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kkurt [141]
4 years ago
10

What consecutive numbers have a sum of 133?

Mathematics
1 answer:
grigory [225]4 years ago
4 0
Two consecutive integers mean numbers like 2, 3 or -3, -2. Let x represent the first number. the next consecutive number will be x + 1. The equation becomes:  x + (x + 1) = 133. Solve for x: x + (x + 1) = 133 x + x + 1 = 133 2x + 1 = 133 Subtract 1 from both sides: 2x = 132 Divide both sides by 2: x = 66 x + 1 = 67. Solution: The two consecutive numbers adding up to 133 are 66 and 67.
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For the line y = 2/5x, if the y-coordinate is 20, what is the x-coordinate? A. 5/2 B. 50 C. 125 D. 8
kykrilka [37]
Ok here is how you do this:
you need to replace y with 20 and then solve to find x, i.e. solve this equation
20=2/5x

1. Simplify 2/5x to 2x/5
   20=2x/5

2. Multiply both sides by 5
    20 * 5=2x

3. Simplify 20 * 5 to 100
    100=2x

4. Divide both sides by 2
   100/2=x

5. Simplify 100/2 to 50
     50=x

6. Switch sides
     x=50
so your answer is B. 50
I hope this helped!
5 0
3 years ago
Read 2 more answers
In ΔUVW, the measure of ∠W=90°, WV = 24, UW = 7, and VU = 25. What is the value of the sine of ∠U to the nearest hundredth?
Alika [10]

Answer:

sinU = 0.96

Step-by-step explanation:

sinU = \frac{opposite}{hypotenuse} = \frac{WV}{UV} = \frac{24}{25} = 0.96

7 0
3 years ago
Ahmed doubled his savings, then deposited another hundred dollars. Let s represent the amount he originally had in savings. Whic
kari74 [83]
2s + 100 when s=80 the latest balance of Ahmed's savings is $260

because he doubles his savings you times s by two and then add 100 because he deposited this after.

5 0
3 years ago
Read 2 more answers
Find the greatest solution to the following system of equations. Write as x= ?
grandymaker [24]

Answer:

we have x=1, y=0 and x=-3, y=4

Step-by-step explanation:

We need to solve the equations: y=x^2+x-2 \ and \ y=-x+1

Let:

y=x^2+x-2--eq(1)\\ y=-x+1---eq(2)

Putting value of eq(2) into eq(1)

-x+1=x^2+x-2\\Solving:\\x^2+x-2+x-1=0\\x^2+2x-3=0\\Factorising:\\x^2+3x-x-3=0\\x(x+3)-1(x+3)=0\\(x-1)(x+3)=0\\x-1=0 \ or \ x+3=0\\x=1 \ or \ x=-3

Now finding values of y for x=1 and x=-3

For \ x=1, \\y=-x+1 \\y=-1+1 \\y=0\\For \ x=-3\\ y=-x+1\\y=-(-3)+1 \\y=3+1\\y=4

So, we have x=1, y=0 and x=-3, y=4

8 0
3 years ago
F(x)=|x+1|-1 vertical stretch by a factor of three<br><br> Translated function is g(x)=____
Aleks [24]

The translated function is given by:

g(x) = 3|x + 1| - 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

f(x) = |x + 1| - 1.

For a vertical stretch by a factor of 3, the function is multiplied by 3, hence the translated function is given by:

g(x) = 3f(x) = 3(|x + 1| - 1) = 3|x + 1| - 3.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0
2 years ago
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