Answer: 238
Step-by-step explanation:
The formula to calculate the nth term of an arithmetic progression = a + (n-1)d
Based on the question,
a = -140
90th term = a + 89d = 483
We need to get the value of the common difference
a + 89d = 483
-140 + 89d = 483
89d = 483 + 140
89d = 623
d = 623/89
d = 7
Therefore 55term will be:
= a + (n - 1)d
= a + (55 - 1)d
= a + 54d
= -140 + 54(7)
= -140 + 378
= 238
- Jeremy wants to enlarge his younger
brother's 5-foot by 5-foot sandbox
by multiplying its dimensions by 3.
How will the area of the sandbox be
affected?
Find the volume of the prism as pictured below with base area 10 cm2 and
h = 32 cm. Do not include units in your answer.
A bicycle that normally costs $450 is on sale for 20% off the original price, with an additional discount of $25.
What is the cost of the bicycle?
Answer: 335
Step-by-step explanation:
20% = 0.2
450 x .2 = 90
450 - 90 = 360
360 - 25 = 335
A triangle has one angle of 120 degrees what must be true about the other two angles A- the sum of the two angles must be equal to 120 degrees. B- the two angles must be the same measure C- the sum of two angles must be 60 degrees
Answer:
C
Step-by-step explanation:
Since all triangles' angles have a sum of 180 degrees, it can't be A, because that would make it 240 degrees. That leaves us with B and C. While B could be true, we don't know it for sure. Therefore, C is the correct answer because adding them should equal 60 degrees, which, adding them to the first angle (which was 120 degrees), would 180 degrees.
(-6 - 4) : (-5) = ?
What is the answer to this plz help
Answer:
-10 not sure what : is
Step-by-step explanation:
Question 2 (1 point)
What is the length of a day-night cycle? Is it the same everywhere on Earth?
12 hours - yes; because the sun rises and sets in the exact same place every day
relative to Earth.
12 hours - no; because depending on where you are on Earth, you have a
different amount of sunlight.
24 hours - yes; because the sun rises and sets in the exact same place every day
relative to Earth
24 hours - no; because depending on where you are on Earth, you have a
different amount of sunlight.
Answer: 24 hours - no; because depending on where you are on Earth, you have a different amount of sunlight.
Step-by-step explanation:
The day-night cycle is a complete day or a complete rotation of the earth around its axis. This takes 24 hours which is why 24 hours is the length of a full day.
People around the world however, do not get the same amount of sunlight or darkness and this is because of where they are on Earth. Due to the way the planet is tilted on its axis, some areas see sunlight more than other in a period and others see more darkness.
Solve the system by substitution.
x = 9y
x-5y=20
Step-by-step explanation:
hope this helps you! have a great day
The solutions of the system of equations are x = 45 and y = 5.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
The system of equations,
x = 9y .... (1)
x-5y=20 ......(2)
Substituting the value of x from the equation 1 to equation 2,
we get,
9y - 5y = 20
4y = 20
y = 5
Then, x = 5(9) = 45
Therefore, the solutions of the equations are x = 45 and y = 5
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PLEASE HELP ME IM SO CONFUSED AND THIS IS DUE IN 10 MINS!!! PLEASE HELP!!!
Answer:
The answer is 98304
Step-by-step explanation:
find the slope of the line
Answer:
no
Step-by-step explanation:
ask a teacher so people might lie abt the answer
Answer:
- 5/3
Step-by-step explanation:
This slope would be a positive slope since we have the dot on the negative side but it looks like it's in the ones but it's negative 5/3 in my opinion good luck
What is 100 km/h in mph?
Use 5 miles = 8 km.
Give your answer as a decimal
Answer:
Answer is100*5/8 = 62.5
Answer:
62.5
Step-by-step explanation:
100×5/8=125÷2=62.5
Brenna wants to learn more about stingrays. Which of the following is a statistical question Brenna could ask?
A. Do stingrays live in oceans or rivers?
B. Are stingrays an endangered species?
C. What is the heaviest stingray ever recorded?
D. How long does a stingray live?
Answer:d
Step-by-step explanation:because that would come up with the most information from sciencetist and professors
Answer:
Probably B or A
Step-by-step explanation:
Because learning about stingrays asking a question like that can tell you how many are left and how long you have to study them while they are here. and A because you wanna get to know their surroundings and what's better for them in an environment before you actually get to know about the stingrays, studying the environment can give you an idea of what to look for when you are diving in the ocean. Meaning you know exactly what to look for when diving so you can get as much information as you need.
Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant
Answer:
Step-by-step explanation:
It means if she planted 12 tulips then 4 daffodils for every 3 tulips = 16 daffodils
Total = 12 + 16 = 28
Answer:
12 Tulips
Step-by-step explanation:
16 daffodils and 12 tulips for 28 flowers in all
Please help i dont get this serious inquires only...
A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.
• Here's the table .
[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]
A number cube with the numbers 1 through 6 is rolled. Find the given probability
Answer:
1/6
Step-by-step explanation:
because there is six sides
option 2, [tex]\frac{2}{6}[/tex]
Can someone please help me with math.
65.40/w=95/100
Solve for W
Answer:
w = 68.84
Step-by-step explanation:
cross-multiply:
95w = 6540
w = 6540/95
Catherine Lewiston is currently earning an annual salary of $36,080 at
Zimmerman Heating Company.
She has been offered a job at a steel company at an annual salary of $47,120.
How much more would she earn per week at the steel company than at Zimmerman Heating?
Answer:
$212.31
Step-by-step explanation:
divide $36,080 by 52 weeks in a year. you get $693.84 weekly.
divide $47,120 by 52 weeks in a year. you get $906.15 weekly.
then subtract 906.15 from 693.84 and you get 212.31
2. What is the surface area of the triangular prism below?
The surface area of triangular prism is 281.68 square cm
What is the triangular prism?Triangular Prism is a pentahedron and has nine distinct nets. The edges and vertices of the bases are joined with each other via three rectangular sides. The sides of the triangular prism, which are rectangular in shape are joint with each other side by side. All cross-sections parallel to the base faces are the same as a triangle. A triangular pyramid has four triangular bases unlike the triangular prism, joined with each other and all are congruent to each other.
We have,
The length of triangular prism(l)=13 cm
The height of triangular prism(h)= 5.1 cm
The base of triangular prism(b)= 6.8 cm
S1, S2, and S3 are the three edges (sides) of the base triangle=6.1 cm,6.8 cm and 6.1 cm
Perimeter of base(p)=S1+S2+S3
=6.1cm+6.8cm+6.1cm
=19cm
According to question,
We know the formula of The surface area of prism=(perimeter of base× length of prism)+(2×base area of prism)
=(P ×l)+(2×[tex]\frac{1}{2}[/tex]×b ×h)
=(19×13)+(6.8×5.1)
= 247+34.68
=281.68 square cm
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Mr. Vara is designing post caps in the shape of a square pyramid for a fence that he just built in his backyard. The caps are solid wood and each one has a volume of 94.5 cubic centimeters.What is the height, in centimeters, of a wooden post cap?
Answer:
Height of the square pyramid is 6.569 centimeter
Step-by-step explanation:
The volume of the square pyramid is 94.5 cubic centimeters
The height of the square pyramid will be equal to the lengths of the sides of the square.
The volume of the square pyramid is given by
[tex]a^2 * \frac{h}{3}[/tex]
or
[tex]\frac{a^3}{3} = 94.5\\a^3 = 94.5 *3\\a = \sqrt[3]{94.5*3} \\a = 6.569[/tex]centimeter
Height of the square pyramid is 6.569 centimeter
Apply distributive property: 5(2 + x) *
10 points
10 + x
10 + 5x
Answer:
10 + 5x
Step-by-step explanation:
Answer:
The answer is 10 + 5x.
Step-by-step explanation:
Expand by distributing term.
[tex]5 \times 2 + 5x[/tex]
Simplify 5 × 2 to 10.
[tex]10 + 5x[/tex]
Therefor, the answer is 10 + 5x.
An isosceles triangle has sides of length 12.4, 12.4, and 17. Find the measure of the vertex angle.
Answer: 13
Step-by-step explanation:
A loan worth $1000 collects simple interest each year for 6 years. At the end of
that time, $270 of interest has accrued. What was the annual interest rate for
this loan?
a. 4.25%
b. 5.75%
c. 5.5%
d. 4.5%
Answer:
B
Step-by-step explanation:
Use a calculator and do it step by step.
You pick a card at random, put it back, and then pick another card at random. What is the probability of picking a 3 and then picking a number less than 3? (Write answer as a percentage)
Answer: 37.5%
Step-by-step explanation:
Given that the discriminant of a quadratic equation is 1, determine the number of real solutions.
Prove: An even plus an odd
equals an odd.
(2m) + (2n + 1) = 2(m + [?] + [ ]
odd
Answer:
2(m + [n)] + [1]
Step-by-step explanation:
(2m) + (2n + 1) =
= 2m + 2n + 1
= 2(m + n) + 1
= 2(m + [n)] + [1]
The simplification of the expression would be equal to 2(m + [n)] + [1].
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
An even plus an odd equals an odd.
[tex](2m) + (2n + 1)\\= 2m + 2n + 1\\= 2(m + n) + 1\\= 2(m + [n)] + [1][/tex]
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Ally ate 240 grapes in 6 days. Which rate below is equivalent to Ally's rate?
A. 60 grapes in 2 days
B. 60 grapes in 3 days
C. 120 grapes in 2 days
D. 120 grapes in 3 days
Answer:
D
Step-by-step explanation:
She ate 240 in 6 days or 40/day
So she would eat 120 in 3 days (40x3)
Answer:
D) 120 grapes in 3 days
Step-by-step explanation:
240/6 = 40 per day
80 in 2 days
120 in 3 days
qual é a raiz quadrada de 841?
Answer:
29
Step-by-step explanation:
Convert 189 To A Decimal And Then Round Your Answer To The Nearest Whole Number (29) Is Already Rounded To The Nearest Whole Number So Your Answer Is 29
multiply. write your answer as a fraction in simplest form: 4 x 5/14
Answer:
Most simplified version is 1 3/7
Step-by-step explanation:
First step is turn everything into a fraction 4 into a fraction is 4/1
4/1 times 5/14 is 20/14 or 1 and 6/14 or 1 and 3/7
Here we have a problem with the multiplication of fractions.
We will find that:
[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]
First, two things we need to remember:
[tex]\frac{x}{y} \cdot\frac{a}{b} = \frac{x \cdot a}{y \cdot b}[/tex]
Also, an integer number N can be written as:
[tex]N = \frac{N}{1}[/tex]
Now we want to solve:
[tex]4 \cdot\frac{5}{14}[/tex]
Using the above relations we get:
[tex]4 \cdot\frac{5}{14} = \frac{4}{1} \cdot\frac{5}{14} = \frac{4 \cdot5}{1 \cdot14} = \frac{20}{14}[/tex]
Now we need to simplify this, to do it, we need to divide both numerator and denominator by the same number.
We can see that both are multiples of 2, so if we divide both by 2 we get:
20/2 = 10
14/2 = 7
Then we have:
[tex]\frac{20}{14} = \frac{10}{7}[/tex]
Now 7 and 10 do not have common factors, so we can't simplify it anymore.
Concluding, we get:
[tex]4 \cdot\frac{5}{14} = \frac{10}{7}[/tex]
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The area of a trapezoid is (1/2)h(b1 + b2). A trapezoid has an area of 50 in2. If the bases are 12 and 8 inches, what is the height?
Answer:
5 in.
Step-by-step explanation:
Given that
b1 = 12
b2 = 8
A = 50
Formula is (1/2)h(b1 + b2), on substituting
50 = 1/2 * h(12 + 8)
50 = 1/2 * h(20)
100 = 20h
h = 100/20
h = 5
The height is 5 in
brad buys a pack of 12 energy drinks for £9.25
he sells all 12 for £1
work out the percentage profit
give your answer correct to 2 significant figures
Answer:
I dont I know i want points
