Answer:
Step-by-step explanation:
t5 = a + (5-1)d
t5 = a + 4d
40 = a + 4d
t3 = a + 2*d
t7 = a + 2d + 28 = a + 6d
Start with the seventh term which has 2 equal answers
a + 2d + 28 = a + 6d Subtract a from both sides
2d + 28 = 6d Subtract 2d from both sides
28 = 4d Divide by 4
28/4 = d
d = 7
==================
t5 = a + 4d = 40
a + 4*7 = 40
a = 40 - 28
a = 12
===================
First term is 12
10th term is
t10 = 12 + (10 - 1)*7
t10 = 12 + 9*7
t10 = 75
Interesting question. Thanks for posting
The cost of a new math textbook and a study guide together is $58. Three of the math textbooks and two study guides cost $165. How much does one textbook alone cost?
Answer:
Cost of one textbook = $49
Step-by-step explanation:
Given:
Cost of 1 textbook and 1 study guide = $58
Cost of 3 textbook and 2 study guide = $165
Find:
Cost of one textbook
Computation:
Assume,
Cost of one textbook = a
Cost of one study guide = b
So,
a + b = 58
b = 58 - a
3a + 2b = 165
3a + 2(58-a) = 165
3a - 2a + 116 = 165
a = 49
Cost of one textbook = $49
x to the tenth power divided by x to the seventh power
Answer:
[tex]x^3[/tex]
Step-by-step explanation:
Division for exponents with the same base is just subtracting the exponents.
10 - 7 = 3
You'll get x to the third power because 10 minus 7 is 3.
The cafeteria at Local Middle School offers a choice of either a sandwich or soup every Thursday.
Of 55 students who purchased lunch this Thursday, 30 chose a sandwich.
What is the ratio of the number of students who chose a sandwich to all those who purchased lunch this Thursday?
Step-by-step explanation:
55-30 = 25
25 out of 55 chose the soup.
Hope that helps
Answer:
30:55
Step-by-step explanation:
30 out of the 55 students that bought lunch, bought sandwiches. So, 30 sandwiches to 55 students. It's a trick question that gives you all the information in the question itself, so it's fairly simple. I hope I'm right tho lol
Hanna is plotting a point in coordinate space. She starts at the origin and moves backward eight units along the x-axis. Then she moves right one unit parallel to the y-axis. Finally, she moves down five units parallel to the z-axis and plots the point. What are the coordinates of the point that she plots?
Answer:
( -8,0, 0) , ( -8, 1, 0) and ( -8, 1, -5)
Step-by-step explanation:
We need to visualize the given situation in 3D
Coordinates is in the form of (x, y, z)
Henna starts from origin moves back 8 units Negative x-axis
x = -8 point will be ( -8,0, 0)
turning 1 unit right will be parallel to the y axis in positive y-axis direction
y = 1 point will be ( -8, 1, 0)
Moving down by 5 units, Negative z-axis
Z = -5 point will be ( -8, 1, -5)
Answer:
(-8,1,-5)
Step-by-step explanation:
Dont make it complicated, a whole paragraph for one answer is not needed
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later,
there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
13
1
13
5
39
5
39
Answer:
1/13
Step-by-step explanation:
Ice cream
starting = 2/3 full
After Jenna's shift = 1/6 of the tub
Total Time = 6.5hours
Amount of ice cream consumed = [tex]\frac{2}{3} - \frac{1}{6}[/tex]
= [tex]\frac{1}{2}[/tex] = 0.5
Rate per hour = amount of ice cream consumed -=/ total time
= 0.5/6.5 = 1/13 ice cream consumed per hour
original price of a pen:$1.50
tax:4%
Answer:
$1.56
Step-by-step explanation:
1.50 times 0.04 is 0.06
1.50+0.06
$1.56
Answer:
ANswer is $2.10.
Step-by-step explanation:
The tax is $.60 and you add that to $1.50.
write 50 cm as a fraction of 2 m
give your answers in its simplest form
Answer:
25c
Step-by-step explanation:
solve the equation:
p-19/6= -15/6
The slash is the fraction bar jsyn :)) pls help
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]p - \frac{19}{6} = - \frac{15}{6} \\ [/tex]
Add sides 19 / 6
[tex]p - \frac{19}{6} + \frac{19}{6} = - \frac{15}{6} + \frac{19}{6} \\ [/tex]
[tex]p = \frac{19 - 15}{6} \\ [/tex]
[tex]p = \frac{4}{6} \\ [/tex]
[tex]p = \frac{2 \times 2}{2 \times 3} \\ [/tex]
[tex]p = \frac{2}{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Write the equation of the line represented by the table below. Thank you anyone for helping!
Answer:
A. y = -3x + 5
Step-by-step explanation:
Use any two points to find slope, let's use (-2, 11) and (4, -7):
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-7 - 11) / (4 - (-2))
= -18 / 6
m = -3
Use above slope and any one point to find y-intercept, let's use (10, -25):
y = mx + b
-25 = -3(10) + b
-25 = -30 + b
b = 5
Use m and b above to form equation of line:
y = mx + b
y = -3x + 5
please help:( i’m not sure....
Answer:
B. 2 ÷ 11
I hope this helps!
what is the meaning of divisor
Answer:
Were a number is divided by another.
Answer:
look it up but I learned this. A divisor - I forgot but here, the Web told me:
divisor
[dəˈvīzər]
NOUN
mathematics
a number by which another number is to be divided.
a number that divides into another without a remainder.
"the greatest common divisor"
HOPE I HELPED!
Solve using the box method!
5.3 x 3.5 =
Help me look at the picture
Answer:
it's B
Step-by-step explanation:
lol how do you not know this
Answer:
B
Step-by-step explanation:
Hi. I need help with these questions.
See image for question.
Answer:
(a) P(1) = 3
(b) P(-2) = 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
P(x) = x³ + 4x² - 3x + 1
P(1) is x = 1
P(-2) is x = -2
Step 2: Evaluate
P(1)
Substitute: P(1) = 1³ + 4(1)² - 3(1) + 1Exponents: P(1) = 1 + 4(1) - 3(1) + 1Multiply: P(1) = 1 + 4 - 3 + 1Add: P(1) = 5 - 3 + 1Subtract: P(1) = 2 + 1Add: P(1) = 3P(-2)
Substitute: P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1Exponents: P(-2) = -8 + 4(4) - 3(-2) + 1Multiply: P(-2) = -8 + 16 + 6 + 1Add: P(-2) = 8 + 6 + 1Add: P(-2) = 14 + 1Add: P(-2) = 15Answer:
a) 3b) 15Step-by-step explanation:
GivenP(x) = x³ + 4x² - 3x + 1Finda) P( 1 ), b) P( - 2)SolutionSubstitute the value of x:
a) P(x) = x³ + 4x² - 3x + 1
P(1) = 1³ + 4(1)² - 3(1) + 1 = 1 + 4 - 3 + 1 = 3P(1) = 3b) P(x) = x³ + 4x² - 3x + 1
P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1 = -8 + 16 + 6 + 1 = 15P(-2) = 15Which of the following correctly demonstrates a verb tense shift? a. Kurtis is moving to a new city to start the job he was hired for. b. Kurtis moved to a new city and is started the new job he was hired for. c. Kurtis moved to a new city to starting the job he was hired for. d. Kurtis will be moving to a new city to started the job he was hired for. D is wrong
Answer: a. Kurtis is moving to a new city to start the job he was hired for.
Step-by-step explanation: "is moving" is present progressive tense.
"was hired" is passive past tense.
"to start" is an infinitive.
These are correct verb forms.
b is almost correct. Kurtis "moved" is OK in the past tense. *is started* should be "has started"
c is partly correct. *to starting* is ungrammatical here.
d is wrong because *to started* is always ungrammatical.
what are the solutions to the quadratic equation 6x^2 + 24X = 0?
Answer: {0, -4}
Step-by-step explanation: Notice that the two terms on the left side
of the equation have a greatest common factor of 6x.
So start by factoring out a 6x to get 6x(x + 4) = 0.
So either 6x = 0 or x + 4 = 0.
Eventually we find that x = 0 or x = -4.
So our solution set is {0, -4}.
hiii, if you do questions 7 and 8, ill mark brainly :) <3
Answer:
7) nth term a₁₈ is 160
8) nth term a₃₆ is 128
Step-by-step explanation:
7) Find nth term of each arithmetic sequence
[tex]a_1=7, d=9, n=18[/tex]
The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]
Putting values and finding nth term n=18
[tex]a_n=a_1+(n-1)d\\a_{18}=7+(18-1)9\\a_{18}=7+(17)9\\a_{18}=7+153\\a_{18}=160[/tex]
So, nth term n₁₈ is 160
8) Find nth term of each arithmetic sequence
[tex]a_1=-12, d=4, n=36[/tex]
The formula used to find nth term is: [tex]a_n=a_1+(n-1)d[/tex]
Putting values and finding nth term n=36
[tex]a_n=a_1+(n-1)d\\a_{36}=-12+(36-1)4\\a_{36}=-12+(35)4\\a_{36}=-12+140\\a_{36}=128[/tex]
So, nth term n₃₆ is 128
Fatima has a car detailing service. She charges $15.00 for a vacuum,
$40.00 for exterior wash and wax, and $60.00 for complete interior clean
including shampooing all upholstery. last week she had a busy week. She
had 7 vacuum jobs, 23 exterior wash and wax jobs, and 15 complete
interior cleans jobs. How much did she make all together for vacuuming
jobs?
A.15
B. 105
C. 50
D. 85
Answer:
1
Step-by-step explanation:
Answer is B
B. 105
Hope this helps
A twelve pack of Orange Crush is priced at $3.00. What is the unit rate or the price per soda?
Divide price by quantity:
3.00 / 12 = $0.25 per can.
Why might you solve this system of equations by adding or subtracting? Explain fully.
2x + 3y = 4
2x - 3y = 8
A recipe for cooking turkey states to cook the turkey 15 minutes per pound. Add an additional 5 minutes per pound if the Turkey is stuffed. Our turkey is 16 pounds and will be stuffed. We plan to eat at 1:00 PM. Allow 30 minutes for cooling and carving. What time does the turkey have to be put in the oven?
Answer:
The turkey has to be put in the oven at 7:10 AM.
Step-by-step explanation:
We have:
Turkey stuffed with 16 pounds
Since the time of cooking is 15 minutes per pound with an addition of 5 minutes per pound when the turkey is stuffed, hence we have:
[tex]T = 16 pounds*15 \frac{min}{pound} + 5 \frac{min}{pound}*16 pounds = 320 min = 5 h + 20 min[/tex]
Therefore, the total time of cooking is 320 minutes or 5 hours plus 20 minutes.
If they plan to eat at 1:00 PM with 30 minutes for cooling and carving, then:
[tex]t_{o} = 13 h - 5.33 h - \frac{1}{2} h = 7 h + 10 min[/tex]
Hence, the turkey has to be put in the oven at 7:10 AM.
I hope it helps you!
1. What is the solution of the system of equations shown below?
y = 3x + 7
y = x-9
Answer:
x= -8
y= -17
Step-by-step explanation:
Answer:
If you trying to find x and y is the answer is:
x=-8 and y=-17
or
(-8,-17)
Step-by-step explanation:
First you need to subtract the two equations which becomes 2x+16=0
Now you move the 16 to the other side by subtracting 16 on both sides:
2x=-16
Now divide 2 on both sides to eliminate the 2 on 2x
x=-8
Now that you got -8 as x you can replace x on the two equations any one of them you only need to get one but I am going to use both of them to show you that it is the same:
y= 3(-8)+7
y=-17
y=-8-9
y=-17
Hope this helps!
PLEASE HELP ME IM DESPERATE!
Answer:
Slope = 3
Step-by-step explanation: If Wyatt is at (0,0), and the kite is at (24,72), then you use the slope formula:
(72-0) / (24-0)
72/24
3
Solve for the unknown side.? Added photo.
12). *
A radio transmission tower is 150 feet tall. How long should a guy wire be if it is to be attached 5 feet from
the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.
a.159.6 ft
c. 154.3 ft
b. 424.0 ft
d. 438.6 ft
Option b is correct, the length of the guy wire should be 424.0 feet.
Let us denote the length of the guy wire as "x."
We can form a right triangle using the height of the tower, the distance from the top to where the guy wire is attached (5 feet), and the length of the guy wire (x).
In the right triangle, the sine of the angle is defined as the ratio of the opposite side (height of the tower - 5 feet) to the hypotenuse (length of the guy wire).
sin(20°) = (height of the tower - 5 feet) / x
To find x, we can rearrange the equation as follows:
x = (height of the tower - 5 feet) / sin(20°)
Substituting the given values:
x = (150 feet - 5 feet) / sin(20°)
x = 145 feet / 0.3420
x = 424.2 feet
Hence, the length of the guy wire should be approximately 424.0 feet.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ6
if anyone could please help me solve this i’d really appreciate it
Answer:
D. 26
Step-by-step explanation:
evaluate the fraction first
6+9
---
7-2
15
----
5
3
10 times 3 - 2 to the power of 2 which is 4
30-4 is 26
Lincoin Glass as a Christmas party for is employees each year. The
cost of food for the party comes to $24.95 a person. How much does
toositor 2175 employees?
Answer:
54266.25
Step-by-step explanation:
Seth grew 12 flowers with 2 seed packets. How many seed packets does Seth need to have a total of 18 flowers in his garden? Solve using unit rates. plzz help me
solve this fast
3.5(2.25 + x) = 14
Answer:
Step-by-step explanation:
3.5(2.25+x)=14
x=1.75
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1.75
What is the solution to this equation? x/-5=15
Answer:
x=75
Step-by-step explanation:
Answer:
x=-75
Step-by-step explanation:
Hope this helps.