Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
plz help out with this with steps to I have all of questions like this to answer if u can help with this I would be able to answer the rest it's for my little sis in (6 garde)
A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards
9514 1404 393
Answer:
101 feet
Step-by-step explanation:
Multiply the number of boards by the length of the boards, and add the products.
2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101
The total length of the boards is 101 feet.
Find the area of a square is 12cm find the length
Answer:
The length would be l=3.46
Step-by-step explanation:
A particular asteroid moves at a speed of 55,000 miles per hour . How many hours will it take the asteroid to travel a distance of 4.62x 10^5 miles ?
Answer:
8.4 hours
Step-by-step explanation:
Given that:
Speed of asteroid = 55000 miles/hr
Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles
We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.
Formula for speed can be given as following:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
OR, the formula for time in terms of speed and distance can be given as following:
[tex]Time= \dfrac{Distance}{Speed}[/tex]
Putting the given values in the formula to find the Time:
[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]
Calculate the following speed Distance of 20 meters, time is 2 seconds.
Answer:
10 meters per sec
Step-by-step explanation:
Answer:
10 meters per seconds.
Step-by-step explanation:
Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11
Answer:
2; 5; 8
Step-by-step explanation:
To fill in the table, we need to generate an equation to represent the relationship between x and y.
First, find the slope using the two pairs given, (5, -1) and (25, 11):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]
m = ⅗.
Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.
[tex] y - y_1 = m(x - x_1) [/tex]
Where,
[tex] x_1 = 5, y_1 = -1 [/tex]
m = ⅗.
Plug in the values
[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3x}{5} - 3 [/tex]
Subtract 1 from both sides
[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]
[tex] y = \frac{3x}{5} - 4 [/tex]
Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.
✔️When x = 10:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]
[tex] y = 2 [/tex]
✔️When x = 15:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]
[tex] y = 5 [/tex]
✔️When x = 20:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]
[tex] y = 8 [/tex]
Answer:
2,5,8
Step-by-step explanation:
y=mx+b
answer fast, please!
Answer: y = -1x + 3
Step-by-step explanation:
it's going through the y intercept ( 3 )
and down ( negative by 1 )
you can also write the answer as y = -x + 3
either one, its the same.
How do you do this question?
Answer:
-0.391 < x < 0.391
Step-by-step explanation:
The Maclaurin series for cosine is:
cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!
So the next term would be -x⁶/6!. When the absolute value of this is less than the error:
│-x⁶/6!│< 0.000005
x⁶ / 720 < 0.000005
x⁶ < 0.0036
-0.391 < x < 0.391
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
_ pounds of sugar candies
=OWO=
Answer: 9 pounds of chocolate and 6 pounds of sugar candies
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Step-by-step explanation:
By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.
Let's define two variables:
x = pounds of chocolate candies usedy = pounds of sugar candies used.Then, using the given information, we will have that:
x + y = 15
x*$7.00 + y*$2.00 = $5.00*15
If we isolate x in the first equation we get:
x = 15 - y
Now we can replace that in the second equation to get:
(15 - y)*$7.00 + y*$2.00 = $75
$105 - y*$5.00 = $75
$105 - $75 = y*$5.00
$30 = y*$5.00
$30/$5 = y = 6
So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
If you want to learn more, you can read:
https://brainly.com/question/12895249
which expression is equivalent to (-60) divided by 5?
Answer:
Step-by-step explanation:
No choices are listed.
But -60 divided by 5 is -12
If 1st and 4tg terms of G.p are 500 and 32 respectively it's second term is ?
Answer:
[tex]T_{2} = 200[/tex]
Step-by-step explanation:
Given
Geometry Progression
[tex]T_1 = 500[/tex]
[tex]T_4 = 32[/tex]
Required
Calculate the second term
First, we need to write out the formula to calculate the nth term of a GP
[tex]T_n = ar^{n-1}[/tex]
For first term: Tn = 500 and n = 1
[tex]500 = ar^{1-1}[/tex]
[tex]500 = ar^{0}[/tex]
[tex]500 = a[/tex]
[tex]a = 500[/tex]
For fought term: Tn = 32 and n = 4
[tex]32 = ar^{4-1}[/tex]
[tex]32 = ar^3[/tex]
Substitute 500 for a
[tex]32 = 500 * r^3[/tex]
Make r^3 the subject
[tex]r^3 = \frac{32}{500}[/tex]
[tex]r^3 = 0.064[/tex]
Take cube roots
[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]
[tex]r = \sqrt[3]{0.064}[/tex]
[tex]r = 0.4[/tex]
Using: [tex]T_n = ar^{n-1}[/tex]
[tex]n = 2[/tex] [tex]r = 0.4[/tex] and [tex]a = 500[/tex]
[tex]T_{2} = 500 * 0.4^{2-1}[/tex]
[tex]T_{2} = 500 * 0.4^1[/tex]
[tex]T_{2} = 500 * 0.4[/tex]
[tex]T_{2} = 200[/tex]
Hence, the second term is 200
2.Marino paid a total of $706 for his accommodation in Seoul, South Korea. He will be spending 7 nights at his hotel.
a) Write an equation to help Marino figure out how much money he was charged in fees.
b) Determine the amount of money he was charged for fees.
Answer:
$4942
Step-by-step explanation:
a.A day accommodation=$706
7 days accommodation=$706x7days
Answer=$4942
b
Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?
Answer:
25 miles
pls tell if I'm wrong
plz do this ill mark brainly
Answer:
1. Expression: y = 235x
Answer: 1,175
2. The cost of the shirts is 5 dollars. Alex has 15 dollars in his wallet. He wants to buy 3 shirts. Write an expression that represents this problem.
Step-by-step explanation:
5. 235 per second
5 x 235 = 1,175
Expression: y = 235x
Help solve this equation
Answer:
x=1
You solve for x by cross multyplying
Cleo and her family fished for 3 days and caught 100 fish between them. They caught 12 fish on day 2 and 16 fish on day 3. How many fish did they catch on the first day.
Which equation is correct.
12x + 16 = 100
12x + 16 = 100
x + 12 + 16 = 100
x + 12 + 16 = 100
16x + 12 = 100
Answer:
x + 12 + 16 = 100
72 fishes
Step-by-step explanation:
Given parameters:
Number of days fished = 3days
Number of fishes caught = 100 fishes
Number of fish caught on day 2 = 12fishes
Number of fish caught on day 3 = 16fishes
Unknown:
Number of fish caught on the first day = ?
Solution:
Let the number of fishes caught on the first day = x;
Total number of fishes caught = No of fish on day 1 + No of fish on day 2 + number of fish on day 3
Insert the parameters and solve;
100 = x + 12 + 16
x = 100 - 28 = 72fishes
10. Which of the following represents a linear function? *
I The area of a square in relation to its side
II The area of a circle in relation to its radius
III The perimeter of a square in relation to its side
IV The circumference of a circle in relation to its diameter
(a) I only
(b) II & III
(c) III & IV
(d) IV only
The Williams are buying a house that costs $323,000 and can afford a 10% down payment. If the Williams want the lowest monthly payment, which loan option would you recommend? 15 year fixed, 5% down at a fixed rate of 5.5% b. 30 year FHA, 3.5% down at a fixed rate of 6.25% 30 year fixed, 20% down at a fixed rate of 5.75% d. 30 year fixed, 10% down at a fixed rate of 6%
Answer:
The awnser is D
Step-by-step explanation:
Edge 2020!
The loan option that has a 30 year period with the maximum down
payment the Williams can afford as well as a low rate is recommended.
Response:
The recommended loan option is option d. 30 year fixed, 10% down at a fixed rate of 6%.Which factors gives the loan with the lowest monthly payments?The given information are:
The amount at which the Williams are buying the house = $323,000
Percentage of down payment he can afford = 10%
Required:
The loan with the lowest monthly payment.
Solution:
The lowest fixed monthly payment is given by the loans that have the
longest period in which to pay back the loan, which includes the options;
b. 30 year FHA, 3.5% down at a fixed rate of 6.25%
c. 30 year fixed, 20% down at a fixed rate of 5.75%
d. 30 year fixed, 10% down at a fixed rate of 6%
Given that the Williams can afford a 10% down payment, option b. and
option c are the possible options.
The interest rate for option b is higher and option b has a lower down
payment than the interest rate and down payment for option c.
The lower the down payment, the higher the monthly payment.Therefore;
The option that has the overall lowest monthly payment is option d.
d. 30 year fixed, 10% down at a fixed rate of 6%.Learn more about monthly payment for a loan here:
https://brainly.com/question/2371137
Jimmy scored 49 goals in soccer this season. Tommy scored 7 times fewer goals. how many goals did Tommy score
slope = 3/4 , goes through the point (0, 6)
Answer:
y = 3/4x + 6
Step-by-step explanation:
5pm to 5 am how many hours
Answer:
12 hours
Step-by-step explanation:
Answer:
12 hours
Step-by-step explanation:
PLEASE HELP MATH HW DUE SOON
Answer:
One number is 43 and the other is -29
Step-by-step explanation:
If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers
Select the correct answer.
Select the lightest weight.
1 750 g
I 0.7 kg
7.5 kg
705
g
7.05 kg
Answer:
1 750 g
Step-by-step explanation:
hhhahahahahahahaha
Charlotte had to distribute 71 dollars among 6 people. What is left with Charlotte after distribution if all six got maximum equal dollars?
Answer:
5?
Step-by-step explanation:
A rectangular prism has a volume of 686 cubic units. How many unit cubes would fill the volume of the solid if they were packed without any gaps or overlaps?
Answer:
2 unit cubes of 7 units side length can fill the volume of the solid without overlap
Step-by-step explanation:
Volume of a cube is L^3
Let the number of cubes be n
Since the cubes are similar,
then;
nL^3 = 686
nL^3 = 343 * 2
By inspection
L^3 = 343 (since it is a perfect cube and the cube root is 7)
n = 2
Find the Area of the figure below, composed of a parallelogram and two semicircles.
Round to the nearest tenths place.
32
16
11
Two needed formulas,:
To find the area of a parallelogram, use
A = bh.
To find the area of a semicircle, use
Area = (πr^2)/2.
The area of the parallelogram is 11 x 32 or 352.
The two semicircle have the same measure.
The radius of the semicircle is (1/2)(16) or 8.
Area = (π8^2)/2
Area = 64π ÷ 2
A = 32π
There are two semicircle.
So, the area of both semicircle combined is
2(32π) or 64π.
Area of figure = 64π + 352.
Area of figure = 553.0619298304
We now round to the nearest tenths to get
Area of the figure = 553.06.
What is the lcm of 84,102 and 100
Step-by-step explanation:
[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]
[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]
[tex]\sf {3|{\underline{21,17,25}}}[/tex]
[tex]\sf {5|{\underline{7,17,25}}}[/tex]
[tex]\sf {\:\:{7,17,5}}[/tex]
LCM=2×2×3×5×7×17=7120Can someone please help me out with this question?
Answer:
10x³ + 12x² - 198x - 40
Step-by-step explanation:
Given parameters:
L(x) = 5x + 1
W(x) = 2x - 8
H(x) = x + 5
Unknown:
Volume = ?
Solution:
The volume of the body;
Volume = L x W x H
Insert the parameters and solve;
Volume = (5x + 1)(2x - 8)(x + 5)
Volume = (10x² - 40x + 2x - 8)(x + 5)
Volume = (10x² - 38x - 8 )(x + 5)
Volume = 10x³ - 38x² - 8x + 50x² - 190x - 40
Volume = 10x³ -38x² + 50x² - 8x - 190x - 40
Volume = 10x³ + 12x² - 198x - 40
263/4 plz answer thank you
Answer:
65.75
Step-by-step explanation:
All you do is divide.
Answer:
65.75
Step-by-step explanation:
Please give me Brainlest!
Solve x2 − 10x = −13.
A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the numbers from the equation into the formula.
[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]
Simplify:
[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]
[tex]\frac{10+/-\sqrt{48} }{2}[/tex]
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].
Hope this helps!