Answer:
1. 2x+7=2x+2 (would eventually get 7=2 which isn't true
2. like terms would be -3a and 10a, 9c and -7c, and 4 is by itself----coefficents would be the number before a varible so -3, 9, -7, and 10------finally the constants would be the numbers by itself so 4
(if you simplify this equation it would be 7a + 2c + 4 since you're combining like terms)
Step-by-step explanation:
1. An equation with no solution means that after simplification you determine it isn't possible this would be things like 2=7 or 1=3 which just aren't true so since they aren't a real equation they are labeled as "no solution" (P.S. if you don't know what infinetly many solutions is eithier it's basically when you have an equation that results in an answer like 0=0 or 5=5 where we know that it is true but I't doesnt give a real value for any of the variables so their are infinite possibilities for the variables value)
2. Like terms - terms that share a common variable (or lack therof) so if you had two numbers with the variable "a" after them you could combine them and the same applies with whole numbers so you could add -5 and 7 together
Coefficeints - basically just the variable in an equation so a value like "x" or "a" that comes after a number
Constants - Any number not followed by a varible so any whole number really for example in 4x+3=5 the 3 and 5 would be considered constants as they are real numbers
Sarah biked 13 miles south from her house to the library. Then she turned and biked 10 miles
east to the grocery store. Finally, she returned home using a straight path. What was the total
distance she traveled?
Answer:
16.40
Step-by-step explanation:
use Pythagorean theorem
When an equation in one variable is solved using a system of equations, the solution is always the
of each intersection.
Answer:
When an equation in one variable is solved using a system of equations, the solution is always the x-coordinate of each intersection.
Step-by-step explanation:
Answer:
1st part: X Coordinate
2nd part: A and C
Step-by-step explanation:
Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area?
Answer:
Top left triangle has the greatest area
Step-by-step explanation:
Area of a triangle:
area = base × height / 2
a = bh/2
Top Left Triangle:
a = 6 × 5.2 / 2
a = 31.2 / 2
a = 15.6
Top Right Triangle:
a = 8 × 2.9 / 2
a = 23.2 / 2
a = 11.6
Bottom Left Triangle:
a = 2 × 7.9 / 2
a = 15.8 / 2
a = 7.9
Compare areas:
15.6 > 11.6 > 7.9
A clairinet case is shaped like a rectangular prisim the case is 8 inches tall 3 inches wide and has a volume of 312 cubic inches what is the lenght of the clairnet case
Answer:
13 inches
Step-by-step explanation:
A clarinet case is shaped like a rectangular prism the case is 8 inches tall 3 inches wide and has a volume of 312 cubic inches what is the length of the clarinet case
The volume of a rectangular prism = Length × Width × Height
Length of the rectangular prism = Volume/ Width × Height
= 312 in³/ 3 in × 8 in
= 312 in³/24 in²
= 13 in
Length = 13 inches
Find the x and y value of this triangle using the Pythagorean Theorem.
Someone please help giving branliest away to the first answer
Answer:
cos60⁰=3/y
y×cos60⁰=3
y=3/cos60⁰
y=3/0.5
y=6
y²=x²+3²
6²=x²+3²
36=x²+9
x²=36-9
x²=27
x=square root of 27
x=5.19
what is 80% of 25 help me
Which of the following equations has infinitely many real solutions?
A. 2(x - 7) = 2x + 14
B. 2(x - 7) = 2x – 14
C. 2x + 1 = 2x - 1
D. 2x + 1 = x - 1
Answer:
B - 2(x -7) = 2x - 14
Step-by-step explanation:
If you expand this equation, you get 2x-14 = 2x-14. This means that the equation will be true for any x, and has infinitely many solutions
Hopefully this helps! Let me know if you have any questions
Mrs. Williams has 7 gallon of juice left in a bottle. She pours an equal amount of
juice into 5 glasses to empty the bottle. Which model represents the fractional
amount of the gallon of juice in each glass?
20
LLLL
Answer:
1/20 of a gallon
Step-by-step explanation:
If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons.
A geometric sequence is given by the recursive rule $a_1=\frac{2}{3},\ a_n=3a_{n-1}$ . Give an explicit rule for the nth term of the sequence $b_1,\ b_2,\ b_3,\ \dots\ ,$ given that $b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots$ .
