What is m∠PQR?

The PS is line segment. Q is the point between segments PS. QR is another line segment passes through segment PS. The angle PQR is (3x + 5) degree and angle SQR is (x + 3) degree.

Answer:

11,3

Step-by-step explanation: basic midpoint formula

Answer:

Step-by-step explanation:

If Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches, the effective strategy of finding the sum of the two lengths is to:

1) First is to add the two values together

47.6 + 39.75

= (47+0.6)+(39+0.75)

= (47+39)+(0.6+0.75)

= 86 + 1.35

= 87.35

2) Round up the answer to nearest whole number.

87.35 ≈ 87 (note that we couldn't round up to 88 because the values after the decimal point wasn't up to 5)

Option C is correct

Answer:

B. Round 39.75 to 40 and 47.6 to 48, then add.

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 + 16

= 4 (5 + 4)

= 4(5) + 4(4)

= 20 + 16

therefore, the answer is 4 (5 + 4)

Answer:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

Part 2:

The diameter of the sun is approximately 109 times the diameter of the earth.

Step-by-step explanation:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

So we can rewrite the diameter of the Earth in terms of km, knowing that 1 km = 1000000 mm.

[tex]D_{E}=1.2742\times 10^{10}mm*\frac{1km}{1000000mm}=1.2742\times 10^{4} km[/tex]

Part 2:

We can divide each diameter to find the relation between them.

[tex]\frac{D_{S}}{D_{E}}=\frac{1.391\times 10^{6} km}{1.2742\times 10^{4} km}=109.2[/tex]

Therefore the diameter of the sun is approximately 109 times the diameter of the earth.

I hope it helps you!

Answer:

He will pay $640 in interest in 4 years.

Step-by-step explanation:

Yearly interest will be $160

because $4,000 x 7% = $160

$160 x 4 years = $640

Answer:

for the first one rule x6-3:

4=21, 8=45, 5=27, 9=51, 7=39, and 10=57

For the next one:

1=2, 2=4, 3=6, 6=12, 9=18, and 10=20

Step-by-step explanation:

Okayy! Done! The first number is input, the second number is output. So first you have 2 times 4 divided by 2! 3 times 4 divided by 2. Just follow the rule.

Answer:

the unit rate is 1.33$ per pound of apples

Step-by-step explanation:

you can rewrite the word problem as

3x = 3.99.

now just divide both sides by 3.

3x / 3 = 3.99/3

x = 1.33

Answer:

These lines are parallel to each other

Step-by-step explanation:

It has the same slope of 3 and the only thing that is different is the y-intercept

Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

Answer:

b

Step-by-step explanation:

Answer:

B.)

Step-by-step explanation:

that is a characteristic of a maximum value parabola.

Answer: it's the letter b.

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

I can't see it.

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

The solution of the given fraction is 5/6.

Given that:

Fraction: divided 2/3 by 4/5

To calculate the division of fractions, simply need to multiply the first fraction by the reciprocal of the second fraction.

[tex]\dfrac{2/3}{4/5} =\dfrac{2}{3} \times \dfrac{5}{4}\\\dfrac{2/3}{4/5} =\dfrac{(2 \times5)}{(3 \times4) }\\\dfrac{2/3}{4/5} =10 / 12[/tex]

To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 2:

10 / 12 = 5 / 6

So, 2/3 divided by 4/5 is equal to 5/6.

Hence, the required result is 5/6.

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Answer:

1. The runner travels 8 miles in 2 hours

2. The runner's speed is 4 miles per hour

Step-by-step explanation:

EDG 2020

The runner travels 10 miles in 2 hours.

From the graph determine how much distance travel by runner in 2 hours.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Question seems to be incomplete. Here is the assumed data, from graph.

x (time) in hours       = 1  2  3  4  5
y (distance) in miles =  5 10 15 20 25

Here, from data runner travels 10 miles in 2 hours.

Thus, the runner travels 10 miles in 2 hours.

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Answer:

257

Step-by-step explanation:

Let the number of Adults = x

Number of senior citizens = y

Number of children = z

x + y + z = 670 tickets

The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.

$22 × x + $13 × y + $5 × z = $8526

22x + 13y + 5z = 8526

There were 49 more children than adults.

z = x + 49

x + y + z = 670 tickets

x + y + x + 49 = 670

2x + 49 + y = 670

y = 670 - 2x - 49

We substitute

22x + 13y + 5z = 8526

22x + 13(670 - 2x - 49) + 5(x + 49) = 8526

22x + 8710 - 26x - 637 + 5x +245 = 8526

22x + 5x - 26x + 8710 - 637 + 245 = 8526

x + 8318 = 8526

x = 8526 - 8318

x = 208

The number of Adults = 208

The number rod children is calculated as:

z = x + 49

z = 208 + 49

z = 257

The number of children = 257

Answer:

the value of 1 by 3- 1 by 2 is 1

Step-by-step explanation:

it is one because 1 by 3 is 1*3

that equals to 3

then you do 1 by 2 (aka 1*2)

then it is 3-2 which equals to 1

Answer:

y = [tex]\sqrt{19^2 + 8.2^2}[/tex]

Step-by-step explanation:

to get the hypotenuse:

use the Pythagorean theorem:

a² + b² = c²

where a = 19,  b = 8.2  c = y

plugin values:

19² + 8.2² = y²

y = [tex]\sqrt{19^2 + 8.2^2}[/tex]

Answer:

y = [tex]\sqrt{19^2+8.2^2}[/tex]

Step-by-step explanation:

Find the hypotenuse

Answer:

This expression is not factorable with rational numbers.

Step-by-step explanation:

The way factoring works, you just want to get it to its smallest form possible. To do that you would divide the entire problem by the Least Common Multiple.

This problem does not have a least common multiple. The LCM of 16 and 64 is 16 but x^2 does not have a number in front. 16k and 64 can be factored but in order to factor the entire problem, x^2 would need to have a number in front that made it divisible by a common multiple of 16 and 64.

Say if the problem was 2x^2+16k+64, you could divide the entire problem by 2. Your answer would be:

It is important to note that when you are factoring, never divide any exponents.

The way to check your work when factoring is to distribute the number outside of the parentheses. So in the example I just gave, you'd multiply everything in the parentheses, except the exponent, by 2. Which will give you the original 2x^2+16k+64.

Whatever number you factor out and end up putting outside your parentheses, should multiply back into the parentheses to give you the original problem. If it doesn't, then the factoring was done incorrectly.

Your answer should include parentheses.

The values of x are : 6.27 and -1.27

Answer:

the answer is B hope this helps

Function y=(x-1)(x-1) satisfy the condition for the given graph.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

According to given graph,

At x =0, the value of y = 1,

So substitute x = 0 in the given options,

Which option gives y = 1 will be correct option.

(A)

y = x² - 5x + 6

y = 0 -5x0 + 6

y = 6

(B)

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

y = (0-1)x (0 - 1)

y = 1

(C)

y=(x-3) (x+1)

y = (0-3)x(0+1)

y = -3

(D)

y = x² -x + 5​

y = 0 - 0 + 5

y = 5

Option (B) is the correct option.

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Given:

Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.

Velvet purchased by first customer = 120 centimeters

Velvet purchased by second customer = 14 meters

To find:

The remaining velvet in Malik's shop.

Solution:

We know that,

1 meter = 100 cm

Using this conversion, we get

32 meter = 3200 cm

14 meter = 1400 cm

Now,

Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm

                                                    = 1680 cm

Therefore, the remaining velvet in Malik's shop is 1680 cm.

Answer:

[tex]\frac{22}{3}[/tex] = b

or

7[tex]\frac{1}{3}[/tex] = b

(they are the same value, just different ways of writing it)

Step-by-step explanation:

4 = -[tex]\frac{2}{3}[/tex] (5) + b

simplify

4 = -[tex]\frac{10}{3}[/tex] + b

now use inverse operations

4 = -[tex]\frac{10}{3}[/tex] + b

+[tex]\frac{10}{3}[/tex]  +[tex]\frac{10}{3}[/tex]

[tex]\frac{22}{3}[/tex] = b

Given parameters:

        1.        [tex]-\frac{7}{8} + \frac{1}{4}[/tex]  

         [tex]-\frac{7}{8} + \frac{1}{4}[/tex]; find the LCM = 8

             =    [tex]\frac{-7 + 2 }{8}[/tex]        

             =     [tex]\frac{-5}{8}[/tex]

       2.   [tex]-\frac{12}{5} + 15.3[/tex]  

            Make the fraction decimal;

             [tex]-\frac{12}{5}[/tex]   = -2.4

            So;

                        -2.4 + 15.3  = 12.9  

Answer: 0.91

Step-by-step explanation: im hungry

Answer:

[tex]d=\sqrt{593}[/tex]

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

[tex]d=\sqrt{(-9-14)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(-23)^2+(-8)^2}[/tex]

[tex]d=\sqrt{529+64}[/tex]

[tex]\boxed{d=\sqrt{593}}[/tex]

Answer:

X-intercept= (1/2,0) Y-intercept= (0,1)

Step-by-step explanation:

You're welcome :)