Answer:
The very first line has an error.
Step-by-step explanation:
When you are solving the second system of equations for y, you need to subtract 3x from both sides and therefore it should be negative.
3x + y = -9
y = -3x - 9
Since the 3x isn't negative in the first line, there is an error.
on a road map of pennsylvania, the distance from philaephia to washington d.c. is 6.8 centimeters. whatis the actual distance between the cities if the mape scale is 2 centimeters = 40 miles.
Answer:
136 miles
Step-by-step explanation:
The map distance is 3.4 times 2 cm, so the road distance will be 3.4 times 40 miles, or 136 miles.
!!!!!!!!!!!! Helppppppp !!!!!!!!!!!!
Nikita knows the following information about her food club that has 1111 members: 33 members like neither fruit nor vegetables. 44 members like fruit but not vegetables. 55 members in total like fruit. Can you help Nikita organize the results into a two-way frequency table?
Answer:
[tex]\begin{array}{cccc}&\text{ Like fruit }&\text{ Do not like fruit }&\text{ Total }\\\text{Like vegetables}&11&1023&1034\\\text{Do not like vegetables}&44&33&77\\\text{Total}&55&1056&1111\end{array}[/tex]
Step-by-step explanation:
You are given such information:
food club has 1111 members;33 members like neither fruit nor vegetables;44 members like fruit but not vegetables;55 members in total like fruit.Then 55 - 44 = 11 members like fruit and vegetables. Thus,
1111 - 55 - 33 = 1023 members like vegetables but not like fruit.
A two-way frequency table will take look
[tex]\begin{array}{cccc}&\text{ Like fruit }&\text{ Do not like fruit }&\text{ Total }\\\text{Like vegetables}&11&1023&1034\\\text{Do not like vegetables}&44&33&77\\\text{Total}&55&1056&1111\end{array}[/tex]
Nikita can organize her data into a two-way frequency table showing members' preferences for fruit and vegetables. The table identifies how many members like only fruit, only vegetables, both, or neither accordingly.
Nikita has the following data about her food club consisting of 1111 members:
33 members like neither fruit nor vegetables.44 members like fruit but not vegetables.55 members in total like fruit.We can organize this information into a two-way frequency table. Here are the steps:
Calculate the number of members who like both fruit and vegetables. Since 55 members like fruit, 44 like only fruit, and 33 like neither, we subtract the 44 members who like only fruit from the total 55 fruit-likers to find those who like both: 55 - 44 = 11.
Calculate the number of members who like vegetables only. The number of members who like either fruit or vegetables or both can be found by subtracting those who like neither from the total number of members: 1111 - 33 = 1078. We already know 55 like fruit, so those who like vegetables only: 1078 - 55 = 1023 (1111 total members - 33 neither - 55 fruit).
The two-way frequency table looks like this:
Fruit No Fruit Total
Vegetables 11 1023 1034
No Vegetables 44 33 77
Total 55 1056 1111
a damsel in distress is being
Check the picture below.
make sure your calculator is in Degree mode.
Reid are 1/4 of pie. Vince ate 1/3 of same pie. How much of the pie is left?
Answer:
5/12
Step-by-step explanation: find common denominator
A basketball player attempts 15 baskets in a game, He makes 9 of the attempted basket. which ratio describe the number of basket the player made to the number of basket the player attempted?
Answer:
3:5
Step-by-step explanation:
We are looking for the ratio of baskets made to baskets attempted
made: attempted
9:15
We can divide each number by 3
9/3: 15/3
3:5
The ratio of baskets made: attempted is 3:5
The ratio that describes the number of baskets made to the number of baskets attempted by the basketball player is 9 to 15, which simplifies to 3 to 5.
The question pertains to the ratio of successful basket attempts to total attempts made by a basketball player in a game.
In this case, the player successfully made 9 baskets out of 15 attempts.
To express this as a ratio, we simply compare the number of made baskets to the total attempts,
thus the ratio is 9 to 15, which can also be simplified by dividing both numbers by their greatest common divisor, which is 3, resulting in a simplified ratio of 3 to 5.
3. To combine the equations and solve for one of the variables, you need to eliminate the other variable. How can you change one equation so that one variable is eliminated when the two equations are added? Explain and write the new equation. 12x + 6y = 120
4x + y = 30
Combine the two equations to eliminate one of the variables, and then solve for the other.
Solve for the other variable.
Prove that your solutions are correct by substituting the values back into the original equations and verifying the answers.
Answer:
x=5
y=10
Step-by-step explanation:
The table shows how long it took Melinda to do her math homework each day over four days.
Table) Monday:3/4, Tuesday:5/6, Wednesday:2/3, Thursday:1/2
What is the ratio of the time it took Melinda to do her math homework on Wednesday to the time it took her to do it on Tuesday.
Please help me, I struggle with this topic in school.
4/5
Step-by-step explanation:The question is asking you to find the ratio of Wednesday's time (2/3) to Tuesday's time (5/6). To do that, you divide the fractions:
... Wednesday / Tuesday = (2/3) / (5/6)
There are a couple of different methods you can use to divide fractions.
1. Invert the denominator and multiply.
When we invert 5/6, it becomes 6/5. So our division problem is now a multiplication problem:
... (2/3) × (6/5) = (2×6)/(3×5) = 12/15
This result can be reduced by removing a factor of 3 from numerator and denominator:
... Wednesday/Tuesday = 4/5
___
2. Make both fractions have the same denominator, then drop the denominators.
The denominators of the fractions in our ratio are 3 and 6. If we multiply 3 by 2, it becomes 6, so we can rewrite the numerator fraction as ...
... 2/3 = (2/3)×(2/2) = 4/6
Now, it has a denominator of 6 and our division problem is
... (2/3) / (5/6) = (4/6) / (5/6)
Dropping the (same) denominators gives ...
... Wednesday/Tuesday = 4/5
PLZ HELP ME ASAP. I DONT UNDERSTAND
AND PLZ PLZ PLZ SHOW YOUR WORK
To find the rate of change, find the difference of people at the park at each given hour and divide that by the total number of hours in the given time frame.
Early Time interval:
Hour 1 there was 55 people.
Hour 3 there was 135 people.
The rate of change is 135 - 55 / 3-1 = 80/2 = 40 people per hour.
Late time interval:
Hour 3 had 135 people.
Hour 5 had 175 people.
The rate of change is 175 - 135 / 5-3 = 40/2 = 20 people per hour
20 is less than 40, so the late time interval had the smallest rate change.
Hailey, a chemistry student, is measuring samples of a metallic substance for an experiment on density, using a balance that measures to 1/10 of a gram. Which is the most accurate measurement based on the limitations of the balance that might be found in her recorded data? A) 9.01 grams B) 9.2 grams C) 9.24 grams D) 9.244 grams
Answer:
B) 9.2 g
Step-by-step explanation:
The balance measures only to 0.1 g.
So, the best measurement Hailey can make is to the nearest 0.1 g.
The most precise measurement she can make is 9.2 g.
The accuracy depends on the balance and on how carefully she works.
2=-6x+4 solve for the variable x
Answer:
x=1
Step-by-step explanation:
so just plug 1 in and you wil get it
Answer:
16
Step-by-step explanation:
6(2)+4
6 x 2=12
12+4=16
Please help me, due in 20 minutes and I need the work.
Answer:
When she mixes the clay she now had 3/2 and 3/4 added would be 6/4 and 3/4 so she has 9/4 pounds of clay. If each student needs 1/8 and she had 18/8 that means she can make 18 students finish.
Please mark brainliest as that would help alot/
Step-by-step explanation:
Find the value of the polynomial:
6a^3–a^10+4a^3+a^10–8a^3+a for a=−3
-57
Step-by-step explanation:We can collect terms to simplify the arithmetic.
... = a^3(6 +4 -8) +a^10(-1 +1) +a
... = 2a^3 +a
... = a(2a^2 +1)
For a = -3, this is
... -3(2(-3)² +1) = -3(2·9 +1)
... = -3·19 = -57
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≥ −x − 4
A. (−5, 2)
B. (5, −2)
C. (−5, −2)
D. (5, 2)
Answer:
B. (5,-2)
Step-by-step explanation:
Plug in X and Y, verify accuracy
If Mary has ran 41 miles how many inches is that?
Point D is between points S and T on ST. Given that SD = 2.9 and ST = 11.1, find the length of DT
D. 8.2
Step-by-step explanation:ST = SD + DT . . . . . segment addition theorem
11.1 = 2.9 + DT . . . . substitute the given lengths
8.2 = DT . . . . . . . . subtract 2.9
The length of segment DT is 8.2 units.
Answer:8.2
Step-by-step explanation:
I got it right on edginuity
PLEASE ANSWER
consider the function represented by the equation 16b = 4r - 12. write the equation in function notation, where b is the independent variable. Must show work for full credit
Answer:
r = 4b + 3
Step-by-step explanation:
As b is the independent variable, r must be the dependent variable which should be on the left by itself in function notation.
Rearranging 16b = 4r - 12
4r = 16b + 12
r = 4b + 3
Answer:
r = 4b + 3
Step-by-step explanation:
given equation 16b = 4r - 12
in function notation, dependent variable should be on the right n independent variable appears on the left
16b + 12 = 4r - 12 +12
16b + 12 = 4r
flip left n right
4r = 16b + 12
divide by 4
r= 4b + 3
In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.
Final answer:
To find the length of QR, we used the Pythagorean theorem on triangle PNQ to find NQ, then added it to PR, resulting in QR measuring 53 inches.
Explanation:
To find the length of side QR in △PQR, we can apply the Pythagorean theorem to one of the right triangles formed by the altitude PN. The triangle we'll use is △PNQ, where NQ is part of QR, and PN is given as 15 in.
Firstly, we can calculate NQ using the Pythagorean theorem:
PN² + NQ² = PQ²
15² + NQ² = 39²
NQ² = 39² - 15²
NQ² = 1521 - 225
NQ² = 1296
NQ = √1296
NQ = 36 in
Since PR = 17 in, we can conclude that NR is the difference between PR and NQ:
NR = PR - NQ
NR = 17 - 36
NR = -19 in
The negative value indicates a mistake since lengths cannot be negative. Therefore, we should use the entire length of PQ instead:
QR = NQ + NR
QR = 36 + 17
QR = 53 in
Thus, side QR measures 53 inches.
you pay $2.76 for 6 bagels. what is the unit price?
a) $0.46 per bagel
b)$0.48 per bagel
c)$0.52 per bagel
d)$0.44 per bagel
Answer:
a) $0.46 per bagel
Step-by-step explanation:
When you are looking for a unit price, you have to divide the price in this instance by the amount of items that you have. For example, here you just have to divide $2.76 by 6 to get $0.46.
Hope I could help! :)
What is the area of the rectangle shown on the coordinate plane? Enter your answer in the blank. Do not round at any steps.
12 units²
Step-by-step explanation:Counting half-squares around the perimeter of the rectangle, we find there are 10. Counting full squares inside the rectangle, we find there are 7. Then the total area is
... (1/2)·10 +7 = 12 square units
_____
Alternate calculation
The long side is the hypotenuse of a right triangle with legs 3, so has length 3√2. The short side is the hypotenuse of a right triangle with legs 2, so has length 2√2. The area is the product of these lengths, so is ...
.. area = (3√2)(2√2) = 6(√2)² = 6·2 = 12 . . . square units
Answer:
21
Step-by-step explanation:
In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is the ratio of BE:EC?
Answer:
BE:EC= 1/3
Step-by-step explanation:
Given ABCD is a parallelogram, Point K is such that it belongs to diagonal BD so that BK:DK=1:4.
If we make an extension of AK which meets BS at point E, then using ΔDKA and ΔEKB, we have
∠DKA=∠EKB (Vertically opposite angles)
∠KDA=∠KBE (Alternate interior angles)
∠DAK=∠BEK (Alternate interior angles)
Thus by AAA similarity,ΔDKA≅ΔEKB
⇒[tex]\frac{AD}{BE}[/tex]= [tex]\frac{DK}{BK}[/tex],
Since, AD= BC,therefore
[tex]\frac{AD}{BE}[/tex]= [tex]\frac{BC}{BE}[/tex]= [tex]\frac{4}{1}[/tex]
Now, BC= BE+EC, ⇒[tex]\frac{BE+EC}{BE}[/tex]= [tex]\frac{4}{1}[/tex]
⇒1+[tex]\frac{EC}{BE} = \frac{4}{1}[/tex]
⇒[tex]\frac{EC}{BE}= 3[/tex]
Reciprocating on both the sides, we get
[tex]\frac{BE}{BC} = \frac{1}{3}[/tex]
The cost of an office chair is $159 and the markup rate is 24% of the cost. What is A. the dollar markup and B. the selling price?
A. The dollar amout of the markup is found by multiplying the markup rate by the dollar cost. "24% of cost" means "24% × cost". Of course, you know that 24% = 24/100 = 0.24.
... markup = 0.24 × cost = 0.24 × $159 = $38.16
B. The markup is the amount added to the cost to get the selling price. It is the amount by which the cost is marked up.
... selling price = cost + markup = $159.00 +38.16 = $197.16
Which equation can be used to find the area of the of the trapezoid?
A) A = 2(15 + 23)(9)
B) A = 2(15 + 23)(9)
C) A = 1/2(15 + 23)(9)
D) A = 1/2 (152 + 232)(92)
Answer:
C) 1/2(15 +23)(9)
Step-by-step explanation:
The formula for the area of a trapezoid in terms of base lengths b1 and b2 and height h is ...
... A = 1/2(b1 +b2)h
Substituting the values shown in the figure, this becomes ...
... A = 1/2(15 +23)(9) . . . . . matches selection C
the ratio of students that take french to spanish is 20:19. How do the number of students taking french and the number of students taking spanish compare.
Answer:
More students take French than take Spanish.
Step-by-step explanation:
Effectively, out of every 39 students taking French and/or Spanish, 19 of them take Spanish and 20 of them take French. The number of French students in that group is higher. (20 is more than 19)
Which of the following equations is perpendicular to y = 2x + 5 and passes through the point (4 , 6)? A. y = – 1 2x + 8 B. y = 2x + 8 C. y = – 1 2x – 2 D. y = 2x – 2
Answer:
The equation would be y = -1/2x + 8
Step-by-step explanation:
To find the equation of the line, we start by find the slope. Perpendicular slopes have opposite and reciprocal slopes. since the original slope is 2, then the perpendicular slope is -1/2.
Now, using the point and the slope in point-slope form, we can find the equation.
y - y1 = m(x - x1)
y - 6 = -1/2(x - 4)
y - 6 = -1/2x + 2
y = -1/2x + 8
The equations that is perpendicular to y = 2x + 5 and passes through the point (4 , 6) is y = - 1/2 x + 8
For an equation to be perpendicular to the another line equation the product of there slope will be negative one. Therefore,
m₁m₂ = -1Therefore, the slope of y = 2x + 5 is 2. The equation should have the following slope:
2m₂ = - 1
m₂ = -1 / 2
A linear equation is represented as follows:
y = mx + bm = slope
b = y-intercept
Therefore,
let use the point (4 , 6) to find b
6 = - 1/2 (4) + b
6 = -2 + b
b = 6 + 2
b = 8
The equation will be as follows:
y = - 1/2 x + 8
read more; https://brainly.com/question/16236339?referrer=searchResults
A rock is pushed out of a six-story window that is 60 feet above the ground. What energy changes occur as the rock falls to the ground?
A)
The potential energy of the rock is destroyed as it falls.
B)
The potential energy of the rock is transformed into kinetic energy.
C)
The kinetic energy of the rock is transformed into potential energy.
Answer:
B) The potential energy of the rock is transformed into kinetic energy.
Step-by-step explanation:
Our understanding of Physics tells you the potential energy due to the rock's position in the gravitational field is transformed into kinetic energy as the rock gains speed (and loses height).
_____
Comment on the problem
There are additional effects not accounted for by this simplified answer, including thermal effects, radiation effects, and sound effects. (In this new age, there can also be energetic effects in dimensions we're not accustomed to considering, including emotional or other effects on—or due to—consciousness.)
Answer B)it goes from being still to moving
please help me asap!
Answer:
Option d) 115 degrees
Step-by-step explanation:
We are given a trapezium ABDE in the picture. AB and ED are the parallel sides.
F is the mid point of AE and C the midpoint of BD. FC is joined.
We are also given that angle of AED = 65 degrees.
To find the measure of angle BAE.
Since sides AB and ED are parallel sides we find that AE is the transvesal intersecting the two parallel lines.
Hence by parallel lines axiom, the two interior angles namely Angle AED and BAE are supplementary.
i.e. 65 +angle BAE=180
Hence angle BAE = 115 degrees.
Option d is the answer.
Identify the equivalent trigonometric values. A sin 17°, cos 17° B cos 29°, sin 61° C sin 78°, cos 102° D cos 83°, cos 7°
Option B (cos 29° and sin 61°) contains equivalent trigonometric values, as the angles are complementary and adhere to the identity sin(90° - x) = cos(x).
The question asks us to identify equivalent trigonometric values out of the given pairs. The equivalent values will have the same numerical value if their angles are complementary (i.e., they add up to 90°) because of the identity sin(90° - x) = cos(x). Considering this, let's evaluate the provided pairs:
A: sin 17° and cos 17° are not complementary, so they are not equivalent.
B: cos 29° and sin 61° are complementary (29° + 61° = 90°), hence equivalent.
C: sin 78° and cos 102° are not complementary, and 102° is greater than 90°, so they are not equivalent.
D: cos 83° and cos 7° are not complementary, but they are both cosines of different angles, so they are not equivalent.
Thus, the pair with equivalent trigonometric values is B: cos 29° and sin 61°.
At the community center nine boys and nine girls are playing singles at the community center nine boys and nine girls are playing singles table tennis. If each girl plays against east boys everyone’s how many games are played?
Answer:
81
Step-by-step explanation:
9girls x 9 boys to play each other
Paul needs 8 equal-length sections of rope.After cutting these 8 sections,he has 28.9 inches of rope left over from an original length of 184.9 inches.What is the length of each of the sections?Be sure to define your variable(s)
19.5 inches
Step-by-step explanation:Let r represent the length of one of the sections of rope (in inches). Then the total length of the original rope is ...
... 8r +28.9 = 184.9
... 8r = 156 . . . . . . . . . . . . subtract 28.9; next, divide by 8
... 156/8 = r = 19.5
The length of each of the sections is 19.5 inches.