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fiasKO [112]
3 years ago
14

Lyla and Gio are packing boxes for a food drive. Lyla packs 20.5 boxes per hour. After 2 hours, Gio has packed 10.3 more boxes t

han Lyla, but wants to know how many total he has packed in 2 hours. His work is shown below.
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

51.3 BOXES  


BECAUSE you do 20.5 times 2 to get lyla boxes then you do plus 10.3 because gio fot more than that and 51.3 is the number of boxes he packed since you add 41 which was lyla and then add 10.3 which is gio

Step-by-step explanation:


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Instructions : state what additional information is required in order to know that the triangles in the image below are congruen
Travka [436]

Answer:

∠ACB ≅ ∠AGB

Step-by-step explanation:

AAS Postulate is angle-angle-side, which means that both triangles are congruent if 2 angles and a side are congruent.

7 0
3 years ago
Determine the equation of the altitude from A.
Rudik [331]

Answer:

y = - 3x + 11

Step-by-step explanation:

the altitude is a line from the vertex A drawn perpendicular to the opposite side BC

calculate the slope of BC using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = B (- 7, 3 ) and (x₂, y₂ ) = C (- 1, 5 )

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given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = - 3x + c ← is the partial equation

to find c substitute A (4, - 1 ) into the partial equation

- 1 = - 12 + c ⇒ c = - 1 + 12 = 11

y = - 3x + 11 ← equation of altitude from A

7 0
2 years ago
Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%.
coldgirl [10]
\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.03)(5)\implies \boxed{I=180}\\\\
-------------------------------

\bf ~~~~~~ \textit{Simple Interest Earned increased by 1\%}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.04)(5)\implies \boxed{I =240}\\\\
-------------------------------

\bf ~~~~~~ \textit{Simple Interest Earned increased by 1 year}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &6
\end{cases}
\\\\\\
I=1200(0.03)(6)\implies \boxed{I =216}
8 0
4 years ago
PLEASE HELP THIS IS TIMED
KatRina [158]

Answer:The answer is CCCCCCCCTheCCCC

Step-by-step explanation:

4 0
2 years ago
I need the steps and answers please
katrin [286]

Step-by-step explanation:

3(2x - 5) = 6(x + 3)

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6x - 15 = 6x + 18

- 15 = 18

= x∈\O

3 0
3 years ago
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