Answer:
\(1.b \\ 2. c\\ 3. c\\ 4. a\\ 5. b\\ \)
Step-by-step explanation:
.
Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.
Answer: He should have 12 lemons left
Step-by-step explanation:
A line has a slope of 5/6
and passes through the point (7,6). Write its equation in slope-intercept form.
Answer:
y = 5/6x + 1/6
Step-by-step explanation:
m = 5/6, x = 7, y = 6
y = mx + b
6 = 5/6(7) + b
b = 6 - 35/6
b = 36/6 - 35/6 = 1/6
y = 5/6x + 1/6
Answer:
Below
Step-by-step explanation:
Here is another way:
Start with point ( 7,6) slope ( m= 5/6) form :
(y-6) = 5/6 ( x-7) expand
y-6 = 5/6 x - 35/6 add 6 to both sides
y = 5/6 x + 1/6 Done.
A self-storage center has many storage rooms that are 6 ft wide, 10 feet deep, and 12 ft high. What is the volume of the room?
The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet
The dimensions are given as:
\(Width = 6ft\)
\(Depth = 10ft\)
\(Height = 12ft\)
The volume of the storage room is the product of the dimensions.
So, we have:
\(Volume= Width \times Depth \times Height\)
Substitute values for Width, Depth and Height
\(Volume= 6ft \times 10ft \times 12ft\)
Multiply the dimensions
\(Volume= 720ft^3\)
Hence, the volume of the storage room is 720 cubic feet
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Find the least common multiple of $6!$ and $(4!)^2.$
Answer:
The least common multiple of $6!$ and $(4!)^2.$
is 6×4! or 144
What is the boiling temperature of water in the U.S. customary system?
Answer:
212 degrees Fahrenheit (100 degrees Celsius)
Step-by-step explanation:
not really sure how to do this stuff
Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =
Answer:
Step-by-step explanation:
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
What is the value of – 15 – 9 + (– 7)?
Answer: the value of – 15 – 9 + (– 7) is -31
Step-by-step explanation:
-15-9=-24
-24+(-7)=-31
Answer: I
believe it is -31
Step-by-step explanation:
calculator
Which is taller a 180.433 inch mountain or 3,476 yard mountain
Answer:
I would say a yard mountain, I think?
Step-by-step explanation:
Solve y + 2∕7 < 1∕3.
Question 8 options:
A)
y > 13∕21
B)
y < 13∕21
C)
y < 1∕21
D)
y > –1∕21
Answer:
the answer is C y<1/21
Step-by-step explanation:
sorry if I did it wrong
Answer:
C) y< 1/21
Step-by-step explanation:
y+ 2/7 < 1/3
Subtract 2/7 from both sides.
y< 1/21
9x + 3 – 7x + 4
Help me out please?
Answer: The answer is 2x + 7.
Explanation: First, we need to add the numbers:
9x + 3 – 7x + 4
9x + 7 - 7x
And finally, we combine like terms:
9x + 7 - 7x
2x + 7
What is the inverse of each statement below: Be sure to label your
answers as a, b, c, and d.
a.) Add 25
b.) Divide -18
c.) Subtract 3
d.) Multiply 14
The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.
What is the inverse of maths tools?Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.
For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.
Therefore, a) The inverse of “Add 25” would be “Subtract 25.”What is the b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”
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What is 3/11 simplified
Question is in the picture, please explain how you got your answer with steps.
The solution to the equation in this problem is given as follows:
x = 7.
How to solve the equation?The equation in the context of this problem is defined as follows:
7x - 15x - 16 = -72.
Then we combine the like terms, as follows:
-8x = -72 + 16
-8x = -56
8x = 56.
Then we apply the division operation to obtain the value of x as follows:
x = 56/8
x = 7.
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Estimate:
20 is 22% of what number?
Answer:
90.9091 yeah I'm pretty sure
The number 20 is 22% of 90.91.
