Answer:
The answer is
Speed of the boat in still water= 12mph
Speed of current= 9mph
Step-by-step explanation:
let x= speed of the boat in still water
let y= speed of current
DATA WE HAVE
with current
rate- x+y
time- 6 hours
distance- 126 miles
rate= 126/6= 21
against current
rate- x-y
time- 42hr
distance- 126 miles
126/42= 3
Now, we add these two equations vertically.
x-y=3
+
x+y=21
2x = 24
Now we divide each side by 2
2x/2 24/2
x= 12
The speed of the boat in still water is 12mph
NOW WE HAVE HALF OF THE ANSWER
if x+y= 21
then
12+y=21
subtract 12 from both sides
y=9
The speed of the current is 9mph
Checking)
12+9=?21
21=21
12-9=?3
3=3
I hope this helped! If you have any questions, dm me on insta celinesaydawi
The speed of the boat in still water is 6 mph, and the speed of the current is 4.5 mph.
Given that a boat traveled 126 miles downstream and back, and the trip downstream took 6 hours, while the trip back took 42 hours, to determine what is the speed of the boat in still water and what is the speed of the current, the following calculations must be performed:
(126/2) / 6 = 10.5 mph downstream (126/2) / 42 = 1.5 mph against current (10.5 - 1.5) / 2 = 4.5 mph (current speed) 10.5 - 4.5 = 6 1.5 + 4.5 = 6 6 mph = speed of the boat in still water
Therefore, the speed of the boat in still water is 6 mph, and the speed of the current is 4.5 mph.
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Exit Ticket 12/01
1 of 1
POSSIBLE POINTS: 100
Last week, Mrs. Grant purchased a 3-pound package of strawberries for $6.84. This week she paid $10.24 for a 4-pound package of strawberries
What was the difference in the unit cost per pound that Mrs. Grant paid this week compared to last week?
Answer: $0.28
Step-by-step explanation: Pic is attached. Hope this helps. Sorry for the bad handwriting, I'm writing with a mouse.
Riddle, do not google
What can you hold in your right hand, but never in your left hand?
Answer:
Your left hand: is your answer
Answer:
your left hand omg if i got this than pleas give me branlyist
Jack bought 15 chicken wings for $5. What was the cost of the wings in dollars per
wing?
Answer:
Step-by-step explanation:
0.33$
Which expression is equivalent to -6 - ( -2 )
PLEASE HELP MEEE
Answer:
-6 +2 = -4
Step-by-step explanation:
Its simple. Whenever you see two negative signs next to each other, they merge into an addition sign "positive".
-6+2 = -4
pls pls help asap pls
Answer:
Step-by-step explanation:
3y+7=2x
3y=2x-7
y=(2/3)x-7/3
when parallel, the y=ax+b, the a keeps the same
so it‘s y=(2/3)x-a
and it pass (2,6), so 6=(2/3)*2 -a
6=4/3-a
-a=(18-4)/3
-a=14/3
a=-14/3
Answer:
ok. me ayush where we meet
What is the difference of (-3.4x + 4.7) - (3 + 2.9x)?
A. -0.5x + 1.7
B. -6.3x - 1.7
C. -0.5x - 1.7
D. -6.3x + 1.7
Answer:
-6.3x +1.7
Step-by-step explanation:
(-3.4x +4.7) - (3+2.9x)
= - 3.4x - 2.9x +4.7 - 3
= - 6.3x + 1.7
Answer:
d
Step-by-step explanation:
Question 8
In the figure below, the area of Square 1 is 169 cm2 and the perimeter of Square 2 is 48 cm. What is the area of Square 3?
Answer:
I’m pretty sure it’s 23
Step-by-step explanation:
Answer:
I THINK it's 15
Step-by-step explanation:
Diamond used a number line to add. She started counting at 8, and then she counted until she was on -5 on the number line. If Diamond is modeling addition, what number did she add to 8 in order to get to -5
Answer:
-13
Step-by-step explanation:
If Diamond was using addition, then the only number that can be added to 8 in order to get -5 would be -13. This is because 13 is 5 more than 8. Therefore, a negative 13 (-13) added to 8 would mean that you would have to move to the left of the number line 13 places which would cause you to pass 0 by a total of 5 spaces to the left, leaving you at -5
Stella sold five items at a
garage sale for $12.50, $2.75,
$0.50, $20.00, and $8.50.
How much money did she
make? Plz help
Answer:
$44.25
Step-by-step explanation:
12.5 + 2.75 + .5 + 20 + 8.5 =44.5
2.75 + .5 = 3.25
20 + 12.5 + 32.5
3.25 + 32.5 + 8.5 = 44.25
A pizza restaurant charges for pizza and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) delivered to a home is described by the function c=8p+3. Which statement is true?
Answer:
Step-by-step explanation:'
The statement were not provided, however, we can deduce the statements from the given equation.
step one:
given
we are told that the cost is expressed as
[tex]c=8p+3[/tex]
where c=cost
p= the number of pizzas delivered
this expression for this condition is the same as the equation of line
y=mx+c
Hence we can deduce the following statements.
the term "8" represents the cost to deliver one pizza
"3" represents the fixed cost to deliver pizza, that is the delivery fee
List the factors of the number.
