Answer:
y = -15
Step-by-step explanation:
Given that,
y varies directly as x i.e.
[tex]y\propto x\\\\y=kx[/tex]
Where
k is the constant of variation.
Put y = 12 and x = 4 to find k.
[tex]k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3[/tex]
Now put k = 3 and x = -5 and finding the value of y.
[tex]y=3\times -5\\\\y=-15[/tex]
So, the value of y is equal to -15.
Martha walks at a rate of 1.5 miles per hour. if he walks for 3/4 of an hour, how many miles will she walk?
Answer:
Martha will walk 1.125 miles.
Step-by-step explanation:
3/4 = 0.75
1.5 * 0.75 = 1.125
Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?
Answer:
He poured 2.5 liters into each container
Step-by-step explanation:
Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.
15 is 37 1/2 of what number?
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
whats 4(-2-9.2x)=3(2-7.6x) solve for x
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]Step 2: Add 22.8x to both sides.
[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]Step 3: Add 8 to both sides.
[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]Step 4: Divide both sides by -14.
[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]Therefore, x = -1.
The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.
What is the solution to the equation?Given the equation in the question:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
4 × -2 + 4 × -9.2x = 3( 2 - 7.6x )
-8 - 36.8x = 3( 2 - 7.6x )
-8 - 36.8x = 3 × 2 + 3 × -7.6x
-8 - 36.8x = 6 - 22.8x
Collect like terms:
-8 = 6 - 22.8x + 36.8x
-8 - 6 = - 22.8x + 36.8x
Add like terms:
-14 = 14x
14x = -14
Divide both sides by 14:
x = -14/14
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
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Marjorie needs to cut 5 yards of fabric into sections that are of a yard long. How many sections will she be able to cut from the fabric?
Answer:
5 sections
Step-by-step explanation:
5 yards of fabric is cut in 1 yard long
1 yard +1 yard +1 yard +1 yard +1 yard = 5 yards
5 sections
Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink
Answer:
a
Step-by-step explanation:
wht not
Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage. b. Calculate the probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes. c. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.
Using the binomial distribution, we find that:
a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
c) The mode is of 7.5 hurricanes.
For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
It gives the probability of exactly x successes on n trials, with p probability.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The mode of the number of trials needed for q successes is given by:
[tex]M = \frac{q}{p}}[/tex]
In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].
Item a:
This is the probability of at most 1 damage in 3 hurricanes, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
With [tex]n = 3[/tex].
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]
0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
Item b:
1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.Then
[tex]0.432(0.4) = 0.1728[/tex]
0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
Item c:
Damage from 3 hurricanes, thus q = 3.Then:
[tex]M = \frac{3}{0.4}} = 7.5[/tex]
The mode is of 7.5 hurricanes.
A similar problem is given at https://brainly.com/question/24923631
Steven uses a
caliper that has an absolute error of 0.02 millimeters. An object's width is measured
using the caliper, which records a width of 14.5 millimeters. What equation would represent the situation?
A. |x-0.02|=14.5
B. |x-14.5|=0.02
C. |0.02-x|=14.5
D. |14.5-0.02|=x
The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02
The measurement error = 0.02 millimeters The measured width of caliper = 14.5 millimetersIf the actual width of the caliper is represented as x
The measurement error is an absolute value which can be calculated thus :|Actual value - measured value| = absolute error |x - 14.5| = 0.02Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02
Learn more : https://brainly.com/question/15748955
Given the geometric Saquence 5.14, 45--- find the next three term & the tenth term
Answer:
Step-by-step explanation:
You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you
you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?
Answer:
Step-by-step explanation:
It will take 6weeks for you to have$150
a tire plant makes 10 tires perm inute. If the tire plant runs for 10hours a day, how many days will it take to make 6 million tires?
Answer:
1,000 days
Step-by-step explanation:
6 tires per minute = 600 per hour
600 per hour times 10 hours = 6,000 per day
Divide 6,000,000 by 6,000 per day = 1000 days.
compare the expressions
3 X 10 and 15 x 20 without multiplying them. Explain how she
could compare the factors to compare the expressions without
multiplying them.
Answer:
yes
Step-by-step explanation:
Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.
5*2 is 10, which means that 15*20 is 10 times greater than 3*10.
If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.
Danielle and 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $650 per week. How much did she earn last week if she sold $4,900 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Step-by-step explanation:
She earns $1046 that week
slope of the line (1,2)(4,1)
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
(1,2)(4,1)
1-2 / 4-1
-1/3
Calculate the sum.
2/9+5/9
options:
79
718
1845
−39
Answer:
7/9
Step-by-step explanation:
2+5=7
Denominator stays the same 9
So it's 7/9
Answer:
You sure bout that this is the answer
Step-by-step explanation:
2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9
PLEASE HELP ME, GUYS!
Answer:
Okay I got youuu
Step-by-step explanation:
From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.
The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!
Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are needed for each cup of water?
Answer:
1.33
Step-by-step explanation:
Divide 3 by 3, making it one. Now divide 4 by 3, making it 1.33.
simplify 2√2-3/√2+4/√8
Answer:
This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well
PLEASE HELP ME!! ILL GIVE BRAINLIEST!!
Kate is making hamburgers for her friends and has 7 1/2. pounds of hamburger. How many 1/4 pound of hamburgers can she make?
A. 15
B. 4
C. 30
D. 120
Answer:
C
Step-by-step explanation:
1/4 is .25
4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.
No of hamburgers she can make
[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]
[tex]\\ \sf\longmapsto 30[/tex]
(2) Below is the graph of a function, y = f (x).
(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)
(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.
Answer:
Step-by-step explanation:
a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.
b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.
A line with a slope of -3 passes through (-8,p) and (2,3p).
Find the value of p.
(3p-p)/(2-(-8))= -3
2p/10= -3
2p= -30
p= -15
Answer:
-15
Step-by-step explanation:
Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,
[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]
Substituting the respective values ,
[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)
Simplify ,
[tex]\longrightarrow[/tex] -3 = -2p/-10
[tex]\longrightarrow[/tex] -3 = p/5
[tex]\longrightarrow[/tex] p = 5 * -3
[tex]\longrightarrow[/tex] p = -15
Hence the value of p is -15 .A bookstore is having a 30% off sale. What is the sale price for a hardcover book that normally retails for $28.99?
Answer:
.30times 28.99=$8.697
solve include real and non real solutions.
x^2-8=0
Answer:
[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]
Step-by-step explanation:
[tex]x^2-8=0[/tex]
[tex]x^2=8[/tex]
[tex]\sqrt{x^2} = \sqrt{8}[/tex]
[tex]x=2\sqrt{2}[/tex]
plus or minus
The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more extreme?
Answer:
the shorter man
Step-by-step explanation:
224 cm minus 174.21 = 49.79
49.79/5.56= approximately 9 standard deviations from the mean.
174.21 minus 97.8= 76.41
76.41/5.56= approximately 14 standard deviations from the mean.
bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.
whats 332.23 (234.320)
Answer:
The answer is 77848.1336
.Mother bought 4 1/3 kilograms of bananas and 4 4/5 kilograms of oranges for her children. How many kilograms of fruits did she buy in all?
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ [/tex]
Take LCM of 3 & 5 is 15.
[tex] \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \frac{305}{15} \: Kg} \\ [/tex]
[tex] \sf{ =2 \frac{5}{15} \: Kg} \\ [/tex]
Distributive property 79x36
Answer:
1(79 x 36)
Step-by-step explanation:
Which glide reflection describes the mapping triangle ABC to triangle DEF?
Ana and Ling are solving |3x + 14| = -6x.
Is either of them correct?...............................
Explain your reasoning.
Answer:
No! Both are wrong!
Step-by-step Explanation:
the value of absolute function, (|.|) is always positive
that means -6x always has to be positive
and for -6x to be positive x has to be negative
(since, two negatives make a positive)
therefore, the value of x to the equation will be a negative value and not a positive one.
Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.
ONLY negative value of x will be the solution.
he product of two whole numbers is 864 and their sum is 60 . What are the two numbers?
Answer:
Step-by-step explanation:
xy = 864
x + y = 60 Solve for y in the second equation
y = 60 - x
x * (60 - x) = 864 Remove the brackets.
60x - x^2 = 864 Put in order of powers and subtract 864
-x^2 + 60x - 864 =0 Multiply through by -1
x^2 - 60x + 864 = 0
This factors
(x - 36)(x - 24) = 0
Either
x - 36 = 0 in which case
x = 36
or
x - 24 = 0
x = 24
The two numbers are x = 36 and y = 24
of x = 24 and y = 36