A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
BRAINLIEST, PLEASE!
Step-by-step explanation:
8x + 2 = 2(21)
8x + 2 = 42
8x = 40
x = 5
In the expression, the value of number is 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We can to given that;
The algebraic expression is,
''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''
Now,
Let a number = x
Hence, We can formulate;
⇒ x × 8 + 2 = 2 × 21
⇒ 8x + 2 = 42
Subtract 2 both side,
⇒ 8x + 2 - 2 = 42 - 2
⇒ 8x = 40
Divide by 8;
⇒ x = 5
Thus, The value of number = 5
Learn more about the mathematical expression visit:
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Find the area of the semicircle.
Hi! I'm happy to help!
To solve for the area of a semi-circle, we just need to find the area of a circle, and divide it by 2.
The equation for area of a circle is A=[tex]\pi[/tex]r²
It says we can use 3.14 for pi, so we can write our equation like this:
A=3.14(r²)
Since we are dealing with half of a circle, we can write this as:
A=[tex]\frac{1}{2}[/tex](3.14(r²))
Our radius is a straight line going from the edge of the circle to the center. We have the diameter, which is just the radius doubled (because it goes from the edge to the center point then back to the edge). So, we divide our diameter by 2 to get our radius.
14÷2=7
Our radius is 7, so we can plug that into our equation:
A=[tex]\frac{1}{2}[/tex](3.14(7²))
Now all we have to do, is solve:
A=[tex]\frac{1}{2}[/tex](3.14(49))
A=[tex]\frac{1}{2}[/tex](153.86)
A=76.93
So, our area is 76.93 units².
I hope this was helpful, keep learning! :D
Solve the inequality for x and identify the graph of its solution.
|x+1|>2
Choose the answer that gives both the correct solution and the correct graph.
Answer:
D
Step-by-step explanation:
|x+1|>2
-2>x+1>2
-3>x>1
Option D is correct that is the solution of the inequality |x+1|>2 is x<-3 or x<1.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
What is a solution of an inequality?Solution of an inequality is a value that makes the inequality true.
According to the given question
We have an inequality |x + 1|>2.
The solution set of the above inequality is given by
[tex]|x + 1| > 2[/tex]
⇒ [tex]-2 > x+1 > 2[/tex]
⇒ [tex]-2-1 > x > 2-1[/tex]
⇒ [tex]-3 > x > 1[/tex]
⇒ [tex]x < -3[/tex] or [tex]x < 1[/tex]
Hence, option D is correct that is the solution of the inequality |x+1|>2 is x<-3 or x<1.
Learn more about inequality here:
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if (a°+10°)and (a°+20°)are supplementry angles ,find them
Step-by-step explanation:
a°+10°+a°+20°=180
becasue sum of angle of suplimentary angles is 180.
2a+30=180
2a=180-30
2a=150
a=75
Find the decimal number which is exactly halfway between 8.7 and 9.0
1,772,198 rounded to the nearest ten thousand is ?
1,772,198 rounded to the nearest hundred thousand is ?
Answer:
malai thaxaina
Help!!!
In addition to fuel and maintenance, Rachel pays
$1,000 a year for insurance. The equation
C = (0.05 + 0.14) + 1,000 x shows the cost C, in
dollars, of owning and operating the car for a year as
a function of x, the number of miles driven in a year.
What does the slope of the graph of this function
represent?
Answer:
a function of x, the number of miles driven in a year.
Step-by-step explanation:
The slope of the line represents the cost of the maintenance and the cost of the fuel. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
In addition to fuel and maintenance, Rachel pays $1,000 a year for insurance. The equation will be
C = (0.05 + 0.14)x + 1000
C = 0.19x + 1000
Then the slope of the line will be
Slope = 0.19
The slope of the line represents the cost of the maintenance and the cost of the fuel.
More about the linear system link is given below.
https://brainly.com/question/20379472
Add the Following Fractions:
\large \frac{3}{8}+\frac{2}{8}=?
a. 5/16
Selected:b. 5/8This answer is correct.
c. 6/8
d. 1/8
Hi ;-)
[tex] \frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8} [/tex]
Answer:
[tex] \frac{3}{8} + \frac{2}{8} \\ denomentor \: is \: equal \: so \: we \: can \: add \: it \: \\ \: then \frac{3 + 2}{8} \\ = \frac{5}{8} \\ thank \: you[/tex]
A rectangle has a length of 2 6√
and width of 6√
. Find the perimeter of the rectangle.
[tex]\\ \rm\Rrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(2\sqrt{6}+\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(3\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=6\sqrt{6}[/tex]
The perimeter of the rectangle will be 6√6 units.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,
Perimeter of the rectangle = 2(L + W) units
A rectangle has a length of 2√6 and a width of √6. Then the perimeter of the rectangle is given as,
P = 2 (2√6 + √6)
Simplify the equation, then we have
P = 2 (2√6 + √6)
P = 2 (3√6)
P = 6√6 units
The perimeter of the rectangle will be 6√6 units.
More about the perimeter of the rectangle link is given below.
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CAN U PLEAS HELP ME SIMPLIFY THIS AND PLEASE EXPLAIN YOUR REASONING THOROUGHLY BEHIND THIS
[tex]\sqrt{8}+\sqrt{50}[/tex]
Answer:
7√2Step-by-step explanation:
Given:
√8 + √50We can see that:
8 = 4*2 = 2²*2 and50 = 25*2 = 5²*2Since 2² and 5² are perfect squares we get:
√8 + √50 = 2√2 + 5√2 =(2 + 5)√2 = 7√2[tex]\\ \sf\longmapsto \sqrt{8}+\sqrt{50}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}[/tex]
[tex]\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto (2+5)\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto 7\sqrt{2}[/tex]
Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32
Answer:
t = d/r; t = 5
Step-by-step explanation:
Hi there!
