Find (7 × 10^5) + (2 × 10^3).
A) 7.002 × 10^3
B) 7.002 × 10^5
C) 7.02 × 10^3
D) 7.02 × 10^5
To solve (7 × 10^5) + (2 × 10^3), you add the numbers in expanded form (700,000 + 2,000 = 702,000) and then convert to scientific notation (7.02 × 10^5). The correct answer is 7.02 × 10^5.
Explanation:To find the sum of (7 × 10^5) and (2 × 10^3), you first write out these numbers in their expanded form:
7 × 10^5 = 700,0002 × 10^3 = 2,000Adding the two numbers:
700,000 + 2,000 = 702,000
Now, we need to convert 702,000 back into proper scientific notation. To do this:
Find the first non-zero digit from the left, which is 7.Write it down, followed by a decimal point and the rest of the significant figures, which results in 7.02.Count the number of places the decimal point was moved to the left, which is 5. This is the exponent of 10 needed.Therefore, 702,000 is 7.02 × 10^5 in scientific notation, which makes the correct answer:
(7 × 10^5) + (2 × 10^3) = 7.02 × 10^5,
so the correct choice is D) 7.02 × 10^5.
if you know 8×10=80, what other related multiplication fact do you know?
Which is the best definition of a quadrilateral?
A.
a 4-sided polygon with no equal sides
B.
a parallelogram with no equal sides
C.
a 4-sided polygon
D.
a parallelogram with 2 pairs of equal angles
How does alternate freezing and thawing of water cause weathering to occur?
How does alternate freezing and thawing of water cause weathering to occur? Freezing chemically alters the rock surfaces Water expands when it freezes and cracks rocks open Thawing causes rock particles to move from place to place. User is waiting for your help.
The number z and −1.9 are additive inverses.
Drag and drop −1.9 and z to their correct positions on the number line.
Drag and drop the label “Sum” to the sum of −1.9 and z.
For z and -1.9 to be additive inverses, they must sum up to zero. Consequently, z should be 1.9, and both -1.9 and z (=1.9) placed on a number line would reflect their locations relative to zero. The sum of -1.9 and 1.9 would equal zero.
Explanation:In Mathematics, additive inverses are two numbers that add up to give zero. If the numbers z and -1.9 are additive inverses, this means that when added together, they produce the sum of zero. Therefore, z should be the opposite of -1.9, 1.9 on the number line.
The number -1.9 would appear on the left-hand side of the zero because it is a negative number. The number z (=1.9) would appear on the right-hand side of the zero because it's positive. According to the definition of additive inverses, the sum of these two numbers (-1.9 and 1.9) would be zero. So, 'Sum' would also be zero on the number line.
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David took his family out for dinner. He planned to leave a 20% gratuity on the bill. What is the total cost if the bill was $125.00?
Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?
a reflection over the y-axis and a translation 4 units up
a reflection over the y-axis and a translation 4 units down
a reflection over the x-axis and a translation 4 units up
a reflection over the x-axis and a translation 4 units down
Answer:
(c) a reflection over the x-axis and a translation 4 units down
Step-by-step explanation:
I took a quiz with this question :) Happy Halloween
can anyone get this answer
PLZ HELP NOWWWWWW!!!!!!(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
Answer: 5 units.
Step-by-step explanation:
Given : Line segment EF has a length of 5 units. (1)
It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
We know that a translation is a rigid transformation that produces images by moving it by some distance in a particular direction . It preserves the shape and the side-length of the figure.
Thus, The length of E'F'=EF [∵E'F' is the image produced after translation of EF]
⇒ Length of E'F'= 5 units. [From (1)]
One integer is eight less than another integer. The sum of the two integers is fifty. What are the integers?
Answer:
x+x-8=50
2x=58
x=29
x=21
Step-by-step explanation:
x+x-8=50
2x=58
x=29
x=21
hope this helps have an amazing day :)
If y=x+5 were changed to y=x+9 how would the graph of the new function compare with the first one
what is 6 to the negative 1 times (-2) to the third power times (-4) to the negative 2
Jaime wrote 4.4 - 0.33 = 1.1. Is his answer reasonable? Why or why not ( PLEASE HELP ME )
Your football team gained 4 yards on first down and 2 yards on second down during its last possession. Which number is the additive inverse of the yards gained?
Final answer:
The additive inverse of 6 yards (4 yards on first down and 2 yards on second down) is -6 yards. A yard is a unit of length equal to 3 feet and is an SI Base Unit standard used in football.
Explanation:
The student is asking about the additive inverse of the yards gained in a football game. The additive inverse of a number is a number that, when added to the original number, will result in zero. In this case, the football team gained 4 yards on first down and 2 yards on second down, making a total of 4 + 2 = 6 yards. Therefore, the additive inverse of 6 yards is -6 yards because 6 + (-6) equals zero.
When considering SI Base Units, a yard is a unit of length equal to 3 feet. This is a predefined standard used internationally, and especially relevant in football, where moving the ball 10 yards results in a first down. This standardization ensures clarity and uniformity in the game, regardless of the location.
if b is between a and c find the value if x and bc when ab=3x bc=5x and ac=8
The value of x is 1, and the length of segment BC is 5 units.
If point B is between points A and C, then we can use the segment addition postulate to relate the lengths of segments AB, BC, and AC.
According to the segment addition postulate, the sum of the lengths of two segments that form a larger segment is equal to the length of the larger segment. In this case, we have:
AB + BC = AC
We're given that AB = 3x, BC = 5x, and AC = 8. Substituting these values into the equation:
3x + 5x = 8
Combine like terms:
8x = 8
Now, divide both sides by 8 to solve for x:
x = 8 / 8
x = 1
So, x is equal to 1.
Now that we know the value of x, we can find the length of segment BC:
BC = 5x
BC = 5 * 1
BC = 5
for such more question on length
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use distribution property in reverse to factor out the common term
5x+5
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
The gas mileage of Ms. Gonzalez's car is 48 miles per gallon. Therefore, the correct answer is B. 48 miles per gallon.
To find the gas mileage of Ms. Gonzalez's car, we divide the total distance travelled by the amount of gas consumed.
Given:
- Total distance travelled = 420 miles
- Amount of gas consumed = 8 3/4 gallons
To find the gas mileage, we divide the total distance by the amount of gas:
[tex]\[ \text{Gas mileage} = \frac{\text{Total distance}}{\text{Amount of gas consumed}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420}{8 \frac{3}{4}} \][/tex]
To divide by a mixed number, we first convert it to an improper fraction:
[tex]\[ 8 \frac{3}{4} = \frac{(8 \times 4) + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4} \][/tex]
Now, we can perform the division:
[tex]\[ \text{Gas mileage} = \frac{420}{\frac{35}{4}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420 \times 4}{35} = \frac{1680}{35} \][/tex]
[tex]\[ \text{Gas mileage} = 48 \text{ miles per gallon} \][/tex]
Rounded to the nearest mile per gallon, the gas mileage is 48 miles per gallon.
So the correct answer is: B. 48 miles per gallon.
Complete Correct Question:
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
A. 43 miles per gallon
B. 48 miles per gallon
C. 49 miles per gallon
D. 50 miles per gallon
35 birds to 45 birds?
(12x-32) factored using GCF
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
x=4_____________________________________________________________________________________________________
2 more than k is greater than -3 as an inequality
the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]
To translate the phrase "2 more than k is greater than -3" into an inequality, we can follow these steps:
1. Identify the expression "2 more than k."
2. Write the expression as an inequality where it is greater than -3.
Step 1: "2 more than k" translates to (k + 2).
Step 2: Since "2 more than k" is greater than -3, we write the inequality:
[tex]\[ k + 2 > -3 \][/tex]
So, the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]
The sum of three numbers is 87. The third number is 2 times the second. The first number is 7 more that the second. What are the numbers?
A total of 8,644 people went a football game 5,100 sat on the home side rest sat on visitors side if people on visitors side filled 8 equal sections how many people sat in each sections
Answer: 443 each row
Step-by-step explanation:its simple u can find out how many people sat on the vistor side (which was 3544) and divide that by 8 sfn u get ur answer think about it next time bud!
Which of the following best describes the US government?
A. Executive rule
B. Representative democracy
C. Direct democracy
D. Dictatorship
A fruit basket contains oranges and grapefruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket?
Please help!
Find the unknown side length for the triangle.
Area = 18 ft²
A. 1.5 ft
B. 3 ft
C. 6 ft
D. 9 ft
What integer represents a gain of 8 yd
Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you can make so that there are equal numbers of bananas in equal number of apples in each fruit basket how many bananas and apples will be in each fruit basket
What is the multiplier for 3/10=15/50
The multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The fraction is 3/10
And the fraction of 3/10 is equivalent to the 15/50
3/10 = 15/50
On the left side multiply by 5 on the numerator and denominator.
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
= (3/10)(5/5)
= 15/50
Thus, the multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
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the manager of a store specializes in selling tea decides to experiment with a new blend. She will mix some Earl Green tea that sells for $4 per pound with some orange pekoe that sells for $2 per pound to get 400 pounds of the new blend. The selling price of the new blend in $3.50 per pound and there is to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of tge earl grey tea and orange pekoe tea are required
Final answer:
To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, set up a system of equations based on the given information. Solve the equations to find the values of x and y.
Explanation:
To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, we can set up a system of equations based on the given information.
Let x be the number of pounds of Earl Grey tea, and let y be the number of pounds of Orange Pekoe tea.
We know that the selling price of the new blend is $3.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types.
This means that the revenue from selling the Earl Grey tea and Orange Pekoe tea separately should be the same as the revenue from selling the new blend.
The revenue from selling the Earl Grey tea is 4x, and the revenue from selling the Orange Pekoe tea is 2y. So we have the equation 4x + 2y = 3.50 ×400.
We also know that the total weight of the new blend is 400 pounds, so we have the equation x + y = 400.
We can solve these two equations to find the values of x and y.