Answer:
The third number is 195-3x
Step-by-step explanation:
Given:
sum of three numbers, a, b, c is 180.
a=2x-11
b=x-4
c= ?
Solution:
a+b+c = 180
2x-11 + x-4 + c = 180
c = 180 - (2x-11) - (x-4)
= 180 -2x+11 - x+4
= 180 + 11 + 4 -2x -x
= 195 -3x
Answer:
D
Step-by-step explanation:
5-3x>6
Please helppppo please hellppppppp
Step-by-step explanation:
5-3x>6
-3x>1
x<-1/3
got it?
Answer:
2x<6
Step-by-step explanation:
a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle
Answer:
The smallest angle is 32 degrees
Step-by-step explanation:
The given parameters show that the triangle is a right angled triangle;
Let the two other angles be represented by x and y;
Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;
Scenario 1 (Calculating x)
Let opposite = 5 cm
Let adjacent = 8 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;
[tex]Tan\ x = \frac{Opposite}{Adjacent}[/tex]
[tex]Tan\ x = \frac{5}{8}[/tex]
[tex]Tan\ x = 0.625[/tex]
Take arctan of both sides
[tex]x = tan^{-1}0.625[/tex]
[tex]x = 32.0053832081[/tex]
[tex]x = 32[/tex] (Approximated)
Scenario 2 (Calculating y)
Let opposite = 8 cm
Let adjacent = 5 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;
[tex]Tan\ y = \frac{Opposite}{Adjacent}[/tex]
[tex]Tan\ y = \frac{8}{5}[/tex]
[tex]Tan\ y = 1.6[/tex]
Take arctan of both sides
[tex]y = tan^{-1}1.6[/tex]
[tex]y = 57.9946167919[/tex]
[tex]y = 58[/tex] (Approximated)
By comparing the angles, the smallest angle is 32 degrees
Line segment ON is perpendicular to line segment ML.
What is the length of chord ML?
A) 20 units
B) 24 units
C) 26 units
D) 30 units
Answer:
24 units
Step-by-step explanation:
OM = ON, so
OP= 13-8
That means OP is 5.
Using the Pythagorean Theorom to find MP:
5^2+b^2=13^2
25+b^2=169
b^2=169-25
b^2=144
B=12
This means MP =12. ML is twice as long as MP. 12x2=24
The answer is B. 24 units
Which of the following numbers is not part of the solution to x ≤ -2? * -2 * -2.45 * -8 * -1.76
Answer:
-1.76
Step-by-step explanation:
-2 is equal to -2, so it works (greater or less than -2)
-2.45 is less than -2, so it works
-8 is less than -2, so it works
-1.75 is greater than -2, so it doesn't work
What is the value of y in this exponential decay function when x equals 2?
y = 0.3^x
A: 0.9 B: 0.6 C: 0.06 D: 0.09
Answer:
The answer is d
Step-by-step explanation:
0.09
Answer:
[tex]\boxed{\sf D. \ 0.09}[/tex]
Step-by-step explanation:
[tex]\sf y = 0.3^x[/tex]
[tex]\sf Plug \ x \ as \ 2.[/tex]
[tex]\sf y = 0.3^2[/tex]
[tex]\sf y =( \frac{3}{10} )^2[/tex]
[tex]\sf y =\frac{3^2 }{10^2 }[/tex]
[tex]\sf y =\frac{9}{100 }[/tex]
[tex]\sf y =0.09[/tex]
This is probbaility, please just help me. i've been stuck forever!
Your answer would be 0.14 to the nearest hundredth.
The question P(Walk to school | Senior) is asking for the probability that a student walks to school given that they're a senior. Therefore we have to count how many total senior students there are, which is 35.
To form the probability, we then need to see how many of these 35 students walk to school, which we're given as 5. Thus, the probability is 5/35 which simplifies to 1/7.
1/7 as a decimal is 0.1429, which, when rounded to the nearest hundredth, gives us 0.14.
I hope this helps! Let me know if you have any questions :)
Helppp!!!! please!!!
Answer:
[tex]128m^{2}[/tex]
Step-by-step explanation:
[tex]A=\frac{1}{2} (\frac{b}{h} )\\A=\frac{1}{2} (\frac{8}{8} )\\A=\frac{1}{2} (64)\\A= 32 m^{2} \\[/tex]
So, the area of 1 triangle is 32m^2.
To find the whole area, you will have to multiply 32 by 4.
Hence, your answer is [tex]128m^{2}[/tex]
❗️5 points❗️
4. State the slope of the line.
A. 1
B. 0
C. undefined
D. -4
Answer:
C. undefined.
Step-by-step explanation:
Find the slope of the line, using the following equation:
m = (y₂ - y₁)/(x₂ - x₁)
Find two points that are located on the line.
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (-4 , 1)
Plug in the corresponding numbers into the corresponding variables.
m = (1 - 0)/(-4 - (-4))
Note that when you have two negative signs directly next to each other, it becomes an addition:
m = (1)/(-4 + 4) = 1/0
You cannot have a slope of rise 1, run 0, so your answer is undefined.
C. undefined.
~
Please please helpppp helppp helppp❤️
Answer:
774 km
Step-by-step explanation:
Actual distance
[tex] =\frac{4.3}{100000} \times 18000000 \\ \\ = 4.3 \times 180 \\ = 774 \: km[/tex]
1)
4136 mm = 4136/1000 = 4.136 m = 4.14 m
2)
Since 1 yard = 91.44 cm
Hence, 14.7 yard = 14.7*
91.44 = 1,344.168 cm = 1344 cm
3)
342 inches = 9 yards, 1 ft, 6 inches.
Kirk bought 2 1/4 punds of lemons. He used 1/4 of the lemons to make lemonade. Kirk completed his work and found that he hsed 9 pounds of lemons . Did hs do rhe work correctly?
Answer:
How could he have used 9 lbs of lemons when he only went and bought 2 1/4 lbs? So, his work was NOT correct.
Step-by-step explanation:
Answer:
it is d
Step-by-step explanation:
got it right
HELP ASAP HELP PLEASE ASAP
Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using this formula, we get
[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]
[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]
Now,
[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.
X+3y+2z=1
2x-2y-5z=0
-x+2y+4z=1
Step-by-step explanation:
work is shown and pictured
what is the y intercept of the line x -72 -54 -35 y 25 13 1
Answer:
can you retype the equation
I think it is not correctly typed
Jennifer has 75 pounds of strawberry ice cream. Jennifer is going to serve the ice cream at her birthday party. If every serving is $\frac{2}{3}$ of a pound of ice cream, how many servings of strawberry ice cream can Jennifer make? Express your answer as a fraction.
Answer:
²²⁵/₂ servings or 112 ¹/₂ servings
Step-by-step explanation:
assuming that Jennifer will serve ²/₃ of a pound of ice cream per serving, then the maximum amount of servings that she can make = total pounds of ice cream / individual serving of ice cream
= 75 pounds / (²/₃ pound)
= (75 pounds x 3) / 2 pounds
= ²²⁵/₂ servings or 112 ¹/₂ servings
Express 5cm as a fraction of 1m. Pls explain and solve well. Thank u. Anyone that answers will be marked as brainliest answer.
Hello!
Answer:[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]
_____________________________________________Explanation:There are 100 centimetres in a metre. So, our denominator will be 100.
The numerator is 5 because that is the number of centimetres.
⇒ [tex]\frac{5}{100}[/tex]
This fraction can be reduced, since 5 goes into the denominator evenly.
5 ÷ 5 = 1
100 ÷ 5 = 20
So, our reduced fraction is [tex]\frac{1}{20}[/tex]
Twelve members of a band purchase one beverage each during a break at practice. Exactly 5 of the 12 members bought bottled water. At this rate, how many band members would you expect to buy bottled water, if all 168 members purchase a beverage?
Answer:
70
Step-by-step explanation:
You have to use ratios. If 5 of 12 members bought water, then x of 168 members will buy water.
[tex]\frac{5}{12} = \frac{x}{168}\\12x = 840\\x = 70[/tex]
70 members will buy bottled water.
Can someone help me with this question please?
Answer:
If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.
Therefore, the ratio would be 345:575.
Hope this is right and helps :)
insert four irrational numbers between 3 root 2 and 2 root 3
Answer:
3√2 > √17 > √15 > √14 > √13 > 2√3Step-by-step explanation:
[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]
{√16 = 4 is rational}
The three legs of a triangle measure 18, 46, and 3x-5. What are the possible values of x?
a.28
b.11
c. 45
d. 13
Answer:
9. 64
10. 21
11. A (I believe)
Step-by-step explanation:
The first two were simple math problems, however 11. was a bit more complicated and I used logic to find the numbers that best fit into the problem. I am not sure that it is the right answer and if I were you I would wait for someone else to answer this question.
If f(x)=8-10x and g(x)=5x+4, what is he value of (fg)(-2)
Answer:
168
Step-by-step explanation:
We would like to multiply these two expressions together and then substitute -2 in for x to solve.
f(x) * g(x) = (8 - 10x) * (5x + 4)
We will use FOIL (first, outer, inner last):
(8 - 10x) * (5x + 4) = 8 * 5x + 8 * 4 + (-10x) * 5x + (-10x) * 4
Combining terms, we get:
f(x) * g(x) = 32 - 50x²
Plug -2 in for x:
32 - 50 * (-2)² = 32 - 50 * 4 = 32 - 200 = -168
The answer is thus 168.
~ an aesthetics lover
What are the total operating expenses? (This is line (c) on the income statement.)
This is a fill in the blank.
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In this question some information is missing that's why we explain "operating expenses".
The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.
For other companies, these expenses are unavoidable and made mandatory. This cost is primarily important because it helps to evaluate the price effectiveness of the company as well as its inventory control. It also shows the costs and requires a consulting company needs to be making to maximize income, which would be a company's main objective.The variables a and b vary directly. Use the given values for a and b to write an equation relating a and b
a=3; b=15
Answer:
a = 1/5 b
Step-by-step explanation:
A direct variation is given by
a = k*b where k is the constant of variation
3 = k* 15
Divide each side by 15
3/15 = k*15/15
1/5 = k
a = 1/5 b
Answer:
a = 1/5 b
Step-by-step explanation:
Can someone please help me I really need help please help me thank you
Answer:
(-1,-1), (2,1), (5,3)
Step-by-step explanation:
We can use the formula: rise/run to solve x and y. Since we know the slope is 2/3, 2 will be rise (going up on y axis), and 3 will be run (moving right on x axis).
We are given the point, (2,1) which we can use to find the 2 points that are needed. By using rise/run, we can find the highest point which is (5,3)
How to get the highest point:
(2 + 3, 1 + 2)
Now we can find the lowest point: (-1,-1)
(2 - 3, 1 - 2)
Which expression can be used to determine the slope of the linear function represented in the table?
X
0
y
5
9
4
9-5
4-0
4-0
O9-5
5-0
9-4
.
9-4
Answer:
Option (1)
Step-by-step explanation:
This question is incomplete; find the complete question in the attachment.
Given table represents a linear function.
Two ordered pairs given in the table (0, 5) and (4, 9) pass through the function .
If the two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] lie on a line,
Slope of the line will be = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the linear function represented by the table = [tex]\frac{9-5}{4-0}[/tex]
Therefore, Option (1) will be the correct option.
Henry wants to double a cake recipe that uses 2 cups and 10 tbsp of flour. How much flour will he need?
9514 1404 393
Answer:
5 cups and 4 tbsp
Step-by-step explanation:
Double the quantity (2 c, 10 T) is ...
2 × (2 c, 10 T) = (4 c, 20 T)
A cup is equal to 16 tablespoons, so this quantity can be rewritten as ...
(5 c, 4 T)
Five cups and four tablespoons of flour are needed for the double recipe.
Match each polynomial expression to its additive inverse.
6x²-x-2
6x2 - x+2
6x2 - x+2
6x2 + x + 2
6x²+x-2
6x2 + x-2
6x2+x-2
-6,2-x+2
Answer:
Step-by-step explanation:
To find the additive inverse of polynomial expression, flip the sign of each term.
6x² ----> -6x²
-x -----> +x
-2 -----> +2
Additive inverse:
-6x² + x + 2
What is sixty dollars increased by fifteen percent?
Answer:
$69 dollars.
Step-by-step explanation:
$60 dollars increased by 15% is the same as:
60 + 60(.15) = 60(1.15) = $69
A wooden clock is made in the shape of a triangular pyramid. The net of the pyramid is shown. A triangular pyramid. The base has a base of 8 inches and height of 6.9 inches. The 3 sides have a base of 8 inches and height of 7.4 inches. [Not drawn to scale] How much wood is needed to build the clock?
Answer:
116.4 Square Inches
Step-by-step explanation:
Base Area of the Triangular Pyramid
[tex]=\dfrac12 \times 8 \times 6.9\\\\=27.6$ square inches[/tex]
Surface Area of the three sides
[tex]=3 \times \dfrac12 \times 8 \times 7.4\\\\=88.8$ square inches[/tex]
Therefore, the area of wood needed to build the clock
=27.6+88.8
=116.4 Square Inches
Answer:
C
Step-by-step explanation:
I hope it helps
The Mississippi River flows at a rate of 16,790 cubic meters per second. Choose the best approximation of the flow rate of the Mississippi River. Choose 1 answer: A:2 * 10^3 B: 2*10^4
Answer:
B, 2(10^4)
Step-by-step explanation:
2(10^3)= 2000
2(10^4)= 20000
2(10^4) Is closer to 16790 than 2(10^3)
What is the length of arc FE?
Answer:
4.42
Step-by-step explanation:
Angles A and C are identical because the two circles are similar.
The arc length formula is s = rФ, where r is the radius and Ф is the central angle.
If we know s and r, then the central angle Ф is s/r, or, in this case,
Ф = 8.84/5.
Now let's find the length of the arc EF: s = rФ becomes:
s = (2.5)(8.84/5) = 4.42