The principal is N16.94
Step-by-step explanation:
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (123 × 100)/(3 × 242)
Principal = 12300/726
Principal = 16.9421
Aziz purchesis 4 2/8 feet of fabric he used 1/5 of fabric to make a tote bag how much fabric will aziz have left over?
Answer:
3/20
Step-by-step explanation:
Fabric left over = total fabric purchased - total fabric used to make a tote bag
total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =
[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]
fabric left over = 1 - 34/40
40 / 40 - 34/40 = 6 /40
To transform to the simplest form. divide both the numerator and the denominator by 2
3/20
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
Shelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?
Answer:
28¢
Step-by-step explanation:
A quarter is 25¢, so 53¢ - 25¢ = 28¢.
i forgot how to do this plz help
Answer:
C. 48°
Step-by-step explanation:
Please answer the question bellow
No solution
because delta ( b^2 - 4ac ) is lower than 0(zero) .
HELP PLEASE Quadratic Equations Math Nation
Answer:
its 5/6
Step-by-step explanation:
we just group things around and we have this
36 m^2 - 60 m = -25
Alternate forms:
12 m (3 m - 5) = -25
36 m^2 - 60 m + 25 = 0
Solution:
m = 5/6
Remove parentheses using the distributive property 9 ( x + 8)
Answer:
9x + 72
Step-by-step explanation:
Answer:
9x + 8
Step-by-step explanation:
Hope this helps have a nice day :)
*You don't have to read this part*
Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.
Mike has a fish tank in the shape of a rectangular prism with dimesions of 6 feet by 5 feet by 3 feet. He has a canister that he uses to fill up the fish tank that is in the shape of a cylinder with a diameter of 2 feet and a height of 4 feet. How many tiems will he need to fil up the canister to fill up the tank?
Answer:
7 times
Step-by-step explanation:
To answer this question :
1. the volume of the rectangular prism has to b determined
2. the volume of the cannister has to be determined
3. divide the volume of the rectangular prism by the volume of the cannister
Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³
Volume of a cylinder = πr²h
where
h = height
π = 3.14
Diameter = 2r
radius = 2/2 = 1 feet
3.14 x 1 x 4 = 12.56 feet
90 / 12.56 = 7.2 times
Approximating to the nearest whole number gives 7 times
HELPP! this is my second time uploading this question:,,)
George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
Which value of "X" is a solution to this equation?
4x2 +22x +10
Answer:
Two solutions: X = -5 and X = -0.5
Step-by-step explanation:
4x^2 + 22x + 10 = 0 // divide by 2
2x^2 + 11x + 5 = 0
delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81
sqrt(delta) = 9
x1 = (-11 - 9) / 4 = -5
x2 = (-11 + 9) / 4 = -0.5
Evaluate the expression below
(1/7)³
Answer:
1/49
Step-by-step explanation:
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} [/tex]
HELP!!! answer quickly pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.
3)
The first number minus the second number
is always eight
Answer:
Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8
Step-by-step explanation:
Solve. Round to the nearest hundredth.
(Help! Will give brainliest)
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Plz help ASAP I will mark u branliest
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
a) 0
b) 3
c) -3
d) undefined
Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons
Za and Zb are complementary angles. Za measures 37°.
What is the measure of Zb?
Answer: 53 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.
Since you started recording it on your calendar. There have been 112 sunny and 42 rainy days. What has been the rainy day to sunny day ratio?
Answer: 3:8
Step-by-step explanation:
Number of rainy days = 42
Number of sunny days = 112
To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:
= Number of rainy days / Number of sunny days
= 42 / 112
= 3/8
Therefore, the ratio of rainy days to sunny days will be 3:8
Help please I’m being timed!!
Answer:d
Step-by-step explanation:
What is the following product
Answer:
the answer is 7x^2-12x square root of 14 +72 (option 2)
Step-by-step explanation:
Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)
Answer:
(-12 , 2)
Step-by-step explanation:
GIVEN :-
Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)TO FIND :-
Co-ordinates of another endpoint.FACTS TO KNOW BEFORE SOLVING :-
Section Formula :-
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =
[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]
PROCEDURE :-
Let the co-ordinates of another endpoint be (x , y)
So ,
[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]
First , lets solve for x.
[tex]=> \frac{x - 4}{2} = -8[/tex]
[tex]=> x - 4 = -8 \times 2 = -16[/tex]
[tex]=> x = -16 + 4 = -12[/tex]
Now , lets solve for y.
[tex]=> \frac{y - 10}{2} = -4[/tex]
[tex]=> y - 10 = -4 \times 2 = -8[/tex]
[tex]=> y = -8 + 10 = 2[/tex]
∴ The co-ordinates of another endpoint = (-12 , 2)
what are systems of equations and inequalities definitions?
Answer:
A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.
Step-by-step explanation:
Hope this helps. :D
Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?
Answer: 4 + 2w
Step-by-step explanation:
The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:
h = 4 + 2(w)
h = 4 + 2w
For example, the height of the tomato plant in inches after 5 weeks will be:
h = 4 + 2w
h = 4 + 2(5)
h = 4 + 10
h = 14 inches
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between the ground and the ladder
Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
Solve for the given variable in the equation: ½ n - 3 = 5
n = _______
Answer:
The correct solution is "n = 16".
Step-by-step explanation:
The given equation is:
⇒ [tex]\frac{1}{2} n-3=5[/tex]
On adding "3" both sides, we get
⇒ [tex]\frac{1}{2} n-3+3=5+3[/tex]
⇒ [tex]\frac{1}{2}n=8[/tex]
On applying cross multiplication, we get
⇒ [tex]n=8\times 2[/tex]
⇒ [tex]n=16[/tex]
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
Hope this helps
