Answer:
Three toothpicks balance one cube.
Step-by-step explanation:
Let B, T and C stand for bean, toothpick and cube respectively.
If two cubes and one bean are balanced by eight toothpick, this means:
2C + B = 8T
If one cube is balanced by one bean and one toothpick, this means:
B + T = C. Therefore, we have two equations:
2C + B = 8T
B + T = C
Multiplying the second equation by 2, we have:
2B + 2T = 2C
Rearranging the resulting equation, we have:
-2C + 2B = -2T. Therefore, we have:
2C + B = 8T
-2C + 2B = -2T
Adding the last two equations, we have:
3B = 6T
Divide both sides by 3, we have:
B = 2T
Hence, two toothpicks balances one bean.
From the question, we are told
B + T = C
Substituting B = 2T, we have:
2T + T = C
3T = C.
Therefore, three toothpicks balance one cube.
Translate this sentence into an equation.
75 is the difference of Vanessa's age and 11.
Use the variable v to represent Vanessa's age.
PLEASEEE HELP MEE EXPLAIN YOUR ANSWER
Answer:
Width=5
Mark brainliest plzzz
Step-by-step explanation:
8x5x3=120
8x5=40
40x3=120
PLEASE HELP meeeeeeeeee
Answer:
$3000
Step-by-step explanation:
Look at where the x value is equal to 100 and look at what value the purple line intersects with when it reaches 100
you can see that when the purple hits 100 it is also on the 3000 line
hope this helps<3
PLS HELP
GIVING BRAINLIEST
The area of the triangle below is 3/4 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
6/5 ft is the height.
Answer:
b= 5/4
Step-by-step explanation:
A=1/2bh
3/4=1/2(b)(6/5)
3/4=6/10b
3/4=3/5b (You can simplify 6/10 to 3/5 by dividing by 2)
3/5÷3/4=b
5/3x3/4=b
15/12=b (You can simplify 15/12 to 5/4 by dividing by 3)
5/4=b
look at the pic plsss it’s due today:(
Answer:
the mean is 3.95
median is 2.75
Step-by-step explanation:
I'd say that the mean is the better center, because you need to even it all out. you have one big number compared the rest.
The median is a better center for this data since since that number is the common size of acres not the highest or lowest acre per 1000 residents
Graph the equation y=2x. Fill in the missing values in
the table.
Answer:
in this order (0,0) (1,2) (2,4) (3,6)
Step-by-step explanation:
pls mark brainliest
I can't see pictures, but to graph y=2x, you have to make 2x into slope form.
Just write 2 as a fraction, or 2/1. 2 is the rise, and 1 is the run. So start at the origin, or (0,0), and go up 2 units, then 1 unit right. So you start at (0,0), then now you should be at (1,2). Repeat the process to make a straight line.
---
hope it helps
for a right triangle if a = 11in , c = 15 in find b
Quickkk please help
Answer:
[tex] \huge\boxed{ \boxed{ \sf{2 \sqrt{26} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:Pythagoras theoremPEMDAStips and formulas:[tex]\sf Pythagoras\: theorem:\\ \sf a²+b²=c²[/tex]given:a=11 inc=15 inlet's solve:[tex] \sf step - 1 : make \: b \: the \: subject \: of \: the \: equation[/tex]
[tex] \sf \: shift \: {a}^{2} \: to \: the\: left \: hand \: side \: and \: change \: its \: sign : \\ \tt {b}^{2} = {c}^{2} - {a}^{2} [/tex][tex] \sf squre \: root \: both \: sides : \\ \tt\sqrt{ {b}^{2} } = \sqrt{ {c}^{2} - {a}^{2} } \\ \tt \: b = \sqrt{ {c}^{2} - {a}^{2} } [/tex][tex] \sf step - 2 : sustitute \:the \: value \: of \: c \: and \: a \: then \: simplify[/tex]
[tex] \sf substitute \: the \: given \: value \: of \: c \: and \: b : \\ \tt b = \sqrt{ {15}^{2} - {11}^{2} } [/tex][tex] \sf simplify \: squres : \\ \tt b = \sqrt{225 - 121} [/tex][tex] \sf substract : \\ \tt b = \sqrt{104} [/tex][tex] \sf simplify \: redica l : \\ \tt b = \sqrt{ {2}^{2} \times 26 } \\ \tt \therefore b = 2 \sqrt{26} [/tex]do you guys know how to do this i need help
#1 Describe the translation (slides) that
maps ABCD onto A'B'C'D'?
Answer: B
Step-by-step explanation: left 6, down 5
m + 2m + -4m = -5 What is m?
Answer:
m = 5
Step-by-step explanation:
Rewrite problem
m + 2m + -4m = -5
Combine like terms
-1m = -5
Divide -1 on both sides
-1m = -5/-1
m = 5
Check answer
5 + 2(5) +-4(5) = -5
5+ 10 + -20
-5 = -5
Hope this helps :)
PLZZ HELPP ILL GIVE BRAINLIST
Answer:
495.43
Step-by-step explanation:
Plssss help
•PQ
•PR
•PS
•QT
Answer:
=>. PQ
=> PQ is the altitude of this given traingle .
=>. because it is making 90° angle with QR
This is very easy. will give brainliest!!
Answer:
7. 158
8. 90 degrees
9. right angle
10. acute
Step-by-step explanation:
lm.ao if it's easy then do it lol jk here's the answers:) hope this helps
4.2.31
Richard and Teo have a combined age of 50. Richard is 14 years older than twice Teo's age. How old are Richard and Teo?
Answer:
4.2.31
Richard and Teo have a combined age of 50. Richard is 14 years older than twice Teo's age. How old are Richard and Teo?
aswer..RICHARD IS 20YEARS ODL
AND TEO IS 9YEARS OLD
A pack of gum cost $0.80. If the tax is an additional 5%, what is the total INCLUDING
tax?
Answer:
$0.84 I think is the answer
Maria earns $603.75 for 35 hours of work. What is her rate of pay per hour?
I legit forgot how to divide for some reason Can someone drop down the work for this question?
Answer:
17.25
Step-by-step explanation:
divide the pay by hours worked
What is 40 over 30 in decimal form
Answer:
[tex]\frac{40}{30}[/tex] = 1.33333
Infinite 3's
Triangle ABC was dilated around the origin by a scale factor of 2. The
vertices of the triangle are A' (0,6), B' (4,0) and C' (6,2). What are the
coordinates of the vertices of the original triangle?
Answer:
8,4
Step-by-step explanation:
What is the answer to this?
Answer:
f(-2)=3(-2)-4
=f(-2)=-10
A bag contains 8 blue marbles, 11 green marbles, and 7 red marbles. Which is the probability of drawing a green marble, replacing it AND then drawing a red marble from the bag?
A. 18
B. 77/676
C. 9/13
Answer:
I think it would be C. 9/13.
Answer:
B
Step-by-step explanation:
11/26 x 7/26 = 77/676
Select Yes or No to indicate whether each value of x is a solution to the given equation.
3/x-1= x + 1
Yes No
x= -2
x=1
X=2
Answer:
x = -2 YES
x = 1 NO
x = 2 YES
Step-by-step explanation:
Hope this helps <3
Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse ACAC. If AB=6AB=6 and AD=2,AD=2, what is the length of \overline{AC}?
AC
?
Answer:
x=18
Step-by-step explanation:
6/2= x/6
2x=36
Divide by 2
x=18
The measure of the hypotenuse AC will be AC=18
What is the right-angle triangle?A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
Given that the right triangle ABC with altitude BD drawn to hypotenuse AC. and AB=6 and AD=2,
The value of AC will be calculated as:-
6 / 2= AC / 6
2 x AC=36
Divide by 2
AC = 18
Hence, the measure of AC is 19.
To know more about right-angle triangles follow
https://brainly.com/question/20049222
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a 20 ounce box of cereal costs $3.60. what is the unit rate
Which of the following is a true statement?
Answer:
The first one is TRUE.
You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2
Find the 14th term of the geometric sequence 2, 4, 8,
Answer:
16,384
Step-by-step explanation:
The pattern is times 2
2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384
The 14th term is 16384
The required 14th term of the given geometric sequence 2, 4, 8, is 16384.
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The geometric sequence is given in the question as:
2, 4, 8, ...
To determine the 14th term of the geometric sequence 2, 4, 8, you can use the formula for the nth term of a geometric sequence, which is [tex]a_n = a_1 \times r^{(n-1)}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio.
In this case, the first term is 2, the common ratio is 2, and the term you want to find is the 14th term, so you can plug these values into the formula to get:
[tex]a_{14} = 2 \times 2^{(14-1)}[/tex]
= 2 × 2¹³
= 2 × 8192
= 16384
Therefore, the 14th term of the geometric sequence is 16384.
Learn more about geometric series here:
brainly.com/question/21087466
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PLEASE HELP!!!
In the diagram below, if m1 = 79, find the
measure of each numbered angle.
A bookstore sells 1 book for $14.75. Which table represents the relationship between number of books and the total price?
Answer:
The answer is A.
Step-by-step explanation:
The answer is A because if you divide the price by how many are sold it comes out to 14.75.
Answer: A
Step-by-step explanation:
1 book cost $14.75
2 books cost $29.50
3 books cost $44.25
4 books cost $59.00
5 books cost $73.75
6 books cost $88.50
7 books cost $103.25
A coin is tossed 7 times. What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answer:
0.0078125
Step-by-step explanation:
Probability of tail, p = 0. 5
Probability of getting all tails from 7 tosses :
P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail)
0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.0078125
We could also use the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - r)
n = 7 ; x = 7, p = 0.5,
P(x = 7) = 7C7 * 0.5^7 * 0.5^0 = 0.0078125
f(x) = -4x + 1; Find x = -1
help I will give brainiest
8^2 + 15^2 = 289.
square root of 289 = 17
CORRECT
Answer:
itis because the triangle has a 90° angle thus making it a right triangle