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Dvinal [7]
2 years ago
6

Solve for t.......

"TexFormula1" title="4 (t + \cfrac{1}{4} \: ) = 3" alt="4 (t + \cfrac{1}{4} \: ) = 3" align="absmiddle" class="latex-formula">​
Mathematics
2 answers:
Bingel [31]2 years ago
7 0

Answer:

t = \cfrac{1}{2}

Step-by-step explanation:

Given equation:

4(t+\cfrac{1}{4})=3

Divide both sides by 4:

t+\cfrac{1}{4}=\cfrac{3}{4}

Subtract 1/4 from both sides:

t = \cfrac{3}{4}- \cfrac{1}{4}

t = \cfrac{2}{4}

Simplify:

t = \cfrac{1}{2}

Soloha48 [4]2 years ago
7 0

Answer:

t =  \frac{1}{2}

Step-by-step explanation:

4(t +  \frac{1}{4} ) = 3

Divid the whole equation by 4.

\frac{4(t +  \frac{1}{4} )}{4} =  \frac{3}{4}

(t +  \frac{1}{4} ) =  \frac{3}{4}

t +  \frac{1}{4}  =  \frac{3}{4}

Take 1/4 to right side.

t =  \frac{ 3}{4} -  \frac{1}{4}

t=  \frac{2}{4}

To simplify the answer more divide the numerator and denominator by 2.

t =  \frac{1}{2}

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3 years ago
a shop sell 200 chocolate ; vanilla and strawberry ice cream 45% of the ice cream sold are vanilla and 35% are strawberry. how m
Oksanka [162]

The number of chocolate ice creams sold is 50.

<h3>How many chocolate ice creams are sold?​</h3>

There exist three kinds of flavors.

45% of the ice creams exist as vanilla

30% of the ice creams exist as strawberry

x percent of the ice creams exist chocolate

The total amount of ice cream exists 200 which equals 100%.

Therefore,

45% + 30% + x = 100%

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

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The number of chocolate ice creams sold is 50.

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6 0
2 years ago
What is 5/8 divided by 1/4
Llana [10]

Answer:

Exact form: 5/2

Decimal form: 2.5

Mixed number form: 2 and 1/2

Step-by-step explanation:

when you divide a fraction you keep, change, flip

Equation: 5/8 ÷ 1/4

keep 5/8 the same

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then just multiply across

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6 0
3 years ago
Hi please help and show how you got to your answer! Thank you
Phoenix [80]

Answer: PQ=15

Step-by-step explanation:

XY=(PQ+SR)/2

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PQ=15

4 0
2 years ago
Please answer correctly !!!!!!!!! Will<br> Mark brainliest !!!!!!!!!!!!!
il63 [147K]

Answer:

x=-\frac{-20+\sqrt{-20w+3600}}{10},\:x=-\frac{-20-\sqrt{-20w+3600}}{10}

Step-by-step explanation:

w=-5\left(x-8\right)\left(x+4\right)\\\mathrm{Expand\:}-5\left(x-8\right)\left(x+4\right):\quad -5x^2+20x+160\\w=-5x^2+20x+160\\Switch\:sides\\-5x^2+20x+160=w\\\mathrm{Subtract\:}w\mathrm{\:from\:both\:sides}\\-5x^2+20x+160-w=w-w\\Simplify\\-5x^2+20x+160-w=0\\Solve\:with\:the\:quadratic\:formula\\\mathrm{Quadratic\:Equation\:Formula:}\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=-5,\:b=20,\:c=160-w:\quad x_{1,\:2}=\frac{-20\pm \sqrt{20^2-4\left(-5\right)\left(160-w\right)}}{2\left(-5\right)}\\x=\frac{-20+\sqrt{20^2-4\left(-5\right)\left(160-w\right)}}{2\left(-5\right)}:\quad -\frac{-20+\sqrt{-20w+3600}}{10}\\x=\frac{-20-\sqrt{20^2-4\left(-5\right)\left(160-w\right)}}{2\left(-5\right)}:\quad -\frac{-20-\sqrt{-20w+3600}}{10}\\The\:solutions\:to\:the\:quadratic\:equation\:are\\x=-\frac{-20+\sqrt{-20w+3600}}{10},\:x=-\frac{-20-\sqrt{-20w+3600}}{10}

6 0
3 years ago
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