Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.
please help quickly !
Answer:
A
Step-by-step explanation:
Answer:
x- 41.5 = 13.5
Step-by-step explanation:
The normal rate is x and the sick rate is 41.5
The difference is 13.5
x- 41.5 = 13.5
a, b , c and d are four integers.
their mean is 8.
their mode is 7.
their median is 7.5.
find the four integers
The four integers are 7, 7, 8, 10
What are the integers ?
Four integers are a, b, c, d
Mean = Sum of integers/Total number of integers
= (a+b+c+d)/4
According to the question,
Mean = 8
i.e. (a+b+c+d)/4 = 8
⇒ a+b+c+d = 32 ......(1)
Median (for even no. of integers) = ([tex]\frac{n}{2}^{th} +(\frac{n}{2}+1)^{th}[/tex] term)/2
= (2nd+3rd term)/2
= (b+c)/2
According to the question,
Median = 7.5
i.e. (b+c)/2 = 7.5
⇒ b+c = 15 .....(2)
We know that, most frequent data is the mode.
So, mode = 7 means the number 7 occurs most frequently.
7 is not more than 2 times, because if 7 occurs 3 times, then 2nd & 3rd term will be 7 & median will be (7+7)/2 i.e. 7, so 3rd term must be larger than 7 to adjust the median value, which is 7.5
Then 1st two integers are 7 & 7
i.e. a = b = 7
Now, from (2), b+c = 15
⇒ 7+c=15
⇒ c =15-7
⇒ c = 8
Now, from (1) we get, a+b+c+d = 32
⇒ 7+7+8+d = 32
⇒ 22+d = 32
⇒ d = 32-22
⇒ d = 10
So, a = 7, b = 7, c = 8, d = 10
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HELP FAST this is a late assignment
Answer:
A, C, and D
Step-by-step explanation:
They are subtracting
Write these values in order, starting with the smallest.
The first one has been done for you.
0.15 1/10 12% 1/20
A. B. C. D.
[D] [ ] [ ] [ ]
9514 1404 393
Answer:
D B C A
Step-by-step explanation:
The decimal equivalents are ...
A 0.15 = 0.15
B 1/10 = 0.10
C 12% = 0.12
D 1/20 = 0.05
Least-to-greatest, the order is D B C A.
Please help!
What is 5.2¯ expressed as a fraction in simplest form?
275
389
265
479
Answer:
Step-by-step explanation:
389
Answer. 3/89
Step-by-step explanation:
HEY FREN
there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/
Answer:
There are 3 roses in the garden.
Step-by-step explanation:
If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.
Complete 5-8 for 15 points.
What is the compliment of Mariah choosing three mysteries?
Find the distance between A and B.
A. 2√5 Units
B. √6 Units
C. 4 Units
D. 2√3 Units
Answer:
The result is [tex]d = 2\sqrt{5}[/tex] units.
Step-by-step explanation:
The coordinates for A and B:
A = (-2, 0)
B = (2, 2)
-To find the distance between A and B, you need the distance formula:
[tex]d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2}[/tex] Where the first coordinate is [tex](x_{1},y_{1})[/tex] and the second coordinate is [tex](x_{2}, y_{2})[/tex].
-Use the coordinates A and B for the equation:
[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]
-Then, you solve the equation:
[tex]d = \sqrt{(2+2)^2 + (2-0)^2}[/tex]
[tex]d = \sqrt{(4)^2 + (2)^2}[/tex]
[tex]d = \sqrt{16 + 4}[/tex]
[tex]d = \sqrt{20}[/tex]
[tex]d = 2\sqrt{5}[/tex]
So, therefore the distance is [tex]2\sqrt{5}[/tex] units.
Math
Which quantity is proportional to
18/6?
Check all that are true.
Answer: There isnt enough information to asnwer
Step-by-step explanation:
Answer:
36⁄12
Step-by-step explanation:
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
Factor the trinomial
The factors of m^2+12m+35 are ____ and ____
Mindy deposits $250 into a savings account that pays simple interest. If the interest rate is 1.5%, what is her account balance at the end of a 2 years if she makes no withdrawals?
Answer:
Her account balance at the end of 2 years is $257.5.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
Deposit of $250, so [tex]P = 250[/tex]
Interest rate of 1.5%, so [tex]I = 0.015[/tex]
2 years, so [tex]t = 2[/tex]
Amount of interest earned:
[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]
Total amount:
[tex]T = E + P = 7.5 + 250 = 257.5[/tex]
Her account balance at the end of 2 years is $257.5.
A square pyramid has a base of total area of 144 m square root 2 and a volume of 384m cubic what is the slant height of the pyramid?
Answer:
Slant height of the pyramid = 11.66 m
Step-by-step explanation:
A squad pyramid has a volume of
V = ⅓ × (area of base) × (vertical height)
Area of the pyramid's square base = 144 m²
Volume = 384 m³
384 = ⅓ × 144 × (vertical height)
Vertical height = (3×384)/(144) = 8 m
But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.
The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.
The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.
Area of the square base of the pyramid = 144 m²
Area of a square = (side length)²
Side length = √(Area of the square) = √144 = 12 m
Using Pythagoras theorem,
(Length of the diagonal)² = 12² + 12² = 288
Length of the diagonal = (12√2) m
Half of the length of the diagonal of the square base = 6√2 m
Using Pythagoras theorem further
(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²
(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136
Slant height of the pyramid = √136 = 11.66 m
Hope this Helps!!!
hi I need some help...
-6y + 17 = 3y -10
Answer:
y=3
Step-by-step explanation:
Solve by subtracting
[tex]-6y + 17 = 3y -10\\-6y=3y-27\\-9y=-27\\[/tex]
Divide.
[tex]-9y=-27\\y=-27/-9\\y=3[/tex]
Answer:
3
Step-by-step explanation:
Tim has a 6-sided die that contains the
numbers 1-6 on each of its sides. Tim rolls
the die 48 times. About how many times
Would you expect Tim to roll a 3?
How do you do this?
Please help, I’ve been staring at this for like 10 min :)
Answer & Step-by-step explanation:
The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):
[tex]x=-2\\y=2(-2)+5\\y=-4+5\\y=1[/tex]
------
[tex]x=-1\\y=2(-1)+5\\y=-2+5\\y=3[/tex]
------
[tex]x=0\\y=2(0)+5\\y=0+5\\y=5[/tex]
------
[tex]x=1\\y=2(1)+5\\y=2+5\\y=7[/tex]
------
[tex]x=2\\y=2(2)+5\\y=4+5\\y=9[/tex]
:Done
What the percent of 160 is 56? Use the bar model
Answer:
35%
Step-by-step explanation:
See attached for visual
160= 8*20 8 = 1/20 = 5% of 16056= 8*77*5% = 35%56 is 35% of 160
15. What is the volume of the sphere? Round the answer to the nearest cubic unit.
16 cm
268 cm3
2,145 cm3
17,157 cm3
536 cm
Answer:
2145 cm3
Step-by-step explanation:
Volume is a three-dimensional scalar quantity. The volume of the sphere is 2,145 cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]
Given that the diameter of the sphere is 16 cm, therefore, the radius of the sphere is 8 cm. Now, the volume of the sphere can be written as,
[tex]\text{Volume of the sphere} = \dfrac43 \pi r^3[/tex]
[tex]=\dfrac43 \pi r^3\\\\=\dfrac43 \times \pi \times (8)^3\\\\= 2,144.66\ cm^3 \approx 2,145\ cm^3[/tex]
Hence, the volume of the sphere is 2,145 cm³.
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musa age is twothird of abus age if the sum lf their ages equals to 30 what is abu age
Answer:
the answer is 10 i think
Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A3 cm, 3 cm, 3 cm
B4 cm, 8 cm, 13 cm
C5 cm, 9 cm, 14 cm
D 6 cm, 7 cm, 8 cm
E 7 cm, 7 cm,10 cm
Answer:
A3
D6
Step-by-step explanation:
All answer choices are correct and can form triangles.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
A set of measurements could be the side lengths of a triangle if and only if the sum of the lengths of any two sides is greater than the length of the remaining side (Triangle Inequality Theorem).
A)
3 cm, 3 cm, 3 cm - This is a valid triangle because the sum of any two sides is greater than the third side.
B)
4 cm, 8 cm, 13 cm - This is a valid triangle because 4+8 > 13, 4+13 > 8, and 8+13 > 4.
