In the figure, lines j and k intersect to form the
angles shown. What is the measurements of angle 1

Step-by-step explanation:

2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.

so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.

therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).

so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.

Answer:

-4,2

Step-by-step explanation:

(x-2) (x+4)=0

x-2=0

x=2

x+4=0

x= -4

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

Answer:

15

Step-by-step explanation:

Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.

Hope it helped!

There are 15 more female teachers than the male teachers.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,

Let there be 6x female and 4x male teachers in the school,

Establishing the equation,

6x + 4x = 75

10x = 75

x = 7.5

Number of more females = 6x-4x = 2x = 2(7.5) = 15

Hence, there are 15 more female teachers than the male teachers.

For more reference on equations, click;

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Answer:

If there are 2 quarters for every 3 nickels,

then there are [tex]45*\frac{2}{3} =30[/tex] quarters.

If there are 2 dimes for every quarter,

then there are [tex]30*2=60[/tex] dimes.

If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.

Answer:

[tex] \: [/tex]

One Square Feet is equivalent to 0.0022956820843815 Decimal.

Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.

We are going to use very simple Square Feet to Decimal conversion formula for that.

see the calculation example given below.

Convert 56 Square Feet to Decimal ⇒ 56 Square Feet

= 56 × 0.0022956820843815 = 0.12855819672536 Decimal

Answer:

1: 25 3: 15.5

Step-by-step explanation:

1: divided 16 into 80, then multiplied 5 by 5.

3: found the simplified version of 120:20, it was 6:1, then I divided 6 into 93.

Answer:

8.3(3333333333333333)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(6x-5)+(12x+5)=180

18x=180

x=10

Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.

Half of 56 ft

= ½ × 56

= 56/2

= 28 ft

Half of 56 mm

= ½ × 56

= 56/2

= 28 mm

_______

Hope it helps ⚜:))

Answer:

1%

Step-by-step explanation:

0.4X2.5=1

Answer:

Step-by-step explanation:

Think about how this question is written out mathematically.

5/36−x=8

You’re looking for x.

When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.

53/6−8=x

In simple fraction form 8=8/1

But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1

In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.

Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6

Now that we have common denominators, we can subtract.

53/6 - 48/6

= 5/6

To check:

53/6 - 5/6 = 48/6

48/6 = 8

Answer:

HI!!!

Step-by-step explanation:

Answer:

it would be y=|x+6|

Answer:

false

Step-by-step explanation:

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

Answer:

A:use SAS to show triangle PRQ is congruent to triangle SR.P

Answer:

12>x>10

Step-by-step explanation:

-25<-3x+5

-3x+5<-31

no[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Instantaneous velocity of particle at 2 minutes is ~

Refer to the attachment for solution ~

Answer:

y = -5/3x + 8

Step-by-step explanation:

So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.

Answer:

25021/50 ft.

Step-by-step explanation:

Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft

More Explanation on Rational Numbers:

Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

Have a great day! :D

Answer:

ui100

Step-by-step explanation:

125

The temperature of a pan of water on the stove after 5 minutes would be 40°C.

Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.

The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.

We need to find the temperature after 5 minutes.

Rate of temperature per minute = 8°C

Rate of temperature after 5 minutes = 8°C × 5

                                                            = 40°C

Therefore, the temperature after 5 minutes would be 40°C.

Learn more about temperature;

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Answer:

an = a(n-1) -4

Step-by-step explanation:

From the table we see that

a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...

Notice the numbers decrease by 4 so

a2 = a1 -4

a3 = a2 -4

a4 =a3 -4

a5= a4-4

generalized we will have

an = a n-1 -4

Answer:

1 ft^3

Step-by-step explanation:

Answer:

1 ft^3

Step-by-step explanation:

Volume = Length x Width x Height, so 1x1x1. For volume ft would be cubed.

Answer:

x² - 2x = 0

Step-by-step explanation:

a = 0 ; b = 2

x² - (a +b)x + ab = 0

x² - (0 +2 )x + 0*2 = 0

x² - 2x = 0

Answer:

y = 40

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 3 , then

12 = 3k ( divide both sides by 3 )

4 = k

y = 4x ← equation of variation

When x = 10 , then

y = 4 × 10 = 40

Answer:

If you were to cut it in half (3.5 x 2)

The answer would be 7

Step-by-step explanation:

Answer:

y=x+6.

Step-by-step explanation:

the slope-interception form is: y=s*x+i, where s - slope, i - interception.

according to the data in the graph i=6, s=1, then finally,

y=x+6.

Answer:

that isnt the full question like what is the area of the pan and stuff

Step-by-step explanation:

Answer:

y= -x-1

Step-by-step explanation:

(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)

y=mx+b

m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1

Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.

y=mx+b

0=(-1)(-1)+b

0=1+b

0-1=1-1+b

b=-1

Then substitute b and m to get the equation.

y=(-1)x+(-1)

y= -x-1