Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.

Answer:

$120/x

Step-by-step explanation:

Answer:

120(1.1)^x

Step-by-step explanation:

it is a 10% increase, and think of it like this, what is after the decimal is the percentage increase, if there is a 1 the percentage increases, if it is a 0 then it decreases

The independent variable represents the cost of the meal for 70 people.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given when the manager quotes a price for a banquet, she is including the cost of renting the room plus the cost of the meal for each person. A banquet for 70 people costs $1300. For 120 people, the cost is $2200.

The expression will be written as,

Total cost = 70x + cost of rent

Therefore, the independent variable represents the cost of the meal for 70 people.

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Answer:

(a) [tex]x= \frac 2 3\div \frac 1 6[/tex]

(b) [tex]x= \frac 2 3\times \frac 6 1[/tex]

(c) 4 pounds

Step-by-step explanation:

Let the capacity of the container is [tex]x[/tex].

The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.

So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e

[tex]\frac 1 6 \times x = \frac 2 3\cdots(i)[/tex]

(a) From the equation (i), the required division expression for the capacity of the box, x, is

[tex]x= \frac 2 3\div \frac 1 6[/tex]

(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is

[tex]x= \frac 2 3\times \frac 6 1\cdots(ii)[/tex]

(c) From equation (ii), the capacity of the box is

[tex]x= \frac 2 3\times 6= 4[/tex] pounds.

Answer: h(3c) = 18c2 - 15c + 7

Step-by-step explanation:

h(z) = 2z2 - 5z + 7

To find h(3c), replace each z with 3c.

h(3c) = 2(3c)2 - 5(3c) + 7

Now just simplify.

h(3c) = 2(9c2) - 5(3c) + 7

h(3c) = 18c2 - 15c + 7

See attachment for math work and answer.

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

Answer:y=9

Step-by-step explanation:

Answer:

x = 30°, y = 90°

Step-by-step explanation:

[tex](y + x) + (y - x) = 180 \\ 2y = 180 \\ y = 90 \\ [/tex]

[tex]2x + y + x = 180 \\ 3x + 90 = 180 \\ 3x = 90 \\ x = 30[/tex]

Answer:

you get the equation by following the given patterns. y=2×+4

Answer:

Im pretty sure its 2/7

Step-by-step explanation:

you multiply across the top and the bottom so now you have 6/21. then you simplify it to be 2/7.

Answer:

2/7 or 0.285714 (repeating decimal)

Answer:

D. reflection then rotation

Step-by-step explanation:

ABC then A'B'C' then A''B''C''

Following this order, you can see that ABC is reflected across the x-axis to create A'B'C'.

A'B'C' is then rotated anticlockwise to create A''B''C''. How do we know this? The vertexes are pointing in different directions. If it was translated then B' would have been facing downwards instead of facing to the right

Answer:

A

Step-by-step explanation:

it's so hard to explain but I'm pretty sure A is the answer

Answer:  the slope of y=−4x+10 is: −4.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

EDG 2021

Answer: discrete

Step-by-step explanation:

The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.  

Answer:

6 kids ate pizza

Step-by-step explanation:

3/4 divided 1/8

Answer:

6 kids

Step-by-step explanation:

if each kid ate a 1/8 piece of the whole pizza => have [tex]\frac{3}{4}:\frac{1}{8}=6[/tex] (kids)

Answer:

the answer is c beucse yses

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given angles are Consecutive interior angles

As per property, they add up to 180

here ,

Now,

=> 2x +43 + 2x -3 = 180

=> 4x +40 = 180

=> 4x=180-40

=> 4x =140

=> X = 140/4

=> X = 35

Answer: -23, -4, -126/42, .4, 5/6, square root of 36, 8, 17

Step-by-step explanation: you simplify all the fractions and square roots then determine the order.

Answer:

Each pair is $17.31 average

Step-by-step explanation:

All you do is divide $69.25 by 4

Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer

Step-by-step explanation:

Answer:

2d<10 or 10>2d

Step-by-step explanation:

Answer:

2d < 10

Step-by-step explanation:

Answer: No, the experiment is not binomial

Step-by-step explanation:

From the formula for a binomial distribution :

nCx * p^k * q^(n - x)

n = number of trials (fixed)

x = number of success on trial

p = probability of success (which is the same for each trial).

q = (1 - p) = probability of failure (same for each trial)

Binomial experiment have binary outcome ; Either Success or Failure

The experiment described above :

Number of trials is satisfied (8 picks)

Binary outcome (matches on ticket or match does not exist).

Answer:

x=2

Step-by-step explanation:

Answer:

A: y=9-6x

B: y=6x+9

C: y=9-6x

Step-by-step explanation:

a) y=9-6x, standard form is ax+by=c so add 6x to both sides

b)  from the first, we had it in slope intercept form, mx+b where b is the y-intercept.  y=-6x+9

c)  The x intercept occurs when y=0 so: y=9-6x

x=1.5

Okay I got the answer, so -28 is (LESS) than -3, and 28m below sea level is a (GREATER) depth than 3m below sea level! i took the test and I got it right.

Step-by-step explanation:

Complete statement is as follows -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is Becky who went scuba diving. She writes an inequality statement that compares the magnitude of two depths that she reached.

We have the following expression -

|- 28| > |- 3|

The absolute value of the expression, will be -

28 > 3

Now, 28 is greater than 3.

But is we compare -28 and -3, then -28 is less than -3.

Now, if we compare the depth of 28 m and 3 m below the sea level, then 28 m represent more depth as compared to 3 m.

Therefore, we can write the complete statement as -

−28 is less than −3, but 28 m below sea level is greater depth than 3 m below sea level.

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Answer:

Total number of puppies in the litter = 11

Step-by-step explanation:

Let the number of yellow puppies in the litter = y

And the number of black puppies in the litter = b

If there was one less black puppy, ratio of yellow to black puppies = [tex]\frac{2}{3}[/tex]

[tex]\frac{y}{b-1}=\frac{2}{3}[/tex]

2(b - 1) = 3y

3y - 2b = -2 -----(1)

If there was one more black puppy, ratio of yellow puppies to black puppies = [tex]\frac{1}{2}[/tex]

[tex]\frac{y}{b+1}=\frac{1}{2}[/tex]

2y = b + 1

2y - b = 1 -------(2)

Equation (1) - 2× equation (2)

(3y - 2b) - 2(2y - b) = -2 - 2

3y - 4y - 2b + 2b = -4

y = 4

From equation (1),

3×4 - 2b = -2

12 - 2b = -2

-2b = -14

b = 7

Total number of puppies in the litter = 7 + 4 = 11

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