Select all the ratios that are equivalent to the ratio 12 : 3.

Multiple select question.
cross out

A)
6 : 1

cross out

B)
1 : 4

cross out

C)
4 : 1

cross out

D)
24 : 6

cross out

E)
15 : 6

cross out

F)
1,200 : 300

cross out

G)
112 : 13

Answer: n>1.5

( n2 here means 2×n not n² )

Step-by-step explanation:

5 + 2n > 8

Subtract 5 from both sides

5 -5 + 2n > 8 -5

2n > 3. Divide both sides by 2

2n/2 > 3/2

n = 1.5

Answer:

48 mm squared

Step-by-step explanation:

divide the shape into 3 parts- left square, middle joining rectangle, and right rectangle

a) the right most square has an area of 4 by 4 ie 16 mm sq.

b) the middle adjoining rectangle and length of 2 mm and breadth of 1mm making its area 2mm sq.

c) the right rectangle has height 5 mm nad breadth 6mm making the area 30 mm sq.

adding parts a b and c the total area is 16+2+30 = 48 mm squared

Answer:

48 square mm

Step-by-step explanation:

see attached image

We have 3 rectangles now.

16+2+30

=48

So, the area is 48 square mm.

Hope this helps! :)

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

D

Step-by-step explanation:

Dddddddddddddddddddddddddddddd

Answer:

C and D

Step-by-step explanation:

you could draw them connecting to each other using your ruler and predict if ita a triangle or not .

also the sum of any 2 sides of a triangle must be greater than the measure of the third side unless equilateral Triangle

Answer:

7^5

Step-by-step explanation:

The base number (7) is the same, so we can just add the exponents together.

Hope that helped!

To write 7^3 x 7^2 using a singular exponent, you can add the exponents together since the bases (7) are the same. The result is:

7^3 x 7^2 = 7^(3 + 2) = 7^5\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Answer: y = 6

Step-by-step explanation:

1. Subtract 7 from both sides to isolate -2y.

-2y = -12

2. Divide both sides by -2 to isolate the y.

y = 6

Answer:

18 girls and 9 boys

Answer:

Step-by-step explanation:

2:3                     ?:27

How does 3 get to 27? x9.              2 x 9?           18

2:3                     18:27

Information: 18 girls and 27 students.

The others must be boys. 27 - 18 = 9

There are 9 boys and 18 girls. Ratio: 9 to 18 or 9:18 or 9/18 You can simplify to 1 boy for every 2 girls. Ratio: 1 to 2 or 1:2 or 1/2

So first of all we should know that the rectangular prism is a cuboid.

\( \\ \\ \)

\( \\ \)

\( \\ \)

We know:-

\( \bigstar \boxed{ \rm volume \: of \: cuboid = length \times width \times height}\)

\( \\ \\ \)

So:-

\( \dashrightarrow \sf volume \: of \: cuboid = length \times width \times height \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf volume \: of \: cuboid = 9 \times 5 \times 4 \\ \)

\( \\ \\ \)

\( \dashrightarrow \sf volume \: of \: cuboid = 45 \times 4 \\ \)

\( \\ \\ \)

\( \dashrightarrow \bf volume \: of \: cuboid = 180 {in}^{3} \\ \)

Therefore option C is correct .

\( \\ \\ \)

\( \\ \\ \)

\(\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\)

Answer:

The height of the scale model is 10 inches, and the height of the actual monument is 100 feet. Since there are 12 inches in 1 foot, we can convert the height of the actual monument to inches:

100 feet × 12 inches/foot = 1200 inches

Now we can write the scale as:

1 inch : 120 feet

This means that one inch on the scale model represents 120 feet of the actual monument.

Answer:

3/4 x 2/5

6/9 ÷ 4/7

Step-by-step explanation:

Answer:

147894.736842

Answer:

238 in.²

Step-by-step explanation:

For a parallelogram, A = bh.

A = bh

A = 17 in. × 14 in.

A = 238 in.²

answers are in the picture

goodluck :)

Answer: The figure that has exactly one line of symmetry is B. Pentagon.

Step-by-step explanation: A line of symmetry is a line that divides a figure into two congruent halves that are mirror images of each other. A figure can have zero, one, or more lines of symmetry depending on its shape and orientation. To find the lines of symmetry of a figure, we can use a paper folding method or a reflection test. A paper folding method involves folding the figure along a line and checking if the two halves match up exactly. A reflection test involves reflecting the figure over a line and checking if the image coincides with the original figure.

Using either method, we can see that:

A. Rhombus has two lines of symmetry: one diagonal and one vertical.

C. Rectangle has two lines of symmetry: one horizontal and one vertical.

D. Triangle has either zero or three lines of symmetry depending on the type of triangle. An equilateral triangle has three lines of symmetry: one vertical and two bisecting the angles. An isosceles triangle has one line of symmetry: the perpendicular bisector of the base. A scalene triangle has no lines of symmetry.

B. Pentagon has either zero or five lines of symmetry depending on the type of pentagon. A regular pentagon has five lines of symmetry: each passing through a vertex and the midpoint of the opposite side. An irregular pentagon has no lines of symmetry.

Therefore, the only figure that has exactly one line of symmetry is B. Pentagon, but only if it is an isosceles pentagon.

Hope this helps, and have a great day! =)

Answer:

y= 5, 17/4 , 37/8 must be the answers.

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

Part A: $2,400

Part B: $9,900

First, you need to find how much interest she is paying annually by taking the 8% and finding out what is 8% of $7,500. To do this, we can set two fractions up side by side, x/7,500 and 8/100. The denominators mean 100% of 7,500 is 7,500. The numerators mean that x is 8% of 7,500.

So to find x, we can cross multiply 7,500 and 8, giving us 60,000. Then we can divide 60,000 by 100, to give us 600. So x=600. 600 is how much interest costs for 1 year.

Now, to find how much interest is for 4 years, all we have to do is multiply 600 by 4. This gives us 2400. So, 4 years of interest costs her $2,400.

Her total balance after the 4 years is just the 4 year interest plus the amount borrowed. So 2,400 + 7,500. Giving us $9,900.

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: 3 is 0 and 4 is unidentified

Step-by-step explanation:

The horizontal line has a slope of zero, think of it as you can walk on it or not. Since four has all X's as eight that creates a vertical slope which cannot be walked on.

Thanks for the opportunity to help you! :)

1. m/slope=6/1 or 6. Use the first two points for the formula y₂-y₁/x₂-x₁. B

2.m=-4 or -12/3. Use the slope formula and substitute the points. G

3. m=zero. I

4.m=undefined. A

9514 1404 393

Answer:

  181

Step-by-step explanation:

The tagged deer seem to represent about 17/110 of the population. Since there are 28 deer with tags, the population (p) is estimated to be ...

  110/17 = p/28

  p = 28(110/17) ≈ 181

There are about 181 deer in the woods.

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

-8x - 6

Hope this helps! Please comment if I am right or not.

Answer:-8x-6

Step-by-step explanation:-3x-5x-6,(-3-5)x-6, solution -8x-6.