Answer:
8 puppies
Step-by-step explanation:
Total = 40
Ratio = 1:4
Total Parts = 4+1 = 5
Divide this from the total
=> 40/5 = 8
Now, Multiply the result with the ratios:
=> 4 * 8 = 32
=> 1 * 8 = 8
Answer: total number of puppies:40
Ratio of puppies to adults;1:4
1x+4x=40… 1x puppies
4x adult dogs
5x=40:x=40/5=8
No. Of puppies=1*8(x=8)
No.of adult dogs=4*8:32
Liam wants to treat some friends to lunch. He has $50 and knows that lunch will cost about $8 per person, p. How many people can Liam buy lunch for?Part A- Write and solve an inequality to represent the Situation
Answer:
T ≥ 8x
50 ≥ 8x .......1
x ≤ 6
Liam can buy lunch for 6 people.
Step-by-step explanation:
Let x represent the number of people Liam can buy lunch for.
Given;
Lunch cost per person r = $8 per person
The total amount he has T = $50
The cost of buying lunch for c people is;
C = $8 × x
C = 8x
Therefore, to be able to buy lunch for them, the total cost C must be less than the total amount he has.
T ≥ C
Substituting C, we have;
T ≥ 8x
50 ≥ 8x ,.......1
Solving the inequalities;
8x ≤ 50
x ≤ 50/8
x ≤ 6.25
To the nearest whole number;
x ≤ 6
Liam can buy lunch for 6 people.
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
Answer:
JL = 32
Step-by-step explanation:
We are told in the above question that:
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
From the attached diagram, we can see that
JL : JK = JK: JM
Therefore,
JL/ JK = JK /JM
Where JL = Unknown
JK = 24
JM = 18
JL/ 24 = 24/18
Cross Multiply
24 × 24 = JL × 18
Divide both sides by 18
JL = (24 × 24) /18
JL = 576/18
JL = 32
f(x)=-3√(x-3)-1 which of the following graphs corresponds to the function above
Answer:
Step-by-step explanation:
graph attached
Answer:
graph y
Step-by-step explanation:
factorize:
(1 - a^2) (1 - b^2) + 4ab
Answer:
(ab+a-b+1)(ab-a+b+1)
Step-by-step explanation:
(1 - a²) (1 - b²) + 4ab= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)= (ab+1)² - (a-b)²= (ab+1 +a-b)(ab+1 -a+b)= (ab+a-b+1)(ab-a+b+1)Can someone help me please
I need help with this please
Hey there! :)
Answer:
0.3.
Step-by-step explanation:
Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:
The probability of rain on a day less than 80°F is 0.3.
the sum of the ages of an uncle and nephew 2 years ago was 40.In 2 years time from now the age of the uncle will be 3 times that of his nephew by then.Find their ages now
Answer:
Uncle is 34. Nephew is 10.
Step-by-step explanation:
Let u equal the age of the uncle, and n equal the age of the nephew.
First, two years ago, the sum of their ages was 40. We can represent this by subtracting 2 from each variable. Thus:
[tex](u-2)+(n-2)=40[/tex]
[tex]u+n-4=40[/tex]
[tex]u+n=44[/tex]
Next, in two years time, the uncle will be three times as old as his nephew. We can represent this by adding 2. Thus:
[tex]u+2=3(n+2)[/tex]
We now have a system of equations and can solve accordingly.
First, from the first equation, we can determine that:
[tex]u=44-n[/tex]
We can substitute this into the second equation.
[tex](44-n)+2=3(n+2)[/tex]
[tex]46-n=3n+6[/tex]
[tex]40=4n[/tex]
[tex]n=10[/tex]
Thus, the nephew's age is 10.
And the uncle's age is 44-10 or 34.
The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the circuit will last more than 2000 hours?
Answer:
0.865
Step-by-step explanation:
To solve for the probability we would be using the formula:
F(x) = 1 - e^−λx
Therefore, P(x > 2000) = F(x) = 1 - e^−λx
Mean = 1000 hours
λ = 1/mean = 1/1000 hours
x= 2000 hours
F(x) = 1 - e^−(1/1000)2000
F(x) = 1 - e^−2
= 0.8646647168
Therefore, the probability the the circuit will last at least 2000 hours = 0.865
Plz help also can you plz explain
Answer:
-1, 1
Step-by-step explanation:
what is 1/3 of -3 and 3
work out 5^-2 x 3 square root 8
Answer:
6root(2)/25
Step-by-step explanation:
5^-2 = 1/25
3(root(8)) = 6(root(2))
so you get 6(root(2))(1/25)
= 6(root(2))/25
The required simplified value of the given expression is 0.34 or 6√2 / 25.
Given that,
Expression to simply ios given,
5⁻² x 3√8
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Simplification =>
= 5⁻² x 3√8
= 1/ 5⁻² x 3 x 2 √2
= 6√2 / 25
= 0.34
Thus, the required simplified value of the given expression is 0.34 or 6√2 / 25.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Simplify the expression x5 • x7.
Answer:
x12
Step-by-step explanation:
When multipling numbers that are the same with exponent you can just add the exponents.
so x5*x7=x12
(It would be subtraction if there was division)
Hope this helped you and feel free to ask questions!
Answer:
x^12
Step-by-step explanation:
When multiplying exponents, the rule below is followed.
[tex]x^a * x^b= x^{a+b}[/tex]
Basically, the base remains the same, but the numbers in the exponents are added.
We are given:
[tex]x^5*x^7[/tex]
We leave the base (x)as is, and add the numbers in the exponents (5 and 7).
[tex]x^5*x^7\\[/tex]
[tex]x^{5+7[/tex]
[tex]x^{12}[/tex]
The expression [tex]x^5*x^7\\[/tex] can be simplified as: [tex]x^{12{[/tex]
What is the inverse of the function f(x) = one-quarterx – 12?
Hey there! :)
Answer:
y = 4x + 48
Step-by-step explanation:
Original equation:
y = 1/4x -12
Switch 'x' and 'y' to solve for the inverse:
x = 1/4y - 12
Add 12 to both sides:
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4:
4(x+12) = y
4x + 48 = y
The inverse is y = 4x + 48
Answer:
4x + 48
Step-by-step explanation:
f(x) = 1/4x - 12
y = 1/4x - 12
Add 12 to both sides.
y + 12 = 1/4x
Multiply both sides by 4.
4y + 48 = x
Switch variables.
4x + 48 = y
Help please! Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of MT? A.) 7 B.) 24 C.) 74 D.) 100
Hey there! :)
Answer:
C) 74 units.
Step-by-step explanation:
MT is congruent to KT because the diagonals of a quadrilateral bisect each other. Therefore:
8y + 18 = 12y - 10
Subtract 8y from both sides:
18 = 4y - 10
Add 10 to both sides:
28 = 4y
Divide both sides by 4:
28/4 = 4y/4
y = 7 units. Plug this into the equation for MT:
8(7) + 18 = 74 units.
Answer:
74
Step-by-step explanation:
Set up the equations
8y + 18 = 12y -10
Combine like terms
28 = 4y
Divide each side by 4
y=7
Plug in the value of y in the equation of 8y + 18 since that's the value for MT
8(7) + 18 = 74
Hope this helps!
Find x A. 46–√ B. 32 C. 43–√ D. 6–√
Answer:
[tex]\textbf{A. }4\sqrt{6}[/tex]
Step-by-step explanation:
The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.
The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.
[tex]x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}[/tex]
pleaseeeeeeeeeee helllllllllpppppppppppp
Answer:
a)16 (2*2*2*2= 16)
b)16 (-4*-4-16)(-+-=+)
c)500 (5*5*5=125 125*4=500)
d)0.49 (0.7*07)
e)480 (4^=16 9^=81 121^0=1 16+81 -1 =96 96*5=480)
f)5^2 or 25 (a^m/ a^n=a^m-n)
g) 11^14 (reason same as the f one)
h)8.20
i) 4(-4*16=64)
j)900
Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 495495 and standard deviation 118118 . You choose an SRS of 100 students and average their SAT Critical Reading scores. If you do this many times, the standard deviation of the average scores you get will be close to 118100=1.18118100=1.18 . 118100√=11.8118100=11.8 . 118100⎯⎯⎯⎯⎯⎯√=1.09118100=1.09 . 118118 .
The question is not typed properly! Complete question along with answer and step by step explanation is provided below.
Question:
Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 495 and standard deviation 118 .
You choose an SRS of 100 students and average their SAT Critical Reading scores. If you do this many times, the standard deviation of the average scores you get will be close to
a. 118
b. 118/100=1.18
c. 118/√100= 11.8
d. cannot be determined
Answer:
The standard deviation of the sample would be
[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]
The correct option is (c)
Therefore, the standard deviation of the average scores you get will be close to 11.8
Step-by-step explanation:
From the given information,
The population mean SAT critical reading score is
[tex]\mu = 495[/tex]
The population standard deviation is
[tex]\sigma = 118[/tex]
You choose an SRS of 100 students and average their SAT Critical Reading score.
[tex]n = 100[/tex]
Since the sample size is quite large then according to the central limit theorem,
The mean sample will be the same as the population mean SAT critical reading score.
[tex]\bar{x} = \mu = 495[/tex]
The standard deviation of the sample would be
[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]
The correct option is (c)
Therefore, the standard deviation of the average scores you get will be close to 11.8
If ∠R is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for ∠Q.
Answer:
To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle.
Step-by-step explanation:
We just saw how to find an angle when we know three sides. It took quite a few steps, so it is easier to use the "direct" formula (which is just a rearrangement of the c2 = a2 + b2 − 2ab cos(C) formula). It can be in either of these forms:
cos(C) = a2 + b2 − c22ab
cos(A) = b2 + c2 − a22bc
cos(B) = c2 + a2 − b22ca
Answer:
Law of cosines, two sides and the included angle known
Step-by-step explanation:
double check that the question is exactly the same to make sure you get the question correct
"If ∠P is given and the values of r and q are given, then explain whether the Law of Sines or the Law of Cosines should be used to solve for p."
BRAINLIEST! will give BRAINLY! can someone please explain, I don't understand how to do this.
Answer:
101.58 in
Step-by-step explanation:
The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.
The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.
Using the sine ratio in the right triangle, then
sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )
r × sin16° = 28 ( divide both sides by sin16° )
r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in
Answer:
The 3rd answer
Step-by-step explanation:
ANSWER ASAP PLEASE!!!!!!!!!!!! THANKS!!!!!!!!! :)
Answer: the answer is A
Step-by-step explanation:
NEED HELP NOW!!! Need help finding vertex form
Answer:
y = (x-.5)^2 -12.25
Step-by-step explanation:
first, find the vertex
x from (x,y) = -b/2a
ax^2-bx - c
1x^2-1x -12
-1/2(-1) = -1/-2 - 1/2
(1/2,y) then use x value to find y value
y = 1/2^2 - 1/2 - 12
y = .25 -.5 - 12 = -12.25
(.5,-12.25) input values into this formula:
y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1
y = (x-.5)^2 -12.25
Which fraction is graphed ?
Answer: B is the correct choice
Step-by-step explanation:
The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.
The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.
The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.
Write an equation of the line that is perpendicular to y = 1/2x +3 and passes through the point
(10,-5)
Answer:
y = -2x+15Step-by-step explanation:
[tex]y = 1/2x +3\\m =1/2\\m_1m_2 = -1\\1/2m_2 =-1\\m_2= -2\\(10 ,-5)\\x = 10\\y = -5\\y = mx+b \\-5 = -2(10) + b\\-5=-20+b\\-5+20 =b\\b = 15\\m = -2\\Substitute -given -values- into- slope -intercept-form\\y = mx+b\\y = -2x+15[/tex]
Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred? A. P(B A) P(A) ∙ P(B) B. P(B A) P(A) C. P(B A) P(B) D. P(B A) P(B)
Answer:B
Step-by-step explanation:
Please please please urgent help❤️❤️❤️
Answer:
its G(2)
Step-by-step explanation:
Gg
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages what is the greatest number of packages time can make
Answer:
He will have 13 packages containing 3 pairs of headphones and 1 music player each.
Step-by-step explanation:
He has 39 pairs of headphones and 13 music players.
He wants to sell both set of items in identical packages.
To do this he has to divide them in such a way that the same number of both set of objects are in every box.
Let us find the ratio of the pairs of headphones to music players:
39 : 13 = 3 : 1
Therefore, dividing the pairs of headphones into 3 parts and the music players into 1 part, he can have identical packages.
So, he will have 13 packages containing 3 pairs of headphones and 1 music player each.
this is question What is the place value of the 8 in 4.328 (a)Thousands (b) Hundreds (c)Hundredths (d)Thousandths
Answer:
The answer is d
Step-by-step explanation:
The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.
What is the place value strategy?The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.
here, we have,
Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.
In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.
Thus, the place value of the 8 is 0.008, or 8 thousandths.
Learn more about the place value strategy here:
brainly.com/question/654419
#SPJ2
Solve the inequality -2x < 5, illustrating your solution on a number line.
Is -6 a solution of the inequality?
Answer:
No.
Step-by-step explanation:
Let's first and try to isolate x.
-2x < 5
(Divide by -2)
x > -5/2 ( < changes to > b/c it was divided by a negative)
x > -2.5
Since x is all values greater than -2.5, -6 is not within those bounds.
Thus, -6 is not a solution to the inequality.
Hope that helps!
what is the value of the discriminators of f f(x)=x^2-3x+18
Answer:
-63
Step-by-step explanation:
Compare ...
f(x) = x^2 -3x +18
to the standard form ...
f(x) = ax^2 +bx +c
and you will see that ...
a = 1, b = -3, c = 18.
__
The value of the discriminant is ...
d = b^2 -4ac
d = (-3)^2 -4(1)(18) = 9 -72 = -63
The discriminant is -63.
A 20kg solution is 15% alcohol. How much water should I add to make an 8% alcohol solution?
Answer:
17.5 kg of water.
Step-by-step explanation:
The amount of alcohol in the 15% solution = 20*0.15 = 3kg.
If 3 kg is equivalent to 8% solution
then 100% is 3*100 / 8 = 37.5 kg.
So the amount of water to be added to make 8% solution = 37.5 - 20
= 17.5 kg.
Glen got 48 out of 64 correct in his test. What fraction of the marks did he get wrong?
Answer:
16/64 i think
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Total Marks = 64
Correct = 48
Incorrect = 64-48
=> 16
Fraction of Incorrect Answers:
=> [tex]\frac{16}{64}[/tex]
In simplest form:
=> [tex]\frac{1}{4}[/tex]