Answer:
The fraction 53 9 is equivalent to 5 8 9.
Step-by-step explanation:
This fraction is a improper fraction once the absolute value of the top number or numerator (53) is greater than the absolute value of the bottom number or denomintor (9). So, the equivalent fraction is a mixed number which is made up of a whole number (5) and a proper fraction ( 8 9 ).
[tex]53 \frac{9}{10}[/tex]
53.9 can be split into 53 and .9
53 is the whole number
.9 is in the tenths place so it can be written out of 10: [tex]\frac{9}{10}[/tex]
It doesn't need to be simplified leaving us with 53 [tex]\frac{9}{10}[/tex]
How do I solve a system of equations algebraically with a substitution method and then write it as a coordinate point?
y = 3x -17 and y = -2x + 8
The yearly compound interest on sum of money in one and two years are RS 1800 and RS 3816 respectively. calculate the rate of compound interest and the principal.
Answer:
The rate of interest is 12 %.
Step-by-step explanation:
The yearly compound interest on sum of money in one and two years are RS 1800 and RS 3816 respectively.
[tex]1800 = P\left ( 1+\frac{r}{100} \right )- P.... (1)\\\\3816 = P\left ( 1+\frac{r}{100} \right )^2- P.... (2)\\\\Divide (2) by (1)\\\\\frac{3816}{1800}=\frac{\left ( 1+\frac{r}{100} \right )^2-1}{\left ( 1+\frac{r}{100} \right )-1}\\\\38.16 r = 1800 (1 +0.0001 r^2 + 0.02r -1)\\\\r = 0.12 =12 percent[/tex]
The perimeter of the outer square in thiæ pattern is 8
Ron says, “The perimeter of the inner square is 4"
Do you agree with Ron? Yes
Show workings to support your answer.
Answer:
The answer is Yes .. Ron is correct
Step-by-step explanation:
This is because each side of the outer square is 2 units summing up to 8 units. So dividing each into two equal parts give 1 unit each.
Each side of the inner square divides the outer square into two making each side 1 unit.
The inner square thus takes 1 unit for it's side summing the perimeter to 4 units.
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
answer is
B. 6√2
hope this helps!
Ratio Question:
Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.
Answer:
i dont under stand but i will just ask for help to my father
Step-by-step explanation:
i dont wnow the answer!???
Answer:
Step-by-step explanation:
[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]
[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]
[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]
[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]
[tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]
[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]
Therefore ,
Florence earned $24
Anona earned 24 + 16 = $40
Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32
Alissa's budget is shown in the circle graph below. Her total monthly budget is $1,500. How much dos Alissa spend on rent?
Answer: C) $450
Step-by-step explanation:
If her rent is 30% of her total budget we can multiply by 0.3 to find how much is spent on rent.
1500x0.3=450
Alissa spends $450 on rent.
Answer:
C
Step-by-step explanation:
1. Find how much 30% of $1500
(30/100) x $1500 or ($1500 x 100)/30
2. Finish.
Hope this helps
PLS HELP PLS In the diagram below, ΔABC ≅ ΔDEF. Complete the statement ∠B ≅
A. ∠D
B. ∠A
C. ∠C
D. ∠E
Answer:
Angle B is congruent to Angle E.
Step-by-step explanation:
Also, if youve read Romeo and Juliet, please help me! My essay is due tomorrow. I just need informal help, no specific lines or anything
In the diagram below, ΔABC ≅ ΔDEF. Therefore, by CPCT, ∠B = ∠E.
What is CPCT?
Corresponding parts of congruent triangles or CPCT is used to denote the relation between the sides and the angles of two congruent triangles.
Since, ΔABC ≅ ΔDEF,
AB = DE
BC = EF
AC = DF
∠A = ∠D
∠B = ∠E
∠C = ∠F
Learn more about CPCT here
https://brainly.com/question/21360865
#SPJ2
(30 points PLS HElP)
Type the correct answer in each box.
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base.
Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
V =äa2h
Here, ais the side length of the pyramid's square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
2+
= 0 can be used to find that the
length of the sculpture's base is
centimeters.
Step-by-step explanation:
the answer is in the image above
Answer:
x = 9 cmHope this helps you.
Hey there, please help me. Thank you
Answer:
x=5
Step-by-step explanation:
32 = 2^x
Rewrite 32 as 2^5
2^5 = 2^x
Since the bases are the same, the exponents are the same
5 =x
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]2^{5}=2*2*2*2*2=32[/tex]
Hope this helps
como se lee log 27=3
Step-by-step explanation:
log 27 a la base 3 = 3 (In spanish)
log 27 to the base 3 = 3
Please answer either or all of them and please show me how you solve it
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
4^2 + y^2 = 21^2
16 + y^2 = 441
y^2 = 441 - 16
y^2 = 425
[tex]y = \sqrt{425}[/tex]
[tex]y = 5\sqrt{17}[/tex]
y = 13.2
a^2 + b^2 = c^2
4^2 + x^2 = 7^2
16 + x^2 = 49
x^2 = 40 - 16
x^2 = 33
x = [tex]\sqrt{33}[/tex]
x = 5.7 m
Can anyone help me out
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
j/k - 0.2k
j = 25
k = 5
Step 2: Evaluate
Substitute in variables: 25/5 - 0.2(5)Divide: 5 - 0.2(5)Multiply: 5 - 1Subtract: 4Which 2 of these triangles have the same angles as each other? NEED ANS ASAP GIVING U 15points
write an equation of the line in standard form that represents each graph
Answer:
x+y=3
Step-by-step explanation:
y=mx+b
m=-1
b=3
y=-x+3
add x over for standard form
x+y=3
What is the slope of the line graphed below? (PLEASE ANSWER IMMEDIATELY)
Answer:
-2/-3
Step-by-step explanation:
5(x+y)-3(x-y) A. 2x B. 2x+2y C. 2x+8y D. 8x+8y
PLEASE HELP I ONLY HAVE A FEW MINUTES LEFT!!
If the graph is translated 3 units right and 8 units down, what is the new equation of the function?
y= |x-4| +2
y= |x+1| -3
y = |x+4| +2
y = |x-1| -3
Answer:
Should be B
Step-by-step explanation:
I believe you just move the point that lines converge down 8 and to the right 3. Then you multiply the x-value by -1.
Solve for y.
3= y+7 divided by 3
Y=
Answer:
y=2
Step-by-step explanation:
3 = (y+7)/3
Multiply each side by 3
3*3 = (y+7)/3 *3
3*3 = y+7
9 = y+7
Subtract 7 from each side
9-7 = y+7-7
2 =y
Answer:
2 = y
Step-by-step explanation:
3 = y + 7 ÷ 3
multiply both side of equation by 3
3 × 3 = y + 7 ÷ 3 / 3
9 = y + 7
subtract 7 from both side
9 - 7 = y + 7 - 7
2 = y
Riley has 3 hours to play before dinner. She spends 3/5 of that time playing outside. How long does riley play outside
Answer:
1.8 hours
hope that helps<3
Answer:
1.8 hours is the answer
hey! please help with this!!! Write all the 12 answer of measurements. If you can’t do it and you think it’s a lot you don’t have to! okay but I need this done asap! thank you so much have a amazing day!!! :) *spam? May b!*
Answer:
1) 1 and 4
2) 1 and 2
3) 1 and 5
4) 2 and 3
5) 130°
6) 90°
7)25°
8) 115°
x°
1
63°
m
n
find the value of x
Answer:
I believe its 63°......,.,..,.,.,.,
Plz someone help me out in this
Answer:
0.17
Step-by-step explanation:
41×cos(D) = 9
cos(D) = 9/41
=>
in a circle with the radius of 41 the point on the circumference of the circle for the angle D has an x-distance from the center of the circle of 9.
therefore, cos(D) = that x-distance divided by the radius (as the trigonometric functions only deliver the values for the norm circle with radius 1).
what is the y-distance (sin(D)×41) ?
r² = x² + y²
41² = 9² + y²
1681 = 81 + y²
1600 = y²
y = 40
therefore, sin(D) = 40/41
tan(D) = sin(D)/cos(D)
you know how to divide 2 fractions with each other ?
by multiplying the 2 outer factors (to top-most and bottom-most) as the top part of the result, and by multiplying the 2 inner factors for the bottom part of the result.
(40/41 - 9/41) / (40/41 / 9/41) =
= 31/41 / (40×41 / 9×41) = 9×41×31 / 40×41×41 =
= 9×31 / 40×41 = 279 / 1640 ≈ 0.17
can anyone tell me :
[tex] {a}^{2} + {b}^{2} [/tex]
[tex] \large \boxed{ {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab}[/tex]
The formula is derived from the (a+b)² which can be expanded as:
[tex] \large \boxed{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }[/tex]
Now since we only want a²+b² and not 2ab. We can add -2ab after (a+b)² which result in (a+b)²-2ab. This formula is pretty useful it comes to higher maths.
Answer
a²+b² = (a+b)²-2abIf this is not what you are looking for then let me know through comment!
PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEE WITH THIS I DO ANYTHING JUST HELP
Task #4 Gamers and Game World
Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.
a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.
b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.
c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.
d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.
e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.
f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?
Answer:
a)....it would cost 12 dollars
the equation is.... 2x 6(number of downloads)
b) C = 15 + (dx0.5)
c) the graph represents gamers price model
d) gamers would be cheapest
gamers would be 8 x 2 = 16
gameworld would be 15(monthly subs) plus 0.50 x 8 (4 dollars) = 19
e) totally depends upon the number of games downloaded by each person.
for up to 10 games per month Justin is on the best deal
exactly 10 games per month makes both deals equal
over 10 games per month Kenny is on the best deal
find the gradient and y intercept of 3x+4y=5
Answer:
gradient = - [tex]\frac{3}{4}[/tex] , y- intercept = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 5 ( subtract 3x from both sides )
4y = - 3x + 5 ( divide terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{5}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex] and y- intercept c = [tex]\frac{5}{4}[/tex]
Trees are planted on both sides of a road that is 0.28km long. If the trees are planted at intervals of 4m , how many trees were planted?
Answer:
140 trees
Step-by-step explanation:
Number of trees planted on one side of the road = length of the road / intervals
1000m = 1km
0.28 x 1000 = 280m
280 / 4 = 70
number of trees planted on both sides of the roads = 70 x 2 = 140 trees
What two whole numbers does √89 fall in between ?
Answer:
9 and 10
Step-by-step explanation:
To work this out, you can either evaluate [tex]\sqrt{89}[/tex] or find the 2 closest perfect squares to 89.
With the second method, the 2 closest perfect squares are 81 and 100, otherwise known as 9² and 10². This means [tex]\sqrt{81}[/tex] is between 9 and 10.
With the first method, the result is 9.4339811320... which is between 9 and 10.
I'm always happy to help!
Answer: 9 and 10
Step-by-step explanation:
PLEASE HELPPP URGENTTTT HIRRRYYY
Answer:
c
Step-by-step explanation:
m=28g
m=28(20)
m=560
which of the following is the correct graph of the linear equation below? y+2=1/5(x+1)
Answer:
Step-by-step explanation:
This almost should be reported. But here is the graph you are looking for.
It has to have a y intercept of about -2 and an x intercept of 9.
To make 3 glasses of orange squash you need 600 ml of water. How much water do you need to make: a) 5 glasses of orange squash, b) 7 glasses of orange squash?
Answer:
To make 3 glasses of orange squash you need 825 ml of water and 75 ml of orange cordial
Step-by-step explanation:
