Answer:
The largest integer that belongs to the interval (-∞, 31] is 31
Step-by-step explanation:
The given interval is (-∞, 31], from which the round bracket indicates that the number next to the bracket is not included in the inequality while the square [] (closed) bracket indicates that the number next to the bracket is included in the inequality
Therefore, 31 is inclusive in the inequality while -∞ is excluded.
The find the largest integer that belongs to the interval (-∞, 31] the numbers are arranged on the number line as follows
The numbers presented in number line form -∞, .....-1, 0, 1, 2,..., 31
Giving 31 as the largest integer in the inequality
(ii) Atrader gets a profit of 20% by selling an item for £ 150. Find the buying in price.
(iii) A bank charges 12% per annum on loans. If a person borrowed a loan of
£ 20000 find the total amount that he has to repay after one year.
(a) Six workers can build a wall in 10 days. At the same rate how many
workers are needed to complet in 4 days.
(c) How many extra workers to be employed ?
Answer:
ii) £120
iii) £2,400
a) 10 workers
c) 4 workers more to be employed.
Step-by-step explanation:
ii) To find the buying price we deduct 20% (percent) from the selling price of £150.
= 20/100 x 150
= £30 (Next we substract this value from the selling price of £150) = €150 - £30 = £120
iii) A 12% interest per annum Implies a 12 percent of the borrowed amount of 20,000, which is calculated as
12% or 12/100 x 20,000 = £2,400
a) Put simply, we create an equation for the problem.
4 men * 10 days = 40 man days.
X men * 4 days = 40 man days.
Let's substitute the equation:
(X/ 4) * (4/ 10) = 40 / 40
(X/4) * 0.4= 1 (collect like terms)
0.4 * x = 4
0.4x/0.4= 4/0.4
x = 10 workers.
(c) 4 extra workers to would need to be employed since we have six already available (10-6=4).
99 students choose to attend one of three after school activities: football, tennis or running.
There are 61 boys.
19 students choose football, of which 5 are girls.
31 students choose tennis.
28 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answer: [tex]\dfrac{49}{99}[/tex]
Step-by-step explanation:
There are 61 boys --> 38 girls
A) 19 chose football: 5 are girls --> 14 are boys
B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis
C) 31 students chose tennis: 5 are girls --> 26 are boys.
D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.
[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}[/tex]
Total running = 21 boys + 28 girls = 49
Total students = 99
[tex]\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}[/tex]
Which is the graph of f(x) = (x - 1)(x + 4)?
4
2
2.
2
4
B
-6
2
X
-2
8
-6
Ty
6
2
Answer:
Its the last option. On the bottom.
Step-by-step explanation:
You need to Solve for x to find the zeroes of the equation.
x-1=0 So one x is at 1.
x+4=0 So the other x is at -4.
This graph is also not negative so it does not get flipped across the x-axis
The graph of the function [tex]f(x) = (x - 1)(x + 4)[/tex] is graph (d)
How to determine the graphThe equation of the function is given as:
[tex]f(x) = (x - 1)(x + 4)[/tex]
From the above function, we have the zeros of the function to be:
1 and -4
This means that:
The graph of the function passes through the x-axis at x =1 and x = -4The graph opens upwardHence, the graph is graph (d)
Read more about quadratic functions at:
https://brainly.com/question/1214333
Help me please ty ty ♀️❤️
Answer:
AHH! Geometry!
Thanks for this problem. Needed to refresh my skill for similarity and rations.
First, notice the lines that are on sides of the triangles. Lines with the same number of marks are the same measure. You may have already known this, but I'll just tell you for reference.
That means both of those pair of sides have equal length. What does this mean though?
Imagine that each of the line segments(the ones with two marks) are... 1 cookie (Their lengths, also, I really want a cookie.)
Now, this is where ratios come into play. Consider only the top triangle to the entire triangle. The Top Triangle has a side with the length of one cookie. That corresponding side on the entire large one is 2 cookies (because they are the same measure, and 1*2=2).
Thus, we can make a ratio, comparing the lengths of a corresponding sides.
(BTW, these are similar triangles, meaning that they have all the same angle measures, but different side lengths.)
[tex]\frac{1Cookie}{2Cookies}[/tex]
Now. (Refer to above) Similar triangles have ratios of similarity. Meaning that: Corresponding sides have a 1/3 ratio. This means, also, that all the other corresponding sides have a 1/3 ratio. Neat, huh?
Putting into other words, we can compare CB and RT with the same 1/2 ratio!(Just cancel out the cookies, its still the same ratio)
Now, that we have all our needed information, let's solve!(Also, remember to match it up properly, or else it won't work: Small triangle side/Small Triangle side=Large Triangle Side/Large Triangle Side, or something like that).
[tex]\frac{1}{3x-8} =\frac{2}{2x+4} \\2x+4=6x-16\\4x=20\\x=5[/tex]
^ ANSWER
So there you go! X is equal to 5. I'm sure you can solve the rest on your own!
Hope this helps!
Stay Safe! I'm going to get that cookie now...
What type of relationship does a correlation coefficient of r = 0.45 indicate? A. Weak negative correlation B. Weak positive correlation C. Strong positive correlation D. Strong negative correlation
Answer:
B
Step-by-step explanation:
Here, we want to know the kind of relationship a correlation value of 0.45 represents
Generally the perfect correlation value is 1, while a correlation score of zero shows no relationship between the two quantities.
Firstly, the value we have is positive, so we have a positive correlation, since it is closer to zero than 1, we can interpret the value as being a weak positive correlation
Answer:
B
Step-by-step explanation:
There are 110 applicants for three cosmetology positions. How many different ways can the three positions be filled? Select one: 215,820 ways 3 ways 1,294,920 ways 1,331,000 ways
Answer: 215,820 ways
Step-by-step explanation:
There are 110 applicants for three cosmetology positions. How many different ways can the three positions be filled?
Number of positions = 110
Number of applicants = 3
Number of way in which the positions can be filled ;
This is a combination problem
nCr = n! ÷ (n-r)! r!
110C3 = 110! ÷ (110 - 3)! 3!
110C3 = 110! ÷ 107! 3!
110C3 = (110 * 109 * 108) / (3 * 2 * 1)
110C3 = 1294920 / 6
= 215820 ways
Math question plz give answer with explanation will report if it is a non-sense answer. I just want to make sure I am doing it right
A rope that is 245 cm long is cut into three pieces. The ratio of the lengths of the first piece to the second piece is 2:3, and the ratio of the lengths of the second piece to the third piece is 4:5. What is the length of the longest of the three pieces?
Answer:
The length of longest piece is 105 cm.
Step-by-step explanation:
Given:
Rope is 245 cm long.
Ratio of lengths of first to second piece = 2:3.
Ratio of lengths of second to third piece = 4:5.
To find:
Length of longest piece = ?
Solution:
We are given the ratio of first and second pieces AND
ratio of second and third pieces.
Common link is second piece.
We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.
2:3
4:5
Multiply 1st ratio by 4 and 2nd ratio by 3:
Now, the ratio becomes:
8:12 and 12:15
And the ratio of three pieces can be represented as:
8: 12: 15, this ratio is the first piece: second piece: third piece
[tex]\Rightarrow 8x+12x+15x = 245\\\Rightarrow 35x = 245\\\Rightarrow x = \dfrac{245}{35}\\\Rightarrow x = 7[/tex]
So, the pieces lengths will be
First piece = [tex]8 \times 7 = 56[/tex] cm
Second piece = [tex]12 \times 7 = 84[/tex] cm
Third piece = [tex]15 \times 7 = 105[/tex] cm
So, the length of longest piece is 105 cm.
h(1) = -26
h(n) = h(n − 1).(-9)
Find an explicit formula for h(n).
Answer:
H(n) = 234⁽ⁿ⁻¹⁾
Step-by-step explanation:
Hello,
The first thing to do when finding an explicit equation is to determine if the sequence is arithmetic or geometric.
In this question, the sequence is a geometric progression.
h(n) = h⁽ⁿ⁻¹⁾.(-9)
a = -26
r = common difference
a(n) =ar⁽ⁿ⁻¹⁾
h(n) = -26 × (-9)hⁿ⁻¹⁾
h(n) = 234⁽ⁿ⁻¹⁾
Answer:
−26⋅(−9) ^n-1
Step-by-step explanation:
Please help me asap!!!
Answer:
HL theorem
Step-by-step explanation:
Since this is a right triangle, we can use the HL ( hypotenuse leg theorem)
We know that one of the legs are equal to each other by the lines on the legs and the hypotenuse is congruent by the reflexive property
Which of the following are solutions to the quadratic equation? Check all that apply.
x2 + x-12 = 0
A. -1
B. 28
C. 2
D. 4
E. 3
F. -4
Answer:
x= -4 x= 3
Step-by-step explanation:
x2 + x-12 = 0
Factor
What 2 numbers multiply to -12 and add to 1
4 * -3 = -12
4+3 = 1
( x+4) ( x-3) =0
Using the zero product property
x= -4 x= 3
Answer:
E, F
Step-by-step explanation:
x² + x - 12 = 0
Let’s factor left side.
Find 2 numbers that multiply to get -12 and add to get 1
4 × -3 = -12
4 + 3 = 1
x² - 3x + 4x - 12 = 0
x(x - 3) + 4(x - 3) = 0
(x + 4)(x - 3) = 0
Set factors equal to 0.
x + 4 = 0
x = -4
x - 3 = 0
x = 3
Pete grabbed 18 mixed nuts, 2/9 of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed? A.18 divided by 2/9 =81
Answer:
18 multiplied by 2/9 = 4
Step-by-step explanation:
To determine the number of almonds that Pete grabbed, you have to multiply how much of the nuts were almonds by the total number of nuts that he grabbed. So,
2/9 × 18
= 0.2222 × 18
= 4
Pete grabbed 4 almonds out of the 18 mixed nuts that he grabbed.
Hope that helps.
Answer:
Amount of almonds = 18 × [2/9]
Amount of almonds = 4 almonds
Step-by-step explanation:
Given:
Number of mixed nuts = 18
Probability of almonds = 2/9
Find:
Amount of almonds
Computation:
Amount of almonds = Number of mixed nuts × Probability of almonds
Amount of almonds = 18 × [2/9]
Amount of almonds = 36 / 4
Amount of almonds = 4 almonds
On Diwali, Ranjana packed 90 chocolates in a box. She has an order of 1875 boxes. How many chocolates does she need to complete the order?
Please write it in academic style, rather than just answer.
Answer: 168,750 chocolates
Step-by-step explanation:
If there are 90 chocolates in a box and there are 1,875 boxes, you multiply 1,875 by 90 to get the total number of chocolates needed to complete the order.
1,875 * 90 = 168,750
There are 168,750 chocolates needed to complete the order.
If Camryan has 12 Tie fighters and Logan has 23 more than Camryan how many Tie fighters does Logan have.
Answer:
logan has 35 Tie fighters
Step-by-step explanation:
Camryan has 12
Logan has 23 more
23+12=35
hope i helped
-lvr
se technology to solve 4x−11=3.2x+13. Enter the solutions in the boxes. Write the lesser solution first. Round to the nearest tenth if needed.
Answer: x=30
Step-by-step explanation: if you were looking for the value of x, hope this helps!
first, you have to make sure that the correct values are on the right side to allow us to find the answer faster and easier. your modified formula should look like this: 4x-3.2x=11+13
if you do the operations on each side, it will look like this: 0.8x=24, from here, all you have to do now is divide 24 by 0.8 to get the X value, which will result in 30!
|x–5|=–5 plzz help me
Answer:
(0-5)=-5
-5-5 = 0
x=0
Step-by-step explanation:
Determine the equation of the line that is parallel to y=23x+4 and passes through the point (3,7).
Answer: y = 23x - 62
Step-by-step explanation:
Parallel lines have the same slope.
y = 23x + 4
m=23 b=4
Input x = 3, y = 7, & m = 23 into the Point-Slope formula to find the equation or the Slope-Intercept formula to find b (you already have m). I will choose the latter.
y = mx + b
7 = 23(3) + b
7 = 69 + b
-62 = b
m = 23, b = -62 --> y = 23x - 62
Which phrase matches the expression p+7? A. 7 minus p B. the difference of 7 and p C. the quotient of p and 7 D. the sum of p and 7
Answer:
the sum of p amd 7
hopefully this helped :3
Answer:
D
Step-by-step explanation:
Since addings answer is a sum
p+7
D
Simplify (4x − 6) + (3x + 6). 7x 7x − 12 x 7x + 12
Answer:
7xStep-by-step explanation:
[tex]\left(4x-6\right)+\left(3x+6\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4x-6+3x+6\\Group\:like\:terms\\=4x+3x-6+6\\\mathrm{Add\:similar\:elements:}\:4x+3x=7x\\=7x-6+6\\-6+6=0\\\\=7x[/tex]
Answer:
7x
Step-by-step explanation:
i took the test
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 57:18 Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth? 13.0 units 28.8 units 31.2 units 33.8 units
Answer:
28.8 units
Step-by-step explanation:
In order to further explain the description of the right angled triangle ABC above, I have attached a hand drawn diagram for easier understanding.
The length of A D is 5 units
The length of B D is 12 units.
From the above triangle ABC, to solve for BC we have the following ratios.
BD : BC = AD : BD
Hence,
BD/ BC = AD/BD
= 12/BC = 5/12
Cross Multiply
12× 12 = BC × 5
BC = 12 × 12/ 5
BC = 144/5
BC = 28.8 units
Therefore, the length of Line segment B C, rounded to the nearest tenth is 28.8 units
Answer:
c.31.2
Step-by-step explanation:
Please answer this question now in two minutes
Answer:
q = 4 mi
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
[tex]\sqrt{2}[/tex] × q = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
q = 4
I need the answers to the questions highlighted with the black rectangles.
Answer:
b) P(more than 10) = 2/9
c) P(less than 7) = 2/9
Step-by-step explanation:
a) Yaniq spins both spinners and then adds up the results together.
The results are as follow:
5
7
9
6
8
10
7
9
10
These are a total of 9 outcomes.
b) What is the probability that Yaniq gets a total of more than 9?
The probability is given by
P = Number of favorable outcomes/Total number of outcomes
For this case, the favorable outcomes are all those outcomes where the total score is more than 9.
Count the number of times Yaniq got a score of more than 9.
Yes right!
2 times (10 and 10)
P(more than 10) = 2/9
c) What is the probability that Yaniq gets a total of less than 7?
For this case, the favorable outcomes are all those outcomes where the total score is less than 7.
Count the number of times Yaniq got a score of less than 7.
Yes right!
2 times (5 and 6)
P(less than 7) = 2/9
ERROR ANALYSIS Describe and correct the error
in finding the value of c that makes the expression a
perfect square trinomial.
x² + 30x + c
Х
x2 + 30x +
30
2
x2 + 30x + 15
La picture of your work or type your work.
Step-by-step explanation:
Our polynomial is x²+30x +c with a missing value c
c should make this polynomial expression a perfect square
Write the expression with a decreasing order of degreesx²+ 30x+c
write the terms as factorsx² + 2*15*x +c
notice that the in the middle we have 2*15*x so our third term will be 15²x²+2*15*x+15² ⇒ c = 15²=225
arrange your perfect square(x+15)²
Find the length of AC round to the nearest hundred
Answer:
Option B. 9.11
Step-by-step explanation:
To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.
The value of θ can be obtained as follow:
θ + 39° + 120° = 180° (sum of angles in a triangle)
θ + 159° = 180°
Collect like terms
θ = 180° – 159°
θ = 21°
Thus, we can obtain the length of line AB by using sine rule as illustrated below:
b/Sine B = c/Sine C
b = 16
Angle B = 39°
Sine C = 21°
c =?
b/Sine B = c/Sine C
16/Sine 39° = c/Sine 21°
Cross multiply
c × Sine 39° = 16 × Sine 21°
Divide both side by Sine 39°
c = (16 × Sine 21°) / Sine 39°
c = 9.11
Therefore, the length of line AB is 9.11
WILL GIVE BRAINLIEST PLZ HELP
Answer:
y = -5x - 9.
Step-by-step explanation:
(-2, 1)
(0, -9)
(1 - -9) / (-2 - 0) = (1 + 9) / (-2) = 10 / (-2) = 5 / (-1) = -5
Since -5 is the slope, and the y-intercept is at (0, -9), we have an equation of y = -5x - 9.
Hope this helps!
Answer:
y=-5x-9
Step-by-step explanation:
Change in x = +2
Change in y=-10
-10/2=-5
m=-5
plug in an point
example:
1=-5(2)+B
B=-9
To check your answer:
y=-5x-9
plug in an point for x given on the chart:
-5(0)-9=-9
Which is the graph of linear inequality 6x + 2y > -10?
Answer:
The top left one.
Step-by-step explanation:
Fix this into y intercept form: y=mx+b
y>-3x-5
Because y is greater than 3x-5, the shaded area should be positive, so the top right and the bottom right will be eliminated. Now, looking at the y intercept which is the 'b' in the equation, it is -5. So the y intercept on the graph should be on negative 5, which means that the top left one is the correct answer!
Hope this helped, BRAINLIEST would really help me:)
Option 1 is the correct choice.
We have a linear inequality -
6x + 2y > -10
We have to determine which of the following graphs depicts the inequality given above.
What is an Inequality?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.
According to the question, we have -
6x + 2y > -10
Add - 6x on both sides of inequality, we get -
- 6x + 6x + 2y > - 10 - 6x
2y > - 6x - 10
Dividing both sides of the inequality by 2, we get -
y > - 3x - 5
Now, in order to plot the graph for this inequality, let -
y = - 3x - 5
Plot the line for the above equation. Remember to plot the graph in the form of dashed line since the inequality is strict inequality.
Consider the point (0, 0) -
Solve the inequality for the point (0, 0), we get -
0 > - 3 x 0 - 5
0 > - 5
Which is true.
Hence, shade the complete area on that side of line where the point
(0, 0) lies.
Therefore, Option 1 is the correct choice.
(Refer the image attached, for reference)
To solve more questions on Plotting inequalities, visit the link below -
https://brainly.com/question/1782515
#SPJ6
The number of people entering a state park is a random variable X with a mean of 3 and a variance of 2. The admission to the park is $6 per car plus an additional $1.50 per person in the car. What is the mean of the total amount of money collected for a car entering the park
Answer: $10.50
Step-by-step explanation:
Given the following :
Number of people entering the park = X
Mean number of people = 3
Fixed admission fee = $6
Additional fee per passenger = $1.50
Therefore, mean total paid by a car entering the park :
MEAN Total = Admission fee + (additional fee * mean number of people entering the park)
mean Total = $6 + ($1.50 * 3)
Mean total = $6 + $4.50 = $10.50
Use multiplication to solve the proportion
7/16 = x/4
Answer:
7/16=x/4
4 times 7/16= 4 times x/4
7/4=x
Step-by-step explanation:
Answer:
1.75Step-by-step explanation:
[tex] \frac{7}{16} = \frac{x}{4} [/tex]
Apply cross product property
[tex]16 x = 7 \times 4[/tex]
Multiply the numbers
[tex]16x = 28[/tex]
Divide both sides of the equation by 16
[tex] \frac{16x}{16} = \frac{28}{16} [/tex]
Calculate
[tex]x = 1.75[/tex]
Hope this helps...
Best regards!!
Which of the following best describes the slope of the line below?
Answer:
I think positive
Step-by-step explanation:
Answer:
zero, D
Step-by-step explanation:
a horizontal line (left to right) would be zero
a verticle line (up and down) would be undifined
Write the equation for a parabola with a focus at (-2,5) and a directrix at x=3 Answer has to be in Y=____ Format
Answer:
Step-by-step explanation:
The vertex of a parabola is directly in between the focus and the directrix. That means that the vertex of this parabola is at (1/2, 5). A parabola wraps itself around the focus and away from the directrix, so this parabola opens to the left. One other thing that we need to know is the distance between the vertex and the focus, the p value in the equation. So here's the equation we need (it's not a y= equation, though):
[tex]-(y-k)^2=4p(x-h)[/tex]
So here's what we know from the info above:
p = 5/2
h = 1/2
k = 5
and filling in:
[tex]-(y-5)^2=4(\frac{5}{2})(x-\frac{1}{2})[/tex] and simplifying:
[tex]-(y-5)^2=10(x-\frac{1}{2})[/tex] and then solving for x:
[tex]-\frac{1}{10}(y-5)^2+\frac{1}{2}=x[/tex]