Answers
Answer:
a=-2
b=3
Step-by-step explanation:
Solve the system of equations.
2a -5b = -19
3a + 5b = 9
Add the two equations together.
2a -5b = -19
3a + 5b = 9
------------------------
5a = -10
Divide by 5
5a/5 = -10/5
a = -2
Now we can find b
2a-5b = -19
2(-2) -5b = -19
-4 -5b = -19
Add 4 to each side
-5b = -15
Divide by -5
b = 3
a=-2
b=3
Given
2a-5b= -19 (equation1)
3a+5b = 9 (equation2)
now add both equation 1 and equation 2
2a-5b=-19
3a+5b= 9
------------------
5a = -10 (as +5b and -5b get canceled)
5a = -10
a = -2
(substitute in equation 2 or in equation 1)
3(-2)+ 5b= 9
-6 +5b =9
5b = 9+6
5b = 15
b= 3
therefore
a= -2
b= 3
verification:
2(-2)-5(3) = -19
-19 = -19
hence verified.
Related Questions
Mike’s average monthly budget for groceries
is $600. Here is a list of his grocery budget
for 2017. How much money does he have
available for May?
If he spends all of the money he has available, what is the median of his spending?
Answers
Answer:
may - 725 $
600 is median
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please answer Questions 12-18! Please show work and explanations because I was absent in class and I have NO IDEA how to do this! If you are right, I will award you 60 points!! PLS HELP!!
Answers
Answer:
12) v=0
13) w=9
14) y=5
15) z=-8
16) n=2, m=-2
17) x=3
18) 1, because [tex]2^{4}/{2^{4} =1[/tex]. Therefore [tex]2^{4}/{2^{4} = 2^{4-4}=2^{0}=1[/tex]
Step-by-step explanation:
12) Exponent Zero rule. Anything raise to 0 power equals 1.
13) Exponent Negative rule: [tex]b^{-n} =\frac{1}{b^n}[/tex]
14) Exponent Quotient rule: [tex](a^n/a^m)=a^{n-m}[/tex]
In this case, [tex](3^3/3^5)=3^{3-5}=3^{-2}=1/3^2=1/9[/tex]
15) Exponent Product rule: [tex](a^n*a^m)=a^{n+m}[/tex]
In this case, [tex](5^8*5^{-8})=5^{8-8}=5^0=1[/tex]
16) Same rule as #15, [tex](7^2*7^{-2})=7^{2-2}=7^0=1[/tex]
17)We can work backwards here, we know [tex]2^{2} = 4[/tex] and [tex]3^{1} =3[/tex], so we need [tex]2^2/3^1=4/3[/tex].
To achieve this, use Exponent Quotient rule, what x-4=1? x=5.
Similar base: [tex](3^5/3^4)=3^{5-4}=3^{1}=1/3[/tex]. Put [tex]2^{2}[/tex] back for [tex]\frac{4}{3}[/tex]
18) 1*1*1*1=1. Anything raise to 0 power equals 1 (Exponent Zero rule). To prove this, any number(except 0) divided by itself equals 1.
Ex: 1/1=1, 4/4=1, [tex]2^4/2^4=1[/tex].
We can prove this with the Exponent Quotient rule. [tex]1=\frac{3}{3} =\frac{3^1}{3^1}=3^{1-1}=3^0=1[/tex]. No matter how I write it, it's equal to 1.
The one exception is [tex]0^{0}[/tex], which is undefined, since dividing by zero is illegal.
Hope this helps. ;)
Answer:
12) v=0
13) w=9
14) y=5
15) z=-8
16) n=2, m=-2
17) x=3
18) 1, because . Therefore
Step-by-step explanation:
12) Exponent Zero rule. Anything raise to 0 power equals 1.
13) Exponent Negative rule:
14) Exponent Quotient rule:
In this case,
15) Exponent Product rule:
In this case,
16) Same rule as #15,
17)We can work backwards here, we know and , so we need .
To achieve this, use Exponent Quotient rule, what x-4=1? x=5.
Similar base: . Put back for
18) 1*1*1*1=1. Anything raise to 0 power equals 1 (Exponent Zero rule). To prove this, any number(except 0) divided by itself equals 1.
Ex: 1/1=1, 4/4=1, .
We can prove this with the Exponent Quotient rule. . No matter how I write it, it's equal to 1.
Solve. -11 2/3 x (-4 1/5)
A. 49
B. -49
C. 44 2/15
D. -44 2/15
Answers
convert -11 2/3 into and improper fraction and do the same things for -4 1/5.
so it will become. -35/3 x (-21/5).
TWO NEGATIVE EQUAL A POSITIVE.
35/3 x 21/5 - cancel out the greatest common factor 5
7/3 x 21 - cancel put the great common factor 3
7x7
= 49
How I solved it-
-11 2/3 x (-4 1/5)
I started with turning the mixed numbers into improper fractions, Which the new equation would be, -35/3 x -21/5
Then multiplied them and got 735/15 and then just divide 735 by 15 and you will get 49. Hope this helps!!
On the windowsill is a plant that is 8 inches tall. It is growing 2 inches per week. A second plant, which is 3 inches tall, is on the coffee table. It is growing 4 inches per week. Eventually the two plants will be the same height. Write the system of equations to determine how tall will the plants be? NEED HELP ASP!!!!!!!
Answers
Answer:
it is the third option
Step-by-step explanation:
the 8 in plant grows 2 in per week, so to find out how much it grows in the following weeks, wee need to multiply 2 by x, then add it to 8m same with the 3 in plant.
A live plant was placed in a closed container in a lab. Sensors were set up to monitor the levels of oxygen in the container over several hours. At which hour were the lights turned on in the lab?
Answers
Answer:
Its 4
Step-by-step explanation
Good luck love! Your gonna do amazing!
I'll give Brainliest!!
What was the cure or vaccine Aklilu Lemma found ?
A) Bilharzia
B) Schistosomiasis
C) Snail fever
D) All
TYVM!!
Answers
…………………………………………
evaluate (4+17) - (16-9)
Answers
Write 4.02 as a mixed number.
Answers
Answer:
[tex]\frac{201}{50}[/tex] or [tex]4\frac{1}{5}[/tex]
Step-by-step explanation:
Hope this picture helps:
I like doing it first in mixed number.
50 goes into 200, 4 times.
1/5 of it is left so you add that to there =
[tex]4\frac{1}{5}[/tex]
(WILL MARK BRAINLIEST YIPPEE!)
Solve the following problem, then, type your answer and strategy in the text box.
Answers
Answer:
B-46145 yards
Step-by-step explanation:
OK SO
26 miles = 45760 YARDS
So add 385 YARDS TO THAT YARDS AND YOU GET THE ANSWER!!
Answer:
46145 yards
Step-by-step explanation:
26 miles = 45760 yards
Find the number that makes the ratio equivalent to 2:7.
___:84
Answers
Which situation can be represented by y = 4x?
Responses
Answers
Answer: Not sure if this is multiple choice but the 2nd one seems right to me
Step-by-step explanation:
Please answer
soon and fast
if more pictures are needed please tell me
A: if 1200 are in the district, how many students will be expected to oppose
B: Based on the survey a student is more likely to be either undecided or opposed than in favor (agree or disagree) (why or why not)
Answers
Answer: The number of students expected to oppose cannot be determined from the given information. More details about the context of the survey, such as the survey questions, sample size, and response rate, may be needed to make any predictions about student attitudes.
If a survey is designed in a way that encourages students to have a neutral or negative response, or if the survey is biased in some way, it could explain why students are more likely to be undecided or opposed than in favor.
It is important to analyze survey data carefully and consider factors that may influence student responses, such as demographic characteristics, prior knowledge or experiences, and social or cultural factors.
Furthermore, it may be helpful to conduct follow-up research, such as interviews or focus groups, to gain a deeper understanding of student perspectives and attitudes.
Ultimately, any conclusions drawn from survey data should be based on sound statistical methods and rigorous analysis to ensure accuracy and reliability.
Step-by-step explanation:
A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the couple had paid $2,250 in interest.
What was the length of the couple’s loan?
Answers
Answer: They couple's loan was 6 years.
Step-by-step explanation: 7.5% of 5000 is 375, 2,250 divided by 375 is 6.
Confused, please explain.
Answers
- each square foot is 11$.
- to find the total area use = L x W
- multiply the amount of one unit (11) by the total area.
[steps below]
Answer:
$2431
Step-by-step explanation:
First, we have to find the area of the rectange which is 221ft² because the formula for finding the area of a rectangle is length x width. Now since we know that each square ft is equal to $11, we have to multiply 11 x 221 which gives us our answer 2431. Now we just add the dollar sign in front and it become $2431!
What's the answer to b = and c =
Answers
c=123 because c and 123° are vertical angles which have the same measure
Answer: The person who answered is correct! :)
(I was just double checking and the person is correct)
Step-by-step explanation:
How can you divided a fractions
Answers
Answer:
I have explained below
Brief explanation:
To divide fractions take the fraction you're dividing by and turn it around. Then replace the division sign with a multiplication sign.
This is how it works - I'll illustrate with an example
[tex]\frac{1}{2} :\frac{2}{3}[/tex]
[tex]\frac{1}{2} : \frac{3}{2}[/tex]
[tex]\frac{1}{2} *\frac{3}{2}[/tex]
now just multiply over
[tex]\frac{1*3}{2*2}[/tex]
[tex]\frac{3}{4}[/tex]
--
Devon spent 8 minutes on the phone while routing 2 phone calls. If she routes 5 phone calls, how much time will Devon have spent on the phone in total? Solve using unit rates.
minutes:
Answers
Answer:
Step-by-step explanation:
I believe the answer would be 20 because 1 phone call would be 4 minutes long and therefore 4x5=20.
Wallace's bike lock is a five-digit code. He tells his friends that the code is $3$ prime numbers that are each $10$ apart, written in increasing order. Hearing this, Izzy laughs because now she knows Wallace's code. What is his code?
Answers
The number of digits is an illustration of combination, and there are 40,000 possible codes that start with a prime number that Genevieve could create
How to determine the number of digits?
The given parameters are:
Length = 5
First digit = Prime number (2, 3, 5, and 7)
This means that the first digit can be any of the 4 prime numbers, while the other four digits can be any of the 10 digits 0 - 9
So, the number of codes is
Code = 4 * 10 * 10 * 10 * 10
Evaluate
Codes = 40,000
Hence, there are 40,000 possible codes that start with a prime number that Genevieve could create
(PLEASE HELP QUICK)
Elise paid 2/3 as much for a sweater as she did for a pair of shoes. How much did elise pay for the sweater if the shoes cost each given amount?Circle each correct amount.
Cost $75
Cost $42
Answers
Answer:$40
Step-by-step explanation:
(2/3)*60 = (2*60)/3 = 120/3 = 40
Notice how 40/60 = 2/3
Good luck!
Answer:
Step-by-step explanation:
60 / 3 = 20 x 2 = 40
75 / 3 = 25 x 2 = 50
42 / 3 = 14 x 2 = 28
Those are the answers.
An animal hospital has 36 cat patients. Each cat eats 3 scoops of cat food per day. Let s represent the total number of scoops of cat food the animal hospital will need per day. Part A Which equation represents the total number of scoops of cat food the animal hospital will need per day? 36 = 3s s = 36 × 3 s = 36 + 3 36 = s − 3 Part B Select the correct value to complete the statement. The animal hospital will need Choose... scoops of cat food per day.
Answers
Answer:
I think 36=3s is the answer.
Step-by-step explanation:
36÷3=12
In order to make a doughnut, a circular piece of dough that has a diameter of 2 inches is cut out of the center of a larger circular piece of dough that is 5 inches in diameter. What is the surface area of the top of the doughnut? You may leave your answers in terms of π.
Answers
#1.) 3% of $400 is what number?
#2.) 30% of 11.5 is what number?
#3.) 2% of $3,350 is what number?
#4.) 534 is what percent of 600?
#5.) 70 is what percent of 700?
show all your work!!!
Answers
Answer:
see below
Step-by-step explanation:
3% * 400 = 3/100 * 400 = 3*4 =12
30% of 11.5 = 30/100 * 11.5 = 3.45
2% of 3350 = 2/100 * 3315 = 67
x = 535/600 =0.891, so 89.1%
x = 70/700 = 0.1 so 10%
Tyrese wants to buy 15 packs of baseball cards. They cost $5.00 per pack. There is a 25% discount before tax if 10 or more packs are purchased. Sales tax is 7%. Tyrese gives the cashier $100 to pay for his baseball cards.
How much change will he receive in return?
Answers
Answer:
$39.81
Step-by-step explanation:
$5.00 per pack
15 packs
25% discount for 10 or more packs
7% sales tax
paid $100
change?
A 25% discount means that you pay 75% of the price.
75% = 0.75
A 7% sales tax means that you pay 107% of the price.
107% = 1.07
15 × $5 × 0.75 × 1.07 = $60.19
$100 - 60.19 = $39.81
Answer: $39.81
-What is the y-intercept of the line of best fit?
-What is the slope of the line of best fit for this scatter plot?
-What is the equation of the line of best fit?
