[tex]\longrightarrow{\green{ \: x = - 25 }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \frac{ - 2}{5} (x + 10) = 6[/tex]
➺ [tex] \: - 2 \: (x + 10) = 6 \times 5[/tex]
➺ [tex] \: - 2x - 20 = 30[/tex]
➺ [tex] \: - 2x = 30 + 20[/tex]
➺ [tex] \: - 2x = 50[/tex]
➺ [tex] \: x = \frac{50}{ - 2} [/tex]
➺ [tex] \: x = - 25[/tex]
Therefore, the value of [tex]x[/tex] is -25.
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \frac{ - 2}{5} ( - 25 + 10) = 6[/tex]
➺ [tex] \: \frac{ - 2( - 15)}{5} = 6[/tex]
➺ [tex] \: \frac{30}{5} = 6[/tex]
➺ [tex] \: 6 = 6[/tex]
➺ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
Solve for x
Show work
Answer:
x = 7
Step-by-step explanation:
123 = 17x + 4
123 - 4 = 17x
119 = 17x
119 / 17 = x
7 = x
The Tower of Pisa is well known worldwide for how it leans,
Sami visits the tower and wants to investigate how much it is leaning. He draws a diagram
showing a non-right triangle ABC.
On the diagram the angle ACB is 55º. The horizontal displacement of the tower BX = 5m.
The length of BC is 45m.
1) find the length of tower AB
Answer:
The tower is approximately 57.34 meters long
Step-by-step explanation:
The given parameters are;
The type of triangle formed by ΔABC = Non-right triangle
The measure of ∠ACB = 55°
The horizontal displacement of the tower, BX = 5 m
The length of BC = 45 m
Therefore, we have;
Triangle ΔABC type = Right triangle
By the tangent to an acute angle, θ, in a right triangle, we have;
[tex]Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]
Where θ is the 55°, we have angle, we have;
[tex]Tan(55^{\circ}) = \dfrac{XA}{XC}[/tex]
BC = BX + XC
∴ XC = BC - BX
XC = 45 m - 5 m = 40 m
[tex]\therefore Tan(55^{\circ}) = \dfrac{XA}{40}[/tex]
XA = 40 × tan(55°) ≈ 57.126
The type of triangle formed by ΔABX = Right triangle
According to Pythagoras theorem, AB² = XA² + BX²
∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34
The length of the tower, AB ≈ 57.34 m
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $945.41
Answer: 189.082
189.082 is 20% of 945.41
Step-by-step explanation:
What is 20% of 945.41?
Y is 20% of 945.41
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 20% * 945.41
Converting percent to decimal:
p = 20%/100 = 0.2
Y = 0.2 * 945.41
Y = 189.082
whats 9 plus 6 times 2?
HELP ME PLAESE ASAPP
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles
Answer:
8.04672
or 8
Step-by-step explanation:
need help with this problem
Answer:
2
Step-by-step explanation:
20%---4
20%---4
20%---4
15%---3
15%---3
10%---2
4-2=2
Answer:
2 scoops
Step-by-step explanation:
Hi there!
What the question tells us:
There were 20 sales in totalWe need to solve for the number of chocolate ice cream sales and the number of strawberry ice cream salesWe need to subtract: [# chocolate ice cream sales] - [# strawberry ice cream sales] = ?1) Determine the number of chocolate ice cream sales
The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.
20 × 20%
Change 20% into a decimal
= 20 × 0.2
= 4
Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.
2) Determine the number of strawberry ice cream sales
The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.
20 × 10%
Change 10% into a decimal
= 20 × 0.1
= 2
Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.
3) How many more of these scoops were chocolate than strawberry?
[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?
4 - 2 = ?
4 - 2 = 2
Therefore, 2 more of these scoops were chocolate than strawberry.
I hope this helps!
48 POINTS!! ANSWER QUICK AND ASAP PLEASE!! EVERYBODY IT'S A IMPORTANT TEST.
There are four sixth graders and seven seventh graders in Elsa's chess club. Two members of the club will be chosen at random to attend a tournament with several other chess clubs. Elsa is using simulation to determine the experimental probability of randomly selecting two sixth graders. So, she places four red discs (to represent the sixth graders) and seven blue discs (to represent the seventh graders) in a bag. She randomly selects one disc from the bag, records the color, keeps the disc out, selects another disc and records it, and then returns both discs to the bag. Elsa does this twenty-five times. Her results are shown in the table below.
b, b b, r b, r b, b r, b
b, r b, b b, r b, r r, b
r, b r, r b, r r, b b, r
b, b r, r b, r r, r r, b
b, b r, r b, b r, r b, r
Based on the results of Elsa's simulation, the experimental probability of randomly selecting two sixth graders is [ INSERT AN ANSWER HERE ]
the theoretical probability of randomly selecting two sixth graders.
A. equal to
B. greater than
C. less than
Answer:
A.equal to
Step-by-step explanation:
thats the answer correct me if you want
Need help
Pls explain
Given:
The graph of a line.
To find:
The equation of the line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{8-(-2)}{-6-0}(x-0)[/tex]
[tex]y+2=\dfrac{10}{-6}x[/tex]
[tex]y+2=-\dfrac{5}{3}x[/tex]
Subtract 2 from both sides.
[tex]y=-\dfrac{5}{3}x-2[/tex]
Therefore, the equation of the line is [tex]y=-\dfrac{5}{3}x-2[/tex].
a cylindrical container has a radius of 14 cm and I 20m high .it's curved surface is completely covered with a label . what is the area of the label in cm2 .take pie to be 22/7)
Answer:
The area of the label is 176,000 cm²
Step-by-step explanation:
The given parameters are;
The radius of the cylindrical container, r = 14 cm
The height of the cylinder, h = 20 m
The area covered with the label = The curved surface of the cylinder, A
The curved surface area of a cylinder, A = 2 × π × r × h
π = 22/7
∴ The curved surface area of the cylinder = A = 2 × 22/7 × 14 × 2000 = 176,000
A = 176,000 cm²
∴ The area of the label = The curved surface area of the cylinder = 176,000 cm².
y+1=5(x-4) write a slope intercept form
Helppp
Answer:
y = 5x - 21
Step-by-step explanation:
[tex]y+1=5(x-4)\\y+1=5x-20\\y=5x-21[/tex]
URGENT PLS!!
consider the system: 5x+3y = 12 , x-7y=10
using elimination method, what is the value of 38y?
Answer:
5x+3y=12
x-7y=10
first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y
5x+3y=12
5x-35y=10
_________
38y = -38
y = -1
to find the x value substitute to any equations it can be the 1st or 2nd
5x+3(-1)=12
x = 3
My little sister need help!
Which of the following is furthest to the left on the number line?
-6.5
-5
-6.7
-6 help mee
Answer:
6.7 is farthest to the left of the line
Be the Teacher
A student's work in solving an equation is shown below:
4x2 + 2x = 0
2x (2x+1= G
2x+/= 0
2x=-1
=-{-1/
Determine if there's an error in the student's work. If there is, explain what the error is,
and correct it.
Answer:
x = 0 and x = -1/2
Yes there is an error in the student's work. The error is that he is considering only single value of x. To correct the error he/she must calculate all the possible values of x. The process is shown in the paper.
hank is studying a population of bacteria and notices that the bacteria population increases by 5% each hour. the function that represents that populations of bacteria has a constant percent of change. true or false
Answer:
True
Step-by-step explanation:
The population always grows by 5%, even though more bacteria are added with each hour. Each hour, due to exponential growth, the population size rises by 5%.
Whats the measure of
Answer:
C. 80°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference Angle = J
Opposite = 60
Adjacent = 11
Hypotenuse = 61
Apply trigonometric function, SOH, which is:
Sin J = Opp/Hyp
Sin J = 60/61
[tex] J = sin^{-}(\frac{60}{61}) [/tex]
J = 79.6111422°
J = 80° (nearest degree)
Please help will give branliest
Which statement is an example of the reflexive property of congruence? Help!
Answer:
In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. If ∠ A \angle A ∠A is an angle, then. \angle A \cong \angle A. ∠A≅∠A.
...
Reflexive property in proofs.
StatementsReasons3. a c = b c ac=bc ac=bc3. Substitution property of equality
Tell me what is wrong with this.
_____
/ \
| |
|______|
| | | |
| | | |
Answer:
among us lm*o na everything
Step-by-step explanation:
What’s the value of this expression?
Answer:
ans is 0
Step-by-step explanation:
(3/5)0×-2
(3/5)^0
so the answer Is 0
what property 8 + 43 = 43 + 8
Answer:
commutative property
Step-by-step explanation:
It's basically just changing the order of the equation.
Which equaiton reprsents a line that passes through the two points in the table? A.y+1=5/4(x+1) B.y+6=4/5(x+5) C.y-6=4/5(x-5) D.y-1=5/4(x-1)
Answer:
C
Step-by-step explanation:
It’s c
What is the inequality for this verbal description?
The value of y is greater than or equal to the sum of five times the value of x
and negative three.
Answer:
y >= 5x - 3
Step-by-step explanation:
since the verbal description mentions "sum", we need to have at least two things to add together.
for this reason we cannot misinterpret the -3 as an element to be included in the "5 times" term, because otherwise we would not have a second thing to build a sum.
Subtract one half of a number from 10
Answer:
10-1/2n
hope this helps
have a good day :)
Step-by-step explanation:
Pls help me with this
Answer:
12
Step-by-step explanation:
f(-7) = 5-(-7)=5+7=12
The expression 6 x 2gives the surface area of a cube, and the expression x 3gives the volume of a cube, where x is the length of one side of the cube. Find the surface area and the volume of a cube with a side length of 2 meters
Answer Expert Verified
3.1/5
18
Surface of a cube=S(x)
S(x)=6x²
S(2 m)=6(2 m)²=6(4 m²)=24 m²
The surface of this cube is 24 m².
Volume of a cube=V(x)
V(x)=x³
V(2 m)=(2 m)³=8 m³
Answer:
18
Step-by-step explanation:
Which could be the graph of f(x) = |x -h| + k if h and k are both positive?
Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.
Answer:
A
Step-by-step explanation:
Just did it
B.) What fraction of the cost is spent on food and entertainment? Food- 17%. Entertainment- 24 they have 3000 for vacation
Answer:
Amount spent on food = 510
Amount spent on entertainment = 720
Step-by-step explanation:
They have 3000 for vacation.
Amount spent on food = 17% of 3000
or 17/100*3000
17*30= 510
Amount spent on entertainment = 24% of 3000
or 24/100*3000
24*30= 720
**PLEASE HELP**
Given: f(x) = 3x - 5, and g(x) = x² - 4x, find g(f(3))
Answer and Step-by-step explanation:
Plug 3 in for f(x), then plug the result of f(x) into g(x).
f(3) = 3(3) - 5
f(3) = 9 - 5
f(3) = 4
g(4) = [tex](4)^2 - 4(4)[/tex]
g(4) = 16 - 16
g(4) = 0
So, g(f(3)) = 0
#teamtrees #PAW (Plant And Water)
Answer:
0 is the final answer
Step-by-step explanation:
Substitute given values for x accordingly