Answer:
[tex]5\frac{1}{3}[/tex] cups of carrot.
Step-by-step explanation:
Let's set up proportional equation.
6 people need 2 cups of carrots
Let 16 people need x cups of carrots.
We could form ratio for number of people to cups of carrot used as
6:2
16:x
So, proportional equation would be
[tex]\frac{2}{6} =\frac{x}{16}[/tex]
Cross multiply
32=6 x
Divide both sides by 6.
x=[tex]\frac{32}{6}[/tex]
Divide to get mixed number
x=5[tex]\frac{2}{6}[/tex]
Simplify the fraction
x=[tex]5\frac{1}{3}[/tex] cups of carrot.
I WILL GIVE BRAINLEST
Mark sold candles for three weeks. Let x represent the number of candles he sold
the first week. He sold twice the number of candles the second week as he did the
first week. In the third week, Mark sold 4 less than the number he sold the first
week. Which expression represents the total number of candles Mark sold in the
three weeks?
A.2x – 4
B.3x + 4
C.3x – 4
D.4x – 4
Plzssss SHOW YOUR WORK PLZSSS
Answer:
D
Step-by-step explanation:
If x is the first week, and he sold twice the amount so this could be represented as 1x (the first week) plus 2x (the second week since its twice the amount of the first week) and the third week can be represented as 1x-4 since its the same amount of candles sold minus 4. If you add them all together you get 1x+2x+1x-4. if you add like terms you get 4x-4. Hope this helps :)
III
Knowledge Check
Rewrite the equation below so that it does not have fractions.
2
3
x + 4 =
4
Do not use decimals in your answer.
Х
+
5
?
Answer:
[tex]9x- 60=10[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]
Required
Rewrite to remove fractions
The denominators in the above expression are 4 and 6.
So, first we take the LCM of 4 and 6
[tex]LCM = 12[/tex]
Next, multiply both sides of the equation by this LCM (12)
[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]
[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]
[tex]3 * 3x- 60=5 * 2[/tex]
[tex]9x- 60=10[/tex]
Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes dimensions augmentades, respectivament, en 1 cm i 2 cm respecte de les dimensions del primer. Si la suma dels tres perímetres és de 162 cm, quines són les dimensions de cada rectangle?
Resposta:
Primer rectangle:
Amplada = 11
Longitud = 14
Segon rectangle:
Amplada = 12
Longitud = 15
Tercer rectangle:
Amplada = 13
Longitud = 16
Explicació pas a pas:
Donat que:
Primer rectangle:
Amplada = x
Longitud = x + 3
2n rectangle:
Augment de la dimensió d'1 cm respecte al primer rectangle;
Amplada = x + 1
Longitud = x + 4
3r rectangle:
Augment de la dimensió de 2 cm respecte al primer rectangle;
Amplada = x + 2
Longitud = x + 5
Suma dels tres perímetres del rectangle:
Perímetre d'un rectangle: 2 (l + O)
Primer rectangle:
2 (x + x + 3) = 2 (2x + 3) = 4x + 6
2n:
2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10
3r:
2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14
Suma de perímetres = 162
(4x + 6 + 4x + 10 + 4x + 14) = 162
12x + 30 = 162
12x = 162 - 30
12x = 130
x = 11
Per tant,
Primer rectangle:
Amplada = 11
Longitud = 11 + 3 = 14
2n rectangle:
Amplada = 11 + 1 = 12
Longitud = 11 + 4 = 15
3r rectangle:
Amplada = 11 + 2 = 13
Longitud = 11 + 5 = 16
Find the rate of change for the set of data provided in the image below.
Forearm: 14, 15
Foot: 14, 16
A. 2/3
B. 3/2
C. 3
D. 2
Answer:
D should be the answer!
Solve for x !!!!!!!!
Answer:
D) 4
Step-by-step explanation:
By remote interior angle property if a triangle, we have:
19x° + (18x - 4)° = 144°
(18x - 4 + 19x)° = 144°
(37x - 4)° = 144°
37x - 4 = 144
37x = 144 + 4
37x = 148
x = 148/37
x = 4
how do i graph the following X=4
Answer:
Impossible you can’t
Step-by-step explanation:
help? I need a answer
What is the measure of BCD?
Enter your answer in the box.
the measure of BCD = [ ]
Answer: 77
Took the test :)
I’ll mark you brainlist I’ll mark you brainlist
Answer:
Step-by-step explanation:
Slope of the line =3\2
Answer:
its -0.67
Step-by-step explanation:
i typed it into my algevra calc
Spammers will be reported!
Solution needed with a fair explanation
Answer: c. 0.40396
Step-by-step explanation:
The total number of flaws is given by:
[tex]{\left({0}\times{4}\right)}+{\left({1}\times{3}\right)}(0\times4)+(1\times3) +{\left({2}\times{5}\right)}+{\left({3}\times{2}\right)}+(2\times5)+(3\times2) +{\left({4}\times{4}\right)}+{\left({5}\times{1}\right)}+(4\times4)+(5\times1) +{\left({6}\times{1}\right)}+(6\times1)={46}=46[/tex]
Average number of flaws for the 20 sheets : [tex]\displaystyle\mu=\frac{46}{{20}}={2.3}[/tex]
Required probability : [tex]=P(X\geq3)=1-P(X<3)[/tex]
[tex]=1-[P(X=0)+P(X=1)+P(X=2)][/tex]
[tex]=1-(\dfrac{e^{-2.3}2.3^0}{0!}+\dfrac{e^{-2.3}2.3^1}{1!}+\dfrac{e^{-2.3}2.3^2}{2!})\ \ \ [\text{Poisson distribution formula: }P(X=x)=\dfrac{e^{-\mu}\mu^x}{x!}]\\\\=1-0.596038825932=0.403961174068\approx0.40396[/tex]
Hence, c. is the correct option.
Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.
Answer:
a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.
Step-by-step explanation:
Given
[tex]y = 70h + 100[/tex]
Required
Interpret
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex]
By comparison with [tex]y = 70h + 100[/tex]
[tex]m = 70[/tex]
i.e. He travels at 70 miles per hour
And
[tex]b = 100[/tex]
This represents the initial distance as at when he started travelling (12 noon)
i.e. At noon, he is 100 miles away from home
Answer:
A is the right answer.
Step-by-step explanation:
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2 √7
4 √10
160
Answer:4 10
Step-by-step explanation:
Answer:4 √10
Step-by-step explanation:
edgy
Seth and Karen are college students who take on different jobs for income. Seth needs $750 for expenses and savings each month; Karen needs $700.
Seth has a part-time job where he earns $7.50 per hour. He also mows lawns and earns $15 per lawn that he mows. His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Before you begin, decide with your partner who will work with Seth's information and who will work with Karen's information.
Working with the Equations
Work Separately
Each partner must change the equation that represents his or her chosen college student to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Comparing Students
Work Together
Each partner now has an equation, function, and graph that represent the combinations of activities resulting in the income needed for each student. Compare these items and answer the following questions:
Which student, Seth or Karen, has the higher slope when the graphs of their earnings are compared? How can you tell?
Whose graph, Seth's or Karen's, has a greater y-intercept? What does that mean for this person?
If both students work 80 hours for the month, is the number of lawns Seth has to mow greater than or less than the number of dogs Karen has to walk? Justify your answer.
Karen begins charging $8 per hour for babysitting, and Seth begins earning $8 per hour. How does this change affect their graphs if everything else remains the same?
Answer:
Seth:
Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen:
Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Part A: Converting it in function for by solving for y first.
Solving 7.50x + 15y = 750, equation we get
7.50x + 15y = 750
15y = -7.50x + 750
y = -1/2x + 50
Solving 6x + 4y = 700 for y, we get
6x + 4y = 700
4y = -6x + 700
y= -3/2x + 175.
On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.
If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.
Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.
In function form we could write equation as
f(x) = -1/2x + 50 and
f(x) = -3/2x + 175.
Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.
Therefore, Karen has greater y-intercept.
This means Karen earns $175 by just walking dogs.
Part C: If both students work 80 hours for the month.
Let us plug x =80 in each of the equations.
y = -1/2x + 50 => y = -1/2(80) + 50 = -40 +50 = $10.
Seth would earn $10 from mowing lawn.
Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.
y = -3/2x + 175 => y = -3/2(80) + 175 = -120 +175 = $55.
Karen would earn $50 from walking dog.
So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.
Therefore, the number of lawns Seth has to mow is less than the number of dogs Karen has to walk.
Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.
The equations would become : 8x + 15y = 750, 8x + 4y = 700.
It would not effect the graph much. Even the y-intercepts would remain same.
There would be a slightly change in slopes.
Step-by-step explanation:
Answer:
If you see this give him brainliest
Step-by-step explanation:
find the value of trignomwtric function:
sec330°
Step-by-step explanation:
sec330°
= 1 / cos330°
= 1 / cos30°
= 1 / (√3/2)
= 2/√3.
Answer:
[tex]\frac{2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the identity
secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sec330°
= [tex]\frac{1}{cos330}[/tex]
= [tex]\frac{1}{cos(360-330)}[/tex]
= [tex]\frac{1}{cos30}[/tex]
= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]
= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{2\sqrt{3} }{3}[/tex]
Howdy! Is there someone who can help me on questions 1-3 please?
Answer:
1. Reflection across the y-axis
2. ΔXYZ = ΔABC
3.
∠A =∠X
∠B =∠Y
∠C =∠Z
AB = XY
BC = YZ
AC = XZ
1. Reflection across the y-axis
2. ∆XYZ ~= AABC
3.
angleA=angleX
angleB=angleY
angleC=angleZ
ZAB = XY
ZAB = XYBC = YZ
ZAB = XYBC = YZAC = XZ
X 2/4/8/10/16
Y 12458
O y= 2 x
O y=1 x
O y=x-1
Oy= x=2
Answer:
y = 1/2 x
Step-by-step explanation:
Given the table
X 2//4//8//10//16
Y 1//2//4//5//8
We are to find the equation that represent the table
Using the coordinates of x and y components from the table (2, 1) and (4, 2)
The standard expression for the equation is expressed as y = mx+c
m is the slope
c is the y-intercept
Get the slope;
m = y2-y1/x2-x1
m = 2-1/4-2
m = 1/2
Get the intercept c:
Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c
1 = 1/2(2) + c
1 = 1+c
c = 1-1
c = 0
Get the required equation
Recall that: y = mx+c
y = 1/2 x + 0
y = 1/2 x
Hence the required equation is y = 1/2 x
Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5
Answer:
The probability is zero
Step-by-step explanation:
For a number to be a multiple of 5, the number must end with either 0 or 5
These are the only numbers in which we can have 5 as a factor of
Now when we raise 2 to any number, there are only some sets of possible results
These numbers are only multiples of 2
These can be;
2, 4, 6 and 8
No root of two has its end in 0 or 5, so none has 5 has its factor
Let us now look at 3
The multiples of 3 when raised are;
3,9,1,7,
As we can see, at no point do we have 5 or 0 as the result
So since we have none of both as ending 5 or 0, the probability we are looking for is zero
can someone help me fast please
Answer:
2.5/10 = 0.25 cents per ounce
Determine whether the relation is a function.
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x
====================================================
Explanation:
The equation y = (2/9)x is in the form y = kx
In this case, k = 2/9.
The value of k is the constant of proportionality.
All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.
Which is a perfect square?
Answer:
I can't see anything
A perfect square is the product of a rational number multiplied by itself.
Examples: 20 square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.
Hope this helps
A circle has a radius of 12. Find the area of the sector whose central angle is 120°.
I need help with this question! Will mark brainliest :)
Answer:
A. y = 5/4x - 3
B. slope is 5/4
C. y intercept is -3
D. Increasing
Step-by-step explanation:
5x - 4y = 12
Slope intercept form: y = mx + b
4y = 5x - 12
y = 5/4x - 3
Slope is 5/4
Y intercept is when x = 0 so it is -3
the slope is positive, therefore the line is increasing
The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answer:
An Echo
Step-by-step explanation:
p l e a s e h e l p a s a p:) will mark brainliest and answer any q if correct:))
Answer:
last one
Step-by-step explanation:
someone help plzzz zz z
Answer:
B
Step-by-step explanation:
A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.
Which answer choice best describes the domain and range of the function for this situation?
Answer:
Step-by-step explanation: the answer is c
Explain how you would trace an argument. (1 point)
A. You would trace an argument by seeing if the reasons and evidence are
relevant in their support of the claim.
B. You would trace an argument by determining if the claim is true based on
the writer's different opinions.
C. You would trace an argument by seeing if the counterclaim provides
enough evidence and support for the topic.
D. You would trace an argument by deciding if
you agree with the stance that
the writer chose for the topic.
Answer:
A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.
Step-by-step explanation:
The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.
The following information should not be considered:
When the claim is true and depend upon the different writer opinion. When there is counterclaim and it gives sufficient evidence.When the writer choose for the topic.Therefore we can conclude that the first option is correct.
Learn more: brainly.com/question/17429689
find the slope of each line
5. y= -2x+5. 6. 3x+6y=12
Answer:
5. Slope = -2x
(Full system: y = -2x + 5)
6. Slope = -1/2x
(Full system: y = -1/2 +6)
Solve for x to make the proportion true.
*
22
44
6
X =