Answer:
24:16
Step-by-step explanation:
to find 1 part = 40/5 (you add the total of the ratio: 3+2)
so 8 and then times 8 by 3 and 8 by 2 to get the parts
Answer:
24 and 16
Step-by-step explanation:
First find the number of parts: 3+2 = 5.
then, divide 40 by 5 to find how much is available for each part. This way, you get 8.
Then to find the value for each section of the ration, multiply eight by the corresponding side.
8 x 3 = 24
8 x 2 = 16
Hope this helps.
Please mark brainiest
A linear sequence starts a+3b a+7b a+11b the 2nd term has value 19 the 5th term has value 67 work out the values of a and b
Answer:
[tex]a = -9[/tex]
[tex]b = 4[/tex]
Step-by-step explanation:
Given
Sequence: a+3b, a+7b, a+11b
2nd term = 19
5th term = 67
Required
Find a and b
First, the 5th term needs to be calculated;
Using formula for Arithmetic Progression (AP), the formula goes thus
[tex]T_n = T_1 + (n - 1)d[/tex]
Where n = 5
T_1 = a + 3b ------------ FIrst term
[tex]d = T_2 - T_1 or T_3 - T_2[/tex] --- Difference between two successive terms
[tex]d = a + 7b - (a + 3b)[/tex]
[tex]d = a + 7b -a - 3b[/tex]
[tex]d = a - a + 7b - 3b[/tex]
[tex]d = 4b[/tex]
So, [tex]T_n = T_1 + (n - 1)d[/tex] becomes
[tex]T_5 = a + 3b + (5 - 1)4b[/tex]
[tex]T_5 = a + 3b + (4)4b[/tex]
[tex]T_5 = a + 3b + 16b[/tex]
[tex]T_5 = a + 19b[/tex]
Now that we have values for 2nd and 5th term;
From the second, T2 = 19 and T5 = 67
This gives
[tex]a + 7b = 19[/tex] --- Equation 1
[tex]a + 19b = 67[/tex] ---- Equation 2
Make a the subject of formula in (1)
[tex]a = 19 - 7b[/tex]
Substitute these values in equation 1
[tex]a + 19b = 67[/tex] becomes
[tex]19 - 7b + 19b = 67[/tex]
[tex]19 + 12b = 67[/tex]
Collect like terms
[tex]12b= 67 - 19[/tex]
[tex]12b = 48[/tex]
Divide both sides by 12
[tex]\frac{12b}{12} = \frac{48}{12}[/tex]
[tex]b = 4[/tex]
Recall that b = 4
Substitute a = 19 - 7b and nothing will hire
[tex]a = 19 - 7(4)[/tex]
[tex]a = 19 - 28[/tex]
[tex]a = -9[/tex]
Hence, the values of a and b are -9 and 4 respectively.
will mark brainliest, need help.
Answer:
(0, -4)
Step-by-step explanation:
The lines intersect at 0, -4. That is also the solution.
Answer:
D
Step-by-step explanation:
The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!
Awnser needed thank you!
Answer:
Step-by-step explanation:
I think 33°
Answer:
its 34 i think
Step-by-step explanation:
What is the product 6(x^2-1)*6x-1/6(x-1) A)6(x-1)^2 B)6(x^2-1) C)(x+1)(6x-1) D)(x-1)(6x-1
Answer:
D
Step-by-step explanation:
(6x^2-6)×(6x-1)/(6x-6)
Simplify
U get (x+1)(6x-1)
how can you use scientific notation to compare the mass of an electron to the mass of a proton
Answer:
explained below
Step-by-step explanation:
Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.
In the image I leave an example of the use of scientific notation in this area
Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1
Answer:
n= 4725 /1024
Step-by-step explanation:
153 is the product of Matt’s age and 9 use the variable m to represent Matt’s age
Answer:
m = 153/9
Step-by-step explanation:
since it is the product, you need to divide it to be able to get his age/
hope this helps! :)
what is the definition for a line segment
Answer: A line segment is a part of a line. It has 2 endpoints.
Step-by-step explanation:
Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.
So, in order for a figure to be a line segment,
it needs to begin and end at an endpoint.
Take a look at the image provided below.
4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m
130°
80°
65°
50°
In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?
Answer: 80°
Step-by-step explanation:
ST = SP and m∠R = 130°
If m∠R = 130°, then,
QPS = 130° ( Opposite angles of a parallelogram are equal)
QPS + SPT = 180° (angle on a staght line)
130° + SPT = 180°
SPT = 180° - 130° = 50°
PTS = SPT = 50° (Base Angle of an isosceles triangle)
m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)
m∠PST = 80°
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)
Answer:
576π in² and 1,809 in².
Step-by-step explanation:
To find the answer, the formula for the area of a circle, or A = πr², will need to be used.
In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:
48/2 = 24 inches.
Now, plugging this into the equation for the Area of a Circle, gets us:
A = π24²
A = 576π or 1808.64 in².
Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)
if MNL is congruent to TUS, then NL is congruent to ?
Answer:
NL is congruent to US.
Answer:
d. NL ≅US
Step-by-step explanation:
ΔMNL ≅ ΔTUS
follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS
PLEASE HELP WILL MARK BRAINLIEST
find the value of x
I think,
the value of x is 90°
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x-3
5 < 10x - 3
2 - 2x < 8x
Answer:
5 < 10x-3
Step-by-step explanation:
5 - 2x < 8x - 3
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x-3
Answer:
The answer is C.
Step-by-step explanation:
Trust me, I got you.
PICTURE ATTACHMENT IS BELOW
Answer:
10% = 1/10
20% = 1/5
100% = 3/3
75% = 3/4
Step-by-step explanation:
Answer:
Awnser is down below
Step-by-step explanation:
75= 3/4
20= 1/5
10 = 1/10
100= 3/3
Hope this helps :)
2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?
Answer:
81.8 kg
Step-by-step explanation:
To find the total mass you have to add both of their mass
46.2 kg+35.6 kg= 81.8 kg
Their total mass is 81.8 kg #
Varuns monthly income is 18000 he spends 1/5 of his income for house rent and 3/5 of his income on other expenditure how much does he save every month
Answer:
$3600
Step-by-step explanation:
Given:
Total income T = $18,000
Fraction of income spent on house rent f1 = 1/5
Fraction of income spent on other expenditures f2 = 3/5
Fraction of income saved is;
f = 1 - (1/5+3/5) = 1 - 4/5
f = 1/5
The Amount he save is A;
A = fraction saved × total amount = f × T
Substituting the values
A = 1/5 × $18,000
A = $3,600
The Amount he save is $3,600
Answer: Varun saves 3,600 every month
Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;
Total income = 18000
House rent = 1/5
Rent expense = 1/5 of 18000
Rent expense = 1/5 * 18000
Rent expense = 3600
he also spends 3/5 on other expenditure
Other expenditure = 3/5 of 18000
Other expenditure = 3/5 * 18000
Other expenditure = (3 * 18000)/5
Other expenditure = 54000/5
Other expenditure = 10800
His expenses therefore have been derived as
Total expenditure = 3600 + 10800
Total expenditure = 14400
His savings per month therefore is derived as;
Total income - total expenditure = savings
18000 - 14400 = savings
3600 = savings
Therefore, Varun saves 3,600 every month
An angle in standard position crosses the unit circle at (0, - 1). Which could be the angle measures?
It could be 270, -90 in degrees
or if you're in radians it would be 3/2 pi or -1/2 pi
A company produces a cardboard box in the shape of a rectangular prism. The surface area of the box is represented by
S= 4x, where x is the length of the base. Find the inverse by solving for x without switching the variables.
The inverse function is x =
Answer:
x=S/4
Or
x=S(1/4)
Step-by-step explanation:
Surface Area(S)=4x
Where
x=length
Inverse by solving for x without switching the variables
S=4x
Divide both sides by 4
S/4=4x/4
S/4=x
x=S/4
Or can also be written as
x=S(1/4)
Suppose p and q are inversely proportional. If p=25 when q=6, find the value of p when q=15 Please help me!!!
Answer:
p=10 when q=15
Step-by-step explanation:
p and q are inversely proportional
It means
p=k/q
p=25 when q=6
p=k/q
25=k/6
k=25÷1/6
k=25×6/1
=150
k=150
Find p when q=15
p=k/q
p=150/15
=10
p=10
which of the following is equivalent to the radical expression below √8x^5
what is the leading coefficient of the polynomial f(x) defined below:
Explanation:
The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.
The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.
If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.
Hey, can you please help me out?
Very appreciate
Verified and certified by me
Answer:
d
Step-by-step explanation:
first two are to measure mass not area and third is too large of a measurement for a beach towel. Hope it helps!
Identify the method that will be used in solving for x.
5 + x = 3/4
A.) distributive property
B.) multiplication property of equality
C.) division property of equality
D.) subtraction property of equality
Answer:D subtraction property of equality
Step-by-step explanation:
Which trinomial did she factor?
x2 + 4x – 12
x2 + 2x - 6
x2 - 8x - 6
x2 - 4x - 12
Answer:
Answer is (D) x2 – 4x – 12
Step-by-step explanation:
edge 2020 test
The arithmetic mean if ui = xi - 25 / 10 sigma fiui = 20 and sigma fi = 100 is
Answer:
27Step-by-step explanation:
Given the formula ui = xi - 25 / 10
Note that the general formula for calculating ui = xi-A/n where;
A = assumed mean
n = class size
On comparison with the given equation, A = 25 and h = 10
Also arithmetic mean x = A + {h * sigma(fiui) /sigma(fi)} where;
sigma(fiui) = 20 and sigma fi = 100
Substituting the given value to get the mean x;
x = 25+ (10*20/100)
x = 25 + (200/100)
x = 25 + 2
x = 27
The arithmetic mean is 27
Help please
What are the coordinates of the hole in the graph of the function?
f(x)=x2−3x−10/x−5
Enter your answer in the boxes.
Answer:
(5, 7)
Step-by-step explanation:
A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.
The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.
__
[tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]
The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).
Solve for k. a/b=b/a+1/k
Answer:
k = ab/ ( a^2 - b^2)
Step-by-step explanation:
a/b=b/a+1/k
Multiply each side by abk to get rid of the fractions
abk *a/b=abk(b/a+1/k)
a^2k = b^2k + ab
Subtract b^2k from each side
a^2k - b^2k = b^2k - b^2k + ab
a^2 k - b^2 k = ab
Factor out k
k( a^2 - b^2) = ab
Divide each side by ( a^2 - b^2)
k( a^2 - b^2)/ ( a^2 - b^2) = ab/ ( a^2 - b^2)
k = ab/ ( a^2 - b^2)
Answer: K= ab/(a+b)(a-b)
Solve the proportion 4/x=8/(x-3)
Answer:
x=-3
Step-by-step explanation:
4/x=8/(x-3)
We can solve this using cross products
4 ( x-3) = 8x
Distribute
4x -12 = 8x
Subtract 4x from each side
4x-4x-12 = 8x-12-4x
-12 =4x
Divide each side by 4
-12/4 = 4x/4
-3 =x
Answer:
X=-3
Step-by-step explanation:
Solve it like any other two step equation.
But first we have to have x on its own to get what the x value is
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
The complete question is:
A certain element has a half life of 4.5 billion years.
You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?
Answer:
Age of rock = 7.82 billion years
Step-by-step explanation:
For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.
We are given that;
fraction remaining = 30% = 0.3
Thus;
0.3 = 0.5n
To find n, we have to use the log function;
log 0.3 = n log 0.5
-0.5229 = -0.301 n
n = -0.5229/-0.301
n = 1.737
We are given that;
Half life = 4.5 billion years
So, 1.737 half lives would give;
1.737 × 4.5 = 7.82 billion years
So, age of rock = 7.82 billion years
Kristen invests $5,000 in a bank. The bank pays 6.45% interest compounded semi-annually. How much money will she have after 2 years, if she makes no additional contributions or withdrawals to the account?
a:5665.80
b:5327.70
c:4375.80
d:5676.88
Answer:
D. $5,676.88
Step-by-step explanation:
A=P(1+r/n)^n*t
Where
P=principal=$5000
r=interest rate=6.45%=0.0645
n=periods=2(semiannually)
t=time=2 years
A=P(1+r/n)^n*t
=5,000(1+0.0645/2)^2*2
=5,000(1+0.03225)^4
=5000(1.03225)^4
=5000(1.13553756247925)
=5,676.8781
Approximately
$5,676.88
