Answer:
however dc =20 cm is
Step-by-step explanation:
so this isnt contrary to 50
Answer:
If it's all about trapezoid and FE is the median:
SOLUTION:
m = \frac{1}{2}
2
1
[(20) + (38)]
m = \frac{1}{2}
2
1
(58)
m = \frac{58}{2}
2
58
m = 26
ANSWER: 26 cm
Step-by-step explanation:
Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 25 customers.
Write a system of equations
The system of equations that models the given situation is given as follows:
x + y = 25.15x + 25y = 475.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of single lawns cut.Variable y: Number of front and back lawns cut.He had 25 customers, hence:
x + y = 25.
He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:
15x + 25y = 475
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Solve the system.
3x + 4y = 7
2x-y=1
What does x and y equal
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
match each pair of rational numbers with their sum
The matched pair of rational numbers are as follows;
[tex]\frac{-2}{a^{2}b }+\frac{2}{ab^{2} } = \frac{2(a-b)}{a^{2}b^{2} }[/tex]
[tex]\frac{1}{2ab} +\frac{-1}{4a^{2} b^{2} } =\frac{2ab-1}{4a^{2}b^{2} }[/tex]
[tex]\frac{2}{a^{2} b^{3} } +\frac{-2}{ab} =\frac{2(1-ab^{2} )}{a^{2} b^{3} }[/tex]
[tex]\frac{1}{ab^{3} } +\frac{-1}{a^{2} b} =\frac{a-b^{2} }{a^{2}b^{3} }[/tex]
How to simplify rational numbers?The matched pair of rational numbers are as follows:
[tex]\frac{-2}{a^{2}b }+\frac{2}{ab^{2} } = \frac{-2b+2a}{a^{2} b^{2} } = \frac{2(a-b)}{a^{2}b^{2} }[/tex]
[tex]\frac{1}{2ab} +\frac{-1}{4a^{2} b^{2} } =\frac{2ab-1}{4a^{2}b^{2} }[/tex]
[tex]\frac{2}{a^{2} b^{3} } +\frac{-2}{ab} =\frac{2 - 2ab^{2} }{a^{2}b^{3} } =\frac{2(1-ab^{2} )}{a^{2} b^{3} }[/tex]
[tex]\frac{1}{ab^{3} } +\frac{-1}{a^{2} b} =\frac{a-b^{2} }{a^{2}b^{3} }[/tex]
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Simplify the following expression:
(x+3)-[(x+2)(x³ - 1)]
O A. - x4 - 2x - x+2
OB. -x-2x³ +2x+5
OC. --2x³ +1
OD. -x-2x²+2x+5
Simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The options are:
A) -x⁴ - 2x - x + 2
B) -x⁴ - 2x³ + 2x + 5
C) -2x³ + 1
D) -x - 2x² + 2x + 5
We have an expression:
= (x + 3) - [(x + 2)(x³ - 1)]
[tex]\rm =x+3-\left(x+2\right)\left(x^3-1\right)[/tex]
[tex]\rm =x+3-x^4+x-2x^3+2[/tex]
[tex]\rm =-x^4-2x^3+2x+3+2[/tex]
[tex]\rm =-x^4-2x^3+2x+5[/tex]
Thus, simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.
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What exponential expression is equal to 2^-5 . 2^8
[tex]~~2^{-5} \cdot 2^8\\\\=2^{-5+8}~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\=2^3[/tex]
find the volume to the nearest tenth
please help with this thank you!
Answer:
A. Half of
B. Twice
C. greater than
Step-by-step explanation:
The median of the box plot is the middle line of the box, so for set a it is approximately ten and for set b it is approximately 20. 10 is half of 20 and 20 is twice as much as 10.
Hope this helps
(b) Work out the value of (√2+√8)^2
[tex]~~~\left(\sqrt 2 + \sqrt 8 \right)^2\\\\=\left(\sqrt 2 \right)^2 + \left(\sqrt 8 \right)^2 +2 \sqrt 2 \sqrt 8\\\\=2+8+2\sqrt{2 \cdot 8}\\\\=10+2\sqrt{16}\\\\=10+2(4)\\\\=10+8\\\\=18[/tex]
Please Help I Don't Understand
Answer:
90
Step-by-step explanation:
The angles are on either side of the line are in proportion.
Hence,
⇒ [tex]\frac{10}{8} = \frac{x}{72}[/tex]
⇒ [tex]\frac{5}{4} = \frac{x}{72}[/tex]
⇒ [tex]x = \frac{5 \times 72}{4}[/tex]
⇒ [tex]x = 5 \times 18[/tex]
⇒ x = 90
Let's see
[tex]\\ \rm\Rrightarrow \dfrac{8}{10}=\dfrac{72}{x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4}{5}=\dfrac{72}{x}[/tex]
[tex]\\ \rm\Rrightarrow 4x=360[/tex]
[tex]\\ \rm\Rrightarrow x=90[/tex]
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
How you do it is add the 44% of 132 to 132 (132 + (132×44%))
First you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together. 132 × 0.44 is 58.08 miles. Then you add that to the rest of the trip, 132 miles. (132 + 58/08 is 190.08)
HELP!!! 100 PNTS+BRANLIEST TO QUICK AND CORRECT ANSWER!!!!!!!!
