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3 years ago

A number increased by 10 is 114

Mathematics

2 answers:

ladessa [460]3 years ago

7 0

Answer:

Step-by-step explanation:

So we want to know which number increased by 10 gives us 114. So we can do this by following this rule where we have two numbers a+b that give us the result, the number c. If we say a is the number we are looking for and b=10 and c=114 then we have: a+10=114. To find the number a we need to put b=10 on the other side and that will change its sign: a=114-10 so we can get a=104 and that is the number we are looking for.

natali 33 [55]3 years ago

4 0

104 + 10 = 114

104 is your answer.

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Find 25% of 116 I don't know the answer

garik1379 [7]

Answer:

Step-by-step explanation:

Let's set up an equation...

25%*116=x

We can first convert 25% to a fraction. We can convert any percentage into a fraction by simply putting the number over 100...

$\frac{25}{100}*116=x$

We can simplify 25/100 by dividing the fraction by 25/25. Note we can only do this because 25/25 is equivalent to 1, therefore meaning we are dividing the fraction by 1.

$\frac{1}{4}*116=x\\\frac{116}{4}=x\\x=29$

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2 years ago

Find the area of the figure. (Sides meet at right angles.)

ikadub [295]

Answer:

44ft^2

Step-by-step explanation:

Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)

3 x 2 = 6 ft^2

since there's two rectangles you end up 6 + 6 so you get 12 ft^2

then 4 x 8 = 32 ft^2

add 32 and 12, get 44 ft^2

8 0

2 years ago

g A coffee-dispensing machine is supposed to deliver eight ounces of liquid into each paper cup, but a consumer believes that th

kap26 [50]

Answer: Reject the eight- ounces claim.

Step-by-step explanation:

For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.

It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.

As per given ,

Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.

Then ,

$H_0: \mu=8\\\\H_a: \mu$ , since alternative hypothesis is left-tailed thus the test is an left-tailed test.

the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.

Clearly , -1.87 < -1.645

⇒ -1.87 falls under rejection region.

⇒ Decision : Reject null hypothesis.

i.e. we reject the eight- ounces claim.

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3 years ago

To earn a fitness award, your average heart rate while walking must be between 80 and 89 beats per minute, inclusive. Suppose yo

Anika [276]

Answer:

Step-by-step explanation:

hope this helps

5 0

3 years ago

Read 2 more answers

How do you solve this?

puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let $x$ represent the width.

Since the length is 7 feet longer, we can represent the length by $x+7$ .

Now that we have our values for the length and the width we can multiply them together to find our area.

$(x)(x+7)=x^{2} +7x$

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

$(x+7)(x+14)$

And multiply our area by 3.

$3(x^{2} +7x)$

set these equal to each other to find your new equation.

$(x+7)(x+14)=3(x^{2} +7x)$

Now you need to solve for $x$ . To do this first muliply $(x+7)$ and $(x+14)$ .

$(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98$

Then multiply $3(x^{2} +7x)$

$3(x^{2} +7x)=\\3x^{2} +21x$

Now you can begin solving for $x$ .

$x^{2} +21x+98=3x^{2} +21x$

Subtract $x^{2}$ from both sides.

$21x+98=2x^{2} +21x$

Subtract $21x$ from both sides.

$98=2x^{2}$

Divide by 2.

$49=x^{2}$

And finally take the sqaure root of both sides.

$\sqrt{x^{2} }=\sqrt{49}\\x=7$

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 and -7, in this case we only get +7.

Now that we have the value of $x$ , we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0

3 years ago