[tex]2x + 4(2 x + 7) = 3(2x + 4)[/tex]
to find:solve the ( x ).
solution:[tex]2x + 4(2x + 7) = 3(2x + 4)[/tex]
[tex]2x + 8x + 28 = 6x + 12[/tex]
[tex]10x + 28 = 6x + 12[/tex]
[tex]4x + 28 = 12[/tex]
[tex]4x = - 16[/tex]
[tex]x = - 4[/tex]
2x+4(2x+7)= 3(2x+4)
2x+8x+28=6x + 12
10x+28=6x + 12
4x+28=12
4x= -16
x=-4
help me with area please
Answer:
1-30ft (half circle) /60ft (full circle)
2-22in (half circle) 44in (full circle)
3-19yd (half circle) 38yd (full circle)
4-12yd (half circle) 24 yd (full circle)
5-6in (half circle) 12 in (full circle)
6 34ft (half circle) 58 (full circle)
Give brainliest :)
Which of the following lines are shown in the drawing?
LI
GJ
CJ
BE
FA
WILL MARK BRAINLIEST
Answer:
FA Is the closest so thats your answer.
Step-by-step explanation:
Which of the following adjectives would best describe the life of a fur trapper?
A) predictable
B) solitary
C) refined
D) civilized
Answer:
B. Solitary
Step-by-step explanation:
Fur trappers often lived solitary lives in the woods. They stayed there for months at a time. Their life was not predictable, they might not find many animals in their area. Their life was not refined, they lived in rough cabins in the middle of the forest. Their life was not civilized, since they barely had many of the comforts of life.
Which of the following is a
composite number?
Enter a, b, c, d, or e.
a. 29
b. 37
C. 57
d. 41
e. 31
Answer:
C
Step-by-step explanation:
57 is a composite number
Using the table below, what is Tyson's take-home pay?
Tyson
Esmerelda Xavier
Annual Salary
$42,500
$60,000
$32,000
Federal Income Tax
$8500
$12,000
$6400
FICA
$3251
$4590
$2448
Disability Insurance
$2125
$3000
$1600
Life Insurance
$100
$150
$75
OA. $40,260
OB. $21,437
OC. $28,524
OD. $32,000
SUBMIT
The take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.
What is a take-home pay?
This means the net income that an individual takes home.
Take-home pay = Annual Salary - Federal Income Tax - FICA - Disability Insurance - Life Insurance
Take-home pay = $42,500 - $8,500 - $3,251 - $2,125 - $$100
Take-home pay = $28,524
Thus, the take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.
Therefore, the Option C is correct.
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Please answer and give full explanation.
There are 1560 students enrolling at Green Woods middle school. If 85% of the students ride the bus, how many do not ride the bus
Answer:
234 students
Step-by-step explanation:
% Don't ride the bus = 100% - % Ride the bus
% = 100% - 85%% = 15%Number of students who don't ride the bus :
1560 x 15%1560 x 3/2078 x 3234 studentsAn ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of three different flavors, one topping, and one cone are possible?
Answer:
Step-by-step explanation:
1440.
What is the value expression -255 + (-15)?
A) -25
B) -15
C) 15
D) 25
Answer:
first we all know that minus multiply by minus will give you plus so,
-255-15=-270
Part
The boat rental company gave a roaring team a discount of $10 oft for every
4 days of rental The team rented a boat for 12 days. Their couch paid 35%
of the total discounted rental cost. The remaining rental cost was divided
equally among the 15 team members
• Determine the total cost for the team to rent a boat.
• Determine the cost per team member.
Enter your answers and your work or explanation in the space provided
Math symbols
$10
Relations
Gearrety
Answer:
i really dont know, i need help with it too
Step-by-step explanation:
A box of facial tissues is 22cm by 10.5 cm by 8cm. How much cardboard is on the outside surface?
Answer:
1848 cm
Step-by-step explanation:
You would multiply 22 by 10.5 by 8 centimeters which would equal 1848 centimeters.
What is the probability that a die will land on the number 5? Answer as a fraction only!
Answer:
[tex]P(5)=\frac{1}{6}[/tex]
Step-by-step explanation:
Since the number 5 appears once on a 6-sided die, then [tex]P(5)=\frac{1}{6}[/tex]
Evaluate:
-6 ÷ (-3)
0 ÷ 15
35 ÷ [(-25) + (-10)
[1 + (-2)] ÷ [(-3) + 4]
0÷ [2 - (-2)]
Step-by-step explanation:
the answer s correspond to the way the questions are arranged
-2
0
-1
-1
0
Which of the following systems is equivalent to the given system?
1/2x - 1/5y = 2
x+ 2/3 y = 5
A: 5 x - 2 y = 20 and 3 x + 2 y = 5
B: 5 x - 2 y = 20 and 3 x + 2 y = 15
C: 2 x - 2 y = 20 and 3 x + 2 y = 5
Answer:
Option B is correct.
Explanation:
1st EquationRemove the denominators:
[tex]\sf \rightarrow \dfrac{1}{2}x - \dfrac{1}{5} y = 2[/tex]
make the denominator's same
[tex]\sf \rightarrow \dfrac{5}{10}x - \dfrac{2}{10} y = 2[/tex]
Join the fraction's:
[tex]\sf \rightarrow \dfrac{5x-2y}{10} = 2[/tex]
Multiply both sides by 10
[tex]\sf \rightarrow {5x-2y} = 20[/tex]
2nd EquationRemove the denominators:
[tex]\rightarrow \sf x + \dfrac{2}{3}y =5[/tex]
make the denominator's same
[tex]\rightarrow \sf \dfrac{3x}{3} + \dfrac{2}{3}y =5[/tex]
Join the fraction's:
[tex]\rightarrow \sf \dfrac{3x+2y}{3} =5[/tex]
Multiply both sides by 3
[tex]\rightarrow \sf 3x+2y} =15[/tex]
Answer:
B) 5x - 2y = 20 and 3x + 2y = 15
Step-by-step explanation:
Rewrite both equations in standard form:
Equation 1
[tex]\dfrac{1}{2}x-\dfrac{1}{5}y=2[/tex]
Multiply both sides by 10:
[tex]\implies \dfrac{1 \cdot 10}{2}x-\dfrac{1 \cdot 10}{5}y=2 \cdot 10[/tex]
[tex]\implies \dfrac{10}{2}x-\dfrac{10}{5}y=20[/tex]
[tex]\implies 5x-2y=20[/tex]
Equation 2
[tex]x+\dfrac{2}{3}y=5[/tex]
Multiply both sides by 3:
[tex]\implies x \cdot 3+\dfrac{2 \cdot 3}{3}y=5 \cdot 3[/tex]
[tex]\implies 3x+2y=15[/tex]
Therefore, the equivalent system is:
5x - 2y = 20 and 3x + 2y = 15
what is the best estimate
Answer:
D. 8.5
Step-by-step explanation:
The full value of √8 is 8.48528137...
Hope this helped!
Evaluate arcsin(1) and arctan√3
The value of arcsin(1) is 90° and the value of arctan√3 is 60°
Evaluating trigonometric functionsFrom the question, we are to determine the values of arcsin(1) and arctan√3. That is, sin⁻¹ (1) and tan⁻¹(√3)
NOTE:
If sin x° = y, then sin⁻¹ y = x°
If cos x° = y, then cos⁻¹ y = x°
If tan x° = y, then tan⁻¹ y = x°
From the trigonometry table of values, we have that
sin 90° = 1
∴ sin⁻¹ (1) = 90°
arcsin(1) = 90°
Alos, from the trigonometry table of values, we have that
tan 60° = √3
∴ tan⁻¹(√3) = 60°
arctan√3 = 60°
Hence, the value of arcsin(1) is 90° and the value of arctan√3 is 60°
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HELPP is please it’s math
Answer:
If the two side planks are equal lengths then the answer is 26 1/3.
i am trying to find the horizontal distance between two towers. i don't understand how to put x=40/tan11.5 into the calculator and get the answer 196.6
By using trigonometric relations, we see that the horizontal distance is 196.6.
How to find the distance between the towers?
Remember the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
In this case, the adjacent cathetus is the horizontal distance between the towers, the opposite cathetus is 40, and the angle is 11.5°.
Then we can write:
tan(11.5°) = 40/x
Solving for x:
x = 40/tan(11.5°)
This is the equation that you got, and it gives:
x = 40/tan(11.5°) = 196.6
Why you don't get this?
The problem may be that your calculator is in radians instead of degrees. It should say "DEG" instead of "RAD" if you want to evaluate trigonometric functions in degrees.
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A random sample of 102 students found that 4 out of 6 students brought a lunch to school instead of eating the cafeteria food.
At this rate, how many students would eat the cafeteria food if 510 students were in attendance?
____ students
The random sample is that where every result (student for the case) has the same probability to be selected.
Then you cannot use any method that select one student with preference.
Two possible valid methods are:
- Write the number of each student in separate papers, put all the papers in a closed box and blind choose 102 papers.
- Assign a number to each student of the school and use a method to generate 102 random numbers.
please help help help meee
Answer:
Kaylaa do you use desmos graphing calculator? it's an online graphsing tool and would make this very easy for you. Maybe you are not allowed to use a calculator?
Step-by-step explanation:
with out a calculator it's a long math process, 1st because each of the equations are equal to Y, we can set each of them equal to each other. like this
[tex]\sqrt{x-8}[/tex] + 3 = - [tex](x-5)^{2}[/tex] + 18
[tex]\sqrt{x-8}[/tex] = - [tex](x-5)^{2}[/tex] +18 -3
[tex]\sqrt{x-8}[/tex] = - [tex](x-5)^{2}[/tex] + 15
[tex]\sqrt{x-8}[/tex] = -[ (x-5)*(x-5) ] + 15
[tex]\sqrt{x-8}[/tex] = -[ [tex]x^{2}[/tex] - 10x + 25] +15
[tex]\sqrt{x-8}[/tex] = -[tex]x^{2}[/tex] + 10x -25 +15
[tex]\sqrt{x-8}[/tex] = -[tex]x^{2}[/tex] + 10x -10
- [tex]\sqrt{x-8}[/tex] = [tex]x^{2}[/tex] - 10x +10
(- [tex]\sqrt{x-8}[/tex])^2 = ( [tex]x^{2}[/tex]- 10x +10)^2
this turns into a 4 order polynomial. I used a solver to find x
x = 8.75884.... approx
so the question asks what is the point at the nearest 1000th, which is 8.759
then they ask what is the point at the nearest 100th, which is
8.76
I'm attaching the graph, if it helps :P
Find the volume of the prism where B is the base area.
Answer:
V = 58.14 ft²
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Bh ( h is the perpendicular height )
here B = 11.4 and h = 5.1 , then
V = 11.4 × 5.1 = 58.14 ft²
Answer:
V = 58.14 ft³
Step-by-step explanation:
V = B × h
= 11.4×5.1
= 58.14 ft³
Find the 12th term of the geometric sequence 4, 8, 16, ...
Answer:
8192
Step-by-step explanation:
The pattern is mulitply by 2 to get the next term
4*2=8
8*2=16
So: 4,8,16,32,64,128,256,512,1024,2048,4096,8192
F(x,y) = 4 ; r is the region enclosed by the petal of a rose curve r = sin*2theta)
The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We know the area in the polar coordinates is given by:
[tex]\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta[/tex]
We have r = sin2θ
Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.
Put this value in the above integration and limit 0 to π/2
[tex]\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta[/tex]
After solving the above integration, we get:
[tex]\rm A = \dfrac{\pi}{8}[/tex]
Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units
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please please help please please help me asap help me asap
Answer:
its just like doing normal area just work it out then add the different sdhapes areas together
Step-by-step explanation:
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other leg is 21 centimeters. The student incorrectly says that the length of the hypotenuse is 7.3 centimeters. Answer parts a and b. a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter. cm. The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is (Round to the nearest tenth as needed.)
Answer:
Step-by-step explanation:
You need the Pythagorean Theorem to solve this question. There is no be part.
Equation
c^2 = a^2 + b^2
Givens
a = 32
b = 21
c = ?
Solution
c^2 = a^2 + b^2 Substitute the values
c^2 = 32^2 + 21^2 Expand
c^2 = 1024 + 441 Combine
c^2 = 1465 Take the square root of both sides
√c^2 = √1465
c = 38.275
Answer: 38.3 rounded
If johns meal provided 50 grams of fat and 30 grams of protein how many calories in total did he consume
Answer: 570 total calories
Step-by-step explanation:
450 calories in 50 grams of fat
120 calories in 30 grams of protein
120 + 450= 570
the table shows the total cost for the number of raffle tickets purchased. write an equation that represents the relationship between these two quantities. Use the equation to find the cost of 6 tickets
The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the total cost of x tickets.
From the table:
1 ticket cost $4, hence:
y = 4x
The cost of 6 tickets is:
y = 4(6) = 24
The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24
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length of a rectangular grarden is Im and the breadth is 6m. calculate its area in mm2
CALCULATE THE AREA
=LENGTH X BREADTH
=6M X 1M
[tex]6 {m}^{2} [/tex]
NOW CHANGE THE METRES TO MILLIMETRES
=1000MM=1M
SO,IF 1M=1000MM
THEN 6M=MORE
IF MORE LESS WILL DIVIDE
GIVING YOU
[tex] \frac{6}{1} \times 1000mm[/tex]
[tex]6000mm[/tex]
a map has a scale of 2cm to 5km
rewrite the scale as a ratio in its simplest form.
Answer:
1: 250 000
( There are 1000 metres in a km and 100 cm in a m, thus you multiply 5 km by 100 000 to convert it to cm, then you divide by 2 in order to get the simplist form of the ratio )
Gianna rojas
megan, julie, and anna together made $18.75 raking
leaves. they used the equation 3n = 18.75 to determine
the amount of money each person would earn. what is the
value of n?
By dividing both sides by 3, we conclude that each person gets $6.25.
How to get the value of n?
Here we want to solve the equation:
3n = 18.75
for n.
Remember that if we perform the same operation in both sides of the equality, then the equality remains true.
So here we can divide both sides of the equation by 3, so we get:
(3n)/3 = 18.75/3
n = 18.75/3 = 6.25
n = 6.25
So we can conclude that each one gets $6.25
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