Answer: 2, 700 cubic ft.
Step-by-step explanation:
2420 + 280 = 2, 700
The formula for volume = Length x Width x Height (L x W x H)
11 x 10 x 22 = 2420
7 x 4 x 10 = 280
2420 + 280 = 2, 700
9. The hypotenuse of a 45°-45°-90° triangle is 5 sqrt 6. Find the length of one leg of the right triangle.
Answer:
5 ✓ 3
Step-by-step explanation:
using Pythagoras Theory
(5 ✓ 6 )2 =, 2 x square side
square leg length= 150/ 2=, 75
length =5 ✓ 3
A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer:
The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h
Step-by-step explanation:
System of Equations
Let's call:
B = speed (rate) of the boat in still water
S = speed (rate) of the stream
The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:
[tex]\displaystyle B-S=\frac{172}{3}[/tex]
Multiplying by 3:
3B - 3S = 172 [1]
The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:
[tex]\displaystyle B+S=\frac{372}{4}=93[/tex]
B + S = 93
Solving for B:
B = 93 - S [2]
Substituting in [1]
3(93 - S) - 3S = 172
Operating:
279 - 3S - 3S = 172
279 - 6S = 172
Subtracting 279:
- 6S = 172 - 279
- 6S = -107
Multiplying by -1 and solving for S:
[tex]S = \frac{107}{6}\approx 17.83\ km/h[/tex]
From [2]:
[tex]B = 93 - \frac{107}{6}[/tex]
[tex]B=\frac{451}{6}\approx 75.17\ km/h[/tex]
pls help as soon and as quick as possible I really need help
Answer:
(1,7)
(0,2)
(-1,-3)
(-2,-8)
put dots on these points and put a line through all of them making on line
solve for x each figure is a parallelogram
Answer:
[tex]18x + 8= (180 - 46) = 134 \\ 18x = 126 \\ \boxed{x = 7}[/tex]
7 is the right answer.What should be done to both sides of the equation in order to solve -5 m = -40?
Multiply by -5.
Multiply by -40.
Divide by -5.
Divide by -40.
Answer:
I know for a fact that it is Devide by nagative 5
Step-by-step explanation:
Merideth made a model of a pyramid like the one shown for history class.
What is the height of the model?
I un
15 in
app
The
Great!
e Building on the Essential Question How do you solve
Answer:
12
Step-by-step explanation:
there is a right angle so you can use Pythagoras therom to get the height it's going to be (15)^2-(9)^2 all under a square root = 12 in.
Class A has 20 pupils and class B has 19 pupils.
Both classes site the same maths test
The mean score for class A is 33.
The mean score for class B is 62
What is the mean score (rounded to 2 DP) in the maths test across
both classes?
Answer:
47.5
Step-by-step explanation:
33+62=95
95/2=47.5
Lee needs some school supplies. He will buy 3 notebooks for $1.29 each, 2 dozen
pencils at $3.45 a dozen and a box of pens for $14.85.a box. Lee estimates that he
will spend about $25 on these school supplies.
Is Lee's estimation reasonable? How much will he spend exactly?
The product of two consecutive integers is 72. Write a quadratic equation to find the integers, and then solve it.
Answer:
9 x 8
Step-by-step explanation:
Answer:
ok so basically what you do is since you know they are consecutive numbers, one is x and the other is x+1. Now when you multiply x and x+1 you get 72 , so this basically turns into a quadratic where x(x+1)=72. Thus,X^2+x=72. subtract 72 from both sides- x^2+x-72=0. Then you can solve for x using the quadratic formula or some other way and you get x to be 8 or -9. OH WAIT THERE IS ANOTHER SOLUTION IT IS -9 AND -8. . Anyway yea hoped this helped.
Step-by-step explanation:
Pls help me I’ll give 100 points
Answer:
Try option B
Step-by-step explanation:
sub to Pen Paper
Hi there!
So what we have to do here is...
turn 2³ - 1 into 2·2·2-1=4·2=8-1=7.
[tex]\frac{35}{7}=5[/tex]
Final Result: 5
Can someone please help me with number 16?
Answer:
I got 105°
Step-by-step explanation:
Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)
180 - 30 = 150°
150/2 = 75°
the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.
37.5 X 2 = 75°
180-75 = 105°
D = 105°
ASAP! please help, thanks
Answer:
d should be correct
Step-by-step explanation:
prove me wrong
How to calculate slope for a line that goes through
two points.
10.2: Practice
y
Find the slope of the line through these points. Try
making a table.
-3
6
(5.-3) and (-1.6)
Answer:
The slope is [tex]m=-\frac{3}{2}[/tex]
Step-by-step explanation:
The slope point equation is given by:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Here:
The first point is (x1,y1)=(5,-3)
The first point is (x2,y2)=(-1,6)
Then, the slope will be:
[tex]m=\frac{6-(-3)}{-1-5}[/tex]
[tex]m=\frac{9}{-6}[/tex]
[tex]m=-\frac{3}{2}[/tex]
I hope it helps you!
Yuto and Hila attempted to solve the same inequality. Their work is shown below.
Yuto’s Work
Hila’s Work
Negative two-thirds x + 9 greater-than 7. Negative two-thirds x + 9 minus 9 greater-than 7 minus 9. Negative two-thirds x greater-than negative 2. (Negative three-halves) (Negative two-thirds x) less-than (Negative three-halves) (Negative StartFraction 2 over 1 EndFraction). x less-than 3.
Negative two-thirds x + 9 greater-than 7. Negative two-thirds x + 9 minus 9 greater-than 7 minus 9. Negative two-thirds x greater-than 16. (Negative three-halves) (Negative two-thirds x) less-than (Negative three-halves) (StartFraction 16 over 1 EndFraction). x less-than negative 24.
Which statement is true about the work shown above?
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
Yuto is incorrect because he should not have reversed the inequality symbol.
Hila is correct because she isolated the variable correctly and reversed the inequality symbol.
Hila is incorrect because she should not have reversed the inequality symbol.
Answer:
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
Step-by-step explanation: hi
Answer:
The answer is A
Step-by-step explanation:
In other words, Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.
What five digits appear as the last digit of the multiples of 2
Answer:
0, 2, 4, 6, 8
Step-by-step explanation:
the first couple of multiples of 2 are...
2, 4, 6, 8, 10
the last digits are 0, 2, 4, 6, 8...
so, 0, 2, 4, 6, 8 are the last digits!
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
Order from least to greatest.
1.603; 1.036; 1.36; 1.063
Answer:
1.036, 1.063, 1.36, 1.603
Step-by-step explanation:
Hope this helped, have a great day :)
Krutika, David and Mark share some sweets in the ratio
2:2:1. Krutika gets 48 sweets. How many sweets are there
altogether?
Answer:
120
Step-by-step explanation:
Krutika:48
David: 48
Mark: 48÷2= 24
Because 2 : 2 : 1
48+48+24=120
(5x^2-3)+(2x^2-3x^3)
Answer:
[tex]-3x^{3}+7x^{2} -3[/tex]
Step-by-step explanation:
How to find percents of numbers using multiples of 100, 10, and 1%?
I need this for my summary, please help!!
Answer:
Im not too sure what the question is
Step-by-step explanation:
but when finding the percent of any number, 10% will always move the decimal over to the left once. So 10% of 300 is 30.0 This also works for 1%, you just move the decimal over twice. So 1% of 300 is 3
I= $164.50, P = $940, t = 2.5
Find the annual interest rate
250.35 that the anwers hope this help a lot
Work out the surface area of the solid cuboid.
8m
5m
2m
Answer:
Step-by-step explanation:
T.S.A=2(LXW) + 2(LXH) + 2(WXH)
=2(8mx5m) + 2(8mx2m) + 2(5mx2m)
=(2x40m²) + (2x16m²) + (2x10m²)
=80m² + 32m² + 20m²
=132m²
Sue makes and sells cupcakes. If she has a cost of $1,500 per year plus a cost of $1 per cupcake, how many cupcakes must she sell in order to make a profit if each cupcake sells for $3?
Answer:
751 cupcakes must be sold to make a profit
Step-by-step explanation:
From the question we are told that
Annual cost= $1,500 per year plus a cost of $1 per cupcake
Each cup cake sell at $3
Generally the profit off the top of each cupcake is $2
Therefore
[tex]\frac{1500}{2}=750[/tex]
This implies that 750 cupcakes will be sold to cover the annual cost excluding cupcake cost
Generally
751 cupcakes=$1502
Total Annual cost to make a profit
[tex]1(cost\ of\ each\ cupcake)*751+1500=\$2251[/tex]
Total Annual sale
[tex]3(sale of each cupcake)*751=\$2253[/tex]
Mathematically
[tex]2253\$-2251\$=2\$[/tex]
Therefore
751 cupcakes must be sold to make a profit
guys im in school right now helppppppp please xoxo
Answer:
question A: 50%
Step-by-step explanation:
For question A: the percentage is ( enroll(2014) - enrol(2012) ) / enrol(2012) for that is 0.5 = 50%, same method for the other questions
HELP PLEASE!!!!!!!
A restaurant sells 10 garden salads. If garden salads represent 20% of their total salad sales, how many salads did they sell?
(I need to turn this in tomorrow, please help)
Help me solve this ! Thank you ,
Answer:
170.8
Step-by-step explanation:
In a complete paragraph, explain why it's important to think about the complexity of your speech.
Use your own words please.
Answer:
I will try it :)
Step-by-step explanation:
thanks for the points.
what is the solution for 10x + 3 = 6x +5
Answer:
x=1/2
Step-by-step explanation:
10x+3=6x+5
10x-6x=5-3
4x=2
divide both by 4
x=1/2
Answer:
Therefor X = 1/2
Correct answer ✅
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60