The width of a rectangle is the length minus 3 units. The area of the rectangle is 10
units. What is the width, in units, of the rectangle?
Answer:
w=2
Step-by-step explanation:
A=length times width (A=lw)
w= l-3
A=10
Substituting in, we get:
10= l(l-3)
Now, solve the equation.
10= [tex]l^{2}[/tex]-3l
[tex]l^{2}[/tex]-3l-10=0
(l+2) (l-5)=0 (factoring the equation)
Therefore, l= -2 or 5
Throw out the negative value because a length of rectangle will never be negative.
Now let's solve for width
Remember w=l-3
therefore
(5)-3=2
so, w=2
(honestly, this is easier to just do in your head. But here is the long form math if you happen to run into more complicated problems.)
Answer:
w=2 l=5
Step-by-step explanation: I got it right
Aaron started at a height of 43 feet in the air. He jumped feet first from the cliff into the water below. The total
distance he traveled was 52 feet. How far underwater did Aaron travel?
Answer:
Aaron travelled about 9 feet underwater
Step-by-step explanation:
We need to work with the information we are given in the question.
there are two stages of Aaron's travel. the first distance was in the air, and the second distance was in the water.
We are given both the total distance travelled and the distance travelled in the air.
To get the distance travelled in water, we subtract the distance travelled in the air from the total distance.
This will be 52 feet - 43 feet = 9 feet
Hence Aaron travelled about 9 feet underwater
divide 240 in the ratio 1:3
240/4=60
1:3
60*3=180
Answer= 60:180
Answer:
60:120
Step-by-step explanation:
You need to add the two parts of the ratio
1+3=4
Then you divide 240 by 4
240 divided by 4= 60
Then you do :
60x1= 60
60x3= 120
There you go, you have your answer.
Valerie has 2 envelopes in each of her 3 drawers. Each envelope has 6 stickers. How many stickers does she have in all?
Answer:
36
Step-by-step explanation:
2 envelopes x 3 drawers = 6 envelopes.
Each envelope has six stickers.
6 x 6 = 36
Answer:
36
Step-by-step explanation:
In triangle MNP, medians NQ and PR intersect at S. If PS = 8 and QS = 3 then which of the following is the value of NQ + PR
(1) 21
(2) 22
(3) 26
(4) 30
Answer:
(2) 22
Step-by-step explanation:
In the given triangle MNP, the medians are straight lines drawn from the angle to opposite side so as to divide the side into equal parts.
PS = 8 and QS = 3, thus;
PS = NS = 8 (congruent property of ΔRSN and ΔQSP)
QS = SP = 3 (congruence property)
So that,
NQ = NS + SQ
= 8 + 3
= 11
PR = PS + SR
= 8 + 3
= 11
Thus;
NQ + PR = 11 + 11
= 22
Therefore, NQ + PR = 22
A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a
Cepheid star and its period, or length of its pulse, is given by M = -2.78(log P) - 1.35, where M is the absolute magnitude, or
brightness of the star, and Pis the number of days required for the star to complete one cycle. What is the absolute magnitude of
a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.
-5.95
-4.60
3.25
4.60
Answer:
-5.95 on edge
Step-by-step explanation:
The absolute magnitude of a star that has a period of 45 days is -5.95.
What is the magnitude of a star?magnitude, in astronomy, measures the brightness of a star or other celestial body. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were ranked into six magnitude classes, the first magnitude class containing the brightest stars.
How do you find the magnitude of a star?Mv = m - 2.5 log[ (d/10)2 ]. Stars farther than 10 pc have Mv more negative than m, that is why there is a minus sign in the formula. If you use this formula, make sure you put the star's distance d in parsecs (1 pc = 3.26 ly = 206265 AU).
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The absolute magnitude of a 45-day star is -5.95.
How big is the star?The magnitude measures the brightness of a star or other celestial body in astronomy. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were divided into six magnitudes, the first of which contained the brightest stars.
How do you find the size of a star?Mv = m-2.5log [(d / 10) 2]. Stars over 10 pc have a minus sign in the formula because Mv is more negative than m. When using this formula, enter the star distance d in parsecs (1 pc = 3.26 Ly = 206265 AU).
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Write in expression
multiply the quotient of 10 and r by 4
Answer:
10/r x 4
Step-by-step explanation:
Plzzz help!!! Please explain how you go the answer.! Thank you!!
Answer:
The value of x is 25.
Step-by-step explanation:
Given that M is the midpoint of LN. So the distance of LM is equals to MN.
[tex]lm = mn[/tex]
[tex]43 = 2x - 7[/tex]
Then you can solve it :
[tex]2x = 43 + 7[/tex]
[tex]2x = 50[/tex]
[tex]x = 25[/tex]
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!
Answer:
y=(x-5)^2 - 6
Step-by-step explanation:
Subtracting the 5 to the x moves the parabola 5 units to the right. Putting the -6 at the end moves the parabola down 6 units.
Answer:
[tex]y=\left(x-5\right)^{2}-6[/tex]
Step-by-step explanation:
I graphed the original parabola and the new parabola on the graph below. I moved the original parabola down 6 and right 5.
the average newborn baby weighs 7.9 lbs with standard deviation of approximately 0.5lbs. if this is normal distribution then what percentage of babies would be at least 9.4 lbs.
Answer:
99.87%
Step-by-step explanation:
We would be using the Z score formula to solve this question. The formula is given as:
z = (x-μ)/σ,
Where :
x = observed value = 9.4lbs
μ = mean or average value = 7.9lbs
σ = Standard deviation = 0.5lbs
z = (9.4- 7.9)/0.5
z = 3
The z score = 3
Using the normal distribution table to find which percentage of babies would be at least 9.4lbs
P(x<Z) = 0.99865
Converting this to percentage = 0.99865 × 100 = 99.865%
Approximately = 99.87%
Therefore, the percentage of babies would be at least 9.4 lbs = 99.87%
Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x − 15?
[tex]\text{I don't know your answer choices, but general the first thing}\\\text{you would do is move the x variables to one side or the single variables}\\\text{Doign this will allow you to set up the equation to divide}\\\\\text{You need to find the x value, so having the x values on one side}\\\text{and the one values on the other side will allow you to solve for x}[/tex]
Mike buys three cans of pop per week. This is one more than two fifths the number of cans of juice Mike buys per week. Determine the number of cans of juice Mike buys per week.
Answer:
5
Step-by-step explanation:
Mike buys 3 cans of pop per week and this is one more than 2/5 of the number of cans of juice that he buys.
Let the number of cans of juice be j and let the number of cans of pop be buys be p.
This means that:
p = 1 +2j/5
Make j subject of formula:
p - 1 = 2j/5
=> 2j = 5p - 5
j = ½(5p - 5)
p = 3 (from the question)
Therefore:
j = ½(5 * 3 - 5) = ½(15 - 5)
j = ½ * 10 = 5
Mike buys 5 cans of juice per week.
What is the value of x in the equation-5/8 x=-160
Answer:
256
Step-by-step explanation:
Just divide each side by -0.625.
x = 256
If f(x) = 1-x2 and g(x) = 1 - x which is the rule of function (f – g)(x)?
Answer:
-x^2 +x
Step-by-step explanation:
f(x) = 1-x^2
g(x) = 1 - x
f(x) - g(x) = 1-x^2 - (1 - x )
Distribute the minus sign
= 1-x^2 -1 +x
Combine like terms
= -x^2 +x
I will mark it as brainliest John, Yenni, Peter and Amber have a total of 1026 marbles. If Yenni gives away 60 of her marbles, she will have 1/4 of the marbles John has. If Peter buys another 150 marbles, he will have 1/2 the number of marbles John has. If Amber doubles what she has, she will have the same number of marbles as John. How many marbles did Yenni have? I will mark it as brainliest
Answer:
2,172
Step-by-step explanation:
not too sure sorry
Answer:
184
Step-by-step explanation:
y + j + p + a = 1026
y - 60 = j/4 -------> y = (j/4) + 60
p + 150 = j/2 -----> p = (j/2) - 150
2a = j -------> a = j/2
y = ?
y + p + j + a = 1026
(j/4) + 60 + (j/2) - 150 + j + (j/2) = 1026
(j/4) + j + j - 90 = 1026
(j/4) + 2j = 1116
9j/4 = 1116
9j = 4464
j = 496
y = (496/4) + 60 = 184
Maria invests 1500$ into an account with a 2% annual rate. Compounded annually the value of her account is given by A=1500(1.02)t, where t is the number of years invested. If interest is compounded monthly which of the following represents the value of Maria’s investment.
Answers are the pic
Answer:
D
Step-by-step explanation:
Pls brainliest!!
Subtract 3(-4c^2 + 3c - 1) from 5(2c-3c^2)
Answer:
- 3c² + c + 3
Step-by-step explanation:
We wish to evaluate
5(2c - 3c²) - 3(- 4c² + 3c - 1) ← distribute both parenthesis
= 10c - 15c² + 12c² - 9c + 3 ← collect like terms
= - 3c² + c + 3
AG is congruent to what? In the picture
Answer:
D
Step-by-step explanation:
If 2 tangents are drawn to a circle from the same external point then they are congruent.
AG and AE are tangents to the circle from the same external point, thus
AG is congruent to AE
AG is congruent to AE. Then the correct option is D.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
If two tangents are drawn to a circle from the same external point then they are congruent.AG and AE are tangents to the circle from the same external point.
Hence, the correct option is D.
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Solve 10x^2=6+9x
Help please
Answer:
B
Step-by-step explanation:
63 × (– 48) + 48 × (–37)
Answer:
-4800
Step-by-step explanation:
63 × (– 48) + 48 × (–37)= - 63*48 - 37*48 = (-63-37)*48= -100*48= -4800
Step-by-step explanation:
FYAN1440 WITH BRAINLY _____________________======> Mathematics <=======
Step-by-step :
= 63 x (-48) + 48 x (-37)
= -3024 + -1776
= -4800
What is the variance with the data 8 2 4 3 5
Answer:
The variance is approximately equal to 5.3
8 points + big brain!
Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!
Answer:
Whole number= n
n= a²- b²= (a+b)(a-b)There are infinitely many numbers satisfying this condition. Providing some examples:
a=50, b= 13 ⇒ n= (50+13)(50-13)= 2331a= 8, b=4 ⇒ n= (8+4)(8-4)= 48a= 15, b= 12 ⇒ n= (15+12)(15-12)= 81a= 6, b= 1 ⇒ n= (6+1)(6-1)= 35a= 70, b= 20 ⇒ n= (70+20)(70-20)= 4500The figure consists of a chord, a secant, and a tangent to the circle. The diagram is not drawn to scale.What is the value of x? Round the answer to the nearest unit.
Answer: 8.46 ✌️
Pythagorean’s theorem
Consider this cylinder with the given base area and
height measures.
Use the formula to calculate the volume. What is the
volume of the cylinder?
2
Cylinder V=Bh
Vx
B = 12 in
9 in
V = 21x in
Oy - 54, in
V = 1087 in
tivity
Answer: the answer is D
Step-by-step explanation:
The Volume of Cylinder is 108 inch³.
What is Volume?Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Given:
Base = 12 inch
Height = 9 inch
So, the Volume
= base x height
= 12 x 9
= 108 inch³
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WILL GIVE BRAINLIEST <3
Answer:
I cant solve number 1 but I can for number 2
Calculate GCF for each
You can learn how to use the prime factorization method to do this
GCF(12, 18, 40, 45) = 1
So I dont get what the problem is because there are no numbers for #2. So either I dont understand the problem or it is a trick question whereas the answer is UNDEFINED/IMPOSSIBLE.
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3? (-1, ___)
Answer:
the y value is 5. (-1,5)
Step-by-step explanation:
first you plug in -1 to the equation where the x is. f(-1)=-2(-1)+3. then solve with a calculator and you will get 5 as your y value. plug the equation in Desmos.
Answer:
the y value is 5. (-1,5)
Step-by-step explanation:
first you plug in -1 to the equation where the x is. f(-1)=-2(-1)+3. then solve with a calculator and you will get 5 as your y value. plug the equation in Desmos.
use properties of operations to simplify this algebraic expression.
5(x-4)+3x-9x+7
step 1: rewrite the subtraction operations as addition of negative numbers.
step 2: use the distributive property.
step 3: use the commutative property of addition to reorder terms so that like terms are together.
step 4: use the associative property of addition to group like terms.
step 5: simplify.
Answer:
x = -27
Step-by-step explanation:
Apply the Distributive Property to 5(x - 4): 5x - 20.
Then we have 5x - 20 + 3x - 9x + 7.
Combining like terms, we get -x = 7 + 20 = 27, so that x = -27.
Prove the identity (n-5)^2 - (6n-35)=(n-10)(n-6)
Answer:
(n-5)^2 - (6n-35)=(n-10)(n-6)
-----------
n²-10n+25-6n+35 = n²-16+60 = n²- 10n - 6n + 60 = n(n-10) - 6(n-10) = (n-10)(n-6)Expand the following 2(x+3)
Answer:
2x + 6
Step-by-step explanation:
2 will multiply everything inside the bracket.
2 x X =2x
2 X 3=6
The expansion of the given expression is 2x+6.
Th given expression is 2(x+3).
What is the distributive property?The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
The given expression can be solved as follows:
Now, 2(x+3)
= 2×x+2×3
= 2x+6
Therefore, the expansion of the given expression is 2x+6.
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what would the sum be?
Answer:
-5|0|-7
-6|-4|-2
-1|-8|-3
I'm guessing it is addition
Hope this helps
Step-by-step explanation:
