Answer:
x = 19
Step-by-step explanation:
Assuming the question was (5x + 4)° (8x – 71)°=180° not (5x + 4)° (8x – 710°,
Simplifying
(5x + 4) + (8x + -71) = 180
Reorder the terms:
(4 + 5x) + (8x + -71) = 180
Remove parenthesis around (4 + 5x)
4 + 5x + (8x + -71) = 180
Reorder the terms:
4 + 5x + (-71 + 8x) = 180
Remove parenthesis around (-71 + 8x)
4 + 5x + -71 + 8x = 180
Reorder the terms:
4 + -71 + 5x + 8x = 180
Combine like terms: 4 + -71 = -67
-67 + 5x + 8x = 180
Combine like terms: 5x + 8x = 13x
-67 + 13x = 180
Solving
-67 + 13x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '67' to each side of the equation.
-67 + 67 + 13x = 180 + 67
Combine like terms: -67 + 67 = 0
0 + 13x = 180 + 67
13x = 180 + 67
Combine like terms: 180 + 67 = 247
13x = 247
Divide each side by '13'.
x = 19
Simplifying
x = 19
What is 9x-2?????????????
Answer:
If you mean 9 x -2 it's -18
Step-by-step explanation:
HELLPPPPPPPPPPPPPPPPPPP
The equation is [tex]y = 6x -3[/tex].
What is the area of this figure? 16 km 10 km 6 km 16 km 8 km 16 km 8 km 24 km 22 km 9 km 16 km 5 km IXL
Answer:
umm let me see
Step-by-step explanation:
3) 2x² + 7x - 30
AC method
Hello
a=2, b=7, c= -30
ac=-60
-60= 12*(-5)
We can see that 12*(-5)=ac and 12-5=b=7
So
[tex]2x^2+7x-30=2x&2+12x-5x-30=2x(x+6)-5(x+6)=(x+6)(2x-5)[/tex]
Thanks
Can I plz get some help on this I haven't had time to do this and im confused on this
Answer:
What are you confused about?
Step-by-step explanation:
4) How many cards must you draw from a deck of 52 cards to have at least 5 cards of one suit?
There are four suits (clubs, spades, diamonds, hearts). Explain your answer.
================================================
Explanation:
The best case scenario is that you pull 5 cards from the same suit in a row (eg: 5 spades in a row). However, we have to plan for the worst case scenario that way we can guarantee to have 5 cards in one suit without having to look at the cards.
The worst case scenario is that you pull cards such that you get one suit at a time (eg: spade, heart, club, diamond). On the 5th draw, we finally get a card that repeats a suit.
If we repeat the sequence {spade, heart, club, diamond} in that order a total of two times, then we'll have 8 cards with 2 cards per suit.
Doing that sequence four times we'll have 4*4 = 16 cards and 4 cards per suit. That 17th card will repeat a suit a fifth time and this is when we'll be guaranteed to have at least 5 cards of one suit.
Solve the following equation. 2/3 x + 6 =1/2 x + 1/4x
A)2
B)6
C)14 2/5
D)72
Answer:
Step-by-step explanation:
2/3x + 6 = 2/4x + 1/4x
2/3x + 6 = 3/4x
12(2/3x + 6 = 3/4x)
8x + 72 = 9x
x = 72
Consider the equation, where p is a real number coefficient.
- (px - 2) = 9
What is the value of x in the equation?
Answer:
x = 7/-p
Step-by-step explanation:
-(px - 2) = 9
-px + 2 = 9
-px = 7
x = [tex]-\frac{7}{p}[/tex]
Answer:
x = -7/p
Step-by-step explanation:
We have:
-(px - 2) = 9
Divide both sides by -1:
px - 2 = -9
Add 2 to both sides:
px = -7
Divide by p:
x = -7/p
p is a real number coefficient, which means it can be any kind of fraction, decimal, or integer as long as it doesn't contain any imaginary part, i.
So, we have x = -7/p.
~ an aesthetics lover
Given: 3x + y = 1.
Solve for y.
O y=-3x + 1
O y=-3x - 1
O y = 3x - 1
Answer:
y = -3x + 1
Step-by-step explanation:
You're basically wanting to change the equation to slope-intercept.
3x + y = 1
-3x -3x Remember that what you do to one side ya gotta do to the other
y = -3x + 1
Hope that helps and have a great day!
Which is the best name for numbers that describe distances on a map?
Answer: Mapping and Cartography
Step-by-step explanation:
Hope this helps:)
Given f(x) = x2 + 2x , solve for x where f(x+2) = 0.
hELP ME PLEASE
What is the equation of the line that passes through the point (-3,7) and has a
slope of -3?
Answer: y + 3x + 2 = 0
Step-by-step explanation:
The formula for that is
y - y₁
------- = -3 where x₁ = -3, y₁ = 7
x - x₁
Therefore cross multiply and solve
y - 7 = -3[( x - (-3)]
y - 7 = -3( x + 3 )
y - 7 = -3x - 9
y + 3x -7 + 9 = 0
y + 3x + 2 = 0
Answer:
y=-3x-2
Step-by-step explanation:
What is the y-intercept for the function?
Answer:
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.
Step-by-step explanation:
Y - intercept represents the position of a point on y-axis or when a line passes through y-axis, it, actually, passes through a point on y-axis. And that point is called the y intercept. It is usually represented by and as a point, it is represented as.
It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.
Hoped this helped! :D
Find the area of each triangle with the given heights and bases. a. h = 6 inches; b = 10 inches b. h = 9 centimeters; b = 4 centimeters c. h = 13 yards; b = 20 yards The triangular top of an end table has a height of 32 centimeters and a base of 40 centimeters. What is the surface area of the top of the table? A Triangle Sondra wants to put a fence in a triangular area of her backyard as shown in the illustration. The fence will enclose a right triangle, with two of the sides measuring 8 yards and 15 yards long. How long will the third side of the triangle be? A Shape Susan has a flower bed that is shaped like a right triangle. Both sides of the right angle are six feet long. What is the length of the missing side? A Shape Use the Pythagorean theorem to find the length of each missing hypotenuse below. Remember: if the answer isn’t a perfect square, you can leave it in the square root form. Varies Shapes
The area of the first, second, and third is a triangle30square in,18 square cm,130 Square yards the surface area of the triangular top of the end table is 640 square centimetres the length of the third side of the triangle is 17 yards the length of the missing side of the right triangle is 6√2 feet.
According to the given information:
a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore, for the first triangle:
A = (1/2)(10 in)(6 in) = 30 square inches
b. For the second triangle:
A = (1/2)(4 cm)(9 cm) = 18 square centimeters
c. For the third triangle:
A = (1/2)(20 yd)(13 yd) = 130 square yards
d. The surface area of the triangular top of the end table is also given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore:
A = (1/2)(40 cm)(32 cm) = 640 square centimeters
e. Using the Pythagorean theorem, we can find the length of the third side of the right triangle:
c² = a² + b²
c² = 8² + 15²
c² = 289
c = √289
c = 17 yards
Therefore, the length of the third side of the triangle is 17 yards.
f. Using the Pythagorean theorem, we can find the length of the missing side of the right triangle:
c² = a² + b²
c² = 6² + 6²
c² = 72
c = √72
c = 6√2 feet
Therefore, the length of the missing side of the right triangle is 6√2 feet.
g. The length of the missing hypotenuse can be found using the Pythagorean theorem:
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = √25
c = 5
Therefore, the length of the missing hypotenuse is 5.
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Answer:
a. a2 + b2 = c2
a2 + (12 in.)2 = (20 in.)2
a2 + 144 sq. in. = 400 sq. in.
a2 = 144 sq. in. – 144 sq. in. = 400 sq. in. – 144 sq. in.
a2 = 256 sq. in.
√a2 = 256 sq. in.
a = 16 in.
Answer: The length of the missing side is 16 inches.
b. a2 + b2 = c2
(7 cm)2 + b2 = (25 cm)2
49 cm2 + b2 = 625 cm2
49 cm2 – 49 cm2 + b2 = 625 cm2 – 49 cm2
b2 = 576 cm2
√b2 = √576 cm2
b = 24 cm
Answer: The length of the missing side is 24 centimeters.
c. a2 + b2 = c2
(8 yd.)2 + (15 yd.)2 = c2
64 sq. yd. + 225 sq. yd = c2
289 sq. yd. = c2
√289 sq. yd. = √c2
17 yd. = c
Answer: The third side of the fence will be 17 yards long.
Step-by-step explanation:
What is the value of the 7 in 1,379
Answer:
70
Step-by-step explanation:
The 7 is in the 10s place so its value would be 70
The 7 is in the tens place, so it represents 70
1379 = 1000 + 300 + 70 + 9
1379 = 1*1000 + 3*100 + 7*10 + 9*1
1379 = 1*10^3 + 3*10^2 + 7*10^1 + 9*10^0
which is the right answer?????
Answer:
Angle ABC = 58
_________________
These two angles are opposite but meet at the same vertex. This means that they are equal to each other. To solve the equation below, isolate the variable and you have your answer!
3x - 14 = 2x + 10
-2x -2x
x - 14 = 10
+14 +14
x = 24
Angle ABC
3(24) - 14 = ?
72 - 14 = 58
HELP!
Freediving means diving without the aid of breathing equipment. Suppose that an athlete free dives to an elevation of -42 meters in 60 seconds. Find the average rate of change in the diver's elevation
Answer:
- 0.7 m/s
Step-by-step explanation:
Because we are talking about "elevation", we assume that going upwards will result in a positive elevation change and going downwards will result in a negative elevation change.
We also assume, since we are talking about free-diving, that he starts from the surface (i.e elevation 0 m) and he free dives to a distance of 42 meters downwards (i.e elevation of -42)
In our case, the change in elevation
= final elevation - intital elevation
= -42 - 0
= -42 m
time elapsed is given as 60 sec.
Hence rate of change of elevation
= change in elevation ÷ time elapsed
= -42 ÷60
= - 0.7 m/s
Simplify: -7(-3) + 10 =
Answer:
11
Step-by-step explanation:
Find the product. (4/5)(9/5)(-1/2)
find all couples (p,q) of prime numbers, such that p-q and p+q are prime numbers as well
Answer:
(2,5), (2,7)
Step-by-step explanation:
Because all prime numbers besides two are odd, and and odd number plus an odd number is an even number, there should be no solutions, unless, one of those numbers is not odd. In this case, there is only one non-odd prime number, that being two. So now that you know that one of the numbers is two, and has to be two, you have a little space finding the next number. The only restrictions its that its prime, if you add two you will get another prime number, and if you subtract two you will also get a prime number. In this case, both five and seven work. Some may say that three also works, but if you subtract two from three you get one, which is considered a special number, along with zero. Hope this helped! :D
Couple prime number of given quastion is (p,q)=(3,2) .
What is prime number?A prime number is defined as a whole number whose only factors are 1 and itself.
According to the given condition
Let, p=3 and q=2
⇒ p-q= 3-2 = 1 (prime)
⇒p+q= 3+2 = 5 (prime)
Now, p=5 and q=3
⇒ p-q= 5-3 = 2 (prime)
⇒p+q= 5+3 = 8 ( not prime)
(p,q)=(3,2) is the unique solution
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What is the slope of line j?
Answer: -3/2
Step-by-step explanation:
PLEASE, PLEASE, PLEASE ANSWER. WIL GIVE BRAINLIEST IF ANSWERED WITHIN THE NEXT 5 MIN
Answer:
y = 17 and y = 13
Step-by-step explanation:
lmk if you need an explanation
~theLocoCoco
Michael and Aiden both get paid an equal hourly wage of $12 per hour. This week, Michael made an additional $30 dollars in overtime. Write an expression that represents the weekly wages of both if M = the number of hours that Michael worked this week and A = the number of hours Aiden worked this week? What is another way to write the expression?
Osmond has £6 he buys some cans of drink at 85p each and has 5p leftover how many cans of drinks did he buy
Answer:
7 cansStep-by-step explanation:
Given
Cost of drink = 85pMoney given = £6 Money left = 5pSolution
£6 = 600 p85x + 5 = 60085x = 595x = 595/85x = 71. What is the range of the relation shown in
the table?
Refer to
х
3
5
7
9
у
4
-6
-11
A {-119)
B 3, 5, 7, 9)
C {-11, -6, -1, 4}
D -11, -6, -13, 4, 5, 7, 9)
If 16 less than 4 times a number is 64 what is the number
Answer: Let the number be x
four times a number = 4x
16 less than four times a number = 4x - 16
4x - 16 = 64
Keeping constants on one side
4x = 64 +16
4x = 80
x = 80/4 = 20
The number is 20 .
Rewrite the following without an exponent.
2-3
Answer:
the answer is 1/8
Step-by-step explanation:
2^-3= 1/2^3= 1/8
The term 2⁻³ can be written without an exponent will be 1/8.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that the given term is 2⁻³.
Any non-zero number raised to a negative power, according to the rule, equals its counterpart raised to the opposite positive power. In other words, an equation with a negative exponent is identical to the expression with a different exponent sign divided by 1.
=2⁻³
The following law of exponent is followed,
a⁻ⁿ=1/aⁿ
=2⁻³
=1/2³
1/8
Thus, the term 2⁻³ can be written without an exponent will be 1/8.
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Where is the blue dot on the number line?
Answer: 5
Step-by-step explanation: every mark counts as 1 and the dot is 5 marks away from 0 in the positive direction
Answer:
The point is at 5
Step-by-step explanation:
if you count from the positive 1 and count upwards, count the tickmarks and then you land on positive 5
Hope this helps!
What is the value of y in the equation 2(3y + 4 + 2) = 196 − 16?
26
28
30
32
Answer:
28
Step-by-step explanation:
2(3y + 4 + 2) = 196 − 16
6y + 8 + 4 = 196 - 16
6y + 12 = 196 - 16
6y + 12 = 180
6y = 168
y = 28
Best of Luck!
Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞
Answer:
Its the 3rd one :)
Step-by-step explanation:
Answer:
correct answer choice is B
Step-by-step explanation:
