Answer:
x = 148⁰
Step-by-step explanation:
180⁰-32⁰= 148⁰
so 32⁰ angle is parallell to c angle so that means x equals to 148⁰
p and x are parallels
Georgia is a coffee enthusiast and drinks three coffee drinks a day from a local coffee shop costing $1.25 each. Being concerned with the expense of her coffee habit Georgia looks into making her own manual brewed coffee. A bag of premium coffee beans costs $70.00, a coffee grinder costs $120.00, and the manual coffee brewer costs $40.00. If a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money.
She needs to consume 3 full bags of coffee before saving money.
Amount calculationSince Georgia is a coffee enthusiast and drinks three coffee drinks a day from a local coffee shop costing $1.25 each, and being concerned with the expense of her coffee habit Georgia looks into making her own manual brewed coffee, and a bag of premium coffee beans costs $70.00, a coffee grinder costs $120.00, and the manual coffee brewer costs $40.00, to determine, if a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money, the following calculation must be performed:
70 x 1 + 120 + 40 = 230 / 100 = 2.370 x 2 + 120 + 40 = 300 / 200 = 1.570 x 3 + 120 + 40 = 370 / 300 = 1.23Therefore, she needs to consume 3 full bags of coffee before saving money.
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1 Susie wants to make some hot cereal for breakfast. The directions say to use 3 cups
of water with 1 cup of cereal to make 4 servings. Susie only wants 1 serving.
a
How much cereal should she use?
b How much water should she use?
Using proportions to relate the amount of cups needed, it is found that she should use:
a) 0.25 cups of cereal.
b) 0.75 cups of water.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, for 4 servings, 3 cups of water and 1 cup of cereal is needed. One serving is one-fourth of the amount, hence:
Item a:
1/4 x 1 = 0.25 cups of cereal.
Item b:
1/4 x 3 = 3/4 = 0.75 cups of water.
More can be learned about proportions at https://brainly.com/question/24372153
find the midpiont between y and 31 is -5 find y
Answer:
y=-41
Step-by-step explanation:
[tex]\frac{y+31}{2} =-5\\y+31=-5 \times 2\\y+31=-10\\y=-10-31\\y=-41[/tex]
find the measure of angles 2, 3, and 4. input the measures then click done. i-ready
please help i missed a day of class i cant figure this out
Answer:
m∠2 = 95°
m∠3 = 85°
m∠4 = 95°
Step-by-step explanation:
Vertical Angle Theorem:
When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.
Therefore,
m∠3 = 85°
m∠2 = m∠4
Linear pair:
Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.
Therefore,
85° + m∠2 = 180°
m∠3 + m∠4 = 180°
If 85° + m∠2 = 180°
⇒ m∠2 = 180° - 85°
⇒ m∠2 = 95°
As m∠2 = m∠4 then m∠4 = 95°
Select all expressions equivalent to
532
20
202
124
55
51.43
5.43
A city has a population of 380,000 people. Suppose that each year the population grows by 6.5%. What will the population be after 10 years?
Round your answer to the nearest whole number.
1. Suppose you pay back $680 on a $650 loan you had for 75 days. What was your simple annual interest rate?
well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year. We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r[/tex]
For a ride on a rental scooter, Goran paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran's ride was $23.79. For how many minutes did Goran ride the scooter?
Answer:
Step-by-step explanation:
he paid a 3 dollar fee so we can remove that 23.79-3 = 20,79
now we devide 20,79 by 11 or 189 minutes.
Solve by completing the square:
x2 + 2x-8= 0
-8
a.
x = -4 or 2
b. X= 4 or 2
-
=
c.
x= -4 or - 2
d. X= 4 or - 2
x
molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the numbers 9 through 0
38 38 21 50 64
71 66 42 47 90
80 82 29 98 27
87 89 89 93 03
let the numbers from --- to ----- represent a successful free throw.
let the numbers from ---- to ----- represent a missed free throw.
based on the simulated results, the probability that molly makes both free throws is
----- or ------%
The random number simulator of Molly's throws is an illustration of probability.
The probability of making both free throws is 30%
How to determine the probability?From the complete question, we understand that:
The simulator is based on numbers 0 to 9
Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw
So, we have:
Let the numbers from 0 to 6 represent a successful free throw.Let the numbers from 7 to 9 represent a missed free throw.From the random numbers, she has two successful free throws in:
21 50 64 66 42 03 --- 6 numbers of 20
The probability of making two free throws is then calculated as:
P = 6/20
Evaluate
P = 30%
Hence, the probability of making both free throws is 30%
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Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
Answer:2 squared +3 squared and the square root of that number
Step-by-step explanation:
The area of a square slice of cheese is 25 square inches. The perimeter of the slice of cheese is
Choose...
inches.
Answer:
As Per Provided Information
Area of given square slice of cheese is 25 square inches .
We have been asked to determine the perimeter of the slice of cheese .
First we will find the side of square slice of cheese .
Let us assume the side of square slice of cheese be s .
Now Let's Solve
[tex] \boxed{\bf \:Area_{(Square)} = {Side}^{2}}[/tex]
Substituting the value and we obtain
[tex] \sf \longrightarrow \: 25 = {s}^{2} \\ \\ \\ \sf \longrightarrow \: \sqrt{25} = s \\ \\ \\ \sf \longrightarrow \: s \: = 5 \: inch[/tex]
So, the side of square slice cheese is 5 inch
Now let's calculate the Perimeter of cheese
[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]
Substituting the value we obtain
[tex] \longrightarrow \sf \: Perimeter_{(Square)} = 4 \times 5 \\ \\ \\ \longrightarrow \sf \: Perimeter_{(Square)} =20 \: inches[/tex]
Therefore,
Perimeter of square slice of cheese is 20 inches .I need to solve 5 :(
Answer:
the distance between df is just 2dj so i belive its 12.
Step-by-step explanation:
How do I solve for X?
The value of x in the special right triangle is 39.60 ft.
Right angle triangleRight angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.
Therefore, let's find the base of the triangle with 30 degrees.
sin 30° = opposite / hypotenuse
1 / 2 = 7 / b
b = 14 ft
Let's use the value(14 ft) to find the height of the biggest triangle.
sin 30 = opposite / hypotenuse
sin 30 = 14 / h
0.5h = 14
h = 14 / 0.5
h = 28 ft
Therefore, let's find the value of x .
sin 45° = 28 / x
x = 28 / 0.70710678118
x = 39.5979797464
x = 39.60 ft
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P: Using your prior knowledge how would you find the area of a rectangle ?
Answer: w * l
To find the area of a rectangle the formula used is width x length
Step-by-step explanation:
20 POINTS!!!
If A varies directly as B and inversely as C and when A = 6, B = 10 and C = 15. Calculate C when A = 92 and B= 107
Answer:
C = [tex]\frac{963}{92}[/tex]
Step-by-step explanation:
given A varies directly as B and inversely as C then the equation relating them is
A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation
to find k use the condition A = 6 , B = 10 , C = 15 , then
6 = [tex]\frac{x10k}{15}[/tex] ( multiply both sides by 15 )
90 = 10k ( divide both sides by 10 )
9 = k
A = [tex]\frac{9B}{C}[/tex] ← equation of variation
when A = 92 and B = 107 , then
92 = [tex]\frac{9(107)}{C}[/tex] ( multiply both sides by C )
92C = 963 ( divide both sides by 92 )
C = [tex]\frac{963}{92}[/tex]
Answer:
C = 963/92
Step-by-step explanation:
Given :
A ∝ BA ∝ 1/CFinding the constant of variation, k
A = kB/C6 = k(10)/(15) [Given in 1st part of question]6 = 2k/3 2k = 18k = 9Finding C
Using the same equation, and new values of A and B, we can find CA = kB/CC = kB/AC = 9 x 107 / 92C = 963/92How do you know what units to use for Tamara to feed her cats
The units use for Tamara's cats is an illustration of metric units
Tamara's unit of feeding her cats is cups
How to determine the unit of measurement?From the complete question, the amount of feed Tamara gives her cat to be:
Amount = 1/8 cups
This means that the unit of feed Tamara used is cups
Hence, Tamara's unit of feeding her cats is cups
Read more about metric units at:
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Ayuda porfavor!! E estado intentando y no lo puedo resolver
CURSO: MATEMÁTICAS FINANCIERAS
bro i really dont know this is hard
The length of a rectangle is triple the width. If the area of the rectangle is 75 square inches, then find the length and width
Answer:
W = 5
L = 15
Step-by-step explanation:
Formula for Area of Rectangle is L × W
Since stated triple;
L = 3W
Area = L×W = 3W² = 75
It'll be:
3W² = 75
Divide both sides with 3:
3W² = 75
3 3
W² = 25
Then square root both sides:
w = 5
Again stated that length is triple the width:
L = 5 × 3
L = 15
Therefore;
W = 5
L = 15
please help I'm so stuck on this
Answer:
divide the anser in the pasage
Step-by-step explanation:
divide the two numbers
Add. Simplify the answer and write the answer as a mixed number if appropriate 3/8+2/3
An AC generator produces an alternating current with a peak value of 18 V. The resistance of the lamp is 4 ohms. What is the effective current?
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
What is current?Current is the flow of electrons through a conductor when voltage is applied across the conductor.
Given the peak voltage of 18 V, hence:
[tex]V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\[/tex]
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
Find out more on current at: https://brainly.com/question/24858512
How do I do this question folks?
Answer:
Correct answer: B
Step-by-step explanation:
Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.
In the graph, you can see that the graph is defined for [tex]-3\leq x < 1[/tex] (not-including 1 because there is an open hole there, indicating it is not part of the domain), and [tex]2\leq x\leq 4[/tex].
Now that we know the domain, we can attach it to the graphs that lie on those domains.
We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.
At this point, you can just start crossing off answers that don't meet this criteria.
Cheers!!
the ratio of the length of shantels pool to the length of juan's pool is 3 to 5 shantels pool is 30 meters how long is Juan’s pool
Step-by-step explanation:
the ratio of the pool lengths is 3/5.
that means for every 3 meters of length on Shantel's pool, there are 5 meters of length on Juan's pool.
it the other way around : to get to the size of Shantel's pool, every 5 meters of length on Juan's pool are converted to 3 meters.
x = length of Juan's pool
x × 3/5 = 30
3x = 150
x = 50 meters
you see the relationship ?
3/5 = 30/50 = 300/500 = ...
but it is true for any factor
3/5 = 15/25 = 24/40 = 6/10 = ...
once you see the factor for one part of the ratio, you know there is the same factor for the other part (or parts) of the ratio. otherwise the ratio would not stay the same and keep the relationship.
"The sum of a number and 20 is multiplied by 6 and the result is 26."
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Consider the number as x
let's solve ~
[tex]\qquad \sf \dashrightarrow \:6(x + 20) = 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + 120 = 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x = - 120 + 26[/tex]
[tex]\qquad \sf \dashrightarrow \:6x = -94[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 94 \div 6[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 47}{3} [/tex]
・ .━━━━━━━†━━━━━━━━━.・
Answer:
[tex](x + 20) 6 = 26[/tex]
[tex]6x + 120 = 26[/tex]
[tex]6x = 26 - 120[/tex]
[tex]6x = - 94[/tex]
[tex] \displaystyle \: x = \frac{ - 94}{6} [/tex]
[tex] \displaystyle{x = \frac{ - 47}{3} }[/tex]
[tex]\red {\rule{35pt}{2pt}} \green{ \rule{35pt}{2pt}}\orange{ \rule{35pt}{2pt}}\pink{ \rule{35pt}{2pt}}\blue{ \rule{35pt}{2pt}}\purple{ \rule{35pt}{2pt}}\red{ \rule{35pt}{2pt}}[/tex]
[tex] \bold{ \displaystyle{x = - \frac{47}{3} }}[/tex]
Need Help Please!!
Determining the price for a product can be tricky! Companies often have to juggle several variables in order to find the price that maximizes their revenue. Currently, the price of a product is set at $100. The company is getting about 20 customers per week at this rate. The company has done some research and found that they lose two customers for every $5 they increase their price.
Let the variable ”x” represent the number of times the company increases the price by $5. What is the price of the product when x= 3?
Check the picture below.
CAN SOMEONE GIVE ME A RIGHT ANGLE TRIG WORD PROBLEM JUST MAKE IT UP PLS ILL GIVE BRAINLIEST
Answer:
In a right triangle, the leg adjacent to an angle of 25° is 13 cm long. How long is the leg opposite the 25° angle, to the nearest tenth?
Step-by-step explanation:
Using the digits 2, 4, and 6, write a number with a 4 in
the hundred thousands place and a 2 in the hundreds
place.
Answer:
624
Step-by-step explanation:
The cards below have a mean of 25. What is the missing number?: ? 19, 22, 31
Answer: Its 28.
Step-by-step explanation:
The missing number in the card s 28
How to determine the missing number?Represent the missing number with x.
So, we have:
x, 19, 22 and 31
The mean of a dataset is:
Mean = Sum/Count
So, we have:
25 = (x + 19 + 22 + 31)/4
Multiply both sides by 4
100 = x + 19 + 22 + 31
Evaluate the sum
100 = x + 72
Subtract 72 from both sides
x = 28
Hence, the missing number is 28
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Can someone solve this question to me.i will mark brainliest. :)
Answer:
Parent Function: [tex]y=\sqrt{x}[/tex]Horizontal shift: right 3 unitsVertical shift: up 3 unitsReflection about the x-axis: noneVertical strech: strechedStep-by-step explanation:
assume that [tex]y=\sqrt{x}[/tex] is [tex]f(x)=\sqrt{x}[/tex] and [tex]y=\sqrt{-2x+6}+3[/tex] is
[tex]g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3[/tex]
The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.
[tex]y=a\sqrt{x-h}+k[/tex]
factor a 1 out of the absolute value to make the coefficient of x equal to 1
[tex]y=\sqrt{x}[/tex]
factor a 2 out of the absolute value to make the coefficient of x equal to 1
[tex]y=\sqrt{2}\sqrt{x-3}+3[/tex]
find a, h and k for [tex]y=\sqrt{2}\sqrt{x-3}+3[/tex]
[tex]a=1.41421356\\ h=3\\k=3[/tex]
the horizontal shift depends on the value of h when [tex]h > 0[/tex], the horizontal shift is described as:
[tex]g(x)=f(x+h)[/tex] - the graph is shifted to the left h units
[tex]g(x)=f(x-h)\\[/tex] - the graph is shifted to the right h units
the vertical shift depends on the value of k