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3 years ago

Emma has 7 bottles: 3 bottles that contain juice, 2 bottles

1 answer:

4 0

Answer: Out of 7 bottles, 2 bottles contain soda. This means that 2 bottles= 29% out of 100%. 7/2 (7 divided by 2) = 0.285. 0.285 can be rounded up to 0.29, meaning that the approximate percentage of the bottles that contain soda is 29%.

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Find the length of MP. round to the nearest hundredth.

lozanna [386]

Answer:

Step-by-step explanation:

Use sine:

$sine=\dfrac{opposite}{hypotenuse}$

We have:

$opposite=MP\\hypotenuse=8.7\ cm\\\alpha=20^o\\\\\sin20^o\approx0.342$

Substitute:

$\dfrac{MP}{8.7}=0.342$

$\dfrac{MP}{8.7}=\dfrac{342}{1,000}$ cross multiply

$1,000MP=2975.4$ divide both sides by 1,000

$MP=2.9754\to MP\approx2.98$

6 0

3 years ago

AFLATI 2 NUMERE STIIND CA AL DOILEA NUMAR ESTE DE 7 ORI MAI MARE DECITPRIMUL IAR SUMA DINTRE DUBLUL PRIMULUI NUMAR SI TRIPLUL CE

postnew [5]

Answer:

The numbers are 20 and 140

Step-by-step explanation:

The question in English is

Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460

Define the variables

Let

x ----> the first number

y ----> the second number

we know that

$y=7x$ -----> equation A

$2x+3y=460$ ----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B

$2x+3(7x)=460$

solve for x

$2x+21x=460$

$23x=460$

$x=20$

Find the value of y

$y=7x$ ----> $y=7(20)=140$

The numbers are 20 and 140

6 0

3 years ago

A player shoots a basketball from a height of 6 feet. The equation, h = -16t^2 + 25t + 6, gives the height, h , of the basketbal

noname [10]

Answer:

$\boxed {\boxed {\sf 7.5 \ feet}}$

Step-by-step explanation:

We are given this function for the height (h) after t seconds:

$h=-16t^2+25t+6$

Seconds is t and we want to find the height after 1.5 seconds. Plug 1.5 in for t.

$h= -16(1.5)^2+25(1.5)+6$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponent first.

(1.5)²= 1.5*1.5=2.25

$h= -16(2.25)+25(1.5)+6$

Multiply.

$h= -36+25(1.5)+6$

$h= -36+37.5+6$

Add.

$h=1.5+6=7.5$

This is already rounded to the nearest tenth, so it is the answer.

After 1.5 seconds, the basketball is at a height of 7.5 feet.

6 0

2 years ago

The equation of a curve is y=f(x). the curve goes through the points (1,3) and (3,7). f'(x) = 4x+p, where p is a number.

Nimfa-mama [501]

$f'(x)=4x+p\\
f(x)=2x^2+px+C\\\\
3=2\cdot1^2+p\cdot1+C\\
7=2\cdot3^2+p\cdot3+C\\\\
3=2+p+C\\
7=18+3p+C\\\\
C=1-p\\
3p=-11-C\\\\
3p=-11-(1-p)\\
3p=-11-1+p\\
2p=-12\\
p=-6\\\\
C=1-(-6)\\
C=7\\\\
y=2x^2-6x+7
$

5 0

3 years ago

Robert invested $250 in an account paying an interest rate of 4.3% compounded annually. Assuming no deposits or withdrawals are

jeka94

Answer:

18.8 years

Step-by-step explanation:

5 0

3 years ago