Ask question

Ask question

All categories

3 years ago

5

Elisa's mom teaches at preschool. There is 1 teacher for every 12 students at the preschool. There are 276 students at the presc

hool. Elisa is setting up equivalent ratios to find the number of teachers at the preschool. Find her mistake and correct it. Elisas work-- 12/1 = ?/276 (Complete sentenses)

1 answer:

Pavlova-9 [17]3 years ago

8 0

12 students/1 teacher = 276 students/x teachers

Students are on top of the ratio and teachers are on the bottom of the ratio. It must remain the same on both sides of the equation.

12 x = 276

divide by 12

x =23

You might be interested in

At City Financial Bank, they have offered Haley a 7% compound interest rate. If she invests $1400 for 4 years. If they give her

Snezhnost [94]

Answer:

I'm not quite sure but maybe 392??? I really don't know tho

Step-by-step explanation:

1400*4= 5600, 5600*7= 39200, 39200/100= 392

4 0

3 years ago

You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How man

Shtirlitz [24]

Answer:

A)n= 703.96

B)n= 602.308

Step by step Explanation:

Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

Then z/2 = 1.645

And M = 3.1% = 0.031

A)Nothing is known therefore,

p = q = 0.50

E=0.031

For 90% confidence, z = 1.645

n = (zα/₂)²(p)(1-p)/M²

n= 1.645²× 0.5 × 0.5/0.031²

n= 703.96

Therefore, 703.96randomly selected air passengers must be surveyed to be 99%

B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35

n = (zα/₂)²(p)(1-p)/M²

n= (1.645²× 0.31 × 0.69)/0.031²

n= 602.308

Hence, 602.308 randomly selected air passengers must be surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

6 0

3 years ago

What is 9 3/10-1 7/10

OlgaM077 [116]

9 3/10- 1 7/10
8 13/10 - 1 7/10
7 6/10
7 3/5

8 0

3 years ago

Read 2 more answers

Princess Poly claims that the equation (3x−4i)(7x−8)(3x+4i)=0 has three roots, a real root and a complex root with a multiplicit

Serjik [45]

Given equation:

$(3x-4i)(7x-8)(3x+4i)=0$

i.e., $3x-4i=0$ and $7x-8=0$ and $3x+4i=0$

i.e., $3x=4i$ and $7x=8$ and $3x=-4i$

i.e., $x=\frac{4i}{3}$ and $x=\frac{8}{7}$ and $x=-\frac{4i}{3}$

Therefore, the given equation has a real root i.e., $x=\frac{8}{7}$

and two complex conjugate roots i.e., $x=\frac{4i}{3}$ and $x=-\frac{4i}{3}$

Hence, option C is correct.

4 0

3 years ago

Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?

FinnZ [79.3K]

The correct option is Option D $\boxed{{r_{y-axis}}o{R_{0,270^\circ }}\left({x,y}\right)}$ .

Further explanation:

A translation is a transformation that transforms the figure with a fixed distance in the same direction.

A rotation is the transformation that rotates the figure with given angles.

Given:

It is given that the two transformations that maps pre-image PQRS to image ${\text{P''Q''R''S''}}$ .

Step by step explanation:

Step 1:

It can be seen from the given figure that that the pre image is in the first quadrant and the image is the third quadrant.

The coordinates in the second quadrant represents as $\left({-x,y}\right)$ and in the third quadrant represents as $\left({-x,-y}\right)$ if $x,y$ are positive.

Therefore, the rotation is in the counter clockwise direction of $270^\circ$ .

Step 2:

The rotation of $270^\circ$ in the counter clockwise direction represents the coordinates as,

$\left({x,y}\right)\to\left({y,-x}\right)$

It can be seen that the coordinate of ${\text{PQRS}}$ are as follows,

$\begin{aligned}P=\left({1,1}\right)\hfill\\Q=\left(1,5}\right)\hfill\\R=\left({3,5}\right)\hfill\\S=\left({3,1}\right)\hfill\\\end{aligned}$

Then after rotation of $270^\circ$ counterclockwise on ${\text{PQRS}}$ $\left( {x,y}\right)\to\left({y,-x}\right)$ as,

$\begin{gathered}P\left({1,1}\right)\to\left({1,-1}\right)\hfill\\Q\left({1,5}\right)\to\left({5,1}\right)\hfill\\R\left({3,5}\right)\to\left({5,-3}\right)\hfill\\S\left({3,1}\right)\to\left({1,-3}\right)\hfill\\\end{gathered}$

Step 3:

Now apply the rule of $y$ axis of reflection ${R_{y-axis}}\left({x,y}\right)\to\left({-x,y}\right)$ on the above transformation as,

$\begin{gathered}\left({1,-1}\right)\to\left({-1,1}\right)=P''\hfill\\\left({5,1}\right)\to\left({-5,-1}\right)=Q''\hfill\\\left({5,-3}\right)\to\left({-5,-3}\right)=R''\hfill\\\left({1,-3}\right)\to\left({-1,-3}\right)=S''\hfill\\\end{gathered}$

Therefore, the given transformation is the rotation of $270^\circ$ counterclockwise followed by $y$ axis of reflection.

Therefore, this is the composition of transformation.

The composition of the given transformation can be written as,

${r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)$

Therefore, option D ${r_{y-axis}}o{R_{0,270^\circ}}\left({x,y}\right)$ is correct.

Learn more:

Learn more about what is the final transformation in the composition of transformations that maps pre-image abcd to image a"b'c"d"? a translation down and to the right a translation up and to the right a 270° rotation about point b' a 180° rotation about point b' <u>brainly.com/question/2480946</u>

Learn more about the transformation of function <u>brainly.com/question/7297858 </u>

Learn more about midpoint of the segment <u>brainly.com/question/3269852</u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Transformations

Keywords: transformations, dilation, translation, rotation, counterclockwise, angle, clockwise, coordinates, mapping, rigid transformation, right side, left side, quadrant, composition.

3 0

3 years ago

Read 2 more answers