Answer:
x = -14
Step-by-step explanation:
-3(x + 9) = 15Divide each side by -3.
-3(x + 9)/-3 = 15/-3x + 9 = -5Subtract 9 from each side.
x + 9 - 9 = -5 - 9x = -14Answer:
x = -14
Step-by-step explanation:
-3(x + 9) = 15
-3 × x + -3 × 9 = 15-3x + (-27) = 15+27 on both sides-3x = 42[tex] \frac{ - 3x}{ - 3} = \frac{42}{ - 3} [/tex]x = -14diring the repair the mechanics will need to connect a cable between chairs b and j, and then continue that cable to chair g. what is the anhle formed by the cable
The angle that will be formed by the cable based on the information given will be 15°.
How to calculate the angle?From the complete information, it's important to divide the total angle by 12. This will be:
= 360°/12 = 30°
Then, the relations that will be used will be:
= 1/2(60° - 30°)
= 1/2 × 30°
= 15°
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Please Help I Don't Understand!
Answer:
the aa similarity postulate
Step-by-step explanation:
no sides are given and we can not simply assume the sides are congruent, however we do know two of the angles on both triangles are the same allowing us to know that the third therefore must also be the same.
both traingles share angle MAN
and AMN and ABC are equal so therefore
angle ANM and ACB must also be the same
Rewrite 4-3.4-18 using positive exponents.
Answer:
Step-by-step explanation:
4^-3
= 1/4^3
4^-18
= 1/4^18.
3 + 4ab+ 4ab - 5b + m
Number of terms:
Coefficients:
Constant terms:
Somebody help me
Answers:
Number of terms: 5Coefficients: 4, 4, -5 and 1Constant term: 3===================================================
Explanation:
Each term is separated by a plus sign or a minus sign. We could rewrite the 4ab-5b portion as 4ab + (-5b) to help get everything separated by a plus sign.
The five terms are
34ab4ab-5bmThe coefficients are the numbers just to the left of the variable. For a term like 4ab, the coefficient is 4. For the term "m", we can think of it as 1m so we can see it has a coefficient of 1.
The constant term is the term that doesn't have any variable attached to it. That would be the "3" as the first term.
The number of 22 cent stamps, n, can be found by solving the equation: 22n + 17(20 − n) = 400
How many 22 cent stamps are in the book?
Answer:
12
Step-by-step explanation:
22n + 17(20 - n) = 400 ← distribute parenthesis and simplify left side
22n + 340 - 17n = 400
5n + 340 = 400 ( subtract 340 from both sides )
5n = 60 ( divide both sides by 5 )
n = 12
there are 12, 22 cent stamps in the book
HI IM GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN AND HELP
Answer:
∠FDE or ∠GDA
Step-by-step explanation:
The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.
Here, in this diagram, there are 2 adjacent angles for ∠FDG :
∠FDE∠GDAPLEASE ANSWER ASAP!!!!!!!!!!
Step-by-step explanation:
sqrt(5x - 2) <= 3
5x - 2 <= 9
5x <= 11
x <= 11/5
but also : 5x -2 >= 0
otherwise the square root is not valid for real numbers.
5x >= 2
x >= 2/5
so the solution is for all x out of R (real numbers), where
2/5 <= x <= 11/5
There are 48 cards in a pack and each card is either red or black.
The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.
Answer:
2 : 3
Step-by-step explanation:
Given :
Ratio of black cards and red cards = 1 : 1Total cards = 48Solving :
Let the cards be denoted by xx + x = 48x = 24 of each (red and black)8 red cards have been removed from the pack.
So, now the ratio is :
Red : Black = 24 - 8 : 24Red : Black = 16 : 24Red : Black = 2 : 33
x + 2
3
3
12
32
12
Solve for x.
Answer:
6
explanation
[tex]since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6[/tex]
what are the solutions to 0=x^2-x+1?
Answer: No solutions
Step-by-step explanation:
There are no solutions to 0 = x² - x + 1.
[Method One]
We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.
[Method Two]
I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\displaystyle x=\frac{1\pm\sqrt{(-1)^2-4(1)(1)} }{2(1)}[/tex]
[tex]\displaystyle x=\frac{1\pm\sqrt{-3} }{2}[/tex]
-> Negative numbers don't have real square roots, so there is no solution
i need help please on PART B Thanks
Answer:
(a) 1 and 8
(d) 64 and 125
Step-by-step explanation:
In addition to the cubes of 2 through 11 that you found in question 1, it is convenient to add 1³ = 1 to the list for the purpose of answering this question. The cubes of the first 11 integers are ...
1, 8, 27, 64, 125, 216, 343. 512, 729, 1000, 1331
__
This question is asking you to find the numbers on either side of any that are not on the list:
(a) 2 is between 1 and 8
(d) 100 is between 64 and 125
How many times can you subtract the number five from 25.
Answer:
one time
Step-by-step explanation:
because after that you would subtract by 20
is (125xy)a binomial or trinomial or monomial or polynomial
Answer:
monomial
Step-by-step explanation:
it is correct
Find the center and radius of the circle represented by the equation below.
Answer:
Centre (5,-9) and radius is 14
Step-by-step explanation:
The circle equation is of form,
[tex] = > {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]
where centre is (a,b) and radius is 'r'.
Evan also has a bag of apples that weighs 3.545 lb is the value of the 5 digit in the tenths place of 3.545 is how many times the value of the digit in the five in the thousands place
Answer:
Yes, it is in the tenth place, and it is 5 thousand is 10,000 times more than the 5 in the tenth place
Step-by-step explanation:
3 = ones place
.5 = tenths place
.04 = hundredths place
.005 = thousandth place
for the second question all you need to do it
5000 divided by .5 = 10000 (because they both have 5, don't try this if there are :example: 4 in the hundreds place to 3 in the one's place).
Answer:
The value of the 5 in the tenths place of 3.545 is 10 times the value of the 5 in the thousandths place
Step-by-step explanation:
i did the end of the year test for k12. good luck on your grade and i hope that this is right!
Need help with this problem
It is believed that the best angle to fly a kite is 30 degrees. If you fly a kite at this angle and let out 200 feet of string, approximately how high above the ground will the kite be?
Answer:
200 feet of the ground at a thirty degrees angle does not make a difference .
u need to know whether it is the top or bottom of it, the kite
a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillian measures an angle of depression to the boat at point A to be 10°. At some later time, Lillian takes another measurement and finds the angle of depression to the boat (now at point B) to be 68°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
A.) The distance between the boat and the lighthouse when the angle of depression is 10°.
Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(10°) = 822.336ft
B.) The distance between the boat and the lighthouse when the angle of depression is 68°.
Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(68°) = 58.584ft
The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft
Hence, the distance from point A to point B is 763.752ft.
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Answer:
764
Step-by-step explanation:
Rounded. Just did the question
PLS HELP
A bag that holds 9 oranges, 4 plums, and 7 apples. A fruit is drawn at random. What is the probability that it is NOT a plum.
Answer:
80%
Step-by-step explanation:
9 + 4 + 7 = 20
1 out of 20 = 5%
4 plums = 20%
Answer:
4/5 or 80%
Step-by-step explanation:
So u add up all the fruits which is 20. And then then u make a fraction which is all fruits but not plums over all fruits. So it is 16/20. The 16 came from not having the plums bc there are 4 plums and 20 - 4 = 16. Simplified of 16/20 is 4/5 or %80.
is 3/8 Equivalent to 4/3?
is 4/8 Equivalent to 4/3?
is 6/8 Equivalent to 4/3?
is 7/8 Equivalent to 4/3?
Answer:
all are NO
Step-by-step explanation:
No integer ratio with 8 in the denominator can be equal to any integer ratio with 3 in the denominator.
__
The denominators 8 and 3 are relatively prime, so equivalent fractions using them cannot be formed with integers.
The equivalent to 4/3 has a mixed-number numerator that is greater than 8.
[tex]\dfrac{4}{3}=\dfrac{10\frac{2}{3}}{8}[/tex]
This matches none of the offered choices.
the area of the trapezoid is 40 square millmeter
Answer: what is the question? I will gladly sovle it
Step-by-step explanation:
tell me your questions and i will solve it asap. i know the area is 40 square millmetres but if you have a question i will gladly answer it.
Given: f(x) = -2x² +x+6
5.1 Calculate the coordinates of the turning point of f.
Answer:
[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]
Step-by-step explanation:
Turning points (stationary points) occur when the gradient of a graph is zero.
To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.
Given function:
[tex]f(x)=-2x^2+x+6[/tex]
Differentiate:
[tex]\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)[/tex]
[tex]\implies f'(x)=-4x+1[/tex]
Set the differentiated function to zero and solve for x:
[tex]\implies f'(x)=0[/tex]
[tex]\implies -4x+1=0[/tex]
[tex]\implies 4x=1[/tex]
[tex]\implies x=\dfrac{1}{4}[/tex]
To find the y-coordinate, input the found value of y into the given function:
[tex]\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6[/tex]
[tex]\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}[/tex]
Therefore, the turning point of the function is:
[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]
answers
f=1/4=49/8
Step-by-step explanation:
identify the coefficients
a=-2, b=1
substitute the coefficient into the expression
x= -1/((2x(-2))
then solve it out the equation
x=1/4
evaluate the function x =1/4
f(x) =-2x²+x+6(1/4)
f=1/4=49/8
In the following exercises, write the first five terms of the sequence whose general term is given.
240. [tex]a_{n}=7 n-5[/tex]
Answer:
2, 9 , 16 , 23 , 30 ......
Step-by-step explanation:
[tex]a_n = 7n - 5[/tex]
[tex]a_1 = 7*1 - 5 = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30[/tex]
Mary bought an aquarium that is cuboid in shape. The bottom is a rectangle with sides of 50 cm and 70 cm. The height of the aquarium is 4 dm. Find how many gallons of water this aquarium can hold. How much a square decimeter of glass was used to make the aquarium when it was open at the top and the bottom was plastic?
Answer:
Area of the paper required =7000 cm²
Step-by-step explanation:
Dimensions of an Aquarium:
Length (l) = 80 cm,
Breadth (b) = 30 cm,
Height (h) = 40 cm
/* According to the problem given,
Area of the paper required =
Area of the base + 2×Area of two side faces + Area of the back side
(Front side should be visible,So, it is not covered )
= lb+2×bh+lh
= 80×30+2×(30×40)+80×40
= 2400+2×1200+3200
= 2400+2400+3200
= 7000 cm²
Therefore,
Area of the paper required =7000 cm²
Step-by-step explanation:
please help!! geometry problem need asap
Answer:
Step-by-step explanation:
please answer asap!!!!!
Answer:
It is B kid you need to study this is basic shhhhhiz
Step-by-step explanation:
Answer:
it is B kid you need to study
At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for sale are either flowers or bushes?
Answer:
17/20
Step-by-step explanation:
1/4 +3/5 simplify into:
5/20 + 12/20= 17/20
A triangle has sides with lengths of 4 centimeters, 12 centimeters, and 13 centimeters. Is it a right triangle.
Answer:
No, this isn't a right triangle.
Step-by-step explanation:
To check if the triangle is right we can use Pythagorean Theorem. If the equation turns out as true, the triangle is right.
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
The longest side in a right triangle is always hypotenuse, therefore we use the side which is 13 cm long as hypotenuse.
[tex]c^2 = a^2 + b^2\\13^2 = 4^2 + 12^2\\169 = 16 + 144\\169 = 160[/tex]
Number 169 isn't equal to 160 so the equation is false. That means that the triangle is not right.
Please please help !!!!!!!!
Answer:
98°
142°
83°
97°
Step-by-step explanation:
m(arc)JL = 2 × 49° = 98°
m(arc)MJ = 360° - 120° - 98° = 142°
m<KJM = (120° + 46°)/2 = 83°
m<KLM = (360° - 120° - 46°)/2 = 97°
what is the answer of 6x +3y?
Answer: 3*(2x+y)
Step-by-step explanation: