The two numbers whose sum is 70 and has a difference of 24 is 23 and 47
Let
x = smaller number
y = Larger number
y + x = 70 (1)
y - x = 24 (2)
subtract (2) from (1) be to eliminate y
x - (-x) = 70 - 24
x + x = 46
2x = 46
x = 46 / 2
x = 23
substitute x = 23 into (1)
y + x = 70
y + 23 = 70
y = 70 - 23
y = 47
Therefore, two numbers whose sum is 70 and has a difference of 24 is 23 and 47
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Eric earned 60 points on his last tes t.If there were 75 points.what his precent grade.
What are the two representations of the conversion factor used to convert between inches and feet? Select all that apply.
A) 1 inch/12feet
B) 12 inches/1 foot
C) 1 foot/12 inches
D) 12feet/1 inch
what is the answer to the equation
(4 x 6) - 25 + 1
What is y + 8 = -(x - 1 in slope intercept form
5x6=90divided by something
Answer:
30
Step-by-step explanation:
5x6=30
Check our work:
90/30=30
what is 528 1/5 - 89 3/5
If you came home from a trip with 150 south african rand, 350 kuwaiti dinars and 200 japanese yen, how much would you have in u.s. dollars?
If you came home from a trip with 150 south african rand,
150 south african rand equal to i $10.44
350 kuwaiti dinars equal to $11149.8
and 200 japanese yen equal to $1.76
So get total amount we have to add these all together
Total amount in US dollar =$10.44 + $11149.8 + $1.76 =$1162
If you came home from a trip with 150 south african rand, 350 kuwaiti dinars and 200 japanese yen, we have $1162 in u.s. dollars
In this Exercise we want to calculate how much a trip to Africa will cost, so we have that is:
[tex]\$ 1162[/tex]
Organizing some information given in the statement we have that;
150 south african rand equal to i $10.44350 kuwaiti dinars equal to $11149.8200 japanese yen equal to $1.76So get total amount we have to add these all together:
[tex]TOTAL=10.44 + 11149.8 + 1.76 =1162[/tex]
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name all planes intersecting plane CHG
Answer:
b. CBA, CDI, FIH, BAF
Step-by-step explanation:
In the given figure of a cuboid. The total number of plans is 6.
These planes are, plane ADI, plane CBA, plane CDI, plane FIH, plane BAF and plane CHG. But in the cube plane ADI and plane CHG is parallel to each other, therefor they do not intersect each other and rest plane (other then plane ADI ) are not parallel to the plane CHG, so these planes intersect the plane CHG.
Hence we say that the plane CBA, Plane CDI, plane FIH and plane BAF are the intersecting plane of the plane CHG.
how many pounds are there in 2 3/4 tons (1 ton=2000 ponds).
Answer:
5500 hope you get it right
Step-by-step explanation:
3(6) minus negative2 divide by minus negative 1
Solve the inequality
-6x+7>19
Write a word phrase to represent the numerical expression 4+(27-10)
In linear equation ,the numerical expression would be four plus the difference of 27 and 10.
What are instances of linear equations?Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.given numerical expression = 4 + (27 - 10)
so,
4 + (27 - 10)
It should be the sum of 4 and a difference of 27 and 10
a word phrase that represented the numerical expression would be four plus the difference of 27 and 10.
4 + (27 - 10)
= 4 + 17
= 21
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Cups often come packaged in one tall stack. A certain cup is 4 inches tall. when one 4-inch cup is stacked in another, the two cups measure 4.5 inches tall. when 3 cups are stacked, they measure 5 inches tall. How many stacked 4-inch cups will fit in a bag that is 12 inches tall? in a bag that is n inches tall?
Which shows the following expression using positive exponents? a^3 b^-2/ ab^-4
He first term of a sequence is 2, and each subsequent term is the reciprocal of the square of the preceding term. what is the positive square root of the fifth term?
Or is it c. 10.96 or d 13.0 (sorry the rest couldn’t fit in the picture) please help me I don’t get it.
the description of a TV is based on the diagonal length. if the height of a TV is 10 inches and the width is 7 inches, what is the approximate diagonal length in inches?
The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
The approximate length of the diagonal is 12 inches.
What is Pythagorean theorem?The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
We have,
Height = 10 inches
Width = 7 inches
Height and width can be considered as the other two sides.
Now,
The diagonal length can be considered as the hypotenuse.
Now,
Diagonal² = 10² + 7²
Diagonal² = 100 + 49
Diagonal² = 149
Diagonal = √149
Diagonal = 12.206 inches
The approximate diagonal length will be 12 inches.
Thus the approximate length of the diagonal is 12 inches.
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fraction as a percent 1: 2\5=??? 2: 1\20=??? 3: 9\10=??? 4: 7\20=??
slice of pie cut at 72 degree many left
Part a: is x = 6 a solution of the equation 8x + 8 = 56? explain. Part b: Suppose the solution of the equation stays the same. How would the right side need to change if the solution is now x = 9?
52 thousandths in scientific notation
Answer:
[tex]5.2 \cdot 10^{-2}[/tex]
Step-by-step explanation:
we need to write 52 thousandths in scientific notation
thousandths is 1/1000
52 thousandths is 52 times 1/1000
[tex]52 \cdot \frac{1}{1000}[/tex]
[tex]\frac{52}{1000}[/tex]
0.052
Now to get the decimal in scientific notation , move the decimal point after the first number
[tex]5.2 \cdot 10^{-2}[/tex]
Bryan reads for x minuets. Kelly Reads for 1/4 the amount of time Brian reads.
Which statement explains 1/4x and 0.25x can each find the number of minuets jelly reads?
A. The fraction 1/4 is equivalent to the decimal 0.75 .there for 1/4 X can be written as 0.75X.
B. Multiplying by 1/4 is the same as multiplying by 25%.
C. The expressions are not equivalent.
D. Multiplying by four is the same as multiplying by 25%
Liability insurance covers bodily injury to others and any property damaged, including yours.
True
False
Liability insurance covers bodily injury to others and any property damaged, including yours. This statement is TRUE.
There are several types of liability insurance. Auto liability insurance covers the damages that you've created to someone else's car and bodily injury.
Final answer:
The statement is false because liability insurance does not cover the policyholder's property damage, but it does cover bodily injuries to others and damage to others' property. Personal property would require additional coverage, such as collision, comprehensive, or homeowner's insurance.
Explanation:
The statement 'Liability insurance covers bodily injury to others and any property damaged, including yours' is false. Liability insurance is primarily designed to cover bodily injury to others and property damage for which you are legally responsible. This includes, for instance, if someone is injured on your property, or if you are responsible for an accident that causes damage to another person's car or property. However, it does not cover your own property damage. For damage to your own property, you would need collision or comprehensive coverage as part of your automobile policy, or a homeowner's insurance policy with coverage for personal property.
Homeowner's insurance typically includes liability coverage to protect you if someone gets injured on your property, as well as various forms of property insurance against risks like fire, theft, and natural disasters, but it may exclude illegal activities. Car insurance also requires at a minimum liability coverage, and can have additional options such as uninsured motorist coverage, which protects you if the other driver is at fault and has no insurance.
Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?
Shayna can buy 9 cantaloupes with $21.
Explanation:To calculate how many cantaloupes Shayna can buy with $21, we need to find out the price of one cantaloupe. Since Gabriella bought three cantaloupes for $7, we can find the price of one cantaloupe by dividing $7 by 3. 7 divided by 3 is $2.33, rounded to the nearest cent. Now, to find out how many cantaloupes Shayna can buy, we need to divide $21 by $2.33. $21 divided by $2.33 is 9, with a remainder of $0.78. Since we can't buy part of a cantaloupe, Shayna can buy 9 cantaloupes.
Final answer:
The price per cantaloupe is $2.33. With $21, Shayna can buy approximately 9 cantaloupes.
Explanation:
To answer how many cantaloupes Shayna can buy with $21, we first need to determine the price of one cantaloupe from the information given. Gabriella bought three cantaloupes for $7. Therefore, the price per cantaloupe is $7 divided by 3 cantaloupes, which equals $2.33 per cantaloupe (rounded to two decimal places).
Next, we can calculate how many cantaloupes Shayna can buy with her $21 by dividing her total amount of money by the price of one cantaloupe. So $21 divided by $2.33 per cantaloupe equals approximately 9 cantaloupes (rounding down since you cannot buy a fraction of a cantaloupe).
The Earth's atmosphere consist of distinct layers. The troposphere starts at Earth's surface and extends upwards 6 to 20 kilometers. In this layer the temperature decreases with increasing altitude from approximately 17°C at Earth's surface to -51°C at the boundary with the next layer. By how many degrees Celsius does the temperature change in the troposphere?
The required change in temperature between the extreme layers of the troposphere is -68°C.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
The troposphere starts at Earth's surface and extends upwards 6 to 20 kilometers. In this layer, the temperature decreases with increasing altitude from approximately 17°C at Earth's surface to -51°C at the boundary with the next layer.
Change in the temperature = -51°C - 17°C = -68°C
Thus, the required change in temperature between the extreme layers of the troposphere is -68°C.
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which of the following is an example of theoretical probability?
There are 52 playing cards in a deck, and 4 of them are aces. The probability of turning over an ace is 4/52
B. Kenny rolled a number cube 9 times and got 4 even numbers. The probability of an even number is 4/9
C. Wendy flipped a coin 5 times, and the results were 4 tails. The probability of tails is 4/5
D. There were 73 people in a grocery store, and 45 of them bought milk. The probability of people buying milk is 45/73
Answer:
Option A and D are correct Option.
Step-by-step explanation:
Theoretical Probability: Probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.
that is [tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}[/tex]
Option A:
Number of favorable outcome = 4
Total number of outcome = 52
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{4}{52}[/tex]
Thus, This is an example of Theoretical Probability.
Option B:
Number of favorable outcome = [tex]^9C_4\times3^4\times3^5=2480058[/tex]
Total number of outcome = [tex]6^9=10077696[/tex]
Thus, This is not an example of Theoretical Probability.
Option C:
Number of favorable outcome = [tex]^5C_4=5[/tex]
Total number of outcome = [tex]2^5=32[/tex]
Thus, This is not an example of Theoretical Probability.
Option D:
Number of favorable outcome = [tex]45[/tex]
Total number of outcome = [tex]73[/tex]
[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{45}{73}[/tex]
Thus, This is an example of Theoretical Probability.
Therefore, Option A and D are correct Option.
How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution?
How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution?
15L
Each day Ernesto drives 52 miles. If he can drive 26 miles on one gallon of Gasoline, how many days can he drive on 14 gallons of gasoline?
A car travels 2 1/3 miles in 3 1/2 minuets at a constant speed
2 1/3 miles / 3 1/2 minutes
7/3 * 2/7 = 14/21 = 2/3 mile per minute
A) d = 2/3m
B)
2/3 mile per minute *60 minutes = 40 miles per hour
d=40h
I've never really understood these, can someone just help?