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Tamiku [17]
3 years ago
13

After a month of successful fundraising, Hansen and his classmates voted on whether to donate the money they had raised to hunge

r relief or to environmental causes. Out of 35 votes, 28 were for hunger relief. What percentage of the votes were for hunger relief​
Mathematics
1 answer:
VMariaS [17]3 years ago
6 0
80%
Step-by-step explanation:
Votes: 24 were for hunger relief and 6 were for environmental causes. There were 24 + 6 = 30 votes in total.
Thus,
30 votes - 100%,
24 voyes - x%.
Mathematically, you can write a proportion:
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Area of a rectangle is 540 sq m. If the length was reduced by 5m and the width was increased by 5m, the are of the rectangle wil
wlad13 [49]

l-length\\w-width\\\\\text{The formula of an area of a rectangle:}\ V=lw\\\\\text{We have the area}\ 540\ m^2\to lw=540\\\\\text{New rectangle}\\\\l-5-length\\w+5-width\\\\\text{We have the area}\ 540\ m^2+35\ m^2=575\ m^2\to (l-5)(w+5)=575\\\\\text{Therefore we have the system of equation:}\\\\\left\{\begin{array}{ccc}lw=540&\to w=\dfrac{540}{l}&(*)\\(l-5)(w+5)=575&&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**)

(l-5)\left(\dfrac{540}{l}+5\right)=575\qquad\text{use distributive property}\\\\(l)\left(\dfrac{540}{l}\right)+(5)(l)-(5)\left(\dfrac{540}{l}\right)-(5)(5)=575\\\\540+5l-\dfrac{2700}{l}-25=575\\\\515+5l-\dfrac{2700}{l}=575\qquad\text{subtract 575 from both sides}\\\\-60+5l-\dfrac{2700}{l}=0\qquad\text{multiply both sides by }\ l\neq0\\\\-60l+5l^2-2700=0\\\\5l^2-60l-2700=0\qquad\text{divide both sides by 5}\\\\l^2-12l-540=0\\\\l^2+30l-18l-540=0\\\\l(l+30)-18(l+30)=0\\\\(l+30)(l-18)=0\iff l+30=0\ \vee\ l-18=0\\\\l=-30

\text{Substitute the value of}\ l\ \text{to}\ (*):\\\\w=\dfrac{540}{18}\\\\\boxed{w=30\ cm}

Answer:\ \boxed{length=18\ cm,\ width=30\ cm}

3 0
3 years ago
7 + 2y^2<br><br> Evaluate the expression for <br> Y = 5.<br><br><br> Please help me
garik1379 [7]

Answer:

107

Step-by-step explanation:

We first need to input the values of the variables.

7 + 2 x 5^2

7+10^2

7+100 = 107

4 0
3 years ago
Lana took one and a half times as long as jayden to finish a project. If lana took 15 days how long did jayden took
maxonik [38]
Let x represent how many days it took jayden to finish 

15/1.5=10
3 0
4 years ago
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what is thw slope intercept form of the equation of a line with a slope if 5 and a y intercept of - 8
netineya [11]
Y=mx+bm=slope
b=y intercept
y=5x-8
3 0
3 years ago
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The graph of the function f(x) is shown below. State all values of in the open
lara31 [8.8K]

Answer:

x=-5

Step-by-step explanation:

(x=0 is a removable discontinuity and x=6 is an infinite discontinuity)

at x=-5 the limit from the left and right are not equal to one another

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3 years ago
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