Answer:
45th term is 85
Step-by-step explanation:
We use the definition of the nth term of an arithmetic sequence:
[tex]a_n=a_1+(n-1)\,d[/tex]
which for our case gives:
[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]
the quotient of two numbers is 4 and their difference is 39. What is the smaller number of the two?
Answer:
13
Step-by-step explanation:
x/y = 4
x=4y
x - y = 39
4y - y = 39
3y = 39
y= 13
Mark has taken 3 tests this semester and his average is a 78%. He really wants to
get his test average to an 80% after his next test. What does he need to get on test
#4 to do that?
Answer:
I would say 82 but it depends on how much each test was worth.
Step-by-step explanation:
The new pool cover is 35 feet long and 13 feet wide with the overhang.
What would be the area of the new solar pool cover for the swimming pool?
Square Feet
Answer:
455
Step-by-step explanation:
multiply the width by the length
Compare -8.9 and -9.3.
A.
-8.9 = -9.3
B.
-8.9 > -9.3
C.
-8.9 < -9.3
A number line will be helpful to compare the two of the given terms. The correct option is B, -8.9 > -9.3.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The two of the given numbers can be compared as shown below.
-8.9 > -9.3
This is because on a number line, numbers on left are of less value than numbers on the right. And since -8.9 is close to 0, then -9.3.
Hence, the correct option is B, -8.9 > -9.3.
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PLEASE HELP ME!!!!!!!!!!
Answer:
-7/10
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 5) and (7, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-5}{7-(-3)}[/tex]
= [tex]\frac{-7}{10}[/tex]
= -7/10
Ms. Psenicska is driving her car at 60 miles per hour. She then increases her speed by 25%. Which of the following expressions can be used to find her
new speed? Select all that apply
60 (0.75)
60 (0.25)
60 - 60 (0.25)
60+ 60 (0.25)
Cam you help me please
Answer:
60 (0.25)
Step-by-step explanation:
how many solutions does this problem have: 2(75 + 8) = 5(85 + 9)
0 solutions.
2(75+8) =5(85+9)
166≠470
Show that sec^2x+csc^2x/sec^2xcsc^2x
Answer:
[tex]\frac{1}{csc^{2}(x)}+\frac{1}{sec^{2}(x)}[/tex]
Step-by-step explanation:
The image below shows step-by-step on how to solve it.
Hope this helps! :)
Use substitution to solve the system x=2y-5 and -2x+5y=11
Answer:
(-3, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x = 2y - 5
-2x + 5y = 11
Step 2: Solve for y
Substitution
Substitute in x: -2(2y - 5) + 5y = 11Distribute -2: -4y + 10 + 5y = 11Combine like terms: y + 10 = 11Isolate y: y = 1Step 3: Solve for x
Define original equation: x = 2y - 5Substitute in y: x = 2(1) - 5Multiply: x = 2 - 5Subtract: x = -3A container is leaking 1 liter every 3/4 hour.How many liters will it leak in 3 3/4 hours
What is the perimeter of the parallelogram?
Answer:
P= 2 (a+b)
Step-by-step explanation:
Multiply the fractions. Select the answer that is in simplest form
9x2 1/3
The product of the given fractions is 21.
The given expression is 9 × [tex]2 \frac{1}{3}[/tex]
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Now, the product of fraction can be solved by multiplying numerators and write the result in numerator and multiplying denominators and write the result in denominators.
That is, 9 × [tex]2 \frac{1}{3}[/tex] = 9 × [tex]\frac{7}{3}[/tex] = 21
Therefore, the product of the given fractions is 21.
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i need help asap what is 12g + 9g
Answer:
21 g
Step-by-step explanation:
you add 12g by 9g and you get 21g
Answer:21g
Step-by-step explanation: The answer is 21g
Which inequality represents this graph? 3y-9>6
Answer: open hole at 5 and shading to the right.
The graph is below.
=======================================================
Explanation:
Let's solve for y
3y - 9 > 6
3y > 6+9
3y > 15
y > 15/3
y > 5
The graph will have an open hole at 5 and shading to the right.
Solve each system by elimnination.
5c- 4t= 8
14 + 4t = 3c
Please help
Find the equation of the line above
The table represents the functions f(x) and g(x) Which input value produces the same output value for
the two functions?
x= -12
x=-9
x=-6
x=-3
Please help
Answer:
x=-6
Step-by-step explanation:
g(-6)=3
f(-6)=3
Which angle is congruent to ∠DFE?
An illustration shows two right angled triangle A B C and D E F; triangle A B C is larger than triangle D E F.
A.
∠ABC
B.
∠FDE
C.
∠FED
D.
∠ACB
The option D is correct. i.e., ∠ACB
In the given question is that
Which angle is congruent to ∠DFE
Answer is ∠DFE ~ ∠ACB
Explanation: By using the illustration shows two right angled triangle ABC and triangle DEF :
Now, If in triangles ABC and triangle DEF
Angle C = Angle F (Right angle)
CB = FE (leg)
AB = DE (hypotenuse)
then, triangle ABC is congruent to triangle DEF.
By SAS rule
Whole triangle ABC is congruent to triangle DEF. Then, we can say that
∠DFE ~ ∠ACB
Hence, The option D is correct. i.e., ∠ACB
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Caroline saved $3.84 on a discounted item that was marked down 15% off of the original price of the item. What was the
original price of the item before the discount?
A $57.60
$18.84
OC $4.42
D $25.00
HELP ME ASAP ILL GIVE BRAINLIST
Answer:
A'B'=2AB
Step-by-step explanation:
Line A'B' is also dilated by the same scale factor of 2 and is therefore equal to 2*AB or 2AB
convert y=1/2x-5 into integers
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
1
2
y-intercept:
5
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
5
2
6
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
2
y-intercept:
5
x
y
0
5
2
6
image of graph
I need help on this math question please fully answer the question i need help.
pls help I will fail 10th grade
Answer: A
Step-by-step explanation: Okay so there are plenty of steps to this equation but to save you time, the answer is A. If your puting
you answer into decimal form it woukd equal x= 4 x= -2.5
WILL GIVE BRAINLIEST IF CORRECT!!
How many different 7-digit positive integers exist? (Note that we don't allow "7-digit" integers that start with 0, such as 0123456; this is actually a 6-digit integer.)
[tex]\huge\boxed{\fcolorbox{red}{pink}{Answer}}[/tex]
[tex]\huge\pink{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}[/tex]
[tex] <marquee behaviour-move> <font color="blue"> <h1>9,000,000 seven</ ht> </marquee> [/tex]
[tex]\huge\pink{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}[/tex]
Please answer this correctly without making mistakes
Answer:
second coupon with 15% off
Step-by-step explanation:
366.99-50= 316.99(first coupon )
366.99×( 100%-15%)= 311.9415 (second coupon)
316.99>311.9415
so the second coupon is the one she should use
Emmett surveyed his class about the number of books his classmates read over the summer. The results of his survey are shown in the
following table.
Number of books Number of students
0-1
9
2-3
8
4-5
2
6-7
5
8-9
3
Emmett created the following histogram from the data, but he made mistakes while constructing it.
Select the parts of the histogram that Emmett needs to fix for the histogram to accurately represent the data in the table.
Number of Books Read
During Summer Break
у
10
Number of Students
8
6
0
10
8
Number of Books Read
no
Answer:
The bar 4-6 and 8-10
Step-by-step explanation:
I got it correct.
Help PLEASE!!! This is urgent
Answer:
.3
Step-by-step explanation:
7+7+6=20
6 green out of 20 total
.30 chance
The other answer choice is 30
Answer:
21 pencils
Step-by-step explanation:
b 21 pencils
solve this fraction
2 3/4 - 5 1/8
If you're reproducing a 3 inch by 3 inch postcard on an 18 inch by 18 inch poster, what ratio do you use?
Answer:
1:6
Step-by-step explanation: