Answer:
Option A: x = -10 is a solution.
Step-by-step explanation:
Here we have the inequality:
3*(x - 4) ≥ 5*x + 2
We can solve this for x as follows:
first, expand the left side:
3x - 12 ≥ 5x + 2
now, move all the terms with x to one side, and the other terms to the other side:
-12 - 2 ≥ 5x - 3x
-14 ≥ 2x
now let's divide both sides by 2
-14/2 ≥ 2x/2
-7 ≥ x
So the solutions are values smaller than -7
In the options, the only value smaller than -7 is the first one:
A: -10
Then the correct option is A.
Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}
Answer:
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
Step-by-step explanation:
Given
[tex]\{(5, -9), (6, -6), (-3, 8), (9, -6)\}[/tex]
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
[tex]\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}[/tex]
[tex]\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}[/tex]
Required
Which is not a function
An ordered pair is represented as:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}[/tex]
However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)
From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.
A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $68,000
C. $5,440
D. $67,200
Answer:
Option A, $65,280
Step-by-step explanation:
The volume of the tank is,
12×20×15+40×(50-15)×12
= 3600+16800
=20400 cubic meters
For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,
20400×$3.20
= $65,280
Answered by GAUTHMATH
. It is known that the glucose level in blood of diabetic persons follows a normal distribution model with mean 106 mg/100 ml and standard deviation 8 mg/100 ml. a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml. b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
Answer:
a. 0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. 0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 106 mg/100 ml and standard deviation 8 mg/100 ml
This means that [tex]\mu = 106, \sigma = 8[/tex]
a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
This is the p-value of Z when X = 120. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
The proportion is the p-value of Z when X = 120 subtracted by the p-value of Z when X = 90. So
X = 120
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
X = 90
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
0.9599 - 0.0228 = 0.9371
0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
What is the volume of the cylinder to the nearest whole number?
Answer:
[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]
The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?
Answer:
28units consumed in month
Step-by-step explanation:
20unit=20×3=60rs
now service charge +60rs=110
similary total paid=166
now 166-110=56
and 56/7=8unit
since total unit=28unit
Fifty seven thousand nine hundred and eight
Answer:
Fifty seven thousand nine hundred and eight
57908
Lines L and M are parallel.
Help I’ll make u brainliest if it’s right!!
Answer:
∠3 = 142°
Step-by-step explanation:
L // M
∠2 = 38° {Corresponding angles are congruent}
∠2 + ∠3 = 180 {Linear pair}
38 + ∠3 = 180
∠3 = 180 - 38
∠3 = 142°
the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38
álgebra 1 solve
0.1 + 0.008 = 0.06 − 0.172
Answer:
x = -4.5
Step-by-step explanation:
Given:
0.1x + 0.008 = 0.06x − 0.172
Collect like terms
0.1x - 0.06x = -0.172 - 0.008
0.04x = - 0.18
x = -0.18/0.04
x = -4.5
Check:
0.1x + 0.008 = 0.06x − 0.172
0.1(-4.5) + 0.008 = 0.06(-4.5) - 0.172
- 0.45 + 0.008 = -0.27 - 0.172
-0.442 = -0.442
Instructions: Find the measure of
Answer:
93
Step-by-step explanation:
Add the two angles 48 and 39 =87. 180-87=93
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?
Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Given:
The given expression is:
[tex](-4x+9)^2[/tex]
According to Kylie,
[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]
[tex](-4x+9)^2=16x^2+81[/tex]
To find:
The correct statement for Kylie's explanation.
Solution:
We have,
[tex](-4x+9)^2[/tex]
According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].
[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]
[tex](-4x+9)^2=16x^2-72x+81[/tex]
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Therefore, the correct option is C.
Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Step-by-step explanation:
225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the second division were 4.5. If 25 students passed in the third division and 29 students failed in the examination, find (i) the number of students who passed in the first and in the second division (ii) The ratio of the number of students who passed in the first second and in the third division.
(i) the number of students who passed in the first and in the second division
76+95=171 students
(ii) The ratio of the number of students who passed in the first second and in the third division.
RATIO is 4:5:(25/19) or 4:5: 1.3157894…….
225-29=196 (29students failed)
196-25=171. (Subtract 25 students from the 3rd division)
4x+5x= 171 (171 students from 1st and second division)
9x=171
X=19
4x19=76 5x19= 95 1.31578.....x19= 25
What is value of x?
Enter your answer in the box.
There are 2 boys for every 3 girls in Mrs. Sorrentino's class. If there are 30 students in the class, what percentage are boys?
A:20
B:25
C:30
D:33
E:40
which expression is equivalent to 100 + 20
Answer:
20(5+1) is equivalent to 100 + 20
Answer: 20 (5 + 1)
Step-by-step explanation: 20 x 5 = 100
20 x 1 = 20
hopefully that helped :)
The sum of a number and nine is fifteen
Write an equation to represent the sentence
Answer:
x+9=15
Step-by-step explanation:
a number plus 9 is fifteen
let x represent the unknown number
x+9=15
:) ur welcome
hope this helped
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
2
Step-by-step explanation:
can someone help me to solve this question. the questions is about to calculate the value of x . please help me thankyou
Answer:
180-(63+63)
=180-126
=54
180-(37+90)
180-127
53
180-(54+53)
=180-107
=73°
Answer:
Step-by-step explanation:
AC = AD So, Δ ACD is as isosceles triangle.
∠ADC ≅∠ACD = 63°
In ΔACD ,
63 + 63 + ∠DAC = 180 {Angle sum property of triangle}
126 + ∠DAC = 180
∠DAC = 180- 126
∠DAC = 54°
In ΔABC,
90+ 37 + ∠CAB = 180
127 + ∠CAB = 180
∠CAB = 180 - 127
∠CAB = 53
∠EAD + ∠DAC + ∠CAB = 180 {Straight line angles}
x + 54 + 53 = 180
x + 107 = 180
x = 180 -107
x = 73°
pls help me i’m so stuck
Answer:
Step-by-step explanation:
If a point (x, y) is reflected across y = -x, coordinates of the image point will be,
(x, y)→ (-y, -x)
Following this rule,
Vertices of the triangle will be,
(3, 1) → (-1, -3)
(3, -2) → (2, -3)
(6, -3) → (3, -6)
Therefore, image of the given triangle A will be,
(-1, -3), (2, -3) and (3, -6)
Ah what is the length of XB? I really need to learn how to solve this
Answer:
5.28
Step-by-step explanation:
we use the formula
H²=B²+P²
and we will get the answer
branliest if it is helpful
Answer:
Angle BXY
using pythogoras theory which is
hyp*2= opp*2 +adj*2
hypothenus being the longest part of the angle BX=?
Step-by-step explanation:
hyp= 4.2*2+ 3.2*2
hyp*2 =17.64 + 10.24
hyp*2 = 27.88
hyp =√27.88
hyp=5.28...Ans
note *2...square
What is the slope of the line? What is the y-intercept of the line? y = -3x + 4
Answer:
slope= -3/1
y-intercept= 4
Answer:
m = -3
y intercept = 4
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = -3x+4[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = -3 [/tex]
[tex]\implies y - intercept= 4 [/tex]
11t - 6t = 45 solve the equation and enter the value of t below
Answer:
[tex]t = 9[/tex]
Step-by-step explanation:
[tex]11t - 6t = 45[/tex]
[tex]5t = 45[/tex]
[tex]t = \frac{45}{5} [/tex][tex]t = 9[/tex]
Hope it is helpful....Hey there!
[tex]\large\textsf{11t - 6t = 45}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]
[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]
[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]
[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]
[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
true or false? A circle could be circumscribed about the quadrilateral below.
Answer: the answer is true
Answer:
false
Step-by-step explanation:
here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed
Determine the area of the triangle.
96.0 square units
16.9 square units
192.0 square units
97.5 square units
Answer:
A. 96.0 square units
Step-by-step explanation:
The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:
A = ½*a*b*Sin C
Where,
a = 13
b = 15
C = 80°
Plug in the values into the formula
A = ½*13*15*Sin 80
A = 96.0187559
A = 96.0 square units (nearest tenth)
Answer:A
Step-by-step explanation: I took the test
car travels at an average speed of 40 km/h for 0.5 hours.
How far did the car travel in km?
Given :-
A car travels at an average speed of 40 km/h for 0.5 hours.To Find :-
The distance travelled.Solution :-
We know that ,
→ Distance = Speed × Time
So that ,
→ Distance = 40 km/hr × 0.5 hr
→ Distance = 40km/hr × 1/2 hr
→ Distance = 20km .
Hence the required answer is 20km .
Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?
Answer: The amount of salat received by each guest is 0.25 kg
Step-by-step explanation:
We are given:
Mass of the fruit salad prepared = 4 kg
Total number of guests = 16
As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.
Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]
Hence, the amount of salat received by each guest is 0.25 kg
Anybody please help me with question 3-5, thank you so much!!! You are a life saver :))))
Answer:
3) 109.27
4) 58.80
5) 48.65
Step-by-step explanation:
First divide the cost by the number of units to get the individual cost of each item.
Then multiply by the new number of units.
For example: 78.05 ÷ 5 = 15.61 for each.
15.61 x 7 = 109.27
use r =27 & x =3
[tex]-\frac{r}{9}+ 5x[/tex]
Answer:
12
Step-by-step explanation:
First substitute the equation with the variable replacements given:
-r/9 + 5x <--- Before
-27/9 + 5(3) <--- After
Next Solve the parts of the Equation
-27/9 + 5(3)
-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.
= 12 <--- 15 - 3 = 12.
I hope this helps!
Answer:
12
Step-by-step explanation:
[tex]-\frac{27}{9}+5(3)[/tex]
- 3 + 15
15 - 3
12
Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse
Answer:
A
Step-by-step explanation:
Because 113 %45*45 that gives you isosceles
Answer:isosceles and right.
Step-by-step explanation:
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E.
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Line Graph: (no. 6-10) 5
Can some help me with this question?
Answer:
B.
Step-by-step explanation:
f(t) = 5 * 2^t
At the y-intercept, t = 0.
f(0) = 5 * 2^0
f(0) = 5 * 1
f(0) = 5
At time = 0, the coin is worth $5.
The value of the y-intercept is the value of the coin at time = 0, which is when the coin was purchased.
Answer: B.
