Answers
Answer:
The answer is option A.
p = 0.7(rh + b)
Making h the subject
divide both sides by 0.7
we get
p/0.7 = rh + b
send b to the left side of the equation
p / 0.7 - b = rh
divide both sides by r
we get
( p / 0.7 - b) ÷ r = h
therefore h = ( p / 0.7 - b ) ÷ r
Hope this helps
Related Questions
f(x)=-3√(x-3)-1 which of the following graphs corresponds to the function above
Answers
Answer:
Step-by-step explanation:
graph attached
Answer:
graph y
Step-by-step explanation:
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
Answers
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
The ratio of cement : sand : aggregate in a mix of concrete is 1 : 3 : 3. Sang wants to make 112 kg of concrete. How much sand does he need?
Answers
Answer: 48
Step-by-step explanation:
The share of sand in the mixture is 3/7
To make 112 kgs. of concrete, he will need
3/7 x 112 = 48 units of sand
Answer:
48 kgsolution,
Ratio of cement:sand:aggregate
=1:3:3
Total of ratios=1+3+3
=7
Total concrete=112 kg
Amount of sand required:
[tex] \frac{ratio \: of \: sand}{total \: ratio} \times amount \: of \: concrete \\ = \frac{3}{7} \times 112 \\ = 48 \: kg[/tex]
Hope this helps...
Good luck on your assignment...
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
Answers
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.
Please answer this now in two minutes
Answers
Answer:
[tex]7\sqrt{2}[/tex] meters
Step-by-step explanation:
This is a 45 45 90 triangle. This means that two sides of the triangle are equivalent. In this type of triangle, the two equal sides are represented by [tex]a[/tex] and the hypotenuse that you are trying to find (u) is represented by [tex]a\sqrt{2}[/tex]
Therefore, your answer is [tex]7\sqrt{2}[/tex] in simplest radical form.
Answer:
u= 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The missing side is u
sin 45°=7/u switch u and sin 45°u = 7/sin°45sin 45° = [tex]\frac{\sqrt{2} }{2}[/tex]
so :
u = 7*[tex]\frac{2}{\sqrt{2} }[/tex] u = 14/√2 u = [tex]\frac{7*\sqrt{2} ^{2} }{\sqrt{2} }[/tex] u = 7[tex]\sqrt{2}[/tex]Hey ya'll, DONT DO THE WORK FOR ME just check it for me please, my assignment asked me.....Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Then, i answered with:
To find a percentage you just have to put the percent in decimal form then you multiply. 125% = 125/100 125% = 125/100 = 1.25 By doing this, we get 1.25, which is the same as 125% in decimal form. Therefore, Evan was correct. He spent 125% more time doing homework this week.
WAS MY ANSWER CORRECT OR NOTTTT
Answers
Answer:
No it was not
why... well he spent 25% time.
Step-by-step explanation:
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
Answers
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.
Mike put 304 baseballs into 8 trash bins. He put the same number of baseballs in each bin. He took 5 trash bins of baseballs to the baseball field. How many baseballs did he take?
Answers
Answer:
190 Baseballs
Step-by-step explanation:
Since he put 304 baseballs into 8 trash cans with an equal amt. in each,
--> we do 304/8 to find how much baseballs we put in each
=> 304/8 = 38
Now, we takes 5 of these 38 trash cans filled with balls to the field
--> we would do 5 x 38 => 5 x 38 = 190
and Thus, we have our answer of 190 baseballs
Hope this helps!
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.
Answers
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."
Find the inequality represented by the graph
Answers
Answer:
y ≥ -2/3x +3
Step-by-step explanation:
incline is -2/3
and intercept with y-axis is 3
so the equation of the line is
y = -2/3x +3
Since the intended area in the graph I above the line, we now know enough to find the right one question:
y ≥ -2/3x +3
Answer: y>-2/3x+3 because the line is dotted its >
pleaseeeeeeeeeee helllllllllpppppppppppp
Answers
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
Please help me Thank u
Answers
Answer:
Step-by-step explanation:
Fist let's have a look :
(AB) is parallel with (CD) and there is a line crossing them both.Now the first question : What is the size x ?
We notice that x and 53° are vertically opposite so they are corresponding angles so the size of x is 53°The second question : what is the size of y ?
We notice that y and 53° are alternate angles so they are corresponding angles with same size y=53°The trick is to khow the situation where we have corresponding angles
what is the value of the discriminators of f f(x)=x^2-3x+18
Answers
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.
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 .
Answers
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
What is the solution to the following equation? 3(7x – 12) + 26 = 3x – 10
Answers
Answer:
x=0
Step-by-step explanation:
3(7x – 12) + 26 = 3x – 10
Distribute
21x -36 +26 = 3x-10
21x -10 = 3x-10
Add 10 on each side
21x-10+10 = 3x-10+10
21x = 3x
Subtract 3x from each side
21x-3x = 0
18x =0
x=0
Answer:
x=0
Step-by-step explanation:
3(7x – 12) + 26 = 3x – 10
21x-36+26-3x+10=0
18x-10+10=0
18x+0=0
18x=0
x=0
check : 3(7(0)-12)+26=3(0)-10
: -36+26=-10
-10=-10 it is correct
HELP 25 PTS ASAP!!!!!! BRAINLIEST
Answers
We can solve for the y-intercepts of both f(x) and h(x) by plugging in 0 as x. f(0) = -6(0)-3 = -3
h(0) = -2cos(pi)-1 = -2(-1)-1 = 1
So the y-intercept of f(x) is -3 and of h(x) is 1. We can then conclude that h(x) has a greater y-intercept than f(x) because 1>-3.
Which is the value of g(-5) it g(x) = 3,4x - 8?
Answers
Answer:
g(-5)=-25
Step-by-step explanation:
consider a polynomial f(x)=ax^3 + bx^2 + x + 2/3.if x + 3 is a factor of f(x) and f(x) is divided by x + 2, then we get remainder as 5. find the values of a and b.
Answers
Answer:
a = 2/27
b = 13/27
Step-by-step explanation:
The given polynomial is presented as follows;
f(x) = a·x³ + b·x² + x + 2/3
Given that x + 3 is a factor, we have;
f(-3) = 0 = a·(-3)³ + b·(-3)² - 3 +2/3 = 0
-27·a + 9·b - 3 + 2/3 = 0
-27·a + 9·b = 7/3........(1)
Also we have
(a·x³ + b·x² + x + 2/3) ÷ (x + 2) the remainder = 5
Therefore;
a·(-2)³ + b·(-2)² + (-2) + 2/3 = 5
-8·a + 4·b - 2 + 2/3 = 5
-8·a + 4·b = 2 - 2/3 = 4/3........(2)
Multiplying equation (1) by 4/9 and subtracting it from equation (2), we have;
-8·a + 4·b - 4/9×(-27·a + 9·b) = 4/3 - 4/9 × 7/3
-8·a + 12·a = 8/27
4·a = 8/27
a = 2/27 ≈ 0.0741
imputing the a value in equation (1) gives;
-27×2/27 + 9·b = 7/3
-2 + 9·b = 7/3
9·b = 7/3 + 2 = 13/3
b = 13/27 ≈ 0.481.
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
Answers
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.
What is Pascal's triangle.
Answers
Answer:
Pascal's triangle is a triangular array of the binomial coefficients. It is used to find combinations.
Answer:
In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.
Step-by-step explanation:
ANSWER ASAP PLEASE!!!!!!!!!!!! THANKS!!!!!!!!! :)
Answers
Answer: the answer is A
Step-by-step explanation:
Multiply the polynomials. (2x^2 + 6x + 6)(3x – 2)
Answers
Hey there! :)
Answer:
6x³ + 14x² + 6x - 12.
Step-by-step explanation:
Given:
(2x² + 6x + 6)(3x - 2)
Multiply each term in the first polynomial by both terms in the second:
3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =
6x³ + 18x² + 18x - 4x² - 12x -12 =
Combine like-terms:
6x³ + 14x² + 6x - 12.
Please please please urgent help❤️❤️❤️
Answers
Answer:
its G(2)
Step-by-step explanation:
Gg
Franklin's grandmother opened a savings account with $275 to help him save money for college. Franklin will deposit $55 each month. His grandmother will deposit $40 each month. If Franklin makes no additional deposits or withdrawals, which equation can be used to find A, the amount of money in Franklin's savings account after p months?
Answers
Answer:
X = 275 + 95p
Step-by-step explanation:
Hello,
This question requires us to write an expression to find how much he would've saved over a certain period of time.
Initial deposit = $275
Franklin's monthly deposit = $55
Franklin grandmother's deposit = $40
Let the amount he would've saved over a certain period of time p = x
X = 275 + (55 + 40)p
X = 275 + 95p
Eg, how much would he have saved in 5 months
X = 275 + 95(5)
X = 275 + 475
X = $750
I.e in 5 months, he would've saved $750
..........help lol xD
Answers
Answer:
equilateral
acute
Step-by-step explanation:
equilateral = all equal angles
acute = all angles less than 90
Answer:
D. Equilateral
Step-by-step explanation:
An equilateral triangle is a three sided shape with sides of the same size. Since all the sides in the image are 9cm, it is considered as an equilateral triangle.
Hope this helps
Write an equation of the line that is perpendicular to y = 1/2x +3 and passes through the point
(10,-5)
Answers
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]
Four consecutive multiples of 3 have a sum of 78? What is the second largest number?
Answers
Answer:
26
Step-by-step explanation:
Let x be the first number
the second one is x+1 the third one is x+2 the sum is : x+ (x+1)+(x+2)= 78so : 3x+3 = 78 then : 3x = 75 finally x = 25 the second larger number is x+1 = 25+1 = 26Find x
a) 21 √2
b)7
c)21 √2/2
d)21 √3/2
Answers
Answer:
C
Step-by-step explanation:
Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , thus
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opp}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 × opp = 21 ( divide both sides by 2 )
opp = [tex]\frac{21}{2}[/tex]
Now consider the right triangle on the right, using the cosine ratio
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\frac{21}{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = [tex]\frac{21}{2}[/tex] × [tex]\sqrt{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → C
Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = in. EG = in. M∠X = ° m∠G = °
Answers
Answer:
ZX = 1.3 in
EG = 3.0 in
M∠X = 48°
M∠G = 25°
Step-by-step explanation:
As we can see in the attached figure that these two triangles are identical i.e their corresponding sides and angles are equal
Therefore if we say that
ZX = EF
So ZX = 1.3 in.
Now the same is applied for other sides and angles
EG = XY
So, EG = 3.0 in
M∠X = M∠E
hence, M∠X = 48°
For the M∠ G,
The angle is
= 180° - 107° - 48°
= 25°
Hence, the M∠ G is 25°
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
Answers
Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59 °.
Using sine ratio
sin 48.59 ° = opposite/hypotenuse
sin 48.59 ° = 24/JL
cross multiply
JL sin 48.59 ° = 24
divide both sides by sin 48.59 °
JL = 24/sin 48.59 °
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32