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3 years ago

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Antonio and his family ordered a meal that cost $20. Antonio paid 5% sales tax and left a 15% tip on $20. What was the total cos

t?

2 answers:

Ierofanga [76]3 years ago

5 0

5% of 20 is $1
15% of 20 is $3
20+3+1=24
Antonio spent 24 dollars in total

Nataly [62]3 years ago

3 0

The answer would be $24.

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KIM [24]

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➷ The range is B. Greater for data set 2

The mean is B. Greater for data set 2

2) The range is C. Greater for the 14 to 19 year olds

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4 0

3 years ago

Read 2 more answers

Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

4 years ago

Read 2 more answers

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Let:</em>

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

$\texttt{ }$

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0

3 years ago

Use the euclidean algorithm to find

kvasek [131]

A)
$18=1\cdot12+6$
$12=2\cdot6+0$
$\implies\mathrm{gcd}(12,18)=6$

b)
$201=1\cdot111+90$
$111=1\cdot90+21$
$90=4\cdot21+6$
$21=3\cdot6+3$
$6=2\cdot3+0$
$\implies\mathrm{gcd}(111,201)=3$

c)
$1331=1\cdot1001+330$
$1001=3\cdot330+11$
$330=30\cdot11+0$
$\implies\mathrm{gcd}(1001,1331)=11$

d)
$54321=4\cdot12345+4941$
$12345=2\cdot4941+2463$
$4941=2\cdot2463+15$
$2463=164\cdot15+3$
$15=5\cdot3+0$
$\implies\mathrm{gcd}(12345,54321)=3$

e)
$5040=5\cdot1000+40$
$1000=25\cdot40+0$
$\implies\mathrm{gcd}(1000,5040)=40$

f)
$9888=1\cdot6060+3828$
$6060=1\cdot3828+2232$
$3828=1\cdot2232+1596$
$2232=1\cdot1596+636$
$1596=2\cdot636+324$
$636=1\cdot324+312$
$324=1\cdot312+12$
$312=26\cdot12+0$
$\implies\mathrm{gcd}(9888,6060)=12$

8 0

3 years ago

Round<br> 38.86 to 1 decimal place

Sonbull [250]

38.9 is the answer. because it is rounded to the nearest tenth.

5 0

3 years ago

Read 2 more answers