<u>Answer:</u>
The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter
<u>Explanation</u>:
Consider the number of cup of flour used to be x
According to question,
Recipe calls for 1.5 times as much flour as sugar
Sugar =
Sugar = 1.5x
Butter = ½ x = 0.5x
According to question,
Flour + Sugar + Butter = 7.5
x + 1.5x + 0.5x = 7.5
3x = 7.5
x = 2.5
Sugar = 1.5x = 1.5(2.5) = 3.75
Butter = 0.5(2.5) = 1.25
Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter
Answer:
-6
Step-by-step explanation:
1) combine all like terms
(bring 3q to the left and 11 to the right so you can combine the like terms)
(doing that will make 3q negative and 11 negative since your moving them so their sign changes as well)
8q-3q=-19-11
5q=-30
Q=-6
Hope this helps
<span>We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
</span>On September 22, the sun’s rays form a 90° angle at noon at the equator.
Formula for calculating noon sun angle is:
Noon_sun_angle = 90° - Zenith angle
We have complementary angles so we need to substract zenith angle from 90°.
The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.
New Orleans, USA
Latitude = 30°
Noon_sun_angle = 90° - 30° = 60°
Helsinki, Finland
Latitude = 60°
Noon_sun_angle = 90° - 60° = 30°
Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
and solve for a. Filling in:
which simplifies a bit to
and a bit more to
. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is
