Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
What is the slope of y = 5x – 1?
Answer: The slope is 5
Step-by-step explanation:
The slope of an equation in slope intercept form is always the coefficient of the x variable, or the number that comes before x. And the coefficient of x is 5.
5 fewer than the sum of f and 10
How do you right that in a equation
Answer:
(f + 10) - 5
Step-by-step explanation:
The steps in solving 5b - 6 = 24 are:
Answer:
5
Step-by-step explanation:
5
On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros
Answer:
sry
Step-by-step explanation:
i am new to this
174 i think
Answer:
174
Step-by-step explanation:
find the difference of each number and 4. Complete the table to support your answers. The first example is provided. Number Subtraction Expression Addition Expression Answers 10 10 - 4 10 + (-4) 6 2 -4 -6 1
Answer:
A
Step-by-step explanation:
Just took the quiz
Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.98 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.02. How much does an average movie ticket cost in each of these countries?
Answer:
$79.98-$75.02=$04.96
Answer:
$04.96 is right answer am I right or wrong hope I am right
catie charges an initial amount of $5 for babysitting and the $3 per hour. jolisa does not charge an initial amount but charges $4 per hour. write and solve an equation to find how many hours each girl sill have to babysit to earn the same amount.
Answer:
32
Step-by-step explanation:
5+3=8
8x4=32
4x8=32
5.
2) Which of the following are equivalent to
the ratio, "There are 6 brunettes for every 4
blondes"? CIRCLE ALL THAT APPLY.
A) 4:6
C) 3:2
B) 9:6
D) 2:3
Answer:
b
Step-by-step explanation:
divide them by 2 so you'll get the same answer
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 56 and a standard deviation of 10. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86?
Answer:
97.35%
Step-by-step explanation:
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
From the question, we have the mean of :
Mean of 56 and a standard deviation of 10.
For 36
36 = μ - xσ
36 = 56 - 10x
56 - 36 = 10x
20 = 10x
x = 20/10
x = 2
Hence, the data falls within 2 standard deviation of the mean
Hence, since it is one side,
= 95%
= 47.5%
For 86
86 = μ - xσ
86 = 56 - 10x
56 - 86 = 10x
-30 = 10x
x = -30/10
x = -3
Hence, the data falls within 3 standard deviation of the mean
Hence, since it is 99.7% one side,
= 99.7%
= 49.85%
Hence, we add up
= 47.5% + 49.85%
= 97.35%
The approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86 is 97.35%
Tony needs 6.5 ft. of wood for his fort.
He only has 3.2 ft.
How much more does he need?
A triangular bike path is exactly 9 miles long. If each of the three connecting paths is a whole-number of miles long, which could be the lengths of the paths?
Answer:
2 miles, 3 miles, 4 miles
Step-by-step explanation:
could yu PLZZZZZZ mark brainliest
Answer:
2 miles, 3 miles, 4 miles
Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water.
Plz help
Find the area of a rectangular movie screen that is 52 feet long and 38 feet high. Use A=LW.
Consider the equation:
2x^2-20x=x^2-19
.Which is larger? ½ of 280or⅜ of 400
Answer:
3/8 of 400
Step-by-step explanation:
3/8 of 400 is 150 while 1/2 of 280 is 140
HELP! help is needed ASAP! help is very much appreciated.
Answer:
Length of side e is 4.12
Length of side f is 4.24
The length of side f is larger than length of side e
Step-by-step explanation:
We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.
We can use distance formula to calculate lengths of line segments.
The Distance Formula is: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Finding length of side e:
We are given points (-2,3) and (-1,-1)
here we have [tex]x_1=-2, y_1=3, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12[/tex]
So, Length of side e is 4.12
Finding length of side f:
We are given points (2,2) and (-1,-1)
here we have [tex]x_1=2, y_1=2, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24[/tex]
So, Length of side f is 4.24
The length of side f is larger than length of side e
Can u help me with 5 6 7 and 8
Answer:
y/x
5. -6/1
6. 2/3
7. 2/16
8. -12/1
anyone know how to do this?
question in the picture!
looking for the answer of 1) by the way! :))
m^2= 100, n^2 = 400, k^2=1600. What is
the greatest value of 2m + 3n + 4k = ?
A) 270 B) 260 C) 250 D) 240
Answer:
D).
Step-by-step explanation:
usually you got = 2(10)+3(20)+4(40) =240
Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10x + 20 = 80
B. 20x + 10 = 80
C. 80x - 20x = 10
D. 10x + 20x = 80
Given:
Michelle plans on raising $80.
Selling price of each shirt = $10
So far she has raised $20.
To find:
The number of more shirts she needs to sell.
Solution:
Let x be the number of more shirts she needs to sell.
Selling price of one shirt = $10
Selling price of x shirt = $10x
Total raising amount = $(10x + 20)
Michelle plans on raising $80. So,
[tex]10x+20=80[/tex]
Subtract both sides by 20.
[tex]10x=80-20[/tex]
[tex]10x=60[/tex]
Divide both sides by 10.
[tex]x=\dfrac{60}{10}[/tex]
[tex]x=6[/tex]
So, the required equation is [tex]10x+20=80[/tex]
Therefore, the correct option is A.
The bike cost $120. The sales-tax rate was 8%. What is
the total cost of the bike including sales tax?
Answer:
$129.6
Step-by-step explanation:
just use ur calculator i think
Answer:
$129.60
Step-by-step explanation:
8 percent of 120 is 9.6
9.6+120=129.6
Two neighbors in a rural area want to know the distance between their homes in miles. What should the neighbors use as a conversion factor to convert this distance to miles ?
Answer:
1 foot = 0.000189394 miles
Step-by-step explanation:
The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.
Since,
1 foot = 0.000189394 miles
Let us assume that the distance between the two houses is 500 feet, then;
1 foot = 0.000189394 miles
500 feet = x miles
x = 500 x 0.000189394
= 0.094697
So that for the considered example, the distance is approximately 0.095 miles.
Thus, the required conversion factor is;
1 foot = 0.000189394 miles
:((( please answer! Thanks.
Answer:
66
Step-by-step explanation:
71+43=114
180-114=66
Answer:
66
Step-by-step explanation:
a) Caesar, a leader of Rome, was born in 25 B.C.E. (before the year 0) and died in the
year 44. How old was he when he died?
Answer:
55
Step-by-step explanation:
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which expression is equivalent to 5(8 + 9)? HELP ASAP
A. 40+45
B. 13+9
C. 13+14
D. 40+9
He transformation function is (x, y) --> (x + 4, y - 2). The starting point is point A at (-5, 6). Step 1: A: (-5, 6) x: , y: Step 2: Substitute x and y into (x + 4, y - 2): ( + 4, - 2) Step 3: Do the math: Point A' is at ( , )
Given:
Rule of transformation is [tex](x,y)\to (x+4,y-2)[/tex].
Point = (-5,6)
To find:
The missing values in the given steps of transformation.
Solution:
Step 1: A: (-5, 6).
[tex]x:-5,y:6[/tex]
Step 2: Substitute x and y into [tex](x+4,y-2):[/tex]
[tex](-5+4,6-2)=(-1,4)[/tex]
Step 3: Do the math:
Point A' is at (-1 ,4 ).
Therefore, the coordinates of the point (-5,6) after the transformation are (-1,4).
Hey! Could anyone solve this problem for me in a step-by-step explanation? If so, thank you! (ASAP!!)
Answer:
-8/15
that's it
Step-by-step explanation:
i cant explain
Answer:
option d
Step-by-step explanation:
[tex]\frac{4}{9}[/tex] ÷ [tex]-\frac{5}{6}[/tex]
take reciprocal of -5/6, [when you take reciprocal, the '÷' sign will become '×' sign]
⇒ [tex]\frac{4}{9}[/tex] × [tex]-\frac{6}{5}[/tex]
⇒ 4 × -6 / 9 × 5
⇒ [tex]-\frac{24}{45}[/tex]
⇒ [tex]-\frac{8}{15}[/tex]
therefore, option d is the correct option
PLSS HELP AND DON'T DO IT FOR THE POINTS AND THE FIRST PERSON TO HELP GETS BRAINLIEST
Answer:
okay I will do fast give me free points
What is the value of x?
4/5 x - 1/10 = 3/10
These are the answer choices.
1/4
8/25
2/5
1/2
Answer:
x=1/2
Step-by-step explanation:
4/5x-1/10=3/10
4/5x=2/5
x= 1/2.
Hope this helps :D