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2 years ago

The ratio of blue crayons to red crayons in a classroom is 32:28. The classroom has 16 blue crayons.

Mathematics

2 answers:

AnnyKZ [126]2 years ago

5 0

32/28=16/x
32x= 448
x=14
There are 14 red crayons in classroom

Ivan2 years ago

4 0

Answer:

14 red crayons

Step-by-step explanation:

since we already know the ratios of the crayons we are going to use ratio and proportion to solve our question B:R is 32:28 and they are directly proportional meaning we can scale the quantities by multiplying.32:28 and 16:R , r is the unknown quantity ,then we cross multiply the 2 ratios to get 32R= 448, then we divide by32 both sides so we can remain with the value of R which is 14

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A cruise ship is traveling south going approximately 22 mph when it hits the Gulf Stream flowing east at 4 mph. Which expression

alexira [117]

<h2>Hello!</h2>

The answer is:

The correct option is

a) $Resultant=\sqrt{22^{2} +4^{2} }$

Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:

$c=\sqrt{a^{2}+b^{2}}$

Where,

c, is the hypothenuse.

a, is one triangle leg.

b, is the other triangle leg.

So, we are given the information:

$a=22mph$

$b=4mph$

So, calculating the resultant force (hypothenuse), we have:

$Resultant=\sqrt{22^{2} +4^{2} }$

Hence, the expression that would find the result velocity is:

a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]

Have a nice day!

4 0

3 years ago

which expression shows the result of applying the distributive property to 12 (5y + 4) ? A. 60y + 48 B. 5y + 48 C. 17y + 16 D. 6

PSYCHO15rus [73]

A because you just distribute the 12 to both

7 0

3 years ago

Read 2 more answers

Find the x- and y-intercepts of the graph of 10x+2y=20 State each answer as an integer or an improper fraction in simplest form.

Deffense [45]

Answer:

Slope: $\frac{10.000}{2.000} = -5.000$
x - intercept: $\frac{10}{5} = 2$ .
y intercept: $\frac{10}{1} = 10.00000$ .

Step-by-step explanation:

<u>Simplify:</u>

Simplify the equation by subtracting what is to the right of the equal sign from both sides of the equation:
10*x+2*y-(20)=0.

Pull out like factors:
10x + 2y - 20 = 2 * (5x + y - 10)

Equations which are never true:
Solve:
2 = 0
This can't be solved.
A non-zero constant never equals 0.
Equation of a straight line:
Solve: 5x+y-10 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula:

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+y-10 = 0 and calculate its properties
Calculate the y-intercept:
Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
y-intercept = 10/1 = 10.00000

Calculate the x-intercept:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 10.000 = -10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -10.000/2.000 = -5.000

<u>Answers:</u>