Answers
Answer:
B
Step-by-step explanation:
speed = [tex]\frac{distance }{time}[/tex]
Then
speed = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{4}{5}[/tex]Leave the first fraction, change division to multiplication, turn the second fraction upside down.
speed = [tex]\frac{2}{9}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5(2)}{9(4)}[/tex] = [tex]\frac{10}{36}[/tex] = [tex]\frac{5}{18}[/tex] mile per hour → B
Related Questions
The 23 members of a track team are trying to raise at least $2226.00 to cover the traveling cost for a holiday tournament. If they have already raised $465.00, at least how much should each member still raise, on average, to meet the goal?
Answers
Find the value of x.
a. 22.5
b. 7
c. 9.28
d. 21.125
Answers
Answer:
7
Step-by-step explanation:
Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In this case:
(4x + 7) + (97) = (17x + 13)
4x + 104 = 17x + 13
4x + 91 = 17x
91 = 13x
7 = x
In a right triangle ABC angle B is the right angle and m angle C = 30 degrees if AC = 10 what is AB
Answers
Answer:
AB = 5Step-by-step explanation:
This is a 30°-60°-90° right triangle.
AC is hypotenuse, AB is opposite side to 30° angle.
We know that in such a triangle the side opposite to 30° angle is half the hypotenuse.
So we have:
AB = 1/2AC = 1/2(10) = 511. What is the value of y when 10y-5=20
Answers
Answer:
y = 2.5
Step-by-step explanation:
Given
10y - 5 = 20 ( add 5 to both sides )
10y = 25 ( divide both sides by 10 )
y = 2.5
Answer:
5/2
Step-by-step explanation:
The given equation to us is ,
[tex]\implies 10y -5 = 20 [/tex]
Add 5 both sides ,
[tex]\implies 10y -5 +5 = 20 +5 \\[/tex]
[tex]\implies 10y = 25[/tex]
Divide both sides by 10 ,
[tex]\implies 10y \div 10 = 25\div 10 \\[/tex]
[tex]\implies \boxed{ y = \dfrac{5}{2}}[/tex]
given the following diagram, find the required measure.
Answers
Answer:
m<6=90
Step-by-step explanation:
the answer is 90 or D
Answer:
90
Step-by-step explanation:
If 1 = 140, then 2 = 40. 180-140=40
If 2 = 40 and 3 = 50, then 6 = 90. 180 - 40 - 50 = 90
Linear angles = 180
Triangle Sum Theorem = Sum of all angles in a triangle = 180
Determine the domain and range of the function f(x) = 23/1082
O {x| all real numbers} {yly >0}
O {x} all real numbers}; {yl y 2 0}
O {x\ x >0}; {y| all real numbers}
O {x\ x 2 0}; {yl all real numbers}
Answers
Answer:
A
Step-by-step explanation:
The domain is all real numbers and the range is all real numbers greater than zero
The domain is {x| all real numbers} and the range is {y| y > 0}
How to find the domain of a function?
The domain of a function is the set of inputs that we can use in the function. To find it, we initially assume that it is the set of all real numbers, and then remove the problematic values of x.
For example, a problematic point would be a value of x that causes the denominator to be equal to zero.
In this particular case, we can see that the variable is in the exponent, thus it can take any real value and it will not cause any problem, so the domain is the set of all real numbers.
The range is the set of possible outputs. Because in this case, the base is a positive number, the outcomes will only be positive, then the range is given by:
y > 0.
So the correct option is A.
If you want to learn more about range and domain, you can read:
https://brainly.com/question/1770447
Marking brainliest
I’m getting a belly piercing soon and this guy asked this question but I’m not sure what he means? Someone help
Answers
Answer:
Say I want a
Step-by-step explanation:
Ask what do you mean
What is the equation of the line written in general form? I need the answer ASAP
Answers
Answer:
The answer is 3x-y-2=0
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-1}{2-1}[/tex] = 3
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = 3x - 2 ← in slope- intercept form
subtract y from both sides
0 = 3x - y - 2 , that is
3x - y - 2 = 0 ← in general form
( t^15/27x^9 ) ^-2/3
Please solve this
it is fraction with a negative fraction exponent
Answers
Answer:
Step-by-step explanation:
Exponent laws:
[tex](a^{m})^{n}=a^{m*n}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]
[tex](t^{\frac{15}{27}}x^{9}})^{\frac{-2}{3}}= \ t^{\frac{15}{27}*\frac{-2}{3}}*x^{9*\frac{-2}{3}}\\\\\\= t^{\frac{5}{9}*\frac{-2}{3}}*x^{3*-2}\\\\=t^{\frac{-10}{27}}x^{-6}\\\\=\frac{1}{t^{\frac{10}{27}}x^{6}}[/tex]
find the compound interest on rs 800 for 2 years at 8% per annum interest being payable annually
Answers
Answer:
Rs 968
Step-by-step explanation:
Given :-
P = Rs 800 Rate = 8% Time = 2 yrs .To Find :-
Compound Interest .Solution :-
We know CI as ,
> CI = P ( 1 + R/100)ⁿ
> CI = Rs 800 ( 1 + 10/100)²
> CI = Rs 800 × 11/10 × 11/10
> CI = Rs 968 .
Find the distance between the lines with equations 7x-2y-2=0 and y=7/2x-10?
a. 2.47 b. 2.48 c. 2.5 d. 2.49
Answers
Answer:
the distance between the lines is 2.48
A school bought 26 computers for a new computer lab. If each computer costs $740, how much did the school spend?
Answers
Answer:
= 19, 240 $
Step-by-step explanation:
cost of 1 computer = $ 740
cost of 26 computers = 26 × 740
= 19, 240 $
so the school spent 19, 240 $
A discount site decreases the price of cell phones by . Select the two expressions that represent the discounted price of a phone costing dollars.
A
0.40ddd
B
0.60ddd
C
d−d-d−0.60
D
d−d-d−0.60ddd
E
1−-−0.60ddd
Answers
The percentage discount given on the prove is not supplied ; Assume the percentage discount given on the phone is 60%
Answer:
0.4d
d - 0.6d
Step-by-step explanation:
Given that :
Percentage Discount given on phone = 60%
The discounted pice :
Initial percentage = 100%
Discount percentage = 60%
(100% - 60%) of price
(100% - 60%) * d
40%*d
0.4d
Also ;
(100% - 60%) * d
100%*d - 60%d
d - 0.6d
solve for x
[tex] \sqrt{x^2-4x+8} +x=2 - x[/tex]
please show all workings
Answers
Answer:
[tex]\displaystyle x=-\frac{2}{3}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]\displaystyle \sqrt{x^2-4x+8}+x=2-x[/tex]
We can isolate the square root. Subtract x from both sides:
[tex]\sqrt{x^2-4x+8}=2-2x[/tex]
And square both sides:
[tex](\sqrt{x^2-4x+8})^2=(2-2x)^2[/tex]
Expand:
[tex]x^2-4x+8=4-8x+4x^2[/tex]
Isolate the equation:
[tex]3x^2-4x-4=0[/tex]
Factor:
[tex]\displaystyle (3x+2)(x-2)=0[/tex]
Zero Product Property:
[tex]3x+2=0\text{ or } x-2=0[/tex]
Solve for each case. Hence:
[tex]\displaystyle x=-\frac{2}{3}\text{ or } x=2[/tex]
Now, we need to check for extraneous solutions. To do so, we can substitute each value back into the original equation and check whether or not the resulting statement is true.
Testing x = -2/3:
[tex]\displaystyle \begin{aligned} \sqrt{\left(-\frac{2}{3}\right)^2-4\left(-\frac{2}{3}\right)+8}+\left(-\frac{2}{3}\right)&\stackrel{?}{=}2-\left(-\frac{2}{3}\right)\\ \\ \sqrt{\frac{4}{9}+\frac{8}{3}+8}-\frac{2}{3}&\stackrel{?}{=}2+\frac{2}{3} \\ \\ \sqrt{\frac{100}{9}}-\frac{2}{3}& \stackrel{?}{=} \frac{8}{3}\\ \\ \frac{10}{3}-\frac{2}{3} =\frac{8}{3}& \stackrel{\checkmark}{=}\frac{8}{3}\end{aligned}[/tex]
Since the resulting statement is true, x = -2/3 is indeed a solution.
Testing x = 2:
[tex]\displaystyle \begin{aligned}\sqrt{(2)^2-4(2)+8}+(2) &\stackrel{?}{=}2-(2) \\ \\ \sqrt{4-8+8}+2&\stackrel{?}{=}0 \\ \\ \sqrt{4}+2&\stackrel{?}{=}0 \\ \\ 2+2=4&\neq 0\end{aligned}[/tex]
Since the resulting statement is not true, x = 2 is not a solution.
Therefore, our only solution to the equation is x = -2/3.
Step-by-step explanation:
Hey there!
Given;
[tex] \sqrt{ {x}^{2} - 4x + 8} + x = 2 - x[/tex]
Take "X" in right side.
[tex] \sqrt{ {x - 4 + 8}^{2} } = 2 - 2x[/tex]
Squaring on both sides;
[tex] {( \sqrt{ {x}^{2} - 4x + 8 } )}^{2} = {(2 - 2x)}^{2} [/tex]
Simplify;
[tex] {x}^{2} - 4x + 8 = {(2)}^{2} - 2.2.2x + {(2x)}^{2} [/tex]
[tex] {x }^{2} - 4x + 8 = 4 - 8x + 4 {x}^{2} [/tex]
[tex]3 {x}^{2} - 4x - 4 = 0[/tex]
[tex]3 {x}^{2} - (6 - 2)x - 4 = 0[/tex]
[tex] 3 {x}^{2} - 6x + 2x - 4 = 0[/tex]
[tex]3x(x - 2) + 2(x - 2) = 0[/tex]
[tex](3x + 2)(x - 2) = 0[/tex]
Either;
3x+2 = 0
x= -2/3
Or;
x-2 = 0
x= 2
Check:
Keeping X= -2/3,
√(x²-4x+8 ) +X = 2-x
√{(-2/3)²-4*-2/3+8}+(-2/3) = 2+2/3
8/3 = 8/3 (True)
Now; Keeping X= 2
√{(2)²-4*2+8}+2 = 2-2
8 ≠0 (False)
Therefore, the value of X is -2/3.
Hope it helps!
does anyone know the domain and range of this?
Answers
Answer:
domain=1
range= -2
hope it helps
stay safe healthy and happy.Una pelota se lanza con velocidad inicial en el eje horizontal de Vx =1.55 m/s, y velocidad inicial en el eje vertical de Vy = 3m/s. Calcule la magnitud de la velocidad, ángulo de lanzamiento, y alcance máximo.
Answers
Answer:
Step-by-step explanation:
please I need answer right now ppleassssee
D. -1/4+-2/3
with explanation pleaseeee
Answers
Answer:
1 - 1/3
Step-by-step explanation:
Since 1/2 * 2/3 = 1/3, it should be the case that 1/3 divided by 2/3 gives 1/2 and that 1/3 divided by 1/2 gives 2/3. To divide fractions, we multiply the numerator by the reciprocal of the denominator, where the reciprocal of a number just interchanges the numerator and denominator of the number.
please help it’s easy i’ll give u brainilest <33
Answers
Answer:
for (a)
Step-by-step explanation:
15 and 25 are the numbers that come in A union to B
Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP. (decimal place)
Please Help !!!
Answers
Multiply the amount by 9.5% then subtract.
19064.67 x 0.095 = 1,811.14
Now subtract:
19064.67 - 1811.14 = 17253.53
The answer is £17,253.53
Be sure to show your work and solve for e:
(264 + 3 x 6) divided by 3 = e
Answers
Answer:
94
Step-by-step explanation:
(264+3*6)/3 = e
PEMDAS, so multiplication first.
3*6 = 18
= (264 + 18)/3
= 282/3
= 94
Consider the following hypothesis test: : : A sample of provided a sample mean and a sample standard deviation . Enter negative values as negative numbers. a. Compute the value of the test statistic (to three decimal places).
Answers
Answer:
-1.540
Step-by-step explanation:
H0 : μ = 18
H0 : μ ≠ 18
The sample size, n = 48
Sample mean, xbar = 17
Sample standard deviation, s = 4.5
α = 0.05
The test statistic :
(xbar - μ) ÷ (s/√(n))
(17 - 18) ÷ (4.5 / √48))
-1 ÷ 0.6495190
= -1.5396
= -1.540 (3 decimal places ).
What is the domain of the square root function graphed below
Answers
Answer:
Dominio de una Raíz cuadrada
Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.
Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.
Step-by-step explanation:
qsy
Solve the equation : 4x-(-2)=18
Answers
[tex]\large\boxed{ \sf{Answer}} [/tex]
[tex]4x - ( - 2) = 18 \\ 4x + 2 = 18 \\ 4x = 18 - 2 \\ 4x = 16 \\ x = \frac{16}{4} \\ x = 4[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Step-by-step explanation:
4x-1-2=18
4x+2=18
4x=18-2
4x=16
x=16/4
x=4
What value of x is in the solution set of 2x – 3 > 11 – 5x?
• -3
• 0
• 2
• 4
Answers
Hello!
2x - 3 > 11 - 5x
2x + 5x > 11 + 3
7x > 11 + 3
7x > 14
x > 14 : 7
x > 2
x = 4 → the solution
Good luck! :)
which of the following points are in the first quadrant of the xy-plabe? check all that apply
Answers
Answer: B and D because for the 1st quadrant both x and y need to be positive
Step-by-step explanation:
B. (2,2)
D. (4,8)
The format for 1st quadrant is: (+,+).
Casey wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
Answers
Answer:
x=6
Step-by-step explanation:
150+35x=60x
-35x -35x
150= 25x
150+35x=60x
Then you would subtract 35x from both sides to get this.
150=25x
Last you would divide both sides by 25 to find x.
150/25=25x/25
6=x
So 6 months.
Then the easiest would be plug in the x value (6) in the 60x.
60(6)= 360
So $360 in 6 months.
If 9^x = 81, then 3(3^x) =
A) 27
B) 3
C) 9
D) 81
E) 243
Answers
Answer:
A) 27
Step-by-step explanation:
[tex]9^{x}[/tex] = 81
x = 2
3([tex]3^{2}[/tex]) = 3(9) = 27
QUICKLY!! We know that a triangle with side lengths x^2-1,2x and x^2+1 is a right triangle. Using those side lengths, find the missing triples and x-values.
Write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. Write the triples in order from least to greatest.
Type the correct answer in each box.
x value--------------------pythagorean triple
3 ____________
________ (8,15,17)
5 ______________
__________ (12,35,37)
Answers
Answer:
[tex]\begin{array}{ccl}x \ value&&Pythagorean \ triple\\3&&(6, 8, 10)\\4&&(8, 15, 17)\\5&&(10, 24, 26)\\6&&(12, 35, 37)\end{array}[/tex]
Step-by-step explanation:
The given side lengths of the right triangle are;
x² - 1, 2·x and x² + 1
A Pythagorean triple are three numbers, a, b, and c, such that, we have;
a² + b² = c²
From the given side lengths, we have;
We note that (x² + 1) > (x² - 1)
(x² + 1) > 2·x for x > 1
Therefore, with (x² + 1) as the hypotenuse side, we have;
(x² - 1)² + (2·x)² = (x² + 1)²
Therefore, when the x-value is 3, we have;
(3² - 1)² + (2 × 3)² = (3² + 1)²
8² + 6² = 10²
The least is 6² = (2 × 3)², from (2·x)²
Therefore;
The Pythagorean triple is 6, 8, 10
The order of the triple is (2·x), (x² - 1), (x² + 1)
2) The x-value for the triple, (8, 15, 17), is obtained as follows;
The least, 8 = 2·x
∴ x = 8/2 = 4
The x-value = 4
3) The Pythagorean triple where the x-value = 5 is therefore;
(2·x), (x² - 1), (x² + 1), where x = 5 gives; (2×5 = 10), (5² - 1 = 24), (5² + 1 = 26)
Therefore, the Pythagorean triple where x = 5 is 10, 24, and 26
4) The x-value for the Pythagorean triple (12, 35, 37) is given by 12 = 2·x
Therefore, x = 12/2 = 6
Therefore, we get;
[tex]\begin{array}{ccl}x \ value&&Pythagorean \ triple\\3&&(6, 8, 10)\\4&&(8, 15, 17)\\5&&(10, 24, 26)\\6&&(12, 35, 37)\end{array}[/tex]
need help asap plss!!!!
Answers
Answer:
A
Step-by-step explanation:
4x+5=33
then I solved for x and plugged in the numbers
Answer:
A
Step-by-step explanation:
4×+5=33
true.
this the true answer correct answer in first one
Can you help me with this question? It’s in the photo
Answers
Answer:
Option (d), (e) and (f) are correct.
Step-by-step explanation:
In triangle MNP, angle P = 90 degree
Cos M = 7 / 12
Now according to the right angle triangle
[tex]NP^2 = NM^2 - PM^2\\\\NP^2 = 12^2 - 7^2\\\\NP = \sqrt95[/tex]
Now
[tex]Sin M = \frac{sqrt95}{12}\\\\Cos N = \frac{95}{12}[/tex]