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rosijanka [135]
3 years ago
13

Solve this proportion pls

ac{x + 3}{4}" alt="\frac{x + 3}{4}" align="absmiddle" class="latex-formula"> = \frac{7}{8}
Mathematics
2 answers:
emmasim [6.3K]3 years ago
8 0

\bf \cfrac{x+3}{4}=\cfrac{7}{8}\implies 8(x+3)=4(7)\implies 8x+24=28\implies 8x=4 \\\\\\ x=\cfrac{4}{8}\implies x=\cfrac{1}{2}

alexandr402 [8]3 years ago
5 0

Answer:

\large\boxed{x=\dfrac{1}{2}=0.5}

Step-by-step explanation:

\dfrac{x+3}{4}=\dfrac{7}{8}\qquad\text{cross multiply}\\\\8(x+3)=(4)(7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\8x+(8)(3)=28\\\\8x+24=28\qquad\text{subtract 24 from both sides}\\\\8x+24-24=28-24\\\\8x=4\qquad\text{divide both sides by 8}\\\\\dfrac{8x}{8}=\dfrac{4}{8}\\\\x=\dfrac{4:4}{8:4}\\\\x=\dfrac{1}{2}

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n200080 [17]

Answer:

<h3>dn = -7^n-1</h3>

Step-by-step explanation:

Given the sequence -1,-7,-49,-343,....

We are to find the nth term of the sequence

dn = ar^n-1

a is the first term = -1

r is the common ration = -7/-1 = -49/-7 = 7

n is the number of terms

Substitute

dn = -1(7)^n-1

dn = -7^n-1

hence the nth term of the sequence is dn = -7^n-1

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2 years ago
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3 years ago
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Step-by-step explanation:

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