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Lerok [7]
2 years ago
10

I am a multiple of 7 and divisible by 4 if i am less than 30 what number am i?

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer: 28

Step-by-step explanation:

The multiples of 7 that's less than 30 include: 7, 14 , 21 and 28.

From the numbers above,

7 isn't divisible by 4 as it gives a remainder.

14 isn't divisible by 4 as it gives a remainder.

21 isn't divisible by 4 as it gives a remainder.

28 is divisible by 4 without a remainder

Therefore, the correct answer should be 28

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13. Danny is in science class and is given a square block of metal with
jenyasd209 [6]

Answer: 336g.

Step-by-step explanation:

the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.

Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):

7=m/48

to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.

5 0
3 years ago
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
weeeeeb [17]

Answer:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

y-2=\frac{-4}{5} (x+3)

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

y=\frac{-4}{5} x-\frac{2}{5}

Thus, our two equations are:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

8 0
2 years ago
I need help with something in school.
Kamila [148]

Answer:

what do you need help with

Step-by-step explanation:

:)

6 0
2 years ago
Read 2 more answers
Given a focus of (4, 5) and directrix of y= -3 , find the equation of the parabola.
andrey2020 [161]
Check the picture below.

notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.

keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}})
\\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------

\bf \begin{cases}
h=4\\
k=1\\
p=4
\end{cases}\implies (x-4)^2=4(4)(y-1)\implies (x-4)^2=16(y-1)
\\\\\\
\cfrac{1}{16}(x-4)^2=y-1\implies \cfrac{1}{16}(x-4)^2+1=y

8 0
3 years ago
A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint. How many pints of yellow paint will be needed i
katrin2010 [14]

Answer:

1\frac{7}{8}

Step-by-step explanation:

Given:

A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint.

Question asked:

How many pints of yellow paint will be needed if the mixture contains one pint of blue paint ?

Solution:

We will easily find quantity of yellow paint, will be needed in the mixture, contains one pint of blue paint by using unitary method:

By using \frac{2}{5} \ pint blue paint, yellow paint requires = \frac{3}{4} \ pint

By using 1 pint blue paint, yellow paint requires = \frac{3}{4} \div\frac{2}{5} \\

                                                                               =\frac{3}{4} \times\frac{5}{2} \\\\ =\frac{15}{8} \\\\ =1\frac{7}{8} \ pint

Thus, 1\frac{7}{8} pint yellow paint requires in the mixture with one pint of blue paint.

4 0
3 years ago
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