6
and
The factors of 6, from least to greatest, are
Answer:
1,6 2,3 1,2,3,6
Step-by-step explanation:
Answer:
2and 3
Step-by-step explanation:
because 2 and 3 are the only factors that can get you an answer of 6
Complete the point-slope equation of the line through (-1,-10) and (5,2) y-2=
Choose all pairs of points that are reflections of each other across both axes. A. (–412, 1) and (–1, 412) B. (2.5, –1) and (–212, 1) C. (4.2, –1) and (2.4, –1) D. (1, –2.25) and (–1, 214) E. (–2, 213) and (2, 213)
Answer:
The correct option is;
(-2, 213) and (2, -213)
Step-by-step explanation:
The reflection of a point across the x-axis is given as follows;
The coordinates of the point of the pre-image = (x, y)
The coordinates of the point of the image after reflection = (x, -y)
The reflection of a point across the y-axis is given as follows;
The coordinates of the point of the pre-image = (x, y)
The coordinates of the point of the image after reflection = (-x, y)
Therefore, from the given points, The reflection across the y-axis of the point (-2, 213) is (2, 213) and the reflection across the x-axis of the point (2, 213) is (2, -213)
19 x 50= _____ fifties
Answer:
950
Step-by-step explanation:
19 ×5
then add the zero
list them from least to greatest, -45, 3.5, -6, 0, 23
Answer:
-45, -6, 0, 3.5, 23
Step-by-step explanation:
Negatives then positives.
Answer:
-45, -6, 0, 3.5, 23
Step-by-step explanation:
Please answer!! Will mark Brainliest!!
Answer:
Is it a multiple choice question
Step-by-step explanation:
Simplify to an equivalent exponential expression. Use 2 as the base.
24.25
24 • 25 =
(Type your answer using exponential notation. Simplify your answer.)
HELP ASAP PLEASE
Answer:
The equivalent exponential expression using 2 as
a base will be:
[tex]2^4\cdot \:\:2^5=2^9[/tex]Step-by-step explanation:
Given the expression
[tex]2^4\cdot \:2^5[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
so the expression becomes
[tex]2^4\cdot \:2^5=2^{4+5}[/tex]
[tex]=2^9[/tex]
Therefore, the equivalent exponential expression using 2 as
a base will be:
[tex]2^4\cdot \:\:2^5=2^9[/tex]square root of 90 to the nearest integer
Answer:
9
Step-by-step explanation:
since 9.48683298051 is the square root of 90 and has a 4 in the tenths number and since 4 isnt bigger than 5 i would say it rounds to 9
Answer:
9
Step-by-step explanation:
[tex]\sqrt{90} \\As\ 90\ is\ closer\ to\ 81\ more\ than\ 100,\ its\ square\ root\ is\ closer\ to\ 9\ than\ 10.\\Hence,\\9\\[/tex]
Or you can directly perform long division to obtain 9.487 as the result. 9.487 is closer to 9 than 10. Hence, 9
1.1 repeating decimal as a simplified fraction
Answer:
11/10 i think... may be wrong
Step-by-step explanation:
Answer:
10/9 is the answer.
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
y=
[tex]\huge\boxed{y=-\frac{4}{3}}[/tex]
To find the equation for a line in slope-intercept form, we need to find the slope and the y-intercept.
The y-intercept is easy to find. It's just the value of [tex]x[/tex] when [tex]y=0[/tex]. In this case, the y-intercept is [tex]0[/tex] since the line goes through the origin.
To find the slope, we use the slope formula, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two known points. In this case, we'll use the only two points we have: [tex](0, 0)[/tex] and [tex](-3, 4)[/tex]
[tex]\begin{aligned}m&=\frac{y_2-y_1}{x_2-x_1}\\&=\frac{4-0}{-3-0}\\&=\frac{4}{-3}\\&=-\frac{4}{3}\end{aligned}[/tex]
Finally, we put it all together in slope-intercept form, where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
[tex]y=mx+b\\y=-\dfrac{4}{3}x+0\\\boxed{y=-\frac{4}{3}}[/tex]
complete the function table for the given domain and plot the points on the graph. f(x)=2^x-7
Answer:
Step-by-step explanation:
What is the radius of a
cylinder with a
diameter of 18 cm?
The radius of the cylinder with a diameter of 18 cm is 9 cm.
RadiusThe distance between the center of a circular body and the circumference of the circular body is known as Radius.
How to determine the radius of the circle?The diameter of the base of the cylinder is 18 cm.
The radius of the circular base is equal to half of the diameter of the circular base.
So,
[tex]R=\dfrac{D}{2}\\=9\text{ cm}[/tex]
Thus, the radius of the base of the cylinder with a diameter of 18 cm is 9 cm.
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A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag? Explain your reasoning.
Answer:
126
Step-by-step explanation:
21 + 4 = 25 (blue plus white marbles)
150/25 = 6 (all the marbles divided by how many we know are white and blue)
21 x 6 = 126
Express as an integer. A gain of 56 points in a game.
Answer:
A gain of 56 points in a game: +56
Answer:
+56 or Positive 56
Step-by-step explanation:
Find the value of x.
19x - 36
6x + 31
Answer:
X= 5
Step-by-step explanation:
The value of x in the equation 19x - 36 and 6x + 31 are 36 / 19 and -31 / 6 respectively.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
19x - 36 = 0
6x + 31 = 0
Solve the above equation by using the transformed as shown below,
19x - 36 = 0
19x = 36
x = 36 / 19
x = 1.895
For the second one, do the same as shown below,
6x + 31 = 0
6x = -31
x = -31 / 6
x = -5.167
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Julián invito a sus amigos a comer una pizza. Él comió 2/8 del total. Juan comió el doble que Julián y mica comió la mitad de lo que comió juan. a- ¿Cuántas porciones tenía la pizza? b- ¿Cuántas comió Julián? c- ¿Cuántas comió juan? d- ¿y Mica? e- ¿Cuántas porciones sobraron? f- Demuestra con un gráfico tus respuestas.
Answer:
a) La pizza tenía 8 porciones.
b) Julián comió 2 porciones.
c) Juan comió 4 porciones.
d) Mica comió 2 porciones.
e) No sobraron porciones.
f) Véase la imagen adjunta para mayor detalle.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:
[tex]x+y+z=1[/tex] (1)
(i) Julián comió 2/8 del total:
[tex]x = \frac{2}{8}[/tex] (2)
(ii) Juan comió el doble que Julián:
[tex]z = 2\cdot x[/tex] (3)
(iii) Mica comió la mitad de lo que comió Juan:
[tex]y = \frac{1}{2}\cdot z[/tex] (4)
Al aplicar (2) en (3), tenemos que Juan comió:
[tex]z = \frac{4}{8}[/tex]
Y ahora se aplica el resultado anterior a (4):
[tex]y = \frac{1}{2}\cdot \frac{4}{8}[/tex]
[tex]y = \frac{2}{8}[/tex]
a) El total de porciones queda representado en el denominador de las fracciones calculadas. Por tanto, la pizza tenía 8 porciones.
b) El número de porciones consumido por cada persona está representada por el numerador de las fracciones calculadas. Por tanto, Julián comió 2 porciones.
c) Juan comió 4 porciones.
d) Mica comió 2 porciones.
e) No sobraron porciones en tanto que la suma de porciones consumidas de las tres personas es igual al valor del denominador.
f) A continuación, anexamos el gráfico correspondiente que sustenta todos los cálculos matemáticos hechos en puntos anteriores.
Please help! I’ll give brainliest to whoever answers first :)
Answer:
Step-by-step explanation:
a triangles angles add up to 180
subtract 102 from 180
180-102
that’s 78
a and b are equal so divide 78 by 2 to get 39
a and b are both 39
Answer:
A= 39 B= 39
Step-by-step explanation:
A triangle = 180 degrees
subract the 102 from 180 to get 78
the tqo angles are equal because of the dashes which means you can divide 78 by 2 to get the answer.
Shauna is making accessories for the soccer team. She uses 843.81 inches of fabric on headbands for 29 players and 4 coaches. She also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
the 25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player
Step-by-step explanation:
The computation of the fabric used on a headband and wristband for each player is as follows:
For headband
= 843.81 inches ÷ (29 players + 4 coaches)
= 843.81 inches ÷ 33
= 25.57 inches
And, for the wristband, it would be
= 279.56 inches ÷ 29 players
= 9.64 inches
Hence, the 25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player
your friend is choosing between two music download companies. MyTunes charges $2.50 per song. Great Songs charges $1.50 per song and has a one-time membership fee of $50. When will Great Songs be the better deal?
Answer:
After 100 songs
Step-by-step explanation:
2.50x=1.50x+50
.50x=50
÷.50
X=100
Great Songs will be the better deal after 100 songs.
What are mathematical operations?Mathematical operations can also be defined by using built-in functions to subtract, divide, and multiply. The arithmetic operator is the one who conducts the arithmetic operation.
* Multiplication procedure: Values on both sides of the operator are multiplied.
For instance, 7×2 = 14
/ Division: Divides the left operand by the right operand
For instance, 4/2 = 2
MyTunes imposes a fee of $2.50 per song. Great Songs charges $1.50 for each song and includes a $50 one-time membership fee, as stated in the question.
Let the songs that come after Great Songs would be x, the better the deal.
⇒ 2.50x = 1.50x + 50
⇒ 0.50x = 50
Divided by 0.50 into both sides of the equation,
⇒ x = 100
Therefore, Great Songs will be the better deal after 100 songs.
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Determine if it’s a function or not
Answer:
C is not a function but D is
Step-by-step explanation:
For one input, you can only have one output for this to be a function. For table C, the input of 4 has 4 different outputs, so it cannot be a function.
D is a function however, because each input has only one output, even if the output is the same number.