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ddd [48]
3 years ago
6

Describe how you labeled the bar model and wrote a number sentence to solve.

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0
By answering the question and reading the question
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One car went 10 miles farther when traveling at 50 mph than a second car that traveled 2 hours longer at a speed of 40 mph. How
lesya [120]
<span>times t hours and (t+2) hours) 
d1 = 50 t 
d2 = 40(t+2) 

50 t = 10 + 40(t+2) 

10 t = 90 

t = 9
</span>
5 0
4 years ago
Simplify the one step equation
MAVERICK [17]
X ≤ 40
the answer to the question
5 0
3 years ago
Round 321,327 to the nearest ten thousand​
elena55 [62]
The answer is 320,000 and that’s all
5 0
4 years ago
Student Produced Response - Calculator
faltersainse [42]

Answer:

\dfrac{a}{b}=0.75.

Step-by-step explanation:

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has infinitely many solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

ax+by=10

3x+4y=20

It is given that the above system of equations has infinitely many solutions. So,

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}

Now,

\dfrac{a}{3}=\dfrac{1}{2} and \dfrac{b}{4}=\dfrac{1}{2}

a=\dfrac{3}{2} and b=\dfrac{4}{2}

a=1.5 and b=2

So, a=1.5 and b=2.

Now,

\dfrac{a}{b}=\dfrac{1.5}{2}=0.75

Therefore, \dfrac{a}{b}=0.75.

5 0
4 years ago
Bobby's investment of $225,000 loses value at a rate of 3% per year. Use an exponential function to find the value of the invest
AleksAgata [21]

We have been given that Bobby's investment of $225,000 loses value at a rate of 3% per year. We are asked to find the value of the investment after 10 years.

We will us exponential decay function to solve our given problem.

We know that an exponential function is in form y=a\cdot (1-r)^x, where,

y = Final amount,

a = Initial amount,

r = Decay rate in decimal form,

x = Time.

Let us convert 3% into decimal.

3\%=\frac{3}{100}=0.03

Upon substituting a=\$225,000, r=0.03 and x=10, we will get:

y=\$225,000(1-0.03)^{10}

y=\$225,000(0.97)^{10}

y=\$225,000(0.7374241268949283)

y=\$165,920.4285513588675

Upon rounding to nearest dollar, we will get;

y\approx \$165,920

Therefore, the value of the investment after 10 years would be \$165,920.

5 0
4 years ago
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