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3 years ago

All rectangles are _____. parallelograms rhombuses squares quadrilaterals

1 answer:

8 0

Quadrilateral and parallelogram

Squares are rectangles but rectangles are not squares b/c (not all sides are same length)

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Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n

Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip. We know it was 18% of the total. So...

x (the variable we need to find) 18%

__ = ___

10.08 (the total bill including tip) 100%

cross multiply

100x = 181.44

-------------------- (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

5 0

2 years ago

A 25 foot ladder is leaning against a house. It makes a 75 degree angle with the ground. How far is the base of the ladder from

Oduvanchick [21]

Look at the picture.

$\cos 75^\circ =\frac{x}{25} \\
25 \cos 75^\circ = x \\
25 \times 0.2588 \approx x \\
x \approx 6.47$

The base of the ladder is 6.47 feet from the house.

4 0

3 years ago

150 pounds shared into the ratio of 4:1

V125BC [204]

$\begin{cases}x+y=150\smallskip\\\dfrac{x}{y}=\dfrac{4}{1}\end{cases}\Leftrightarrow\begin{cases}x+y=150\smallskip\\x=4y\end{cases}\Leftrightarrow\begin{cases}5y=150\smallskip\\x=4y\end{cases}\Leftrightarrow\begin{cases}y=30\smallskip\\x=120\end{cases}$

$150=120+30$

4 0

3 years ago

a collection of dimes and quarters is worth $19.85. There are 128 coins in all. How many of each type of coin are in the collect

PolarNik [594]

Number of dimes were 81 and number of quarters were 47

Solution:

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that There are 128 coins in all

number of dimes + number of quarters = 128

d + q = 128 ------ eqn 1

Also given that collection of dimes and quarters is worth $19.85

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 19.85

$d \times 0.10 + q \times 0.25 = 19.85$

0.1d + 0.25q = 19.85 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 128 - q -------- eqn 3

Substitute eqn 3 in eqn 2

0.1(128 - q) + 0.25q = 19.85

12.8 - 0.1q + 0.25q = 19.85

12.8 + 0.15q = 19.85

0.15q = 7.05

Therefore from eqn 3,

d = 128 - q

d = 128 - 47

Thus number of dimes were 81 and number of quarters were 47

4 0

3 years ago

List 3 values that would make this inequality true y + 7 > 18

blsea [12.9K]

Answer:It

It can be 12, 13, 14 and more up

Step-by-step explanation:

Is that because 12+7= 19 which is bigger than 18

3 0

3 years ago