There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?

Answer:

Step-by-step explanation:

a) ∠ABD + ∠DBC = 90°

4x - 3 + 7x - 6 = 90

4x + 7x - 3 - 6 = 90

       11x -  9     = 90

              11x    = 90 + 9

              11x    = 99

                   x = 99/11

x = 9

∠ABD = 4*9 - 3 = 36 - 3 = 33

Answer:

Step-by-step explanation:

theres 2 possible solutions for each equation and each one is right

or for dummies, just reverse the +/- inside the l x +/- y l. and make 2 different equations the first with a + and the second with a -

1. lb-6l = 1

b - 6 = 1

b = 7

-----------

b + 6 = 1

b = -5

--------------

2. lb+2l=7

b + 2 = 7

b = 5

--------------

b - 2  = 7

b = 9

---------------

Answer:

dimes

Step-by-step explanation:

Answer: dimes

Step-by-step explanation:

a) Keith's car will have less gas.

Locate the point in which miles driven = 90 (Between 60 and 120)

Since Keith's line is lower than Carmen, he has less gas.

We can also find the difference: 11 - 10 = 1.

It will have 1 less gallon.

b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.

Before 180 miles, Keith's car will always have less car remaining.

Answer:

They are similar triangles so the sides are equal

3y-2=y+4

2y=6

y=3

so we can insert y=3 to calculate the side length

3y-2=3*3-2=7=PR side

calculate the perimeter:

4+6+7=17ft

Step-by-step explanation:

Add the lengths.of all sides together

4+6+(3y-2)

= 4+6+3y-2

=8+3y ft

Answer:

below.

Step-by-step explanation:

2. 4.

3. 180   3. Internal angles between parallel lines.

4. 6.

5. 20 160.

Answer:

it's angle not angel.

Step-by-step explanation:

Answer:

Use the Import Data tool. Use the Export Data tool. Enter data manually into the QuickBooks Online forms and check registers. Use the Attachments tool

Answer:

y=X +1

……. M=1

Answer:

(x + 11) ÷ 9 = 67

or

[tex]\frac{(x + 11)}{9}[/tex] = 67

Step-by-step explanation:

Let x be the number

Answer:

you got to do it

Step-by-step explanation:

Answer:

y(x) = -400 m + (700 m/hr)x

Step-by-step explanation:

Let y = 0 represent sea level.  Noir's initial altitude was -400 m.  In two hours she went from -400 m to +1000 m, a positive change of 1400 m.  Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or

rate of ascent = 1400/2 m/hr  =  700 m/hr

Thus, an equation describing her altitude relative to sea level after x  hours is

y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed.  This formula correctly predicts the altitude after two hours:

y(2) = -400 m +  (700 m/hr)(2 hr) = 1000 m above sea level.

Answer:

10.25

Step-by-step explanation:

You'd need get Forty one divided by 4 and your answer should be 10.25 , 41 ÷ 4 = 10.25

Answer:

[tex]\frac{4}{6}+\frac{3}{5}[/tex]

Step-by-step explanation:

1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]

[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]

[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]

Answer:

Answer in Explanation

Step-by-step explanation:

-10 + 1 + 7x = 37

-9 + 7x = 37

Add 9 on both sides to leave 7x alone

7x = 46

Divide by 7 to leave x alone

x = 46/7 or 6.57

If the equation is positive 10 at the beginning instead of -10 then this is the answer for that:

10 + 1 + 7x = 37

11 + 7x = 37

Subtract 11 from both sides to leave 7x alone

7x = 26

Divide by 7 to leave x alone

x = 26/7 or 3.7

Answer:

No

Step-by-step explanation:

For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.

I hope this helps!

Answer:

5.6 by 19.4

108.64 ft²

21 pumpkins

Step-by-step explanation:

Set length of shorter side as x. Then, the longer side is 4x - 3

He used 50 feet of board, which means, using the formula for perimeter:

x + 4x - 3 + x + 4x - 3 = 50

Simplify and solve.

10x - 6 = 50

10x = 56

x = 5.6

Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4

This means the dimensions of the garden are: 5.6 by 19.4

Area = length times width, so the area is 108.64 ft²

The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728

Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.

Answer:

(2-c)=d

Step-by-step explanation:

completing the square

hope it can help you lovelots

Answer:

Ok

Step-by-step explanation:

Ok

Answer:

Ans is 65

Mark me BRAINLIEST

Answer:

x is 45

Step-by-step explanation:

since the interior of a circle is 360, and that portion of the outside Is 45, we add 45 to get 90.since there are 4 quarter in a circle, each one would equal 90. 90 times 4 is 360.

Answer:

y = ([tex]-\frac{1}{2}[/tex])x + 4

Step-by-step explanation:

(x1,y1) = (0,4) ; (x2,y2) = (8,0)

The equation will look like y=mx+b

Slope m = [tex]\frac{rise}{run}[/tex] =  [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]

Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.

y=mx+b

0 = ([tex]-\frac{1}{2}[/tex])8 + b

0 = -4 +b

0+4 = -4 +4 +b

b=4

Then substitute b and m to the equation y=mx+b

y = mx + b

y = ([tex]-\frac{1}{2}[/tex])x + 4

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

Answer: 6

Step-by-step explanation:

1. 2(4 + px) = 12x (write it down)

2. 8 + 2px = 12x (distributive property)

3. 8/2 + 2px/2 = 12x/2 (divide all by 2

4. 4 + px = 6x

5. 4 = 6x - px

Plug all in:

4 = 6x - 2x (possinle)

4 = 6x - 6x (not possible)

4 = 6x - 12x (possible)

4 = 6x - 24x (possible)

Answer: 6

because:

4 = 6x - 6x

4 = 0

La razón que indica el avance de un automóvil  a 40,000m en 60 min es  666.67 m/min

Queremos obtener la razón entre la distancia avanzada por un automóvil y el tiempo en el que se avanza esta distancia.

Recordamos que:

velocidad = distancia/tiempo.

Entonces lo que calcularemos es la velocidad, en promedio, del autmóvil.

Tenemos:

Velocidad = 40,000m/60min = 666.67 m/min

Sí quieres aprender más, puedes leer:

https://brainly.com/question/25316464

Answer:

397

Step-by-step explanation:

1. To evaluate this expression, we plug in the value of x and simplify.

Therefore, the answer is 397.

Answer:

5/12

Step-by-step explanation:

1/2 × 5/6 = 5/12

Step-by-step explanation:

can you write it in english