Step-by-step explanation:
Y=
[tex]y = 10 - 8x \\ put \: this \: in \: the \: second \: equation \\ 2(10 - 8x) - 4x = 40 \\ 20 - 16x - 4x = 40 \\ 20 - 20x = 40 \\ - 20 = 20x \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: th \: first \: equation \\ y = 10 - 8( - 1) \\ y = 10 + 8 \\ y = 18[/tex]
Hence, x=-1 and y=18
Answer:
(- 1, 18 )
Step-by-step explanation:
Given the equations
y + 8x = 10 ( subtract 8x from both sides )
y = 10 - 8x → (1)
2y - 4x = 40 → (2)
Substitute y = 10 - 8x into (2)
2(10 - 8x) - 4x = 40 ← distribute and simplify left side
20 - 16x - 4x = 40
20 - 20x = 40 ( subtract 20 from both sides )
- 20x = 20 ( divide both sides by - 20 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = 10 - 8(- 1) = 10 + 8 = 18
solution is (- 1, 18 )
An arc subtends an angle of 72 degrees at the centre of the circle find the length of the arc of the radius of the circle is 3.5cm take pie as 22 on 7
Answer:
4.4 cm
Step-by-step explanation:
Arc length = 2*pi*r*(central angle) / 360
Arc length = 2*(22/7)*3.5*(72/360)=4.4 cm
Usha had a balance of -$84. She worked for 6 days and put half the money in the bank. Now she has a balance of -$45. How much does Usha get paid each day for newspaper delivery?
Answer:
$13
Step-by-step explanation:
First, find how much she put into the bank:
84 - 45 = $39
Then, multiply this by 2 to find how much she made, because this was half of the money she got:
39(2) = 78
Then, divide this by 6 to find how much she makes a day:
78/6 = 13
= $13
___________probabilities
are always the same given
the same total number of
trials.
A. Calculated
B. Experimental
C. Determined
D. Theoretical
Answer:
Determined
Step-by-step explanation:
Determined
I need some help plsssssssssssss
Answer:
See below.
Step-by-step explanation:
p: Atlanta is the capital of Georgia.
q: There are 4 feet in a yard.
p is true; q is false
11. p V q:
Atlanta is the capital of Georgia, or there are 4 feet in a yard.
Truth value: true since one of the statements is true.
12. p ▲ q:
Atlanta is the capital of Georgia, and there are 4 feet in a yard.
Truth value: false since not both statements are true.
13. p ▲ ~q:
Atlanta is the capital of Georgia, and there are not 4 feet in a yard.
Truth value: true since both of the statements are true.
11. ~p V q:
Atlanta is not the capital of Georgia, or there are 4 feet in a yard.
Truth value: false since both statements are false.
Answer:
Step-by-step explanation:
What are the factors of the quadratic function represented by this graph?
A.
(x − 1) and (x − 5)
B.
(x + 1) and (x + 5)
C.
(x − 1) and (x + 5)
D.
(x + 1) and (x − 5)
The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]
Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.
So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
To know more about quadratic equation follow
https://brainly.com/question/1214333
#SPJ2
Answer:
Check Screenshot
Step-by-step explanation:
pls help with mathmatics
Answer:
answer is B . in order to make the triangles congruent the angle A and angle A'
Answer:
a and b
Step-by-step explanation:
HELP!!!Where does the graph of y = sin x from x = 0 to x = 2π start? A. at its minimum B. at an x–intercept C. at its maximum D. between an x–intercept and its maximum
Answer:
B. at an x–intercept
Step-by-step explanation:
You can find a graph of the sine function in numerous places.
y = sin(0) = 0
y = 0 for x = 0
so, on the given interval, it starts at an x-intercept.
24. Three minus four times a number is equal to ten times a number plus ten.
25. Four times the quantity of three times c plus 5 is equal to 8.
26. Six less than two thirds of a number is negative ten. Find the number.
27. Twenty-nine is thirteen added to four times a number. What is the number.
Answer:
(24) 3 - 4b = 10c + 10
(25) 4(3c+5) = 8
(26) - 6
(27) 4
Step-by-step explanation:
These questions require that words are translated into equations and then may be solved.
(24) Three minus four times a number is equal to ten times a number plus ten.
let the first number be b.
(a)Three minus four times a number ... can be represented as:
3 - (4 x b) = 3 - 4b
(b) ...ten times a number plus 10
let the other number be c. Therefore we have;
(10 x c) + 10 = 10c + 10
Now, three minus four times a number is equal to ten times a number plus ten means that expressions in (a) and (b) above are equal. i.e
3 - 4b = 10c + 10
(25) Four times the quantity of three times c plus 5 is equal to 8.
(a) four times the quantity of three times c plus 5 can be represented as
4 x (3 x c + 5) = 4(3c + 5)
(b) ... is equal to 8. This means that the expression in (a) is equal to 8.
4(3c + 5) = 8
(26) Six less than two thirds of a number is negative ten. Find the number.
(a) six less than can be represented as:
- 6
(b) two thirds of a number can be represented as
([tex]\frac{2}{3}[/tex])x [where x is the number]
(c) six less than two thirds of a number can thus be written as;
([tex]\frac{2}{3}[/tex])x - 6
(d) ... is negative 10 means that the expression is (c) above is equal to -10. i.e
([tex]\frac{2}{3}[/tex])x - 6 = -10
(e) Find the number.
The number can be found by solving for x in the expression in (d) above.
([tex]\frac{2}{3}[/tex])x - 6 = -10 [multiply through by 3]
2x - 18 = -30 [collect like terms]
2x = -30 + 18
2x = -12 [divide both sides by 2]
x = - 6
Therefore, the number is -6
(27) Twenty-nine is thirteen added to four times a number. What is the number.
(a) ... thirteen added to four times a number can be written as:
13 + 4b [where the number is b]
(b) Twenty-nine is thirteen added to four times a number means that the 29 is equal to the expression in (a) above. i.e
29 = 13 + 4b
(c) Find the number.
The number can be found by solving for b in the expression in (b) above. i.e
29 = 13 + 4b [collect like terms]
4b = 29 - 13
4b = 16 [divide both sides by 4]
b = 4
Therefore, the number is 4.
Which is the exponential form of log3 x= 11?
Answer:
[tex]x = 3^{11}[/tex]
Step-by-step explanation:
relation between logarithmic and exponential form is given by
[tex]\log_a x = y \\[/tex] is same as [tex]a^y = x[/tex] where a>0 and a is not equal to 1.
____________________________________________
[tex]\log_3 x = 11 \\\\x = 3^{11}[/tex]
Thus, exponential form is [tex]x = 3^{11}[/tex]
The sqrt(98) falls between what two numbers on a number line?
Answer:
9 and 10
Step-by-step explanation:
9²=81
10²=100
98 lies between 81 and 100
Bridgette bought 9 books about animals, 6 books about outer space, and 3 books about
trains. Each book cost $16. How much did Bridgette spend on the books?
Answer:
(9+6+3)×16=288
Step-by-step explanation:
add all the books and then multiple by the price of one book to get an answer
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The interquartile range is determined by the formula _____________.
A. Third quartile – First quartile
B. Third quartile + first quartile
C. First quartile – third quartile
D. Maximum – minimum
Answer:
A-Third quartile-First quartile
Step-by-step explanation:
The interquartile range is found by taking the third quartile minus the first quartile. It is also found by taking the right side of the box in a box and whisker plot and subtracting the left side of the box in a box and whisker plot
THIS HAS MULTIPLE QUESTIONS PLEASE ANSWER ASAP
Question 1 Solve the inequality. |d + 2| ≥ 6
Question 2 Solve the equation. If there is no solution, select no solution. 5|x+3/4|=10
Question 3 Solve the inequality. –2 < 4 x – 10 < 6
Answer:
Question 1: d ≥ 4 or d ≤ -8
Step-by-step explanation:
Question 1 Solve the inequality. |d + 2| ≥ 6
d + 2 ≥ 6 or d + 2 ≤ -6
d ≥ 4 or d ≤ -8
A rectangle has a length of 8ft and a width of 9ft. What is the area of the rectangle, in ft^2?
Answer:
72ft
Step-by-step explanation:
A=wl=9·8=72ft²
f(x) = x2. What is g(x)?
Answer:
g(x) = [tex](\frac{x}{3})^2[/tex] which is A.
Step-by-step explanation:
I did this before. You have to trust me.
Find the value of a.
a = 18°
Step-by-step explanation:we have opposite angles =>
=> 6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72 : 4
a = 18°
I need help on my math.
Write an
equivalent expression by distributing the
""
"sign outside the parentheses:
-(-9.1d - 6f +9.1)
Answer:
Submit Answer
Answer:
[tex] - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you[/tex]
Which expression has been simplified INCORRECTLY? * 1 point - (-9) = 9 - (+9) = -9 + (-9) = -9 + (+9) = -9
Answer:
+ (+9) = -9
Step-by-step explanation:
- (-9) = 9 A negative times a negative is a positive
- (+9) = -9 A negative times a positive is a negative
+ (-9) = -9 A positive times a negative is a negative
+ (+9) = -9 A positive time a positive is a positive
the the diameter of a circular Garden is 140 metre . On its outside there is a road of 7 metre wide find out the outer circumference of the road
Answer:
484 meters
Step-by-step explanation:
diameter of a circular Garden = 140 metre
we know diameter = 2*radius
140 = 2*radius
radius = 140/2 = 70 meter
thus, radius of garden is 70 meter
Given that
On its outside there is a road of 7 metre wide
Thus, radius of garden along-with road will increase by 7 meters
Total radius of garden and road = 70 meter + 7 meter = 77 meter
outer circumference of the road can be calculated using radius 77 meter.
we know that circumference = [tex]2\pi r[/tex]
we will use value of [tex]\pi = 22/7[/tex]
Thus, outer circumference of the road with radius 77 m
= [tex]2\pi r \\=>2*22/7 *77\\=> 44*11 = 484[/tex]
Thus,
The outer circumference of the road is 484 meters.
Evaluate the expression 5^3
Answer: Five to the power of three (5*5*5) is equal to 125.
Hope this helps!
Answer:
125
Step-by-step explanation:
[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]
20
2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Area of the crowd?
A. Area = 3 feet x 3 feet
B. Area = 8 yards v 1 mile = (8 x 3 feet) x (1 x 5280 feet)
C. Area = 24 feet x 1 feet.
D. Area = 8 feet x 5280 feet
.
Answer:
B
Step-by-step explanation:
8 yards = 3 * 8 = 24 ft^2
1 mile = 5280
3*3 = 9 square feet
9 square feet holds 9 people.
1 square foot holds 1 person
8*3 * 5280 people could stand in an area of 8 yards * 1 mile
Though it's not quite correct, the answer is B
What is the value of x?
Answer:
is it 15.8
Step-by-step explanation:
AB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A
Answer:
? = 4.73
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp / hyp
sin 25 = 2 / ?
? sin 25 = 2
? = 2 / sin 25
? =4.732403166
To the nearest hundredth
? = 4.73
A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs best represents the price, in dollars, of a certain number of copies of the magazine? (1 point) Select one: a. Y = 3x; (1, 3), (2, 6), (3, 9) b. Y = 4x; (1, 4), (2, 8), (3, 12) c. Y = 5x; (1, 5), (2, 10), (3, 15) d. Y = 6x; (1, 6), (2, 12), (3, 18) Plz answer quick!
Answer:
Option a. Y=3x
Step-by-step explanation:
Let us use cross multiplication method.
Let the cost of 1 magazine be x.
No. of copies Cost
1)50 $150
2)1 x
50x=150 x 1 equation(1)
x=150/50
x=$3
Now see equation (1),
150=50x
150=50 x 3
Here let us represent the cost as y and no. of copies as x.
Y=3x
Therefore, a. Y=3x is the right answer.
Thank you!
percent increase formula
A = old value
B = new value
C = percent change
C = [ (B-A)/A ] * 100%
---------------------
Example:
Lets say we start at A = 10 and increase to B = 15. The percent change would be...
C = [ (B-A)/A ] * 100%
C = [ (15 - 10)/10] * 100%
C = (5/10) * 100%
C = 0.5 * 100%
C = 50%
The positive C value means we have a percent increase. Going from 10 to 15 is a 50% increase.
Mark all the relative minimum points in the graph.
Please help I don't understand what to do.
Answer:
Step-by-step explanation:
The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).
find the value of x if the measure of angle 2 is 12x+4
Answer:
30
Step-by-step explanation:
From angle chasing, we know that the angle 2 is 180-56=124. So 12x+4=124, which means 12x=120 so x=30
find the following trigonometric values cos(240) and sin(240)
Answer:
cos(240) = -1/2
sin(240) = -√3/2
Please help me!! I'll give brainliest btw
Answer:
e. cannot be determined
Step-by-step explanation:
m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5
n = 1/2(x² + x + 10) =
m/n = (x+5)/(1/2(x² + x + 10))
Not enough information