Answer:
312-170=142
142÷2=71
170+71=241
241+71=312
train A weighs 241 tons
8. Subtact (7x – 10) – (-6x – 8).
Answer:
13x - 2
Step-by-step explanation:
7x - -6x = 7x + 6x = 13x.
-10 - -8 = -10 + 8 = -2
13x - 2
Answer:
13x - 2
Step-by-step explanation:
( 7x - 10 ) - ( -6x - 8 )
First, distribute the minus sign outside of the second parenthesis. Multiply each term within the second parenthesis by the minus sign.
( 7x - 10 ) + ( (-1)(-6x) + (-1)( -8))
Simplify,
( 7x - 10 ) + ( 6x + 8 )
Remove parenthesis,
7x - 10 + 6x + 8
Simplify, combine like terms,
7x - 10 + 6x + 8
13x - 2
An Isoceles Triangle has base 6cm long and the opposite angle to the base is 50 degrees l. What is the size of the other angle?
Answer:
65°
Step-by-step explanation:
From the question,
The base angle of an isoceles triangle are equal.
Let the value of the base angles = x°
Sum of angle in a triangle = 180°
⇒ x°+x°+50° = 180°
⇒ 2x°+50° = 180°
⇒ 2x° = 180°-50°
⇒ 2x° = 130°
⇒ 2x°/2 = 130/2
⇒ x° = 65°.
Hence, the size of the other angles is 65°
The ratio of girls to boys in a gardening club was 4:2. There were 12 boys. How
many girls were there in the club?
Answer:
24
Step-by-step explanation:
girls:boys = 4:2
12 = 6 x 2
so
girls = 6 x 4 = 24
and lets simplify to check
24:12 = 24/6:12/6 = 4:2
Can I get help It’s Worth 58 Points if it’s the right answer I will pin you
The average temperature in the South Pole in January is about -18 °F. The average temperature in Tennessee in January is 47°F. What is the difference in the temperatures?
Answer:
65 degrees Fahrenheit
Step-by-step explanation:
47 - (-18) = 65
Answer: I believe it is 65
Todd moved 1/3 of his yard in the morning and then 3/6 of his yard in the afternoon. How much yard did Todd move so far?*
Answer:
5/6 of his yard
Step-by-step explanation: 1/3+3/6=5/6
pick all that apply plz I need help
Answer: D
Step-by-step explanation: You need to divide the figure into 2 parts. You need to ignore 13 m And use the other numbers. Figure A is 9x3x4 and Figure B is 7x4x4 because the other 4 is at the bottom. I hope this helps. Good luck!
Divide $28 amongst three people so that their shares are in the ratio 5 : 8 : 1
If the terminal point of ø is (-1,0), what is tan ø?
The SOH CAO TOA identity is used to determine the acute angles of a right triangles. The terminal point of ø is (-1,0), what is tan ø is 0
Given the terminal point (-1, 0), the value of tanø is expressed as:
tanø = opposite/adjacent
tanø = y/x
From the coordinate given:
x = -1
y = 0
Substitute
tanø = 0/-1
tanø = 0
Hence the terminal point of ø is (-1,0), what is tan ø is 0
Learn more on terminal point here: https://brainly.com/question/1621860
#SPJ2
One repair service company charges $27 for a house call plus
$10 per hour. A different company charges $15 for a house
call plus $13 an hour. After how many hours will the price for
the service call be the same for the two companies?
Answer:
4
Step-by-step explanation:
27+10(x)
15+13(x)
27+10(4)=67
15+10(4)=67
Select all the pairs that are alternate interior angles.
Answer:
angle 3 and angle 5
angle 2 and angle 8
PLEASE I NEED HELP ON This Please
Answer:
33
Step-by-step explanation:
The pattern is y = 5x + 8.
So, plugging in 5 for x gives you y = 5(5) + 8 = 33.
I need help like I really dont know how to do this i need help fast
Answer:
44 units² or 44 units squared
There really isn't a preference of units, like inches or meters, so you can add that in.
Step-by-step explanation:
Haha, this is what we're doing in class!
Okay, so the formula for a trapezoid is A= ½ (b1+b2) h
14= b1
8= b2
Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.
Here's some helpful notes:
I hope this was helpful!
I NEED TO REPLACE MY CONCRETE IN 7 YEARS. THE TOTAL COST IS $15,000, HOW MUCH DO I NEED TO SAVE ANNUALLY AT 5%.
9514 1404 393
Answer:
$1,754.57
Step-by-step explanation:
If you put the amount in savings at the beginning of the year, then the balance after 7 years is ...
A = P(1 +r)((1 +r)^7 -1)/r . . . . for payment P at annual rate r for 7 years
15000 = P(1.05)(1.05^7 -1)/0.05 = 8.54911P
Then the amount P that needs to be saved is ...
15000/8.54911 = P = 1754.57
You need to deposit $1,754.57 at the beginning of each year for 7 years to have a balance of $15,000 at the end of 7 years.
_____
If you wait until the end of the year to deposit the money, the amount will need to be 5% higher: $1,842.30.
Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake
Answer:
jasmine can make 14 cupcakes
Step-by-step explanation:
5 1/4 = 5.25
3/8 = 0.375
5.25/0.375 = 14
Which is the answer? :(
Answer:
the answer is :)
Step-by-step explanation:
Answer:
D because the triangle has to be congruent
what is the value of the expression 8-(2 cubed +48) divided by 8
PLEASE NO LINKS
ASAP
Answer:1.5
Step-by-step explanation:
8-(2^2+48)/8
8-32-6
8-38
-30
---
hope it helps
sorry if i'm wrong, I having a hard time processing things today
How do you solve x²-6x+34=0?
Answer:
[tex]x = 3\pm 5i[/tex]
Step-by-step explanation:
Quadratic formula
[tex]x = \frac{6 \pm \sqrt{36-4(1)(34)}}{2(1)}[/tex]
There are no real solutions since the discriminant is negative.
Simplify this to get x = 3+5i, 3 -5i
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height
= [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2
= [tex]\frac{1}{2}[/tex]× (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
NEED HELP QUICK!!
Determine how much you would recieve in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest. Show your work.
Answer: See explanation
Step-by-step explanation:
We are going to solve this by using the Simple interest formula which is:
= Principal × Rate × Time
= 500 × 3% × 8/12
= 500 × 0.03 × 2/3
= 10
Therefore, the interest will be $10 ane the total amount that'll be paid back will be:= $500 + $10 = $510
8.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 10; your car travels for 10 hours.
B. 212; your car travels 212 miles.
C. [tex]\frac{53}{1}[/tex], Your car travels 53 miles every 1 hour.
D. [tex]\frac{1}{53}[/tex]; Your car travels 53 miles every 1 hour.
Answer:
The answer is D) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
Step-by-step explanation:
Answer:
C) rate of change is 53, your car travels 53 miles every 1 hour .
Step-by-step explanation:
Given : Table for time and distance.
To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Solution : We have given that Table for time and distance.
rate of change= (change in y)/(change in x) .
rate of change=(212)/(4) .
rate of change = 53.
rate of change= (318)/(6).
rate of change = 53
rate of change = (424)/(8).
rate of change = 53.
rate of change = (530)/(10) .
rate of change = 53.
Therefore, C) rate of change is 53, your car travels 53 miles every 1 hour .
angle relations
A) 73°
B) 149°
C) 163°
D) 31°
Answer:
D
Step-by-step explanation:
those angles are vertical angles so they are congruent.
11 with Exponent P 4
Find the slope of the line that passes through (1, 3) and (10, 10).
Answer:
m=7
9
Step-by-step explanation:
10-3
10-1 answer 7/9
Please help me with this. Its easy but I'm du.mb.
Answer:
1. Greatest Common Factor
2. Fraction
3. Simplest Form
Step-by-step explanation:
Find the slope of the line in the graph.
Answer:
rise over run 2/10 siplified 1/5
Step-by-step explanation:
The product of two consecutive negative even integers is 24. Find the largest integer.
Answer:
-4
Step-by-step explanation:
ok negative times negative = positive
and factors of 24 are
1,2,3,4,6,8,12,24
4 x 6 are the two consecutive EVEN numbers
so turn it to negative
-4 x -6 = 24
The largest is -4
no questions ignore the other one
Answer:
ok
Step-by-step explanation:
Answer:
alright lol
Step-by-step explanation:
Write an equation to represent the following statement.
10 less than j is 35.
Answer:
j-10=35
Step-by-step explanation:
10 less than j means j-10 is 35
=> j-10=35
Answer:
f-10=35 thus meaning f=45
Step-by-step explanation:
f - 10 = 35
+10 +10
f=45
Hope you find this usefull
-Aj-;)
C = 2n + 1 i need help with this i have no clue how to do it
Answer:
3...?
Step-by-step explanation:
1+2=3