) / 0.095
t = 7.64
Therefore, it will take Dale 7.64 years to save enough money to buy the mask.
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Blank DVDs are sold in packages of 50 for $17.95. If your
company will need 2,700 blank DVDs next year, how much money
must you budget for blank DVDs?
Answer:
$969.3
Step-by-step explanation:
The DVDs are sold in packages of 50
Divide the total number you need by 50, therefore 2700/50 = 54 packages are needed
The packages are sold at $17.95 for one, hence amount needed is 54 * 17.95 = $969.3
TEST SCORES Matthew's math test scores this
semester were 80, 76, 94, 90, 88, 92, 88, and 70.
Which measure of central tendency might
Matthew want to use to describe his test
scores? Explain.
Answer:
Average mark of the semester
EXPLANATION
This is done by adding the total score divided by the number of scores of the semester in that way Matthews average test score would be gotten
are you able to simplify 3/9?
Answer:
Yes
Step-by-step explanation:
3 and 9 are both divisible by 3. Divide 3 and 9 by 3. You would get the fraction 1/3. You cannot simplify this fraction anymore.
~Stay golden~ :)
Which simplified expression matches the set of tiles shown?
-x² – x+2
x² - x + 2
-x²+x+2
x2+x+2
Algebra tiles are a useful tool to simplify expressions. Depending on their shape and decoration, they represent different parts of the expression. Review your tiles and match them to the four given expressions carefully.
Explanation:The question pertains to Algebra and specifically, matching a simplified algebraic expression to a set of tiles. The exact matching algebraic expression cannot be determined as the set of tiles isn't provided in the question but here's how you would approach this kind of problem:
If you're using algebra tiles, squares typically represent x², rectangles portray x, and small squares depict constants like 2. The color or decoration of a tile may indicate a positive or negative value. For example, a square with '- ' could mean '-x²'.
So if you've got a square with '- ', a rectangle without a decoration, and two small plain squares, your expression should be '-x² - x + 2'. If the rectangle had a '-', your expression would be '-x² + x + 2' instead.
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The set of tiles shown represents the expression x² - x + 2.
Explanation:The set of tiles shown represents the expression x² - x + 2.
To match the tiles to the simplified expression, look at the coefficient and exponent of x on each tile. The first tile has an exponent of 2 and a coefficient of 1. The second tile has an exponent of 1 and a coefficient of -1. The third tile has an exponent of 0 and a coefficient of 2. Therefore, the simplified expression that matches the set of tiles is x² - x + 2.
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Graph the inequality.
4x - 4y > 28
Step-by-step explanation:
[tex]4 < x - 7[/tex]
It's a straight line so plug in two numbers and connect the points.
And the result is everything under the line. Expect the line because its only < instead of <=
To check your answer use Mathaway or something Desmos
I need answers to 4 and 5!!!
Answer:
4. B
5. C
Step-by-step explanation:
4.
We can say the 5 angles of the Pentagon PQRST equals 540 degrees.
We see that Angle P and Angle T are 90 degrees each.
R is given as 100
Q and S are same, let it be "x"
Now we can write an equation:
P + Q + R + S + T = 540
90 + x + 100 + x + 90 = 540
Solving for x, we get:
2x + 280 = 540
2x = 540 - 280
2x = 260
x = 260/2
x = 130
Angle Q is equal to x, so that is 130
Correct answer is B
5.
When 2 parallel lines are cut by transversal, the corresponding angles are equal.
The 60 degree angle given and the angle adjacent (beside) to angle x are same. So we can say that is equal to 60 degrees as well.
This 60 degree angle and x form a straight line. The degree measure of a straight line (or a straight angle) is 180 degrees. Thus we can write:
60 + x = 180
Now, we solve for x:
60 + x = 180
x = 180 - 60
x = 120
The correct answer is C
Please help with b..
Answer:
First side: 12 feet, second side: 16 feet
Step-by-step explanation:
We know that the second side is 4 feet longer than the first side. If the first side is x, then the second side is x+4
b) The total amount of the border is 28 feet, so we can say that first side+second side=28, or
x+(x+4)=28
2x+4=28
2x=24
x=12 feet is the first side
x+4 = 16 feet is the second side
We can check that 12 feet + 16 feet = 28 feet as stated by the problem
if 20%of a length is 23cm. what the complete lenght
Answer:
The complete length is 115 cm.
Step-by-step explanation:
Given:
If 20%of a length is 23 cm.
Now, to find the complete length.
Let, the complete length be [tex]x[/tex].
So, according to question:
20% of [tex]x[/tex] = 23 cm
[tex]\frac{20}{100} \times x=23[/tex]
[tex]0.20\times x=23[/tex]
[tex]0.20x=23[/tex]
Dividing both sides by 0.20 we get :
[tex]x=115[/tex]
Therefore, the complete length is 115 cm.
To find the complete length when 20% is 23 cm, divide 23 cm by 0.20 to get 115 cm as the total length.
If 20% of a length is 23 cm, we want to find out what the complete length is. To do so, we recognize that 20% is the same as saying 20 per 100 or 0.20 in decimal form. If 0.20 of the length is 23 cm, it means that 23 cm represents 0.20 of the total length. We can set up the equation like this:
0.20 * Total Length = 23 cm
To find the Total Length, we divide both sides of the equation by 0.20:
Total Length = 23 cm / 0.20
Total Length = 115 cm
Therefore, the complete length is 115 cm.
One of the angles of an isosceles triangle is 46º.
Find ALL possible measures of the other angles. Also,
in the space below, draw an example of each scenario.
Answer:
The other 2 angles are 67 and 67 degrees OR 46 and 88 degrees.
Step-by-step explanation:
If the vertex angle is 46 degrees then , as the other 2 angles are congruent, they are (180 - 46) / 2 = 67 degrees.
The triangle has angles (46, 67 and 67).
If the 2 equal angles are both 46 then the other angles is 180 - 2(46) = 88 degrees.
The other triangle has angles (46, 46 and 88).
a total of 677 tickets were sold for the school play they were either adult tickets or student tickets there were 73 fewer students tickets than adult tickets how many adult tickets were sold
Answer:
375 adult tickets and 302 student tickets
Step-by-step explanation:
s+a=677
a=s+73
s+s+73=677
2s+73=677
2s=604
s=302
a= 375
Final answer:
Explanation on finding the number of adult tickets sold for a school play when the total number of tickets sold and the relationship between adult and student tickets are known.
Explanation:
The total number of tickets sold for the school play was 677.
Let x be the number of adult tickets sold.
It is given that there were 73 fewer student tickets than adult tickets, so the number of student tickets sold would be x - 73.
Therefore, x + (x - 73) = 677.
Solving this equation, we find that 2x - 73 = 677, 2x = 750, x = 375.
So, 375 adult tickets were sold.
Choose the correct statement about the graph of x - 1 ≤ 2
A.) Closed circle on 1 and all the numbers to the left shaded
B.) Open circle on 3 and all numbers to the left shaded
C.) Open on 1 and all numbers to the right shaded
D.) Closed circle on 3 and all the numbers to the left shaded
Answer:
B.) Open circle on 3 and all numbers to the left shaded
(-20)/4=
What’s the answer ?
Answer:
-5
Step-by-step explanation:
A negative number divided by a positive number will be negative.
20/4 is 5.
(5x4=20)
Therefore (-20)/4 = (-5)
4) Mark rented a bike from Jose's Bikes. It
cost $10 plus $6 per hour. If Mark paid
$22, then he rented the bike for how many
hours?
Answer: 2hrs
Step-by-step explanation:
paid 10 dollars at first and then 6 every hour he rode
so let x represent the # of hour rented
6x+10=22
x=2hrs
Students at Springfield Middle school are planning to rooftop a garden.They plan to plant flowers in 18 beds,which is 30% of the total number of garden beds. What is the total number of garden beds in the students plans?
Answer:
60
Step-by-step explanation:
Since 30%/3 is 10%, 6 is 10% of the total number of garden beds, since 18/3 is 6.
And 10% times 10 is 100%, or all of it, so 60 is the total amount of garden beds, since 6 times 10 is 60.
60 garden beds in the students plans.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Present flower bed= 18
This is 30% of the total number of garden beds.
let the total flower bed be x.
So, 30% of x= 18
30/100 x = 18
x= 1800/ 30
x= 60
Hence, 60 garden beds in the students plans.
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Factor 1/10 out of 1/10x-7/10
Answer:
[tex]\large\boxed{\dfrac{1}{10}x-\dfrac{7}{10}=\dfrac{1}{10}(x-7)}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{10}x=\left(\dfrac{1}{10}\right)(x)\\\\\dfrac{7}{10}=\left(\dfrac{1}{10}\right)(7)\\\\\dfrac{1}{10}x-\dfrac{7}{10}=\left(\dfrac{1}{10}\right)(x)-\left(\dfrac{1}{10}\right)(7)=\left(\dfrac{1}{10}\right)(x-7)[/tex]
Jessica made 619 cups of punch. Her
punch had two different types of juice in
it. If the punch had 4 cups of one type of
juice, how many cups of the other type of
juice did it have?
Answer:
The cups of other type of juice is 615
Step-by-step explanation:
Given as :
The total cups of punch made by Jessica = 619
The two different types of juice is x and y
Let The one type of juice = x = 4
And According to question
x + y = 619
So, 4 + y = 619
Or, y = 619 - 4
∴ y = 615
Hence The cups of other type of juice is 615 . Answer
Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (
Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (If th
The number is -40
Step-by-step explanation:
Let x be the number that we have to find
Then according to the given statement
the square of the sum of the number and 5 is equal to 1225.
[tex](x+5)^2 = 1225[/tex]
Taking square root on both sides
[tex]\sqrt{(x+5)^2} = \sqrt{1225}\\x+5 = -35 and x+5 = -35\\[/tex]
Subtracting 4 from both sides
[tex]x+5-5 = 35-5\ and\\ x+5 = -35-5\\x = 30\ and\ x = -40[/tex]
As it is mentioned in the equation, that the number is a negative number
So,
x = -40
Keywords: Radicals, Linear equations
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Which expressions are equivalent to 36 y - 18 x - 108 y + 54 so that you correct answers
For this case we must find an expression equivalent to:
[tex]36y-18x-108y + 54[/tex]
We add similar terms:
[tex]36y-108y-18x + 54 =[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]-72y-18x + 54[/tex]
Thus, an equivalent expression is:
[tex]-72y-18x + 54\\-18x-72y + 54[/tex]
Answer:
[tex]-18x-72y + 54[/tex]
Final answer:
To find equivalent expressions, we combine like terms in the given expression 36y - 18x - 108y + 54.
Explanation:
To find expressions equivalent to 36y - 18x - 108y + 54, we can combine like terms.
First, combine the y terms: 36y - 108y = -72y.
Next, combine the x terms: -18x.
Combining the constants, we have: 54.
Putting it all together, the equivalent expression is: -18x - 72y + 54.
If f(x) = 2x + 25, then f(3) =
Answer:
31
Step-by-step explanation:
given f(x) = 2x + 25,
f(3) =2(3) + 25
= 6 + 25
= 31
Answer:
Step-by-step explanation:
Andy received a 25% discount on the book he bought at the book sale if he paid 17.40 what was the original price for the book
Answer:
$21.75
Step-by-step explanation:
Add 25% then subtract to get back to $17.40
A neighborhood garden is 3/4 acre in size. It is divided into plots that are each 1/8 acre. How many 1/8-acre plots are there in the neighborhood garden?
Use the models below to help you.
A. 1
B. 4
C. 6
D. 7
Answer:A
Step-by-step explanation:The answer is A because if you divide the numbers equally, then you will get 1
The number of 1/8-acre plots in a 3/4-acre garden is 6.
Explanation:The question is about dividing the total area of a garden into smaller plots and finding out how many plots there will be. Here, the total size of the garden is given as 3/4 acre and each plot is 1/8 acre in size. To find out how many 1/8-acre plots make 3/4 of an acre, we perform a division: 3/4 divided by 1/8. This is the same as multiplying 3/4 by the reciprocal (the 'flipped' fraction) of 1/8, which is 8/1. So, the calculation is 3/4 * 8/1 = 24/4 = 6. Therefore, there are 6 1/8-acre plots in a 3/4-acre garden.
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a polyhedron has 6 vertices and 9 edges how many faces
Answer: 5 faces
Step-by-step explanation:
The Euler's polyhedron formula states that:
number vertices - number of edges + number of faces = 2
That is :
6 - 9 + F = 2
-3 + f = 2
f = 2 + 3
f = 5
Therefore , it has 5 faces