Answer:
Step-by-step explanation:
We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.
Now lets translate the words into algebra:
"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32
"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75
There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:
3s + z = 0.75
-3s -3s
------------ -------------
z = -3s +0.75
Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:
5s + 2(-3s + 0.75) = 1.32
Can you handle it from here?
(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)
Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
Answer:
0.2
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
1.; 3.; 5. are prime numbers.
All others are composite numbers.
Good luck!
Answer:
Apple crisp has 10 grams of sugar per serving.
Greek frozen yogurt has 5grams of sugar per serving.
The recipe with the least amount of sugar per serving is the Greek frozen yogurt.
Step-by-step explanation:
Hi, to answer this question we have to divide the amount of grams of sugar by the number of servings for each case.
Apple crisp: 80 grams ÷8 servings =80 /8 = 10 grams of sugar per serving.
Greek frozen yogurt: 60 grams ÷12 servings =60 /12 = 5 grams of sugar per serving.
So, in conclusion:
Apple crisp has 10 grams of sugar per serving.
Greek frozen yogurt has 5grams of sugar per serving.
The recipe with the least amount of sugar per serving is the Greek frozen yogurt, because 5<10.