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Answer:
Yes
Step-by-step explanation:
1. Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2. The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3. With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4. With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
3
Select the correct answer from each drop-down menu.
A function is a relation where each input value is assigned to
The
of a function is the set of all input valu
The
of a function is the set of all output val
To write the equation y= ax + b in function notation, substitut at least
exactly
less than
one output value.
es, for which the function is defined.
ues, for which the function is defined.
or y.
Nex
The range of a function is the set of all output values.
How to illustrate the function?A function is a relation where each input value is assigned to only one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y.
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What is the median of this data set? A. 56 B. 75 C. 45 D. 61
ASAP 55POINT
Answer:
ok soo
Step-by-step explanation:
45, 56, 61, 75
middle of 56 and 61 add them so 117 then half 117 which is 58.5-
What is the value of y when the value of x is 1?
Answer: y = 60
the value of y will be 60 when the value of x is 1.
Solution set = (1 , 60)
hope that helps...
A pumpkin farmer collects 20 pumpkins randomly sampled from his pumpkin patch and weighs them. the mean
weight of the pumpkins is 26 lb. he wonders whether the weight of his pumpkins follows a normal distribution.
which answers are clear signs that the pumpkin weights are not normally distributed?
select all that apply.
the median pumpkin weight is 26 lb.
the median pumpkin weight is 35 lb.
75% of pumpkins in the sample have weights higher than the me
mean.
the median pumpkin weight is 10 lb.
about 68% of pumpkin weights are within one standard deviation of the mean.
The true statement about the pumpkin include:
the median pumpkin weight is 10 lbthe median pumpkin weight is 35 lb75% of pumpkins in the sample have weights higher than the mean.What is a median?The median is a value or quantity lying at the midpoint of a frequency distribution of observed values or quantities.
Here, the median pumpkin weight is 35 lb and 75% of pumpkins in the sample have weights higher than the mean.
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three numbers are in the ratio 1:3:5 and their sum is 270. find the largest number.
Answer:
150
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as x, 3x, and 5x
=============================================================
Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
=============================================================
Largest number :
⇒ 5x
⇒ 5(30)
⇒ 150
Answer :
Largest number is 150.Step by step explaination :
Here we have been given with the ratio of three numbers that is 1 : 3 : 5. So let us assume a common factor for them , we are assuming it as y.
Therefore,
First number = 1 → 1 × y = 1y Second number = 3 → 3 × y = 3yThird number = 5 → 5 × y = 5ySum of them is 270 :
>> 1y + 3y + 5y = 270
>> 4y + 5y = 270
>> 9y = 270
>> y = 270 / 9
>> y = 90 / 3
>> y = 30
Henceforth, value of y is 30.
★ Finding out first number :-
>> First number = 1y
>> First number = 1 × 30
>> First number = 30
★ Finding out second number :-
>> Second number = 3y
>> Second number = 3 × 30
>> Second number = 90
★ Finding out third number :-
>> Third number = 5y
>> Third number = 5 × 30
>> Third number = 150
Connie Nardelli rents a car for $27 per day. The total cost is a function of the number of days she rents the car. How much will she pay for an 8-day rental? Write an equation for the function. Describe the domain and range of the function. Solve the problem.
The equation is y = 27x. The amount she pays for an 8-day rental will be $ 216. Then the domain and range will be (0, ∞) and (0, ∞).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Connie Nardelli rents a car for $27 per day.
The total cost is a function of the number of days she rents the car.
Let x be the number of days ad y be the total rent cost.
Then the equation will be
y = 27x
The amount she pays for an 8-day rental will be
y = 27 × 8
y = 216
The domain and range will be (0, ∞) and (0, ∞).
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what is the answer to −1.4+(−1.2)
Answer:
-2.6
Step-by-step explanation:
-1.4+(-1.2)
-1.4-1.2=-2.6
Hope this helps!
If not, I am sorry.
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest
hundredth.
10 m
cubic meters
Step-by-step explanation:
volume of a sphere is given by 4/3 × pi × r³
hence, the answer is 523.33
comment if you have any doubts
Work Shown:
[tex]V = (4/3)*\pi*r^3\\\\V \approx (4/3)*3.14*5^3\\\\V \approx 523.33\\\\[/tex]
find an equation of the circle that has center (-5, 0) and passes through (4, -6).
PLEASE HELP !!!!
Answer:
[tex](x+5)^2+y^2=117[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (-5, 0)[tex]\implies (x-(-5))^2+(y-0)^2=r^2[/tex]
[tex]\implies (x+5)^2+y^2=r^2[/tex]
To find r², input the coordinates of the given point (4, -6) into the equation:
[tex]\implies (4+5)^2+(-6)^2=r^2[/tex]
[tex]\implies 81+36=r^2[/tex]
[tex]\implies r^2=117[/tex]
Therefore, the equation of the circle is:
[tex]\implies (x+5)^2+y^2=117[/tex]
Answer:
Standard form = (x + 5)² + y² = 117
General Form = x² + 10x + y² - 92 = 0
Explanation:
(x - h)² + (y - k)² = r²
center: (h, k)Find radius using:
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]\rightarrow \sf radius : \sqrt{(-5-4)^+(0-(-6))^2} \ = \ 3\sqrt{13} \ \ units[/tex]
Find equation inserting values: Given center: (-5, 0)
⇒ (x - (-5))² + (y - 0)² = (3√13)²
⇒ (x + 5)² + y² = 117
⇒ x² + 10x + 25 + y² - 117 = 0
⇒ x² + 10x + y² - 92 = 0
PLEASE HELP WITH THE PHOTO LINKED IM REALY BAD AT NEGATIVE NUMBERS!!!
Answer:
B
Step-by-step explanation:
When you have a double negative (ie. 5 -(-10)) they cancel eachother out and become a plus. If you have + and - together, its always a minus, if you have + and + or - and -, its always plus.
Since in 4-(-3), the two minuses cancel each other out and become a plus, you move 3 to the right, since right is the positive direction.
subtracting a negative number changes the equation to an addition.
4 -(-3) becomes 4 + 3 = 7
you would start at 4 and move 3 places to the right.
the answer is B.
4 out of every 7 students in a school eat a packed lunch. The rest eat a school meal.
Which of the following statements is correct?
47% of students eat a school meal
The ratio of school meal to packed lunch is 7 : 4
The ratio of packed lunch to school meal is 4 : 3
56% of students eat a packed lunch
4 3/5 - 2 5/6
[four and three fifths minus two and five sixths]
(I got 2 and 7 thirtieths but my teacher had 1 and 23 thirtieths, help?]
Hey there!
4 3/5 - 2 5/6
= 23/5 - 17/6
= 53/30
≈ 1 23/30
Therefore, the answer should be:
53/30
OR
1 23/30
(Either should work because they are equivalent to each other)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .
What is mixed fraction?" Mixed fraction is defined as the fraction representing whole fraction along with the quotient and remainder."
Convert mixed fraction into improper fraction
[tex]m\frac{p}{q} = \frac{q*m+p}{q}[/tex]
According to the question,
Given mixed fraction,
[tex]4\frac{3}{5} -2\frac{5}{6}[/tex]
Convert mixed fraction into improper fraction we get,
[tex]=\frac{23}{5} -\frac{17}{6} \\\\=\frac{138-85}{30} \\\\=\frac{53}{30}\\ \\= 1\frac{23}{30}[/tex]
Hence, value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .
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Find the length of AC
Find the length of DC
Step-by-step explanation:
Here is the solution...hope it helps:)
what’s the area of the base
Answer:
16 square units
Step-by-step explanation:
16 square units
Find the volume of the cylinders. (Use π=3.14)
A. Height= 9ft ; radius= 3ft
B. Radius=13yd; height=8yd
Question 1
h= 9 ftr= 3 ftQuestion 2
h= 8 ydr= 13 yd Note that:h= heightr= radius To find:The volume of the given cylinders.
Solution:[tex]\huge\boxed{Formula: V=\pi{r}^{2}h}[/tex]
[tex]\huge\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V=3.14×{3}^{2}×9[/tex]
[tex]\large\boxed{V= 254.34 \: {ft}^{3}}[/tex]
Let's work on question 2
Substitute the values according to the formula.
[tex]V=3.14×{13}^{2}×8[/tex]
[tex]\large\boxed{V= 4245.28 \: {yd}^{3}}[/tex]
A square has a side length 9 cm.
What is its area?
area of square = s×s
9×9
81cm²
hope it helps...!!!
Answer:
81 cm^2
Step-by-step explanation:
A square is a 2d shape with side lengths all the same.
To find the area, all you need is one side length, which is 9cm in this case.
Then you just square the number (9 x 9) to get 81 cm^2 (centimetre squared).
Draw a picture to show the value of 5 x (3 + 7)
How many times as big is 5 x (3 + 7) as (3 + 7)? How do you know?
Solve-2x6x + 9.
A. x > -3
B. x < -5
OC. x>-5
D. x <-3
Step-by-step explanation:
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At what distance above the ground was the shot fired? Show your work.
Answer:
51.63 ft
Step-by-step explanation:
Tangent 25 = opposite / adjacent
tan 25 = height/100
Height = 100 tan 25 = 46.63 feet ABOVE the head of the victim
victim head height = 5 ft
46.63 + 5 = 51.63 ft