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VladimirAG [237]

2 years ago

7

There are many campers at Camp Lots of Fun. This morning, 4 kids went home sick. Of the remaining campers, 18 kids went hiking a

nd the other 41 kids spent the day swimming. How many kids started the day at Camp Lots of Fun?

1 answer:

erastovalidia [21]2 years ago

8 0

Answer:

63

Step-by-step explanation:

You would add 41 + 18 + 4, which obviously gets you 63. Hope this helped!

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The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular plate (in decimals) whose width is 228 c

scoray [572]

The Solution.

Representing the problem in a diagram, we have

By formula,

$P=2(L+W)$

In this case,

$P=15\operatorname{cm},L=?,W=\frac{22}{8}cm$

Substituting these values in the formula above, we get

$15=2(L+\frac{22}{8})$

Clearing the bracket, we get

$15=2L+(2\times\frac{22}{8})$ $\begin{gathered} 15=2L+\frac{11}{2} \\ \\ 15=2L+5.5 \end{gathered}$ $\begin{gathered} 15-5.5=2L \\ 9.5=2L \end{gathered}$

Dividing both sides by 2, we get

$L=\frac{9.5}{2}=4.75\approx4.8\operatorname{cm}$

Therefore, the correct answer is option C.

6 0

5 months ago

Secants L J and L M intersect and form an angle at point L. Solve for x.

german

Answer:

x = 14

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

$\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}$

Check:

$\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}$

It checks.

6 0

3 years ago

Which choice is equivalent to the product below?

Crank

Answer:

2√21

Step-by-step explanation:

1) Simplify.

√84

2) Simplify √84 to 2√21.

2√21

8 0

1 year ago

Over the last three evenings, Diane received a total of 105 phone calls at the call center. The third evening, she received 4 ti

sergij07 [2.7K]

Answer:

Make an eqaution from here.
Let’s make evening 2 “x”

So the first evening has 9 less then the secon evening so…
x-9
Of course theres the second evening (x).

X-9+x
Then the third evening has 4 times as much as the second meeting so…
x-9+x+4x

And when solved, it has to equal 105.

So solve from here.
Combine like terms.

6x-9=105
Isolate

6x=114
x= 19

First evening is 9 less then 19, so 10.

The second evening was 19 calls.
The third evening was 4 times the second evening so, 19*4= 76

1st night = 10

2nd night= 19 calls
Thrid night= 76 calls

8 0

2 years ago

Starts with z and cube it

OlgaM077 [116]

Cubed means you have to multiply it by the other number like an exponent so that means the answer is z3

8 0

2 years ago