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valkas [14]
3 years ago
15

there are 5 times as many yellow labs as terriers in the dog park. if there are a total of 18 dogs, how many are terriers

Mathematics
1 answer:
Goryan [66]3 years ago
7 0
5x+x=18
x=3 
5 times 3 is 15.
15 plus 3 is 18.
:)
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What non-zero rational number must be placed in the square so that the simplified product of these two binomials is a binomial:
aleksandrvk [35]

The product would expand to

(7t-10)(5t+x)=35t^2+7tx-50t-10x=35t^2+(7x-50)t-10x

This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable x.

So, we can cancel either the linear term or the constant term.

In the first case, we require

7x-50=0 \iff 7x=50 \iff x=\dfrac{50}{7}=\dfrac{49}{7}+\dfrac{1}{7}=7\dfrac{1}{7}

In the second case, we require

-10x=0\iff 10x=0 \iff x=0

But x must be a non-zero rational number, so this solution is not feasible.

7 0
3 years ago
Read 2 more answers
A contest on a game show receives -25 points for each wrong answer what integer represents the change in periods after three wro
Paladinen [302]
To represent the change in points, you can think of it in two ways:

1.  You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening.  They are all negative, so you keeping moving down in value.  

2.  You can also think of this as 3 groups of -25. 

Both answers are -75.  The answer is negative because the change was down in points.

-75 is the integer that represents this situation.
7 0
3 years ago
A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d
Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.


Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

V=\dfrac{1}{3}b\times h,

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.

Therefore, the volume of the pyramid is

V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.

Thus, the required volume is V=324~\textup{cm}^3. This makes (C) as the correct option.



5 0
3 years ago
If a-b/b = 3/7 What is b/a​
Basile [38]

Answer:

7/10

Step-by-step explanation:

Solve for  a  by simplifying both sides of the equation, then isolating the variable.

Glad I could help!

6 0
3 years ago
Can you help please?<br><br>​
Vilka [71]
In 2 hours,hope this helps :)
7 0
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