Answer:
Both expressions equal 5 when substituting 2 for x because both expressions are equivalent
Step-by-step explanation:
Given
[tex]\frac{1}{2}x + 4[/tex] - Expression 1
[tex]x + 6 - \frac{1}{2}x - 2[/tex] -- - Expression 2
Required
Find the result of both expressions when [tex]x = 2[/tex]
Expression 1
[tex]\frac{1}{2}x + 4[/tex]
Substitute [tex]x = 2[/tex]
[tex]\frac{1}{2} * 2 + 4[/tex]
[tex]1 + 4[/tex]
[tex]Result = 5[/tex]
Expression 2
[tex]x + 6 - \frac{1}{2}x - 2[/tex]
Substitute [tex]x = 2[/tex]
[tex]2 + 6 - \frac{1}{2} * 2 - 2[/tex]
[tex]2 + 6 -1 -2[/tex]
[tex]Result = 5[/tex]
Answer:
Putting it short: Both expressions equal 5 when substituting 2 for x because both expressions are equivalent
Step-by-step explanation:
Determine whether the samples are independent or dependent. upper a data set includes the morning and evening temperature for the lasta data set includes the morning and evening temperature for the last 90 days.90 days.
Answer:
Dependent sample
Step-by-step explanation:
The sample: a data set includes the morning and evening temperature for the last 90 days.
The samples are dependent in that they are paired measurements on just one set of item which is the temperature.
These measurements are related in such a way that the each observation in one sample can be paired with an observation in the other sample.
whats the cube root of 3375 by prime factorization
Answer:
15
Step-by-step explanation:
Prime factors of 3375 are 3, 3, 3, 5, 5, 5.
Since you need the ∛ of 3375, ∛3375=15
Answer:
15
Step-by-step explanation:
15x15x15=3375
Given right triangle XYZ, what is the value of sin(Y)? (Hint: Special Right)
A.) 1/2
B.) SqRt3/3
C.) SqRt3/2
D.) (2SqRt3)/3
Answer:
sinY = 2
or
x = 2
Step-by-step explanation:
None of the above answer choices are correct. If you solve for sinY:
sin30° = x/4
4sin30° = x
x = 2
Now that we have x, we use our special right triangle rules for 30-60-90 triangles. The angle across the 30° is x, the angle across the 60° is x√3 and our hypotenuse is 2x. Our answer would still be x = 2, so none of the answer choices are correct.
Answer: 1/2
Step-by-step explanation:
Which statement is the Law of Syllogism? I will make you a brainllest
Answer:
The answer is P - Q and Q - R are true statements, the P - R is a true statment
Pls help me on this equation
which graph represents the hyperbola x2/32-y2/82=1?
Answer:
Step-by-step explanation:
You have the following hyperbola:
[tex]\frac{x^2}{32}-\frac{y^2}{82}=1[/tex] (1)
The general for of a hyperbola:
[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]
To construct the graph you take into account the rectangle formed by the lines x=±a and y=±b, and the asymptotes of the diagonals of the rectangles.
Furthermore, you take into account the foci of the hyperbola, which are
(0,±a).
Then, you have the lines
x = ± √32
y = ± √82
And the foci:
(0, ± √32)
The graph is shown in the attached image.
Answer:
D
Step-by-step explanation:
On edg
Last year Peter spent a total of 8 1/6 hours on community service. Visits to old folks' homes made up 4/7 of the total time. How much time did he spend in visiting old folks homes?
B) This year Peter plans to spend 1 1/5 of his time spent last year on community service.
(i) Find the time he will spend on community service.
(ii) How much more time will he spend this year than last year?
Answer:
A. 4 2/3 hours
B. (i) 9 4/5 hours
(ii) 1 19/30
Step-by-step explanation:
Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.
Mathematically, that would be;
4/7 * 8 1/6
8 1/6 is same as 49/6
So the number of hours he spent visiting old folks would be ;
49/6 * 4/7 = 14/3 = 4 2/3 hours
B. What we do here is simply multiply the fraction now by what he spent last year.
That would be 1 1/5 * 8 1/6 hours
= 6/5 * 49/6 = 49/5 = 9 4/5 hours
ii) Now we want to know how much more time will be spent this year than last year.
What to do here simply is to subtract the time taken last year from what we have this year
That would be;
49/5 - 49/6 = 49/30 = 1 19/30
PLEASE HELP!!!! BRAINLIEST FOR RIGHT ANWSER
Answer:
d.tigers have a great IQR because they were some very heavy tigers.(high outliers)
Which pair shows equivalent expressions?
Answer:
2(2/5x+2)=4x/5+4
Step-by-step explanation:
2(2/5x+2)=4x/5+4
4x/5 +4=4x/5 +4
The revenue from selling x shirts is f(x) = 15x.
The cost of buying x shirts is c(x) = 7x + 20.