C)
5 cm, 9 cm, 14 cm - This is a valid triangle because 5+9 > 14, 5+14 > 9, and 9+14 > 5.
D)
6 cm, 7 cm, 8 cm - This is a valid triangle because 6+7 > 8, 6+8 > 7, and 7+8 > 6.
E)
7 cm, 7 cm, 10 cm - This is a valid triangle because 7+7 > 10, 7+10 > 7, and 10+7 > 7.
Therefore,
All of the sets of measurements could be the side lengths of a triangle.
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Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?
Answer: 0.22 plates
Step-by-step explanation:
Given that The recipe calls for 23 cup of cheese for each plate of nachos
1 plate = 23 cups
X plate = 5 cups
Cross multiply
5 = 23x
Make the x the subject of formula
X = 5/23
X = 0.22
Or 5/23 plate
find the zeros for (x+7) (x+5)+0
Steps to solve for the zero:
(x + 7)(x + 5) = 0
~Set both factors to equal zero
x + 7 = 0
x + 5 = 0
~Solve for x in [ x + 7 = 0 ]
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
~Solve for x in [ x + 5 = 0 ]
x + 5 = 0
x + 5 - 5 = 0 - 5
x = -5
Therefore, the solutions are x = -7 and x = -5
Best of Luck!
Solve for x. 2/5 (x − 17) = 26 x=
Answer:
x =82
Step-by-step explanation:
2/5 (x − 17) = 26
Multiply each side by 5/2
5/2 *2/5 (x − 17) = 26*5/2
x-17 =65
Add 17 to each side
x-17+17 = 65+17
x =82
Answer:
Step-by-step explanation:
u got to just learn how to do it
When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest hundreds to estimate the answer
Answe12800 miles
Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800
5(2k-3)+17 helppppppppp i need it simplified
Answer:
2(5k + 1)
Step-by-step explanation:
5(2k - 3) + 17 =
10k - 15 + 17
10k + 17 - 15
10k + 2
2(5k + 1)
Find the area of the triangle
Answer:
32
Step-by-step explanation:
you add together the 2 and 6 which gets you 8 and since the formula for the area of a triangle is bass * height divided by 2 you would do 8 * 8 which is 64 and then you divide by 2 which is 32
A spinner is divided into 4 sections using the
colors red, orange, yellow, and green. After
50 trials, the spinner landed on red 10 times,
on orange 16 times, on yellow 6 times, and
on green 18 times. What would you estimate
as the probability of the spinner not landing
on yellow?
Answer:
0.88
Step-by-step explanation:
Given:
A spinner is divided into 4 sections using the colours: red, orange, yellow, and green. After 50 trials, the spinner landed on red 10 times, on orange 16 times, on yellow 6 times, and on green 18 times.
To find: probability of the spinner not landing on yellow
Solution:
Probability is the chance of occurrence of some event.
Total number of outcomes = 50
Number of favourable outcomes = 50 - 6 = 44
Probability of the spinner not landing on yellow = Number of favourable outcomes / Total number of outcomes = [tex]\frac{44}{50}=\frac{22}{25}=0.88[/tex]
Answer:
The answer is 0.88 Hope this helps any T4L students!
Theater a sells popcorn in a rectangular prism theater B sells popcorn in a similar tub both cost five dollars which theater gives you a better deal find the volume of theater is popcorn
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimensions of tubs used by theatre A and B is missing.
However, I'll solve the question as follows.
First, it should be noted that the tub with highest volume gives the best deal.
This is so because both pop corns go for the same price of $5 and the tub with the highest volume contains more popcorn.
The volume of a rectangular prism is calculated by
Volume = Length * Breadth * Height
Take for instance, the dimension of tub A is length = 4cm, breadth = 5cm and height = 6cm
And the dimension of tub B is length = 3cm, breadth = 7cm and height = 5cm
The volume of tub A (theatre A) = 4cm * 5cm * 6cm
Volume = 120cm³
The volume of tub B (theatre B) = 3cm * 7cm * 5cm
Volume = 105cm³
Because the volume of tub A is greater than that of tube B, then tube A offers the best deal
If you apply this steps in your question, you'll arrive at the right answer.
The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m
Answer:
3.7096902=area
Step-by-step explanation:
2.1x1.4=2.94m^2
2.94+(.5pi(.7^2))