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wolverine [178]

2 years ago

14

Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?

1 answer:

faust18 [17]2 years ago

8 0

Answer:

589

Step-by-step explanation:

Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?

(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.

(b) Find the difference. Show your work (steps).

(c) Check your answer. Is it reasonable? How do you know? Explain

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-4x + 7 = 2y - 3<br> y-intercept:<br><br> x intercept:

pantera1 [17]

Answer:

x-intercept: $\bigg(\frac{5}{2}, \:0\bigg)$

y-intercept: $(0,\:5)$

Step-by-step explanation:

To find the x-intercept, substitute in $0$ for $y$ and solve for $x$ .

$-4x + 7 = 2y - 3$

$-4x+7=2\left(\bold{0}\right)-3$

Simplify 2(0): $-4x+7=2\cdot \:0-3$

Subtract 0 - 3 = -3: $-4x+7=-3$

Subtract 7 from both sides: $-4x+7-7=-3-7$

Simplify: $-4x=-10$

Divide both sides by -4 $\frac{-4x}{-4}=\frac{-10}{-4}$

$\bold{x=\frac{5}{2}}$

To find the y-intercept, substitute in $0$ for $x$ and solve for $y$ .

$-4x + 7 = 2y - 3$

$-4(\bold{0})+7=2y-3$

Switch sides: $y-3=-4\left(0\right)+7$

Simplify -4(0): $2y-3=-0+7$

Add 3 to both sides: $2y-3+3=7+3$

Simplify: $2y=10$

Divide both sides by 2: $\frac{2y}{2}=\frac{10}{2}$

$\bold{y=5}$

3 0

2 years ago

An observer in a hot air balloon sights a building that is 50 m from the balloon's launch point. The balloon has risen 165 m. Wh

Kaylis [27]

Notice the picture,
recall your SOH, CAH, TOA
$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}$

you have,
opposite side, 165
adjacent side, 50
and the angle

that means, we'll need Mrs. tangent
thus
$\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(\theta)=\cfrac{165}{50}
\\ \quad \\
 tan^{-1}\left[ tan(\theta) \right]=tan^{-1}\left[ \cfrac{165}{50} \right]
\\ \quad \\
\theta=tan^{-1}\left[ \cfrac{165}{50}\right]
\\ \uparrow \\
 \textit{angle of elevation}\iff\textit{angle of depression}$

4 0

3 years ago

The math club is selling gift wrap for a fundraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patt

Alona [7]

They sold 17 rolls. Because:
$4×45= 180
$265-180= 85
85÷5= 17

6 0

2 years ago

The bases of a right prism are parallelograms with length of one of its sides a=8.5 cm and altitude to that side ha = 4 cm. Find

8090 [49]

Volume is given by:
V=(base area)×(height)
base area=bh
where:
b=base=8.5 cm
h=height= 4 cm
thus
base area=8.5×4=34 cm²
Thus the volume will be:
V=34×14
V=476 cm³

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A car dealer sends an email survey to all customers who bought two-door cars. The

Dvinal [7]

Answer: 150, 80

Step-by-step explanation:

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