Answer:
I have $18 and my brother has $6.Step-by-step explanation:
x - brother's money
3x - my money
$24 - our money
The equation:
x + 3x = $24
4x = $24
4x : 4 = $24 : 4
x = $6
3x = 3 · $6 → 3x = $18
Find the sum of the 1st 100 terms: 100+98+96+....
Answer:
First we Check if its an AP or GP
Its an AP because the Second term Minus the First term is = to 3rd term Minus Second term
Since it said "Sum"
The formula we should think Of is
Sn = n/2[2a + (n-1)d]
n=100
a(First term) =100
Common difference 'd' = Second term - First term or Third term - Second term
So
d= 98-100 or 96-98
d=-2.
Applying the Formula...
Sn = 100/2 [2(100) + (100-1)(2)]
Sn = 50[200 + (99)(2)]
Sn= 50[200 + 198]
Sn = 50[398]
Sn = 19,900.
Please help!
Three days a week after school, Sarah runs 2.2 miles each day. This week, Robert ran of the total d that Sarah ran. Also this week, Brooke ran 110% of the total distance that Sarah ran. What is the mea distance that each person ran this week?
A. 1.308 miles
B. 3.925 miles
C 5.995 miles
D. 17.985 miles
Answer:
c
Step-by-step explanation:
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At the beginning of spring, Austin planted a small sunflower in his backyard.
When it was first planted, the sunflower was 25 inches tall. The sunflower
then began to grow at a rate of 3 inches per week. How tall would the
sunflower be after 6 weeks? How tall would the sunflower be after w weeks?
Answer:
After 6 weeks the sunflower would be 43 inches tall. After w weeks, the sunflower would be 25 + 3w tall.
Which of the following is a prime number?
OA) 19
OB) 26
OC) 48
OD) 52
Answer:
A) 19
Step-by-step explanation:
prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself
A) 19 => 1 × 19 correct
B) 26 => 1 × 26, 2 × 13 incorrect
C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8 incorrect
D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect
The box-and-whisker plot summarizes student scores on a physical fitness test. Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get to receive an award?
Answer:
74
Step-by-step explanation:
To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 8 x − 23 ) ∘ ∠A=(8x−23) ∘ and m ∠ B = ( 7 x − 7 ) ∘ ∠B=(7x−7) ∘ , then find the measure of ∠ A ∠A
Answer:
Step-by-step explanation:
angle A+angle B=90 degree
8x-23+7x-7=90
15x-30=90
15x=90+30
x=120/15
x=8
substitute the value of x in angle A
8x-23
8*8-23
64-23
41 therefore angle A=41 degree
What is the diameter of a hemisphere with a volume of 863 in', to the nearest tenth
of an inch?
Answe 33.2
Step-by-step explanation:
863÷3.14=274.8407643312 find the square root then multiply by 2
The diameter of the hemisphere is twice the radius,
d = 2r ≈ 16.6 inches
What is volume?Volume is the measure of the amount of space occupied by a three-dimensional object. It is usually expressed in cubic units, such as cubic meters, cubic feet, or cubic centimetres.
The volume of a hemisphere is given by V = (2/3)πr³, where r is the radius of the hemisphere.
We can solve for the radius as follows:
V = (2/3)πr³
863 = (2/3)πr³
r³ = (863 x 3) / (2π)
r³ ≈ 650.35
r ≈ 8.3 inches
The diameter of the hemisphere is twice the radius, so:
d = 2r ≈ 16.6 inches
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how do you find tax paid
Answer:
You can pay your personal and business taxes to the Canada Revenue Agency (CRA) through your financial institution's online banking app or website. Most financial institutions also let you set up a payment to be made on a future date.
Step-by-step explanation:
step by step
Answer:
Step-by-step explanation:
150000 +11000++43000+20+40=204,060
A FedEx truck has three cargo trailers attached to the back of the cab. If each trailer is 20 feet by 7 feet by 8 feet, how much capacity does the triple trailer have?
Answer:
3360ft^3
Step-by-step explanation:
Volume of each trailer = 20ft * 7ft *8ft
Volume of each trailer = 140*8
Volume of each trailer = 1120ft^3
Since there are 3 of such cargo;
Capacity of the trailer =3(1120)
Capacity of the trailer = 3360ft^3
Hence the capacity of the trailer is 3360ft^3
The picture shows
the layout of a
regular triangular
pyramid. Calculate
how many square
centimeters of paper
are needed to make
this pyramid. Provide
the answer to the
nearest square
centimeter.
Answers:
a) 693 sq cm (approximate)b) 48 sq cm (exact)============================================================
Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
----------------------------
Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
What is the probability that Jenna buys exactly 3 bananas
Answer:
I can see black screen no photo for answering.
Of the students at Fillmore Middle
School, 0.5625 are bused to school.
Which percent is equivalent to 0.5625?
Answer:
56.25%
Step-by-step explanation:
Find the value of r.
Answer:
r = 10.5
Step-by-step explanation:
using the Pythagorean theorem:
(7 + r)² = 14² + r²
49 + 14r + r² = 196 + r²
subtract r² from both sides of the equation:
14r + 49 = 196
subtract 49 from both sides:
14r = 147
divide both sides by 14:
r = 10.5
Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges. Which system of equations represents this situation? A $~3x+4y=4.75~$ $~5x+2y=4.25~$ B 3x+4y=4.25 5x+2y=4.75 C 4x+3y=4.75 2x+5y=4.25 D 4x+3y=4.25 2x+5y=4.75
Answer:
B
Step-by-step explanation:
For the given situation, system of equations is represented by
3x + 4y = 4.25
5x + 2y = 4.75
What is system of equations?"A system of equations is a finite set of equations for which we find the common solution."
According to question,
x represents number of apples
y represents number of oranges.
Two situations are given for which we need to find out which system of equations it represents.
Situation 1 : Thomas paid $4.25 for the three apples and four oranges , which can be represented by equation:
3x + 4y = 4.25
Situation 2: Casey paid $4.75 for five apples and two oranges, which can be represented by equation:
5x + 2y = 4.75
Hence we can conclude that Option B is correct.
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Please help ty!
You need to hire a company to clean your house. Klean company has a fixed cost of $20 and charges $25/hour.
Dustbuster cleaning services, charges $35 per
hour.
a) Write the equations for both companies to calculate the cost of cleaning your house. Include "let" statements.
Answer:
Klean company = 20 + 25h
Dustbuster cleaning services = 35h
Step-by-step explanation:
Let
Number of hours = h
Equation to calculate the cost of cleaning your house
Klean company = 20 + 25h
Dustbuster cleaning services = 35h
Find the number of hours when the cost of cleaning house by both companies will be equal
Klean company = Dustbuster cleaning services
20 + 25h = 35h
20 = 35h - 25h
20 = 10h
h = 20/10
h = 2 hours
Number of hours = h = 2 hours
The dimentionsof the rectangular prisim shown are given im centameters what is the volume of the prism
Complete question :
The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.
What is the volume of the prism?
A. 0.75 cm
B. 1.6875 cm
C. 3.375 cm
D. 4.25 cm
Answer:
1.6875 cm³
Step-by-step explanation:
Given the dimension :
1.5 cm by 0.5 cm by 2.25 cm
The volume of a rectangular prism is given by :
Volume = Length * width * height
Volume, V = 1.5cm * 0.5cm * 2.25cm
Volume of prism = 1.6875 cm³
Hence, the volume of the rectangular prism is 1.6875 cm³
A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)
Answer:
0.05 im pretty sure to my calcutor
Step-by-step explanation:
3. What is the degree of each of the following polynomials?
a 25x3 + 12x2 -
b. 81 - a + 5a3
c. 95 +23y4 - 9113 +68y2 + 28y - 100
d. 126 – 86² +63
Answer:
I do believe the degree would be the exponents so for a I'm going to say 3 and 2.
Step-by-step explanation:
for b I'm going to say 3 for c I'm saying 4 and 2 and for d I'm going to say 2. I'm am rlly srry if this doesn't help or if it is wrong but I am hoping that it is right.
3. Find all real 4th roots of 81?
Answer:
Step-by-step explanation:
81^(1/4)=3
What is the fraction for 4.675?
Answer:
187/40
Step-by-step explanation:
have a nice day!
The fraction for 4.675 is 187/40 or 4 27/40
I really need help this is hard
Answer:
y = 3x + 3
Step-by-step explanation:
Y intercept is 3 so that's at the end of the equation. Input the points and that equation fits.
!!!PLEASE HELPP ME!!
Answer:
negative :)
Step-by-step explanation:
hope this helps
Answer:
its c
Step-by-step explanation:
Can someone help me out my grades are bad
Answer:
3/2 or 1.5
Step-by-step explanation:
trust me
In a race, the mean time for three runners was 12.4 seconds and the mean
time for another six runners was 11.5 seconds. Calculate the mean time for
all the nine runners
Answer:
11.8
Step-by-step explanation:
3(12.4) + 6(11.5) = 37.2 + 69 = 106.2
106.2/9 = 11.8
Enter a positive common factor (other than 1) of the fraction's numerator and denominator. 10/12
An angle measures 36º. What is the measure of its supplement?
Answer:
144° is the correct answer
sumpplement (angles that adds up to 180°)
: 180°-36°=144°
Need help !
Is it linear , quadratic, exponential
Answer:
Exponential
Step-by-step explanation:
So lets look at the table.
When x = 1, y = 3
When x = 2, y = 9.
Hmmm, this doenst seem like x+number=y. It doesnt seem like a quadratic, where the values go up, then down, then up again. Or vise versa.
So this rules out linear and quadratic, for the x doesnt change by a constant, or change the direction of y.
This leaves exponential or none of the above.
When x = 3, y = 27
When x = 4, y = 81
This seems like a exponent, since:
3 to the first power is 3
3 to the second power is 9
3 to the third power is 27
and 3 to the fourth power is 81
Answer:
exponential function
Hope this helps! ;)
least common multiple for (x+3)^2(x-2) and (x+3)(x^2-16)
[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]
Step-by-step explanation:
[tex] {(x + 3)}^{2} (x - 2) \: \: \: (x + 3)( {x}^{2} - 16)[/tex]
The first one can be kept in that form while the second can be factored as
[tex](x + 3)(x + 4)(x - 4)[/tex]
so we can see that the LCM is
[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]
I need all the help I can
The size of a school increased so that it had 750 pupils instead of 680 and
38 teachers instead of 37. Find the percentage increases in the number of teachers
and pupils. Comment on your answers.
Step-by-step explanation:
% increase in the no of pupils = {(750-680)/680} × 100 = 10.3%
% increase in the no of teachers = {(38-37)/37} × 100 = 2.7%