Answer:
x = 4 2/7
Step-by-step explanation:
2/3 x= -1/2x+5
Add 1/2 to each side
2/3 x 1/2 x = -1/2x+1/2x+5
2/3 x +1/2x =5
Get a common denominator
2/3x *2/2 + 1/2 *3/3 = 5
4/6x + 3/6x = 5
7/6x = 5
Multiply each side by 6/7 to isolate x
6/7 *7/6x = 5 *6/7
x = 30/7
Change to a mixed number
x = 28/7 + 2/7
x = 4 2/7
Select the correct answer.
If the range of the function ºf(x) = x/4' is {28, 30, 32, 34, 36}, what is its domain?
Answer:
A is right. domain = {112, 120, 128, 136, 144}
Step-by-step explanation:
The range is the y-coordinate while the domain is the x-coordinate
y = x/4
x = 4y
domain = {4(28), 4(30), 4(32), 4(34), 4(36)}
= {112, 120, 128, 136, 144}
245 x 20 remander2/13
a) Find the value of
Write your answer correct to the nearest 10.
b) Find the value of square root of 58 - 29 + 38
Write your answer correct to 2 decimal places.
Answer:
1) 245 x 20 remander2/13 = 4940
2) square root of 58 - 29 + 38
= 8.19
Step-by-step explanation:
245 x 20 remander2/13= 245* 20 2/13
245 x 20 remander2/13= 245 * 262/13
245 x 20 remander2/13= (245*262)/13
245 x 20 remander2/13 =64190/13
245 x 20 remander2/13= 4937.69
245 x 20 remander2/13 = 4940
square root of 58 - 29 + 38
= √(58-29+38)
square root of 58 - 29 + 38
= √(96-29)
square root of 58 - 29 + 38
= √(67)
square root of 58 - 29 + 38
= 8.185
square root of 58 - 29 + 38
= 8.19
A researcher finds that the average preschool-aged child drinks two cups of milk per day. Assuming these data are normally distributed, the z score for any score more than the average cups per day in this example will be ______. Group of answer choices
Answer choices :
less than 0
greater than 0
exactly equal to 0
There is not enough information to answer this question.
Answer: greater than 0
Step-by-step explanation: For a normally distributed data, that is a data which is symmetrical whereby the majority of the values cluster at the center of the distribution. In general, for a normal distribution, the mean is 0 and the standard deviation is 1. Where the mean measures the average and refers to the center of the distribution and the standard deviation measures how spread out the data is.
Z - scores are used to standardize values with values above the average having z-scores greater than 0, those below average having values less than 0 and average value having a z-score of exactly 0.
ADDISON RAE mixed L of water with 1 L vegetable oil. Which fluid will be floating? Why? The total volume is 2 L. If water’s density is 1 g/cm^3 and the oil’s density is 0.9 1 g/cm^3, what is the density of the mixture? How about 1.9L of water and 0.1 L of the same oil?
Answer:
The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly but gets faster each minute after you hear this signal bodeboop. A sing lap should be completed every time you hear this sound. ding Remember to run in a straight line and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark. Get ready!… Start
There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is 6 4/7 , find the number common to both sets of four numbers.
Answer:
Number common to both sides=6
Step-by-step explanation:
Average of first four numbers=5
4*5=20
Average of the last four numbers=8
4*8=32
Average of all seven numbers=6 4/7
7*6 4/7
Find the number common to both sets of four numbers
Solution
4*5=20
4*8=32
32+20=52
7 * 6 4/7
=7*46/7
=46
Number common to both sides=52-46
=6
I NEED HELP PLEASE, THANKS! :)
Answer: A
Step-by-step explanation:
The standard form of a cosine equation is: y = A cos (Bx - C) + D where
Amplitude (A) is the distance from the center to the maxPeriod (P) is the length of the function = 2π/B Phase Shift is the distance the max is moved from the y-axis = C/BCenter (D) is the imaginary line between the max and minPlot the points (see graph below).
A = 28
[tex]\dfrac{1}{2}P=6\quad \rightarrow \quad P=12\\\\\\P=\dfrac{2\pi}{B}\qquad \rightarrow \qquad 12=\dfrac{2\pi}{B}\qquad \rightarrow \qquad \large\bold{B=\dfrac{\pi}{6}}[/tex]
Phase Shift = 7 = C/B
[tex]7=\dfrac{C}{\frac{\pi}{6}}\qquad \rightarrow \qquad \large\bold{C=\dfrac{7\pi}{6}}[/tex]
D = 49
Input the values of A, B, C, and D into the standard form of a cosine equation to get:
[tex]\large\boxed{y=28\cos \bigg(\dfrac{\pi}{6}x-\dfrac{7\pi}{6}\bigg)+49}[/tex]
Please help I need it in 5 minutes!
Answer:
[tex]11^{-10}[/tex]
Step-by-step explanation:
When you divide exponents, you subtract their powers:
-5 - 5 = -10
[tex]11^{-10}[/tex]
1. Solve.
a) (x + 3)(x - 5) = 0
b) 5(x - 6) (x - 9) = 0
c) (2x + 1) (3x - 5) = 0
d) 2x(x - 3) = 0
Step-by-step explanation:
2x × 3x +(-5×1)=6x-6=o
Answer: A: x=-3, 5
Step-by-step explanation: Use the quadratic equation or solving system method to get x=-3,5 the other questions are similar!
I need help ASAP bsnbssbbsb
Answer:
Option A and C
Step-by-step explanation:
An isosceles triangle have:
=> Two equal angles
=> Two sides with the same length
Answer:
A & C
Step-by-step explanation:
The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.
Work out the mean for the data set below: 2.2, 2, 8.9, 4.1, 8.2
PLEASE HELP ME!! explain this to me I am so confused.
Answer:
2
Step-by-step explanation:
sec∅ is equal to 1/cos∅ or (hypotenuse over adjacent).
With that in mind:
sec∅ = 2/1
sec∅ = 2
Answer:
B. 2
Step-by-step explanation:
We need to find the value of secant for this triangle.
Remember the trigonometric functions: secant = hypotenuse / adjacent, where the hypotenuse is the longest side (2 in this case), and the adjacent is the side right next to the labelled angle but is not the hypotenuse (1 in this case).
Plugging the values into the equation yields:
sec(θ) = hypotenuse / adjacent
sec(θ) = 2 / 1 = 2
The answer is thus B.
~ an aesthetics lover
Can you please help me I really need help please help me thank you
Answer:
a) x = 17/8
b) x = 23
c) x = -8/11.
Step-by-step explanation:
a)
-3x + 5 = 5x - 12
Add 3x to both sides:
5 = 8x - 12
Add 12 to both sides:
17 = 8x
Divide both sides by 8:
17/8 = 8x/8
x = 17/8.
---------------------
b)
6(x-3)-4(x+2) = 20
Distribute:
6x - 18 - 4x - 8 = 20
Combine like terms:
2x - 26 = 20
Add 26 to both sides:
2x = 46
Divide both sides by 2:
x = 23.
---------------------
c)
-2/5(x + 3) = 1/3(x - 2)
Distribute:
-2/5x - 6/5 = 1/3x - 2/3
Add 2/5x to both sides by creating a common denominator:
-6/15x - 6/5 = 5/15x - 2/3
-6/5 = 11/15x - 2/3
Add 2/3 to both sides. Create common denominator:
-18/15 = 11/15x - 10/15
-8/15 = 11/15x.
Divide both sides by 11/15:
[tex]\frac{-8}{15}* \frac{15}{11} = \frac{-8}{11} = x[/tex]
x = -8/11.
Which word best compleates the statement below look at the diagram to help
Answer:
The answer is option B.
RectanglesHope this helps you
Answer:
trapezoids
Step-by-step explanation:
i know i can delete rectangles and square, but rhombuses and parallelogram don't really have in common so the answer is trapezoids.
is quite easy 4th grade math
hope this helped :)
A pilot wants to arrive at her destination as soon as possible. Air traffic is busy, so she can take off 10 minutes later than expected and will be able to travel three times faster than expected if she waits. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the flight was expected to take.
Answer:
y = x/3 + 10
Step-by-step explanation:
Let y be the number of minutes the flight takes
She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.
Let her expected speed be s, therefore, she can travel at 3s.
x = number of minutes the flight was expected to take.
In terms of distance and speed:
x = d / s ______(1)
where d = total distance traveled
The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:
t = d / 3s
From (1):
=> t = x / 3
The time she spent waiting is 10 minutes.
Therefore, the total time that the flight takes (plus waiting time) is:
y = t + 10
=> y = x/3 + 10
plz answer..................................
Answer:
840π
Step-by-step explanation:
To calculate the surface area of a cylender, do S=2(π)*radius*height.
2(π)*12*35 = 840 π
Find the solution to the equation graphically. 10x - 10 = x + 10
Answer: x = [tex]2\frac{2}{9}[/tex]
Step-by-step explanation:
10x - 10 = x + 10
Subtract(x)
9x - 10 = 10
Add(10)
9x = 20
Divide(9)
x = [tex]2\frac{2}{9}[/tex]
Hope it helps <3
Answer:
x = 20/9
Step-by-step explanation:
10x - 10 = x + 10
Subtract x on both sides.
Add 10 on both sides.
10x - x = 10 + 10
Combine like terms.
9x = 20
Divide 9 on both sides.
x = 20/9
1. A point on the ground is 50 feet from my house. The angle of elevation to the top of the house is 48 Find the height of the house to the nearest tenth
2. A bird is flying at a height of 2 meters above the sea level. The angle of depression from the bird to the fish it sees on the surface of the ocean is 15^c irc. Find the distance the bird must fly to be directly above the fish. Round to the nearest tenth
Please help me as soon as possible! I have to get this done before tomorrow! Please helpppp
Answer:
(1)55.5 feet
(2)7.5 feet
Step-by-step explanation:
Question 1
The diagram is attached below.
Using Trigonometric ratio
[tex]\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)[/tex]
The height of the house is 55.5 feet to the nearest tenth.
Question 2
In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.
Using Trigonometric ratio
[tex]\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)[/tex]
The distance the bird must fly to be directly above the fish is 7.5 feet.
A 4cm ladder rest against a vertival wall with it's foot 2 m from the wall. How far up the wall does the ladder reach?
A 6 sided die numbered 1 to 6 is rolled . Find the probability that in the roll of the results is an odd number or less than 4
Answer:
4/6 or 66%
Step-by-step explanation:
Odd numbers from 1 to 6 are: 1, 3, 5
Numbers less than 4 are: 1, 2, 3
So there are 4/ 6 possible outcomes.
So the probability is 4/6 or 66%.
Just divide and check,
(x^2 + 7x + 10) ÷ (x + 2)
Answer:
x+5
Step-by-step explanation:
so first you would divide by x (which means you would multiply x+2 by -x)
x^2 + 7x + 10
-x^2 - 2x
5x + 10
then you would divide by 5 (which means you would multiply x+2 by -5)
5x + 10
5x +10
0
So then to check it you would multiply x+5 by x+2
(x+5)(x+2)
x^2 + 2x + 5x + 10
then simplify to get
x^2 + 7x + 10
CAN I GET SOME HELP ASAP PLEASE
Answer:
11.2 - B to C12 - B to A8.8 - A to CYou have to multiply all the sides by 4.
B to C = 2.8*4
2.8 * 4 = 11.2
B to A = 3*4
3*4 = 12
A to C = 2.2*4
2.2*4 = 8.8
Hope this helped!
The table below gives input and output values for the function h(x) = a^x.
Answer:
It's the first one.
hope it helps :)
Step-by-step explanation:
explain the relationship between the legs and the hypotenuse of a right triangle.
Answer:
According to the pythagorean theorem, a^2 + b^2 =c^2
c signifies the hypotenuse
a and b are the two legs
the sum of the two legs squared measures will equal the measure of the hypotenuse squared.
Step-by-step explanation:
work out the shaded area
Answer:
70 [tex] {cm}^{2} [/tex]Step-by-step explanation:
Shaded area:
Area of big rectangle - Area of small rectangle
[tex] = 10 \times 12 - (10 - 5) \times (12 - 2)[/tex]
Calculate the difference
[tex] = 10 \times 12 - 5 \times 10[/tex]
Calculate the product
[tex] = 120 - 50[/tex]
Calculate the difference
[tex] = 70 \: {cm}^{2} [/tex]
Hope this helps...
Best regards!!
Please help me asapppppp
Answer:
3x+4
Step-by-step explanation:
The perimeter is given by
P = 2 ( l+w)
We know the perimeter is 8x+8
8x+8 = 2 ( l+w)
Divide each side by 2
4x+4 = l+w
The width is x
4x+4 = l+x
Subtract x from each side
4x+4-x = l+x-x
3x+4 = l
The length is 3x+4
PLEASE ANSWER ASAP!! THANKS!!
Answer:
40
Step-by-step explanation:
The angles stay the same but, the position of the triangle changes.
Hope this helps,
kavitha
Answer: A’ = 40ᴼ
Step-by-step explanation:
The angles are congruent and add to equal 180ᴼ
A = 40ᴼ
The measure of A stays the same when the angles are rotated
Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogether?
Answer:
£480
Step-by-step explanation:
we can multiply both terms of ratio with same number without changing the ratio.
Example
a:b = ax: bx (here we have multiplied both terms with x)\
Given
Stevie and Michael share their profit in a ratio 3:5
Let the profit for Stevie and Michael be 3x and 5x
Given Stevie gets £120 more than Michael
Profit for Steve = 120 + profit for Michael
3x = 120 + 5x
3x-5x = 120
=> -2x = 120
=> x= -120/2 = -60
As we see profit is negative , hence it cannot be solution.
It can be solved if Stevie and Michael share their profit in a ratio 5:3
(note: in ratio , bigger number should have bigger term in ratio)
Let the profit for Stevie and Michael be 3x and 5x
Given Stevie gets £120 more than Michael
Profit for Steve = 120 + profit for Michael
5x = 120 + 3x
5x-xx = 120
=> 2x = 120
=> x= x120/2 = 60
Profit for stevei = 5x =5*60 = 300
Profit for Michael = 3x = 3*60 = 180
Total profit for them together = 300 + 180 = 480 Answer.
What is the solution to -2(8x - 4) < 2x+5
Answer: x>1/6
Step-by-step explanation:
For this problem, you solve it as if it had an equal sign.
-2(8x-4)<2x+5 [distribute -2]
-16x+8<2x+5 [combine like terms by adding and subtracting on both sides]
3<18x [divide both sides by 18]
x>1/6
Of a certain road 7.264km are down hill, 3.873km are up hill and 6.89 are level.what is the length of the road pls urgent tnx
Answer:
18.027
Step-by-step explanation:
7.264+3.873+6.89
18.027
PLEASE HELP ME IS FOR TOMMOROW
Answer:
65°
Step-by-step explanation:
The missing angle is x°
tan x° = [tex]\frac{opposite }{adjacent}[/tex]
tan x° = [tex]\frac{850}{400\\}[/tex]
tan x° = 2.125
Using a calculator insert
tan^(-1)(2.125) ≈ 65° (after rouding the the nearest unit)