Answer:
25 and 15
Step-by-step explanation:
let the 2 numbers be x and y , x > y , then
x + y = 40 → (1)
x - y = 10 → (2)
add the 2 equations term by term to eliminate y
2x + 0 = 50
2x = 50 ( divide both sides by 2 )
x = 25
substitute x = 25 into (1)
25 + y = 40 ( subtract 25 from both sides )
y = 15
the 2 numbers are 25 and 15
What kind of force can an. Elastic material exert
Answer:
i hope this helps "Elasticity is the ability of a material to return to its original shape after being stretched or compressed. When an elastic material is stretched or compressed, it exerts elastic force. This force increases the more the material is stretched or compressed."
Step-by-step explanation:
Rolling a 3 or rolling an odd number on a six sided die. Is it mutually exclusive or non-mutually exclusive? Give one reason.
Answer:
Non-mutually exclusive
Step-by-step explanation:
both events can happen simultaneously... 3 is an odd number, events A and B have a common outcome.
It would be mutually exclusive if event A was rolling a 4 and event B was rolling an odd number.
===================================================
Explanation:
Ask yourself "is it possible to get a 3 and an odd number at the same time?"
The answer is "yes, because 3 is an odd number"
This is why they are non-mutually exclusive.
Mutually exclusive events cannot happen at the same time. In terms of a venn diagram, mutually exclusive events would be represented by two circles that do not overlap. The overlapping region is where the two events happen at the same time. An example of mutually exclusive events would be flipping a single coin to land on heads and tails at the same time.
If 3x + c = 4, then x equals
A: 4-c
B: 4 -c/3
C: c-4/3
D: c-4
Answer:
4-c/3 is ans
Step-by-step explanation:
3x+c=4
3x=4-c
x=4-c/3
Help me solve this equation..
Let a be the area of the triangle
Let b be the area of the parallelogram
[tex]a = \frac{16 \times 9}{2} = 72 \: cm {}^{2} [/tex]
[tex]b = 30h \: cm {}^{2} [/tex]
Given that b is 5 times larger than a
b=5a
[tex]30h = 5(72)[/tex]
[tex]h = \frac{360}{30} = 12 \: cm[/tex]
Find the slope and y-intercept of the graph of the linear equation. y=-3x+2
Answer:
Slope= -3
y-intercept= (0,2)
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
Helena asked five drama club members in her homeroom how many tickets they had sold. The mean number of tickets sold was 16.
Then she took ten random samples from the entire drama club of 75 students. The mean number of tickets sold was 22.5.
Compare the means. Is one sample a better representation? Explain why or why not.
Using the Central Limit Theorem, considering the higher sample size, the sample of 75 students, with a mean of 22.5, is a better representation.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
A higher sample size leads to a smaller standard error, hence the sample of 75 students, with a mean of 22.5, is a better representation.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
#SPJ1
Answer:
This is my answer:The second one is better. the entire drama club one was better because the sample is large enough .It also comes from a bigger and more varied group of students thus it is less likely to be biased.
Step-by-step explanation:
Edge test and I got it right :D
Work out 3x-y divided by 2.
When x=9 and y=2
Answer:
19682
Step-by-step explanation:
3^9-2÷2
19683-2÷2
19683-1
19682
try this instead
Hey there!
3x - y / 2
= 3(9) - 2 / 2
= 27 - 2 / 2
= 25 / 2
= 12.5
≈ 12 1/2
Therefore, your answer is: 12.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
subtract
12x - (4+ 3x)
What is the measure of the unknown angle?
Image of a straight angle divided into two angles. One angle is eighty degrees and the other is unknown.
Answer:
The other angle is 100
Step-by-step explanation:
A straight line is 180, and if one angle is 80, then 180-80=100, giving you your answer. ^^
Answer:
i think the answer will be 180-80?
HELPPP Consider the following polynomial:
x4 - 5x+ 2x² + x2-9
The coefficient of the linear term is I
The coefficient of the quadratic term is
The coefficient of the cubic term is
Answer:
answer in picture
Step-by-step explanation:
Find the value of X.
