Answer:
n=7
Step-by-step explanation:
71=10n+1
We move all terms to the left:
71-(10n+1)=0
We get rid of parentheses
-10n-1+71=0
We add all the numbers together, and all the variables
-10n+70=0
We move all terms containing n to the left, all other terms to the right
-10n=-70
n=-70/-10
n=7
Hope it helps
Answer:
The equation simplifies to n = 7.
Step-by-step explanation:
Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.
To do this, we're going to notice we have two like terms in the equation:
711These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.
Left side → 1 termRight side → 2 termsWe are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.
We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.
71 - 1 = 70This leaves us with a more simplified equation: 70 = 10n.
To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.
Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.
In addition to that, what we do on one side of the equation must be done on the other side of the equation.
[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]
This simplifies to n = 7, which is our final answer.
I seem to be getting my questions wrong or be going on the wrong trail. Can someone help me decode this?
Answer:
A=4
B=3
C=2
D=1
Step-by-step explanation:
write the equation (3,5) in standard form
Answer:
We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.
Step-by-step explanation:
can you please help me with my question
A shelf for bowling balls can support 100 pounds. If a red bowling ball weighs 6 pounds and a blue bowling ball weighs 10 pounds, can the shelf support 4 red bowling balls and 6 blue bowling balls? Write the total weight of the bowling balls.
Answer:
yes
84
Step-by-step explanation:
Answer:
yes, 84 pounds
Step-by-step explanation:
4 red balls would be 24 pounds
6 blue would be 60 pounds
Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. When the slopes of lines a and b are multiplied, the product is −1. Line a and line b intersect to form four right angles. The slopes of lines a and b are equal. The slopes of lines a and b are opposites
Answer:
When the slopes of lines a and b are multiplied, the product is −1.
Line a and line b intersect to form four right angles.
Step-by-step explanation:
Given
Perpendicular lines a and b
Required
Select the true statements
Represent the slope of line a with [tex]m_1[/tex] and the slope of b with [tex]m_2[/tex].
The condition for perpendicularity is:
[tex]m_1 * m_2 = -1[/tex]
Solving further:
[tex]m_1 = -\frac{1}{m_2}[/tex]
To solve further, we need to analyze each of the given options
(a) This is not true because the slope of perpendicular lines are not reciprocal
(b) This is also not true because perpendicular lines do not necessarily have to intersect at their midpoints
(c) This is true because of the condition stated above: [tex]m_1 * m_2 = -1[/tex]
(d) This is also true because perpendicular lines form right angles when they intersect
(e) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
(f) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
The product of the slope of the perpendicular lines is negative of one. Then the correct options are B and C.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Lines a and b are perpendicular.
Then the product of the slope of the perpendicular lines is negative of one. That is given as
[tex]\rm m_1*m_2 = -1[/tex]
a. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. This is false.
b. When the slopes of lines a and b are multiplied, the product is −1. This is true.
c. Line a and line b intersect to form four right angles. This is true.
d. The slopes of lines a and b are equal. This is false.
e. The slopes of lines a and b are opposites. This is false.
More about the linear system link is given below.
https://brainly.com/question/20379472
Brand XYZ dog food costs $36 for 15 pounds of dog food . What is the cost per pound?
Answer:
$2.40
Step-by-step explanation:
36÷15=2.4
since we are talking about money you add a zero.
Hope this helps
Cost of the dog food per pound is $2.4
What is cost?Cost is the value of money that has been used up to produce something or deliver a service
Cost of 15 pound of dog food = $36
Cost of 1 pound of dog food = [tex]\frac{36}{15}[/tex]= $2.4
Hence, the cost of 1 pound of dog food is $2.4
Learn more about cost here
https://brainly.com/question/13910351
#SPJ2
Square root of -24 to the nearest integer
PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST
Answer:
The answer is 45
Step-by-step explanation:
First, you find what is half of 30 by dividing 30 by 2
30/2 = 15
Then you add 15 to 30 since you have to increase it by 1/2
30 + 15 = 45
I hope this helped and have a great day!
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
Which of the following is used to inscribe a square in a circle?
A. Copy the chord that runs through the center of the circle.
B. Construct a perpendicular bisector of the diameter of the circle.
C. Use the radius length to find four vertices inscribed on the circle.
D. Construct a right angle using the radius of the circle and a tangent line.
Answer:
The option which is used to inscribe a square in a circle is option B
B. Construct a perpendicular bisector of the diameter of the circle
Step-by-step explanation:
The steps required to inscribe a square in a circle are;
1) Draw the circle using a compass
2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y
3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B
The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle
Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.
HELPPPPPPP ASAP BRAINLIEST FOR CORRECT ANSWER
Answer:
12
Step-by-step explanation:
12*6.5=78
44-12=32
32*4=128
128+78=206
Help!
This is for Patterns, Functions, and Algebra!
you didn't ask the question
I need this the answer to 2/7 × 5/6
Answer:
5/21
Step-by-step explanation:
i mutiplyed
ESCRIBE LA EXPRESION ALGEBRAICA : Paul tenía S/ e. Compró un libro y recibió S/ 3 de vuelto. ¿Cuánto costó el libro en términos de e? *
Answer:
p(e)=e-3
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:
p(e)=e-3, donde
p es el precio del libro
e es la cantidad que Paul tenía al inicio
5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?
Answer:
8 ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]
[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]
r = 4
d = 8 ft.
A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is formed by the prism and a plane that intersects the prism as shown. Find the area of the cross section.
Tina is making a frame for a picture she drew. The length of the picture is 11 1/9 inches, and the width of the picture is 7 1/4 inches. How much longer is the picture than it is wide? (Need ASAP please!)
Answer:
3 31/36 inches
Step-by-step explanation:
11 1/9 = 100/9
7 1/4 = 29/4
100/9 = 400/36
29/4 = 261/36
400/36 - 261/36 = 139/36
139/36 = 3 31/36
a school has 36 fish swamps 4/6 of them's are boys how much are girls
Answer:
12 fish are girls
Step-by-step explanation:
multiply 4/6 by 6 which would be 24/36. Then substract 24 from 36 and you get 12.
Answer:
12 are girls
Step-by-step explanation:
Reason that since 4/6 of them are boys then that means 2/6 are girls
then convert 2/6 to decimal form which is 0.3333....
then multiply that by 36 which gives us 12
you could also go the roundabout way and convert 4/6 to decimal form and take that value and multiply it by 36 which gives us 24 then subtract 24 from 36 which still gives us 12
hope this makes sense
have a great day luvs <3
Lanna's dad was teaching her about the stock market. He has 100 shares of Company A stock
valued at $45 a share and 250 shares of Company B stock valued at $22 a share. How much is
his stock worth?
Answer: $10,000
Step-by-step explanation:
Lanna's dad stock worth will be the value of the total shares in both company A and company B.
Value of stock in company A = 100 × $45 = $4500
Value of stock in company B = 250 × $22 = $5500
Total stock worth = $4500 + $5500 = $10,000
Find the first four terms of the sequence given by the following.
an= 9(2)^-1,
n=1, 2, 3...
Answer:
See this attachment...
Step-by-step explanation:
Your answer dear
hope it's helpful to you
I need help please, I will give brainliest to the first person that answers
Answer:
it is C
Step-by-step explanation:
Sari ran for class president. Each student in her class voted one timer Sari won 25% of the student votes
If Sari received 60 votes, how many students voted altogether?
Answer: 240 students
Step-by-step explanation:
25%=60
25*4=100
60*4=240
100%=240
Answer:
240 votes
Step-by-step explanation:
25% - 60 votes
100% - x
x = (100×60)÷25 = 240 (votes)
this quiz is due in a hour I'll up the points to 25
Answer:
The sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]
Step-by-step explanation:
From the given right angled triangle diagram, sin A is calculated as follows;
[tex]sin \ A = \frac{Opp}{hypo} \\\\sin \ A = \frac{2\sqrt{6} }{8} \\\\sin \ A = \frac{\sqrt{6} }{4}[/tex]
Therefore, the sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]
You randomly chose a marble from a har. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Which is the probability of choosing a blue marble?
A. 10/27
B. 2/5
C. 1/5
D.8/25
The circumference of a circle is 9 cm. What is the diameter?
Answer: [tex]\frac{9}{\pi } \\or\\2.86[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]9=\pi d\\\frac{9}{\pi } =d\\[/tex]
Solve for X and round to the nearest tenth
Answer:
x= 15.4
Step-by-step explanation:
tanx = opp/adj
tan52° = x/12
x= tan52° * 12
x= 15.359
round -> 15.4
Write and evaluate the expression. Then, complete the statements. nine more than the product of seven and a number, decreased by three The expression to model the situation is . The value of the expression when n = 8 is .
Answer:
9 + 7n - 3 ;
61 ;
Step-by-step explanation:
Let the number = n
9 + 7*n - 3
Hence, the expression is :
`9 + 7n - 3
If the number,n = 8
The value of the expression becomes :
9 + 7(8) - 3
8 + 56 - 3
= 61
Answer:
nine more than the product of seven and a number, decreased by three
The expression to model the situation is
✔ 9 + 7n – 3
.
The value of the expression when n = 8 is
✔ 62
.
Step-by-step explanation:
on edge
Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.
Answer:
(9, 57/7)
Step-by-step explanation:
Given the coordinates A(5 , 5) and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;
P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
Substitute the given values
X = 5(5)+2(19)/5+2
X = 25+38/7
X = 63/7
X = 9
Similarly;
Y = 5(5)+2(16)/5+2
Y = 25+32/7
Y = 57/7
Hence the coordinate of point P is (9, 57/7)
Draw the polygon with the given in a coordinate plane (0,4) ( 10,8) ( 7,4) ( 10,2 ) ( 5,0)
Answer:
Step-by-step explanation:
Answ
Naäamlaa. in faDlik. shukran. äafwan. aläafw. arjuu almaädhirasabaaH alkhayr.
Can you guys help me please ASAP!!!
Answer:
C
Step-by-step explanation:
2^0+4=5
2^3 +4=12
2^7+4=132
Find the value of the lettered angles in these diagram
Answer:
1. m = 65°
x = 30°
2. x = 40°
Step-by-step explanation:
1. Since the figure is an isosceles triangle, m = 2x - 5
180 - 50 = 130 (Total degree for both m and 2x - 5)
130 ÷ 2 = 65 (m and 2x - 5 angle degrees)
65 - 5 = 60 (2x)
2 x = 60°
x = 60 ÷ 2 = 30°
2. I forgot the parallel rule for question 2, but I think X and 40° is parallel to each other?