Given:
At a college, the tuition increased by 10%. Let b be the former cost of tuition.
Use the expression [tex]b + 0.10b[/tex] for the new cost of tuition.
To find:
The equivalent expression by combining like terms.
Solution:
We have,
[tex]b + 0.10b[/tex]
On combining the like terms, we get
[tex]b + 0.10b=1.10b[/tex]
Therefore, the required equivalent expression is 1.10b.
Compare | -3| And 1
PLS
Answer:
|-3| > 1
Step-by-step explanation:
Well |-3| = 3
3 > 1
1 < 3
(you can replace 3 for |-3| in those up there^)
A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has the following help in covering the costs of school. An academic scholarship of $8,200. Other scholarships and grants of $7,400. Grandparents pay $1,000. What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?
Answer:
Answer is 690 every month
Step-by-step explanation:
The total cost is $23,500
Scholarship:8200$
2nd scholarship:7400$
Grandparents: 1000$
23,500-8,200-7400-1000=6900÷10=690
He will have to save up 690 every month for 10 months
What property of operations can be used to justify that the two expressions in this equation are equivalent? 6x^2 +4x=4x + 6x^2
Answer:
Commutative
Step-by-step explanation:
There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.
The expression given is : [tex]$6x^2 + 4x=4x+6x^2$[/tex]
So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.
Thus the sum of the above expression will be same in which ever order the numbers are added.
What is 12x^2 + 53x + 20 written as a product?
Answer:
(12x+5)(x+4)
Step-by-step explanation:
Write an equation that could be used to find the value of x using the interior angles of ∆BDC, then solve it.
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.
Using ∆ABD
55 +90 +2x+3 = 180
2x = 32 . . . . . . subtract 148
x = 16
Using ∆BCD
50 +90 +2x+8 = 180
2x = 32 . . . . . . subtract 148
x = 16
Using ∆ABC
55 +(2x +3) +50 +(2x +8) = 180
4x = 64 . . . . . . . subtract 116
x = 16
evaluate the expression
I 13 I + I -2 I
Answer:
15
Step-by-step explanation:
Apply absolute rule: | a | = a, a ≥ 0
| 13 | = 13
= 13 + | -2 |
| -2 | = 2
= 13 + 2
= 15
Pig E Bank brags a 4% interest rate compounded annually. If Mr. Ant wants to invest $5,000
on his first born child's birthday and surprise him with the account on the child's 40th
birthday. Write and solve an equation to determine the amount in the account when his
child turns 40.
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
Given a rectangle with length of (2x+9)cm and width of (3x+1)cm.Two squares, each with sides x cm is removed from the rectangle.The remaining shape has an area of 83cm².Find the value of length and width of the rectangle.
Answer: The length is 13cm and the width is 7cm
Step-by-step explanation:
For a rectangle of length L and width W, the area is:
A = W*L
In this case we have:
L = (2*x + 9) cm
W=(3*x + 1) cm
Then the area of the rectangle is:
A = (2*x + 9)*(3*x + 1) cm^2
A = (6*x^2 + 2*x + 27*x + 9) cm^2
A = (6*x^2 + 29*x + 9) cm^2
now we remove two squares with sides of x cm
The area of each one of these squares is (x cm)*(x cm) = x^2 cm^2
Then the area of the figure will be:
area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2
area = (4*x^2 + 29*x + 9) cm^2
Now we know that the area of this shape is 83 cm^2, then we need to solve:
83 cm^2 = (4*x^2 + 29*x + 9) cm^2
0 = (4*x^2 + 29*x + 9) cm^2 - 83 cm^2
0 = (4*x^2 + 29*x - 74) cm^2
Then we need to solve:
0 = 4*x^2 + 29*x - 74
Here we can use Bhaskara's equation, the solutions of this equation are given by:
[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)} }{2*4} = \frac{-29 \pm 45}{8}[/tex]
Then the two solutions are:
x = (-29 - 45)/8 = -9.25 (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).
The other solution is:
x = (-29 + 45)/8 = 2
x = 2
Then the length and width of the rectangle are:
Length = (2*2 + 9)cm = 13 cm
Width = (3*2 + 1)cm = 7cm
Shalini blusex batting scores were 13144 155 142 167 172 what was his score
The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to
get to the bottom number.
What are the possible values for m and n?
Answer: -3 and -6
Step-by-step explanation: I took the quiz
June had aphids in 30% of her rose bushes. She had 40 bushes. How many plants must she release ladybugs on to eat the aphids and save the roses?
Answer::
Step-by-step explanation:
Jessie spent a total of 14.00 to purchase a gift and have it gift-wrapped and mailed. The cost for the postage was $2.25, and she knows the gift itself cost $9.50.
Answer:
she spent 11.75$ total
Step-by-step explanation:
9.50+2.25=11.75
due this Thursday.. help pls.
9514 1404 393
Answer:
9.90×10^-15
Step-by-step explanation:
The leading non-zero digit must be move 15 places to the left to put it in the units place. Having done that, its original value will be restored by multiplying by 10^-15.
Rounded to 3 significant figures, 989912345 becomes 990. The trailing zero must be kept as part of the number to indicate that there are 3 significant figures.
In scientific notation, the number is ...
9.90×10^-15
_____
Additional comment
If the number can be copied and pasted to a spreadsheet, it can be formatted to scientific notation with the required number of digits. Here, we can't copy the number from the image, so we have marked off the decimal places in a way that makes them easier to count. Copying the given number text would avoid any transcription errors.
Which of the expressions have like terms? select all that apply
A. 14m + mn
B. 2y + 2x + 4
C. -3/4m + 8m + m
D. 4 - 3p
E. 5.75t + 7.75t - t
F. 8xy - 6xy
Answer:
C, E and F
Step-by-step explanation:
As,
C. - 3/4 m + 8m + m. [Like terms of m]
= 29/4 m + m
= 33/4 m
E. 5. 75t + 7.75 t - t. [Like terms of t]
= 13.5t - t
= 12 . 5t
F. 8xy - 6xy. [Like terms of xy]
= 2xy
which statement is incorrect?
Where exactly are the alleged statements?
Given the triangle below, which of the following equations correctly represents the relationship between a, b, and c?
Answer:
C. c^2=a^2+b^2-2abcos(90°)
Step-by-step explanation:
This is the law of cosine.
Answer:
C, you're welcome :)
Step-by-step explanation:
Please help i dont know the answer and this is due today
Q Nine divided by the product of a number and Five
Q2 The product of a sum and diffrence of x and y
Step-by-step explanation:
Q Nine divided by the product of a number and Five
Let the number = x
product of a number and Five = x * 5 = 5x
The expression is given as;
[tex]\frac{9}{5x}[/tex]
Q2 The product of a sum and difference of x and y
Sum of x and y = x + y
Difference of x and y = x - y
The expression is given as;
(x + y) * ( x -y)
x^2 + xy - xy - y^2
x^2 - y^2
The product of two consecutive positive integers is 26 more than ten times the largest of the two numbers.
1. Write an equation to represent the situation above.
Answer:
x(x+1)=10(x+1)+26
Step-by-step explanation:
Let the two consecutive positive integers be x and x+1.
The product of these two integers is x(x+1).
The largest of the two numbers is x+1.
By given, x(x+1)=10(x+1)+26.
What is the circumference of a circle with a diameter of 85 feet?
feet
(Use 3.14 for P.)
Answer:
266.9 feet
Step-by-step explanation:
Find the radius
85 ÷ 2 = 42.5
Find the circumference
2 × 3.14 × 42.5 = 266.9 feet
Max is asked to prove that LM=MN Here is hs proof.
This is not a correct proof explain why
Answer:
Its not true because:
Step-by-step explanation:
if you divide by M, with M not being 0, ypu have the equation L=N which is false
What is the range of this data set?
3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8
14.1
15.8
17.8
18.5
Answer:the answer is 15.8
Step-by-step explanation:
The sink started with 20ml of water and increases at 3ml per min. If the sink is currently holding 75ml, how many minutes have passed? Which equation would you use to solve for m (minutes passed)?
Answer:
18.78 minutes is my opinion
Step-by-step explanation:
3 ml is filled in 1 minute
1 ml is filled in 1/3 minutes
20 ml is filled in 1/3*20 minutes
=6.22
75 ml is filled in 1/3*75 minutes
=25
25-6.22=18.78
Question 1 (4 points)
Which statement is true?
F 21 and 22 are alternate interior angles.
G21 and 23 are corresponding angles.
H 23 and 26 are alternate exterior
angles.
J Z3 and 27 are same-side interior
angles.
14.The volume of a cube whose edge is 3x is _______.
FASTT!!!
Answer:
[tex]27x^3[/tex]
Step-by-step explanation:
How many sides does the thirtieth figure have?
Answer:
8.
Step-by-step explanation:
multiples of 3 for every shape.
For the rotation − 104 3 ∘ −1043 ∘ , find the coterminal angle from 0 ∘ ≤ θ < 36 0 ∘ 0 ∘ ≤θ<360 ∘ , the quadrant and the reference angle.
9514 1404 393
Answer:
co-terminal: 37°1st quadrantreference angle: 37°Step-by-step explanation:
-1043°/360° ≈ -2.9
Adding 3×360° will give a co-terminal angle in the range 0-360°:
-1043° +1080° = 37°
This co-terminal angle is in the first quadrant. It is also the reference angle.
plz answer these quickly anyone plz answer
Answer:
1.perimeter=πr/2=3.16×6/2=18.96/2cm=9.48cm
2.perimeter =
πd/2+2×5=3.16×17/2+10=36.86cm
Write 5.9 as a mixed number.
Answer:
[tex]5\frac{9}{10}[/tex]
good luck, i hope this helps :)
Answer:
5 9/10
Step-by-step explanation:
19) The sales tax on a $105 digital camera is $7.15. What is the sales tax rate? (Round your answer to the nearest tenth.)
Answer:
the answer is 6 percent
hope it was help full mark me as braniest
Write the fraction as a decimal.
Round to the nearest hundredth.
7/18~ [?]
Answer:
0.39
Step-by-step explanation:
7/18= 3.888888888
round up
0.39