Answer:
x=13
Step-by-step explanation:
Answer:
Step-by-step explanation:
(11x-15)+(5x-13)=180
11x+5x=180+13+15
16x=208
x=13
HELp and show ur work Which of the expressions below has a product that is greater than 100? Select all that apply. A) 5.12 × 20 B) 10.95 × 9 C) 11.24 × 9 D) 12.18 × 8
Which answer is correct
A B C D
Answer:
by technicality, both a and c are correct
Step-by-step explanation:
a) 5.12 x 20 = 102.4
b) 10.95 x 9 = 98.55
c) 11.24 x 9 = 101.16
d) 12.18 x 8 = 97.44
What is the diameter for a circle with 32 cm, 34 cm, and 39 cm? Please and thank you!
Answer:
64; 68; 78
Step-by-step explanation:
The diameter of a circle is the radius of the circle times two.
hope I helped you! :)
the subject of the formula is 9.
y=4x+3
rearrange the formula to make x the subject.
Answer:
[tex] x = \frac{y - 3}{4}[/tex]
Step-by-step explanation:
[tex]y = 4x + 3 \\ y - 3 = 4x \\ \frac{y - 3}{4} = \frac{4x}{4} \\ x = \frac{y - 3}{4}[/tex]
The tens digit of a three digit number exceeds its units digits by 3. If we were to swap the 100's digit and the unit's digit, the new number would be 297 more than the original number. If we were to remove the hundreds digit from the original number, the two digit number obtained would be 13 less than half the original number. What's the original number?
Answer: 174
Step-by-step explanation:
Let's define the notation:
U = units digit
T = tens digit
H = hundreds digit.
Where the number is HTU.
We know that:
T = U + 3
"UTH" - "HTU" = 297.
"TU" = "HTU"/2 - 13.
First, let's wrote this correctly, and make a system of equations:
T = U + 3.
U*100 + T*10 + H - H*100 - T*10 - U = (U - H)*99 = 297.
T*10 + U = (H*100 + T*10 + U)/2 - 13 = H*50 + T*5 + U*0.5 - 13
Then we have the system of equations:
T = U + 3.
(U - H)*99 = 297
T*10 + U = H*50 + T*5 + U*0.5 - 13.
First, we can replace the first equation into the third one, so now we have only two variables.
(U - H)*99 = 297
(U +3)*10 + U = H*50 + (U + 3)*5 + U*0.5 - 13.
Now we can isolate H in the first equation and get:
(U - H) = 297/99
H = -297/99 + U.
Now we can replace it into the other equation:
(U +3)*10 + U = (-297/99 + U)*50 + (U + 3)*5 + U*0.5 - 13.
Now let's solve this for U.
U*10 + 30 + U = U*50 -150 + 5*U + 15 + U*0.5 - 13
11*U + 30 = U*(50 + 5 + 0.5) - 148
30 +148 = U*(55.5 - 11) = U*44.5
U = 178/44.5 = 4.
Then using the previous equations:
T = U + 3 = 4 + 3 = 7
H = -3 + U = -3 + 4 = 1.
Then our number is:
174.
Michelle withdrew $120 from her bank
account. She now has $3345 in her
account. Write and solve an equation to
find how much money m was in her
account before she made the withdrawal
Answer:
3345+120=3465
Step-by-step explanation:
One leg of a right triangle is 10 units, and its hypotenuse is 12 units, What is the length of its other leg? (show your work)
Answer:
6.6 unitsStep-by-step explanation:
see attached image
use Pythagorean to solve the other leg of a triangle
b = [tex]\sqrt{12^2 - 10^2}[/tex]
b = [tex]\sqrt{44}[/tex]
b = 6.6 units
The Case of the Bogus $20 Bill
A customer goes into a shoe store and buys a pair of shoes for $5, but pays with a counterfeit $20 bill. The shoe store owner does not realize that the $20 bill is bogus. However, the shoe store owner notices that she does not have change for the $20 bill - so she runs to the grocer next door. The grocer gives the shoe store owner four $5 bills for the bogus $20 bill. The shoe store owner returns to her store and gives the customer the shoes and $15 change. Later the grocer arrives at the shoe store with the FBI to inform the owner that the $20 bill was bogus! So the shoe store owner is forced to give the grocer $20, and the FBI keeps the bogus bill. How much did the shoe store owner lose?
