Answer: 84 mph 60 mph
Step-by-step explanation:
Let her average speed to home was x mph
Hence, the average speed to her parents was (x+24) mph
Thus:
Jessie spent for the trip to her parents' house: 385/x hours
Jessie spent for the trip to home: 385/(x+24) hours
[tex]\displaystyle\\\frac{385}{x} +\frac{385}{x+24} =11\\\\385(x+24)+385(x)=11(x)(x+24)\\\\385x+9240+385x=11x^2+264x\\\\770x+9240=11x^2+264x\\\\770x+9240-770x=11x^2+264x-770x\\\\9240=11x^2-506x\\\\9240-9240=11x^2-506x-9240\\\\0=11x^2-506x-9240\\\\Divide\ both\ parts\ of\ the \ equation\ by\ 11:\\\\0=x^2-46x-840[/tex]
[tex]\displaystyle.\\Thus,\\\\x^2-46x-840=0\\\\D=(-46)^2-4*1*(-840)\\\\D=2116+3360\\\\D=5476\\\\\sqrt{D} =\sqrt{5476} \\\\\sqrt{D}=74 \\\\x=\frac{466б74}{2*1} \\\\x=\frac{46-74}{2} \\\\=\frac{-28}{2} \\\\x=-14\notin(x > 0)\\\\x=\frac{46+74}{2}\\\\x=\frac{120}{2} \\\\x=60\ miles\ per\ hour[/tex]
[tex]60+24=84\ miles\ her\ hour[/tex]
Jordan bought 4 shirts
that each cost the same
amount and I pair of
jeans
that cost $40.
The items he bought cost
a total of $180 before
tax. What was the cost of
each shirt in an equation.
Answer:
Each shirt costs $35.00
Step-by-step explanation:
1 jeans = $40
4 shirts =$180 - $40 = $140.00
1 shirt = $140 ÷ 4 = $35.00
f (x) = x^2 + 1 g (x) = 5 - x ( f + g)(x) =
The value of (f + g)(x) can be find out by adding both given functions f(x) and g(x) and its value will be x² - x + 6.
What is function ?
A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.
The given functions are :
f(x) = x² + 1
g(x) = 5 - x
We now have to find the value of (f + g)(x).
We know that the value of (f + g)(x) can be calculated by simply adding the values of both given functions which are f(x) and g(x).
So ,
(f + g)(x) = f(x) + g(x)
Now , let's substitute the values of both functions f(x) and g(x) into the above equation , so we will get :
(f + g)(x) = (x² + 1 ) + (5 - x)
Rearranging and solving the terms we get the value of (f + g)(x) as :
(f + g)(x) = x² - x + 6
Therefore , the value of (f + g)(x) can be find out by adding both given functions f(x) and g(x) and its value will be x² - x + 6.
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Write the given decimal number as a mixed fraction in its lowest form 4.5
Answer: 9/2
Step-by-step explanation:
What are the coordinates of the y intercept of the line 2x-4y=4
to get the y-intercept, we can simply set x = 0 and solve for "y".
[tex]2x-4y=4\implies 2(\stackrel{x}{0})-4y=4\implies -4y=4\implies y=\cfrac{4}{-4}\implies y=-1 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (0~~,~~-1)~\hfill[/tex]
-1/2 (10x-4) -( 4x-2)
The value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4
How to evaluate the expression?The expression is given as
-1/2 (10x-4) -( 4x-2)
Rewrite properly as
-1/2 * (10x - 4) - (4x - 2)
Open the brackets
So, we have
-1/2 * (10x - 4) - (4x - 2) = -5x + 2 - 4x + 2
Collect the like terms in the above expression
So, we have
-1/2 * (10x - 4) - (4x - 2) = -5x - 4x + 2 + 2
Evaluate the like terms in the above expression
So, we have
-1/2 * (10x - 4) - (4x - 2) = -9x + 4
Hence, the value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4
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What is 10 less than 43?
Answer:
33
Step-by-step explanation:
43 - 10 = 33
Answer:33
Step-by-step explanation:hope it helps, brainliest? i could really use it
HELP 5TH GRADE WORK
The value of the expression, 8 + (18 ÷6) x (2 x 9 - 4) is 50.
What is the value of the expression?The order of operations gives a guideline with which mathematical operations are solved. The order of operations are provided using the BODMAS rule.
According to BODMAS, the order of operations are brackets, of, division, multiplication, addition and subtraction.
The expression is:
8 + (18 ÷6) x (2 x 9 - 4)
The terms in the bracket would be solved first :
(18 ÷6) = 3
(2 x 9 - 4)
The multiplication would be solved first, then 4 would be subtracted from the result of the multiplication : 18 - 4 = 14
The expression becomes: 8 + 3 x 14
The multiplication would be solved first and then 8 would be added to the result: 8 + 42 = 50
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Please help asap Geometry
Answer:
x=4
Step-by-step explanation:
22x-3+35+60=180
add like numbers.
22x+92=180
180-92=88
22x=88
88 divided by 22
x=4
check work=
22(4)-3+35+60=180
Help me asap Geometry!!!!
Answer:167
Step-by-step explanation: 360 - 90-35-68=167
How many solutions does this have? 4x + 12 = -2x + 16
The equation 4x + 12 = -2x + 16 is one solution.
What is equation?A statement of equality between two expressions consisting of variables and/or numbers.
Given:
4x + 12 = -2x + 16
Now solving for x
4x + 2x = 16 - 12
6x = 4
x= 4/6
x=2/3
Hence, the equation 4x + 12 = -2x + 16 has one solution.
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Each day Donna and Mary toss a coin to see who buys the other person coffee ($1.73 a cup). One tosses and the other calls the outcome. If the person who calls the outcome is correct, the other buys the coffee; otherwise the caller pays. Assume that an honest coin is used, that Mary tosses the coin, and that Donna calls the outcome. Find Mary's expected payback. Is this a fair game?
Mary's expected payback based on the information illustrated is 0.865. This isn't a fair game.
How to calculate the probability?Based on the information, the chances of Donna winning will be 1/2.
It was also stated that each day Donna and Mary toss a coin to see who buys the other person coffee ($1.73 a cup).
Therefore, Mary's expected payback will be:
= (0 × 1/2) + (1.73 × 1/2)
= 0 + 0.865
= 0.865.
Therefore, Mary's expected payback based on the information illustrated is 0.865. This isn't a fair game.
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ILL GIVE BRAINLY AND 10 POINTS PLEASE HURRY
Answer:
The third option.
The others are being multiplied by a negative, which a negative times a negative is a positive, but the third is 3 negatives and 1 positive so it is positive.
Step-by-step explanation:
Hope it helps! =D
13. How many different 3-character codes are there using A, B,
or C for the first character, 8 or 9 for the second character,
and 0 or 1 for the third character?
Answer:
12
Step-by-step explanation:
___ * ___ * ___
At the first one you have 3 choices so
_3_ * ___ * ___
then you have two choices for the second and third code
so 3 * 2 * 2 = 12
HELP FIND THE VALUES
Answer: [tex]j=1, k=2[/tex]
Step-by-step explanation:
[tex]4(x+j)+k(3x-5)=10x-6\\\\4x+4j+3kx-5k=10x-6\\\\x(4+3k)+(4j-5k)=10x-6\\\\\implies 4+3k=10 \implies k=2\\\\\implies 4j-5k=4j-10=-6 \implies j=1[/tex]
The magnitude of an earthquake is related to the relative intensity by which of the following formulas?
magnitude = log(relative intensity)
magnitude = relative intensity
magnitude = 10relative intensity
magnitude = 10 log(relative intensity)
The magnitude of an earthquake is related to the relative intensity by
magnitude = log(relative intensity).
Magnitude is a measure of earthquake size and remains unchanged with distance from the earthquake. Intensity, however, describes the degree of shaking caused by an earthquake at a given place and decreases with distance from the earthquake epicentre.
A better measure of the size of an earthquake is the amount of energy released by the earthquake, which is related to the Richter Scale by the following equation:
Log E = 11.8 + 1.5 M
(where Log refers to the logarithm to the base 10, E is the energy released in ergs and M the Richter magnitude).
Magnitude is determined from measurements on seismographs. Intensity measures the strength of shaking produced by the earthquake at a certain location. Intensity is determined from effects on people, human structures, and the natural environment.
An earthquake's magnitude is inversely proportional to its relative intensity (magnitude = log) (relative intensity)
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i need help with the problem
The sum of -9 + 6 on the number line will be calculated by starting from -9 and counting 6 times to the right. This will be -3.
What is a number line?It should be noted that a number line simply means the straight line which has numbers that are arranged at equal segments or intervals that are along its length in Mathematics. It should be noted that the number line is usually shown horizontally and that it can be extended in any direction.
It should further be noted that the number line simply gives a representation of the graduated straight line which can be used to represent real numbers visually. In this case, every point on the number line simply corresponds to the real number, and every real number simply corresponds to a point.
It should further be noted that counting the numbers to the right indicates addition while to the left indicates subtraction.
In conclusion, the sum of -9 + 6 on the number line will be calculated by starting from -9 and counting 6 times to the right and this gives -3.
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Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $63.00
B. $17.50
C. $68.40
D. $8.20
Answer:
$63
Step-by-step explanation:
Penny = $0,01
Nickel = $0.05
Dime = $0.1
Quarter= $0.25
Number of pennies = 6*50 = 300
Number of nickels = 5*40= 200
Number of dimes = 4*50= 200
Number of quarters = 3*40 = 120
The total amount of money:
300*0.01+ 200*0.05 + 200*0.1 + 120*0.25 = $63
Classify
a-3b+c=4
3a-6b+9c=5
4a-9b+10c = 9
Answer:
a=4+3b-c
a=5+6b-9c/ 3
a=9+9b-10c /4
155,349 for each number, give the whole number that represents the value of the underlined digit.Write your answers in the boxes.
651,907
947,502
317,055
The whole number that represents the value of the underlined digit in each case is as follows:
155,349: 5 = 5,000651,907: 5 = 50,000947,502: 9 = 900,000317,055: 5 = 50.How is the value of a digit within a whole number determined?The value of a digit is the worth of the digit within its number place.
The number place determines the value of an underlined digit.
For instance, the number place values of 5 in the first and second situations are in the thousands and ten thousand place values.
The number place value of 9 in the third situation is in the hundred thousand place values, while the place value of 5 in the last example is in the ten place value.
Thus, the value of an underlined digit depends on its place value, and the place value is a digit's value based on its position.
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Complete Question:For each number, give the whole number that represents the value of the underlined digit.
155,349
651,907
947,502
317,055
Maria has 6 1/4 yards of hair ribbon and she needs 5/8 of a yard to make a fanc
masks for her friends. How many can she make?
Answer:
10 masks
Step-by-step explanation:
divide 6 1/4 yards by 5/8 yards
change 6 1/4 to an improper fraction - 25/4
25/4 ÷ 5/8
to divide fractions, find reciprocal of divisor
25/4 * 8/5
=10
so 10 masks
Would you ate 1/4 of a birthday cake and
your friend ate 1/2 how much of the cake
would be left.
Answer:
1/4
Step-by-step explanation:
Convert fractions to decimals
[tex]1-0.25-1/2\\1-0.25-0.5\\[/tex]
Add/Subtract
[tex]1-0.25-0.5\\= 0.75-0.5\\= 0.25\\= \frac{1}{4}[/tex]
What is BC?
…………………..
Step-by-step explanation:
I will assume that DC is 16,
16 x 2= 32
please help me i’ll give you brain list
Answer:
i) -2.5
ii) 3/4 - 0.250
iii) 0.282
iv) 85% - 0.850
v) [tex]\sqrt{3\\[/tex] - 1.7320
What is the answer to this problem?
Answer:
2
Step-by-step explanation:
PRT = I = 2700
P = 27,000
R = 0.05
Find T
2700 = 27000 x 0.05 x T
T = 2700/ ( 27000 × 0.05 ) = 2 years
Which expression shows you how you can use mental math to simplify the expression
9.15. 2 most easily?
The expression can use mental math to simplify the expression
9.15. 2 most easily is (15×2)×9.
Expression:
A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Possible expressions for the given question:
1) (15×9)×2
2)(15×2)×9
3)(2×9)×15
1⇒ Becomes complicated because of multiplication of 15 and 9
2⇒ Becomes easy because of (15×2) and then multiplication with 9
3⇒ Becomes complicated because of multiplication of 15 and (2×9)
Therefore,The expression can use mental math to simplify the expression 9.15. 2 most easily is (15×2)×9.
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Paulette had two books. One of the books weighed 7/8 pound and the other book weighed 2/3 pound. If both books were put on the scale, how much will they weigh together?
A.9/11 pound
B. 37/24= 1 13/24
C. 31/24 = 1 7/24
D. 31/12= 2 7/12
The weight of both books when put on the scale together is [tex]\frac{37}{24}=1\frac{13}{24}[/tex].
The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.
Let the weight of the two books Paulette had be x and y.
The weight of one of the books is x = 7/8 pounds.
The weight of the other book is y = 2/3 pound.
If the books are put on the scale then the total weight of the books will be:
[tex]x+y=\frac{7}{8}+\frac{2}{3}[/tex]
The least common multiple or LCM of 8 and 3 is 24.
[tex]x+y=\frac{21+16}{24}[/tex]
[tex]x+y=\frac{37}{24}[/tex]
The correct option is (B) [tex]\frac{37}{24}=1\frac{13}{24}[/tex].
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the coordinates for triangle klm are given in the table.Eric plans to translate the triangle 9 units right and 9 units down.
Using translation concepts, the rule for each vertex of the triangle after the translation 9 units right and 9 units down is given by:
(x,y) -> (x + 9, y - 9).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the transformations on the triangle are given as follows:
9 units right, hence x -> x + 9.9 units down, hence y -> y - 9.Thus the rule for each vertex of the triangle after the translation 9 units right and 9 units down is given by:
(x,y) -> (x + 9, y - 9).
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On the probability scale below, which cross (X) shows the probability that the spinner will land on Yellow?
The number of the cross should be your answer. No spam, please.
Answer:
A) 0.
Step-by-step explanation:
There is no yellow on the plane, therefore, the probability that the spinner would land on a nonexistent part of the plane is 0.
solve for y. a=9y+3yx
Given the system of constraints, name all vertices. Then find the maximum value of the given objective.
The maximum value of the objective C = 5x -4y over given constraints is
What is system of constraints?In any optimization problem, when we need to either maximize or minimize some objective function for that we are given some limitations or logical conditions which the objective function needs to satisfy in order to maximize or minimize.
These constraints are in the form of equalities or inequalities, where a feasible region satisfying all these equalities or inequalities is first found and then we maximize/minimize our objective on the boundary points of this feasible region.
Given problem is:
Maximize Objective function C = 5x-4y
When system of constraints are (i) x≥0 , (ii) y≥0 , (iii) 4 ≤y+ x
(iv) y ≤ (1/5)x +1
We will graph this system of constraints to find the feasible area.
x≥0,y≥0 represents that feasible area is in the 1st quadrant
For 4 ≤ x + y, we will use corresponding x+ y = 4 equality
When x= 0 then y=4 and when y=0 then x=4 , then y+ x = 4 is a line passing through (0,4) and (4,0)
When be substitute (0,0) in 4 ≤ x + y we get 4 ≤0 which is a false statement .
Therefore,4 ≤y + x is the region starting with line x+ y = 4 and area above this line in opposite direction of origin.
For y ≤ (1/5)x +1, we will use y = (1/5)x +1, put x= 0 we get y=1 and put y=0 then x= -5 , then y= (1/5)x +1 is a line passing through (0,1) and (-5,0)
And on substituting (0,0) in y ≤ (1/3)x +1 we get 0 ≤ 1 which is a true statement .
Therefore, y ≤ (1/5)x +1 is region including the line y = (1/5)x +1 and area on the side of this line that is towards origin
The feasible region is shown in the attached picture with the boundary points of the shaded area.
ABC is the shaded area is feasible area, where A= (0,4) ,B= (2.5, 1.5 ), C= (0,1)
Z at A : 5(0) -4 (4) =-16
Z at B : 5(2.5) -4(1.5) =6.5
Z at C : 5(0) -4(1) = -4
Clearly, maximum value of z in feasible area is Z= 6.5 at point (2.5, 1.5)
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