Answer:
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Step-by-step explanation:
Solving (i):
[tex]3 (a + 5b) + a (a + 4)[/tex]
Open brackets
[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]
Collect like terms
[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]
[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]
Solving (ii)
[tex]y (10 - y) + 3 (y - 2)[/tex]
Open bracket
[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]
Collect like terms
[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]
[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]
Solving (iii)
[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]
Open bracket
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]
Collect like terms
[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]
[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]
Solving (iv)
[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]
Open bracket
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]
Collect like terms
[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]
[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]
Solving (v):
[tex]a (a - 2b) + b (b + 2a - c)[/tex]
Open bracket
[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]
Collect like terms
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]
[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]
Solving (vi)
[tex]5 (x - y + z) + (4x + 3y)[/tex]
Open brackets
[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]
Collect like terms
[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]
[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]
Which of the following values are zeros for the function below? Select all that apply.
g(x) = (x² + 4x - 12)(x - 3)
-6
03
-2
0 0
2
3
06
find the nth tearm
-5 -2 3 10 19
Given :
The sequence is -5 , -2 , 3 , 10 , 19 .
To Find :
The nth term of the given sequence .
Solution :
Difference between first 2 terms :
-2 - ( -5 ) = 3 1 term
3 - ( -2 ) = 5 2 term
10 - 3 = 7 3 term
19 - 10 = 9 4 term
From the above observation we can say that difference is increasing in odd number .
So, the nth term will be :
[tex]a_{n+1}= -5 + (2n+1)[/tex] for n greater than equal to 0.
Hence, this is the required solution.
A plumber charges $18 for transportation and $27 per hour for repairs.
Complete the expression that can be used to find the cost in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is
h.
Total = price per hour x number of hours + travel fee.
Total = 27h + 18
Johnny uses the mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.If the mirror is 45 feet away from the building’s base, how tall is the building?
Answer:
Step-by-step explanation:
h/45=6/4
h=45(6)/4
h=67.5ft
wait i love food sooooooooooooooooooooo much
Answer:
Me toooooooooo..!!!!!!!
The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.
Answer:
a) (2, 0.5) (4, 1)
b) V(n) = 0.25n
c) $2.50
d) # quarters = independent
value = dependent
Step-by-step explanation:
The independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.a. Give 2 input-output pairs that represent this function.
There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.
Hence, the two pairs should be as,
(2, 50), (4, 100)
b. Write an equation that represents this function.As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
c. Find the output when the input is 10.Put the value 10 on the place of n in the above equation as,
[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]
The output when the input is 10 is 250 cents.
d. Identify the independent and dependent variables.The independent value is the number of quarters and the dependent variable is the value of cents.
Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Write each phrase as an algebraic expression.
n divided by 8
p multiplied by 4
b plus 14
90 times x
a take away 16
k less than 24
3 groups of w
the sum of 1 and q
the quotient of 13 and z
c added to 45
8 less than w
(please, don't say something random to get points, say the answer only.)
Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).
Answer:
y = 2/5x + 33/5
Step-by-step explanation:
(-9,3) and (1,7)
m=(y2-y1)/(x2-x1)
m=(7-3)/(1+9)
m=4/10
m = 2/5
y - y1 = m(x - x1)
y - 3 = 2/5(x + 9)
y - 3 = 2/5x + 18/5
y = 2/5x + 33/5
How many faces does a solid with 12 vertices and 18 edges have?
28, 18, 6, or 8?
Answer:
8 faces
Step-by-step explanation:
In geometry, the hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.
Hope this helps!
Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?
Answer:
Thank to Goalscore24 correcting me, its actually Maria walking faster
Because 40 divided by 25 is 1.6
and 30 divided by 10 is 3
So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second
So Maria is faster.
Joey has 10 pairs of socks in his drawer. seven of them are white. what percent of colored socks does joey have?
I’m pretty sure it’s 30%
Answer:
30% of Joey's socks are colored.
Step-by-step explanation:
7/10 x 10
= 70/100
100-70= 30%
In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11
Answer:
Population of wolves in 2016 = 23
Step-by-step explanation:
Equation of the line of best fit has been given as,
y = 1.5x - 1
Here, y = population of a pack of wolves
x = duration (in years) since year 2000
Duration between year 2000 and 2016 = 16 years
Now we substitute the value x = 16 in the equation of line of best fit,
y = 1.5(16) - 1
y = 24 - 1
y = 23
Therefore, population of wolves in 2016 = 23
a) Work out (8 x 10°) * (2 x 104)
Give your answer in standard form.
Whats the standard form ?
Answer:
16640x²
Step-by-step explanation:
(-8) + 2 + (-11) - (-9) + (6) cuanto es plis?
Answer:
=−2
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
if there are these () around a negative number then it makes it even.
Help!
Please show work
Answer:
131°
Step-by-step explanation:
to find the total degrees of this polygon, we use the equation
=> n - 2 × 180° (n= number of sides)
5 - 2 × 180° = 540°
now by using angle sum property,
540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°
540° = 409° + [tex]x[/tex]°
[tex]x[/tex]° = 540° - 409°
[tex]x[/tex]° = 131°
determine whether the ratios are equivalent. 4 7 and 8 11
Answer:
answer is the ratios are not equivalent or not in proportion
Step-by-step explanation:
you can find it by crops multiplication
4/7
8/11
4*11
8*7
44=56
Therefore it is not in proportion
Answer: 4 : 7 = 8 : 14
8 : 11 = 16 : 22
Step-by-step explanation:
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
The two triangles shown can be proven congruent through ...
AAS
ASA
SAS
SSS
Answer:
Step-by-step explanation:
SAS
Answer:
AAS
Step-by-step explanation:
Which expression gives the measure of Z RST in the diagram below?
T
u
S
38
V
162
R
A. 162° + 38°
B. 162° -38°
c. Ż(162° - 38°)
O D. (162° + 38°)
Answer:
Your answer should be C. 1/2(162 - 38)
Step-by-step explanation:
Three charges are located at the vertices of a triangle, as shown. An isosceles triangle lying on its side. The two charges at the corners of the base of the isosceles triangle are labeled +5 C and +10 C. The top of the triangle is labeled +4 C with 4 vectors from it. The one east is labeled Y, the one west is labeled W, the one northeast is labeled X and the one southeast is labeled Z. Which vector best represents the net force acting on the +4 C charge in the diagram? W X Y Z
Answer:
y
Step-by-step explanation:
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
3 cm, 4 cm, 5 cm
4 cm, 10 cm, 14 cm
5 cm, 11 cm, 15 cm
06 cm, 6 cm, 13 cm
7 cm, 4 cm, 12 cm
8 cm, 10 cm, 17 cm
image down below plz help
Answer:
12 boys and 18 girls
Step-by-step explanation:
the ratio from boys to girls is 2 to 3
12/2=6
18/3=6
both equal 6 meaning that both are proportional meaning that A is the correct answer
Answer:
a.
Step-by-step explanation:
12 and 18 is equal to 2/3
Model With Mathematics A photographer is
placing photos in a mat for a gallery show.
Each mat she uses is x in, wide on each side.
The total area of each photo and mat is
shown
Answer:
a. The possible dimensions of the total area are;
The width of the total area is (2·x + 8) inches
The length of the total area is (2·x + 10) inches
b. The dimensions of the photos are as follows;
The length of the photos are 10 inches
The width of the photos are 8 inches
Step-by-step explanation:
a. Given that the area, A = 4·x² + 36·x + 80
We get;
A = 4 × (x² + 9·x + 20) = 4 × (x + 4) × (x + 5) = (2·x + 8)·(2·x + 10)
Therefore, the possible dimensions of the total area (photo + mat) are;
The width of the total area (photo + mat) = (2·x + 8) in.
The length of the total area (photo + mat) = (2·x + 10) in.
b. The dimensions of the photos alone are shorter than the dimensions of the photo and mat combined by 2·x each
Therefore, we have the dimensions of the photos are as follows;
The length of the photo = (2·x + 10) in. - 2·x in. = 10 in.
The width of the photos = (2·x + 8) in. - 2·x in. = 8 in.
Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the ending balance in the account at the end of the 4 years (assuming no new deposits or withdrawals)? SHOW THE WORK PLEASE
9514 1404 393
Answer:
$1,322.05
Step-by-step explanation:
The compound interest formula is appropriate.
A = P(1 +r/n)^(nt) . . . principal P earning annual rate r for t years, compounded n times per year
You have P=1000, r=.07, n=12, t=4, so the balance is ...
A = $1000(1+.07/12)^(12·4) ≈ $1000(1.322054)
A = $1,322.05
Jennifer's ending balance is $1,322.05.
Betsy has $4.25 and her brother has $16.00 they want to buy two water guns that cost $12.99 each and a bag of water balloons that cost $4.79. Do they have enough money if so how much money will they have left over. If not how much more money will they need?
Answer:
No they don't have enough money, they need $10.52
Step-by-step explanation:
So first, you will add 4.25+ 16.00 = $20.25 < This is the amount they have.
Second, they want two water guns so 12.99 x 2 = 25.98 < This is the price for the water guns.
Then, add the price of the water ballons to the guns which is $30.77 < This is the cost for everything they want to buy.
Subtract $30.77 from $20.25 to recieve the answer of $10.52
Hope this helps!
Give the most descriptive name for
Answer:
trapezium................
Abertura formada por dos
semi-rectas con un mismo
origen llamado vértice.
3 and 4 guys! Please help! I suck at this
Answer
# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)
Step-by-step explanation:
Hope that helped :)
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
Which of the following is a solution to the equation y=-1/4x+8 and please explain the steps.
A. (10, -8) C. (-4, 9) B. (4, 8 )D. (-8, -10)
find the value of x please help
using angle sum property
we get
110+35+(x+12)=180
(x+12)=180-145
(x+12)= 35
x= 35-12
x= 23
Answer:
Angles in a triangle are sum up to 180 degrees.
35 + 110 + (x+12)=180
145+x+12=180
157+x=180
x=180-157
x=23 degrees