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3 years ago

11

A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many con

tainers are required for the recipe?

1 answer:

attashe74 [19]3 years ago

4 0

There are two pints per quart

3 q * 2 p/qt = 6 pints needed

6 pint /1.5 pint/container = 4 containers

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Solve 2 1/2 divided by 5 1/3 = 8/x

ipn [44]

$2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } }$

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

$\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }$

Let's equal this too 8/x

$\frac { 15 }{ 32 } =\frac { 8 }{ x }$

Cross multiply.

$8\cdot 32=15\cdot x\\ \\ 256=15x$

Divide both sides by 15.

$\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x$

4 0

3 years ago

The figure shows a person estimating the height of a tree by looking at the

FrozenT [24]

Answer:

The proportion that can be used to estimate the height of the tree is option;

A. $\dfrac{h}{12} = \dfrac{6}{5}$

Step-by-step explanation:

The given parameters in the question are;

The medium through which the person looks at the top of the tree = A mirror

The angle formed by the person and the tree with the ground = Right angles = 90°

The distance of the person from the mirror, d₁ = 5 ft.

The height of the person, h₁ = 6 ft.

The distance of the tree from the mirror, d₂ = 12 ft.

The angle formed by the incident light from the tree on the mirror, θ₁ = The angle of the reflected light from the mirror to the person, θ₂

Let 'A', 'B', 'M', 'T', and 'R' represent the location of the point at the top of the person's head, the location of the point at the person's feet, the location of the mirror, the location of the top of the tree and the location of the root collar of the tree, we have;

TR in ΔMRT = The height of the tree = h, and right triangles ΔABM and ΔMRT are similar

The corresponding legs are;

The height of the person and the height of the tree, which are AB = 6 ft. and TR = h, respectively

The distances of the person and the tree from the mirror, which are BM = 5 ft. and MR = 12 ft. respectively

∴ The angle formed by the incident light from the tree on the mirror, θ₁ = ∠TMR

The angle of the reflected light from the mirror to the person, θ₂ = ∠AMB

Given that θ₁ = θ₂, we have;

tan(θ₁) = tan(θ₂)

∴ tan(∠TMR) = tan(∠AMB)

$tan\angle X = \dfrac{Opposite \ leg \ length \ to \ reference \ angle}{Adjacent \ leg \ length \ to \ reference \ angle}$

$tan(\angle TMR) = \dfrac{TR}{MR} = \dfrac{h}{12}$

$tan(\angle AMB) = \dfrac{AB}{BM} = \dfrac{6}{5}$

From tan(∠TMR) = tan(∠AMB), we have;

$\dfrac{h}{12} = \dfrac{6}{5}$

$\therefore h = \dfrac{6 \, ft.}{5 \, ft.} \times 12 \, ft. = 14.4 \, ft.$

The height of the tree, h = 14.4 ft.

Therefore, from the proportion $\dfrac{h}{12} = \dfrac{6}{5}$ the height of the tree can be estimated.

3 0

3 years ago

Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he

Charra [1.4K]

<u>Answer:</u>

$50 + 5x > $220

5x> $220 - $50

7 0

3 years ago

HELP ASAP 2 and 3!! please :)

damaskus [11]

Answer:

2. D. division property of equality

3. B. transitive

Step-by-step explanation:

2. well, we divide both sides by the same factor 3.

3. the same reason as for 4. we are using that if A = B, and B = 30, then A =30 in both lines.

5 0

3 years ago

On Monday, Hidi saw 3/5 of the birds listed in her

saul85 [17]

Answer:

0.8 or 4/5

Step-by-step explanation:

3 0

3 years ago