Answer:
k=-1/5
Step-by-step explanation:
Factor and set each factor equal to zero.
Add 3 to both sides of the equation.
75k^2+30k+3=0
Factor 3 out of 75k^2+30k+3.
Factor using the perfect square rule.
Divide each term by 3 and simplify.
Set the 5k+1 equal to 0.
Solve for k.
Answer:
We just multiply 75 with 3 to make it a perfect square. This is because, 75 = 5 × 5 × 3. 3 doesn't have a pair. Thus 75 × 3 = 225 and √225 is 15.
Step-by-step explanation:
Answer:
the number of cakes sell is 5
Step-by-step explanation:
The computation of the number of cakes sold is shown below;
Let us assume
The cake be C
And, the pie cost be P
Given that
There is two types of baked goods sold
The cost of the cake is $4
And, the cost of the pie cost is $64
Now the store sold 9 baked goods for a total of $44
So, the equation would be
C + P = 9
P = 9 - C ...... (1)
4C + 6P = 44............(2)
Now put the value of P in equation 2
4C + 6(9 - C) = 44
4C + 54 - 6C = 44
-2C = -10
C = 5
And, P = 4
hence, the number of cakes sell is 5
Answer:
Option A is correct.
10 square centimeters.
Step-by-step explanation:
Complete Question
The complete Question is attached in the first attached image.
Lydia cut out her initial from a piece of construction paper. How many square centimeters of construction paper are used to make Lydia's initial?
A) 10 square centimeters
B) 11 square centimeters
C) 15 square centimeters
D) 22 square centimeters
Solution
From the second attached image, it is evident that we can split the L-shaped figure into two rectangles of dimensions (3 cm by 1 cm) and (7 cm by 1 cm)
The total area of the figure is thus
(3 × 1) + (7 × 1) = 10 cm²
Hope this Helps!!!
well, we know the ceiling is 6+2/3 high, and Eduardo has 4+1/2 yards only, how much more does he need, well, is simply their difference, let's firstly convert the mixed fractions to improper fractions and then subtract.
![\stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}} ~\hfill \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{20}{3}-\cfrac{9}{2}\implies \stackrel{using ~~\stackrel{LCD}{6}}{\cfrac{(2\cdot 20)-(3\cdot 9)}{6}}\implies \cfrac{40-27}{6}\implies \cfrac{13}{6}\implies\blacktriangleright 2\frac{1}{6} \blacktriangleleft](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B20%7D%7B3%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B20%7D%7B3%7D-%5Ccfrac%7B9%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Busing%20~~%5Cstackrel%7BLCD%7D%7B6%7D%7D%7B%5Ccfrac%7B%282%5Ccdot%2020%29-%283%5Ccdot%209%29%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B40-27%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B13%7D%7B6%7D%5Cimplies%5Cblacktriangleright%202%5Cfrac%7B1%7D%7B6%7D%20%5Cblacktriangleleft)