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2 years ago

Jaylen is making pancakes. He has 1 liter of pancake mixture. If Jaylen is using

Mathematics

1 answer:

PtichkaEL [24]2 years ago

4 0

He can make 4 pancakes with the whole mixture.

Step-by-step explanation:

It is given that,

Jaylen has a total of pancake mixture = 1 liter.

The amount of pancake mixture he uses to make 1 pancake = 1/4 liter.

You need to find the number of pancakes he can make using the 1 liter of pancake mixture.

To find the number of pancakes :

let us take 'N' be the number of pancakes he can make using 1 liter of mixture.

⇒ Total mixture = amount of mixture needed for 1 pancake × N

⇒ 1 liter = 1/4 liter × N

⇒ 1 = N/4

Cross multiply the denominator 4 to the other side, to find N

⇒ 1 × 4 = N

⇒ N = 4 pancakes

Therefore, he can make 4 pancakes with the whole mixture.

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Drag each expression to show whether it is equivalent to −1.3x−(−8.9x), −1.3x+(−8.9x), or neither.

Nadusha1986 [10]

Answer:

Neither

Step-by-step explanation:

−1.3x−(−8.9x) = −1.3x + 8.9x = 7.6x

−1.3x+(−8.9x) = −1.3x −8.9x = -10.2x

Answer: Neither

3 0

2 years ago

"Write two equations: one parallel, one perpendicular to (5,-2) y= 1/5x-3

guajiro [1.7K]

Answer:

For parallel:

gradient is 1/5

$y = mx + c$

consider (5, -2):

$- 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3$

${ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}$

For perpendicular:

gradient, m1:

$m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5$

gradient = -5

$y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23$

${ \boxed{ \bf{equation :y = - 5x + 23 }}}$

7 0

2 years ago

Read 2 more answers

Which are the solutions of x2 = –5x + 8?

Nostrana [21]

Answer:

As exact answers:

$x=\frac{-5-\sqrt{57} }{2}$ and $x=\frac{-5+\sqrt{57} }{2}$

As decimal answers:

x = -6.2749172 ≈-6.3

x = 1.27491722 ≈ 1.3

Step-by-step explanation:

For quadratic equations, you can use the quadratic formula. Rearrange the equation to standard from, which is ax² + bx + c = 0.

x² = –5x + 8

x² + 5x - 8 = 0

State the values for "a", "b" and "c",

a = 1; b = 5; c = -8

$x=\frac{-b±\sqrt{b^{2}-4ac} }{2a}$ (Ignore the Â, it's a formatting error)

$x=\frac{-5±\sqrt{5^{2}-4(1)(-8)} }{2(1)}$ Simplify

$x=\frac{-5±\sqrt{25-(-32)} }{2}$ Two negatives make a positive

$x=\frac{-5±\sqrt{57} }{2}$

Split the equation at the ± for plus and minus:

$x=\frac{-5+\sqrt{57} }{2}$ = 1.27491722 ≈ 1.3

$x=\frac{-5-\sqrt{57} }{2}$ = -6.2749172 ≈ -6.3

Therefore the solutions are 1.3 and -6.3.

6 0

2 years ago

Everyday,Tobys burrito stand uses 3 bags of tortillas, for how many days will2/3 of a bag of tortillas last

Ulleksa [173]

Set up a ratio.
3 bags/1 day = 2/3 bag/x day
Cross multiply to solve.
3x=2/3
So x=2/3(1/3)=2/9 of a day

8 0

3 years ago

Read 2 more answers

Let f(x) = 5x3 + 3x2 – 3 and g(x) = x2 + X - 5, fin<br> 4) f(x) + g(x)

aleksley [76]

Answer:

$f(x)+g(x)=5x^{3} +4x^{2}+x-8$

Step-by-step explanation:

Given:

Two functions are given:

$f(x)=5x^{3} +3x^{2} -3$

$g(x)=x^{2} +x-5$

Find $f(x)+g(x)$

Solution:

$f(x)+g(x)=(5x^{3} +3x^{2} -3)+(x^{2} +x-5)$

$f(x)+g(x)=5x^{3} +3x^{2} -3+x^{2} +x-5$

$f(x)+g(x)=5x^{3} +(3x^{2} +x^{2})+x-3-5$

$f(x)+g(x)=5x^{3} +4x^{2}+x-8$

Therefore, the function of $f(x)+g(x)=5x^{3} +4x^{2}+x-8$

6 0

2 years ago