Percentage is a way of expressing a portion or fraction of a whole as a proportion of 100. It is denoted by the symbol "%". Percentages are commonly used to compare relative values, express ratios, or represent portions of a whole.
To estimate the number that 20 is approximately 22% of, we can set up the equation:
0.22 x = 20
Here, x represents the unknown number we are trying to estimate.
To estimate x, we can divide 20 by 0.22:
x ≈ 20 / 0.22
x ≈ 90.91
Therefore, 20 is 22% of 90.91.
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please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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Find the space inside a rectangle with a width of 10 and a length of 10
Answer:
100
Step-by-step explanation:
The space inside a rectangle is the area of the rectangle.
The Area of a rectangle is length times width.
10*10=100
Answer:
100
Step-by-step explanation:
Which investment option made the most money after 10 years?
Which option yielded the most total money by the time you were 60 years old?
Option 3 yielded the most money after 10 years is 171.7
Option 1 yielded the most total money by the time you were 60 years old is 8,771.56
Define the term solution of equation?A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.
Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.
After 10 years:
Option 1: 50×(1.09)¹⁰ - 30 = 88.36
Option 2: 50×(1.08)¹⁰ - 20 = 87.94
Option 3: 100×(1.07)¹⁰ - 25 = 171.71
Therefore, Option 3 yielded the most money after 10 years is 171.7
By the time you were 60 years old:
Option 1: 50×(1.09)⁶⁰ - 30 = 8,771.56
Option 2: 50×(1.08)⁶⁰ - 20 = 5,042.85
Option 3: 100×(1.07)⁶⁰ - 25 = 5,769.64
Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56
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A triangle has a base of x^1/2
m and a height of x^1/3 m. If the area of the triangle is 16 m². what are the base and height of the triangle?
Answer:
Base = 8 m
Height = 4 m
Step-by-step explanation:
Area of triangle
\( = \frac{1}{2} \times base \times height \\ \\ 16 \times 2= {x}^{ \frac{1}{2} } \times {x}^{ \frac{1}{3} } \\ \\ 32 = {x}^{ \frac{5}{6} } \\ \\ {2}^{5} = {x}^{ \frac{5}{6} } \\ \\ ({2}^{2})^{ \frac{6}{5} } = x \\ \\ x = {2}^{5 \times \frac{6}{5} } \\ \\ x = {2}^{6} \\ \\ base = {x}^{ \frac{1}{2} } = {({2}^{6})}^{ \frac{1}{2} } \\ \\ base = {2}^{3} \\ \\ base = 8 \: m \\ \\ \\ height = {x}^{ \frac{1}{3} } = {({2}^{6})}^{ \frac{1}{3} } \\ \\ height= {2}^{2} \\ \\ height = 4 \: m\)
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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Using the logarithm, solve the following equation for x.
6400 = (8) (2^4x)
Answer:
x = 2.411
Step-by-step explanation:
6400 = (8) (2^(4x))
Divide both sides by 8 to get;
6400/8 = (2^(4x))
800 = (2^(4x))
Using logarithms, we can solve as;
Log 800 = 4xLog 2
4x = Log800/Log2
4x = 2.9031/0.3010
4x = 9.6449
x = 9.6449/4
x ≈ 2.411
I will mark you brainiest!
Opposite sides are parallel
Which of the following is correct? May be more than one answer for the question
rhombus
rectangle
square
parallelogram
Answer:
rectangle
square
parallelogram
Step-by-step explanation:
Answer:
rhombus
rectangle
square
parallelogram
Step-by-step explanation:
In all of these quadrilaterals, both pairs of opposite sides are parallel.
rhombus
rectangle
square
parallelogram
find the indicated unknown angle measure.
Answer:
138 degrees
Step-by-step explanation:
Angle b and the 42 degree angle right next to it are supplementary angles. That means that 42+b=180
b=138
uppose a large telephone manufacturer has a problem with excessive customer complaints and consequent returns of the phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many telephones should be sampled and checked in order to estimate the proportion defective to within 4 percentage points with 83% confidence
Answer:
The answer is "294.2075".
Step-by-step explanation:
Given:
\(\hat{p} = 0.5 \\\\1 - \hat{p} = 1 - 0.5 = 0.5\\\\E = 4\% = 0.04\\\\\)
At \(83\%\) confidence level the z is ,
\(\alpha = 1 - 83\% = 1 - 0.83 = 0.17\\\\\frac{\alpha}{2} = \frac{0.17}{2} = 0.085\\\\Z_{\frac{\alpha}{2}} = Z_{0.085} = 1.3722\\\\n = (\frac{Z_{\frac{\alpha}{2}}}{E})^2 \times \hat{p} \times (1 - \hat{p})\\\\\)
\(= (\frac{1.3722}{0.04})^2 \times 0.5 \times 0.5\\\\= (34.305)^2 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.25\\\\=294.2075\)
find the Pythagorean triplets of 5
Answer:
The Pythagorean Triplet that has 5 is 3-4-5
Step-by-step explanation:
We can prove this using Pythagorean Theorem: a² + b² = c²
3² + 4² = 5²
9 + 16 = 25
25 = 25
HELLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A college is hosting an invention camp for middle school students. One of the 1,200 students who attend will receive a laptop at the
end of the camp. The college wants to place notecards labeled with each student's name in a bin and draw a winner from the bin. The
bin will hold only 200 notecards though.
Which method assures both that the college can use the bin for the drawing and that each student has a fair chance of winning?
Place notecards labeled with the names of the oldest 200 students into the bin. Randomly select the winner from the bin.
O Place notecards labeled with the names of the first 200 students who registered for the camp into the bin. Randomly
select the winner from the bin.
Randomly assign the 1,200 students to 10 equal-sized groups. Then randomly select 4 of the groups and place their
names in the bin. Randomly select the winner from the bin.
Randomly assign the 1,200 students to 6 equal-sized groups. Then select one of the groups and place their names in the
bin. Randomly select the winner from the bin.
Answer: Randomly assign the 1,200 students to 6 equal-sized groups. Then select one of the groups and place their names in the bin. Randomly select the winner from the bin.
Step-by-step explanation:
First, let us see how many bins we will need in total.
1,200 students / 200 notecards per bin = 6 bins
Now, the first two options do not give all students a fair chance of winning. They are not our answer.
The last two have a different number of groups. Looking at the calculation we did earlier, we will need 6 equal-sized groups. This means our answer is the last option.
1 1/4 x 1 1/3 plsss help
Answer:
exact form: 5/3
decimal form: 1.6 (6 is repeating)
mixed number form: 1 2/3
Step-by-step explanation:
Answer:
1 2/3
Step-by-step explanation:
1 1/4 x 1 1/3 = 5/4 x 4/3 = (5x4)/(4x3) = 20/12 = 5/3 = 1 2/3
One-sixth of the fourth graders and one-third of the fifth graders miss school on Friday. The absentee sheet for Friday shows the names of 8 fourth graders and 14 fifth graders. How many fourth and fifth graders are enrolled in the school?
The number of fourth graders enrolled in the school is 48.
The number of fifth graders enrolled in the school is 42.
What is division?Division is the process of determining the quotient of a number by grouping a number into equal groups using another number.
How many fourth and fifth graders are enrolled in the school?Number of fourth graders = 8 ÷ 1/6
8 x 6 = 48
Number of fifth graders = 14 ÷ 1/3
14 x 3 = 42
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Triangle XYZ has vertices X(1, 6), Y(5, 2), and Z(0, 1).
What is its image after a rotation of 90°counterclockwise about the origin?
Answer: see attached photo
Step-by-step explanation:
if you notice, for 90 degrees you can switch the x and y and add a negative infront of the new x