Angle A and B are complementary

m∠A= (x - 4)°

m∠B= (2x + 7)°

Can you solve this for me please!!

Answer:

32 lbs

Step-by-step explanation:

Given:

1/4 spicy trail mix

3/8 regular trail mix

20 total mix

Math:

1/4 + 3/8 = 5/8

20/ (5/8) = 32

Answer:

32 pounds

Step-by-step explanation:

Fraction of supply for regular trail mix= ⅜

Fraction of supply for spicy trial mix

= ¼

[tex] = \frac{2}{8} [/tex]

We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.

Simplifying the above information into units form:

Total (supply)= 8 units

Regular trail mix= 3 units

Spicy trail mix= 2 units

Raisins used this week

= (3 +2) units

= 5 units

Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.

5 units ----- 20 pounds

Divide both sides by 5 to find how much raisins 1 unit represents:

1 unit ----- 20 ÷5= 4 pounds

Since his supply was 8 units of raisins,

8 units ----- 4(8)= 32 pounds

∴ He had 32 pounds of raisins at the beginning of the week.

set up an equation:

2(x+20) = 5x - 2

Simplify:

2x +40 = 5x - 2

Add 2 to both sides:

2x + 42 = 5x

Subtract 2x from both sides:

42 = 3x

Divide both sides by 3:

x = 42/3 = 14

The number is 14

Answer:

The answer is 14

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given is an isosceles triangle and so:

3x + 20 = 5x export like terms to the same side of the equation

20 = 5x - 3x

20 = 2x divide both sides by 2

10 = x

Answer:

I need this in essay form......

Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.

Answer:

Remember that the slope of perpendicular lines are negative reciprocals of each other.

Step-by-step explanation:

y = 1 - 2x     the slope is -2     the value of the x term.

So the slope of the new line using point (- 1, 2)  is  1/2.

Now use y = mx + b where y = -1, x = 2, and m = 1/2 .

y = mx + b

-1 = 1/2(2) + b                solve for "b", the y-intersect

-1 =  1 + b

-2 = b

The line that is perpendicular to y = 1 - 2x  is  y = 1/2x - 2

Answer:

Find the LCM of 3 and 4

Divide 12 by 4 and multiply with 3 which is 9

Divide 12 by 3 and multiply with 1 which is 4

9 plus 4 is 13

so the answer is 13/14

Answer:

17 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here sum = 2700° , then

180°(n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

The polygon has 17 sides

Answer:

-29

= -16 + 5(-4) + 7

=16 - 20 + 7

=-29

Answer:

2

Step-by-step explanation:

find how many fourths are in a half:

1/2 = 2/4

if there's 2/4 in a half, then she filled two bottles

have a wonderful day :)

Answer:

-305.296

Step-by-step explanation:

Make y the subject of the equation.

If 4.704=y+310 is the given equation, the value y is -305.3

Two or more expressions with an Equal sign is called as Equation.

The given equation is 4.704=y+310

Four point seven zero four equal to y plus three hundred ten

We need to solve for y in the given equation.

4.704=y+310

Subtract 310 on both sides

4.704-310=y+310-310

-305.3=y

Hence, y is -305.3 for the equation 4.704=y+310

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

The expression 1/2(x divided by 4)+y when evaluated for x = 16 and y = 2/5 is 12/5

The mathematical statement of the expression is given as

1/2(x divided by 4)+y

When the above expression is expressed using proper mathematical operators

We have the followng expression

1/2(x/4) + y

From the question, we have the followng values

x = 16 and y = 2/5

This means that

1/2(x/4) + y = 1/2(16/4) + 2/5

When evaluated, we have

1/2(x/4) + y = 12/5 or 2.4

Hence, the value of the expression si 12/5

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16;  x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).

We have the standard deviation for the population, which is why the z-distribution is used to solve this question.

The interval is given by:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Then:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]

The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).

A similar problem is given at https://brainly.com/question/22596713

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given function is

[tex]\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R[/tex]

To find the range of the function f, Let assume that

[tex]\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} + y = {x}^{2} [/tex]

[tex]\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y[/tex]

[tex]\rm \longmapsto\: - {x}^{2} (1 - y) = - y[/tex]

[tex]\rm \longmapsto\: {x}^{2} (1 - y) = y[/tex]

[tex]\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} [/tex]

[tex]\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } [/tex]

For x to be defined,

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1[/tex]

[tex]\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1[/tex]

[tex]\bf\implies \:y \: \in \: [0, \: 1)[/tex]

Hence,

[tex]\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)[/tex]

Answer:

3/500

Step-by-step explanation:

Answer:

Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

Answer:

b) 5x +3y ≤ 50

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

5 5/16

Answer:

5 and 5/16

Step-by-step explanation:

Answer:

3,720,087

Step-by-step explanation:

Multiply each number by 3.

Answer:

I believe the price after the markup would be $225.99, I hope this helps! :)

Answer:

Step-by-step explanation:

Increase % = 13%

[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]

Answer:

refer to the attachment

Step-by-step explanation:

hope that helps

Answer:

[tex]30x^3-15x^5+35x^4-43[/tex]

Step-by-step explanation:

[tex]30x^3-15x^5+35x^4-43[/tex]

Use the distributive rule and distribute 5x into the brackets. Then use the order of operation rule to do what is after the brackets.

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!