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3 years ago

Four more than one third x

Mathematics

1 answer:

Ierofanga [76]3 years ago

5 0

Answer:

4 + x/3

4 + 1/3x

Step-by-step explanation:

Step 1: Convert "four" to number

Step 2: Covert "more than" to number

4 +

Step 3: Convert "one-third" to number

4 + 1/3

Step 4: Add variable x (multiplication)

4 + 1/3x

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Find the measure of RPQ

nikklg [1K]

Answer:

Step-by-step explanation:

<SRQ = 270 degrees

<RPQ is just 31 degrees short of that amount.

<RPQ = <SRQ - 31

<RPQ = 270 - 31

<RPQ = 239

5 0

3 years ago

PLEASE HELP! Find the missing part.

viktelen [127]

Answer:

Step-by-step explanation:

$\frac{y}{a}= tan~60=\sqrt{3} \\y=a\sqrt{3} ~~~(1)\\\frac{y}{b} =tan~30\\y=\frac{b}{\sqrt{3} } ~~~(2)\\from~(1)~and~(2)\\a\sqrt{3} =\frac{b}{\sqrt{3} } \\b=a\sqrt{3} \times\sqrt{3} =3a\\a+b=15\\a+3a=15\\4a=15\\a=\frac{15}{4} \\b=3a=3 \times \frac{15}{4} =\frac{45}{4}\\y=a\sqrt{3} =\frac{15\sqrt{3}}{4} \\\frac{x}{15} =sin~30\\x=15 \times \frac{1}{2}=\frac{15}{2}\\\frac{z}{15}=cos~30\\z=15 \times \frac{\sqrt{3}}{2}=\frac{15\sqrt{3} }{2} \\$

4 0

2 years ago

At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05. A bucket of 3 pieces of dark meat

Alenkinab [10]

Answer:

The cost of a piece of dark meat is $0.70 and the cost of a piece of white meat is $0.85.

Step-by-step explanation:

Given:

At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05.

A bucket of 3 pieces of dark meat and 8 pieces of white meat costs 8.90.

Now, to find the cost of a piece of dark meat and the cost of a piece of white meat.

Let the cost of a piece of dark meat be $x.$

And the cost of a piece of white meat be $y.$

A bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05.

So,

$4x+5y=7.05$

$4x=7.05-5y$

$x=\frac{7.05-5y}{4}$ .......(1)

Now, a bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90.

$3x+8y=8.90$

Substituting the value of $x$ from equation (1) we get:

$3(\frac{7.05-5y}{4})+8y=8.90$

$\frac{21.15-15y}{4} +8y=8.90$

$\frac{21.15-15y+32y}{4} =8.90$

Multiplying both sides by 4 we get:

$21.15-15y+32y=35.60$

$21.15+17y=35.60$

Subtracting both sides by 21.15 we get:

$17y=14.45$

Dividing both sides by 17 we get:

$y=0.85$

The cost of a piece of white meat = $0.85.

Now, substituting the value of $y$ in equation (1) we get:

$x=\frac{7.05-5y}{4}$

$x=\frac{7.05-5\times 0.85}{4}$

$x=\frac{7.05-4.25}{4}$

$x=\frac{2.8}{4}$

$x=0.70.$

The cost of a piece of dark meat = $0.70.

Therefore, the cost of a piece of dark meat is $0.70 and the cost of a piece of white meat is $0.85.

5 0

3 years ago

A travel company sells holidays and wants to survey 500 customers stratified by country visited, complete the table.

OlgaM077 [116]

Answer:

$\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|$

Step-by-step explanation:

$\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\$Number of Customers &968& 248& 2042& 742& 4000\\$Number of sample&&&&&&\end{array}\right|$

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.

For UK, Number of Samples $=\dfrac{968}{4000}X500=121$

For France, Number of Samples $=\dfrac{248}{4000}X500=31$

For Spain, Number of Samples $=\dfrac{2042}{4000}X500\approx 255$

For Italy, Number of Samples $=\dfrac{742}{4000}X500\approx 93$

The completed table therefore is:

7 0

3 years ago

Read 2 more answers

The sum of three consecutive integers is 3,009. What is the smallest of these integers?

Nataliya [291]

1002
The equation ( x + 1 ) + ( x + 2 ) + ( x + 3) = 3009
We do 1 + 2 + 3 = 6
Subtract 3009 with 6 = 3003
We have 3x = 3003
Divide 3003 / 3 = 1001
x = 1001
Let's use our equation!
1002 + 1003 + 1004 = 3009

7 0

3 years ago

Read 2 more answers