all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.
Jason took out an 800$ loan from his bank two years ago. He recently paid 860$ Back to the bank. This included the original loan amount and the simple interest charged to him. What was the annual interest rate of Jason’s loan
Answer:
3.75%
Step-by-step explanation:
Principal , P= $800
Number of years, t = 2
Total Amount paid back(principal + simple interest) , A = $860
To obtain the interest rate on the loan :
We use the Relation :
A = P(1 + rt)
r = interest rate
860 = 800(1 + 2r)
860 / 800 = 1 + 2r
1.075 = 1 + 2r
1.075 - 1 = 2r
0.075 = 2r
r = 0.075 / 2
r = 0.0375
Hence, interest rate on loan = 0.0375 = (0.0375 * 100%) = 3.75%
Solve the given equation
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
o.125 cupand 5 fluld
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 cup 2 fluid ounces
1 cup = 8 ounces
8 + 2 = 10 ounces
10 * 4,890 = 48,900 ounces = 6,112.5 cups = 6,112 1/2 cups
1/2 cup = 4 ounces
--> 6,112 cups 4 fluid ounces
Hope this helps!
The caverns of sonora have two different tours the crystal palace and the horseshoe lake tour
Tara has a plastic string that is 3 3/4 feet long. She will cut the string to make bracelets that are each 5/8 foot long. Explain how to use the number line to determine the maxium number of braceletss tara can make
Answer:
The answer is below
Step-by-step explanation:
Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.
Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.
We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.
15/4 ÷ 5/8 = 6
Hence Tara can make 6 bracelets from the plastic sting.
S=1+2+3+........+100
Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
:
:
:
:
48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
2.5×10³ times what number is equal to 5×10⁶?
Step-by-step explanation:
2500x=5000000
2500x/2500=5000000/2500
x=2000
I think the answer is this
A length of a rectangle is 16/9,. and its width is 3/4 of its length. Find the area of this rectangle
Answer:
The answer is 1 1/3
Step-by-step explanation:
First you multiply the numerators then the denominators.
16 x 3 =48 , 9x4=36 =48/36. So that is your answer but it can still be simplified.
They can both be divided by 12 . 48 divided by 12 = 4 . 36 divided by 12 = 3.
but 4/3 is an improper fraction so you divide 4 by 3 and you get 1 with a remainder 1 = 1 and 1/3
The angle between the generator and the central axis of a double-napped cone is 60°. A plane intersecting the cone makes an angle of 50° with the central axis. Which conic section is formed?
circle
ellipse
hyperbola
parabola
Answer:
hyperbola
Step-by-step explanation:
given data
double-napped cone = 60°
plane intersecting cone angle = 50°
solution
conic section is formed hyperbola because here plane intersecting the cone makes an angle of 50° is less than angle b/w generator and central axis of 50°
so correct answer is hyperbola
Answer:
c on edge
Step-by-step explanation:
Someone please help me with this thank you
Diego scored nine points less than Andre in the basketball team Noah scored twice as many points as Diego if Noah scored 10 points how many ponts did Andre score
Answer:
1..........................
Answer:
Andre scored 14 points.
Step-by-step explanation:
set up expressions with the info given:
Diego's points: a –9
Andre's points: 2d. and
n = 2d
Noah's points = 10
Use the expressions to set up equations to solve.
To find a, Andre's points, we can work backwards.
Substitute the 10 from the last expression for n in the equation n=2d, and solve for d:
10 = 2d. Divide both sides by 2
5 = d
Substitute the value of d, Diego's points, to make an equation using the first expression:
5 = a –9 Add 9 to both sides.
5 + 9 = a a = 14
Andre scored 14 points
5x7=
5x7=5 x (_ + _)
5x7= (5x _) + (5x_)
5x7= _ + _
5x7=
Answer:
5x7=35
Step-by-step explanation:
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
Learn more about interest rate here: https://brainly.com/question/14191952
What’s the decimal as a persent
Answer:
37/50
Step-by-step explanation:
74/100
37/50
Answer:
37/50
Step-by-step explanation:
37 ÷ 50 = 0.74
Hope this helped!
Have a supercalifragilisticexpialidocious day!
A water container is in the form of a rectangular tank. Its base is 20 cm by 17 cm and depth of the water in the
container is 28 cm. Tony adds one a quarter litres, 350 ml and 100 ml water to the container
Calculate by how many centimeters has the level of water in the tank risen.
Answer:
[tex]Height= 5cm[/tex]
Step-by-step explanation:
Given
Tank:
[tex]Base =20cm\ by\ 17cm[/tex]
[tex]Depth = 28cm[/tex]
Water:
[tex]Quantity = 1\frac{1}{4}L, 350mL, 100mL[/tex]
Required
Determine [tex]the\ height[/tex] of the water in the tank
First, we calculate the total volume of water added.
[tex]Quantity = 1\frac{1}{4}L+ 350mL + 100mL[/tex]
[tex]Quantity = 1.25L+ 350mL + 100mL[/tex]
Convert all units to Litres
[tex]Quantity = 1.25L+ 0.35L + 0.1L[/tex]
[tex]Quantity = 1.7L[/tex]
Convert to cm^3
[tex]Quantity = 1.7 * 1000cm^3[/tex]
[tex]Quantity = 1700cm^3[/tex]
The volume of the water in the tank is calculated as:
[tex]Volume =Base\ Area * Height[/tex]
i.e. the base area of the tank multiplied by the height of the water in the tank
[tex]Volume =20cm * 17cm* Height[/tex]
[tex]Volume =340cm^2* Height[/tex]
Since the above represents the quantity of water, we can substitute 1700cm^3 for Volume
[tex]1700cm^3=340cm^2* Height[/tex]
Make height the subject
[tex]Height= \frac{1700cm^3}{340cm^2}[/tex]
[tex]Height= \frac{1700cm}{340}[/tex]
[tex]Height= 5cm[/tex]
Please help me I’m confused
What's the answer she gave the class a test and I dont know the answer cause she ain't teach us
What is the value of the expression (2)^6?
pls help
Answer:
64
Step-by-step explanation:
2^6, or 2⁶, is two to the power of six.
Basically you multiply the bottom number (in this case 2) by itself as many times as the the number in the top right (in this case six)
2^6=2*2*2*2*2*2=64
Answer: 64
Step-by-step explanation:
2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 = 64
2 ⋅ 2 ⋅ 2 = 8
2 ⋅ 2 ⋅ 2 = 8
8 x 8 = 64
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.
Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50
What is the unit rate in this relationship?
Step-by-step explanation:
fresco didn't Divo ratify jdndodnswjskd ksosbwjw
Silvia has completed 8 math exercises e. This one fourth of the assignment. How many exercises were assigned?
Answer:
32
Step-by-step explanation:
since there are 4 parts, multiply 8 by 4
PLZ HELP I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!
write an expression equivalent to 6(x + y) + 11 - 5, and state which property you used to write it.
Answer:
6x+6y+6
Step-by-step explanation:Distributive property and adding
Please answer quickly Thank You
Answer:
find and interpret the value of × so that t(×) = 114.
Given the following formula, solve for v.
S=1/2a2v+c
Answer:
Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.
s = 1/2a^2*v+c
First you need to subtract c from both sides to get
s-c = 1/2a^2*v
then you can just divide both sides by 1/2a^2 to get v
(2(s-c))/a^2=v
when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.
Step-by-step explanation:
I want to put 1/2 of a banana in each sack lunch. If I have
9 bananas, how many sack lunches can I make?
Answer:
18 sack lunches.
Step-by-step explanation:
You want 1/2 bananas and you have 9.
9 / 1/2 = 9 x 2 = 18 lunches.
Three units to the right of seven is?
Answer:
10 i think
Step-by-step explanation:
Answer:
Notice that distance is always positive or 0. (-3)
Step-by-step explanation:
I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
please help meh I'm I'm slowlyy from this question TwT send help
Answer:
so what XDXD
Step-by-step explanation:
Let B be between a and C use the segment addition postulate to solve for W
AB= 4w-4
BC = 2w-8
AC = 24
A- w=10
B- w=6
C- w=4
D- w=-2
Answer:
Value of w = 6
Step-by-step explanation:
Given:
AB= 4w-4
BC = 2w-8
AC = 24
Find:
Value of w
Computation:
AB + BC = AC
4w - 4 + 2w - 8 = 24
6w - 12 = 24
6w = 24 + 12
6w = 36
w = 6
Value of w = 6
Find the interquartile range (IQR) of the data in the dot plot below.
goals
Luis's lacrosse scoring each season
43
45
46
47
48
Number of goals
Answer: According to the picture the IQR would be 3.5
Step-by-step explanation: