7. If A = 2x + 3 and B = x^2 - 5x + 1, what is the value of A-5B?
Answer:
[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDASgiven:A=2x+3B=x²-5x+1to find:A-5Blet's solve:[tex] step - 1 : define[/tex]
A-5B=2x+3-5(x²-5x+1)
[tex]step - 2 : solve[/tex]
distribute -5 to the parentheses:2x+3-5x²+25x-5rewrite:-5x²+2x+25x-5+3combine like terms:-5x²+27x-2and
we are done
A rectangular prism has a base of 7 m by 9 m and a height of 5 m. What is its volume?
Answer:
315m ^3
Step-by-step explanation:
make sure you put the exponent !!
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Oy- (11
y (11)
(18)(5)
oy-
5
11
2 y = (1865
Answer:
y = 18/5(11)
Step-by-step explanation:
If y varies directly as x, this is expressed as;
y∝x
y = kx
k is the constant of proportional constant
if y = 18 and x = 5
18 = 5k
k = 18/5
to get the expression that can be used to find the value of y when x is 11
y = kx
y = 18/5(11)
This gives the required expression
An Experienced ice skater spins on the ice, creating a perfect circle with a diameter of 4 feet. What is the circle's radius?
Answer:
2
Step-by-step explanation:
the radius is half the diameter from the middle!
Point p is the interior of angle abc. If angle abc=125deg and angle abp=62deg, what is the angle pbc?
Answer: The angle ∠ PBC is 63°.
Step-by-step explanation:
Given: Point P is in the interior of ∠ABC.
∠ ABC = 125°
∠ABP= 62°
To find : ∠ PBC
Since P is in the interior of ∠ABC.
Then
∠ ABC = ∠ABP + ∠ PBC
⇒ 125°= 62°+ ∠ PBC
⇒ ∠ PBC= 125° - 62°
⇒ ∠ PBC= 63°
Hence, the angle ∠ PBC is 63°.
2. What is the area of the half circle ?
20 points
9 in
A) 31.7925 square feet
B) 63,585 square feet
C) 127.17 square feet
D) 254 34 square feet
Ajar contains $36.25 in dimes (10 cents) and quarters (25 cents). There are 250
coins in the jar. How many quarters are there in the jar?
Answer:
Step-by-step explanation:
The jar contains 2 types of coins dimes and quarters
the total amount is equal to 36.25 dollars
the total number of coins is 250
let number of dimes be x and quarters be y
let us put the equation
0.10x + 0.25y = 36.25
for our convinience convert all money to cents i.e. = 3625 cents
now the equations are
10x + 25y = 3625
x + y = 250
we need to solve for y i.e. number of quaters
y = 250 - x
rewrite the equation substituting y in x place
10(250 - y) +25 y = 3625
2500 - 10y +25y = 3625
15y = 1125
y = 75
so the number of quarters = 75
cross checking :
number of dimes = 250 - 75 = 175
total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25
A basketball court is a rectangle that is 28\,\text{m}28m28, start text, m, end text long and 15\,\text{m}15m15, start text, m, end text wide. A diagram on a coordinate plane shows a circle in the middle of the court centered at (0\,\text{m},0\,\text{m})(0m,0m)left parenthesis, 0, start text, m, end text, comma, 0, start text, m, end text, right parenthesis. The point (0.8\,\text{m}, 1.5\,\text{m})(0.8m,1.5m)left parenthesis, 0, point, 8, start text, m, end text, comma, 1, point, 5, start text, m, end text, right parenthesis is on the circumference of the circle.
Approximately what percentage of the court does the circle cover?
Answer:
48
Step-by-step explanation:
Answer:
B, 2%
Step-by-step explanation:
Peggy is laying 60 ft from the base of a tree. The angle of elevation for her to see
the top of the tree is 50º. Use a trigonometric ratio and calculator to find the
height of the tree to the nearest tenth of a foot.
Answer:
The height of the tree is approximately 71.5 feet
Step-by-step explanation:
The given parameters are;
The angle of elevation to see the top pf the tree = 50°
The distance Peggy is laying from the base of the tree = 50 ft.
In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground
Therefore, the line of sight to the top of the tree, the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle
Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying
The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;
θ = 180° - 90° - 50° = 40°
θ = 40°
By sine rule we have;
h/sin(50°) = d/(sin θ)
∴ h/sin(50°) = 60 ft./(sin 40°)
h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.
∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth
In one company, 20% of the workers in the technical department applied for vacation at the same time. If 12 workers applied for vacation, how many tech workers are there, altogether?
Answer:
There are 60 tech workers altogether
Step-by-step explanation:
Let X be the total number of tech workers in the company
Out of X tech employees, 20 % applied for leaves
In totality, 12 tech employees are on leave
Thus,
[tex]\frac{20}{100} * X = 12[/tex]
On solving the above mathematical equation, we get -
[tex]X = \frac{12*100}{20} \\X = 60[/tex]
Hence, there are 60 tech workers altogether
help if you can please
Answer:
a: 24 cm
b: 101 m
c: 1.46 mm
Step-by-step explanation:
Formula: d=2r
a: 12*2=24 cm
b: 50.5*2=101 m
c: 0.73*2=1.46 mm
The winner of a basketball contest is the individual who scores the highest percentage of free throws. The too three finishers are contestants A, B, and C. Contestant A made 85% of her free throws, contestant B made 0.88 of his free throws, and contestant C made 21/25 of his free throws. Graph in inequality that represents the possible percentages (in decimal form) of free throws made by the other contestants in the competition. (Assume there are no ties.)
