Find the first two equations that are needed to solve the following story problem: How many milliliters of a 5% acid solution and how many milliliters of a 17% acid solution must be mixed to obtain 60 mL of a 13% acid solution?
Answer:
Step-by-step explanation:
saw it on chegg
.05x+.17y=.13
x+y=60
The two correct equations are "\(0.05 x+0.17 y=0.13\) and \(x+y=60\)". A further solution is provided below.
According to the question,
Let,
Quantity of 5% acid solution will be "x".Quantity of 17% acid solution will be "y".Given total acid solution,
= 60 mL
then,
→ \(x+y = 60\)...(equation 1)
We know that the concentration of mixture = 13%
hence,
→ \(5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)\)
or,
→ \(0.05x+0.17y=0.13(60)\)
Thus the above answer is correct.
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Consider the line y=-3/5x+3
Find the equation of the line that is perpendicular to this line and passes through the point (5, -4).
Find the equation of the line that is parallel to this line and passes through the point (5, -4).
Answer:
its 5,0
Step-by-step explanation:
i took the test
Find the HCF of 25 and 50
Answer:
the greatest common factor of 20 and 50 is 5.
have a nice day <3
Answer:
the answer provided by the other user is correct
=5
Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of those attempts they made. Henry made 0.45 of his shots. Allison made Arthur made of her shots. of his shots. Trevor missed 58% of his shots. Which friend had the best record for the number of shots made?
Answer:
Henry had the best record for the number of shots made
Step-by-step explanation:
From the given information.
Four friends are on a basketball team.
Henry
Allison
Arthur
Trevor
We are being told that Henry made 0.45 of his shots out of all his attempts
Allison made Arthur made of her shots of his shots.
i,e Arthur did the work for Allison , so out of Arthur's shot , we have to figured out Allison shots,
Trevor missed 58% of his shots.
i.e Trevor failed 0.58 of his shot, If he failed 0.58 shot
Then the attempts Trevor made is :
= 1 - 0.58
= 0.42
SO , Trevor made 0.42 shots out of all his attempt
N:B We are not given any information about Arthur's shots , so we can't determine Allison shot as well.
Therefore; we will focus on only Henry and Trevor shots
So ;
Henry made 0.45 of his shots
Trevor made 0.42 out of his shots
We can thereby conclude that :
Henry had the best record for the number of shots made
Thank you for the help!
Answer:
c 57
Step-by-step explanation:
Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possible choices does he have? ___________ possible choices
Answer:
6 choices
Step-by-step explanation:
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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What 5/6 and 4 2/7 product.
Answer:
4 5/32
Step-by-step explanation:
Hope this helps, if it does, can I have brainliest?
Jaimee is moving in with her dad next year, and she wants to know how much farther her trip to school will be from his house than it was from her mom’s house. Jaimee’s dad lives 12.65 miles from school, and her mom lives 4 1/6 miles from school. About how much farther will Jaimee have to travel to school?
What is the distance between point A(-2,-1) and point B (3,2)?
Answer:
5
Step-by-step explanation:
sorry if wrong
which choice is equivalent to the expression -2(5y-x) +3(2x-6y) A. -16y-5xB. -16y-7xC. -28y+4xD. -28y+8x
Answer:
The equivalent expression is;
\(-28y+8x\)Explanation:
To know which of the expression is equivalent to the given expression.
Let us simplify the given expression.
\(\begin{gathered} -2(5y-x)+3(2x-6y) \\ =-10y+2x+6x-18y \\ =-10y-18y+2x+6x \\ =-28y+8x \end{gathered}\)Therefore, the equivalent expression is;
\(-28y+8x\)I would like someone to help please, find the reciprocal of 10 1/2
Answer:
2/11
Step-by-step explanation:
10 1/2 is the same as 11/2. The reciprocal of 11/2 is 2/11
Houston, TX and New Orleans, LA are 348 miles apart. On a map, these two cities are 2.3 centimeters apart. Use this scale to determine the distance between Houston, TX and Dallas, TX if they are 1.6 centimeters apart on the map.
Based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.
To determine the distance between Houston, TX and Dallas, TX using the given scale, we can set up a proportion using the distances on the map and the actual distances.
Let's denote the distance between Houston and Dallas as "x" (in miles).
According to the scale provided, 2.3 centimeters on the map represents a distance of 348 miles. This can be expressed as:
2.3 cm / 348 miles = 1.6 cm / x miles
To find the value of "x," we can cross-multiply and solve the equation:
(2.3 cm) * (x miles) = (1.6 cm) * (348 miles)
2.3x = 556.8
Divide both sides by 2.3 to isolate "x":
x = 556.8 / 2.3
x ≈ 242.0869565
Therefore, based on the given scale, if Houston and Dallas are 1.6 centimeters apart on the map, the estimated distance between the two cities is approximately 242.1 miles.
Please note that this is an approximation based on the given scale and the assumption that the scale is linear and consistent throughout the map. Actual distances may vary and should be verified using more accurate measurements or reliable sources.
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Plz help!!! due tonight I need help!!!!
Answer:
14400
Step-by-step explanation: i culd be wrong tho
Skyler solved an equation incorrectly, as shown below:
Step 1: 12 + x = 36
Step 2: x = 36 + 12
Step 3: x = 24
Which statement best explains why Step 2 is incorrect in Skyler's solution?
Answer:
Step 2 is incorrect.
Step-by-step explanation:
It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.
If a = -4, then what is the value of -a?
OA.
5
OB.
4
OC. 0
OD
D. -4
PLEASE HELP ASAP!!!
I'd really appreciate the help, thanks in advance.
The questions below can be solved using the relation between angular size, physical size and distance. For the questions below, provide a complete solution with explanation.
1. Find the Sun's diameter. The sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. What is the sun's approximate physical diameter? Compare your answer to the actual value of 1 390 000 km.
2. Find a Star's Diameter. The supergiant star Betelgeuse (in the constellation Orion) has a measured angular diameter of 0.040 arcsecond from Earth and a distance from Earth of 720 light-years. What is the actual diameter of Betelgeuse? Compare your answer to the size of our Sun and the Earth-Sun distance.
The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.
How to calculate the diameter?From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:
= 0.5π / 180
= 0.008727 radians
Distance from the sun = 150 × 10^6
The physical diameter of the sun will be:
= 150 × 10^6 × 0.008727
= 1309000km
The difference between the diameters will be:
= 1390000 - 1309000
= 8.1 × 10^4.
The percentage of difference will be:
= (8.1 * 10^4) / 1390000 × 100
= 5.8%
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Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5 million of software during one year, what are Talia’s earnings for that year?
Answer:
$131250
Step-by-step explanation:
Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)
Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%
2,500,000 ÷ 100 = 25000
Step 2. Multiply this number by the specific percentage (2.65)
25000 x 2.65 = 66250
Now add the commission and the yearly salary
65000 + 66250 = 131250
Hence, total earnings of Talia were $131250
A 3-gallon container of window cleaner costs $17.76. What is the price per quart?
Answer: $1.48
Step-by-step explanation:
find how much each gallon cost
1. 17.76/3=5.92
Divide by 4 because 4 quarts equal a gallon
2. 5.92/4=1.48
Therefore each quart equals $1.48,
Hope this helps!
use the diagram below to find all missing angles
Answer:
Step-by-step explanation:
Soooo, angle 1 is 157 degrees
That means:
Angle 2 is 23 degrees Supplementary Angles
Angle 3 is 157 degrees Vertical Angle to Angle 1
Angle 4 is 23 degrees Vertical angle to Angle 2
Answers:
angle 2 = 23 degreesangle 3 = 157 degreesangle 4 = 23 degrees=======================================================
Explanation:
Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180
(angle1)+(angle2) = 180
angle2 = 180-(angle1)
angle2 = 180-157
angle2 = 23 degrees
Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.
Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.
PLEASE HELP QUICKLY!! (20 points)
Which function has the greatest slope?
A. g(x)
B. f(x)
C. h(x)
D. k(x)
E. all if the slopes are the same
i think its d but im not sure please answer quickly
Answer: E
Step-by-step explanation:
Put each function into the slope-intercept form y=mx+b. Notice that m=1 for each function, and because m represents the slope, all slopes are the same.
Correct answer get brainliest!! Determine if the following triangles are congruent if yes state what theorem proves them to be
congruent. Explain your reasoning.
Answer: AAS
Step-by-step explanation:
We know that \(\angle TSN \cong \angle HSU\) because they are vertical angles, meaning the triangles are congruent by AAS.
Please help me
Lisa has only nickels and dime in her money box. She knows that she has less than $15 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y?
Answer:
Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion below the line for positive values of x and y.
Step-by-step explanation:
This is the answer I can confirm that this is true rather than,"WhAt TyPe Of MaThEmAtIcS iS tHis?"
THe audio is writen there thanks but now PLZ HELP
I count n=12 observations, sorted they're
0 0 0 1 1 2 2 3 3 4 5 10
The median is the middle value, or the average of the two middle ones when we have an even number. That's (2+2)/2=2
Median: 2
The mode is the most common observation. Three friends had no pets.
Mode: 0
The range is maximum minus minimum, so 10 - 0 = 10
Range: 10
Let be independent random variables with the common distribution function F and suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N (b) Find P(M1} (d) Use (b) and (c) to rederive the probability you found in (a).
suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is nλe^(-nλx)
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
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Click the arrows to choose an answer from each menu.
There are a total of Choose...
possible outcomes.
possible outcomes for spinning two numbers that have a sum
There are Choose...
greater than 5.
There are Choose... Y
possible outcomes for spinning the same number twice.
Answer:
No picture given/ Information missing
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
find the value of ...B
Answer:
b=–2
Step-by-step explanation:
we've got:
(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243
and we've also got the coefficient of x³ as –720
90b³=–720===> b³=–8===> b=–2
A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)? In an actual experiment, consumers were asked to pick the design they preferred. The following data were obtained. Do the data confirm the belief that one design is just as likely to be selected as another?
Design Number of Times Preferred
1 5
2 15
3 30
4 40
5 10
Answer:
20%
Step-by-step explanation:
p(outcomes)=#of favourable outcomes/#of possible outcomes
=1/5
=0.2
=20%