Answers
Answer:
y-intercept : 8
slope: -1/2
equation: [tex]y = -\dfrac{1}{2}x + 8[/tex]
Step-by-step explanation:
The y-intercept is where the line crosses the y axis and you can see it crosses at y = 8 (when x =0)
Slope of the line can be found by the formula (y2-y1) / (x2-x1) where 9x1, y1) and (x2, y2) are two points on the line
Let's take the points (0, 8) and (10, 3) the two extreme points on the line
Slope = (3 - 8) / (10 - 0) = -5 / 10 = - 1/2
Equation of a line in slope intercept form is
y = mx + c
where m is the slope
b is the y intercept
The equation of the line is therefore
[tex]y = -\dfrac{1}{2}x + 8[/tex]
Answer:
Y-intercept = 8
Slope = -1/2t
Equation = y =-1/2x+8
Step-by-step explanation:
When x = 0, y = y-intercept.
Therefore, the y-intercept is 8.
We can find the slope using the formula y2-y1 / x2-x1 = m.
Let's use the points (0,8) and (4,6)
6-8 / 4-0 = m;
m = - 1/2.
Given that the generic formula is y=mx+b, and m-slop and b=y-intercept, we have:
y = -1/2x+8.
HELP! I'VE BEEN WORKING ON THIS QUESTION FOR A LONG TIME, BUT I CAN'T FIND THE ANSWER
Answers
Answer: y=4x-3
Step-by-step explanation:
You need to find (change in y)/(change in x) to find slope. 4/1=4. So the slope is 4. Then find the y intercept which is (0,-3). So the equation in slope intercept form is y=4x-3.
y=4x-3
Naomi pours a total of 6 liters of water into beakers for a science experiment. She measures 1/8 of a liter into each beaker. Drag numbers to complete an equation that represents this situation and shows the greatest number of beakers she can measure water into.
Answers
Answer:
Step-by-step explanation:
6=1/8x
multiply both sides by 8
48=x
write an inequality for x is less than "-3"
Answers
This is the answer
yea that’s the best answer
can anyone help me out?
Answers
Step-by-step explanation:
I will only do number 1 to help you through this, any questions about the rest just ask!
1. 11 + (20 - 13)
Always start with the parentheses, so first, you will subtract 20 - 13 which will give you 7, with the 7 you will add it to the 11 because that's a leftover number, so you would have to add 11 + 7 which would equal 18.
I usually remember this:
Please Excuse My Dear Aunt Sally,
It stands for
P =Parentheses
E= Exponents
M =Multiplication
D = Division
A = Addition
S = Subtraction
------
Always go in order, that's why I said "Always start with the parentheses" because it's in the first place.
-Hope this helps, good luck !
It stands for,
B-Brackets,
O-Orders (powers/indices or roots),
D-Division,
M-Multiplication,
A-Addition,
S-Subtraction.
This is the order.
But the order depends on which operation comes first. If the division part comes before multiplication, then we first divide before multiplying. If the multiplication comes in before division, then we multiply before dividing. This is same for addition and subtraction too.Here are some examples for multiplication and division.
1) 2 x 8 ÷ 4
=16 ÷ 4
= 4
2) 4 ÷ 2 x 8
= 2 x 8
= 16
Any how you should do multiplication and division before addition and subtraction according to BODMAS.
I will make 6th sum in your paper.
6) ( 2 + 3) x ( 11 - 5 )
= 5 x 6
=30
Study this example,Try to solve
[18 - 2(5 + 1)] ÷ 3 + 7
We begin with solving the innermost bracket first. Starting with 5 + 1 = 6. Thus, [18 - 2(6)] ÷ 3 + 7
Next, we work with the order, thereby multiplying 2 (6) or 2 × 6 = 12. Thus, [18 - 12] ÷ 3 + 7
There is one bracket left, [18 - 12] = 6. So, 6 ÷ 3 + 7
After B and O comes D, hence, 6 ÷ 3 = 2. So, 2 + 7
Answer= 9
Hope you will understand
Hall has opened a new bake shop in town selling pies. Hall sells each pie for $7 and has spent $590 on rent and maintenance this month. How many pies did Hall sell if he made $320 profit this month?
Answers
Answer:
130
Step-by-step explanation:
p = 320 = total sales - 590
total sales = 7* x pies = 590+320 =910
x = 910/7 = 130
The plot shown below describes the relationship between students' scores on the first exam in a class and their corresponding scores on the second exam in the class.
Which of the following is the best estimate of the average change in the score on Exam
2 associated with a 1 point increase in the score of Exam 1
Answers
Answer:
1 point increasee
Step-by-step explanation:
100