The profit from selling x shirts is p(x) = f(x) - cx).
What is p(x)?
Answer:
p(x) = 8x - 20
Step-by-step explanation:
revenue from selling x shirts is f(x) = 15x
The cost of buying x shirts is c(x) = 7x + 20
p(x) = f(x) - c(x)
To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)
p(x) = f(x) - c(x)
p(x) = 15x -( 7x + 20)
=> p(x) = 15x - 7x -20
=> p(x) = 8x -20
Thus, profit is p(x) = 8x - 20.
The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apart are the two cities?
Answer:
Step-by-step explanation:
2340 miles
Given
1 inch represents 10 miles
thus,
1 inch on map = 10 miles in real
given the two cities are 234 inches apart on map
1 inch on map = 10 miles in real
multiplying both side by 234
1 inch*234 on map = 10 miles*234 in real
234 inch on map = 2340 miles in real.
Thus, two cities are 2340 miles apart.
Answer:
27.5 miles
Step-by-step explanation:
You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.
2 3/4 * 10
11/4 * 10/1 = 55/2
27 1/2 or, 27.5
4x
10x
h = 4x
h = 10x
Step-by-step explanation:
the answer would be 40 4x 10x h = 4x
PLZ HURRY How many solutions does this system have? y = 3 x minus 5. y = negative x + 4.
Answer:
one is correct.
Step-by-step explanation:
because it have one solution when you graph it
Answer:
One solution (2.25,1.75)
Step-by-step explanation:
Well first we need to graph the following
[tex]y=3x-5[/tex]
[tex]y=-x+4[/tex]
So look at the image below.
So looking at the image below we can tell that the system only has one solution (2.25,1.75).
factorize xsquare-25
Answer:
The answer is (x + 5)(x - 5).
Step-by-step explanation:
Assuming that 25 is a perfect square so you can apply :
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
Test :
[tex](x+5)(x-5) = {x}^{2} - 5x + 5x - 25 [/tex]
[tex](x+5)(x-5) = {x}^{2} - 25 [/tex]
Answer:
[tex]\boxed{(x-5)(x+5)}[/tex]
Step-by-step explanation:
x² - 25
Factor out square.
(x)² - (5)²
Apply difference of two squares formula.
a² - b² = (a-b)(a+b)
a = x
b = 5
x² - 25 = (x-5)(x+5)
What is the Square root of -100
Answer:
[tex]10i[/tex]
Step-by-step explanation:
√(-100)
Use the imaginary number rule [tex]i=\sqrt{-1}[/tex]
√(-1) × √(100)
i × √(10²)
i × 10
= 10i
Answer:
It does not have a square root because it is a minus digit.
Step-by-step explanation:
The square root of one number is the number which is multiplied by itself to form the square number.
But, no negative number has a square root, because
- x - = +
+ x + = +
As you can see, no two same signs multiply together to form a negative.
Hope this helps.
Good Luck
PLEASE HELP, AND PLAESE EXPLAIN!!!
Answer:
D. 22.5 sq. un.
Step-by-step explanation:
W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.
That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un. - Also 4.5*2=9 to get WUV
V is the midpoint of the line BS so that means that BUV and UVS are equal
we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle
=27
The last step is to get rid of BVW which we know is 4.5
27-4.5=22.5
show your work
PLEASE!
Hey there! :)
Answer:
x = 12.
Step-by-step explanation:
Given:
[tex]\frac{3}{5} = \frac{x}{20}[/tex]
Cross multiply to solve for x:
3 · 20 = 5 · x
60 = 5x
Divide by 5:
12 = x.
Answer:
so x=12
Step-by-step explanation:
[tex]\frac{3}{5}=\frac{x}{20}\\ by cross multiplication[/tex]
3×20=5×x
60=5x
dividing 5 on both sides
60/5=5x/5
x=12
i hope this will help you :)
can someone in here help me with this question I'm stuck and I don't know to do it
Answer:
Substitute -3,-2,-1,0,1,2,3 in d equation given to u at first to complete the table
Classify the following triangle.Check all that apply
Answer:
B and D
Step-by-step explanation:
=> All of the sides are unequal so it's a scalene triangle.
=> It have a 90 degrees angle, so it is a Right Angled Triangle.
Answer:
B. Scalene
D. Right
Step-by-step explanation:
The triangle is a scalene triangle, because all the three sides have different lengths.
The triangle is a right triangle, because it has an angle of 90 degrees.
Which of the following is a perfect square trinomial ? PLEASE HELP!!!!!!!!!!!!!!!!!
Answer:
The answer is C. 16x² - 56xy + 49y²
Step-by-step explanation:
A perfect square trinomial is the result of a squared binomial, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
a set of five numbers has a mode of 24 a median of 21 a mean of 20 . work out what the numbers could be
Answer:
Step-by-step explanation:
The mode is 24 so we know that at least 2 of the 5 numbers are 24.
The mean is 20 so we know that the 5 numbers add up to 100.
The median is 21 so the third number is 21.
100-(24+24+21)= 31
Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.
E.g. 24, 24, 21, 11 & 20
Find the area of the shape shown below Please help :(
Answer:
18 units^2
Step-by-step explanation:
Formula for Area of trapezoid: ( base 1 + base 2 / 2) * height
(3 + 9 / 2) * 3 = (12 / 2) * 3 = 6 * 3 = 18 units^2
I hope this helps
Answer:
18²
Step-by-step explanation:
Formula for a trapezium:
Area = base1 + base2/2 × height
3 + 9/2 × 3
= 12/2 × 3
18²
PLS HELP ASAP! A decoration is packed in a box shaped like a cube. The decoration has a volume of 651 cm3. Approximately how much empty space remains in the box?
This question is incomplete.
Find attached to this question the diagram of the cube.
Reference for the attached image: This diagram was obtained from Education Quality and Accountability Office (EQAO) PDF
Answer:
128cm³
Step-by-step explanation:
The diagram of the box shows it has a side length of 9.2cm
Volume of a cube =( Length)³
Volume of a cube =( 9.2cm)³
= 778.688cm³
We are told in the question that the decoration packed in the cube has a volume of 651 cm³.
The amount of empty space remaining in the box is calculated as:
778.688cm³ - 651cm³
= 127.688cm³
Approximately to the nearest whole number = 128cm³
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer:
11.67
Step-by-step explanation:
Data given in the question
∠ADC = 42°
∠BAC = 68°
Let us assume that AC be Y
Now
In ΔACD
tan 42° = AC ÷ CD = Y ÷ x ...............................(i)
In ΔACB
tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)
Now take the value of Y from the equation (ii)
Y = 26 ÷ Tan 68° ...................... (iii)
Now place the value of Y in equation (i)
So,
Tan 42° = 26 ÷ tan 68° × X
X = 26 ÷ tan 68° × Tan 42° ......................(iv)
Now placing the values of tan 42° and tan 68° in equation (iv)
So,
X = 26 ÷ 0.900 × 2.475
= 11.67
The tan 42° = 0.900
And, the tan 68° = 2.475
Which property can be used to solve the equation? StartFraction d Over 10 EndFraction = 12 addition property of equality subtraction property of equality multiplication property of equality division property of equality
Answer:
multiplication property of equalityStep-by-step explanation:
Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;
Multiply both sides by 10
d/10 * 10 = 12*10
d = 120
It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality was used to solve the equation.
please help, tysm if you do
the length of a rectangle is 2 cm less than three times the width. the perimeter of the rectangle is 92 cm. find the dimensions of the rectangle. A. 11, 31 cm
B. 12, 34 cm
C. 12, 38 cm
D. 13, 37 cm
Answer:
I hope it will help you.......
If x + 12 55- yand 5 - ys 2(x-3), then which statement is true?
OA.
X+ 12 205 -
OB.
x + 12 32x-3
OC.
X + 12 = 2(x-3)
OD. x + 12 sy-5
Answer:
C
Step-by-step explanation:
so
a≤b
b≤c
definitely a can't be more of c
at last, equal
so a≤c
Help plz and plz write it down on paper and send me a picture ❤️
Answer:
Step-by-step explanation:
(27)^2/3=∛27²=∛3³*3³=3*3=9
√36³=√36*36*36=√6²*6²*6²=6*6*6=216
(-243)^3/5=5√2-42³=-27
Pleasseeee help me It's for a test Mars is extremely far from the Earth. Scientists estimate that it could take astronoauts 245 days to travel from Earth to Mars. This is more than half of a year! Suppose astronauts travel to Mars when the distance between Earth and Mars is 108 million miles. If the trip takes 245 days, on average, how many miles would be traveled each day? In your calculator, write the large number as a multiple of a power of 10 to compute the answer. Round to the nearest mile.
Answer:
440,816 miles per day
Step-by-step explanation:
If h(x) = 5 + x and f(x) = 5, which expression is equivalent to (kn)(x)?
Answer:
Step-by-step explanation:
The question is not correctly written, here is the correct question.
If h(x) = 5 + x and k(x) = 5, which expression is equivalent to (koh)(x)?
(koh)(x) can be rewritten as k{h(x)}
Since h(x) = 5+x then, k{h(x)} = k(5+x)
Note that k(x) can be written as 5x°
k(5+x) = 5(5+x)°
Since any value raise to the power of zero is 1, then;
k(5+x) = 5(1)
k(5+x) = 5
(koh)(x) = k{h(x)} = 5
For (hok)x;
(hok)x = h{k(x)}
= h(5)
= h(5x°)
Since h(x) = 5+x
h(5x°) = 5+5x°
h(5x°)= 5+5 = 10
(hok)x = h(k(x)) = 10