Answer:
Step-by-step explanation:
Less than 0.84
Step-by-step explanation:
Convert all numbers to decimals
85% --> 0.85
0.88 --> 0.88
21/25 --> 0.84
Since these are the top three, the rest of the competitors are less than 0.84.
the area of a circle is 49sm what is the radius
I NEED HELP OW RN rn please
Answer:
(4,10)
Step-by-step explanation:
Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate
Jacob did the following calculations, please explain the error if any. (2-3i)2 = (2-3i)(2-3i) = 4-6i-6i+9i2 = 9i2-12i+4
find area of triangles
PLEASEEEEEEEEEEE HELP ME IT'S THE LAST QUESTION
Answer:
I think it's 2-3, but I'm not sure.
Step-by-step explanation:
Sorry if I get it wrong
30000 at 8% per year for 10 months equals to
Answer:
2000
Step-by-step explanation:
S.I=P×rate / 100×time
30000×8 / 100×5/6
=2000
Elena raised $84 to support the animal shelter, which is 30% of her fundraising goal. What is Elena's fundraising goal
Felipe grows tomatoes.
0
20
60
80
The box plot shows information about
the weights of Felipe's tomatoes.
40
Weight (grams)
Felipe says “at least half of my tomatoes weigh more than 50 grams each".
a) Which of the statements below describes Felipe's statement best?
A- He is correct because the Median weight is 48 grams.
B - He is wrong because the Median weight is above 50 grams.
C - He is correct because the Median weight is 56 grams.
(1)
b) Work out the range of weights of Felipe's tomatoes.
(1)
c) Work out the interquartile range of weights of Felipe's tomatoes.
(1)
Answer:
a) c
b) 62
Step-by-step explanation:
He is correct because the Median weight is 56 grams.
Option C is the correct answer.
The range of weights of Felipe's tomatoes is 62.
The interquartile range of weights of Felipe's tomatoes is 44 grams.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
From the box plot,
Median = 56 grams
Now,
The statement that Felipe describe is correct because the median weight of 56 grams.
The range of the weights of the tomatoes.
= Highest value - Lowest value
= 78 - 16
= 62
The interquartile range of weights of Felipe's tomatoes.
= Upper quartile - Lower quartile
= 72 - 28
= 44 grams
Thus,
Median weight = 56 grams.
Range = 62
Interquartile range = 44 grams.
Learn more about median here:
https://brainly.com/question/28060453
#SPJ2
A book store is having a 30% off sale, Diary of a Wimpy Kid books are now $6.30 each. What was the original price of the books?
Answer:
The original price of the books were $9.
Step-by-step explanation:
%100 - %30 = %70
%70 = 0.7
$6.30 ÷ 0.7 = $9
What is a benefit of writing 4 • 4 • 4 •. 4 • 4 using exponents
Answer:
you can shorten it by putting 4 to the power of 5. (put a little 5 atop the 4.)
Step-by-step explanation:
like this
Help plzzzzz
Fill in the table for the function
y=-2x + 10
Answer:
16, 10, 0
You plug in the x into the function
The spinner shown is divided into equal sections that each contain one number, so that the probability of spinning each number on the spinner is the same. However, there are two red sections, and therefore there are a total of two numbers (1 and 3) that appear in red sections, while each other color appears in only one section.
A spinner with 6 equal-sized sections labeled 1 through 6. Sections 1 and 3 are red. Section 2 is blue. Section 4 is orange. Section 5 is purple. Section 6 is green.
© 2017 FlipSwitch. Created using GeoGebra.
What is the value of P(x:x is a red section)?
Enter your answer as a fraction in simplest terms, using the / symbol. For example, if your answer is 4284, which reduces to 12, enter it like this: 1/2
Answer:
the answer is 2/6 im not sure but i hope its help
The ratio of marbles to stones in a large pot is 6 to 7. If there are 42 marbles, then how many stones are there?
Answer:
49 stones
Step-by-step explanation:
Write the following proportion based on the given ratio of marbles (m) to stones (s), and naming the unknown number of stones to find, with the letter "X":
6 m / 7 s = 42 m / X s
cross multiply to get the unknown in the numerator:
6 * X = 42 * 7
divide both sides by 6 to isolate X entirely on the left of the equal sign
X = ( 42 * 7 ) / 6
X = 49
Therefore, there are 49 stones
is this a function?
Answer:
yes
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
Answer:
3.52BAStep-by-step explanation:
Middle School:
Find the median by arranging the data points from smallest to largest.
1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)
7/2 = 3.5
High School:
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)
4/2 = 2
Most of the points in the middle school plot are four or less.
A (High school students had more variation.)
The path of an athlete's long jump is modeled by a function h(d)=−14d2+d, where d and h denote the distance and the height in meters respectively. The graph of h(d) is given by
Answer:9ft
Step-by-step explanation:
Sam and Jennifer are saving money for college. Sam has saved $2000 and will save $60 more each week. Jennifer has saved $2500 and will save $55 more each week.
Answer: what the question
Step-by-step explanation:
(q – 5) 7 simplified
Answer:
7q-35
Step-by-step explanation: