Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex](4 - \frac{x}{2} ) = 8[/tex]
[tex] - \frac{x}{2} = 8 - 4[/tex]
[tex] - \frac{x}{2} = 4[/tex]
[tex] - 2 \times ( - \frac{x}{2} ) = - 2 \times 4[/tex]
[tex]−1 \times (−x)=−2 \times 4[/tex]
[tex]x=−2 \times 4[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...Ed is ordering magazines online. Each magazine costs $6. Shipping will cost an additional $4 for the entire order. Write an inequality that can be used to find the number of magazines, n , Ed can order if he spends no more than $42. What is the greatest number of magazines Ed can order? Explain your answer.
Answer:
If he spent no more than $42 dollars and the shipping is 6 in addition to the 4 dollars. I think he may be able to get 20 magazines.
Solve for 44.
61°
44 = [?]
O
44/42
58°
Answer:
answer below
Step-by-step explanation:
angles of a Tringle Addup to 180
let <2=x
61+58+x=180
x=180-61-58
x= 61°
now we know that the triangle was an isocelies triangle
<2=61°
But <2 and <4are on a straight line
therefore the sum of the angles are 180
<2+<4=180°
61°+<4=180°
<4=180°-61°
<4=119°
Sally invests £8600 at a simple interest rate of 6% per year.
Work out the value of the investment after 3 years.
Answer:
a =10148
Step-by-step explanation:
A = P (1 + rt)
a= 8600(1+0.06*3)
a = 10148
Which expression gives the length of QR in the triangle shown below?
Answer:
sqrt( 17^2+ 25^2)
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean theorem
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse
Taking the square root of each side
sqrt(a^2+b^2) = QR
sqrt( 17^2+ 25^2) = QR
Answer:
[tex] \small \sf A. \sqrt{25 {}^{2} + 17 {}^{2} } [/tex]
Step-by-step explanation:
Using pythagoras theorem
( Base) ² + ( Perpendicular) ² = (Hypotenuse) ²
( QS)² + ( RS)² = (OR )²
( 25 )² + ( 5 )² = OR²
Taking square root of each side.
[tex] \sqrt{25 {}^{2} + 17 {}^{2} } = \sqrt{OR}[/tex]
[tex] \sqrt{25 {}^{2} + 17 {}^{2} } = {OR}[/tex]
In 1990, a radio costs $25. Now, the radio costs $5. What is the percent of change?
Answer:
20%
Step-by-step explanation:
[tex]\frac{5}{25} =\frac{1}{5}=0.2=20[/tex]%
Answer:
80% decrease
Step-by-step explanation:
take the difference between the two prices and divide it by the original price, then multiply by 100 (to make it a %)
(25-5) / 25
= 20/25
= .8 x 100
= 80% decrease
Solve the inequality
x/4 is greater than or equal to -6
a) x ≤ –24
b) x ≥ 10
c) x ≥ –10
d) x ≥ –24
Answer:
D
Step-by-step explanation:
x/4≥-6
*4 *4
x≥-24
So it's D.
---
hope it helps
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x}{4}\geq-6}[/tex]
[tex]\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{1}{4}x \geq-6}[/tex]
[tex]\large\text{MULTIPLY by 6 to BOTH SIDES}[/tex]
[tex]\mathsf{4\times\dfrac{}{}x \geq 4\times-6}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{4\times\dfrac{1}{4}}\large\text{ because that gives you the value of 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{4\times-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}[/tex]
[tex]\mathsf{4\times-6=\boxed{\bf -24}}[/tex]
[tex]\large\text{So, the number \underline{-24} is being compared to your x-value}[/tex]
[tex]\bullet\large\text{ Your circle is CLOSED and it is shaded to the right side of the}\\\large\text{number}\huge\checkmark\\\\\\\large\textsf{Random fact about the inequality}\uparrow[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf x}\bf \geq\large\textsf{\bf -24 \huge\text{Option D.}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
maeve has 2 cubic meters of soil does she have enough to fill a garden bed with the dimmension 4m by 2 m by 30 cm
Answer:
no
Step-by-step explanation:
cause she will need (4 x 2) X 30
9.
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
A. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 – x – 1
B. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1
C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = –x2 + x – 1
D. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + 2x – 1
Answer:
Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1
Step-by-step explanation:
The answer is A because the axis of symmetry is in between 0 and 1, the vertex lies on 0.5 and -0.75, and the parabola opens down so the coefficient of a is -1, and the y-int or the value of c is -1
The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
Further Explanation:
Given:
Calculation:
The standard form of the parabola is shown below.
Here, the parabola has vertex at and has the symmetry parallel to x-axis and it opens left.
The general form of the parabola can be expressed as follows,
The graph is a downward parabola.
From the graph it has been observed that the vertex of the parabola is
Symmetry of the graph is
The -intercepts of the graph is Therefore, the value of is
The value of is -1 as the graph is a downward parabola.
The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
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2. Learn more about non-collinear brainly.com/question/4165000
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Conic sections
Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.
Math question final part thanks Jim ! :)
Part (e)
See the diagram below that mentions this part.
================================================
Part (f)
See the diagram that mentions this part. It's in a separate image.
The item can be anything really. I'm going to add a trampoline which is a square shown in purple. The square is rotated 45 degrees so it looks like a diamond shape. The rotation isn't necessary but I figured to spice things up compared to the other figures which were mostly squares or rectangles. If we split the purple square into 4 triangles, and apply the pythagorean theorem, then we can find the length of each side of the purple square to be roughly 2.828 cm.
Scaling things up, the trampoline in real life is 2*2.828 = 5.656 meters along each dimension.
With any square the angles are always 90 degrees.
The school events committee is planning to buy a banner and some helium balloons for graduation night. A store charges them $35 for the banner and $3 for each helium balloon. If the committee has at most $125 to spend, how many helium balloons can they buy
Answer:
30 baloons
Step-by-step explanation:
1. Remove the price of the banner from the total amount you can spend. You should then end up with $90
2. Divide 90 by 3, because each balloon costs $3. You should end up with 30.
Answer:
30 balloons
Step-by-step explanation:
Cost of banner = $ 35
Remaining amount after paying for banner = 125 - 35 = $90
Number of balloons = Remaining amount ÷ cost of one balloon
= 90 ÷ 3
= 30
The figure below is a square. Find the length of side xx in simplest radical form with a rational denominator.
Answer: 9√2
Step-by-step explanation:
The length of each side of the square is 109/25 units.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
The length of the diagonal of the square in given figure is 9 units.
Suppose each side of square be x unit.
Apply Pythagoras theorem to obtain length of the side as follows,
x² + x² = 9²
=> 2x² = 81
=> x² = 81/2
=> x = 6.36
= 636/100
= 159/25
Hence, the value of x in the simplest radical form is 6.36 units.
To know more about Pythagoras theorem click on,
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12 is what percent of 14?
Answer:
12 is 85.714285714286% of 14.
Which expression has the greatest value -12 + 6 -14 or 23 -14 + 2 -11
Answer:
-12 + 6 -14
Step-by-step explanation:
M is the midpoint od AN, A has coordinates (-4,-4), and M has coordinates (-7,1). Find the coordinates of N
Answer:
Solution given:
A(x1,y1)=(-4,-4)
M(x,y)=(-7,1)
N(x2,y2(x,y) let
we have
midpoint(x,y)={(x1+x2)/2,(y1+y2)/2}
(-7,1)={(-4+x)/2,(-4+y)/2} comparing corresponding value
-7=(-4+x)/2
-14=-4+x
x=-14+4
x=-10
and
1=(-4+y)/2
2=-4+y
y=4+2
y=6
coordinates of N is (-10,6)
Which one is greater 5.3 or 5 1/3
Answer:
5 1/3 > 5.3
Step-by-step explanation:
1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...
The fraction 5 1/3 is greater than 5.3.
What is a fraction?A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.
For the given situation,
The decimal number is 5.3.
The mixed fraction is 5 1/3.
First, convert this fraction to a decimal number to check which is greater.
[tex]5\frac{1}{3}=\frac{16}{3}[/tex]
⇒ [tex]5.33[/tex]
On comparing these two decimals 5.33 and 5.3, we can conclude that 5 1/3 is greater than 5.3.
Learn more about the fractions here
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What is the complete factorization of x^4-17x^2+16?
Answer:
(x +1) (x-1) (x +4) (x-4)
Step-by-step explanation:
The factorization of x^4-17x^2+16 is
(x+1) (x-1) (x+4) (x-4)
Answer:
(x+4)(x-4)(x+1)(x-1)
Step-by-step explanation:
A lock has a 3-number code made up of 16 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
Answer:
137
Step-by-step explanation:
The number of ways we can choose three different numbers in order for a unique code for this case is 2730
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total number of ways,
⇒ [tex]^{m} C_{k} =[/tex] m! / (m - k)! k!
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
⇒ [tex]^{m} P_{k} =[/tex] m! / (m - k)!
This is called permutation of k items chosen out of m items (all distinct).
Given that:
The considered lock as a 3 number code
There are 15 numbers available.
None of the number can repeat.
In a lock, the order of the way numbers are arranged matters.
Because of no repetition allowed, we can simulate this situation as:
The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.
And we have:
The number of ways we can choose 3 numbers out of 15 numbers with order is,
⇒ [tex]^{m} P_{k} =[/tex] m! / (m - k)!
⇒ [tex]^{15} P_{3} =[/tex] 15! / (15 - 3)!
= 15! / 12!
= 2730
Thus, The number of ways we can choose three different numbers in order for a unique code for this case is 2730
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Find the value of x. Round your answer to the nearest tenth of a unit.
Answer:
Sin31°= 11/x
x = 11/Sin31
x= 21.4. ( Nearest tenth).
Answer:
x ≈ 21.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )
x × sin31° = 11 ( divide both sides by sin31° )
x = [tex]\frac{11}{sin31}[/tex] ≈ 21.4 ( to the nearest tenth )
Another 20 point question I need help with
Answer:
Step-by-step explanation:
Hope this helps u!!
the interest for 3 years on Rs2400is Rs576 find the interest on Rs 4200 for 2 yrs at the same rate of interest
Answer:
Solution given:
time [t]=3years
principal [p]=Rs2400
rate[r]=?
simple interest [S.I]=Rs 576
we have
S.I=ptr/100
576=2400*3*r/100
576=72r
r=576/72
r=8%
now
principal [p]=Rs 4200
time[t]=2years
rate[r]=8%
simple interest [S.I]=?
we have
S.I= ptr/100=4200*2*8/100=Rs 672
The required interest is Rs 672.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
Write what you knkw
all triangles' angles add to 180
180 =x + (106 + 48) solve for x
please help!! I'm really confused
Answer: im on this one too
Step-by-step explanation:
Someone please help me thank
Step-by-step explanation:
since theyre mutliplied you can separate
(125 / 25) x (x^3 / x^4) x (y^5 / y^2)
when you divide exponents, they subtract
Dont be afraid of negative exponents
(125 / 25) x (x^-1 / 1) x ( y^3)
x^-1 = 1/x
solve for 125/25 and put together the fractions
Answer:
[tex]\frac{5y^3}{x^1}[/tex] or [tex]\frac{5y^3}{x}[/tex]
Step-by-step explanation:
125/25 = 5
x³ - x⁴ = x⁻¹
y⁵ - y² = y³
All together; 5x⁻¹y³
Since the answer has to be positive exponents, it would be;
[tex]\frac{5y^3}{x^1}[/tex]
Hope this helps!
PLEASEEE I NEED HELLPPPP
The graph below represents which system of inequalities?
(Answer options at the bottom)
Answer:
The answer is B.
hdjddihfkdhdbfkdudu
Mr. Peterson graded 117 tests in 3 hours. How many tests can he grade in 5 hours?
Answer:
195
Step-by-step explanation:
create a proportion: # tests/time = # tests/time
let 't' = # tests graded
117/3 = t/5
cross-multiply to get:
3t = 585
t = 585/3 which equals 195
NEED HELP ASAP FAST
Sherri has a drawer full of socks, all of which are identical except for the color. The drawer contains only white socks and blue socks.
Sherri determines that the probability of choosing a white pair of socks is 0.65. She states that since the drawer only has white socks and blue socks, the probability of randomly choosing a blue pair of socks must be the same as the probability of randomly choosing a white pair of socks.
Explain why Sherri's reasoning is not correct.
Determine the correct probability of randomly choosing a blue pair of socks.
Answer:
the probability is 50% or 1/2 (equally likely and equally unlikely)
That is because it does not state the amount of socks inside the draw; meaning the answer has to be theoretical.
If the probability is the same, than it has to equal to 100
so we can conclude that 1/2 of the drawer is blue socks and 1/2 is white socks.
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H ,applied to the pot.
When H=6 T=90.
What must the cooker setting be if it takes 5 minutes to boil the water?
Answer:
[tex]1.8[/tex]
Step-by-step explanation:
Since the time for the pot of water to boil is inversely proportional to the cooker setting, H, as one goes up, the other must go down:
[tex]T\propto \frac{1}{H}[/tex]
Convert 5 minutes to seconds:
[tex]5\cdot 60=300\:\mathrm{s}[/tex]
Therefore, from the initial data given (When H=6, T=90), the new time is [tex]\frac{300}{90}=3\frac{1}{3}[/tex] larger. Therefore, H must be [tex]3\frac{1}{3}[/tex] times smaller for them to be inversely proportional.
[tex]H=\frac{6}{3\frac{1}{3}}=\boxed{1.8}[/tex]
evaluate 4m-10-8=-2+12
Answer:
Step-by-step explanation:
4m-10=-2+12
4m=-2+12+10
m=20/4
m=5
Answer: M=7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that dont contain the variable.
What is the solution to –2(8x – 4) < 2x + 5? x > x is greater than StartFraction 1 Over 6 EndFraction. x < x is less than StartFraction 1 Over 6 EndFraction. x > 6 x < 6
Answer:
x > 1/6.
Step-by-step explanation:
–2(8x – 4) < 2x + 5
-16x + 8 < 2x + 5
-18x < -3
x > 1/6.
The solution to the inequality expression is x > 1/6
Given the inequality expression
–2(8x – 4) < 2x + 5
Expand the parenthesis
-16x + 8 < 2x + 5
Subtract 5 from both sides
-16x + 8 - 5 < 2x + 5 - 5
-16x + 3 < 2x
-16x - 2x < -3
-18x < -3
Divide both sides by -18
-18x/-18 > -3/-18
x > 1/6
Hence the solution to the inequality expression is x > 1/6
Learn more on inequality here: https://brainly.com/question/24372553
Which of the following relations is a function?
OA. (3, 4), (-3, 2), (6, 1), (-8, 2)
OB. (6, 1), (-3, 4), (3, 1), (6,2)
OC. (3, 4), (-3, 6), (3, 3), (-8, 2)
OD. (3,0), (-3, 3), (6, 1), (-3,5)
Answer:
A. (3, 4), (-3, 2), (6, 1), (-8, 2)
Step-by-step explanation:
OA. (3, 4), (-3, 2), (6, 1), (-8, 2) - function
OB. (6, 1), (-3, 4), (3, 1), (6,2) - this repeats the x value of 6 to two different y values so it is not a function
OC. (3, 4), (-3, 6), (3, 3), (-8, 2)- this repeats the x value of 3 to two different y values so it is not a function
OD. (3,0), (-3, 3), (6, 1), (-3,5)- this repeats the x value of -3 to two different y values so it is not a function