Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.
The equation represents the total liters of acid that are needed is,
[tex]0.5x+0.9y=6[/tex]
Thus the option 3 is the correct option.
What is allegation?Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.
Given information-
A scientist needs 10 L of a solution that is 60% acid.
The percentage of two acid solution are 50% and 90%.
Variable x represent the number of liters of the 50% solution.
Variable y represent the number of liters of the 90% solution.
Quantity of acid from 50% solution is [tex]0.5x[/tex] liters, and quantity of acid from 90% solution is [tex]0.9x[/tex] liters.
As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,
[tex]a=10\times\dfrac{60}{100} \\a=6[/tex]
Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,
[tex]0.5x+0.9y=6[/tex]
This is the required equation.
Hence the equation represents the total liters of acid that are needed is,
[tex]0.5x+0.9y=6[/tex]
Thus the option 3 is the correct option.
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The price of a wardrobe is decreased by 38% and now is $27.28.
Find the original price.
Answer:
$44
Step-by-step explanation:
The original price of the wardrobe = 100%
If the wardrobe was decreased by 38%, then the discounted price of the wardrobe = 100% - 38% = 62%
Therefore, $27.28 = 62% of the original price.
62% = 62/100 as a ratio
Using ratios, and letting [tex]x[/tex] be the original price:
27.28/[tex]x[/tex] = 62/100
Cross multiply: 27.28 x 100 = 62 x [tex]x[/tex]
2728 = 62[tex]x[/tex]
Divide both sides by 62: 44 = [tex]x[/tex]
Therefore, the original price of the wardrobe was $44
Alternatively, divide 27.78 by 62 to get the cost per 1%. Then multiply this by 100 to get the original price (100%):
(27.78 ÷ 62) x 100 = 44
An an envelope is 10 in long and 6 in tall what is the area
Answer:
The area of the envelope is 60 in²
Step-by-step explanation:
Area = Length x Width
So, let's substitute in the numbers!
Area = 10 in x 6 in
Area = 60 in²
Five eighths of the members of a soccer team ride the bus. If there are 24 members on the soccer team, how many members ride the bus? Explain how to use equivalent fractions to solve.
How many members ride the bus?
Answer:
15
Step-by-step explanation:
"of" means times (×)
[tex]\frac{5}{8} \times\frac{24}{1}[/tex]
Multiply across:
[tex]5\times 24=120[/tex]
[tex]8\times 1= 8[/tex]
[tex]\frac{120}{8}[/tex]
Divide:
[tex]120\div8=15[/tex]
Therefore, 15 people on the soccer ride the bus.
On Monday, Homeroom 104 turned in 64 canned goods. This is 17 less than the number of canned goods Homeroom 106 turned in. Select the equation that could be used to find the number of canned goods c Homeroom 106 turned in on Monday.
A) c−64=17
B) 64−c=17
C) c+64=17
D) 17+c=64
what is the missing number?10, 5, 13, 10, 16, 20, 19, ?
Answer: 20
Step-by-step explanation:
For what positive integers c, with c < 100, does the following quadratic have rational roots? 3x^2 + 20x + c
There are rational roots for [tex]c = \frac{100}{3}[/tex].
How to find if second order polynomials are real and rational
For second order polynomials of the form [tex]a\cdot x^{2} + b\cdot x + c = 0[/tex], where [tex]a, b,c \in \mathbb{R}[/tex]. roots are real if [tex]b^{2}-4\cdot a\cdot c \ge 0[/tex]. In addition, roots are rational if [tex]b^{2}-4\cdot a \cdot c = 0[/tex].
If we know that [tex]a = 3[/tex], [tex]b = 20[/tex] and [tex]c < 100[/tex], then the discriminant must be [tex]400-12\cdot c \ge 0[/tex]. We must consider the following case:
Discriminant is 0[tex]400 - 12\cdot c = 0[/tex]
[tex]c = \frac{100}{3}[/tex]
There are rational roots for [tex]c = \frac{100}{3}[/tex]. [tex]\blacksquare[/tex]
To learn more on second order polynomials, we kindly invite to check this verified question: https://brainly.com/question/4119784
How do I solve it I’m getting it wrong
Answer:
5). 2/3 divided by 1/2 answer is 1/6 and 6). 75cm and 2 3/4 times ...answer is 2.7x10-5 or ,2.7x10.5
Step-by-step explanation:
hope its help sana makatulong
Type the missing number in this sequence: 3, 9, 27, 81, 243, ......
Answer:
the next number is 729
Step-by-step explanation:
Each number is multiplied by 3 to get the next number,
[tex]3*3=9\\9*3=27\\27*3=81\\81*3=243\\[/tex]
so if we follow this pattern, the next number should be.....
[tex]243 *3= 729[/tex]
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
please help me
math math math
Answer:
[tex]3b^{4}[/tex]
Step-by-step explanation:
[tex]36a^{4} b^{7} / 12a^4b^3\\[/tex]
Break it down step by step.
[tex]36/12=3\\a^4-a^4=0\\b^7-b^3=4[/tex]
Answer:
he is right
Step-by-step explanation:
2(3x+4) = 32 show work please
Answer:
x = 4Step-by-step explanation:
2(3x+4) = 32 show work please
2 * (3x + 4) = 32
6x + 8 = 32
6x = 24
x = 24 : 6
x = 4
-----------------------------
check
2 * (3 * 4 + 4) = 32
2 * 12 + 8 = 32
32 = 32
the answer is good
Answer:
The value of x is 4.
Step-by-step explanation:
CONCEPT :
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
To solve this equation, we'll use this given concept :
[tex]\begin{gathered}\qquad{\twoheadrightarrow{\sf{2(3x + 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(2 \times 3x) + (2 \times 4) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{(6x) + (8) = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x + 8 = 32}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 32 - 8}}}\\\\\qquad{\twoheadrightarrow{\sf{6x = 24}}}\\\\\qquad{\twoheadrightarrow{\sf{x = \dfrac{24}{6}}}}\\\\\qquad{\twoheadrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\boxed{\sf{\purple{x = 4}}}}}\end{gathered}[/tex]
Hence, the value of x is 4.
[tex]\rule{300}{2.5}[/tex]
Four-tenths of the 20 pens in a drawer have blue ink. How many pens with blue ink are in the drawer?
Answer:
8.
Step-by-step explanation:
10 into 20 is 2.
Multiply 2 x 4
state if the two triangles are congruent if they are state how you know
Answer:
You will now because the sides are equal. All sides must be equal to be congruent.
Step-by-step explanation:
angelo cooks 4 kilograms of pasta for dinner. There are 2 kilograms of pasta left after dinner. Choose True or False for each statement.
Answer:
false false true and false
Step-by-step explanation:
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
O A. log 3
B. log(2) + log(1/6)
O C. log 2
D. log(1/3)
Answer:
log (1/3)
Step-by-step explanation:
[tex] log \: 2 - log \: 6 \\ \\ = log \frac{2}{6} \\ \\ = log \frac{1}{3} [/tex]
If gas is $4. 00/gal, how much does it cost to travel from Portland, Maine, to Orlando, Florida (a distance of 1,500 mi)? Give your answer to the nearest whole dollar. $.
Answer:
300
Step-by-step explanation:
It's gonna cost 300 dollars because you first find how many miles you can get for a gallon and that is 20 miles so you do 1500 miles divided by 20 miles which equals 75 then you do 75 times 4 which equals 300!
Please Mark Brainliest
Name each angle in four ways. Then classify the angle as acute, right, obtuse,or straight.
Answer:
The XYZ is a right angled triangle(90)
Step-by-step explanation:
divide (10x⁷ - 8x⁶ + 3x⁴) ÷ x³
Answer:
10x^4 - 8x^3 + 3x
Step-by-step explanation:
[tex]\frac{10x^7-8x^6+3x^4}{x^3} = (10x^7-x^3) + (-8x^6-x^3) + (3x^4-x^3)[/tex] [tex](10x^7-x^3) + (-8x^6-x^3) + (3x^4-x^3) = 10x^4 - 8x^3 + 3x[/tex] [tex]10x^4 - 8x^3 + 3x[/tex]Nia found a fraction that is equivalent to 3_/8. Is Nia’s fraction work, shown below, correct? Explain. 3 × 4/8 × 3= 12/24
Answer:
No because 3/8 is not equivalent to 12/24
Step-by-step explanation:
Which statement describes this pair of congruent triangles?
Н
K
58°
60
62
VA
62
60°
589
M
N
AHK ALMN
O AHKAMLN
AHJK ANLM
AHKANM
Answer:
• Congruent triangles are identical triangles, with same dimensions and same geometry, same area and perimeter.
Step-by-step explanation:
[tex].[/tex]
The Congruent Triangles are HJK and NLM.
What is Congruency?Congruent denotes similarity in size and form. It doesn't matter if they are reversed or mirror reflections of one another. They are regarded as congruent if you could cut them out and stack them side by side to demonstrate that they are the same size and shape.
We have,
In Triangle HKJ
< H is 58 degrees.
< J is 62 degrees.
< K is 60 degrees
and, in Triangle LMN
< N is 58 degrees.
< L is 62 degrees.
< M is 60 degrees.
Thus, Triangle HJK is congruent to Triangle NLM.
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PLEASE HELP ME ASAP.........
Answer:
1/6
Step-by-step explanation:
brainliest please?
try this one please i will give you 50 points
Answer:
18.50 ft
Step-by-step explanation:
Add 1.25 to the length:
3 + 1.25 = 4.25
The formula for the perimeter of a rectangle is: L + L + W + W.
To find the perimeter quicker, multiply the length and width by 2, then add.
5.00(2) = 10.00
4.25(2)= 8.50
10.00 + 8.50 = 18.50
3B. Sarah wrote the whole numbers from 1 to 85 on a sheet of paper. How many
times did Sarah write the digit 7?
Answer:
9
Step-by-step explanation:
7, 17, 27, 37, 47, 57, 67, 77,
mark me as brainliest pls
Answer:
18
Step-by-step explanation:
7,17,27,37,47,57,67,70,71,72,73,74,75,76,77,78,79
The difference of five times a number and 9 is 25. Find the number. No work is needed.
Step-by-step explanation:
3.2
hope it helps .
stay safe healthy and happy.
[tex]\huge\text{Answer:}[/tex]
[tex]\mathrm{The~number~is~3.2.} :)[/tex]
[tex]\huge\text{Step-by-step explanation:}[/tex]
Hi! Hope you are having a fantastic day! :)
Let's say the number is t.
The difference of 5t and 9 is 25. What is t?
[tex]\rm{5t-9 = 25[/tex]
Add 9 to both sides:
[tex]\rm{5t=34}[/tex]
Divide both sides by 5:
[tex]\rm{t=3.2[/tex] (Answer)
Hope you find it helpful.
Fee free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]
A school with 850 students had 24% absent one day. How many students were in school?
Answer
It would be 204 because you would turn that 24% into a decimal which would 0.24 then you times 850*0.24 which equal 204.
Step-by-step explanation:
Ues each digit once make the smallest 4 digit number 3629
Answer:
2369
Step-by-step explanation:
I hope this helps
Can someone help me solve this? :)
What number if doubled gives ninety-eight?
Answer:
49
Step-by-step explanation:
Answer:
98/2=49
Hence, 49 is doubled to get 98.
Step-by-step explanation:
Simplify the exprssion 4x+x+6x,then identify the coefficient
Answer:
Simplified expressions: 11x
Coefficient: 11
Step-by-step explanation:
What's a coefficient?
A coefficient is numerical quantity placed before a variable, such as x (e.g. in 2x, 2 is the coefficient and x is the variable)Step 1: Simplify the expression.
[tex](4x+x+6x)[/tex] [tex]5x + 6x[/tex] [tex]11x[/tex]Therefore, the simplified expression is 11x, and the coefficient is 11.
a desk's lengths of 64cm to the desk's witdth of 28 cm ... write it as a ratio
Answer:
Ratio in length : width = 16 : 7
Step-by-step explanation:
Length : Width = 64 : 28 .............start simplifying it
= 32 : 14
= 16 : 7
Answer:
All box dimensions are written as length x width x height. For example, 14" x 11" x 4" means 14" (L) x 11" (W) x 4" (H)"
Step-by-step explanation:
which answer is it????
Answer:
A
Step-by-step explanation:
1 oboe in every 7 clarinets so there would be 2 in 14 and 3 in 21