Answer:
[tex]b_n = \frac{2}{27} (9^n)[/tex]
Step-by-step explanation:
Given
[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]
Required
An explicit rule for [tex]b_1,\ b_2,\ b_3,\ \dots[/tex]
Where [tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]
We have:
[tex]a_1=\frac{2}{3},\ a_n=3a_{n-1}.[/tex]
Calculate a2
[tex]a_2 = 3a_{2-1}[/tex]
[tex]a_2 = 3a_1[/tex]
[tex]a_2 = 3 * \frac{2}{3}[/tex]
[tex]a_2 = 2[/tex]
Calculate a3
[tex]a_3 = 3a_{3-1}[/tex]
[tex]a_3 = 3a_2[/tex]
[tex]a_3 = 3 *2[/tex]
[tex]a_3 = 6[/tex]
Calculate a4
[tex]a_4 = 3a_{4-1}[/tex]
[tex]a_4 = 3a_3[/tex]
[tex]a_4 = 3*6[/tex]
[tex]a_4 = 18[/tex]
Calculate a5
[tex]a_5 = 3a_{5-1}[/tex]
[tex]a_5 = 3a_4[/tex]
[tex]a_5 = 3*18[/tex]
[tex]a_5 = 54[/tex]
So:
[tex]b_1=a_1,\ b_2=a_3,\ b_3=a_5,\ \dots[/tex]
[tex]a_1=\frac{2}{3}[/tex] [tex]a_3 = 6[/tex] [tex]a_5 = 54[/tex]
The above sequence form a geometric sequence.
Calculate common ratio (r)
[tex]r = \frac{b_3}{b_2}[/tex]
[tex]r = \frac{a_5}{a_3}[/tex]
[tex]r = \frac{54}{6}[/tex]
[tex]r = 9[/tex]
So, the explicit formula is:
[tex]b_n = b_1 * r^{n-1[/tex]
[tex]b_1=a_1[/tex], so:
[tex]b_n = a_1 * r^{n-1[/tex]
[tex]a_1=\frac{2}{3}[/tex], so:
[tex]b_n = \frac{2}{3} * 9^{n-1[/tex]
Split:
[tex]b_n = \frac{2}{3} * \frac{9^n}{9}[/tex]
[tex]b_n = \frac{2}{3*9} (9^n)[/tex]
[tex]b_n = \frac{2}{27} (9^n)[/tex]
The explicit rule is: [tex]b_n = \frac{2}{27} (9^n)[/tex]
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help i only need number 3
very urgent need help asap
help pls, fast to, thx
Answer:
∠b = 64°
Step-by-step explanation:
We know that a complete rotation is 360°, so:
∠b + 57° + 239° = 360°
∠b = 360° - 57° - 239°
∠b = 64°
What is X-4<5 Helpppp I dont understand
Answer:
x<9
Step-by-step explanation:
isolate the x by adding 4 on both sides. then add 4+5 to get 9.
i hope this helps :)
See image for question.
Please show workings and diagrams.
Answer:
a) 16.4 m, 101°b) 6.22 m, 51 m²Step-by-step explanation:
Find the measure of angle Q:
50° + (180° - 130°) = 100°a) Find PR using the law of cosines:
PR = √(8² + 13² - 28*13*cos 100°) = 16.4 m (rounded)Find ∠P using law of sines:
16.4/sin 100° = 13/ sin Pm∠P = arcsin (13 sin 100° / 16.4) = 51° (rounded)The bearing of R from P is:
50° + 51° = 101°b)
Find the measure of h, the distance from Q to PR:
h/ PQ = sin Ph = PQ sin Ph = 8 sin 51° = 6.22 mFind the area of ΔPQR:
A = 1/2PR*hA = 1/2(16.4)(6.22) = 51 m²Joaquin walked exactly 3 _ 4 of a mile. According to the line plot, what is the difference between the distance Joaquin walked and the least distance any of the other students walked to school?
Answer:
The difference is [tex]\frac{3}{8}[/tex] mile
Step-by-step explanation:
The question is incomplete, as the line plot is not attached.
I will answer this question with the attached line plot.
From the question:
[tex]Joaquin = \frac{3}{4}[/tex]
From the attached line plot:
[tex]Least = \frac{3}{8}[/tex]
The difference (D) is:
[tex]D = Joaquin - Least[/tex]
[tex]D = \frac{3}{4} - \frac{3}{8}[/tex]
Take LCM
[tex]D = \frac{6 - 3}{8}[/tex]
[tex]D = \frac{3}{8}[/tex]
Hence: The difference is [tex]\frac{3}{8}[/tex] mile
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 70(0.96)
Answer:
it is a decay, it's value drops by 4%
Step-by-step explanation:
0.96 is less than 1 so it is a decay function.
1-0.96 = 0.04 so it drops at the rate of 4%
Dr. McCoy, a veterinarian, noticed that she only had about 12 ounces of cat treats left. So, she bought a new 3-pound jar. If she uses about 6 ounces of cat treats every week, in how many weeks will she run out?
The table and the graph below each show a different relationship between the same two variables, x and y:
How much more would the value of y be on the graph than its value in the table when x = 12?
150
300
450
600
y=360
Step-by-step explanation:
y goes up by 30 everytime and would start at 30 if X =1, so X x 30= y. 12 x 30= 360=y
Answer:
300 or B
Step-by-step explanation: give the other person brainliest
Can someone help me with this one problem!!!!
Answer: No
Step-by-step explanation: No because y is not the same as x.
Franco earns $8 per hour at his after-school job. Last week, he received a paycheck of more than $168. If he worked for h hours that week, find all the inequalities that represent this situation.
a.) 8 x h > 168
b.) 8 > 22 x h
c.) 8 x h < 168
d.) h > 21
e.) h < 21
Answer: A and D
Step-by-step explanation:
if he earns $8 an hour and he got $168 and h= the hours then
h=8 x 21 = 168
Answer:
The other person is correct.
Step-by-step explanation:
How can you tell if a pattern is quadratic or linear?
Answer: By finding the differences between the y-values, we can determine the degree of the model for the data.
If the first difference is the same value, the model will be linear.
If the second difference is the same value, the model will be quadratic.
Step-by-step explanation:
I don't really understand this
45% of c is 72. Find the value of c.. PLEASE IT IS DUE IN 5 MINUTES
Answer:
160
Step-by-step explanation:
72x100/45. Hope this helps
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 5% antifreeze?
Answer:
95% of a gallon of water, .95, or 19/20 as a fraction
Step-by-step explanation:
will mark brainliest if correct
Answer:
2
Step-by-step explanation:
2 is non-linear because it is not a straight line
hii pls help i’ll give brainliest
Answer:
Disagree, Disagree, Agree
Step-by-step explanation:
Hope this helps! BTW I am in 6th grade doing 8th grade math so trust me if u want.
Find the value of x .
Answer:
98
Step-by-step explanation:
x+30+52=180
x+82=180
x=180-82
x=98
Carl Lock took out a simple interest loan at 12.75% interest for 12 months. His previous balance is $942.36.
What is his final payment if the loan is paid off with the next payment?
Answer:I believe it is $955.11
Step-by-step explanation:
Divide the interest by 12 (number of months) which comes to about $1.07 (rounded) multiply that by 12 which give you with how much the total interest is, add it by the total and boom
Plz help !! 7th grade math !
Please help. I will give brainliest to correct answer.
Answer:
The area of a square with side length of 2 inches is 4 square inches.
The area of a circle with radius 1.2 inches is:
[tex]\pi \times (1.2) ^{2} \\ = 3.14 \times 1.44 \\ = 4.5216 \: square \: inches[/tex]
That is approximately 4.5 square inches.
Hence, the area of the square (4) is less than {<} that of the circle (4.5)!
Factorise this pleasee
x2+ 11x+ 18
Answer:
[tex](x +9)(x+2)[/tex]
Step-by-step explanation:
Given the problem,
[tex]x^2 + 11x + 18[/tex]
Factor the problem. Find factors of (18) such that when added the result is (11).
[tex](x +9)(x+2)[/tex]
Test by distributing, multiply each term in one parenthesis by every term in the other parenthesis,
[tex](x+9)(x+2)\\\\x^2 + 2x + 9x + 18\\\\x^2 + 11x + 18[/tex]
Answer:
(x+9)(x+2) is your answer
Step-by-step explanation:
x2+ 11x+ 18
x²+9x+2x+18
x(x+9)+2(x+9)
(x+9)(x+2)