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3 years ago

1 point

Mathematics

1 answer:

Olenka [21]3 years ago

7 0

Step-by-step explanation:

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3. Connie bought several types of candy for Halloween: Milky Ways, Tootsie Rolls,

devlian [24]

Answer:

Tootsie Rolls = 13

Step-by-step explanation:

Given:

Milky Ways and Tootsie Rolls together were 15 more than the number of Reese's Cups.

There were 4 fewer Reese's Cups than Hershey Bars.

There were 12 Milky Ways and 14 Hershey Bars.

Solution

Milky Ways and Tootsie Rolls = Reese's Cups + 15

There were 4 fewer Reese's Cups than Hershey Bars.

Hershey Bars = 14

Then,

Reese's Cups = 14 - 4

= 10

Milky ways = 12

Hershey bars = 14

Reese's Cups = 10

Milky ways = 12

Milky Ways + Tootsie Rolls = Reese's Cups + 15

12 + Tootsie Rolls = 10 + 15

12 + Tootsie Rolls = 25

Subtract 12 from both sides

Tootsie Rolls = 25 - 12

= 13

Tootsie Rolls = 13

7 0

3 years ago

The Super Shop is having a grand opening sale. Today's special includes 4

KATRIN_1 [288]

Answer:

Step-by-step explanation:

4d=44

4d/4=44/4

d=11

the cost is 11$ per dress

8 0

3 years ago

What is the value of (2x^2-5x+4)if x =7

Troyanec [42]

<span>We have to use PEMDAS for this expression.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

</span>(2x^2 - 5x + 4) Original Mathematical Expression

[2(7)^2 - 5(7) + 4] Plugging the value of x, 7 into expression.

There are parentheses, so that means we have to work in them.

There are exponents, so we have to do those first.

[2(49) - 5(7) +4] Exponents.

There is multiplication, that we can do, so we do that left to right.

[98 - 35 + 4] Multiplication.

There is no division.

There is addition and subtraction, so we do those left to right.

[63 + 4] Subtraction.

67 Addition.

Final Answer: 67

6 0

3 years ago

Read 2 more answers

IF A LIQUID WEIGHS 2 POUNDS AND HAS A CApacity of 3 gallons. what is its density

umka21 [38]

Answer:

0.08 g/cm³

Step-by-step explanation:

We are given;

Mass of the liquid = 2 pounds

But; 1 pound = 453.592 g

Therefore, mass = 907.184 g

Volume of the liquid = 3 gallons

But; 1 gallon = 3785.41 cm³

Thus, volume = 11356.23 cm³

We are required to determine the density of the liquid;

We need to know that;

Density = Mass ÷ Volume

Therefore;

density of the liquid = 907.184 g ÷ 11356.23 cm³

= 0.0799 g/cm³

= 0.08 g/cm³

Thus, the volume of the liquid is 0.08 g/cm³

3 0

3 years ago

Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago