Answer:
$360
Step-by-step explanation:
The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.
This would be 6x : 4x : 5x
Khairul gives $30 to Michael and $15.
The ratio is. Now;
(6x - 45) : (4x + 30) : (5x + 15)
We are told this is equal to the ratio 7:6:7
Thus;
((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7
(10x - 15)/(5x + 15) = 13/7
Factorize the left hand side;
5(2x - 3)/5(x + 3) = 13/7
5 will cancel out to get;
(2x - 3)/(x + 3) = 13/7
Cross multiply to get;
7(2x - 3) = 13(x + 3)
14x - 21 = 13x + 39
14x - 13x = 39 + 21
x = 60
Amount Khairul had initially was denoted as 6x.
Thus,6x = 5 × 60 = $360
Translate the verbal expression into an algebraic expression
Six more than the quotient of a number and 4.
Answer:
4x+6
Step-by-step explanation:
The quotient of a number and 4 translates to 4x because, "a number" in the expression is x, and it is being multiplied by 4, so you get 4x. six more than would mean adding 6. So the answer would be 4x+6. Thank you! Good Luck!
Which statement is true? Select all that apply?
A) 2/7 x 3/8 < 3/8 because 2/7 < 1
B) 2/7 x 3/8 > 3/8 because 2/7 > 1
C) 2/7 x 3/8 > 2/7 because 3/8 > 1
D) 2/7 x 3/8 < 2/7 because 3/8 < 1
Please help!! Brainliest for right answer!!
Answer:
(f o g)(x) = 4x^2 - 8
Step-by-step explanation:
(f o g)(x) = f(g(x))
f(x) = x^2 - 8
g(x) = 2x
f(g(x))
f(2x) = (2x)^2 - 8
= 4x^2 - 8
(f o g)(x) = 4x^2 - 8
andre and Elena are each saving money. Andre starts with $100 in his savings account
nd adds $5 per week. Elena starts with $10 in her savings account and adds $20 each
jeek.
1. Write an equation in y= mx + b form to represent at what rate Elena and Andre are
aving their money.
Y=mx+b
Answer:
Andre y=5x+100
Elena y=20x+10
the rate Elena is 20
the rate Andre is 5
Step-by-step explanation:
Which number line model represents the expression -4+7.25
Answer: c
Step-by-step explanation: start at -4 then add 7 to that then .5
What is a counterexample for 3/4 and 6/8
Answer:
While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
HELP! have this assignment due in 30 mins and i dont know how to do this please help i have a D in this class
1 A rectangular playground has a width of 540 feet and a length of 810 feet. Martina makes a scale model of the playground using a scale of 4 cm :
30 ft .What are the dimensions of Martina’s scale model?
A135 cm by 202.5 cm
B72 cm by 108 cm
C54 cm by 81 cm
D18 cm by 27 cm
Answer:
A
Step-by-step explanation:
there are 135 '4cm' segments in 540 feet; 540 ÷ 4
there are 202.5 '4cm' segments in 810 feet; 810 ÷ 4
Can someone help me with this please?
Answer:3:7
Step-by-step explanation:
A srtuv
B srvut
C vrust
D rsvut
Answer:
B. srvut
Step-by-step explanation:
To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.
Hope this helps :)
1/3 of 5/8 as a fraction
Answer: how are you doing this tho
Step-by-step explanation:
The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
1/3 of 5/8 as a fraction
Let x be the fraction:
x = 1/3 of 5/8
Or
x = (1/3)(5/8)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
After multiplication:
x = 5/24
Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Of the flowers in Bella’s garden, 5/8 are tulips. What percent of the flowers in the garden are tulips?
Answer:
62.5
Step-by-step explanation:
1/8 and 9/5 common denominator and solve the problem
Answer:
Step-by-step explanation:
You haven't stated a problem. Do you want to add the fractions together? Subtract them?
Least common multiple of 8 and 5 is 40.
1/8 = 5/40
9/5 = 72/40
1/8 + 9/5 = 5/40 + 72/40 = 77/40 = 1 37/40
A principal of $7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)
Answer:
$2,874.19
Step-by-step explanation:
Hope this helps
Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
On a separate sheet of paper practice drawing a 10ft. Vertical line at three different scales using American system:
1) 1/2” = 1’;
2) 1/2” = 1’;
3)1/8” = 1’;
Draw also 12m. Vertical line at three different scales using the Metric System
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
A street on a block plan is drawn at a scale of 1”=50’. When the drawing is measured with a ruler, the street is 1/2” wide. How wide is the actual street? Explain
Answer:
A street on a block plan is drawn at a scale of 1”=10’. When the drawing is measured with a ruler, the street is 5” wide. How wide is the actual street? Explain
Answer:
In your own words describe the three types of scale answer here:
En una Homs de paper separada, practique el dibujo de una linea vertical de 10 pies a tres escalate diferentes untilizando Sistema Americano:
1/2 “=1’;
1/2 “=1’;
1/8 “=1’;
Dibuja tamben una linea vertical de 12m. A tres escalas diferentes untilizando el Sistema Metrico:
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;
Una Calle en un plano de bloque se dibuja a una escala de 1 “=50 cuando el dibujo se mide con una regal, la calle tiene 1/2 “de ancho qué anchura real tiene la Calle? Explique
Una Calle en un Plano de bloque se dibuja a una escala de 1 “= 10 cuando el dibujo de mide con una regal, la Calle tiene 5 “ de ancho qué anchura real tiene la Calle? Explique
En sus palabras descibe las tres tipos de escala.
Escribe Aqui:
Help me
Answer:
Step-by-step explanation:ok
[tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]
can someone please solve this?
Answer:
[tex]\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}[/tex]
Step-by-step explanation:
Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } [/tex]
Let's simplify the equation :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}[/tex]
14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) What is the summation notation for the arithmetic series? Enter the correct values for x, y, and z.
x =
y =
z =
Answer:
total -70
Step-by-step explanation:
x =18
y=-28
Z = -60
An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
The Total value is = -70
x = 18
y = -28
Z = -60
Calculation of Arithmetic SeriesAn Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
1st an 2nd element difference is = 14 - 6 = 8
2nd and 3rd element difference is = - 6 - 2 = -8
3rd and 4th element difference is = - 2 + 10 = 8
4th and 5th element difference is = -10 + 18 = 8
The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.
Now, Proof of x,y and z = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Therefore, The value is = total -70
x = 18
y = -28
Z = -60
Find more information about Arithmetic Series here:
https://brainly.com/question/24295771
Divide. Enter your answer as a fraction in simplest form.
1/5 divided by 11/15
The ladder of a fire truck extends 41 ft. to the top of the
building. If the distance between the wall and the base of the
ladder is 9ft. How tall is the building?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem a^2+b^2=c^2 or the sum of the squared sides is equal to the hypotenuse squared.
41^2=9^2+h^2
h^2=41^2-9^2
h^2=1600
h=40 ft
Find the total cost, to the nearest cent, for a meal at a restaurant that cost $19.74 with
an additional sales tax of 7.5%
PLSSS HELP ASAPPPP I BEG
MARKI BRAINLIST AND GIVING POINTS
Answer:
b = 34
m = 5
f(t) = 5x+34
Step-by-step explanation:
f(0) = 34, so that is its y intercept.
f(t) contains (0,34) and (8,74), which can be used to find the slope:
[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]
Help
Help
Help
Help
Help
Answer:
1.92
Step-by-step explanation:
multipy 8 by .08 to get the sales tax amount
to find the total cost (if you need it) add the sales tax to the original cost
hope it helps
Answer:
1.92
Step-by-step explanation: niueikieoewdn4u
Please help this question finding a side on a triangle
Answer:
The side of the hypotenuse is 12.233 centimeters.
Step-by-step explanation:
The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:
[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.
Then, we clear the variable within (1):
[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]
[tex]x = 13.233\,cm[/tex]
The side of the hypotenuse is 12.233 centimeters.
of 24 maths teachers ,15 of them are left handed . what percentage of the teachers are right handed
Answer:
38%
Step-by-step explanation:
Percentage is 37.5% but you round up
:)
AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.
Answer:
x = 54
Step-by-step explanation:
Since both triangles are similar, therefore,
[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]
[tex] \frac{77}{66} = \frac{63}{x} [/tex]
[tex] \frac{7}{6} = \frac{63}{x} [/tex]
Cross multiply
[tex] 7*x = 63*6 [/tex]
[tex] 7x = 378 [/tex]
Divide both sides by 7
x = 54
The doctor prescribes Sam a 140 ml bottle of medicine with the instructions to take 5 ml twice a day. How long does the medicine last? Show your solution
Answer:
14 days
Step-by-step explanation:
14
can you help me in that problem
Answer:
(x - 10, y - 13)
Step-by-step explanation:
We have two shapes on a graph and the question is asking for the translation of rhombus QRST to rhombus Q'R'S'T.
Looking at the graph we can see that not only does the rhombus move backwards, but also downward, this indicates that our answers will be in a subtracting symbol.
So all we have to do is count the amount of spaces rhombus QRST went to get to rhombus Q'R'S'T
Jesse rides his bike to school on most days. The school is 4.5 miles from his house. If it takes him 13.5 minutes to ride to school, what is his rate per mile?
At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP
Answer:
Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better
Step-by-step explanation: