Answer:
3.6/30 = 1/x
30/3.6 = 8.3333
1 inch = 8 1/3 feet
Answer:
24
Step-by-step explanation:
15 inches represent 30 feet = 30*12 inches = 360 inches
so 1 inch represent 360/15 = 24 inches
the scale factor is 24
PLS HELP 40PTS Select the inequality that models the problem.
The sum of two consecutive odd integers is at least 76. Find the least possible pair of integers.
n + n + 2 ≥ 76
n + n + 2 > 76
n + n + 1 > 76
n + n + 1 ≥ 76
Answer:
n + n + 2 ≥ 76Explanation:
To find odd numbers, we have to use n + n + 2
For example let the number be 1, the 1 + 2 = 3, 3 + 2 = 5.
Therefore, used: n + n + 2 expression and it should be equals or at least 76. so finally n + n + 2 ≥ 76 applies.
If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?
Answers:
202.1
50.3
or 223.5
Answer:
The answer to your question "If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?
" is 50.3
Hi is 19,683 the answer?
Answer:
No
Step-by-step explanation:
the answer is 3.
3×3×3=27.
therefore the cube root of 27 is 3.
Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a dilation. What is the scale factor of the dilation?
Answer:
Scale factor is 1/4
The scale factor is 1/4.
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii.
Given:
As per the figure
C'D' = 3 units
and, CD = 12 units
So, Scale factor = Dimension of the new shape / Dimension of the original shape.
=3/12
=1/4
Hence, the scale factor is 1/4.
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Consider the line y=−4x+2.
Find the equation of the line that is perpendicular to this line and passes through the point , (−3,5).
Find the equation of the line that is parallel to this line and passes through the point , (−3, 5).
equation of perpendicular line:
equation of parallel line:
Answer and step by step esplanation:
The perpendicular line has the slope opposite and inverse, in our case [tex]-4 \rightarrow +\frac14[/tex]
Line passing through the point will have then equation - using the point-slope form [tex]y-y_0=m(x-x_0)[/tex]
[tex]y-5=\frac14 (x-(-5))\\y-5=\frac14(x+5)[/tex]
The parallel line will have the same slope as the given line, in our case -4. Again with the point-slope equation:
[tex]y-5=-4(x-(-5)\\y-5=-4(x+5)[/tex]
Answer:
Perpendicular: y = 1/4x + 5 3/4
Parallel: y = -4x - 7
Step-by-step explanation:
Hello!
A perpendicular line would have a negative reciprocal slope, meaning you flip the sign of the slope, and the numerator and denominator.
Perpendicular LineGiven our equation: y = -4x + 2, we can find the perpendicular slope by finding the negative reciprocal:
-44 -> negative1/4 -> reciprocal (4/1 -> 1/4)So the perpendicular slope is 1/4.
We can now solve for the y-intercept by plugging in the x and y-value of the point into the equation y = 1/4x + b:
y = 1/4x + b; (-3,5)5 = 1/4(-3) + b5 = -3/4 + bb = 5 3/4.The y-intercept is 5 3/4, so the equation of the line would be y = 1/4x + 5 3/4.
_____________________
Parallel LineParallel lines have the same slope. So we can use -4 as our slope, and plug in the points to find the y-intercept.
y = -4x + b; (-3,5)5 = -4(-3) + b5 = 12 + b-7 = bSo the equation of the parallel line would be y = -4x - 7.
Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the population was 185,000.
a. Find the constant rate of continuous growth, k, for this population. (Please round to 5 decimal places)
b. When will the population reach 250,000 people?
The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.
For solving this question, you should apply the Population Growth Equation.
Population Growth EquationThe formula for the Population Growth Equation is:
[tex]P_f=P_o*(1+\frac{R}{100} )^t[/tex]
Pf= future population
Po=initial population
r=growth rate
t= time (years)
STEP 1 - Find the constant rate of continuous growth, k, for this population.
For this exercise, you have:
Pf= future population= 185,000 in 2020.
Po=initial population =150,000 in 2010.
r=growth rate= ?
t= time (years)=2020-2010=10
Then,
[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%[/tex]
STEP 2 - Find the t for population 250,000 people.
[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36[/tex]
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An architect’s drawing was drawn so the scale of 1/2 inch represented 6 feet. What was the actual height of a wall marked 4 1/2 inches high?
Ratio remains same
Let that be x4 -1/2=9/2[tex]\\ \rm{:}\dashrightarrow 1/2/6=9/2/x[/tex]
[tex]\\ \rm{:}\dashrightarrow x/2=27[/tex]
[tex]\\ \rm{:}\dashrightarrow x=54ft[/tex]
help pleasee and thank you
Answer:
354.20 + 50.60w ≥ 1,099.51
Step-by-step explanation:
2^3 + 4m divided by 2 when m = 1.5
PLS HELP ME RN!!!
Answer:
14
Step-by-step explanation:
2^3 is 8. 8+4(1.5) is 8+6 is 14.
Answer:
Answer is 7 after simplifying and solving.Step-by-step explanation:
Equation that we have been provided with :
[tex]\boxed{ \tt {\dfrac{2 {}^{3} \: + \: 4m}{2}\: }} \: \red\bigstar[/tex]And the value of m is 1.5. So we would be simply substituting the value of m in the equation given above and divide it by 2 as per the demand of the question.
[tex]: \longmapsto \: \sf{\dfrac{2 {}^{3} \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{(2 \times 2 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{(4 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: \times (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 6}{2}\: }[/tex]
[tex] : \longmapsto \: \sf{\dfrac{14}{2}\: }[/tex]
[tex]: \longmapsto \: \cancel{\sf{\dfrac{14}{2}\: }}[/tex]
[tex]: \longmapsto \: \red{\bf{7}}[/tex]
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?
In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.
The map is an illustration of parallel lines and a transversal
The measure of angle X is 105The measure of angle Y is 75The measure of angle Z is 105How to determine the measures of the anglesAngles X and 75 are supplementary angles.
So, we have:
X = 180 - 75
Subtract
X = 105
Angles Y and 75 are corresponding angles.
So, we have:
Y = 75
Angles X and Z are alternate exterior angles.
So, we have:
Z = X
This gives
Z = 105
Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively
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Based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:
X = 105° (supplementary angles)Y = 105° (corresponding angles)Z = 105° (alternate exterior angles)What are Angles formed by a Transversal and Parallel Lines?Some of the angle measures formed are:
Linear pair angles which are supplementary.Corresponding angles which are congruent.Alternate exterior angles which are congruent.Thus:
X = 180 - 75 = 105° (supplementary angles)
Y = X = 105° (corresponding angles)
Z = X = 105° (alternate exterior angles)
Therefore, based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:
X = 105° (supplementary angles)Y = 105° (corresponding angles)Z = 105° (alternate exterior angles)Learn more about transversal and parallel lines on:
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compare using > , < , >,<,is greater than, comma, is less than, comma or = =equals. 7 5 × 15 5 7 ×15 start fraction, 7, divided by, 5, end fraction, times, 15, space 15 15space, 15 how do you know your answer is correct? choose 1 answer: choose 1 answer:
Answer:
7/5 times 15 is greater than 15
Step-by-step explanation:
I divided 7 over 5 and it came out to be 1.4, then I multiplied 1.4 to 15 and got 21.
You purchase a car for $36,000. Five years later, the car is worth $28,500.
a. By how much is the car decreasing in value per year? (3 points)
Hint: Find the slope
Find the equation that would give the worth of the car for any given year. (4 points)
*y = mx +b
Answer:
36,000-28,500
=7,500 decrease per year
Convert: 8 quarts = _____ pints
2 pints
4 pints
16 pints
32 pints
Answer:
C. 16 pints
Step-by-step explanation:
1 quart equals to 2 pints
Answer:
answer is 2 pints
Step-by-step explanation:
2 x 4 is 8
18 19 21 22 25 27 29 30 31 34 find the mean
Answer:
25.6Step-by-step explanation:
Since the mean is also average
You
1) Add all your values
-----18+19+21+22+25+27+29+30+31+34
= 2562) Then, divide [256] by how many points/numbers you have
-----256 / 10
= 25.6Your average/mean is 25.6
In the triangle shown, P is the centroid.
AP = 16, PD = 7, and CF = 21. Find FP.
Answer:
7
C is one angle on Triangle
F point is between A and D
CF line is passes through the point P which is center
then From CP=2PF
CF=2x
PF=x
2x+x=21
3x=21
x=7=PF
Question 6 of 10
Find the sum of the complex numbers.
(3 + 5i) + (10 + 7i)
A. 13 + 2i
B. 7 + 2i
c. 7+12i
D. 13 + 12i
The equation computed shows that the sum of the complex number is D. 13 + 12i.
How to solve an equation?From the information given, the thing that we have to do is to simply collect the like terms and solve the equation.
Therefore, the sum of (3 + 5i) + (10 + 7i) will be calculated thus:
= (3 + 5i) + (10 + 7i)
= 3 + 10 + 5i + 7i
= 13 + 12i
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Correct answers only please put number with answer ex:(1.A, 2.B, 3.C etc.)
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Here, [tex]\frac{3}{4}v[/tex] tells us that the vector [tex]v[/tex] is impacted by a scale factor of [tex]\frac{3}{4}[/tex], so we are doing scalar multiplication basically for both components of the vector. This only impacts the magnitude of the vector and not its direction. If we were to assume that [tex]v=\langle4,8\rangle[/tex], then [tex]\frac{3}{4}v=\langle\frac{3}{4}(4),\frac{3}{4}(8)\rangle=\langle3,6\rangle[/tex]. Therefore, this matches vector [tex]u[/tex], so D is the correct answer
Problem 2
Cannot be able to read as the text is too small
Problem 3
Cannot be able to read as the text is too small
Problem 4
[tex]-7u=\langle-7(8),-7(-4)\rangle=\langle-56,28\rangle=-56i+28j[/tex], so A is correct. Remember to use scalar multiplication for each component.
Problem 5
[tex]r-s=\langle5-9,11-(-8)\rangle=\langle-4,19\rangle[/tex], so B is correct. Remember to subtract the horizontal and vertical components seperately.
Which equation represents the function on the graph?
what is equivalent to 5(3y)?
Answer:
3(5y) or 1(15y)
Step-by-step explanation:
Hopefully this helps you! Have a great night/day!
which fraction is closest to 1 a) 8/7 b) 9/11 b) 6/5 c) 1 whole 2/9
Step-by-step explanation:
a) 8/7
hope it helps u...
how many solutions does "-4x" + 10 y = 6 2x - 5y = 8
Answer:
Infinitely many
Step-by-step explanation:
There are many solutions because 0=0.
Q. A room measure 3m 55cm by 2m 25 cm. What is the perimeter of the room?
Ans. Given L=3m,55cm
B=2m,25cm
Perimeter = 2(l+b)
=2 (3m,55cm + 2m, 25cm)
3m 55cm
2m 25cm +
_____________
5m 80cm
______________
2×(5cm,80) 5×2=10 , 80×2=160
So 10m 160cm
but the answer is 11m 60 cm why and how to convert?
Answer:
100cm = 1m
Thus, one more step should be added to your working to arrive at the final answer:
Perimeter
= 10m 160cm
= 11m 60cm
This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.
Alternative working:
Convert all the units to cm first.
[tex]\boxed{1 \: m= 100 \: cm}[/tex]
Length
= 5m 55cm
= 300cm +55cm
= 355cm
Breadth
= 2m 25cm
= 200cm +25cm
= 225cm
Perimeter
= 2(length +breadth)
= 2(355 cm +225 cm)
= 2(580 cm)
= 1160 cm
= 11m 60cm
From the second last step to the last step, you could divide 1160 by 100 to find how many meters are there. You would get a quotient of 11 and a remainder of 60. Since this 60 cannot be changed into meters as a whole number, we can leave it as 11m 60cm. Otherwise, it is also correct to leave it as 1160cm or 11.6m unless otherwise stated.
However, 10m 160cm is not preferred since the conversion of cm to m is done partially, as the 160 cm can still be further simplified.
Over 40 hours a person earns $1,000. How much money does she earn per hour?
Shop and Save sells bananas for 80¢, apples for 25¢, and mangoes for 60¢. How much money will you spend if you buy 4 bananas, 3 apples, and a mango? (Notice that the prices are in cents and the answer is in dollars.)
Answer:
$4.55
Step-by-step explanation:
banana: 80¢ = $0.80
apple: 25¢ = $0.25
mango: 60¢ = $0.60
4 bananas, 3 apples, and a mango =
= 4 × $0.80 + 3 × $0.25 + 1 × $0.60
= $4.55
Jack rides in a motorboat against a river current for 36 km. Then he returns to his
starting point by floating down river on a raft. Tommy travels 9 hours less on the
motorboat than on the raft. Find the speed of the river current if the speed of the
motorboat in still water is 15 km/h.
The speed of the river current is 11.5 km/h.
What is speed?
Speed is the ratio of total distance travelled to total time taken. IT is given by:
Speed = distance / time
Let b represent the speed of the current and t represent the time, hence:
(15 + b)= 36/t
t = 36 / (15 + b)
Also:
(15 - b)= 36/(t + 9)
t = [36 - 9(15 - b)]/(15 - b)
Hence:
36 / (15 + b) = [36 - 9(15 - b)]/(15 - b)
b = 11.5 km/h
The speed of the river current is 11.5 km/h.
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RSM VERIFIED ANSWER
this answer was written by an RSM student, and has been confirmed by the portal
Answer:
3km/hr
not sure how to do it i just copied off my rsm teacher, but its right lol
also would rly appreciate brainliest but i know i didnt have an explaination. I would also really appreciate if other users would thank and rate this answer so people looking at a later date would know its reliable
Nonsense will be reported!!
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The required additional information required to prove the Triangles congruent are :
[tex]\qquad \sf \dashrightarrow \: 1. \: X V= FD[/tex]
The Triangles will be congruent by HL congruency.
[tex]\qquad \sf \dashrightarrow \: 2. \: MH = MI[/tex]
The Triangles are congruent by LL congruency.
[tex]\qquad \sf \dashrightarrow \: 3. \: \angle EDC = \angle VUC[/tex]
The Triangles are congruent by HA congruency.
[tex]\qquad \sf \dashrightarrow \: 4. \: \angle J = \angle C[/tex]
The Triangles are congruent by LA congruency.
Write a completely simplified rational expression that represents the exchange rate Salma will receive in dollars per euro. Explain how you came up with your expression.
The exchange rate that She will receive is an algebraic expression
The exchange rate that Salma will receive in dollars per euro is [tex]\frac{12x - 9}{4x -6}[/tex]
How to determine the exchange rateThe amount of dollars with Salma is given as:
[tex]Dollar = \frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}[/tex]
The amount of Euro she can buy is:
[tex]Euro = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]
Let the exchange rate be r.
So, we have:
[tex]Dollar * \frac 1r = Euro[/tex]
The equation becomes
[tex]\frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}* \frac 1r = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]
Factorize the expressions
[tex]\frac{3(x + 2)(4x - 3)}{2(x + 5)(x +2)}* \frac 1r = \frac{(x +1)(2x -3)}{(x + 5)*x + 1)}[/tex]
Cancel out the common factors
[tex]\frac{3(4x - 3)}{2}* \frac 1r = \frac{(2x -3)}{1}[/tex]
Make r the subject
[tex]\frac 1r = \frac{2(2x -3)}{3(4x - 3)}[/tex]
Expand
[tex]\frac 1r = \frac{4x -6}{12x - 9}[/tex]
Make r the subject
[tex]r = \frac{12x - 9}{4x -6}[/tex]
Hence, the exchange rate is [tex]\frac{12x - 9}{4x -6}[/tex]
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Find the value of xx, yy, and zz, in the rhombus below.
Answer:
Step-by-step explanation:
Variables y and x have a proportional relationship, where y = 18 when x = 2.
What is the value of x when y = 36?
Enter your answer in the box.
x=
Answer:
x = 4
Step-by-step explanation:
If y = 36, that means the original y = 18 was multiplied by 2. So, we have to multiply x = 2 by 2 as well.
2 * 2 = 4, so x = 4
Tamara is making hot cocoa for a party. Each serving calls for 1/32 pound of sugar. She has 3/4 pound of sugar available. How many servings of hot cocoa can Tamara make?
Answer: Tamara can make 24 servings of hot cocoa.
Step-by-step explanation:
3/4 ÷ 1/32= 3/4*32 =3*8= 24
Hopefully, that makes sense and helps you out!