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3 years ago

Fifty-four is ___% of 60. 20 points offered

Mathematics

2 answers:

Oxana [17]3 years ago

8 0

Good evening ,

Answer:

Step-by-step explanation:

60———————>100%

54———————> x%

then x = 54×100÷60 = 90

prisoha [69]3 years ago

4 0

Answer:

54÷60×100= 90%

Step-by-step explanation:

90%

cmon man

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Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-

Lelu [443]

Answer:

The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.

Step-by-step explanation:

It is given that x-intercept is 1 and y-intercept is -2.

Now, the coordinate of the point is (1,0) and (0,-2).

We know that,

Slope = $\dfrac{y_2-y_1}{x_2-x_1}$

$S_1=\dfrac{-2-0}{0-1}$

$S_1 = \dfrac{-2}{-1}$

$S_1=2$

Now, Slope of the graph given

Co-ordinate is (-5,0) and (1,2).

Using the formula of slope

$S_2 = \dfrac{2-0}{1-(-1)}$

$S_2 = \dfrac{2}{1+1}$

$S_2 = \dfrac{2}{2}$

$S_2 =1$

Now, $S_1>S_2$

Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.

7 0

3 years ago

Please solve this question!!

GaryK [48]

Answer: (i) 1/221 (ii) 11/221 (iii) 95/663 (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards → 3/51 = 1/17

1st Draw 2nd Draw Outcome Probability

King: P(K) = 1/13 King: P(K₂/K₁) = 1/17 King, King (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards → 11/51

1st Draw 2nd Draw Outcome Probability

Face: P(F) = 3/13 Face: P(F₂/F₁) = 11/51 Face,Face (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards → 19/51

1st Draw 2nd Draw Outcome Probability

Black: P(B~) = 5/13 Black: P(B~₂/B~₁) = 19/51 B~,B~ (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards → 1/51

1st Draw 2nd Draw Outcome Probability

Ace: P(A) = 1/13 Qh: P(Qh₂/A₁) = 1/51 Ace,Queen(h) (1/13) x (1/51) = 1/663

7 0

4 years ago

What simple interest rate is needed for $6,000 to earn $1,000 in 15 months

Mekhanik [1.2K]

let's recall that a year has 12 months, so 15 months is really 15/12 years.

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$1000\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{15}{12}\dotfill &\frac{5}{4} \end{cases}$

$\bf 1000=(6000)r\left( \cfrac{5}{4} \right)\implies 1000=7500r\implies \cfrac{1000}{7500}=r\implies \cfrac{2}{15}=r \\\\\\ \stackrel{\textit{converting that to a percentage}}{\cfrac{2}{15}\cdot 100 = r\implies \cfrac{40}{3}=r}\implies \stackrel{\%~\hfill }{13.\overline{3}}=r$

4 0

3 years ago

Is h(x)=6 a linear equation, explain

puteri [66]

A linear equation is an equation for a straight line. And yes that is a linear equation. Because it is of the form h(x) = mx + b where m=0 and b = 23 h(x) = mx + 23

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3 years ago

Which of the following does not satisfy the equation x-2=3.5

Sedbober [7]

Answer:

5.5

Step-by-step explanation:

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3 years ago