[tex]\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}[/tex]
[tex]4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}[/tex]
6,-1 this is the answer
The table shows the number of boys and girls that have black, blonde, brown, or red hair color. What portion of the girls have brown hair? (round to nearest hundredth) A) 0.20 B) 0.22 C) 0.40 D) 0.44
Answer:
a
Step-by-step explanation:
i just took this
linar equations 2xty=5
2xty=5 is not linear.
15pts!
Without graphing, determine whether the system x - 3y = 11 and 2x - 6y = -5
has one solution, no solution, or infinitely many solutions.
9 pencils cost $7.74 which equation would help determine the cost of 6 pencils
To find the cost of 6 pencils when 9 cost $7.74, solve for the cost of one pencil, which is $0.86, and then multiply by 6 to get $5.16.
Explanation:To determine the cost of 6 pencils when 9 pencils cost $7.74, we can start by finding the cost of one pencil and then multiplying that cost by 6. Let the cost of one pencil be x dollars. The equation representing this situation would be 9x = 7.74. To find the cost of one pencil, solve for x:
Divide both sides of the equation by 9: x = 7.74 / 9.Calculate the result: x = 0.86 (rounded to two decimal places).Now, to find the cost of 6 pencils, multiply the cost of one pencil by 6: 6 × 0.86.Therefore, the cost for 6 pencils is $5.16 (rounded to two decimal places).The numbers of days of rain per month in Seattle, for a period of twelvre
months, are
18, 14, 16, 14, 12,9, 5, 0, 7, 13, 18, 17
What is the range of the data values?
Answer:
18
Step-by-step explanation:
. Points A (-1,y) and B(5,7) lie on a circle with centre O(2, -3y). Find the values of y. Hence find the radius of the circle
Answer: y = 7, y = -1
Step-by-step explanation:
Since both A and B lie on the circle, their distances to the origin is the radius which will be equal.
[tex]d_{AO}=\sqrt{(-1-2)^2+(y + 3y)^2}\\d_{BO}=\sqrt{(5 - 2)^2+(7 + 3y)^2} \\\qquad \qquad \qquad \qquad d_{AO} = d_{BO}\\\sqrt{(-1-2)^2+(y + 3y)^2}=\sqrt{(5 - 2)^2+(7 + 3y)^2}\\\sqrt{(-3)^2+(4y)^2}=\sqrt{(3)^2+(7 + 3y)^2}\\\sqrt{9+16y^2}=\sqrt{9+(49+42y+9y^2)}\\\sqrt{9+16y^2}=\sqrt{58+42y+9y^2}\\(\sqrt{9+16y^2})^2=(\sqrt{58+42y+9y^2})^2\\\\9+16y^2=58+42y+9y^2\\7(y^2-6y-7)=0\\7(y - 7)(y + 1)=0\\y - 7 = 0 \qquad\text{and}\qquad y + 1 = 0\\\quad y = 7 \qquad \text{and}\qquad y = -1[/tex]
-3(y+3)=2y+3 what does y equal?
[ Answer ]
Y = -12 / 5
[ Explanation ]
Expand:
-3y - 9 = 2y + 3
Add 9 to both sides:
-3y - 9 + 9 = 2y + 3 - 9
Simplify:
-3y = 2y + 12
Subtract 2y from both sides:
-3y - 2y = 2y + 12 - 2y
Simplify:
-5y = 12
Divide both sides by -5:
-5y / -5 = 12 / -5
Simplify:
Y = -12 / 5
<> Arsenal <>
Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certian day, the total revenue at the zoo was $5300. For every 3 teenagers, 8 children went to the zoo. How many teenagers went to the zoo?
a.
100 teenagers
c.
300 teenagers
b.
200 teenagers
d.
400 teenagers
Answer:
300 teenagers
Step-by-step explanation:
6a + 5t + 4c = 5300
a + t + c = 1200
(8/3)*t = c
6a+4c+5t = 5300
a+c+t = 1200
3c-8t = 0
a = 100
c = 800
t = 300
Answer: c is the right answer
Step-by-step explanation:
Solve the elimination. 5x+7y=-1 4x-2y=22
[tex]\left\{\begin{array}{ccc}5x+7y=-1&\text{multiply both sides by 2}\\4x-2y=22&|\text{multiply both sides by 7}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+14y=-2\\28x-14y=154\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad38x=152\qquad\text{divide both sides by 38}\\.\qquad \boxed{x=4}\\\\\text{Put the value of x to the first equation:}\\\\5(4)+7y=-1\\20+7y=-1\qquad\text{substract 20 from both sides}\\7y=-21\qquad\text{divide both sides by 7}\\\boxed{y=-3}\\\\Answer:\ \boxed{x=4\ and\ y=-3\to(4,\ -3)}[/tex]
what is the value of p in the linear equation 24 p + 12 - 18 p
Answer:
P= -2 NEGATIVE 2
Step-by-step explanation:
Answer:
B. -2
Step-by-step explanation:
you are designing a mix of 4 songs to play on your mp3 player while you exercise you have 25 mp3’s that you consider appropriate for the purpose how many different sequences of 4 songs can you devise?
A. 24
B. 12,650
C. 13,800
D. 303,600
E. 390,625
need some help, thanks :)
Answer:
x=24 in
Step-by-step explanation:
We can use proportions to solve this problem
5 15
------ = -------------
8 x
Using cross products
5 * x = 8 *15
Divide by 5
5x/5 = 8*15/5
x = 8*3
x =24
What is the value of x?
x = 2.25
x = 11.25
x = 13
x = 22
Answer:
x=22
Step-by-step explanation:
The exterior angle is the sum of the 2 opposite interior angles of a triangle
6x+1 = 79+2x+10
Combine like terms
6x+1 = 89+2x
Subtract 2x from each side
6x-2x+1= 2x-2x+89
4x+1 = 89
Subtract 1 from each side
4x+1-1 =89-1
4x = 88
Divide by 4
4x/4 = 88/4
x =22
Which is the approximate solution for the system of equations x+5y=10 and 3x+y=1?
Step-by-step explanation:
Given system of equations :
x+5y=10 and 3x+y=1.
Let us solve the system of equation by substitution.
Solving second equation 3x+y=1 for y first.
3x+y=1.
Subtracting 3x from both sides, we get
3x-3x+y=1-3x
y = 1-3x.
Substituting y=1-3x in first equation x+5y=10, we get
x+ 5(1-3x) = 10.
x + 5 -15x =10
-14x +5 = 10.
Subtracting 5 from both sides, we get
-14x +5-5 = 10-5
-14x =5
Dividing by -14 on both sides, we get
-14x/-14=5/-14
x= -0.36.
Plugging x=-0.36 in second equation y=1-3x, we get
y = 1-3(-0.36) = 1+1.08 = 2.08.
Therefore, approximate solution is (-0.36, 2.08).Answer:
A (–0.3, 2.1)
Step-by-step explanation:
what is the slope of the line?
-2
- 1/2
1/2
2
Answer:
-1/2
Step-by-step explanation:
Using rise/run we can go up 1 and over 2 to get to the next point. When a line is graphed going from top left down to the right, it is negative.
I hope that helps u out!!
Good luck! :)
Answer:
-1/2
Step-by-step explanation:
Grab a graphing calculator and enter the two points into STAT.
Click STAT again and then click the right arrow and then click the 4 button. press enter 4 times and then wa-la you got your answer
:)
At the end of the summer a store marks down the outdoor furniture 8% a family bought 4 chairs in June at 35$ each then 2 more chairs when they went on sale how much did all 6 chairs cost?
Answer:
$35(4) + $35(.92)(2) = $140 + $64.40 = $204.40
Fill in the blank plz
Step-by-step explanation:
a. Given => m∠5 = 40°
b. Given => m∠2 = 140°
c. Same Side Interior Angle Theorem => The same side interior angles must add up to 180°, which in this case, it does. m∠4 and m∠2 are alternate interior angles, and so there measurements are the same. 180 - 140 = 40
d. Both angles are part of the "same-side interior angles", which means that there measurements should add up to 180°. Note that m∠5 = 40°, and m∠2 = 140° (Given). Set the equation
m∠5 + m∠2 = 180
Plug in the number for each angle
40 + 140 = 180
180 = 180 (True).
e. It is proven that the above measurements are congruent with their corresponding parts. This means that a || b through Converse of Same Side Interior angle Theorem.
~
In a parallelogram MNOP, PK=5x and KN =x(squared) -14
What is PN
Answer:
PN = 70
Step-by-step explanation:
using the property that the diagonals bisect each other, then
PK = PN
5x = x² - 14 ( rearrange into standard form )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
but x > 0 ⇒ x = 7
PN = PK + KN = 5x + x² - 14 = (5 × 7) + 7² - 14 = 35 + 49 - 14 = 70
hEY YOU! PLEASE STOP SCROLLING AND HELP ME?! I’LL GIVE YOU MY MOM (she makes rlly good cookies) A few years ago, a total of 2692 thousand people lived in metropolitan areas of LA, Nevada, and Sacramento. Sacramento had 284 thousand more residents than LA. What was the population of each metropolitan area? What was the population of Sacramento? What was the population in LA?
Answer:
Nevada haves 3 million people and sacramento haves 495,234 people so if we add them it would be 3,495,234
Step-by-step explanation:
Answer: Is your mom hot
3×3=?
[tex]3 \times 3 = 8[/tex]
Hey there!
Say that you have 3 books in 3 rows on shelves in the library [tex]Row1:3[/tex][tex]Row2:3[/tex][tex]Row3:3[/tex][tex]3,6,9[/tex][tex]3+3+3[/tex][tex]3+3= 6[/tex][tex]6+3 = 9[/tex][tex]3*3\neq 8[/tex][tex]3*3= 9[/tex] So, the correct answer should be: [tex]\boxed{9}[/tex]Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Lipids are made of fatty acids and glycerides. All fatty acids contain a
A. Carboxyl group
B. Water molecule
C. Hydroxyl group
D. Triglyceride
Answer:
D. triglyceride:
Step-by-step explanation:
lipids are a groups of organic molecules, that are insoluble, that contain fatty acids, triglyceride, phospholipids, and sterols.
Sam purchased 3 games for $140 after a discount of 30%. What is the original price
The original price of the three video games before the discount was $200.
Sam purchased 3 video games for a total of $140 after receiving a 30% discount. To find the original price of the games before the discount, we need to divide the sale price by the percentage that Sam actually paid (100% - discount percentage).
The discount percentage is 30%, so Sam paid 100% - 30% = 70% of the original price. Since 70% is the same as 0.70 in decimal form, we can set up the equation:
$140 = original price * 0.70
To determine the original price, divide $140 by 0.70:
Original price = $140 / 0.70
Original price = $200
Therefore, the original price of the three video games before the discount was $200.
A shark can chase prey at about 30 miles per hour. What is the rate in miles per minute?
PLEASE HELP ME! THIS IS UNIT RATES AND I SUCK AT IT.
Answer:
Step-by-step explanation:
by using unitary method, we will convert miles per hour into miles per minute in 60 minutes the shark can chase the prey 30 milesIn 1 minute the shark can chase Hence the shark can chase the prey about 0.5 miles per minute.
Clyde ran 3 1/3 miles on Friday. On Saturday, he ran 4 2/7 times that distance. How far did Clyde run on Saturday?
Answer:
100/7 miles
Step-by-step explanation:
So 3 1/3 can be written as 10/3 and 4 2/7 can be written as 30/7. So multiplying, we get 300/21 which can be simplified to 100/7.
Jackson has n autographs in his autograph book. Yesterday he got 3 more autographs. Write an expression to show how many autographs are in his book now.
Final answer:
The expression for the total number of autographs Jackson has after getting 3 more is 'n + 3', where 'n' represents the original number of autographs.
Explanation:
Jackson currently has n autographs in his autograph book. Since he obtained 3 more autographs yesterday, we can express the total number of autographs he now has by creating a simple algebraic expression. You add the number of new autographs to his original count. The expression that represents the total number of autographs in Jackson's book now is n + 3.
What is the 15th term of the sequence an =-3n+50
Answer:
[tex]a_{15}[/tex] = 5
Step-by-step explanation:
to find the 15th term substitute n = 15 into the nth term formula
[tex]a_{15}[/tex] = (- 3 × 15 ) + 50 = - 45 + 50 = 5
To find the 15th term, enter n = 15 into the nth term formula.
What is the Sequence?A list of numbers in a specific order is called a sequence. A term is the name given to each number in a sequence. A sequence has a place for each phrase (first, second, third and so on). Consider the sequence 5, 15, 25, 35, for instance. Each number in the series is referred to as a word. You should be familiar with the following four main categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences.
Sets of numbers that adhere to a pattern or norm are known as number sequences. It is referred to as an arithmetic sequence if the rule is to add or remove a number each time. It is referred to as a geometric sequence if the rule is to multiply or divide by the same integer each time.
A term is the name given to each number in a series. A sequence is a list of objects that is in order in mathematics (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered elements (potentially infinite)
Detailed explanation:
Substitute n = 15 into the nth term formula to discover the 15th term.
a15= (- 3 × 15 ) + 50 = - 45 + 50 = 5
a15= 5
To learn more about Sequence refer to:
https://brainly.com/question/6561461
#SPJ2
Find the value of -9-6-(-8)?
Answer,
-7
Explanation,
Hello! All we are doing here is simply subtraction :-)
-9 - 6 = -15
-15 - (-8) = -7
Hope This Helps :-)
Answer:
im pretty sure it is -7
Step-by-step explanation:
The running time for each male and female runner in a race can be represented as an ordered pair
true or false?
this is for math 1 data analysis.
Ordered pairs can be used to represent the running times for male and female runners in a race, allowing for effective data analysis and comparison. The correct statement is option a) True.
The running times for each male and female runner in a race can indeed be represented as an ordered pair. This is true because an ordered pair (e.g., (time, gender)) can be used to encapsulate two pieces of related information about each runner's performance. In your math 1 data analysis, this approach enables the comparison of run times between different runners or across genders, which could be useful when analyzing the data and looking for patterns or trends.
For example, if a female runner finished a race in 2 hours, 30 minutes, and a male runner finished in 2 hours, 45 minutes, their running times could be represented by the ordered pairs (2:30, Female) and (2:45, Male) respectively. This compact representation is particularly helpful when you want to create a visual display of the data, such as a scatter plot, or perform statistical analysis to investigate questions such as improvements in run times or the closing of the gender gap.
Thus, the correct statement to the student's question is option a) True.
PLEASE HELP!!!!!!
Which number(s) below belong to the solution set of the inequality? Check all that apply.
“X + 22 < 32”
A. 5
B. 71
C. 10
D. 15
E. 8
F. 0
A
E
And
F
They all add up to under 32.
the following data shows the number of days prom tickets have been on sale and the total number of tickets sold. what is the linear regression equation to match the data?
Day (x) 1 2 5 7 10
Number of prom tickets sold (y) 30 35 55 60 70
Answer:
Linear regression is the relationship between two variables x and y
One variable is dependent and the other one is explanatory variable
Regression line equation is shown in the attachment please have a look at it.
Table and graph is shown in the file attached.
[tex]R^2\text{is the regression over two variables}[/tex]
x represents the number of days prom tickets have been on sale.
y represents total number of tickets sold.