Inequalities help us to compare two unequal expressions. The options that are correct about the given statement are B, C, and D.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The points that are correct about the given inequality 2(8/9)≥x are:
The graph contains the point 0There is a closed circle on 2 and StartFraction 8 over 9 EndFraction.The arrow points to the left.Hence, the options that are correct about the given statement are B, C, and D.
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34% of the 6th graders and 50% of the 7th graders want to go to the water slides. What percentage of the 8th graders want to go to the water slides?
The percentage of the 8th graders to want to go to the water slides will be 70.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percentage of the 8th graders want to go to the water slides is found from;
[tex]\% (8 ^{th} grade)= 0.46-(0.5 \times 34 \%+0.3 \times 50\%_)\\\\ \% (8 ^{th} grade)=0.46-(0.17+0.15)\\\\ \% (8 ^{th} grade)=0.14\\\\ \% (8 ^{th} grade)= \frac{0.14}{0.20} \\\\ \% (8 ^{th} grade)=70\%[/tex]
Hence, the percentage of the 8th graders to want to go to the water slides will be 70.
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Which sign makes the following statement true? 3.9 _____ 9/10
Answer:
>.
Step-by-step explanation:
3.9 is greater than 9/10 ( = 0.9)
solve for BC without working out the size of angle A
Answer:
BC = 6 units
Given following:
AC = 4 unitstan(A) = 3/2Solve for BC:
Formula:
[tex]\rightarrow \sf tan(A) =\dfrac{opposite}{adjacent}[/tex]
insert values and make them proportional
[tex]\rightarrow \sf tan(A) =\dfrac{BC}{AC} = \dfrac{3}{2} = \dfrac{6}{4}[/tex]
So, BC is 6 units.
Answer:
1) BC = 6
2) B = 33.7° (nearest tenth)
3) [tex]\sf AB=2\sqrt{13}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Question 1Given:
Angle = ASide opposite angle = BCSide adjacent angle = AC = 4Substituting the values into the tan ratio:
[tex]\implies \sf \tan A=\dfrac{BC}{AC}=\dfrac{BC}{4}[/tex]
Given:
[tex]\sf \tan A=\dfrac{3}{2}[/tex]
Therefore:
[tex]\implies \tan \sf A = \tan \sf A[/tex]
[tex]\implies \sf \dfrac{BC}{4}=\dfrac{3}{2}[/tex]
[tex]\implies \sf BC=\dfrac{4 \cdot 3}{2}=6[/tex]
Question 2Given:
Angle = BSide opposite angle = AC = 4Side adjacent angle = BC = 6Substituting the values into the tan ratio and solving for B:
[tex]\implies \sf \tan B=\dfrac{AC}{BC}[/tex]
[tex]\implies \sf \tan B=\dfrac{4}{6}[/tex]
[tex]\implies \sf B=\tan ^{-1}\left(\dfrac{4}{6}\right)[/tex]
[tex]\implies \sf B=33.69006753...^{\circ}[/tex]
[tex]\implies \sf B=33.7^{\circ}\:(nearest\:tenth)[/tex]
Question 3Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AC = 4b = BC = 6c = ABSubstituting the values into the formula and solving for AB:
[tex]\implies \sf AC^2+BC^2=AB^2[/tex]
[tex]\implies \sf 4^2+6^2=AB^2[/tex]
[tex]\implies \sf 16+36=AB^2[/tex]
[tex]\implies \sf AB^2=52[/tex]
[tex]\implies \sf AB=\sqrt{52}[/tex]
[tex]\implies \sf AB=2\sqrt{13}[/tex]
Gasoline cost $0.60 a gallon if a car makes 25 miles to the gallon what is will gasoline for an 800 mile trip cost
Answer:
$19.29
Step-by-step explanation:
800 ÷ 25 = 3232 x 0,60 = $19.20there you have it
- In the 1940s, the U.S. Department of Commerce reported a new way to test the tensile
strength, in pounds per square inch, of concrete. Several samples of concrete specimens
were used to estimate the mean tensile strength of 430 pounds per square inch with a
margin of error of 10 pounds per square inch. After the study was published, another
group proposes to run the same test on concrete specimens but with samples including
many more concrete specimens in each sample. (2 points)
Which of these statements is most likely to be true about the second study?
A. The estimated mean will be greater than 440 pounds per square inch.
B. The margin of error for the second study will likely be around 10 pounds per square inch.
C. The margin of error for the second study will likely be greater than 10 pounds per square inch.
D. The margin of error for the second study will likely be less than 10 pounds per square inch.
Using the Central Limit Theorem, it is found that the statement that is likely to be true about the second study is given by:
D. The margin of error for the second study will likely be less than 10 pounds per square inch.
What does the Central Limit Theorem states?It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
That is, higher sample sizes leads to lower amounts of error, and since the second study has a higher sample size, it should have lower error, hence option D is correct.
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write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist.
The graph is showing the equation of circle x²+y²=4
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.
The equation will be as follows:-
x²+y²=4
Hence the graph is showing the equation of circle x²+y²=4
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The legs of a right triangle are 8 and 9 units long. What is the area of the triangle in square units?
Answer:
Step-by-step explanation:
Area of a triangle is a*b divided by 2
Lets assume a = 8 and b= 9
8 *
9=72
72/2=36
Find the measure of the indicated angle to the nearest degree
Answer:
C
Step-by-step explanation:
All triangles come up to a 180 degrees so you can add and then subtract
Mrs. Peterson needs a piece of rug 28 dm wide and 38 dm long to put on the floor
Of her living room. What is the area of the rug that she needs?
Answer:
1,064dm^2
Step-by-step explanation:
The formula for Area
—> A = lw
Plug our units into the formula
A = 38(28)
A= 1064dm^2
how do you solve x2 – 4 = 5 by graphing the related function
Answer:
see attached
Step-by-step explanation:
The related function we like to graph is the one that has the solutions as its zeros.
__
Subtract 5 from both sides.
x² -9 = 0
This is now in the form ...
f(x) = 0
The related function is then ...
f(x) = x² -9
and its zeros are the solutions to the original equation. The zeros (x-intercepts) of f(x) are x = -3 and x = 3.
__
Additional comment
The second attachment shows a graph of the given equation. Essentially, its graph is two points on the number line: x = -3 and x = 3.
38. Evaluate the expression
52 - (3²+4)
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000
Answer: 490*x + 700y ≤ 4000
It is ≤ as it can either be equal to 4000 per week or less than.
Answer:
B.Step-by-step explanation:
The product of a number and 7 less than the number is 260. Find the numbers.
Answer: 20,-13
Step-by-step explanation:
We can rewrite the problem as an equation. This equation is x(x-7)=260 (x being the mystery number). We can simply this into x^2 -7x=260. We can then rewrite this as x^2 -7x -260=0. We need to find the roots of this quadratic, which are -13 and 20. You can find this by factoring the quadratic.
seth claims that the equation h(x) = 3coz (pi/4(x - 2)) + 3 will model the behavior of a rocking chair just as well as g(x) = 3sin (pi/4x)+3. Use a graphic utility to determine if Seth was correct
A. Yes
B. No
Answer:
yes
Step-by-step explanation:
I just took the assignment and got a 100%
Each of these labelled bags contains two apples.
One bag contains two green apples, another two red apples and the third one green and one red apple.
All three bags are mislabelled. You may look at only one apple from any one of the bags.
Which bag should you select from to be sure you can determine the content of all three bags?
Step-by-step explanation:
I just answered this.
the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".
you need to pick an apple from the originally "red/green" labeled bag.
since that label is wrong, it must be one of the pure color bags.
so, that bag gets the label for the color that we picked.
now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".
the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.
Tom, Lily, and Shelby, competed as a team in a scavenger hunt. They were given a list of items to find around their neighborhood. Together the three of them found every item on the list. Tom found 1/3 of the items, and Lily found 4/9 of the items. Which area model represents the fraction of the item on the list that Shelby found?
The f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.
What is a fraction?A fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's suppose the Total items in the list is x and Shelby found f(x) item.
Tom found 1/3 of the items, and
Lily found 4/9 of the items.
Then,
[tex]\rm f(x) = x - (\dfrac{1}{3}+ \dfrac{4}{9})\\\\\rm f(x) = x - (\dfrac{3+4}{9})\\\\\rm f(x) = x - \dfrac{7}{9}\\\\\\\rm f(x) = \dfrac{9x-7}{9}\\\\[/tex]
Thus, the f(x) represents the fraction of the items on the list that Shelby found if Tom found 1/3 of the items, and Lily found 4/9 of the items.
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Calculate.
35 C12
Note: nCr=r(n=r)!
n!
[tex]\\ \rm\Rrightarrow {}^{35}C_{12}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!(35-12)!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!23!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1.0333148e+40}{12383157381152686026522624000000}[/tex]
[tex]\\ \rm\Rrightarrow 834451800[/tex]
Answer:
834,451,800
Step-by-step explanation:
Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
Binomial Coefficient
[tex]\large \text{$ \rm ^{n}C_r=\dfrac{n!}{(n-r)!r!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{(35-12)!12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}23!12!} $}[/tex][tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{23!12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35 \times 34 \times 33 \times ... \times 25 \times 24}{12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=834451800 $}[/tex]
Help please lol lol :))))
Answer:
is this required answer
Step-by-step explanation:
AB=3x-2
=3*8-2
=22
Answer:
[tex]\huge\boxed{\textbf{AB = 22}}[/tex]
Step-by-step explanation:
Given that:
AB = 3x - 2
Put x = 8
AB = 3(8) - 2
AB = 24 - 2
AB = 22
[tex]\rule[225]{225}{2}[/tex]
Please answer, Thank you. Image below.
I need to find the missing angle, the letter represents the missing angle.
Answer:
88°
Step-by-step explanation:
The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:
46° + 46° + e = 180°
Solving this gets e = 88°.
Can someone please solve this for me using that method thank you I give brainliest
i need help with 7th grade math please need help ASAP + brainleist
Step-by-step explanation:
the area of garden is 970.08
Answer:
970. 08 [tex]ft^2[/tex]
Step-by-step explanation:
The rose garden is made up of 2 shapes: rectangle and a half-circle.
1. We start by finding the area of the rectangle...
[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]2. Then find the area of the half-circle
The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]3. Add the areas together
[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]What is the value of x?
Answer:
a) 20
Step-by-step explanation:
90 - 46 = 44
44 - 4 = 40
40/2 = 20
Tge length of the front page is 30 centimeters and the width is 20 centimeters the side length picture is 7 centimeters
Answer:
A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)
TIMED, PLEASE ANSWER QUICKLY
Given the figure above, which of the following statements is not necessarily true?
A. ZG ZD
B. ABCD HEFG
C. DAGH
D. DCGF
Answer:
A.
Step-by-step explanation:
Mainly because i dont see ZG ZD on the figure.
Answer:
The first answer is Correct answer ZG ZD
please help me do my mathematics assignment experts
Step-by-step explanation:
try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.
number 21 please and thank you
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
sin =opposite/hypotenuse
sinQ=5/6
Which function is increasing on the interval ? (-∞,∞)
A. i(x)=x^2+8x+1
B. G(x)=-4(2^X)
C. F(x)=-3x+7
D. H(x)=2^x-1
x+y=1
3y=-3x+3
I don't know how to do this, I have tried everything, please help.
[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]
now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation
[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]
let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal. So what's the solution to that? well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.
I'm sorry if you can't see the questions fully. But I answered the first and last one.
make x the subject: y=x+p/x-p
step-by-step explanation please
Answer:
x = p + yp / y - 1
Step-by-step explanation:
y = x+p / x-p
y(x-p) = x + p
y(x-p) -x = p
yx - yp - x = p
yx - x = p + yp
x(y - 1) = p + yp
x = p + yp / y - 1