Answer:
15 dollars
Step-by-step explanation:
they lost 20 but made 5 back from the "sale"
Sense or nonsense Peter and Jade are using what they know about properties to write an expression equivalent to 2×(n+6)+3 whose answer makes sense? Whose answer is nonsense? Explain your reasoning.
Answer:
Jade's work makes sense, Peter's does not.
Step-by-step explanation:
What's wrong with Peter's work:
Peter did not apply associative property correctly. You cannot change what is inside the parenthesis. He also shouldn't be using associative property to solve this equation because it just doesn't make sense!
Jade's work:
She applied distributive property correctly and multiplied each term in the parenthesis by 2. All of her processes are logical and make sense! I could go on, but everything is correct lol
Best of wishes mate!
Answer:
Jade because she followed the correct order of operations.
Step-by-step explanation:
Always remember your order of operations.
P - parentheses
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
Please Excuse My Dear Aunt Sally is the common phrase used to remember though I find PEM-DAS just as easy to remember.
The circumference of a circle measures 11.27 pie ft. What is the measure of the diameter of this circle?
Answer:
11.27
Step-by-step explanation:
If I understand you question right...
C = d x π
11.27 π = d x π
divide both sides by π
11.27 = d
Which temperature is the warmest?
-4°F
-13°F
-28°F
2° F
Answer:
2*f
Step-by-step explanation:
because all the rest are negative
Which formula would you use to calculate the circumference of a circle where r=radius
Solve for x this is hard:(
Answer:
x is 9
Step-by-step explanation:
since they are vertical angles, they are congruent. We make an equation putting each one behind the equal sign (7x+3=10x-24) and we solve.
1.5 - 3.75 rewritten as addition is 1.5 + (-3.75)
O True
O False
Answer:
true
Step-by-step explanation:
The answer to the question is true
for 100 points asap
please give right anser
Answer:
224mm²
Step-by-step explanation:formula for area of triangle = base x height x 1/2
8x10 = 80 80 / 2 = 40 40 x 4 = 160 area for square =base x height
the pyramid is comprised of four triangles and one square, all we need is to find the individual surface areas of the shapes that compose the pyramid
Answer:
(a) see attached
(b) Surface area = 224 mm²
Step-by-step explanation:
A square based pyramid is made up of a square at the base and 4 congruent triangles as the sides which meet at one point.
Area of a triangle = 1/2 × base × height
⇒ area of one triangle = 1/2 × 8 × 10
= 40 mm²
Area of a square = s² (where s is the side length)
⇒ area of base = 8²
= 64 mm²
Total surface area = 4 × area of one triangle + area of the base
= 4 × 40 + 64
= 224 mm²
Solve the system of equations.
Choose your method:
2x - y = 7
x - y = 10
Can someone help me? please and thank you. Find the value of x. Leave your answer in simplest radical form.
Answer:
√61
Step-by-step explanation:
using Pythagorean theorem,
h²+b²=hy²
h²+b²=hy²4²+2²=hy²
h²+b²=hy²4²+2²=hy²16+4=20
h²+b²=hy²4²+2²=hy²16+4=20hy²=20
therefore in radical form, Hy=√20
with the same theorem;
h²= hy²-b²
b² is initially given as (√20)²
hy² is given as 9²
h²=9²-(√20)²
h²=81-20
h²=61
h=√61
Write an equation for the graph in the photo.
Answer:
1.75x
Step-by-step explanation:
Augment is 5 1/3 feet tall how many inches tall is she
Answer:
64 inches tall
Step-by-step explanation:
We know in 1 foot, there are 12 inches.
We can convert 5 1/3 feet to 16/3 feet.
To do this you convert 5 feet to 15/3 feet and add it to 1/3 feet.
So we now have 16/3 feet and we will multiply by 12 to find the number of inches she is.
16/3 * 12 = 64 inches tall
46 plugs =. Feet. Inches
Help
Answer:
Not a real thing
Step-by-step explanation: