Answer:
x = 11
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the second
x+2 is the third
x+3 is the 4th
The sum is 50
x+ x+1 + x+2 + x+3 = 50
Combine like terms
4x+6 = 50
Subtract 6 from each side
4x+6-6 = 50-6
4x = 44
Divide each side by 4
4x/4 = 44/4
x = 11
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
2
2
+
6
+
4
=
0
2x^{2}+6x+4=0
2x2+6x+4=0
=
2
a={\color{#c92786}{2}}
a=2
=
6
b={\color{#e8710a}{6}}
b=6
=
4
c={\color{#129eaf}{4}}
c=4
=
−
6
±
6
2
−
4
⋅
2
⋅
4
√
2
⋅
2
x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}
x=2⋅2−6±62−4⋅2⋅4
brainliest and follow and thanks
Answer:
87/56
Step-by-step explanation:
Simplify the following:
3/56 + 3/2
Put 3/56 + 3/2 over the common denominator 56. 3/56 + 3/2 = 3/56 + (28×3)/56:
3/56 + (28×3)/56
28×3 = 84:
3/56 + 84/56
3/56 + 84/56 = (3 + 84)/56:
(3 + 84)/56
3 + 84 = 87:
Answer: 87/56
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches
