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3 years ago

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A fruit bowl contained 2 bananas, 5 oranges, and 4 apples. In simplest form, what is the ratio of apples to bananas in the fruit

bowl?

2 answers:

Lisa [10]3 years ago

8 0

Answer:

1:2

Step-by-step explanation:

there are 4 apples and 2 bananas so you divide 4/2 and get 1:2

alexdok [17]3 years ago

4 0

It will be 1:2 because ya I just know!

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Find the reference angle of the following angles:405°, 750°, ‒ 210°, 495° ‒660°, 480°

scZoUnD [109]

Answer:

Step-by-step explanation:

405÷180=2×180+45,45°

750=180×4+30,30°

-210+180=-30,30°

495÷180=2×180+135,180-135=45°

-660°+360=-300°+360=60,60°

480-360=120,180-120=60,60°

5 0

4 years ago

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Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

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8 0

2 years ago

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This is my third time asking brainly for this question. Find the perimeter and in standard form.

devlian [24]

The expression is 14x + 4. it’s a rectangle, so the opposite sides are congruent and they have the same value.

6 0

3 years ago

Eight oranges cost $1.00.How much will 5 dozen oranges cost?

Nutka1998 [239]

1 dollar is to 8
1:8
so 5 dozen
1 dozen=12
5 dozen=12 times 5=60
1:8 and x:60
1/8=x/60
multiply both sides by 60
60/8=x
30/4=15/2=7.5=x
$7.50 is how much you pay

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3 years ago

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Liam ran 4 times around a circular track and did 100 jumping

zalisa [80]

Answer:

the one complete circuit of the track is 600 meters

Step-by-step explanation:

divide the 2.4 kilometers by 4 which gives you your answer.

2.4 kilometers = 2,400 meters

2,400/4 = 600

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3 years ago

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