All categories

3 years ago

-. Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter

Mathematics

1 answer:

Oksana_A [137]3 years ago

6 0

Answer:

A) 22x-11

B) 121 cupcakes

Step-by-step explanation:

The expression that shows how many peanut butter

cupcakes she baked is 5 (2x-4) + 3(3+4x).

To simplify this, we need to use the distributive property:

We expand using the distributive property to get:

$5(2x - 4) + 3(3 + 4x) = 10x - 20 + 9 + 12x$

We group similar terms on the right to obtain:

$5(2x - 4) + 3(3 + 4x) = 10x + 12x- 20 + 9$

Combine similar terms on the right to get:

$5(2x - 4) + 3(3 + 4x) = 22x-11$

Therefore the simplified expression is

$22x - 11$

B) We want to find how many cupcakes Mrs Jones baked last week, when x=6.

We substitute 6 into the simplified expression for x to get

$22(6) - 11 = 132 - 11 = 121$

Therefore she baked 121 cupcakes last week.

You might be interested in

Things that have an equal chance of happening are known as

solong [7]

Is there any other info to this??

4 0

3 years ago

Which best describes the range of the function f(x) = 2(3)^x?

viva [34]

Answer:

Step-by-step explanation:

If im wrong please correct me.

8 0

3 years ago

Read 2 more answers

Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending past the

nlexa [21]

Answer:

y+z=x

Step-by-step explanation:

we know that

The <u>Exterior Angle Property of a Triangle</u> states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles

In this problem

Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC

therefore

Applying the Exterior Angle Property of a Triangle

y+z=x

4 0

2 years ago

Solving a right triangle (round to the nearest tenth)

Inga [223]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

----------------------------------------------------------------

tan46° = $\frac{opposite}{adjacent}$ = $\frac{b}{23}$

Multiply both sides by 23

23 × tan46° = b, thus

b ≈ 23.8 ( to the nearest tenth )

-----------------------------------------------------------------

cos46° = $\frac{adjacent}{hypotenuse}$ = $\frac{23}{c}$

Multiply both sides by c

c × cos46° = 23 ( divide both sides by cos46° )

c = $\frac{23}{cos46}$ ≈ 33.1 ( to the nearest tenth )

5 0

2 years ago

Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 Explain to Yuri why 3/4 cannot be a root.

k0ka [10]

Answer:

Yuri is not correct.

Step-by-step explanation:

Given expression is q(x) = 6x³ + 19x² - 15x - 28

If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0

Similarly, for x = $\frac{3}{4}$ ,

$q(\frac{3}{4})=6(\frac{3}{4})^3+19(\frac{3}{4})^2-15(\frac{3}{4})-28$

= $6(\frac{27}{64})+19(\frac{9}{16})-15(\frac{3}{4})-28$

= $(\frac{162}{64})+(\frac{171}{16})-(\frac{45}{4})-28$

= $(\frac{162}{64})+(\frac{684}{64})-(\frac{720}{64})-\frac{1792}{64}$

= $-\frac{1666}{64}$

= $-\frac{833}{32}$ ≠ 0

Therefore, Yuri is not correct. x = $\frac{3}{4}$ can not be a root of the given expression.

6 0

3 years ago

Read 2 more answers