Answer:
-8
Step-by-step explanation:
¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x
3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4
3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4
3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4
3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2
(3x - 8x + 6x + 4x)/16 = - 5/2
5x/16 = - 5/2
5x * 2 = -5 * 16
10x = - 80
x = -80/10 = -8
Analyze the set below and answer the question that follows. (KUM) n (KUL) Which Venn diagram has shading that represents the given set?
Answer:
Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].
Step-by-step explanation:
Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.
Apply this property to simplify the given expression:
[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]
[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.
HLPPPPPPPP MEEEEEEEEEEEEE PLZZZZZZZZZZZZ if d is the circumference of abc what is the measure of aex
Answer:
∠AEX = 70°
Step-by-step explanation:
From the diagram
AX ≅ BX
BY ≅ CY
AZ ≅ CZ
∠XAE = 20°
A circumcenter has equal distant from vertices of the triangle since radii of circles are congruent.
For the given figure, the midpoints is at Z, X, Y
And the perpendiculars also occur at Z, X, Y
∠Z = 90°
∠X = 90°
∠Y = 90°
∠XAE ∠AXE +∠AEX= 180° (sum of angles in a triangle)
∠AXE = ∠X = 90°
20° + 90° +∠AEX= 180°
110° +∠AEX= 180°
∠AEX = 180°-110°
∠AEX = 70°
If x and y are positive real numbers, which expression is equivalent to the expression below?
(49x^2y)^1/2(27x^6y^3/2)^1/3
A.) 21x/^3y
B.) 10x^2y
C.) 10x^3y
D.) 21x^3y^2
The answer is A.) 21x/^3y
Here is proof
solve for x.
12x - 8 = 8x - 20
Answer:
x= -3
Step-by-step explanation:
12x-8x = -20+8
4x = -12
x= -12/4
x = -3
Steps:
Step 1: Subtract 8x from both sides.
12x−8−8x=8x−20−8x
4x−8=−20
Step 2: Add 8 to both sides.
4x−8+8=−20+8
4x=−12
Step 3: Divide both sides by 4.
4x/4 = −12/4
Answer: x=−3
Please mark Brainliest
Hope this helps.
Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold
Answer:
2720 oranges were sold
The table represents a linear function.The rate change between the points (-5,10) and (-4,5) is -5 what is the rate of change between points (-3,0) and (-2,-5)
Answer:
The rate of change is "5"
which agrees with the last answer option
Step-by-step explanation:
Use the expression for the rate of change between two points on the plane:
[tex]rate\,of\,change=\frac{y_2-y_1}{x_2-x_1} \\rate\,of\,change=\frac{-5-0}{-2-(-3)}\\rate\,of\,change=\frac{-5}{1}\\rate\,of\,change=5[/tex]
Answer: is 5 I just took the test
Step-by-step explanation:
Can anyone one give me the answer for this??!! Please hurry up to
Answer:
N=6
Step-by-step explanation:
As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6
find the value of x when m<2= 8x
Answer:
x = 10
Step-by-step explanation:
The base angles of an isosceles triangle measure the same
The three angles of the triangle and 50 , 50 and <2
They sum to 180 degrees
50 +50 + 8x = 180
Combine like terms
100+8x = 180
Subtract 100 from each side
100-100 +8x = 180 - 100
8x= 80
Divide by 8
8x/8 = 80/8
x = 10
Answer:
x =10
Step-by-step explanation:
this is isosceles Δ so it has base ∠ that are =
sum of angles in Δ is 180 so 180 -50-50 = 80
m<2= 80
80= 8x
x =10
select all that are equal to 5^3*5^-7
a. 1/5^-4
b. 1/5^4
c. 5^-4
d. 5^4
e. 1/-625
Answer:
5^3*5^-7 = 1/5^4 b. is true = 625
5^3*5^-7 = 5^-4 c. is true = 625
Step-by-step explanation:
b. Left hand side
Simplify the following:
5^3/5^7
Combine powers. 5^3/5^7 = 5^(3 - 7):
5^(3 - 7)
3 - 7 = -4:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Right hand side:
Simplify the following:
1/5^4
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
_____________________________
c. Left hand side (see above)
Right hand side:
Simplify the following:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Answer:
The answers are B and C. The other person is wrong.
Step-by-step explanation:
is it true or false , why and why not ?
9a is equivalent to 11a - 2a
Answer:
true
Step-by-step explanation:
11a - 2a
Factor out a
a(11-2)
a *9
9a
Answer:
9a is equivalent to 11a - 2a because 11a-2a=9a
Step-by-step explanation:
A body was found at midnight in a warehouse where the temperature was 55. The medical examiner found the temperature of the body to be 66. What was the approximate time of death?
Answer:
5 p.m.
Step-by-step explanation:
Newton's law of cooling-
[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]
where,
[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)
k = 0.1947,
T(t) = 66 F,
[tex]t_a[/tex] = 55 F,
Putting the values,
[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]
Therefore, the time of death was 7 hours before midnight i.e at 5 pm.
the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.
Answer:
m<1=120
Step-by-step explanation:
A linear pair adds up to 180 degrees.
So <1+<2=180
Let <2=X, that would make <1=2X because <1 is 2 times more.
So substitute that into the equation.
2x+x=180.
Combine like terms and get 3x=180
Divide both sides by 3 and get x=60.
Substitute that into <1 and get <1=120
part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each
10. tan(30) = l / 6√3
l = tan(30) x 6√3
l = 6
cos(30) = 6√3 / y
y = 6√3/cos(30)
y = 12
11. tan(30) = c/30
c = 30 x tan(30)
c = 10√3
cos(30) = 27/w
w = 27/cos(30)
w = 18√3
12.
sin(60) = 36/y
y = 36/sin(60)
y = 24√3
tan(60) = 36/x
x = 36/tan(60)
x = 12√3
Answer:
10. (l, y) = (6, 12)
11. (c, w) = (9√3, 18√3)
12. (x, y) = (12√3, 24√3)
Step-by-step explanation:
Side ratios, shortest to longest, in a 30°-60°-90° triangle are ...
1 : √3 : 2
__
10. l : 6√3 : y = 1 : √3 : 2
multiply by 6
= 6 : 6√3 : 12
l = 6, y = 12
__
11. c : 27 : w = 1 : √3 : 2
multiply by 27/√3 = 9√3
= 9√3 : 27 : 18√3
c = 9√3, w = 18√3
__
12. x : 36 : y = 1 : √3 : 2
multiply by 36/√3 = 12√3
= 12√3 : 36 : 24√3
x = 12√3, y = 24√3
__
This is easier when the triangle is drawn to clearly differentiate the lengths of the sides. The long leg is opposite the 60° angle; the short leg is opposite the 30° angle.
What is the common denominator method. Pls explain with detail
Answer:
when both bottom numbers on a fraction are the same at the lowest form
Step-by-step explanation:
example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8
A project cost at $160 and add 20% VAT, How much does it change the job?
Answer: 192
Step-by-step explanation:
160 + (20% × 160) =
160 + 20% × 160 =
(1 + 20%) × 160 =
(100% + 20%) × 160 =
120% × 160 =
120 ÷ 100 × 160 =
120 × 160 ÷ 100 =
19,200 ÷ 100 =
Welcomeeee
Find the equation of the line parallel to line h that passes through (–4, 2).
A) y = 1/3x + 10/3
B) y = -1/3x + 2/3
C) y = 3x + 14
D) y = -3x - 10
Answer:
A) y = 1/3x + 10/3
Step-by-step explanation:
Can someone pls help me solved this problem plz! I really need help plz someone help me solved it! I need help ASAP!
Answer:
a) 0
b) 4.5
c) 3
d) 6
Step-by-step explanation:
Formula: 3x + 4y = 12
The questions contains the values of x. So here's an example of:
d) x = -4, y = ?
Using the formula: 3(-4) + 4y = 12
-12 + 4y = 12
4y = 24
y = 6
Do the same for the others!
For the dilation with center (0, 0) shown on the graph, your friend says the scale factor is 4.
Is your friend correct or no? If he is incorrect, What is the correct scale factor? and what mistake did he likely make?
The maximum height of a vehicle that can pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?
Answer:
The truck can not safely pass under the bridge
Step-by-step explanation:
The maximum height in inches is 149in.
12 feet times 12 inches = 144 in
144 +5 = 149in
If the truck is 162 inches than it would not be safe for it to pass under the bridge.
I hope this helps you!
please help me i have been trying this for so long.
Answer:
The value of a is 101°, b is 79°, c is 83° and d is 97°
£580 is divided between Sushil, Fiona & Pip so that Sushil gets twice as much as Fiona, and Fiona gets three times as much as Pip. How much does Fiona get?
Answer:
Fiona gets £ 174
Step-by-step explanation:
Ths problem has three unknowns: the amounts each person gets. So let's identify each amount with a letter to write them in mathematical equation form:
Amount Sushil gets is : "x"
Amount Fiona gets is : "y"
Amount Pip gets is : "z"
Now we write three equations based on the information we have:
1) the addition of all these amounts should equal the 580 total:
x + y + z = 580
2) Sushil (x) gets twice as much as Fiona (y):
x = 2 y
3) Fiona (y) gets three times as much as Pip (z):
y = 3 z
So we can write the first equation in terms of "z" only, by using the appropriate substitutions in the intermediate stes:
Replace every instance of "y" with "3 z":
Equation 2 can give then "x" in terms of "z" as well:
x = 2 y = 2 (3 z) = 6 z
Then Eq 1 becomes:
6 z + 3 z + z = 580
10 z = 580
and therefore:
z = £ 58
Now Fiona's amount (y) is "3 times z", therefore:
y = 3 * 58 = £ 174
The volume of a cube depends on the length of its sides. This can be written
in function notation as ws). What is the best interpretation of v(4) = 64?
Answer:
46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2
A piece of timber is x cm long. 7 cm is cut off. How much is left?
Answer:
x-7>0
Straight answer: x-7
Step-by-step explanation:
Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0
simplify 6^7/6^5 leaving you answer in index form
Answer:
6²
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , thus
[tex]\frac{6^{7} }{6^{5} }[/tex] = [tex]6^{(7-5)}[/tex] = 6²
The answer is 6^2.
What is division?
Division is the process of splitting a number or an amount into equal parts.
here, we have,
6^7/6^5
we know,
a^m/a^n
=a^(m-n)
so, we get,
6^7/6^5
=6^2
hence, The answer is 6^2.
To learn more on division click:
brainly.com/question/21416852
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A new restaurant opens, and on the first night has 100 guests. Each night after that, the number of guests grows by 20 people. What type of sequence does this scenario represent, and why? If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
What type of sequence does this scenario represent, and why?
✔ arithmetic; the sequence has a common difference
If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
✔ 360
This example doesn't accurately depict arithmetic because the succession has a common difference. The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
Calculate arithmetic sequence nth term?Arithmetic sequences always add or subtract the same amount to go from one term to the next. Finding the difference between any AP phrase and its predecessor will reveal the common difference, indicated by the letter "d."
An arithmetic sequence's nth term is determined by, Formula an = a1 + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.
an = 100 + (14 - 1)20.
an = 360
The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
To learn more about Arithmetic sequences nth term refer to:
https://brainly.com/question/7882626
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The second statement is the ___ of the first.
Explanation:
This is for contrapositive negating the converse of the conditional.
Hence,option D is correct.
Hope it helps
Good luck on your assignment
hurrryyyyy!!!! Need answer for work.
Answer:
x<7, The third option
Step-by-step explanation:
-1.1x+6.4>-1.3
We are trying to isolate x so we can move all the constant to one side.
-1.1x>-1.3-6.4
-1.1x>-7.7
Lastly, we need to divide both sides by -1.1.
-1.1x>-7.7/-1.1
Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.
x<7
Hope this helps :)
Answer:
I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...
Item 50
There are 6 green marbles and 7 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answer:
6/13
Step-by-step explanation:
There are 13 marbles total in the bag.
The chance of picking a green marble is 6/13. This fraction cannot be simplified.
What are the possible solutions to this system?
Answer:
x < 6.5
y < -1.5
Step-by-step explanation:
y > x - 8
Therefore x < y + 8
y < 5 - x
Therefore x < 5 - y
2x < 13
x < 6.5
6.5 < 5 - y
y < -1.5
Factor the expression 15x+10 using the GCF.
Help plz ASAP will give brainliest to first who solves!
Answer:
The greatest common factor is 5.
15x+10=5(3x+2)