Answer:
Emilia bought 28 sweets
Step-by-step explanation:
now they have 65, but before they had 65-15+10 because earlier, zakiah had ten more sweets than now and Emilia had 15 less, so basically, if you wanna calculate number of sweets they had earlier, you have to make minus from plus and in reverse too.
65-15+10=60 and now just do that simply ratio
E:Z=7:8
E+Z=7x+8x
60=15x
4=x
7x=28=Emilia
8x=32=Zakiah
Accuracy test:
(28+15)+(32-10)=65
28 is 4•7 and 32 is 4•8
Answer:
6x + 2y =5
y + 3x= 2
Step-by-step explanation:
In the given figure, we are given with two lines which are parallel to each other. We are also given with two lines which forms a triangle and also forms as a transversal lines to the parallel lines. We are also given that the given triangle is an isosceles triangle. So, we can say that the other angle in the triangle also measures 75°.
Now, let's find the value of the ∠x.
We know that the alternate angles in the parallel line always measures the same as the one which is in it's alternate side. So,
Now, let's find the value of the ∠z.
We know that, all the angles in a triangle always adds up to 180°. In the given triangle, we are given with two angles, so we can easily find the third angle.
Now, let's find the value of the ∠y.
We know that all the angles that forms a straight line always equals up to 180° (or) the the straight line angle always measures 180°. So, we can find the value of the ∠y by this concept.
Therefore,
- The value of the ∠x is 75°.
- The value of the ∠y is 75°.
- The value of the ∠z is 30°.
Answer:
62.5%
Step-by-step explanation:
In this case we have the information we need to calculate the percentage because they give us the necessary experimental probability, we only have to pass the probability to its percentage form.
We know that probability can be converted to a percentage by multiplying the value of probability by 100, like so:
5/8 * 100 = 62.5
In other words, the probability that it will arrive at that time is 62.5%
Answer:
$265.07
Step-by-step explanation:
The formula for the future value of an annuity is applicable.
A = P((1+r)^n-1)/r . . . . where r is the monthly interest rate and n is the number of months. P is the monthly payment, and A is the amount of the future value.
800 = P(1.006^3 -1)/(.006) = 3.018036P
P = 800/3.018036 ≈ 265.07
Sarafina's monthly payments need to be $265.07.
_____
This is about $1.60 less than the 266.67 she would deposit if she simply divided the desired balance by the number of months.
Because this number is rounded down, Sarafina will have a balance after 3 months of $799.99.
