Answer:
Answer:
\{ {{20x+30y=280} \atop {y=4x}} .{
y=4x
20x+30y=280
.
Where xx is the number of small boxes sent and yy is the number of large boxes sent.
Step-by-step explanation:
Let be xx the number of small boxes sent and yy the number of large boxes sent.
Since each small box can hold 20 books (20x20x ), each large box can hold 30 books (30y30y )and altogether can hold a total of 280 books, we can write the following equation to represent this:
20x+30y=28020x+30y=280
According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:
y=4xy=4x
Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is:
\{ {{20x+30y=280} \atop {y=4x}} .{
y=4x
20x+30y=280
.
Answer with explanation:
The equation is
5 x-2 =8
Adding 2 on both sides
→5 x-2+2=8+2
→5 x=10
Dividing both sides by,5, we get
→x=2
Using the concept of Logarithms
![1.\log_{a}b=\frac{\log b}{\log a}\\\\2.\log ab=\log a +\log b\\\\\rightarrow \log_{10}{5 x}=\log_{10} 10\\\\\rightarrow \log_{10}5+\log_{10} x=1\\\\0.698+\log_{10} x=1\\\\\log_{10} x=1-0.698\\\\ \frac{\log x}{\log 10}=0.302\\\\ \log x=(\log 10^{0.302})\\\\ \log x=\log 2.044\\\\x=2.004472](https://tex.z-dn.net/?f=1.%5Clog_%7Ba%7Db%3D%5Cfrac%7B%5Clog%20b%7D%7B%5Clog%20a%7D%5C%5C%5C%5C2.%5Clog%20ab%3D%5Clog%20a%20%2B%5Clog%20b%5C%5C%5C%5C%5Crightarrow%20%5Clog_%7B10%7D%7B5%20x%7D%3D%5Clog_%7B10%7D%2010%5C%5C%5C%5C%5Crightarrow%20%5Clog_%7B10%7D5%2B%5Clog_%7B10%7D%20x%3D1%5C%5C%5C%5C0.698%2B%5Clog_%7B10%7D%20x%3D1%5C%5C%5C%5C%5Clog_%7B10%7D%20x%3D1-0.698%5C%5C%5C%5C%20%5Cfrac%7B%5Clog%20x%7D%7B%5Clog%2010%7D%3D0.302%5C%5C%5C%5C%20%5Clog%20x%3D%28%5Clog%2010%5E%7B0.302%7D%29%5C%5C%5C%5C%20%5Clog%20x%3D%5Clog%202.044%5C%5C%5C%5Cx%3D2.004472)
Gives, x=2.005 (Approx)
Round all the numbers and then add them then divide them by 3 hope this helps
23% of 115....turn percent to decimal by dividing by 100..."of " means multiply
0.23(115) = 26.45....so Joanne spent 26.45 on the shirt.
Answer:
Step-by-step explanation:
10y2 - 17y + 12 = y + 16
10y2 - 17y + 12 - 16 = y
10y2 - 17y - 4 = y
10y2 -17y - y -4 = 0
10y2 -16y - 4 = 0
Now put formula
x = -b +- (square root) b2 - 4ac
2a
a = 10 b= -16 c= -4
y = -(-16) +- (square root) -16 - 4 (10) (-4)
2(10)
y = 16 +- (square root) -16 - 400
20
y = 16 +- (square root) -416
20
y = 16 +- 20.396
20
Now this +- is the plus minus thingy in which two answers come
The first we will do is +
16 + 20.396 16 - 20.396
20 20
= 1.8198 = -0.2198