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JulijaS [17]
2 years ago
11

Please answer them! be quick if you can, thank you.

Mathematics
1 answer:
fiasKO [112]2 years ago
5 0

Answer:

Question one = 35a - 15

Question two = 9

Step-by-step explanation:

Distributive property means to multiply all the numbers inside the parenthesis

by the outside number. 5 x 7a equals 35a and 5 x 3 = 15.

35 x 9 - 315 - 15 = 300

A = 9

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A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose fr
quester [9]

Answer: She could create 60 platters.

Step-by-step explanation:

Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.

Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-

^nC_r=\dfrac{n!}{r!(n-r)!}

So, the number of combinations of selecting 2 different vegetables from 6 = ^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15

Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)

= 15 x 4

= 60

Hence, she could create 60 platters.

6 0
3 years ago
Solve for x In the triangle
Goryan [66]
\boxed {\boxed { \sin(\theta) = \dfrac{\text{opp}}{\text{hyp}} }}

\sin(38 \textdegree) =  \dfrac{x}{11}

x = 11 \times \sin(38 \textdegree)

x = 6.8 \text { units}
8 0
3 years ago
Floyd caught a fish that weighed 2/3 of a pound. Kira caught a fish that weighed 7/8 of a pound. Which fish weighed more.
sashaice [31]
The 7/8 pound fish.

2/3lb = 0.6666 lb
7/8lb = 0.875 lb
3 0
3 years ago
Darin has a rectangular vegetable garden. It is 5 yards long and 8 feet wide.
Lelu [443]

Answer:

about 15.328 yrds

Step-by-step explanation:

two sides are 5 yrds, so 5+5= 10yrds. two sides are 8 ft, 8+8=16 ft. there are .3333 yrds in 1 foot so 16*.3333 = about 5.328yrds

10+5.328 = 15.328

7 0
3 years ago
A person plans to invest a total of $3500 in one bank account at 2.2% annual interest and another bank account at 17% annual int
jeka57 [31]

Answer:

$435.3

Step-by-step explanation:

Assuming simple interest

Interest, I=Pi/100 where P is principal amount and i is rate of interest in percentage

For $3500, the interest will be 3500*2.2/100=$77

From total target of $151, the person is less 151-77=$74

Taking x as principal and rate of interest as 17% then

0.17x=74

X=74/0.17=$435.2941176470

Rounded off as $435.3

6 0
3 years ago
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