Given :
A morning truck can carry no more than 1480 pounds of cargo.
Brian loaded 640 pounds into the truck already.
He is loading boxes that weigh 70 pounds.
To Find :
How many boxes can he out into the truck.
Solution :
Weight left for carrying cargo, W = 4180 - 640 pounds
W = 3540 pounds
Number of boxes of 70 pounds cargo he can carry in truck is :
[tex]n =\dfrac{3540}{70}\\\\n = 50.57[/tex] ≈ 50 .
Therefore, number of box they can carry is 50.
Hence, this is the required solution.
Consider this right triangle. R 9 55° Q P Enter the length of RQ, to the nearest tenth.
Answer:
RQ = 7.4
Step-by-step explanation:
From the right triangle PQR,
m∠Q = 90°
m∠P = 55°
Hypotenuse PR = 9
By applying sine rule in the given triangle,
Sin(55°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
0.819152 = [tex]\frac{\text{RQ}}{\text{PR}}[/tex]
0.819152 = [tex]\frac{RQ}{9}[/tex]
RQ = 9×0.819152
RQ = 7.37
≈ 7.4
how many solutions to that problem
Answer:
NO solution
this is absolute value meaning whatever is in the signs l l will come out to a positive. THis cant posibly equal a negative
Step-by-step explanation:
Express 144 1/4 in simplest radical form
If x is a positive integer,
give possible values of x
for inequality
5 > 2x – 3
9514 1404 393
Answer:
{1, 2, 3}
Step-by-step explanation:
Here's the solution to the inequality:
5 > 2x -3
8 > 2x . . . . . add 3
4 > x . . . . . . divide by 2
Positive integers less than 4 are ...
{1, 2, 3} . . . possible values of x
whats the slope of the line y-9=15 x-5
Answer:
Slope= 15
Hope this helps! :)
Hi. I need help with these questions.
See image for question.
Answer 15
Step-by-step explanation:
YOU JUST FOLLOW THE STEP
Answer:
x = 1/5Step-by-step explanation:
GivenParabola y = 5x² -2x + 3To findThe equation of the line of symmetrySolutionThe line of symmetry passes through the vertex of the parabola
The vertex is determined by the formula:
x = -b/2aWhere b and a are constants from the standard form of ax² + bx + c = 0Substituting values from the given equation:
x = -(-2)/2(5) = 1/5x = 1/5 is the line of symmetry30 treadmills to 36 elliptical machines ratio simplest form
Answer:
5 to 6 or 5:6 or 5/6
Step-by-step explanation:
30/36 = 15/18 = 5/6
Answer:
5 treadmills to 6elliptical machines
Step-by-step explanation:
Date
0.5
/
Ration
Question
The boiling point of jet fuel is 329°F.
Rounded to the nearest degree, what is
the temperature in degrees Celsius?
Use the formula C = (F – 32), where
C represents degrees Celsius and F
represents degrees Fahrenheit.
Answer:
Boiling point of jet fuel = 165 degrees Celsius
Step-by-step explanation:
Given:
Boiling point of jet fuel = 329°F
Find:
Boiling point of jet fuel in degrees Celsius
Computation:
C = [5/9][F – 32]
C = [5/9][329 – 32]
C = 165
Boiling point of jet fuel = 165 degrees Celsius
Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 percent of the 50 students planned to attend. Kendra’s work is shown below.
Answer:
KENDRA SHOULD DIVIDE IT BY 2
Step-by-step explanation:
Answer:
The correct answer is B.
Step-by-step explanation:
Hope it helps
just did quiz (┬┬﹏┬┬)
Circle the ratio which is the same as 1 cm represents 2m
1:2
1:20
1:200
1:2000
Answer:
1 cm: 200 cm (if they don't give units) (most likely this answer) (1:200)
if the units are centimeter and meter though, then it's
1:2
Step-by-step explanation:
there are 100 cm in 1 meter, so 1cm:2m
is actually 1cm : 200cm
Can someone help me please my grades close today?
Step-by-step explanation:
1.m<U=54
3.m<F=72
5.x=7
Is this a function?
[tex]y= -3x^{2} +10[/tex]
what's the slope of
(4,5) & (-1,-5)
helppppp
Answer:
the slope is 2 :)
Step-by-step explanation:
Answer:
it's 2
Step-by-step explanation:
What is 40% of 5?
i need help
Answer:
2
Step-by-step explanation:
A football team has a squad of 24 players,
1/12 of their squad are suspended, some of the squad are injured, and this leaves only 14 players to choose a team from,
What fraction of the squad are injured?
Answer:
1/3.
Step-by-step explanation
1/12 * 24 = 2 players suspended leaving 22 players.
So the number injured = 22 - 14 = 8.
Fraction injured = 8/24 = 1/3.
It costs $3.75 for 25 oz. of candy or $6.30 for 90 oz. of candy. Which is
a better buy?*
O 25 oz.
O 90 oz.
Answer:
90 OZ.
Step-by-step explanation:
You have to divide the ounces by the price to see how much $1 per ounce costs.
25 divided by 3.75 = 6.6 Ounces for $1
90 divided by 6.30 = 14.28 ounces for $1
Kristin wants to make 12 ml of an 8% alcohol solution by mixing together a 32% alcohol solution and pure water. How much of each solution must she use? Please put how many ml for the solutions.
Answer:
To obtain a solution of 12 ml of 8% alcohol, 3 ml of 32% alcohol and 9 ml of water should be used.
Step-by-step explanation:
To determine the amount of 32% alcohol and pure water needed to make a 12 ml 8% alcohol solution, the following calculation is necessary:
If in 12 ml it is sought that 8% of the solution is alcohol, this percentage implies a presence of 0.96 ml of alcohol in the solution.
Now, 12 ml of 32% alcohol has 3.84 ml of alcohol in it, which must be lowered with water to access that amount.
Therefore, since 32/8 is equal to 4, a quarter of the solution composed of 32% alcohol must be placed, while the remaining three-quarters must be pure water.
In conclusion, to obtain a solution of 12 ml of 8% alcohol, 3 ml of 32% alcohol and 9 ml of water should be used.
f(x)=(x-3) ²+5 determine the vertex
Answer:
The vertex is (3,5)
Step-by-step explanation:
Brainliest please
i need the answer asap please hurry i give you 5 stars
Explain in detail how would you plot the points –1, 5, –2.5, –3, and 2 on the number line. What is the order of the numbers?
= Find the slope of a line that goes through the (-3,2) and (1,5)
PLz helpp Im confused on this
Answer:
-2/3 (fraction)
Step-by-step explanation:
Answer:
The slope is [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{5-2}{1+3}=\frac{3}{4}[/tex]
Hope this helps.
Solve
28 - K _> 7(K - 4)
Answer:
Solving the inequality [tex]28-K\geq 7(K-4)[/tex], we get [tex]\mathbf{K\leq 7}[/tex]
Step-by-step explanation:
We need to solve the inequality [tex]28-K\geq 7(K-4)[/tex]
Using the BODMAS rule, first we will solve the bracket:
[tex]28-K\geq 7(K-4)\\28-K\geq 7K-28[/tex]
Now, we will subtract 28 from both sides
[tex]28-K-28\geq 7K-28-28\\-K\geq 7K-56[/tex]
Subtracting -7k on both sides
[tex]-K-7K\geq 7K-56-7K\\-8k\geq -56[/tex]
Finally, divide both sides by -8 and inverse the inequality, as we are dividing with a minus digit.
[tex]\frac{-8K}{-8}\leq \frac{-56}{-8}\\K\leq 7[/tex]
So, solving the inequality [tex]28-K\geq 7(K-4)[/tex] we get [tex]\mathbf{K\leq 7}[/tex]
heeeeeeeeeeeeeeeeeeeeeelp
Answer:
-2
Step-by-step explanation:
Express log(2)A in terms of the 2 logarithms of prime numbers:
A= √3 * (4th root)(125)) / 7^3
Answer:
3
√
125
=
3
√
5
3
=
5
Step-by-step explanation:
Answer:
1/4 log2 1125 - 3 log2 7Step-by-step explanation:
A= √3 * (4th root)(125)) / 7^3 =(4th root) (9*125) / 7^3 =(4th root) (1125) / 7^3Finding logarithm
log2 A = log2 (4th root) (9*125) / 7^3 = 1/4 log2 1125 - 3 log2 7A gym is selling monthly memberships for $35 each and reusable water bottles for $9 each. The gym
needs to make $1188 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1188, where m is the number of
monthly memberships sold, and w is the number of reusable water bottles sold.
Answer:
x = gym memberships, and y = bottles of water
30x + 7y = 1050.....when x = 28
30(28) + 7y = 1050
840 + 7y = 1050
7y = 1050 - 840
7y = 210
y = 210/7
y = 30....so he would have to sell 30 water bottles
Step-by-step explanation:
Answer:
1188=35m+9w
Step-by-step explanation:
Help me!!!! with this please
Answer:
x= 58+46-180
z=x
y=z+13-180
Select the equation which represents the graph.
Question 1 options:
A: y − 3 = 3/2(x − 4)
B: y − 3 = 2/3(x − 4)
C: y − 3 =− 2/3(x − 4)
D: y − 3 = −3/2(x − 4)
Answer:
B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]
Step-by-step explanation:
We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.
Let's find slope using the two points (4, 3) and (-2, -1).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]
Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].
The equation that represents the graph would be:
✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],
The area width is 9ft the total is 27ft
Answer:
3ft
Step-by-step explanation:
because 9 times 3 equal 27
ASAP There are 25 female performers in a dance recital. The ratio of men to women is 3:5. How many men are in the dance recital?
Answer:
15
Step-by-step explanation:
En un juego se tiene una ficha, donde un lado dice ganar y otro dice perder. Si se ha lanzado 3 veces la ficha y en todos a salido el lado que dice ganar. ¿Cuál es la probabilidad de que en el cuarto lanzamiento también salga el lado que dice ganar?
Answer:
no existe una probabilidad ya que es un juego de azar pero si queres la cuarta victoria deberias calcular muchas cosas como el angulo para tirar la ficha y calcular la fuerza etc
Step-by-step explanation:
Determine if the triangles are congruent. If so, write a congruence statement. Explain
your reasoning in a short paragraph proof.
Answer: Yes, there are congruent.
Step-by-step explanation: A triangle is congruent if the same shape and size. In this figure, they're congruent.
I hope this helps you!