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goblinko [34]
3 years ago
8

Leo is three times older than mark. If the sum of their age is 32, how old is Leo

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer: Leo is 24 years old,

Step-by-step explanation:

Let 'x' denotes the age of Mark.

Given ,  Leo is three times older than Mark.

i.e. Expression for Leo's age = 3x

Since , sum of their age is 32, then

x+3x=32\\\\\Rightarrow\ 4x=32

Now , divide both sides by 4 to get the value of x.

x=\dfrac{32}{4}\Rightarrow x=8

Thus , Age of Mark =  8 years

Age of Leo = 3 (8) = 24 years

Therefore , Leo is 24 years old.

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find two consecutive integers such that ten more than twice the smaller is seven less than three times the larger
Radda [10]
This is how I would work it out:

1st no. = x+1                 2x+10=3(x+1)-7
2nd no. = x                    2x+10=3x-4
                                              x=14   

1st no. is 15; 2nd no. is 14 

To check: 28+10=38; three times the larger is 45; and 38 is 7 less than 45.


6 0
3 years ago
Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit? f(x + 1) =
xz_007 [3.2K]
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:

<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1 

Therefore, the correct answer is the last option.</span>
5 0
3 years ago
I need help on this problem. I got half of it right but I don’t know how I got the last answer wrong... Can anyone please help m
morpeh [17]
I got the same answer as you. Try to ask your teacher about it since it’s a math problem online or something.
8 0
3 years ago
Una pared rectangular tiene un perímetro de 48 metros. El largo de la pared es el doble del ancho. ¿Cuántos metros cuadrados de
AveGali [126]
Datos:
Perímetro = 48m
Ancho = x
Largo = 2x
Área = (2x)(x)

Ecuación:
2x + 4x = 48
6x = 48
x = 48/6
x = 8

Sustitución:
Área = [2(8)](8)
Área = (16)(8)
Área = 128

Respuesta: Se necesitarán 128 metros cuadrados de papel decorativo
4 0
3 years ago
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed
OlgaM077 [116]

Answer:

Test is Left tailed test

Parameter tested is standard deviation

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0: σ = 8.6

Alternative hypothesis; H1: σ < 8.6

Where;σ is a constant generally known in statistics as the standard deviation.

Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.

Alternative hypothesis says σ < 8.6.

This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.

Thus, it's a left tailed test

3 0
3 years ago
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