Beatrice has $144.50 in savings and Anne has $173.40 in savings.
To solve this problem, let's assume Beatrice has x dollars in savings. Since Anne has $28.90 more savings than Beatrice, Anne's savings can be represented as (x + 28.90) dollars.
We are also given that 3/5 of Beatrice's savings is the same as 1/2 of Anne's savings. We can write this as:
(3/5)x = (1/2)(x + 28.90)
To solve the equation, we can cross multiply and simplify:
2(3/5)x = x + 28.90
6/5x = x + 28.90
6x = 5x + (5 * 28.90)
6x - 5x = 144.50
x = 144.50
Therefore, Beatrice has $144.50 in savings and Anne has (144.50 + 28.90) = $173.40 in savings.
#SPJ2
Answer:
6 times
Explanation:
1- getting the number of times required for one loaf:
We know that:
The loaf requires 0.75 of a cup of sugar
The cup can hold 0.25 cup of sugar
To know the number of times required to get the needed amount, we will simply do cross multiplication as follows:
1 time ................> 0.25 of a cup
?? times ..........> 0.75 of a cup
Number of times for one loaf = = 3 times
2- getting the number of times required for two loaves:
We have calculated that one loaf requires filling the measuring cup 3 times, this means that:
2 loaves would require filling the cup 2*3 = 6 times
Hope this helps :)
b {(0, 0), (1, 2), (2, 6), (2, 8)}
c {(0, 0), (0, 2), (2, 0), (2, 4)}
d {(0, 2), (1, 4), (2, 6), (3, 6)}
Answer:
It is D. because no numbers repeat on the x-value which makes it okay.
Correct me if I am wrong
Answer:
the standard form of a quadratic equation is ax² + bx + c
the vertex form is a(x - h) + k where h & k are the x and y coordinates
to get from standard form to vertex form, you would have to follow this formula to find h:
-b/2a
plug in the values, and you will get the value of h.
to get k, you plug in the value you have just found in the above formula into the original equation, and that is the value of k.
the a in the vertex form is the value of a in the standard form
so an example of this would be: x² + 2x + 4 where a = 1, b = 2 c = 4
to get this into vertex form we will use the formula -b/2a and solve:
-2/2(1) --> -2/2 = -1
now we plug in the value we found into the original equation wherever x is
(-1)² + 2(-1) + 4 --> 1 - 2 + 4 = 3
we have both h and k, and we will put this into vertex form:
a(x - h)² + k turns into ---> (x + 1)² + 3
why x+1 and not x-1? the original equation has a negative sign, and the result we have is negative. this conflicts with the original equation and is therefore turned into a positive 1
where did a go? since a = 1, we do not need to write it, if a was equal to 2 then we would write the 2 in front