Answer:
Step-by-step explanation:
A value that is 9.75 less than p can be represented by the expression ...
p - 9.75
We are told that value is equal to 64, so the equation is ...
64 = p - 9.75
__
This equation is solved by adding 9.75 to both sides.
64 +9.75 = p -9.75 +9.75
73.75 = p
The store price is $73.75.
Answer:
y = 1.1
Step-by-step explanation:
Proportion is a statement that two ratios are equal.
It can be written in two ways:
- Two equal fractions
=
- Two equal sides a: b = c: d.
We can use cross products to find a missing term in it.
Let us solve the question
∵ The proportion statement is
= 
→ Use the cross multiplication to find y
∵ y × 15.4 = 7.7 × 2.2
∴ 15.4y = 16.94
→ Divide both sides by 15.4 to find y
∵
= 
∴ y = 1.1
<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>
namely, how many times does 3/4 go into 3½? Let's firstly convert the mixed fraction to improper fraction.
![\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{2}\div \cfrac{3}{4}\implies \cfrac{7}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{3}\implies \cfrac{14}{3}\implies 4\frac{2}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B7%7D%7B2%7D%5Cdiv%20%5Ccfrac%7B3%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B7%7D%7B~~%5Cbegin%7Bmatrix%7D%202%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%5Ccdot%20%5Ccfrac%7B%5Cstackrel%7B2%7D%7B~~%5Cbegin%7Bmatrix%7D%204%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B14%7D%7B3%7D%5Cimplies%204%5Cfrac%7B2%7D%7B3%7D)
Answer:


And we got finally:

And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
Step-by-step explanation:
For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft
We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:


And we got finally:

And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
Answer:
y= 34/23
x= 123/46
Step-by-step explanation:
Solve for x
8x-5y= 14
x= 14/8 +5/8y
Sub x into second equation
– 5х+бу = -3
-5(14/8 +5/8y) + 6y= -3
-29/4 +23/8y = -3
y= 34/23
Sub y into any equation and solve for x
8x=483/23
x= 123/46