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3 years ago

What is a solution to (x + 6)(x + 2) = 60?O x = -6O x=-4O x= 4O x = 12

Mathematics

1 answer:

Tanzania [10]3 years ago

3 0

Answer:

x=4

Step-by-step explanation:

Can't be first because it would be the equation 0(-4) which would equal 0

Can't be last because numbers would be too big

Can't be x=-4 because numbers would be too low

Has to be x=4 because:

(4+6)(4+2)=60

10x6=60

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a chef uses 4 3/4 cups of broth for 10 servings of soup.how much broth is is one serving . let x represent amount. 4 3/4/10 =x/1

enyata [817]

Let's firstly convert the mixed fraction to "improper" and then proceed,

$\bf \begin{array}{ccll}
\stackrel{broth}{cups}&servings\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4\frac{3}{4}&10\\\\
x&1
\end{array}\implies \cfrac{\quad \stackrel{mixed}{4\frac{3}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{4\cdot 4+3}{4}\quad }{x}=\cfrac{10}{1}$

$\bf \cfrac{\quad \stackrel{improper}{\frac{19}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{19}{4}\quad }{\frac{x}{1}}=\cfrac{10}{1}\implies \cfrac{19}{4}\cdot \cfrac{1}{x}=\cfrac{10}{1}\implies \cfrac{19}{4x}=\cfrac{10}{1}
\\\\\\
19=40x\implies \cfrac{19}{40}=x$

6 0

4 years ago

Write the expanded form of the expression 5(2x-8)

Nuetrik [128]

Answer:

10x-40

Step-by-step explanation:

ejeje. djdjdis disks said s

3 0

3 years ago

A video game uses the quadratic equation h equals space minus 16 t to the power of 2 space end exponent plus space 64 t space pl

stellarik [79]

Answer:

Step-by-step explanation:

Given

h varies as

$h=-16t^2+64t+190$

Above h represents the height of object at any instant t

For example at t=0

h=190 ft

At t=1 s

h=-16+64+190=238 ft

For maximum height differentiate h w.r.t time

$\frac{\mathrm{d} h}{\mathrm{d} t}=-16\times 2\times t+64$

Put $\frac{\mathrm{d} h}{\mathrm{d} t}=0$ to get maximum height

$-32t+64=0$

t=2 i.e. at t= 2 s h is maximum

h at t=2 s

$h=-16\times 2^2+64\times 2+190=254 m$

7 0

3 years ago

What is Y=6x+8(5-7) what is Y=6x+8(5-7)

LenaWriter [7]

Answer:

x = 8/3

Step-by-step explanation:

Solve for x:

6 x + 8 (5 - 7) = 0

5 - 7 = -2:

6 x + -2 8 = 0

8 (-2) = -16:

6 x + -16 = 0

Add 16 to both sides:

6 x + (16 - 16) = 16

16 - 16 = 0:

6 x = 16

Divide both sides of 6 x = 16 by 6:

(6 x)/6 = 16/6

6/6 = 1:

x = 16/6

The gcd of 16 and 6 is 2, so 16/6 = (2×8)/(2×3) = 2/2×8/3 = 8/3:

Answer: x = 8/3

7 0

3 years ago

I also need help with this

Dimas [21]

Answer:

7 strips

Step-by-step explanation:

One way we can solve this is through guess and check. Let's start with 4 strips. If Joe's grandma makes 4 strips, she will have 0.75*4 = 3.00 yards of fabric. That's a really low amount of fabric. Let's double that to 8, where Joe's grandma would need 0.75*8 = 6.00 yards of fabric. That's really close! Let's remove one strip. 0.75*7 = 5.25 yards of fabric. Perfect! Joe's grandma can cut exactly 7 strips

5 0

3 years ago

What is a solution to (x + 6)(x + 2) = 60?O x = -6O x=-4O x= 4O x = 12​

What is a solution to (x + 6)(x + 2) = 60?O x = -6O x=-4O x= 4O x = 12