Answer:
The chemist will mix 3 liters of the 5% acid solution and 2 liters of the 10% acid solution to get 5 liters of 7% acid solution
Step-by-step explanation:
Here, we are interested in finding the number of liters of each solution the chemist have to make use;
Let the number of liters of the 5% acid solution be x while the number of liters of the 10% acid solution be y
Mathematically;
x + y = 5 •••••••••(i)
Also, let’s work with the percentages now
( x * 5%) + (y * 10%) = (5 * 7%)
0.05x + 0.1y = 0.35 ••••••••(ii)
From i , x = 5-y
Substitute this into ii
0.05(5 -y) + 0.1y = 0.35
0.25 - 0.05y + 0.1y = 0.35
0.25 + 0.05y = 0.35
0.05y = 0.35 -0.25
0.05y = 0.1
y = 0.1/0.05
y = 2
But x + y = 5
x + 2 = 5
x = 5-2
x = 3
Michael
is planting a garden. The probability that the seed will produce a plant is 9/10. The probability that a seed will produce a plant is
Answer:
I believe the answer should be 90%
Find the coordinates of the midpoint of AS if A(-4, 7) and S(5,3).
Answer:
The answer is
[tex]( \frac{1}{2} \: , \: 5)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-4, 7) and S(5,3)
The midpoint is
[tex]M = ( \frac{ - 4 + 5}{2} , \: \frac{7 + 3}{2} ) \\ = ( \frac{1}{2} , \: \frac{10}{2} )[/tex]We have the final answer as
[tex]( \frac{1}{2} \: , \: 5)[/tex]Hope this helps you
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0.5 \: , \: 5)}}}}}[/tex]
Step-by-step explanation:
Let A ( -4 , 7 ) be ( x₁ , y₁ ) and S ( 5 , 3 ) be ( x₂ , y₂ )
Finding the midpoint
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2})}} [/tex]
[tex] \longrightarrow{ \sf{( \frac{ - 4 + 5}{2} \: , \: \frac{7 + 3}{2}) }}[/tex]
[tex] \longrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{10}{2} }})[/tex]
[tex] \longrightarrow{ \sf{( 0.5 \: , \: 5}})[/tex]
Hope I helped!
Best regards! :D
Please Help! I'll give Brainliest to whoever gets the answer
Andy brings a bag of treats to school to celebrate his birthday. In the bag, he has 22 chocolates, 10 lifesavers, 6 crackers, and 2 sticks of bubble gum. He plans to walk around the room and randomly hand out the treats. YOU are the first person he will give a treat. Find the following probabilities, and write your answers as fractions in simplest form AND decimals AND percentages.
P(shrimp cocktail) = -------------------------------------------------------------
P(lifesaver) = -------------------------------------------------------------
P(stick of gum) = -------------------------------------------------------------
P(chocolate or lifesaver) = -------------------------------------------------------------
P(not crackers) = -------------------------------------------------------------
P(any treat) = -------------------------------------------------------------
Answer:
shrimp cocktail: 0.00 or 0%
lifesaver: 0.25 or 25%
gum: 0.05 or 5%
chocolates or lifesaver: 0.80 or 80%
Not Cracker: 0.85 or 85%
Any treat: 1.00 or 100%
Step-by-step explanation:
First Add all of them together
22+10+6+2=40
now divide
22/40 0.55
10/40=0.25
6/40=0.15
2/40=0.05
add/subtract
0.25+0.55=80%
1-0.15=0.85
Hope this helps! Plz award Brainliest : )
Which expressions are equivalent to 6 +(-x) + 2x + (-7)
+ 2x? Check all that apply.
x + x + 6 - 7 + x
2x+2+x
3- X + 2x - 4 + 2x
X-1
X+1
Answer:
a and c
Step-by-step explanation:
Answer:
A- x + x + 6 – 7 + x
C- 3 – x + 2x – 4 + 2x
Step-by-step explanation:
EDG2021
PLEASE HURRY WILL GIVE BRAINLIEST! Which phrase describes the algebraic expression Three-fourths x + 2? A. three-fourths of a number plus two B.the quotient of four-thirds and two C.the product of three-fourths and two D.the difference between three-fourths of a number and two
Answer: A
Step-by-step explanation:
3/4x+2
3/4+2
Answer:
The answer is A
Step-by-step explanation:
PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST!!
Answer:
where is the question though?¯\_(⊙_ʖ⊙)_/¯
Which expression is equivalent to -7 + 5a?
A. -2a
B. -12a
C. 5a-7
D. -5a +7
Answer:
5a-7
Step-by-step explanation:
-7+5a
We can rearrange the order
5a-7
Answer:
C. 5a-7
Step-by-step explanation:
5a−7 = -7+5a
Evaluate 32 + (8 − 2) ⋅ 4 − 6 over 3 . (1 point
Answer:
The answer would be 54 because you would follow the order of PEMDAS
you would do parentheses first which is 8-2 which is 6 then multiplication
so 6x4 = 24 then addition which is 32+24 which equals 56, then you would do 56-6/3 which would equal 54
Hope this helped
Answer::::::: It is 31
Find the mode(s) for the given sample data 62, 25, 62, 13, 25, 29, 56, 62 a. 25 b. 41.8 c. 62 d. 42.5
Answer:
C
Step-by-step explanation:
First you count out how many of the numbers there are. The one that has the most is the mode
Answer:
C) 62d trust meAsk for further explanations
In 2016 49% of all degrees granted were bachelors degrees if 1,920,718 students earned bachelors degrees how many total degrees were granted that year
Answer:
3919832.65306Step-by-step explanation:
This problem is focused on percentages.
Now given that 49% of a number is 1,920,718
we can say let the number be x
so 49% of x= 1,920,718
now expressing this problem mathematically we have
(49/100)*x= 1,920,718
0.49x= 1,920,718
divide both sides by 0.49 we have
x= 1,920,718/0.49
x= 3919832.65306
Therefore the total that were granted degree that year was 3919832.65306
2.) You can run 1/5 of a mile in 5 minutes. What is your rate per hour?
The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
answer fast I will reward 50 points [] are the exponents Use the given information to complete parts I and II. In your final answer, include all calculations. Planet Earth has an approximate diameter of 1.2742 · 10 [10] millimeters. The sun has a diameter of 1.391 · 10 [6] kilometers. Part I: Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters? Part II: Approximate how many times greater the sun's diameter is than planet Earth's.
Answer:
see below
Step-by-step explanation:
given;
Planet Earth has an approximate diameter of 1.2742 x 10¹⁰ millimeters.
The sun has a diameter of 1.391 x 10⁶ kilometers.
find:
Part I:
Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Earth's diameters?
Part II:
Approximate how many times greater the sun's diameter is than planet Earth's.
-------------------------------------------------------------------------------------------------------
part I:
the best measurement to represent the lengths of the sun and Earth's diameters is kilometers.
= planet dia. = 1.2742 x 10¹⁰ mm x 1 km = 12,742 km
1,000,000 mm
= sun dia. = 1.391 x 10⁶ km = 1,391 x 10³ km = 1,391,000 km
part II:
the approximate scale dia ratio of earth to sun is = sun dia. over earth's dia.
= 1,391,000 km
12,742 km
= 109.17 times
therefore,
109.17 times greater the sun's diameter is than planet Earth's.
Suppose there are 11 freshman, 7 sophomores, 13 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions if the president must be a senior and the secretary must be a freshman
Answer:
7,260 ways
Step-by-step explanation:
Here, we are told that the president must be a senior and the secretary must be a freshman.
Now for the post of President, we have 15 choices to pick from
For the post of secretary, we have 11 choices to pick from
Now the last position, the vice president
Firstly , we have 14 seniors( 1 already president), 10 freshmen(1 already secretary) , 6 sophomores and 13 juniors
So the total number of choices will be;
14 + 10 + 7 + 13 = 44
So the number of ways will be;
44 * 15 * 11 = 7,260 ways
A bicycle rental company charges $14 for the first hour and $5.00 for each additional hour. Determine the maximum number of
hours you can rent a bike if you only have $79.
Answer:____hours
Answer:
13 Hours
Step-by-step explanation:
subtract 14 from 79. That leaves you with 65 dollars. Divide 65 by 5 and you get 13.
X (-9, 2) and Y(5, -4)
Given the points, find XY. Round to the nearest tenth.
Answer:
XY: 15.23
Step-by-step explanation:
Smartness
The distance between the endpoints of line segment XY will be 15.2 units.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The endpoints of line segment XY are given below.
X(-9, 2) and Y(5, -4)
The distance between the endpoints of line segment XY will be given as,
D² = (x - h)² + (y - k)²
D² = (5 + 9)² + (-4 - 2)²
D² = (14)² + (-6)²
D² = 196 + 36
D² = 232
D = √232
D = 15.2 units
The distance between the endpoints of line section XY will be 15.2 units.
Learn more about the distance between two points here:
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I have 30 ones, 2 thousands, 4 hundred thousands,60 tens and 100 hundreds. What number am I?
quotient of twice a number and 6 is 42
Answer:
[tex]n = 126[/tex]
Step-by-step explanation:
First let's model this into an equation.
Twice a number is [tex]2n[/tex], and that divided by 6 is [tex]\frac{2n}{6}[/tex]. That's equal to 42, so we have [tex]\frac{2n}{6} = 42[/tex].
Now we can simplify this equation by isolating n on one side of the equation.
Multiply both sides by 6:
[tex]\frac{2n}{6} \cdot 6 = 42\cdot 6\\\\2n = 252[/tex]
Divide both sides by 2:
[tex]2n \div 2 = 252\div 2\\\\n = 126[/tex]
Hope this helped!
In which of these situations do the quantities combine to make 0?
O A. A bird flies 25 feet up in the air. It then flies 25 feet across to its
nest.
O B. Veronica receives $21 for babysitting. She then spends $21 on a
new shirt.
O C. A player in a game earns 4 points for getting an answer right. She
then earns 4 points for making it around the board,
O D. A car is filled with 10 gallons of gas, Half of the 10 gallons are
then used on a day's drive.
Answer:
b is the correct answer
Option B situations do the quantities combine to make 0.
What are arithmetic operators?Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities. These are also known as mathematical operations.
Addition
The addition is a basic mathematical skill of finding or calculating the total of two or more numbers, or we can say in simple words adding things together. It is denoted by the symbol ‘+’.
Subtraction
The subtraction arithmetic operation shows the difference between two numbers. It is denoted by the symbol ‘-‘. Subtraction is mostly used to find out what is left when things are taken away.
Multiplication
The repeated addition is known as multiplication. It is represented by the symbol ‘×’. Multiplication as an arithmetic operation helps us to find out the total when a number is repeating itself a number of times.
Division
The division is an act of dividing something into equal parts or groups. It is one of the four basic arithmetic operations which gives a fair result of equal sharing.
Option A :
Given
A bird flies 25 feet up in the air. It then flies 25 feet across to its
nest.
So, total distance flown by bird = 25 + 25 = 50 feet
Which do not combine to 0.
Option C :
A player in a game earns 4 points for getting an answer right. She
then earns 4 points for making it around the board.
Hence, total points earned = 4 + 4 = 8
Which do not combine to 0.
Option D :
A car is filled with 10 gallons of gas, Half of the 10 gallons are
then used on a day's drive.
= 10 - [tex]\frac{1}{2}[/tex] × 10
= 10 - 5
= 5
Which do not combine to 0.
Option B :
Veronica receives $21 for babysitting. She then spends $21 on a
new shirt.
So net amount left with Veronica = 21 - 21 = 0
Hence, it combines to zero.
Find out more information about arithmetic operators here
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Which system of inequalities is represented by the graph?
A. y≥1
y−x>0
B. y≤1
y−x 0
2. Which system of inequalities is represented by the graph?
Answer:
B, D
Step-by-step explanation:
1. The shaded area is below the solid line at y=1, so the solution set is partially determined by the inequality ...
y ≤ 1 . . . . . . values of y in the solution set are less than or equal to 1
The shaded area is below the line y=x, so is partially determined by ...
y -x < 0
These inequalities match the second choice.
__
2. The solid boundary line has a slope, rise/run, of 1/3. The shaded area is below it. So the applicable inequality is ...
y ≤ 1/3x +6 . . . . . . matches the fourth choice
Use the commutative property to rewrite the following expression.
-16 · y
Dominic works on the weekends and on vacations from school mowing lawns in his neighborhood. For every lawn he mows, he charges $12. Complete the table. Then determine ordered pairs, and create a labeled graph. 1. How many lawns will Dominic need to mow in order to make $240? _________(blank 1) 2. How much money will he make if he mows 9 lawns? _________(blank 2) Question 1 options: Blank # 1 Blank # 2
Answer:
[tex]20\ lawns = \$240[/tex]
[tex]9 \ lawns = \$108[/tex]
See Attachment for Graph
Step-by-step explanation:
Given
[tex]1\ lawn = \$12[/tex]
Solving (a): Number of lawns in $240
[tex]1\ lawn = \$12[/tex]
Multiply both sides by 20
[tex]20 * 1\ lawn = \$12 * 20[/tex]
[tex]20\ lawns = \$240[/tex]
Solving (b): Cost of mowing 9 lawns
[tex]1\ lawn = \$12[/tex]
Multiply both sides by 9
[tex]9 * 1\ lawn = \$12 * 9[/tex]
[tex]9 \ lawns = \$108[/tex]
To create a graph, we need to generate a formula;
If
[tex]1\ lawn = \$12[/tex]
[tex]2\ lawn = \$24[/tex]
[tex]3\ lawns = \$36[/tex]
[tex]x\ lawns = \$12x[/tex]
So:
The graph formula is
[tex]y = 12x[/tex]
See Attachment for Graph
In a 30-60-90 triangle the long leg is half the hypotenuse.
never
always
sometimes
Answer:
Never
Step-by-step explanation:
In a 30-60-90 triangles:
The length of a hypotenuse side is twice the length of the shorter leg
The length of the Longer side is [tex]\sqrt{3}[/tex] times the shorter leg.
Six friends each use a $2.00 off coupon to buy themselves a movie ticket. They spend a total of 42. What is the price of one movie ticket without the coupon
Answer:
5
Step-by-step explanation:
you would do 42 divided by 7 which is 6 then subtract 2 from 7 and you would get 5
The Gabrielsons ran a family relay race. The distance run by each family member (in kilometers) is listed below.4,11,6,7Find the standard deviation of the data set. Round your answer to the nearest hundredth.
Answer : the standard deviation approximately
2.55km
Answer:
The answer is 2.55
Step-by-step explanation:
Find the mean
4+11+6+7
Apply the formula
SD
= 9+16+1+0/4
=26/4
= 6.5
=2.55
Myra spends $5.70 a day on food and drink during the school year She skips the weekends . How much does she spend for the week?
Answer:
57$
Step-by-step explanation:
5.70 x 2 for both food and drink
the do 11.4 (the answer for the 1st step) x 5 for the week days giving you the answer of 57$
Answer:
$57 dollars
Step-by-step explanation Don't have one but i took the test and got it right
Here are the numbers of supporters at five different ice hockey matches.
75,600
7,506
75,650
7,056
75,026
Is there a question that goes with this?
If so, I'd be happy to help :)
1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1
Answer:
1
Step-by-step explanation:
Anything multiplied 1 is that number
Answer:
1
Step-by-step explanation:
(x2 + 3x – 4) + (2x3 - 2x + 5)
Answer:
step-by-step.
x2+3x−4+2x3−2x+5
=x2+3x+−4+2x3+−2x+5
Combine Like Terms:
=x2+3x+−4+2x3+−2x+5
=(2x3)+(x2)+(3x+−2x)+(−4+5)
=2x3+x2+x+1
Answer:
=2x3+x2+x+1
Answer:
below
Step-by-step explanation:
[tex]( x^{2} + 3x - 4) + ( 2x^{3} -2x = 5) \\x^{2} + 3x - 4 + 2x^{3} - 2x + 5 \\x^{2} + (3x-2x) + 2x^{3} + ( 5 - 4) \\ x^{2} + x + 2x^{3} + 1 \\ 2x^{3} + x^{2} + x + 1[/tex]
Put these numbers in order from least to greatest.
-22/40, 8, 18/24
Answer:
-22/40, 18/24, 8
Step-by-step explanation:
