To match the numbers to the letters for the equivalents, we can simplify each expression:
3(4x + 2) = 12x + 6 (A)
(2x + 3) - (4x + 5) = 2x + 3 - 4x - 5 = -2x - 2 (B)
8x + 5 - x + 4 = 8x - x + 5 + 4 = 7x + 9 (C)
7(3x - 2) = 21x - 14 (D)
Matching the numbers to the letters for the equivalents:
Expression 1 is equivalent to option A.
Expression 2 is equivalent to option B.
Expression 3 is equivalent to option C.
Expression 4 is equivalent to option D.
What is the eighth term in the arithmetic sequence defined by the explicit formula an=2n+7?
Enter your answer in the box.
Answer:
The 8th term is 23
Step-by-step explanation:
If you are given a formula for the sequence,
an = 2n+7
then substitute n=8 to find the 8th term.
a8 = 2(8) +7
a8 = 16+7
a8 = 23
Answer:
a8 = 23
Step-by-step explanation:
1. What are the end points of the triangle called? How are they labeled?
2. Two triangles are congruent if:
a) each pair of corresponding sides is congruent
b) two pairs of corresponding angles are congruent and a pair of corresponding sides
are congruent
c) two pairs of corresponding sides and the angles included between them are
congruent
d) If three sides of one triangle are congruent to three sides of a second triangle,
e) If two angles and a non-included sides of each triangle are congruent
The endpoints of a triangle are called vertices and triangles are labeled by their vertices, e.g., triangle ABC. Conditions for congruent triangles include having congruent sides (SSS), congruent sides and included angle (SAS), and congruent angles with either the included or non-included side (ASA or AAS).
Endpoints of a Triangle and Conditions for Congruent Triangles
The endpoints of a triangle are called the vertices, and they are typically labeled with capital letters such as A, B, and C. When referring to a triangle by its vertices, it is commonly denoted as triangle ABC.
Two triangles are congruent if:
Each pair of corresponding sides is congruent (SSS Congruence)
The conditions (a), (c), (d), and (e) from the student's options are correct descriptions of congruent triangles according to congruence theorems and postulates such as the Second Theorem of Congruence, ASA, SAS, and AAS Congruence. However, option (b) could potentially create ambiguity since it mentions two pairs of corresponding angles and a pair of corresponding sides, but does not specify the included side which is necessary for congruence based on ASA or AAS Congruence.
Andrew has 9.39 but he needs 15.00 to make a purchase how much more does he need.
Answer:
5.61
Step-by-step explanation:
just subtract 9.39 from 15.00
A scientist builds a Mars rover that can travel 4.9 centimeters per second on flat ground. If the rover continues at the same rate, how many centimeters will it travel in 15 1/2 seconds?
Answer:
The rover would travel 75.95 centimeters in 15 1/2 seconds.
Step-by-step explanation:
Simply multiply 4.9 by 15 1/2.
Hope it helps!
Answer:
75.95 cm
Step-by-step explanation:
We know that distance = rate times time
d =rt
We know the rate = 4.9 cm/s
and time = 15 1/2 s = 15.5 s
Substituting these into d=rt
d = (4.9 cm/s) * 15.5 s = 75.95 cm
In a shipment if 1,000 bulbs 1/40 of bulbs were defective.How many bulbs were Not defective
Answer:
975 bulbs
Step-by-step explanation:
1/40 bulbs were defective
That means 1-1/40 were not defective
40/40 - 1/40 = 39/40 were not defective
We have 1000 bulbs
Multiply the number of bulbs by the fraction that is not defective to get the number of bulbs that should not be defective.
1000 * 39/40 = 975 bulbs
please help and explain thanks
Answer: Woops I meant 2 cannot be repeated because x-values cannot be the same. So it is C.
A function CAN have the same y-values such as (3,4) and (6,4). But a function CANNOT have the same x-values like (7,10) and (7,1) because it would be a straight line.
Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other.The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?
Answer:
D from A = 34 miles
Step-by-step explanation:
We know the total distance is 200 miles (this would be when they meet)
The rate for cyclist A is 17
The rate for cyclist B is 83
We know the time is equal
Distance = rate * time
Distance for A = 17t
Distance for B = 83 t
The total distance = distance for A + distance for B
200 = 17t + 83t
Combine like terms
200 = 100t
Divide each side by t
200/100 = 100t/100
They will meet at t =2 hours
I know you say we need the distance
Distance for A
D = 17*t
We now know t
D = 17*2
D = 34 miles
Answer:
Step-by-step explanation:
cyclist going 17 mph n motorcyclist going 83 mph opposite way
so their net closing speed=17+83=100mph
A n B 200 mi apart
so they will meet in 200/100=2hrs
at dat time, cyclist will be 2x17=34mi from pt A
Each individual letter of the word "Washinton" is placed on a paper,and all 10 pieces of paper are placed in a hat. if one letter is selected at random from the hat,find the probability that the letter "k" is selected.
how do i solve y=2x+5 y=3x-1 with substitutions dont know how to do this
Answer:There is an app that helps you with this stuff.
Step-by-step explanation:
What’s the actual distance = yards?
The legend says 1 inch = 30 yards.
Multiply the total inches by 30 yards:
4 inches x 30 yards = 120 total yards.
Answer:
1 inch = 30 yards
If you’re trying to figure out how many yards is 4 inches, you multiply 30 by 4. Your answer should be 120 yards
what are the factors of 5
Answer:
5 & 1
Step-by-step explanation:
Factors are numbers that, when multiplied, will give the number that is given in the question. In this case:
5 * 1 = 5
5 & 1 are factors
~
Answer:
5= 1,5 so easy question
problem 1: two numbers add together equals 47. their difference is 13. write and solve a system to find the two numbers
problem 2: the sum of two numbers is 54 and their difference is 12. write and solve a system to find the two numbers
Answer:
34+13= 47
Step-by-step explanation:
47-34=13
Coach Miller bought 5.15 pounds of ground beef to make burgers. The cost of ground beef is $3.40 for each pound. What was the total cost for all the ground beef?
Answer:
$17.51
Step-by-step explanation:
3.40(1) = 3.40 - the (1) represents how many pounds you are buying.
3.40 (5.15) = 17.51
Write the equation of a line with the slope of 2, which contains the point (4,-8).
Answer:
y = 2x-16
Step-by-step explanation:
To find a line when we know the slope and a point, we can use the point slope formula for a line
y-y1 = m(x-x1)
where the point is (x1,y1) and the slope is m. Substituting the known information in.
y--8 = 2 (x-4)
y+8 = 2(x-4)
We can manipulate this into slope intercept form by distributing the 2
y+8 = 2x-8
and subtracting 8 from each side
y+8-8 = 2x-8-8
y = 2x-16
95% of 7-year-old children are between_________inches and________ inches tall.
Answer: The answer is 46.5 inches to 49.5 inches.
Step-by-step explanation: We are to tell the height limits of a 7-year old child.
Various scientific experiment shows that the height of maximum 7-year old girl child lies between 46.5 inches and 49.4 inches and the height of maximum 7-year old boy child lies between 46.6 inches and 49.5 inches.
So, combining the height limits of girls and boys, we can say that the height limit of 95% 7-year old child lies between 46.5 inches and 49.5 inches.
Thus, the answer is 46.5 inches and 49.5 inches.
Answer:
45 and 53 are the answer
Step-by-step explanation:
answered on edu
what is the simplified version of 4b-7-3b+9
Answer: b+2
Step-by-step explanation:
4b-7-3b+9
b+2
Simplifying:
3b + -9 + -8b = 11
Reorder the terms:
-9 + 3b + -8b = 11
Combine like terms: 3b + -8b = -5b
-9 + -5b = 11
Solving
-9 + -5b = 11
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + -5b = 11 + 9
Combine like terms: -9 + 9 = 0
0 + -5b = 11 + 9
-5b = 11 + 9
Combine like terms: 11 + 9 = 20
-5b = 20
Divide each side by '-5'.
b = -4
Simplifying
Answer: b = -4
Dawn is packing cookies she puts 5 cookies in each package if she has 7,414 cookies how many packages can she make
Answer:
Dawn can make 1482 packages
Step-by-step explanation:
for each package Dawn need 5 cookies so for 7414 cookies she can make
7414 ÷ 5 = 1482.8
so she can make 1482 packages.
Which value in the replacement set is a solution to this equation? 2n + 5 = 27 Replacement set: {11, 12, 13} Drag the solution into the box.
Help asap will mark as Brainliest thx!!!!!!!!!!!
The answer should be
x= -9
Answer:
x = -9
Step-by-step explanation:
1/3 (x+3) = 2/3x + 4
1/3x + 1 = 2/3x + 4
subtract 1/3x from both sides
1 = 2/3x - 1/3x +4
1 = 1/3x + 4
subtract 4 from both sides
1 -4 = 1/3x
-3 = 1/3x
multilply by 3 (to cancel out the 1/3)
-9 = x
x = -9
YaY!!!! u got it!!! =)
WILL MARK BRAINLIEST! PLEASE HELP!
The formula for converting Celsius temperatures to Fahrenheit temperatures is a linear equation. Water freezes at 0 °C, or 32 °F, and it boils at 100 °C, or 212 °F. Find the slope and y-intercept for a graph that gives degrees Celsius on the horizontal axis and degrees Fahrenheit on the vertical axis. Then write an equation in slope-intercept form that converts degrees Celsius into degrees Fahrenheit.
The equation for converting a Celsius temperature into a Fahrenheit one is given by the linear equation F = 1.8C + 32. The slope of this equation is 1.8 and the y-intercept is 32.
Explanation:
The subject of this question is Mathematics, specifically the study of linear equations. To find the slope and the y-intercept of the equation that transforms a Celsius temperature into a Fahrenheit one, we can use the two points you provided: (0, 32) and (100, 212). The slope can be calculated as follow: (212 - 32) ÷ (100 - 0) = 180 ÷ 100 = 1.8. The y-intercept is the Fahrenheit temperature when the Celsius temperature is zero, so it's 32. Therefore, the equation you are looking for in slope-intercept form is: F = 1.8C + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius.
Learn more about Linear Equations here:https://brainly.com/question/32634451
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based on the sample results about what proportion of the population would you expect to prefer merchant D on iready lesson
Answer:
About 0.12
Step-by-step explanation:
There are 3 people who prefer merchant D out of n = 25 total
Divide: 3/25 = 0.12
Optionally, you can multiply both top and bottom of 3/25 by the value 4 and it leads to 3/25 = 12/100 = 12% = 0.12
You got 3 problems on a 25 question yest what was the percent of the questions you got right?
If you got 3 questions wrong, then you got 25-3 = 22 right. So that would be 22/25 = 0.88 = 88% questions correct
------------------------------
If you got 3 questions right out of 25, then 3/25 = 0.12 = 12% is the score you get. Note how 88% + 12% = 100%
The bank charged Travis a $20 fee because his balance dropped below $0. He knows that he currently had an outstanding charge for $7.85 that he had not recorded yet. How much money will Travis have to deposit into his account so that the outstanding charge does not create another bank fee
Final answer:
Travis must deposit $27.85 to cover the $7.85 outstanding charge and the previous $20 overdraft fee, to avoid further overdraft fees and bring his account balance back to at least $0.
Explanation:
Travis needs to not only cover the outstanding charge to avoid further overdraft fees but also bring his account balance back to at least $0. If Travis currently has an outstanding charge of $7.85, and overdraft fees are typically $35 or higher, it's clear that merely covering the charge won't be enough; he must also compensate for any negative balance incurred from previous overdraft fees.
Assuming the $20 fee has already been applied to his account and his balance is now at -$20 (not considering any other transactions that have taken place), Travis would need to deposit enough money to cover both the fee and the outstanding charge. Therefore, he would need to deposit a total of $20 (to bring his balance to $0) plus the $7.85 outstanding charge, which sums up to $27.85. By depositing this amount, Travis would avoid a second overdraft fee and any additional monetary penalties.
It is worth noting that financial literacy is essential to manage personal finances effectively and avoid potential overdraft situations which could lead to a cycle of fees and negative balances.
what is the recursive formula for this geometric sequence? 4, -12, 36, -108, ...
Answer:
aₙ = 4(-1)ⁿ⁻¹(3)ⁿ⁻¹
Step-by-step explanation:
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
We can get the value for r by dividing aₙ by aₙ₋₁.
a₄/a₃ = -108/36
a₄/a₃ = -3
r = -3
aₙ = 4(-3)ⁿ⁻¹
aₙ = 4(-1)ⁿ⁻¹(3)ⁿ⁻¹
The (-1)ⁿ⁻¹ term makes even-numbered terms negative.
Answer:
answer is attached
Step-by-step explanation:
if the ratio of 7 less than a number and 7 more than the number 2, what is the number?
Answer:
Step-by-step explanation:
I assume you mean "if the ratio of 7 less than a number and 7 more than the number is 2".
Let x be the number.
Ratio is division.
(x-7)/(x+7)=2
Multiply by (x+7) on each side:
x-7=2(x+7) = 2x+14
Add 7 on each side
x=2x+21
Subtract 2
-x=21
x=-21
help I only got till 5:00
Answer:
II think it is A
Step-by-step explanation:
Its doing a measurement which equals the same thing.
Hope that helps feel free to ask more questions
Brainliest??
i need help hurry plz? what the meaning of y and x intercept in the problem and tell me the answer of the last question
Answer:
For the first picture, the y-intercept is the height the pebble was dropped from. The x-intercept is the amount of seconds it took for the pebble to hit the ground.
For the second picture, the y-intercept is the height of the soccer ball (ground level). The x-intercept is the amount of seconds it took for the soccer ball to hit the ground.
What is 42% of 120ml?
Answer:
50.4
Step-by-step explanation:
what is the equation 19−6(−k−2)?
Answer:
6k+31
Step-by-step explanation:
19-6( -k -2)
= 19 +6k+12
=6k+31
A juicer holds 43 3/4 pints of juice. How many 2 1/2 pint bottles can be filled with that much juice?
ANSWER AS A FRACTION