how can you use mental math to determine if a ratio is simplified
Please help me fast pleaseeeee
What information is missing? A parking structure has 3 levels. there are 47 cars on the first level and 61 cars on the third how many cars are on the second level
9. what is the solution to
(4 x 10^3) x (6 x 10^6)
written in scientific notation?
A. 24 x 10^9
B. 2.4 x 10^9
C. 24 x 10^18
D. 2.4 x 10^10
Please I'm struggling please help
Answer:
D. 2.4 x 10^10
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Dea
Angela is competing in a dance competition. If dance move is done correctly, the dancer earns points. If a dance move is done incorrectly the dancer loses points. Angela currently has 200 points. Angela then loses 30 points and earns 70 points. Write and evaluate an expression to find Angela’s final score
Answer:
(200-30) + 70 =240
Step-by-step explanation:
Tina wants to use rope to decorate a rectangular picture frame. The frame measure 13 inches wide and 23 inches tall. Tina has 7 feet of rope. Does she have enough rope to go around its perimeter of the frame? Explain. Remember, 1 foot = 12 inches.
Tina has 7 feet of rope and the perimeter is __ feet. So, Tina ____ (Does not, Does) have enough rope.
When 12 is subtracted from 3 times a number, the result is 24. Find the number
Find the H.C.F of the following expression 39x^7y^3z and 91 x^5y^6z^z7
13x⁵y³z is the HCF of two given expressions.
What is the highest common factor?The HCF (Highest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The HCF or GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
The given expressions are 39x⁷y³z and 91x⁵y⁶z⁷.
Here, the numbers 39 and 91 divisible by 13.
The factor x⁵y³z can divide both the expressions
So, HCF of two given expressions is 13x⁵y³z
Therefore, the HCF is 13x⁵y³z.
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Tom has a can of paint that covers 37 1/2 square meters. Each board on the fence has an area of 3/16 square meters. How many boards can he paint?
An angle has a measure of 47 degrees. Find the measure of its supplement
Use the Greatest Common Factor and the Distributive property to express the sum as a product 20+35 18 + 27 64 + 40
To express sums as products, find the Greatest Common Factor (GCF) of each sum and factor it out, then use the Distributive Property to write the expression as a product.
Explanation:To express the sums 20+35, 18+27, and 64+40 as products using the Greatest Common Factor (GCF) and the Distributive Property, we need to find the GCF of each pair of numbers and factor it out.
For 20+35, the GCF is 5, so we can write it as 5(4+7).For 18+27, the GCF is 9, so we can write it as 9(2+3).For 64+40, the GCF is 8, so we can write it as 8(8+5).By applying the Distributive Property, we are effectively grouping the common factor outside of the parentheses and leaving the sum of the divided terms inside.
what are the answers??
A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.
A fossil is 254 millimeters long. How many meters long is the fossil? Enter your answer, as a decimal, in the box.
1mm = 0.001 meter
254 x 0.001 = 0.254 meters long
Math help plz!!!
There is an average of 3.5×10^−2 kilograms of dissolved salt in each liter of seawater. The South China Sea contains approximately 9.88×10^18 liters of seawater.
About how many kilograms of dissolved salt are in the South China Sea?
Enter your answer, in scientific notation, in the boxes.
__ x 10^__ kg
Please help and thank you!
Answer:
3.458 × 10¹⁷
Explanation:
We multiply the amount of salt per liter, 3.5×10⁻², by the amount of sea water in the South China Sea, 9.88×10¹⁸:
(3.5×10⁻²)(9.88×10¹⁸)
Multiplication is commutative; this means we can switch around the numbers we are multiplying:
(3.5×9.88)(10⁻²×10¹⁸)
Multiplying the numbers in the first set of parentheses, we have 34.58.
To multiply the powers of 10, we use the product property; it states that if we multiply powers that have the same base, we add their exponents:
10⁻²×10¹⁸ = 10⁻²⁺¹⁸ = 10¹⁶
This gives us 34.58 × 10¹⁶. In scientific notation, the decimal must be behind the first non-zero digit; this gives us 3.458. When we move the decimal again, we add 1 to the exponent; this gives us 3.458 × 10¹⁷
The kilograms of salt in the South China Sea is required.
The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]
The amount of salt in 1 liter of seawater is [tex]3.5\times 10^{-2}\ \text{kg}[/tex]
[tex]1\ \text{liter of seawater}=3.5\times 10^{-2}\ \text{kg of salt}[/tex]
The volume of seawater in the South China Sea is [tex]9.88\times 10^{18}\ \text{L}[/tex]
[tex]9.88\times 10^{18}\ \text{liters of seawater}=9.88\times 10^{18}\times 3.5\times 10^{-2}=3.458\times 10^{17}\ \text{kg}[/tex]
The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]
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sum of two numbers is 39. the greater number is 7 more than the smaller number. ( set up an equation )
x + y =39
x = y+7
y+7 +y = 39
2y +7 = 39
2y =32
y = 32/2 = 16
x = 16+7 = 23
If a bath measures 42 inches by 48 inches, what is the square footage of the bath?
Solve the question m/5= 5 what’s M
when jackson works more than 40 hours in a week , he earns 1.5 times his normal hourly rate for each of the extra hours. jackson worked 43 hours one week. what was his total pay before deductions? justify your answer.
Final answer:
To determine Jackson's total pay before deductions, we calculate his regular pay for 40 hours and his pay for the extra hours he worked.
Explanation:
To calculate Jackson's total pay before deductions, we need to determine his regular hourly rate and the number of extra hours he worked.
First, we need to calculate Jackson's regular pay for 40 hours. Let's say his regular hourly rate is $10. So, his regular pay for 40 hours would be $10 x 40 = $400.
Next, we need to calculate his pay for the extra 3 hours he worked. Since he earns 1.5 times his normal hourly rate for each extra hour, his pay for 3 extra hours would be 3 x ($10 x 1.5) = $45.
Therefore, Jackson's total pay before deductions for the week would be $400 (regular pay for 40 hours) + $45 (extra pay for 3 hours) = $445.
From Mason's house, it takes 10 1⁄2 hours to drive to Los Angeles. If Mason has already driven for 7 1⁄4 hours, how many hours remain until he reaches Los Angeles?
Mason has 3 1/4 hours of driving remaining to reach Los Angeles.
To calculate the remaining time Mason needs to drive to reach Los Angeles, we subtract the time he has already driven from the total travel time. Mason's total drive time to Los Angeles is 10 1/2 hours, and he has driven for 7 1/4 hours already.
Firstly, we convert the mixed fractions to improper fractions for easy subtraction:
Total drive time: 10 1/2 hours = (10 * 2 + 1) / 2 = 21/2 hours
Time driven: 7 1/4 hours = (7 * 4 + 1) / 4 = 29/4 hours
Now, let's subtract the time driven from the total drive time:
(21/2) - (29/4) hours = (42/4) - (29/4) hours = 13/4 hours
Converting the improper fraction back to a mixed number, we get:
13/4 hours = 3 1/4 hours
Therefore, Mason has 3 1/4 hours remaining until he reaches Los Angeles.
Add or subtract.write each sum or difference in simplest form.
11. 3/8 + 5/24
12. 1/20 + 5/12
13. 9/20 - 1/4
14. 9/10 - 3/14
15. 3 3/8 + 5/12
16. 5 7/10 - 5/18
What is the successor of the number 2012
Which value of c would make the following expression completely factored?
8x + cy
a. 2
b. 7
c. 12
d. 16
For c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
What is an expression?"It is a mathematical statement with a minimum two numbers or variables and at least one mathematical operation. "
For given example,
We have been given an expression 8x + cy
We need to find the value of c that would make the given expression completely factored.
For c = 2,
⇒ 8x + cy
= 8x + 2y
= 2(4x + y) ..............(Factor out common term)
This means c = 2 is not the required value.
For c = 12,
⇒ 8x + cy
= 8x + 12y
= 4(2x + 3y) ..............(Factor out common term)
This means c = 12 is not the required value.
For c = 16,
⇒ 8x + cy
= 8x + 16y
= 8(x + 2y) ..............(Factor out common term)
This means c = 16 is not the required value.
For c = 7,
⇒ 8x + cy
= 8x + 7y, which is completely factored
This means c = 7 is the required value of c.
Therefore, for c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
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Suppose that you have a data set containing 1000 tests scores. How many scores would you expect to find matching each description?
4. What is the equation of a line with a slope of 5 that passes through the point (4,2) ? Express this equation in all three forms: point-slope, slope-intercept, and standard.
The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the polygon?
The sum of the measures of the interior angles of a regular polygon, where the measure of an exterior angle is 15°, is 3960°.
Explanation:To answer your question about the sum of the measures of the interior angles of the regular polygon, we can use the formula for computing the sum of the measures of the interior angles of a regular polygon, which is (n-2) * 180 degrees, where 'n' is the number of sides in the polygon.
In a regular polygon, the measure of each exterior angle is equal to the total of 360° divided by the number of sides. Given that the measure of the exterior angle is 15°, we can find 'n' using the equation 360°/n = 15°, which gives us n=24.
Substituting n=24 in the formula for computing the sum of the interior angles, we get (24-2)*180 = 22*180 = 3960°. Hence, the sum of the measures of the interior angles of the polygon is 3960°.
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x^3 = 125 over 27 CAN I PLEASE GET HELP
rx + sx/t = 1
solve for x
An equation is formed of two equal expressions. The value of the x in the two equation is x=t/(r+s) and x=15m/(ab-cd).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.)
(rx + sx) / t = 1
Multiply both sides of the equating by t,
[(rx + sx)/ t] × t = 1 × t
rx + sx = t
Take x as the common factor from the left side of the equation,
x(r + s) = t
Divide both sides the sides of the equation by (r + s)
(r+s)x/(r+s) = t/ (r + s)
x = t/ (r + s)
B.)
abx - cdx = 15m
Take x as the common factor from left side of the equation,
x(ab - cd) = 15m
Divide both sides of the equation by (ab - cd)
(ab - cd)x / (ab - cd) = (15m)/(ab - cd)
x = 15m/(ab - cd)
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jose needs at least $95 to go on the class trip, he has saved $15 , he makes $20 for each lawn he mows . write an solved inequality to determine how many lawns jose needs to mow together .
Why do you subtract exponents when dividing powers with the same base?