Answer:
x=8
Step-by-step explanation:
1.5x = 12
Divide each side by 1.5
1.5x/1.5 = 12/1.5
x =8
x = 8
Step-by-step explanation:
[tex]\begin{aligned}\tt 1.5x&=12\\\tt\frac{3}{2}x&=\tt 12\to(\times~2)\\\tt 3x&=\tt 24\\\tt x&=\tt\frac{24}{3}\\\tt x&=\tt 8\end{aligned}[/tex]
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
.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]
Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?
Answer:
BM: y = (2/3) x + 16/3 with segment length of 2.77
Step-by-step explanation:
AC formula: m = (6-0)/(0-4) = -3/2
(y-0)/(x-4) = -3/2 y = (-3/2)x + 6 ... (1)
BM slope: BM⊥ AC m = 2/3
BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3
y-4 = 2/3 x + 4/3
y = (2/3) x + 16/3 ... (2) -2≤x≤0.31
intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3
(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31
y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54
M (4/13 , 72/13) or (0.31 , 5.54)
segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77
3. Show that x = –1 and y = 3 satisfy the linear equation 2x + 3y = 7.
4. Write three solutions for the equation 2x + 3y = 8.
Step-by-step explanation:
2x+3y=7
solution
2-1+3+3
1+6
7 ans
4 consecutive integers of 182
44,95,96,97
Step-by-step explanation:
first just do gcf and find your numbers with x
HELP ME PLEASE AND HURRY
the sum of a rational number and a rational number is rational.
-ALWAYS true
-SOMETIMES true
-NEVER true
thae answer is something true
y=-2(x+4)^2+3 find the y-intercept
Answer:
( 0, -29)
Step-by-step explanation:
Answer: ( I solve (more like the internet solve) for both x and y.
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
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
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
$D$ is on side $\overline {AB}$ of $\triangle ABC.$ We know $\triangle ABC \sim \triangle ACD$ and $\angle A =48^\circ.$ If $BC=BD,$ what is $\angle B$ in degrees?
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles
The measure of ∠B is 44°
Reason:
The known parameters are;
The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC
ΔABC ~ ΔACD,
∠A = 48°
BC = CD
Required:
The measure of angle ∠B
Solution:
ΔBDC is an isosceles triangle
Let x, represent ∠B
Therefore, ∠BDC = x, by base angles of an isosceles triangle
Given that ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;
∠ADC = 2·x by exterior angle of a triangle theorem
Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x
Which gives;
48° + x + 2·x = 180° sum of angles in a triangle theorem
[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]
∠B = x = 44°
The measure of ∠B = 44°
Learn more about angles in a triangle here:
https://brainly.com/question/956912
please help me out
find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)
Answer:
(-19,15)
Step-by-step explanation:
Distributive property 79x36
Answer:
1(79 x 36)
Step-by-step explanation:
Am i right on this one?
Answer:
yes
Step-by-step explanation:
brainliest please
Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right
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.
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
#SPJ3
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
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
Pepe’s Pizza makes 26 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne’s Delicatessen makes 52 pizza crusts the first week and 167 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pepe’s Pizza be the same as the number of pizza crusts made by Dianne’s Delicatessen? Explain and show work to support your answer.
Answer: the total number of pizza crusts made by Pep's Pizza
equals twice the total number of pizza crusts
made by Dianne's Delicatessen when:
+52+%2B+180n+=+2%2A%28+26+%2B+90n+%29+
+52+%2B+180n+=+52+%2B+180n+
This equation is satisfied for any value of +n+,
so Pepe's always makes twice as much as Dianne's
Step-by-step explanation:
Solve this equation to determine the number of solutions 3(2 + 4) - 2 = 2(2x + 5) - 2 Plsss help its do today and I leave for school in 20 minutes I have one more question after this!
Answer:
duh
Step-by-step explanation:
At midnight in Alaska, the temperature in Sitka is 29.7 degrees Fahrenheit.
Each hour after that the temperature decreases by 1.23 degrees until the sun comes up.
What is the temperature 2 hours after midnight?
Temperature
Level : JHSthe temperature in Sitka 2 hours after midnight is :
= 29.7°F + (2 × 1.23°F)
= 29.7°F + 2.46°F
= 32.16°F
So, the temperature in Sitka 2 hours after midnight is 32.16°F
#LearnWithEXO
Answer:
27.24° FStep-by-step explanation:
Initial temperature = 29.7° FDecrease rate = 1.23° F / hAfter 2 hours the temperature is:
29.7° F - 2*1.23° F = 27.24° FPLEASE HELP ITS MATH THANK YOUUUU
your friend is trying to guess how much money you make at your job, so you give them a riddle. You tell your friend that you work 3 hours on Friday and 6 hours on Saturday, And that you also receive an allowance of $20 from your parents.. In total you are $92 every week. What would your friend have to guess your wage is in order to be correct?
Answer:
$8 an hour
Step-by-step explanation:
1.) 92 - 20 = 72
2.) 3 x 8 = 24
3.) 6 x 8 = 48
4. 24 + 48 = 72
OR
1.) 92 - 20 = 72
2.) 6 + 3 = 9
3.) 72 / 9 = 8
either way to solve gives you the correct answer as shown above. Also if answer is correct please leave ”thanks” heart
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.
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
PLEASE HELP, ILL GIVE MANY POINTS AND BRAINLIEST ANSWER TOTHE FASTEST ONE
Answer:
WHATS THE QUESTION
Step-by-step explanation:
???rrtrttt r the r
What is the product of (3y^-4)(2y^-4)
6/y^6
1/6y6
6/y16
1/6y16
9x-5
14x+24 A
Determine the value of x.
A) x = 32.2
B) x = -5.8
C) x = -7
D) x = 7
Answer:
letter
B. =-5.8
Step-by-step explanation:
hope its help
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 .Suppose that the relation T is defined as follows.
T={(2, 2), (1, -7), (-5, 3), (3, 0)}
Give the domain and range of T.
Write your answers using set notation.
domain =
range =
solve the attached question.
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Step by step explanation needed!
Step-by-step explanation:
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