Answer:
[tex]\boxed {a_{24} = - 70}[/tex]
Step-by-step explanation:
According to the following pattern sequence ([tex]-1, -4, -7, -10[/tex] ), it is Arithmetic Sequence, because every negative number is subtracted by [tex]3[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:
[tex]a_{n} = a_{1} + (n - 1) d[/tex]
[tex]a_{n}[/tex]: nth term in the sequence
[tex]a_{1}[/tex]: 1st term
[tex]n[/tex]: term position
[tex]d[/tex]: Common difference
-Apply to the formula:
[tex]a_{24} = -1 - 3 (24 - 1)[/tex]
[tex]a_{n} = a_{24}[/tex]
[tex]a_{1} = -1[/tex]
[tex]n = 24[/tex]
[tex]d = -3[/tex]
-Solve:
[tex]a_{24} = -1 - 3 (24 - 1)[/tex]
[tex]a_{24} = -1 - 3 (23)[/tex]
[tex]a_{24} = -1 - 69[/tex]
[tex]\boxed {a_{24} = - 70}[/tex]
Therefore, the 24th term is [tex]-70[/tex].
HURRYYYY Are these expressions equivalent? Explain why or why
not.
42 + 35
7(6 + 5)
Answer:
Yes, they are equivalent!
Step-by-step explanation:
42+35=77
PEMDAS calls for 6+5 ( in parentheses ) which equals 11.
11*7=77
Answer:
equivalent
Step-by-step explanation:
42+35=77
7(6+5)=42+35
which is 77
and 77=77
Solve the following compound inequality.
Answer:
C
Step-by-step explanation:
Given
5x + 7 ≤ - 3 or 3x - 4 ≥ 11
Solve the inequalities either side of the or
5x + 7 ≤ - 3 ( subtract 7 from both sides )
5x ≤ - 10 ( divide both sides by 5 )
x ≤ - 2
or
3x - 4 ≥ 11 ( add 4 to both sides )
3x ≥ 15 ( divide both sides by 3 )
x ≥ 5
Solution is x ≤ - 2 or x ≥ 5 → C
Answer:
c. x<_-2 OR x>_5
Jane has 8 pencils and 10 erasers. What is the ratio of erasers to pencils?
Answer:
10:8 or 10 to 8
both the same thing worded differently.
Step-by-step explanation:
There are 10 erasers and 8 pencils so you say 10:8
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answer:
83 points.
Step-by-step explanation:
7th grade math , I’ll give brainliest
25 X 8 = 200
500 - 200 = 300
So if you have 8 weeks and spend 25 dollars a week then you would have $300 left over at the end of the 8 weeks.
Hope this helps Plz mark brainliest
Geometry. Please help. I will mark you as brainliest.
Answer:
answer is P is wright answer
1. What is the value of x in the equation 6x + 3 = 8x - 21?
A.X= 4
B. x = 8
C. X = 12
D. x = 16
for this question your answer is D
Consider the product P(x) = (3x2 - 6x + 2)(7x + 3).
What is the numerical coefficient of the x term in P(x)?
Enter only a number for your answer.
Answer:
-4
Step-by-step explanation:
Notice that the only way to multiply 2 numbers from each of the polynomials and get an x term is to multiply a constant and an x term.
The only ways to do that is to multiply -6x by 3 and 7x by 2.
After you're done multiplying, just combine the 2 like terms:
-18x+14x
=-4x
Therefore, the coefficient of the x term is -4.
Which is the best way to estimate 32% of 13?
1/2 x 10
1/4 x 12
1/3 x 15
1/3 x 12
Please answer quickly
Answer:
32% of 13 is 3.84
Step-by-step explanation:
but if your doing estimate one of those it would be 1/3*12
hope that helped
1. If m28 = 23°, find the measure of each missing angle. Give your reasoning.
a. m21 =
b. m 2 =
c. mZ3 =
d. m24 =
e. m25 =
f. m26 =
g. m27 =
Answer/explanation:
Given:
m<8 = 23°
a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)
m<1 = 180 - 23 = 157°
b. m<2 + m<1 = 180° (linear pair)
m<2 + 157° = 180°
m<2 = 180° - 153° = 23°
c. m<3 = m<1 (vertical angles are congruent)
m<3 = 157°
d. m<4 = m<2 (vertical angles are congruent)
m<4 = 23°
e. m<5 = m<1 (corresponding angles)
m<5 = 157°
f. m<6 = m<8 (vertical angles are congruent)
m<6 = 23°
g. m<7 = m<5 (vertical angles are congruent)
m<7 = 157°
PLS ANSWER QUICKLY!
A line passes through the point (-2,3) and has a slope of 1/5.
show work to write the equation of the line in point-slope form.
Y-3=1/5(x+2) is the answer.
The ratio of basketballs to volleyball in the gym is 3 to 5. If there are 60 volleyball in the gym, how many basketballs are there?
i really really need help
Answer:
with what? i can help you more than likely if you tell me what you need help with.
Step-by-step explanation:
Gary recently went to the local grocery market to purchase some tomatoes. He bought 4 pounds of tomatoes for $5.96. How much is one pound of tomatoes?
Group of answer choices
$1.59
$1.49
$1.39
$1.69
Rewrite the following equation in standard form.
y + 4 = 5(x - 8)
Answer:
5x-y-36=0
Step-by-step explanation:
y+4=5x-40
5x-y=36
a forth of all students im Mr.Flitch class of 24 got A on the last math test.How many kids scored below A on the test?
A forth can be represented as 25% or 0.25 as a decimal. (100/4 = 25)
To determine how many kids got an A, we figure out was 25% of 24 is.
0.25 x 24 = 6
Therefore, 6 kids in the class got an A.
At the gym, Garson always completes 3 pull-ups for every 8 sit-ups he does. Last night, Garson completed 24 sit-ups. Which ratio represents the relationship between the number of pull-ups and the number of sit-ups Garson completed last night?
Answer:
9:24 simplifies to 3:8
Step-by-step explanation:
3:8
24/8=3
3*3=9
last night he did 9 pull ups and 24 situps
A rectangular field measures 400m by 900m, what is the perimeter of the field:
(A) in meters
(B)kilometers
Answer:
a) 1790 b) 1.79
Step-by-step explanation:
a) you just add to get the perimiter 2(900) + 2(400) to get 1790
b) 1000 meters makes a kilometer so we divide by 1000 and get 1.79 for the kilometers
Line segment RS has endpoints R(5,7) and s(-1,-2).
What are the coordinates of the midpoint of RS?
Answer:
Midpoint = (2,2.5)
Step-by-step explanation:
Line segment RS has endpoints R(5,7) and S(-1,-2)Midpoint = [tex](\frac{5 + -1}{2} , \frac{7 + -2}{2} ) = (2,2.5)[/tex]
Did I get these right?
All freshman are required to attend orientation. if-than
Answer:
yes
Step-by-step explanation:
you just need too
Determine whether each number is rational or irrational
Answer:
B C E G J
Step-by-step explanation:
27 = -4x + 11
I need hello pronto
Answer:
x = -4
Step-by-step explanation:
27 = - 4x + 11
solve using inverse operations
27 = -4x + 11
-11 -11
16 = -4x
/-4 /-4
-4 = x
Given mn, find the value of x.
Answer:
x = 32 degrees
Step-by-step explanation:
since there is a line intersecting both of the lines you would do the opposite number to solve the problem. basically what i am trying to say is.
A straight line equals 180 degrees
and the given angle is 148 degrees
so just subtract.
180 degrees - 148 degrees = 32 degrees
so x = 32 degrees
to see if it is reasonable, look at the angle
if you look you can see that it is an acute angle
so, since 32 degrees is an acute angle, the answer is also reasonable.
so like i said,
x = 32 degrees
The interior angles of parallel lines and a transversal are the angles between the parallel lines.
The value of x is 32 degrees
Alternate interior angles of a parallel line add up to 180 degrees.
So:
[tex]\mathbf{148 + x = 180}[/tex]
Subtract 148 from both sides
[tex]\mathbf{148 - 148+ x = 180 - 148}[/tex]
Evaluate like terms
[tex]\mathbf{x = 32}[/tex]
Hence, the value of x is 32 degrees
Read more about alternate interior angles at:
https://brainly.com/question/15685431
Evaluate
14/75
×
15/22
Give your answer as a fraction in its simplest form.
Answer:
[tex] \frac{14}{75 } \times \frac{15}{22} = \frac{7}{55} [/tex]
Step-by-step explanation:
[tex]75 \div 15 = 5 \: 14 \div 2 = 7 \: 22 \div 2 = 11[/tex]
The value of the fraction is given by the equation A = 7 / 55
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be represented as p = 14/75
Let the second fraction be represented as q = 15/22
Now , A = p x q
Substituting the values in the equation , we get
A = ( 14/75 ) x ( 15/22 )
A = 210 / 1650
A = 42 / 330
A = 14 / 110
A = 7/55
Therefore , the value of A is 7/55
Hence , the fraction is A = 7/55
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Which of the following best describes a point of symmetry?
Answer:
The point about which an image is rotated in rotational symmetry
Hope this helps :)
Answer:
Centre
Step-by-step explanation:
A point of symmetry is a line where a 2d or 3d drawing or object can be parted in halves leaving no excess
I turned it in and it says we got one wrong(out of those blanks). I've checked over it several times but I can't figure out which one. Could you guys help me figure out which one and what is the answer?
Answer:
Try as percentages so
7) 37.5%
8) 50%
9) 12.5%
10) 62.5%
11) 87.5%
12) 50%
13) 62.5%
14) 37.5%
15) 100%
Step-by-step explanation:
Solve the inequality -3/5 < r -3/5 how to solve
Answer:
Step-by-step explanations:
Answer:
r > 0 should be your answer
0 , and that infinity symbol (i cant find it :/)
What is the slope on this graph PLEASE HELP FAST!!!
Answer:
slope = 6
Step-by-step explanation:
slope = rise/run
rise = 12 run = 2
In 2005, the UT Longhorns scored 15 times to win the Big 12 Championship Game 70-3. All of their points came from touchdowns (6 points each) and extra point kicks (1 point each). How many touchdowns and extra points did the Longhorns have in that game? (For the purposes of this problem, touchdowns and extra point kicks count as separate "scores".
Answer:
The number of touch downs = 11
The number of extra points = 4
Step-by-step explanation:
The number of times UT Longhorns scored = 15 times
The composition of the scores = Touch down and point kicks
The points with which UT Longhorns won the game = 70-3
The points that came from each touch down = 6 points
The points that came from each point kick = 1 points
We have;
The number of touch downs + Point kicks = 15
The number of touch downs = 15 - Point kicks
Let the number of point kicks = P
Therefore;
The number of touch downs = 15 - Point kicks = 15 - P
The number of touch downs = 15 - P
Given that the total points of UT Longhorns = 70, we have;
6 × (15 - P) + 1 × P = 70
90 - 6·P + P = 70
5·P = 90 - 70 = 20
P = 4
∴ The number of point kicks = P = 4
The number of point kicks, extra points = 4
The number of touch downs = 15 - P = 15 - 4 = 11
The number of touch downs = 11