There are 83 Grade 7 students in Queenston Junior High School. The number of boys is 31 less than 2 times the number of girls. How many boys and girls are there?

Answers

Answer 1

Answer:5

Step-by-step explanation:6×6


Related Questions

Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
the stack. How many cards were left in the stack?
There were
cards left in the stack.

Answers

Answer:

18

Step-by-step explanation:

You would have 27 then add 7 subtract 10 and subtract 6 to get 18.

18 ...................

For each pair of equations draw the lines for each the point of intersection represents the sol y=3x-1 y=2x

Answers

Answer:

Point of intersection is - (x, y) = (1, 2)

Step-by-step explanation:

Given - y=3x-1 y=2x

To find - For each pair of equations draw the lines for each the point of intersection represents the sol.

Proof -

Given that, the two lines are

y = 3x - 1            .........(1)

y = 2x                 .........(2)

For the intersection point, Compare the two equations (1) and (2)

By comparing, we get

3x - 1 = 2x

⇒3x - 2x - 1 = 0

⇒x - 1 = 0

⇒x = 1

Now,

Put the value of x in equation (1), we get

y = 3(1) - 1

   = 3  - 1

   = 2

⇒y = 2

∴ we get

Point of intersection is - (x, y) = (1, 2)

The graph is as follows :

Evaluate the expression shown below and write the answer as a fraction in simplert form.

Answers

Answer:

-8/19

Step-by-step explanation:

-11/19 + 3/19

Since the denominators are the same, we add the numerators

(-11+3) /19

-8/19

1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?

Answers

Answer:

$400

Step-by-step explanation:

2. Find the radius of the circle.
La
12 in.

Answers

Answer:

Hello! answer: radius is 6

Step-by-step explanation:

It shows that the diameter is 12 the radius is half of that therefore the radius is 6 hope that helps!

Write an equation of the line that contains the given points.
(-1,9), (0, -8)

Answers

Answer:

y = -17x + 10

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -8-9/0-(-1)

m= -17/1

m=-17

then use point slope formula (y-y1) =m(x-x1)

(y-9) = -17(x-(-1))

simplify

y-9 = -17x + 1

turn into slope intercept form

y = -17x + 10

2x + y - z = -8
2y + 3z = -6
-1/2x + y + z = -4


For the following matrix, which of the following matrix operations would result in a11 = 1?


Multiply row 2 by -1 and add it to row 1.

Multiply row 1 by - 1/2.

Multiply row 1 by 1/2.

Multiply row 3 by -4 and add it to row 1.

(please show your solution if possible & pls just type in the comments if unsure abt your answer.. thank you)

Answers

Answer:

Multiply row 1 by [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

[tex]\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Where [tex]a_{11} = 2[/tex], if we need to create [tex]a_{11} = 1[/tex], we need to multiply row 1 by [tex]\frac{1}{2}[/tex], that is to say:

[tex]\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right][/tex]

Hence, the correct answer is: Multiply row 1 by [tex]\frac{1}{2}[/tex].

What is the equation for -19 = b - 6

Answers

Answer:-13=b, b=-13

Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13

Answer:

[tex]b=-13[/tex]

Step-by-step explanation:

[tex]-19 = b - 6[/tex]

Switch sides

[tex]b-6=-19[/tex]

Add 6 to both sides

[tex]b-6+6=-19+6[/tex]

Simplify

[tex]b=-13[/tex]

help please :) show work?! NO LINKS BRO

Answers

8. 85.5 cm squared
9. 45.5 cm cubed

Need answer ASAP, don't need explanation. Find the area of the shaded region. Those are the four options.

Answers

Answer:

All you have to do is multiply 14 by 8.

14 x 8 = 112

Step-by-step explanation:

112 is the answer :)))

of 7−3x+x2−2x
7
-
3
x
+
x
2
-
2
x

Answers

Answer:

hahah 0x

Step-by-step explanation:

Help me and show work plz <3

Answers

The answer is 1, however, i do not know how to show the work. Sorry!

state study on labor reported that one-third of full-time teachers in the state also worked part-time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part-time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with a standard deviation of 6.5 hours. Is there convincing statistical evidence, at the level of α=0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase?

(A) No. The p-value of the appropriate test is greater than 0.05.
(B) No. The p-value of the appropriate test is less than 0.05.
(C) Yes. The p-value of the appropriate test is greater than 0.05.
(D) Yes. The p-value of the appropriate test is less than 0.05.
(E) Not enough information is given to determine whether there is convincing statistical evidence
answer a show work, please

Answers

Answer: a) no. The p value of the appropriate test is greater than 0.05

Step-by-step explanation:

The statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

Sample size n = 400 teachers

Sample mean X = 12.5 hours

Standard deviation S = 6.5 hours

Population mean u = 13 hours

Null hypothesis H0: u = 13

Alternativ hypothesis u <13

T-test:

[tex]\rm t = \frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]

[tex]\rm t = \frac{12.5-13}{\frac{6.5}{\sqrt{400} } }[/tex]

t = -1.5385

Now degree freedom df = n -1  = 400 - 1

df = 399,  α = 0.05

P-value = p[1+t<-1.5385]

P-value = 0.0624

∴ P-value is greater than α because of this the null hypothesis failed.

Thus, the statement "No. The p-value of the appropriate test is greater than 0.05." is a correct option (A) is correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

Amanda and Ameilio are sharing 72 candies in the ratio of 5:7 respectively. How many candies will Ameilia receive​

Answers

Answer:

Ameilia will receive 42 candles.

Step-by-step explanation:

5+7=12

72/12=6

6*7=42

Ameilia will recieve 42 candles.

6*5=30

Amanda will recieve 30 candles.

hope this helped have an amazing day! :)

Anita and Brad are each riding on the same bicycle path. Anita began riding at the start of the park and is riding at a rate of 18 miles per hour. Brad began from a spot 10 minutes ahead of her and us riding at a rate of 13 miles per hour. Part A write a system of equations to represent x, the number of hours it takes Anita and abroad to travel y miles along the path. Part B after how many hours do Anita and Brad meet on the path

Answers

Answer:

Part A

The system of equations are;

x = y/18

x + 1/6 = y/13

Part B

13/30 hours

Step-by-step explanation:

The path on which Anita is riding = The path on which Brad is riding

The point at which Anita starts riding = The start of the park

The rate at which Anita is riding = 18 miles per hour

The time at which Bras began = 10 minutes ahead of Anita

The rate at which Brad is riding = 13 miles per hour

Part A

Let 'x' represent the number of hours it takes Anita and Brad to travel 'y' miles along the path, we have;

The 'x' number of hours it takes Anita to travel 'y' miles is given as follows;

x = y/18

For Brad, we have;

10 minutes = 1/6 of an hour

The 'x'' number of hours it takes Brad to travel 'y' miles is given as follows;

x' = y/13

The duration Brad has traveled, when Anita has traveled for 'x'' hours = x + 1/6 hour

x' = x + 1/6

∴ x + 1/6 = y/13

Part B

Therefore, to travel the same 'y' mile as Anita , we have;

x + 1/6 = y/13

y = 13 × (x + 1/6) = 13·x + 13/6

y = 13·x + 13/6

For Anita, we had; x = y/18

∴ y = x × 18 = 18·x

Equating both y-values gives;

y = y

∴ 13·x + 13/6 = 18·x

18·x - 13·x = 5·x = 13/6

x = 13/(5 × 6) = 13/30 hours

The number of hours it will take Anita and Brad to meet on the path = 13/30 hours (equivalent to 13/30 hour × 60 minutes/hour = 26 minutes)

PLEASE HELPPPP ILL GIVE BRAINLIEST!!!
Dan, Anna, and Todd are walking in a city park. Each time Dan takes 3 steps, Anna takes 5 steps. Each time Anna takes 3 steps, Todd takes 5 steps. If Anna and Todd take a combined total of 400 steps, how many steps does Dan take?

Answers

Answer:

1200

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

a * b = 3a - 2b

2*(6*4)=

working please!!!​

Answers

Answer:

A = 4

B = 2

2* (6 * 4) = 48

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

i think the answer is 48

Quick question if I had a problem that was sin x = 18.9/20 =.945 how would I inverse sin of both sides ?

Answers

Answer:

The result is about 70.9 degrees

Step-by-step explanation:

Easy for a calculator.  If you're not using a calculator, it's much more tedious!

There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first.  The attached image shows a TI-83 display.  To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.

Check MODE first to make sure you're measuring angles in degrees (if that's what you want!).  Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.

The left side of the equation produces just x.

[tex]\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ[/tex]

ax+b=cx+d; a is not equal to c

Answers

Answer:

[tex]x = \frac{d - b}{a - c} [/tex]


1.x3 + 2x

Name the polynomial by number of terms. select the correct response

4 term polynomial
monomial
binomial
trinomial

Answers

I would say it is binomial

(NO LINKS) I BEG U HALP FELLOW SMART PPL

Answers

Answer: See the image below for the filled out table.

The other root is x = -2

===========================================================

Explanation:

The turning point is at (1, -45) which is the vertex. This is where the graph goes downhill, and then turns around to go uphill, or vice versa. Depending on the direction, the vertex is the lowest point or the highest point on the parabola.

We have (h,k) = (1,-45) as the vertex, so h = 1 and k = -45

y = a(x-h)^2 + k

y = a(x-1)^2 + (-45)

y = a(x-1)^2 - 45

Now plug in any other point from the table. You cannot pick (1,-45) or else you won't be able to solve for the variable 'a'. Let's go for (0,-40)

We'll plug x = 0 and y = -40 into the equation above to solve for 'a'

y = a(x-1)^2 - 45

-40 = a(0-1)^2 - 45

-40 = a(-1)^2 - 45

-40 = a - 45

a-45 = -40

a = -40+45

a = 5

Therefore, the equation for this parabola is

y = 5(x-1)^2 - 45

As a way to check, we can plug in something like x = -3 to find that...

y = 5(x-1)^2 - 45

y = 5(-3-1)^2 - 45

y = 5(-4)^2 - 45

y = 5(16) - 45

y = 80 - 45

y = 35

Which matches what the table shows in the first column. I'll let you verify the other columns. As you can probably guess at this point, we'll plug in the x values to get the corresponding y values.

So for x = -2, we get...

y = 5(x-1)^2 - 45

y = 5(-2-1)^2 - 45

y = 5(-3)^2 - 45

y = 5(9) - 45

y = 45 - 45

y = 0

The result of 0 here indicates we have a root at x = -2. This is the other x intercept. The x intercept already given to us was x = 4.

The rest of the table is filled out using the same idea. You should get what you see below.

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ ​ 8+6x x+4 10 ​ 4x−3 ​ , , , ​ x<−7 −7≤x<−5 x≥−5 ​

Answers

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

A person places $757 in an investment account earning an annual rate of 8.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.

Answers

Answer: 3902.4633

Step-by-step explanation: 3902.46 from deltamath

5 Ava consistently makes 75% of the free throws she attempts in basketball games,
The equation f = 0.75a can be used to find 7, the number of free throws Ava makes
out of a attempts, if she made 36 free throws during the last game, how many did
she attempt?
A 111
B 39
C 27
D 48

Answers

the answer to your equation is c

Can some one help me with this question its hard :( down below ill give brainliest

Answers

The answer is letter A

Answer:

The answer is D

Step-by-step explanation:

when you are dividing two numbers with an exponent you want to subtract the exponents.

7-4 =3

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=2x-5

Step-by-step explanation:

i took algebra

The starting salary for delivery driver is 35,000 per year with a yearly increase of 3% which type of function best models this situation

Answers

Answer:

Option B

Step-by-step explanation:

The complete question is

The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical

Solution

After 1 year the salary of delivery boy will be

[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]

Salary of delivery boy after 2nd year =

[tex]36050 + 36050*0.3 = 37131.5[/tex]

Salary after 3rd year

[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]

The growth in salary is linear as depicted from the values obtained.

Hence, option B is correct

Katrina is going to paint the front door of her house. What is the area of the door? Use 3.14 for π.

Answers

Answer:

'

Step-by-step explanation:

'

Please help-
Sam has 3 shirts, 3 pairs of shorts, and 2 pairs of shoes. How many possible combinations does Sam have if she wears 1 shirt, 1 pair of shorts and 1 pair of shoes at a time?

Answers

Answer:

The answer should be 18: 3 x 3 x 2

Answer:
She can do 18 combinations
Explanation:
3shirts x 2shoes = 6
3shorts x 6 previous total = 18
Giving you the answer of 18.

Hey do any of you guys know the answer to this? I’m struggling and I need help. Thanks!

Answers

Answer and Step-by-step explanation:

1.

We are told to give the transformations needed to map the triangle ABC onto the triangle XYZ.

First off, we should move the triangle to the right. We need to have point B of triangle ABC to overlap point Y of triangle XYZ.

Once that is done, we need to do a dilation by scale 1.5. This would perfectly align triangle ABC onto triangle XYZ.

2.

To find the length of XZ, we need to find the dilation factor. Since we know that the triangles are similar, we can divide the bigger side by the little side (though only the sides that correspond).

We will divide side CB by ZY to get the dilation scale factor.

6 divided by 4 equals 1.5.

Now, to find the length, we will divide side CA by 1.5.

21 divided by 1.5 equals 14.

The length of ZY is 14.

#teamtrees #PAW (Plant And Water)

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