The ordered pair (3,9) is a solution to the system of
equations below because the values make both
equations true.
2x + 3 = y
2x + y = 15
Is (2,7) also a solution to this system of equations?
Yes
No
Explain your thinking.
Answer:
(2,7) is not a solution to the given system of equations.
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
write in standard form: eight and twenty nine hundredths
Answer:
8 hundred 29 thousand
Step-by-step explanation:
No explanation for this question.
8.29dbyevsvegehehshhs
I need help plzzzzzzzz
Answer:
B and 7
Step-by-step explanation:
because 9 minus 2 is 7
Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12
He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.
Answer:
He did not multiply 2/3 by a fraction equal to 1.
Step-by-step explanation:
For example he could have multiplied 2/3 by 4/4
= 2*4/3*4 = 8/12,
O will give te brainliest plz help
Answer:
B
Hope it helps uwu
What is the domain of the function y=2./X-6?
O 0x
O 3x<0
O 6x<0
Answer:
because this is a positive root function, domain is positive so
0<=x<infinity
Step-by-step explanation:
Which equation shows the zero property of multiplication
A. 4×0=0
B. 9+9+9=3×9
C. 3×6=6×3
D. 5×1=1
Answer:
A. 4×0= 0
Step-by-step explanation:
since it shows that any number you multiply by 0 still gives you 0
WORTH 20 POINTS PLS HELP!!!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part B: There is a positive and negative x intercept for this function. What is the positive x-intercept?
Explain what this x-intercept represents in the given situation.
h(x)=-16x2+64x+80
Here the positive intercept should be considered as the -1 and 5.
Calculation of the positive intercept:Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.
In this case it would be 0 feet.
So,
[tex]h(x)= -16x^2-16x+80x+80[/tex]
h(x)= -x(16x-16) +5(16x+16)
h(x)= (-x+5)(16x+16)
x intercepts = -1 and 5
Learn more about intercept here: https://brainly.com/question/15546484
9x81 simplfy in distributive proper
Answer:
the answer is 729.........
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Answer:
See explanation below
Step-by-step explanation:
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Given the equations;
2x = 10
x = 10/2
x = 5
For the equation 2x > 10
x > 10/2
x > 5
The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5
Sajid put 49 apples in each of 23 baskets. How many apples did Sajid put in all the baskets?
Answer:
1127 apples
Step-by-step explanation:
49 x 23= 1127
stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
helppppppppppppppppppppp
Answer:
$7.20
Step-by-step explanation:
60% of 4.5 = 2.7
4.5+2.7 = $7.2
Answer:
7.2
Step-by-step explanation:
So u do 60% of 4.5 and add ur answer to 4.5
• 6 mystery books
5 science books
• 4 history books
3 adventure books
.
Robero will randomly choose 1 book to read. What is the probability that he will
choose an adventure book?
Answer:
Step-by-step explanation:
How many books are there?
6+5+4+3 = 18 books total
How many are adventure books?
3
3 out of 18 books are adventure books
Robero has a 3/18 probability of choosing an adventure book.
Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.
You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).
3/3 = 1
18/3 = 6
So the fraction can be reduced to 1/6.
Robero has a 1/6 chance of choosing an adventure book.
hummingbirds fly 25 miles per hour convert this speed to feet per second
Answer:
36.667
Step-by-step explanation:
thirty six point six hundred sixty seven
7. A bag of M&Ms dumped on the table and you court 91 blue pieces Approximately how many
M&ms do you expect to be in the entire bag based on the proportions of the entire class?
Answer:
i would think that there would be at least 100 m&m in the bag
Step-by-step explanation:
i might be wrong a hven't had m&m in about 10 years
1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12
Answer:
33
Step-by-step explanation:
3(3) + 2 (2(3)+6)
=9 + 2 (12)
=9 + 24
=33
at 6:00 a.m., the temperature is 58°. At 2:00 p.m., temperature is 76°. Find the rate of change in degrees per hour during this time.
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.
A baby elephant weighs 200 pounds at birth. It gains 3 pounds every day. Write an equation that represents this situation.
Answer:
y=200+3x
Step-by-step explanation:
I hope that this helps you
QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5
Answer:
The answer is x = 20
Step-by-step explanation:
If you set both equations equal to each other and solve for x, you will get 20.
3x+32 = 5x-8 add 8 to both sides
3x+40 = 5x subtract 3x from both sides
40 = 2x divide by 2 on both sides
20 = x
Evaluate the expression.
Answer: 13
Step-by-step explanation:
I need help! I have an idea of which pick.
Answer: ok so I am bad at this but i would pick.....the top one
Step-by-step explanation:
Pls help I need a good grade
Answer:
y=4/7x
Step-by-step explanation:
Graph the point (4,7) and (0,0) because x is pint and y is servings
The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate
Answer:
1)k=1.50408
2)=64
3)P(t)=64e^(1.50408t)
4)=118098
5)t=6.42 hrs
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.
1. What is the relative growth rate?
2. What was the initial size of the culture?
3. Find an expression for the number of bacteria after t hours.
4. Find the number of cells after 5 hours.
5. When will the population reach 1000000?
To find relative growth rate, expression below can be used
P(t)= Po*e^(kt)
Where k= growth rate
Po= initial amount
t= time in hours
We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as
P(2)= P(o)e^(2k)= 1296.........eqn(1)
P(6)= P(o)e^(6k)= 531441........eqn(2)
If we find the ratio of the two eqn we have
531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]
410.0625= e^(4k)
If we take Ln of both side
ln 410.0625=ln(e^4k)
k=1.50408
1)= k=1.50408
2)
From P(2)= Po*e^(2k)= 1296
1296=Po × e^(2×1.50408)
1296= Po × e^(3.00816)
Po=1296/e^(3.00816)
=64
3) the expression is P(t)=64e^(1.50408t)
4). P(5)=64e^(1.50408×5)
=118098
5) P(t)= 1,000,000
1000000=64e^(1.50408t)
1000000/64 = 64e^(1.50408t)
Ln(15625)=ln[e^(1.50408t)]
9.657=e^(1.50408t)
t=6.42 hrs
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer:
Susana will have 107 students.
Step-by-step explanation:
Becca have students = 115
Susana has 8 fewer students than Becca.We can write its as:
Becca has 115 students, so Susana will have 115-8 = 107 students
Because fewer means less than so, 8 less than 115 is 115-8
Erika has 25 more students than Susana.We can write it as:
Susana has 107 students, so Erika will have: 107+25 = 132 students.
because more means we need to add 25 students with number of students in Susana class.
So, Susana will have 107 students.
An automobile manufacturer claims that its van has a 59.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 59.5. Assume the variance is known to be 2.89. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
Test statistic Z = 1.8099
Step-by-step explanation:
Step(i):-
Given that mean of the Population (μ) = 59.1 miles/gallon
Mean of the sample (x⁻ ) = 59.5
The standard deviation of the Population = 2.89
mean of the sample (n) = 160
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]
Z = 1.8099
Test statistic = 1.8099
William was parasailing at about 900 feet in the air while a shark swam
directly below him at 30 feet below the surface of the ocean. How far is
William from the shark?*
Answer:
930m
Step-by-step explanation:
It says they were 900 feet in the air below him is the ocean so thats 900 meters away from him and the shark is 30 feat below the surface of the ocean so you would do 900+30=930m so the shark is 930m away from him
Helppppppppp plzzzzz
Answer:
1) 25, 2) 6
Step-by-step explanation:
If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the
orginal?
Answer:
1=6
7=42
2.5=15
5=30
Step-by-step explanation:
Multiply each original value by the scale factor
1×6=6
7×6=42
2.5×6=15 (2×6 + 6×0.5)
5×6=30
Answer:
Original: 5 cm = Enlarged: 30 cm
Original: 7 cm = Enlarged: 42 cm
Original: 2.5 cm = Enlarged: 15 cm
Original: 1 cm = Enlarged: 6 cm
Step-by-step explanation:
Edg Warm-up answer 2021
mZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
K
L
M
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: Isosceles trapezoid is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°