Estimate the unit rate $74.75 of gloss white paint that is 5 gal.

Answers

Answer 1

Answer: $15 for every 1 galloon of paint. estimated.

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.

Answers

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = $\sqrt{(KP)^(2)+(KQ)^(2)-2(KP)(KQ)cos(K)}$

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = $\sqrt{(12)^(2)+(12)^(2)-2(12)(12)cos(110)}$

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

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Three times the difference of a number and 5 is the same as 1 increased by five times the number plus twice the number

Answers

3(x-5)=1+(5x+2x)
3x-15=1+7x
-15=1+7x-3x
-15=1+4x
-15-1=1+4x-1
-16=4x
-16/4=4x/4
-4=x

Hey there!!

Let's take the number as ' x '

Three times the difference of a number and 5 :

Difference of a number and 5 : x - 5

Three times : 3 ( x - 5 )

This is same as :

1 increased by 5 times the number plus twice the number :

5 times a number : 5x

2 times number a number : 2x

Added : 7x

1 plus the sum : 1 + 7x

Now,

The equation :

$3 ( x - 5 ) = 1 + 7x$

$3x - 15 = 1 + 7x$

$4x = -16$

$x = (-16)/(4)$

$x = -4$

Hence, the number is -4

Hope my answer helps!

What is 20 + 20.
please help me and fast thanks

Answers

40 is the answer. hope this helps

40 is the correct answer

Hettie is stacking paper cups.Each stack of 15 cups is 6 in high.What is the total height of 10 stacks of cups?

Answers

Find the unit rate by dividing 15 by 6, then multiplying that by 10... Just like a proportion... it would be 25

5 paper cups long because i study it.

Use the graph to determine the input value forwhich f(x) = g(x) is true.
Ox=0.5
x = 1
OX= 1.5
Ox=2

Answers

The input value for which f(x) = g(x) is true is x= 1.5.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

The intersection both functions is the point when f(x)=g(x).

As, the point of intersection both graphs is (5, 2)

Here for the input value of x= 1.5

f(1.5)= 2

g(1.5)= 2.

So, f(1.5)= g(1.5)= 2

Learn more about Function here:

brainly.com/question/4283693

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Answer: x=1.5

Step-by-step explanation: