Answer:
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6
A recursive rule allows a term to be found by adding d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 with a₁ = - 17
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3
Given:
Kevin bought twelve 8-ounce bottles of water.
1 ounce ≈ 30 ml
To find:
The quantity of water in milliliters
Solution:
We have,
1 ounce ≈ 30 ml
8 ounce ≈ 8×30 ml
8 ounce ≈ 240 ml
It means, one 8 ounce bottle can hold about 240 milliliters of water.
Total number of bottles = 12
So, the quantity of water Kevin buy in milliliters is
[tex]12\times 240=2880[/tex]
Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.
I need an answer ASAP -
Martha is spending the afternoon at the bowling alley with friends. She rents shoes for $5 and must pay $4 per hour to participate. Represent this situation with a linear equation.
Answers-
a. y=5x+4
b. y- 4x+5
c. y= 4x
d. y=5x
Answer:
y=4x+5
Step-by-step explanation:
x= the number of hours
y= total number of money
4x means each hour = 4 dollars
5 = the rent of the shoes
Therefore, y = 4x + 5
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
Help please, question attached
Answer:
C. x = 8
Step-by-step explanation:
We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.
Let's multiply 6 x 6 x 6.
36 x 6 = 216.
Let's multiply 8 x 8 x 8.
64 x 8 = 512
The answer would be C. x = 8.
I hope that this helps! :)
Answer:
8
Step-by-step explanation:
x³ = 512
x³ = 8³
Cube root on both sides,
x = 8
HELP PLEASE!! I NEED TO GET THIS TURNED IN
Answer:
the 10.5
Step-by-step explanation:
it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three
Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)
Answer:
4(2a+5)
Step-by-step explanation:
4 times 2a= 8a
4 times 5= 20
y+2=−3(x−4)= whats the missing equation
pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?
What number would go in the blank? 4 x 6 = 6 x ___
6
4
10
Answer:
4
Step-by-step explanation:
4 x 6 = 6 x 4
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
The ___ is the set of outputs for a function.
Answer:
Range
The set of output values is called the range of the function.
NO JOKING AROUND OR I WILL REPORT WHO EVER DOES
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12
Answer:
Its 66 i just did a 50 question quiz and got it right
Step-by-step explanation:
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answer:
Option (6). HL
Step-by-step explanation:
Given:
From the right triangles ΔBAC and ΔBDC,
AC ≅ CD
∠A = ∠D = 90°
To Prove:
ΔBAC ≅ ΔBDC
Statements Reasons
1). AC ≅ DC 1). Given
2). BC ≅ BC 2). Reflexive property
3). ΔABC ≅ ΔBDC 3). By HL property of congruence of right triangles
Therefore, Option (6) HL will be the correct option.
What is this answer?
A ticket to see your favorite baseball team costs $43.76. That price decreases by $0.33 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses games. What is the price of a ticket after the team loses games?
Answer:
C=$0.33L-$43.76
I hope this is good enough:
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
what does each letter of pe = mgh mean?
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity and h is the height in meters.
Hope this helps
Answer:
physical education
Step-by-step explanation:
p: physical
E: education
express 1 as a percent
Answer:1 the answer would be 1%
Step-by-step explanation:
Answer:
1%
Step-by-step explanation:
divide 1 by 100 then get the answer
Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary
Answer:
6.4
Step-by-step explanation:
FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11
2. Divide both sides by 4 to get c - 3 = 2
3. Use the distributive property to get 4c - 3 = 8
4. Use the distributive property to get 4c - 3 = 8
5. Subtract 4 from both sides to get c - 3 = 4
Answer
2, i can't find any other solution
Step-by-step explanation:
you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x
To solve an equation 4(c - 3) = 8 the correct ways are
1. Use the distributive property to get 4c - 12 = 8
2. 2. Divide both sides by 4 to get c - 3 = 2
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
The two ways to start solving the equation 4(c - 3) = 8 are:
Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.
This method uses the distributive property to simplify the left-hand side of the equation before solving for c.
Divide both sides by 4, and we get,
4(c - 3)/4 = 8/4
c - 3 = 2
c = 5.
Therefore, the two ways are given above.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
Simplify the following expression. (19x + 4y) + (49x + 32y)
Answer: 68x + 36y
Step-by-step explanation:
Combine Like Terms:
= 19x + 4y + 49x + 32y
= (19x + 49x) + (4y + 32y)
= 68x + 36y
Hope this helped you!
Answer:
68x + 36y
Step-by-step explanation:
You can compeletely get rid of the parenthesis because it is addition through and thorough.
You have 19x + 4y + 49x + 32y
You can combine like terms to get
19x +49x which is 68x
and
4y + 32y which is 36y
You now have 68 + 36y which cannot be simplified anymore because the variables are different.
Hope this helps!
Which of the following does not show the Commutative Property of Addition or Multiplication?
a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3
Answer:
XY - 9 = XY
Step-by-step explanation:
You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps
Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport
3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports
How many students said they didn't like any sports
0 75
O 20
O 55
O 5
Answer:
5
Step-by-step explanation:
Add 1/5 + 3/4. Answer: 19/20 likes sports.
A bag of apples costs a dollars.
A bag of oranges costs 2 dollars more.
If Dorie bought 5 bags of apples and 5 bags of oranges, how much did Dorie pay in terms of a?
Mark all choices that are true.
A 5 (2a + 2)
B 10a + 10
c 10a + 2
D 5 (a + a + 2)
E 5a + 2a
Answer:The answer is A,B, and D
Step-by-step explanation:I just know lol
A triangle can have sides of 12, 19, and 30.
True or false
Answer:
True
Step-by-step explanation:
According to the Triangle Inequality, the sum of any two sides of a triangle has to be greater than the third side. 12+19 = 31 which is more than 30 so a triangle can have sides of 12, 19 and 30.
Answer:
false
Step-by-step explanation:
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
Stephanie's cable company charges $29.95 per month, plus $3.00 for each on-demand
movie rented. If Stephanie's cable bill last month was $44.95, how many on-demand
movies did she rent last month?
Pls help me plssssssss
Answer:
5
Step-by-step explanation:
44.95-29.95=15/3=5
ratios that are equivalent to 40:28
Answer:
10:7
Step-by-step explanation: