Answers
Answer:
b) [tex]4 \frac12[/tex] inches
3. a) [tex]2\frac{1}{8}[/tex] foot
Step-by-step explanation:
b) area of a rectangle = length × width
Given:
area = 15 3/10length = x + 3width = 3 2/5[tex]\implies 15\frac{3}{10}=(x+3) \times 3\frac25[/tex]
[tex]\implies \dfrac{15\times10+3}{10}=(x+3) \times \dfrac{3 \times 5+2}5[/tex]
[tex]\implies \dfrac{153}{10}=(x+3) \times \dfrac{17}5[/tex]
[tex]\implies \dfrac{153}{10} \div \dfrac{17}5=x+3[/tex]
[tex]\implies \dfrac{153}{10} \times \dfrac{5}{17}=x+3[/tex]
[tex]\implies \dfrac{765}{170} =x+3[/tex]
[tex]\implies \dfrac92=x+3[/tex]
[tex]\implies 9=2(x+3)[/tex]
[tex]\implies 9=2x+6[/tex]
[tex]\implies 2x=3[/tex]
[tex]\implies x=\dfrac32[/tex]
Therefore,
[tex]\textsf{length} = \dfrac32 + 3 = \dfrac92 = 4 \frac12[/tex]
Question 3a
Subtract the length of the picture from the length of the wall, then divide the answer by 2.
[tex]\implies (14\frac12-10\frac14) \div 2[/tex]
[tex]\implies \left(\dfrac{14 \times 2 +1}{2}-\dfrac{10\times4+1}{4}\right) \div 2[/tex]
[tex]\implies \left(\dfrac{29}{2}-\dfrac{41}{4}\right) \div 2[/tex]
[tex]\implies \dfrac{17}{4} \div 2[/tex]
[tex]\implies \dfrac{17}{4} \times \dfrac12[/tex]
[tex]\implies \dfrac{17}{8}[/tex]
[tex]\implies 2\frac{1}{8}[/tex]
Related Questions
Find the equation of the line through point (10,4) and parallel to 3x+5y=8. Use a slash ("/") for fractions (e.g. 1/2 for 12). DO not include spaces in your answers.
Answers
Answer:
3x + 5y = 50
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
3x + 5y = 8 ( subtract 3x from both sides )
5y = - 3x + 8 ( divide terms by 5 )
y = - [tex]\frac{3}{5}[/tex] x + [tex]\frac{8}{5}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{5}[/tex]
Parallel lines have equal slopes , then
y = - [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
to fid c substitute (10, 4 ) into the partial equation
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = - [tex]\frac{3}{5}[/tex] x + 10 ← equation of parallel line in slope- intercept form
multiply through by 5 to clear the fraction
5y = - 3x + 50 ( add 3x to both sides )
3x + 5y = 50 ← equation of parallel line in standard form
Solution:
Step-1: Convert the equation of the line into slope intercept form.
3x + 5y = 8=> 5y = -3x + 8=> y = -3x/5 + 8/5In this case, the slope we obtained is -3/5, which is -0.6. Let's use point slope form to find the original equation.
Step-2: Use point slope form.
y - y₁ = m(x - x₁)=> y - 4 = -0.6(x - 10)=> y - 4 = -0.6x + 6=> y = -0.6x + 10Help please I don't know
Answers
Alright let's do this...
1. Five is less than a number and one = C.
2. Three times a number and five = F.
3. Five less than the sum of a number and two = B.
4. Two less than a number times two = A.
Beverly has a bag of marbles that weighs 30 grams. She knows that each marble weighs 1.5 grams and the bag weighs 1.5 grams.
Which equation could she use to determine how many marbles are in the bag? Select all that apply.
(1.5)x + 1.5 = 30
30 – x = 2(1.5)
(1.5)(30) = 1.5x
1.5 + x = 30
1.5x = 30 – 1.5
Answers
This is slope
Weight of bag(fixed)=1.5The equation is
[tex]\\ \tt\Rrightarrow 1.5x+1.5=30[/tex]
Let's find out
[tex]\\ \tt\Rrightarrow 1.5x=28.5[/tex]
[tex]\\ \tt\Rrightarrow x=19[/tex]
19 marbles
has anyone taken Module Six Project Option 1
Answers
Answer:
depends on the grade level ._.
Step-by-step explanation:
cuz i only am good at 9-11th grade math T-T
What is the equation of the circle?
Center (5,-14)
Radius 5
A. (x – 5)2 + (-14)2 = 5
B.(x - 5)2+(y + 14)2 – 25
C. (x - 5)2 + ( + 14)2 = 5
D. (x – 14)2 + ( + 5)2 = 28
E. (x + 14)2 + (x – 5)2 = 25
Answers
Answer:
b is the answer
[tex](x - 5) {}^{2} + (y + 14) {}^{2} = 25[/tex]
A point on the unit circle has negative x value and a positive y value, select all the possible reference angles it
could come from.
.60
.300
.135
.225
.270
.150
Answers
Considering the points on the unit circle, it is found that the angle is on the second quadrant, hence the possible angles are between 90º and 180º.
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, we have a negative cosine and a positive sine, hence it is an angle on the second quadrant, which can be values between 90º and 180º.
More can be learned about the unit circle at https://brainly.com/question/16852127
Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the fence?
35 ft
70 ft
68 ft
300 ft
Answers
Answer:
70 ft
step-by-step explanation:
perimeter of rectangle = 2 ( length + width )
2(20+15)
2(35)
70
Answer:
Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the feet-----------------------------------------------------------
answer - ----
length = 20
width = 15
perimeter of rectangle is 2 (l+b)
2( 20 + 15 )
= 70 feet answer
If y varies inversely as x squaredand y = 6 when x = 30, what is y when x = 6? a. 216 b. 5 c. 180 d. 150.
Answers
Answer:
C
Step-by-step explanation:
Because i did it and got it right
James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?
Answers
Answer:
6 weeks
Step-by-step explanation:
Total savings= $325
For every week, his total savings decrease by $28.
Let's form an expression for the amount of money left in his account after w weeks.
325 -28w= 157
28w= 325 -157
28w= 168
Divide by 28 on both sides:
w= 168 ÷28
w= 6
Thus, there are 6 weeks until he has $157.
A restaurant owner wants to survey customers to determine their favorite brand of ketchup. Which would provide the best sample?
A) Ask 20 customers chosen at random each day for a week
B) Ask the first 50 customers who come in to the restaurant on Saturday
C) Ask her 10 best customers
D) Ask all the people who live within a block of the restaurant
Answers
100 points for correct awnser
Answers
Answer:
the parallel line is y = 8x + 6
Step-by-step explanation:
so to solve for a parallel line we already know that the slopes are the same. so rn we can write:
y = 8x + b
but since we do not know the y-intercept we can use the points given to find it
we substitute them
-2 = 8(-1) + b
-2 = -8 + b
b = 6
the parallel line is y = 8x + 6
heres a pic if you dont believe me
Slope=m=8
Parallel lines hAve equal slope
Passes through (-1,-2)Equation in point slope form
[tex]\\ \tt\Rrightarrow y+2=8(x+1)[/tex]
[tex]\\ \tt\Rrightarrow y+2=8x+8[/tex]
[tex]\\ \tt\Rrightarrow y=8x+6[/tex]
Which features of figure JKLM remain the same after any rigid transformation? I-ready
Answers
Answer: size and shape
Step-by-step explanation:i got it right on the quiz
The features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.
What is a Rigid Transformation?A rigid transformation, include the following forms of transformations that preserves the size and size of the orginal figure before transformation: translation, reflections, and rotations.
The shape and size of a fugure are preserved after a rigid transformation.
Therefore, the features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.
Learn more about rigid transformation on:
https://brainly.com/question/4057530
Using a ruler and a compass, construct the triangle FGH with FG = 7.5cm, angle FGH = 120° and angle GFH = 30°
Answers
Answer:
(1, –1), (4, –16), (5, –25) i think
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Amanda is placing an order for running shoes and leather boots for her footwear b
many pairs of running shoes as leather boots.
Set up the squations that can be used to find the number of each type of shoe
• the equation that represents the total number of pairs of shoes be referre
. Let constraint 2 refer to the equation that describes the ratio of the number of
Only constraint
would be met if 18 pairs of leather boots and 36 pairs of run
Only constraint
would be met if 12 nairo
Answers
Answer:
see below
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Amanda is placing an order for running shoes and leather boots for her footwear b
many pairs of running shoes as leather boots.
Set up the squations that can be used to find the number of each type of shoe
• the equation that represents the total number of pairs of shoes be referre
. Let constraint 2 refer to the equation that describes the ratio of the number of
Only constraint
would be met if 18 pairs of leather boots and 36 pairs of run
Only constraint
would be met if 12 nairo
How many pennies are on the nth square? 2n 2n – 1 2n 1 2n – 1 2n 1
Answers
The number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
I am assuming the:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
and so on.
It is required to find how many pennies are on the [tex]\rm n^t^h[/tex] square.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
If we observe the pattern, we see it on the [tex]\rm n^t^h[/tex] square the number of pennies will be [tex]\rm 2^n^-^1[/tex]
[tex]\rm n^t^h= 2^n^-^1[/tex]
Thus, the number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
Learn more about the sequence here:
https://brainly.com/question/21961097
Solve for the value of r.
(6r-7)
55°
Answers
Answer:
r=7
Step-by-step explanation:
6r-7+90+55=180
6r+138=180 ----- 6r=180-138
6r=42 ----- divide both sides by 6
r=7
(We get the 90 from the 90degrees in the middle of this supplementary angle and the total, 180, from the straight angle made from all three angles.)
hope this helps!
Mr. Hayden's Bible class collected $11
in coins for a needy family. They col-
lected twice as many quarters as dimes
and 12 more nickels than dimes. How
many of each coin did the class collect?
Answers
This is the only way I can think of this mathematically. This took a good 20 minutes for me. You need to guess and check. Like try 17 quarters, 50 nickels, and 37 dimes etc. until you get 11.00. My numbers are mathematically correct but we both know you cant have 18.909 quarters so. lol
Answer:
Quarters: 18.909
Nickels: 49.818
Dimes: 37.818
Somewhere around those numbers.
Step-by-step explanation:
$11.00 total in coins
Nickel = $0.05
Dime = $0.10
Quarter = $0.25
(n*0.05) + (d*0.10) + (q*0.25)
Solve the equation for q.
[tex]q=\frac{1}{2} d[/tex]
(n*0.05) + (d*0.10) +( [tex]\frac{1}{2} d[/tex] *0.25)
Simplify the expression.
9d + 2n = 440
d - n = -12
Multiply both sides of the equation by -9.
-9d + 9n = 108
9d + 2n = 440
Sum the equations vertically to eliminate at least one variable.
11n = 548
[tex]n=\frac{548}{11}[/tex]
Substitute the given value of n into the equation d - n = -12
[tex]d-\frac{548}{11} =-12[/tex]
[tex]d=\frac{416}{11}[/tex]
Substitute the given value of n into the equation [tex]q=\frac{1}{2} d[/tex]
[tex]q=\frac{1}{2} *\frac{416}{11}[/tex]
[tex]q=\frac{208}{11}[/tex]
Finally
[tex]d=\frac{416}{11}[/tex] d = 37.818
[tex]n=\frac{548}{11}[/tex] n = 49.818
[tex]q=\frac{208}{11}[/tex] q = 18.909
Lashawn makes scrambled eggs with 333 spoonfuls of salsa for every 222 eggs. Gilberta adds 777 spoonfuls of salsa for every 555 eggs.
Whose scrambled eggs have a stronger salsa taste?
Answers
Answer:
Lashawn
Step-by-step explanation:
333/222=1 1/2part salsa per egg - Lashawn
777/555= 1 2/5 part salsa per egg - Gilberta
1 1/2 is greater than 1 2/5
2 2/3 x64 come on i give you lot of points
Answers
Answer:
170 2/3
Step-by-step explanation:
2 2/3 x 64 is the same thing as:
[tex]\frac{8}{3}[/tex] × [tex]\frac{64}{1}[/tex] = ?
Multiply across.
8 x 64 = 512
3 x 1 = 3
Simplify the fraction.
512/3 = 170 2/3
Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The function g(x) = 844(1.06)x models the value of Connor’s account after x years. What is the difference between the percentage points of the two annual interest rates?
A. 7%
B. 1%
C. 6%
D. 4%
Answers
Executives for a car dealership are interested in the sales for the type of vehicle, SUV or truck, and the type of power train, two-wheel drive (2WD), four-wheel drive (4WD), or all-wheel drive (AWD). The data from the
sales of 165 vehicles are displayed in the two-way table.
A vehicle is randomly selected. Let S be the event that
the vehicle is an SUV and let D be the event that the vehicle has 4WD. What is the value of P(S and Dc)?
O 0.04
O 0.23
O 0.38
O 0.41
Answers
Assuming S is the event that the vehicle is an SUV the value of P(S and D) is:0.38.
ProbabilityNumber of vehicles=165
Total number of SUV=10+23+52=85
Hence:
The event that vehicle is SUV(S)=85
The event that vehicle is 4WD(D)=23
Value of P(S and D)=85-23/165
Value of P(S and D)=62/165
Value of P(S and D)=0.375
Value of P(S and D)=0.38 (Approximately)
Inconclusion the value of P(S and D) is:0.38.
Learn more about probability here:https://brainly.com/question/24756209
Answer:
c) 0.38
Step-by-step explanation:
just answered it
A rectangular pool is 6 feet long and 5 feet wide. It is filled to a depth of 2 Teet. A cubic footof water is about 7.5 gallons. If the pool can be filled at a rate of about 10 gallons per minute,now long will it take to fill the pool to a depth of 2 feet? Explain your reasoning.
*QUICK*
Answers
Answer:
450 minutes
Step-by-step explanation:
First, let's calculate the volume of the pool when filled. Volume will be: (length x width x height).
Volume = 6' x 5' x 2 ' = 60 ft^3
1 ft^3 of water occupies 7.5 gallons. That's a conversion factor for water: (7.5 gal)/(1 ft^3).
The total gallons of water in a filled pool would be:\
(60 ft^3)*((7.5 gal)/(1 ft^3)) = 4500 gallons
At a rate of 10 gallons/min, it would take:
(4500 gallons)/(10 gallons/min) = 450 minutes, or 450/60 = 7.5 hours
5 red, 4 green, and 3 blue marbles. A bag contains 5 red, 4 green, and 3 blue marbles. What is the probability of randomly selecting a blue marble, replacing it in the bag, and then randomly selecting a red marble? StartFraction 1 over 48 EndFraction StartFraction 1 over 12 EndFraction StartFraction 5 over 48 EndFraction StartFraction 5 over 12 EndFraction
Answers
Answer:
[tex] \frac{1}{4} [/tex]
[tex] \frac{3}{12} [/tex]
25%
5/48 is your answer on edge 2020
help me as soon as possible due in 20 minutes
Answers
DE =13
What is the equation of the line that passes through
the points (-0.25, -2) and (0.75, -4)?
Answers
Answer: y=-2x-2.5
Step-by-step explanation:
What is the value of x?
x
21.5
13.1
Round your final answer to the nearest tenth.
Use the Pythagorean theorem
Answers
21.5^2 + 13.1^2 = x^2
462.25+171.61=x^2
633.86=x^2
square root both sides
x=25.2
A triangle has two sides of length 2 and 14. What is the largest possible whole-number length for the third side?
Answers
Answer:
15
Step-by-step explanation:
Note that;
The sum of the lengths of 2 sides of a triangle must be greater than but not equal to the length of the third side.
As well as, the third side must be longer than the difference between the greater and the lesser of the other two sides
Given;
First side of the triangle = 17
Second side of the triangle = 2
Let us assume the third side of the triangle = T
Now, In any given triangle:
"Sum of any two sides of a triangle is strictly greater than the third side."
⇒ Sum of first side + Sum of second side > Third Side
or, m < 2 + 14
or, m < 16
Hence, the largest possible value for m = 15
~Learn with Lenvy~
Hurry please!
What is the slope of a line parallel to the line whose equation is x + 2y = -14.
Fully simplify your answer.
Answers
Answer:
Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.
Step-by-step explanation:
Answer:
2 Answers By Expert Tutors. Slope of the line x + 2y = 14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/ (-1/2) = 2.
Step-by-step explanation:
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80. 4 seconds 2 seconds 4. 6 seconds It will never hit the ground.
Answers
Answer: 2 seconds
Step-by-step explanation:
got it right
The cost of a jacket increased from $85.00 to $102.00. What is the percentage increase of the cost of the jacket?
A. 17%
B. 2%
C. 80%
D. 20%
Answers
Subtract to find the amount of the increase:
102-85 = 17
Divide the amount of the difference by the original price:
17/85 = 0.2
Multiply by 100 to get the percent:
0.2 x 109 = 20 %
Answer: 20%