1) Isolate t
d = rt
Divide both sides by r
d/r = rt/r
d/r = t
t = d/r
2) Solve for t when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
I hope this helps!
what is the mid point of (27,3) and (18,-1)
Answer:
(22.5 , 1)
Step-by-step explanation:
Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]
[tex]\frac{27+18}{2}[/tex]=22.5
3+-1=2
2/2=1
So, midpoint is (22.5 , 1)
You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.
Which set of ordered pairs does not represent a function?
{(7, -5), (-5, -2), (8, –9), (-9,0)}
{(-3,0), (0, -5), (6,-2), (1, -2)}
{(6, -6), (-9,2), (6, -1), (-8, -9)}
{(7,3), (2, –6), (5, –7), (0, – 7)}
Answer:
{(6, -6), (-9,2), (6, -1), (-8, -9)}
Simplify -4+8-2 and 8-(-3)-5
Answer:
-2 and 6
Step-by-step explanation:
[tex] - 4 + 8 - 2[/tex]
[tex] - 6 + 8[/tex]
[tex] = - 2[/tex]
○●○●○●○●○●○●○●○●○●○●○●○●○●○
[tex]8 - ( - 3) - 5[/tex]
[tex]8 + 3 - 5[/tex]
[tex] = 6[/tex]
Tickets to the county fair cost $12 for each adult and$7 for each child write and evaluate an expression to find the cost for 3 adults and 6 children
Problem: A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on, until there are 200 logs in the bottom row.
Answer:
100 rows
Step-by-step explanation:
Find the perimeter and area of the figure below
Which of the
following numbers
falls between 8 and 9
on the number line
square root of 75 or square root of 100?
Answer: [tex]\sqrt{75}[/tex]
================================================
Explanation:
Square both 8 and 9 to get
8^2 = 8*8 = 649^2 = 9*9 = 81Since 75 is between 64 and 81, this means [tex]\sqrt{75}[/tex] is between 8 and 9
Put another way, we can say this:
[tex]64 < 75 < 81\\\\\sqrt{64} < \sqrt{75} < \sqrt{81}\\\\\sqrt{8^2} < \sqrt{75} < \sqrt{9^2}\\\\8 < \sqrt{75} < 9\\\\[/tex]
Or we could use a calculator to find that:
[tex]\sqrt{75} \approx 8.66[/tex] [tex]\sqrt{100} = 10[/tex]Which is another way to see why [tex]\sqrt{75}[/tex] is between 8 and 9.
I need help as soon as possible pleaseeeeeee!!!!!!!
What is the slope of the line?
Answer:
-5/9
Step-by-step explanation:
The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things
Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work
Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.
If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.
[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} [/tex]
Someone
pls help will mark brainliest!!!
Answer:
f(t)=-16t^2+8t+2
Step-by-step explanation:
You take f(t)=-16t^2, and for vt look at the initial velocity which was 8 and for s look at the height which was 2
There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.
Answer:
5/10
Step-by-step explanation:
for every girl picked a boy is also picked. There are 10 kids so it's a 50% chance it happens
Answer:
50%
Step-by-step explanation:
5/10
*simplify*
1/2
*divide 1 by 2*
0.5
*multiply by 100, or move the decimal twice*
0.5 ---> 5. ---> 50.
50. = 50
so your answer is 50%.
If 4(x-3)=16, what does 8x equal
Answer:
Step-by-step explanation:
4(x-3) =16
4x- 12=16
4x=28
8x=56
Answer:
8x = 56
Step-by-step explanation:
Solve for x by isolating it.
Divide both sides by 4
(x-3) = 4
Add 3 to both sides
x = 7
Now plug 7 in for x
8(7) = 56
Simplify the expression.
3 (2 + 9) + 15 simplified is
Answer: (9)/(15)
Step-by-step explanation:
(4yz)-3(x)
Y=4, z=2, x=-3
Answer:
=288
Step-by-step explanation:
(4yz)-3(x)
(4(4)(2))-3(-3)
(4x8)x9
32x9
288
pelase asnwer da question
Answer:
D
Step-by-step explanation:
I think its D because you multiple the number that is out of the the bracket with the numerators..
so its
a^4/b^12
Which angles represent alternate interior angles?
Question 21 options:
G and H
A and D
B and H
C and F
Answer:
A and D
Step-by-step explanation:
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
Kelly bought a cup of coffee and drank 58 of it.
Write an addition equation to represent how much coffee is remaining.
Enter your answer as an addition equation, formatted like this: 42+(-53)=-11
Answer:
r+58=c
(r= remaining, c= total coffee)
Step-by-step explanation:
What are the opposite rays
Answer:
ab and ed are opposite rays
Step-by-step explanation:
PLEASE MARK AS BRAINLIRST
Answer:
A pair of opposite rays are two rays that have the 'same endpoint and extend in opposite directions. So, together a pair of opposite rays always forms a straight line
what is an acid or a base
an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .
A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .
hope this helps you
mrk me braniliest plz
Answer:
a acid is a substance that can donate protons . or accepts the balance protons to form a bond .
a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .