Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as [tex]\frac{1}{2}[/tex](n + 2).
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Solvew for n.
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Let's multiply each side by 2, to get rid of the fraction, [tex]\frac{1}{2}[/tex].
2 (n) = 2(5 + [tex]\frac{1}{2}[/tex](n + 2))
2n = 2* 5 + 2*([tex]\frac{1}{2}[/tex](n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14
Twice the sum of a number and 7
Answer:
2 · (n + 7)Step-by-step explanation:
The sum of a number n and 7 → n + 7
Twice the sum of a number n and 7 → 2 · (n + 7)
What the answer to number 3 is
Answer:
is proof an option?
Step-by-step explanation:
Select Not independent or Independent for each situation.
- A jar contains green marbles and orange marbles. A green marble is selected followed by an orange marble, at random, without replacement.
- A coin is flipped three times.
- A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement.
- A number cube is rolled twice.
"Not independent" means that the situation is dependent. It is not relying on something else, or something else will not change the outcome. Independent means the situation is isolated, it is independent.
A jar contains green marbles and orange marbles. A green marble is selected followed by an orange marble, at random, without replacement.
Not independent
-> Since the marbles are not being replaced, this isn't independent
A coin is flipped three times.
Independent
A bag contains nickels and dimes. A nickel is selected followed by a dime, at random, with replacement.
Independent
-> Because there is replacement, this is independent
A number cube is rolled twice.
Independent
A bag contains five Snickers bars, nine Milky Way bars, two Crunch bars,
and twelve Twix bars. If Jack randomly selects a candy bar, eats it, then
randomly selects another, find the probability that both candy bars were
Milky Way.
Answer:
about a 9.5 percent chance of both being a milky way
Step-by-step explanation:
Probability that both candy bars were milky way is [tex]\frac{2}{21}[/tex]
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur
Given,
Number of snickers bars = 5
Number of Milky way bars =9
Number of crunch bars = 2
Number of Twix bars = 12
Total number of Candy bars = 5+9+2+12 =28
If Jack randomly selects a candy bar, eats it, then randomly selects another
Probability = Number of favorable outcome / Number of total outcome
Probability of taking Milky way bar in first pick = [tex]\frac{9}{28}[/tex]
So Total number of candy bars and number of Milky way bar are decreased by 1.
Probability of taking Milky way bar in second pick = [tex]\frac{8}{27}[/tex]
Probability that both candy bars were milky way = [tex](\frac{9}{28}).(\frac{8}{27})=\frac{2}{21}[/tex]
Hence, Probability that both candy bars were milky way is [tex]\frac{2}{21}[/tex]
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What is the y-intercept of the function f(x) = -2/9x + 1/3
Answer:
1/3
Step-by-step explanation:
It’s in the form y=mx+b
b is the y intercept
mrs. hughes has 1/4 of a pan of spaghetti left over. She brought it to school and the 6 fifth grade teachers shred it what fraction of the pan of spaghetti did each teacher get?
A scoop of ice cream in the shape of a whole sphere sits in a right cone. The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm. a. What is the volume of the scoop of ice cream? Show all your work. b. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? Show all your work.
Please help me
Answer:
a. 462
b. 49
Step-by-step explanation:
take pie as 22/7
a. volume= π r² h/3
22/7 × 3² × h/3
22/7 × 3 × h
22/7×3
cross multiply
462
b. h= 3 × v/π r²
3 × 462 over 22/7 × 3²
multiply each term by 7
7×3×7×462over22/7×3²
21×462over22×3²
21/1×462/198
= 9702/198
= 49
Factor the trinomial.
x² - 2- 8
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Come up with an example of a game other than chess that uses the concept coordinate plane. Explain how the game uses a coordinate plane.
Answer:
Draughts
Step-by-step explanation:
It still counts
Which statement is false?
0.8 = 3/5
2/3 > 0.34
2.375 > 2 1/4
3 8/11 < 3 12/13
Answer:
Step-by-step explanation:
0.8 = 3/5
3/5 = 6/10 = .6
FALSE
2/3 > 0.34
2/3 = .333333...
FALSE
2.375 > 2 1/4
2 1/4 = 2.25
TRUE
3 8/11 < 3 12/13
3 8/11 = 3.727272
3 12/13 = 3.9231
TRUE
Which expression represents the product of
64 and x?
A. 64-X
B. 64 + x
C. 64x
D. 64/x
About 20% of earths fresh water is stored in cracks and pores as _______.
Answer:
groundwater
Step-by-step explanation:
A net has a square at the center and 4 triangles on the sides. The square has side lengths of 2 yards. The triangles have a base of 2 yards and height of 3 yards.
What is the surface area of the square pyramid?
The surface area is
yd2.
Answer:
16 yd²
Step-by-step explanation:
The total surface area is the sum of the area of the square base and the 4 triangular sides.
SA = s² + 4 × bh/2
SA = (2 yd)² + 4 × (2 yd)(3 yd)/2
SA = 4 yd² + 12 yd²
SA = 16 yd²
Answer:
16
Step-by-step explanation:
help pls? show work!!
Answer:
x = 19; y = 19√3
Step-by-step explanation:
sin 30° = opp/hyp
sin 30° = x/38
x = 38 × sin 30°
x = 19
cos 30° = adj/hyp
cos 30° = y/38
y = 38 × cos 30°
y = 38 × √3/2
y = 19√3
can you multiply whole number by a number with a variable?
Answer: Definitely Yes.
Step-by-step explanation:
Answer: YES, YOU CAN
Step-by-step explanation:
Solve for r in terms of q, s, and t
T=r-q+s
R=
Answer:
r = t + q - s
Step-by-step explanation:
t = r - q + s
goal is to isolate the variable
add q to both sides (this cancels the q out on the right side)
t + q = r - q + q + s
t + q = r + s
subtract s from both sides
t + q - s = r + s - s
t + q - s = r
In other words:
r = t + q - s
In the picture at right, lines l and m are parallel. The measure of angle
Answer:
Angle APB is 95∘
Step-by-step explanation:
180 - 54 = 126
126 - 31 = 95
Answer:
145 Degree
Step-by-step explanation:
it is a reflex angle and all reflex angle measures at 145 Degrees
Joy decided to ride her bike to visit her friend, Three miles from home her bike got a flat tire and she had to walk the remaining two miles to Justin's home. She could not repair the tire and had to walk all the way home. How many miles did Joy walk than she rode? They got the answer 4 but I am not sure how?
Answer:
4
Step-by-step explanation:
okay, so she rode 3 miles. Keep that aside
Then she had 2 walk the remaining 2 miles
She had to walk all the way home. So say for example instead of riding she walked 3 miles, then she walked that additional 2 miles. So, 5 miles. Then add the two miles she had to walk to his house. so, she walked 7 miles and rode 3 miles. 7-3= 4 miles. I attached a picture that should hopefully explain it better.
Hope this helps!
I need help please
Answer:
C
Step-by-step explanation:
A. 3:7 is not equal to 5:14 because both of these options are in their lowest value and are not equal.
B. 8:6 is not equal to 6:8 because 8 is not equal to 6 and 6 is not equal to 8.
C. 1:4 is equal to 5:20 because 1:4 can be multiplied by 5 to be 5:20 and 5:20 is equal to 5:20.
D. 5:3 is not equal to 12:5 because 5 is not equal to 12 and 3 is not equal to 15.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What is the slope of the line passing through the points (4, -3) and (1, -3)? *
Answer:
[tex]\huge\boxed{\sf Slope = 0}[/tex]
Step-by-step explanation:
[tex]\sf Slope = \frac{rise}{run} \\\\Slope = \frac{y2-y1}{x2-x1} \\\\Given\ the\ coordinates\ (4,-3) \ and \ (1,-3)\\\\ x1 = 4 ,\ y1 = -3 ,\ x2 = 1 ,\ y 2 = -3\\\\So,\\\\Slope = \frac{-3-(-3)}{1-4} \\\\Slope = \frac{0}{-3} \\\\Slope = 0\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Which number line represents the solution set for the inequality 3x < -9?
Answer:
i think 5 might be the correct answer
Step-by-step explanation:
Answer:
the third option or c
Step-by-step explanation:
hope this helps!
pls answer this correctly I need it now!
Answer:
1. C
2. B
3. D
4. A
Step-by-step explanation:
1. As mentioned in the last sentence of the passage, the main goal of the problem is to figure out how long it took John to get ready.
2/3/4. The goal is to find the amount of time John took to get ready and to obtain that time you need to use 6:10-5:30=n. After solving the number sentence, you should get 40 minutes.
A triangle has an area of 66 in2. If the base is 11 inches, what is the height?
[tex] \Large{\boxed{\sf Height = 12 \ in}} [/tex]
[tex] \\ [/tex]
Explanation:The area of a triangle is given by the following formula:
[tex] \\ [/tex]
[tex] \left[ \begin{array}{c c c} \underline{\tt Area \ of \ a \ triangle \text{:}} \\ ~ \\ \tt A = \dfrac{B \cdot H}{2} \end{array} \right] [/tex]
Where:
A is the area of the triangle.B is the base.H is the height.[tex] \\ [/tex]
[tex] \Large{\boxed{\sf Given \text{:} } \ \begin{cases} \sf A &=\sf 66 \ in^2 \\ \sf B &=\sf 11 \ in \end{cases} } [/tex]
[tex] \\ [/tex]
Substitute these values into the formula and solve for H.
[tex] \sf A = \dfrac{B \cdot H}{2} \\ \\ \\ \longrightarrow \sf 66 \ in^2 = \dfrac{11 \ in \cdot H}{2} [/tex]
[tex] \\ [/tex]
Multiply both sides by 2:
[tex] \longrightarrow \sf 66 \ in^2 \cdot 2 = \dfrac{11 \ in \cdot H}{2} \cdot 2 \\ \\ \\ \longrightarrow \sf 132 \ in^2 = 11 \ in \cdot H [/tex]
[tex] \\ [/tex]
Divide both sides by 11in :
[tex] \longrightarrow \sf \dfrac{132 \ in^2 }{11 \ in } = H \\ \\ \\ \longrightarrow \boxed{\boxed{\sf H = 12 \ in}} [/tex]
[tex] \\ [/tex]
[tex] \hrulfill [/tex]
[tex] \\ [/tex]
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A triangle has an area of 66 in². If the base is 11 inches, what is the height?
Answer:The height of the triangle is 12 inches.
Step-by-step explanation:As per the provided information in the given problem, we know that the area of a triangle is given by 66 inches². The base of the triangle is given by 11 inches. In this problem, we are tasked to find the height of the triangle.
To do this, we will use the formula below:
[tex]\Large\begin{aligned}\rm\qquad\dashrightarrow{Area_{(Triangle)} = \dfrac{1}{2}bh}\end{aligned}[/tex]
Where:
The base is denoted as b.The height is denoted as h.Substitute the given values into the formula given earlier and solve for h:
[tex]\Large\begin{aligned}\rm\dashrightarrow{Area_{(Triangle)}}& = \rm{\dfrac{1}{2}bh}\\\rm\dashrightarrow{66\: in^2}& = \rm{0.5(11\: in)(h)} \\\rm\dashrightarrow{66\: in^2}& = \rm{(5.5\: in)(h)} \\\rm\dashrightarrow{\dfrac{66\: in^{\cancel{2}}}{5.5\: \cancel{in}}}& = \rm{\dfrac{(\cancel{5.5\: in})(h)}{\cancel{5.5\: in}}} \\\rm\dashrightarrow{12\: in}& = \rm{h}\end{aligned}[/tex]
Hence, the height of the triangle is 12 inches.
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A rectangular prism has a length of 412 centimeters, a width of 412 centimeters, and a height of 6 centimeters. Sally has a storage container for the prism that has a volume of 143 cubic centimeters.
What is the difference between the volume of the prism and the volume of the storage container?
Enter your answer in the box as a simplified mixed number or a decimal.
cm³
Answer: First find the volume of the rectangle prism. Do this by multiplying all three dimensions. 412 x 412 x 6 = 1,018,464.
Subtract 1,018,464 from 143.
You should get 1,018,321 mm^3
(Remember that the units are cubed because you multipled 412 mm x 412 mm x 6 mm which is multiplying not only the numbers, but the mm three times as well.)
Step-by-step explanation: hope it's helpful and thank you for letting me answer
Regina currently makes $15 an hour. Her boss decided to give her a 7% raise. Write the expression she would use to determine how much more she will make per hour.
Answer:
[tex]\frac{7\times15}{100}[/tex]
Step-by-step explanation:
Given the following question:
7% of 15
To find the answer we need to use the formula to calculate percentages in which we multiply the percentage by the whole number and then divide that answer by 100, of course rounding to the nearest cent if needed.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{7\times15}{100}[/tex]
[tex]7\times15=105[/tex]
[tex]105\div=1.05[/tex]
[tex]=1.05[/tex]
7% of 15 is "1.05" which means Regina receives a $1.05 raise.
Hope this helps.
A block measures 8 cm x 5 cm x 4 cm. On which face will it exert the least pressure? Explain how you know.
Answer 4 cm because least
Step-by-step explanation:
because it is the leats so that is ir.
How do signs of factors affect their product?
Answer:
If a negative number is multiplied with a positive number, the result will be negative. If two positive numbers are multiplied, the result will be positive. If two negative numbers are multiplied, the result will also be positive.
Step-by-step explanation:
What is the median of the data displayed in this box-and-whisker plot?
84.0
99.5
113.0
143.0
Answer: 113
Step-by-step explanation:
The median is the dot with the line through it in the middle of the box: so it is 113
If the perimeter in the rectangle.is 18 inches, find the length of the sideshow
Answer:
5 inches and 4 inches
Step-by-step explanation:
The perimeter is equal to 2(2x + 1) + 2(x + 2) since there are two sides of the rectangle equal to the expressions given.
Since we also know that the perimeter is 18 inches, we can set that equal to 18.
2(2x + 1) + 2(x + 2) = 18
4x + 2 + 2x + 4 = 18
6x + 6 = 18
6x = 12
x = 2
After plugging 2 back into 2x + 1 and x + 2, you get 5 and 4. Hope this helped!
PLEASE HELP
Which term represents the stage when the cytoplasm of a cell divides?
Cytokinesis
Interphase
Mitosis
Prophase
Answer: Cytokinesis
Step-by-step explanation:
Hope this helped :)
Answer:
Try Cytokinesis
Step-by-step explanation:
This might help!