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MariettaO [177]
3 years ago
7

What is the solution to the inequality? 5t≤−15

Mathematics
2 answers:
qwelly [4]3 years ago
8 0
The solution of the inequality is t<-3. Because -15 divided by 5t is equal to -3
3241004551 [841]3 years ago
4 0
T equals -3 because 5 times -3 would be equal to -15
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The hotdog stand at a baseball game sells hotdogs for $3.50 each. The amount, D dollars, Mr. Moore paid for the hotdogs is direc
iVinArrow [24]

Answer:

D α H

k = D/H

k = 3.50

Step-by-step explanation:

Amount paid, D is directly proportional to the number of hotdogs, H

D = $3.50 per hot dog

D = $3.50 is directly proportional to 1 hotdog

Hence,

D α H

D = kH

k = proportionality constant

H = 1

3.50 = k

k = 3.50

k = D/H

4 0
3 years ago
Please help please really need help please
just olya [345]

Answer:

x = 1

y = -2

Step-by-step explanation:

5x - 2y = 9 -----------(I)

2x + 7y = -12 --------------(II)

Multiply (I) by 7          35x - 14y = 63

Multiply (II) by 2         <u>4x + 14y  = - 24</u><u>  </u> {Now add and thus y will be eliminated}

                                  39x         =      39

                                          x = 39/39

x = 1

Plugin x = 1 in equation(I)

5*1 - 2y = 9

5 -2y = 9

    -2y = 9 -5

    -2y = 4

        y = 4/-2

        y = -2

8 0
3 years ago
Write an equation for a circle with a diameter that has endpoints at (–4, –7) and (–2, –5). Round to the nearest tenth if necess
Zinaida [17]

since we know the endpoints of the circle, we know then that distance from one to another is really the diameter, and half of that is its radius.

we can also find the midpoint of those two endpoints and we'll be landing right on the center of the circle.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[-2-(-4)]^2+[-5-(-7)]^2}\implies d=\sqrt{(-2+4)^2+(-5+7)^2} \\\\\\ d=\sqrt{2^2+2^2}\implies d=\sqrt{2\cdot 2^2}\implies d=2\sqrt{2}~\hfill \stackrel{~\hfill radius}{\cfrac{2\sqrt{2}}{2}\implies\boxed{ \sqrt{2}}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5})\qquad \qquad \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-2-4}{2}~~,~~\cfrac{-5-7}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{-12}{2} \right)\implies \stackrel{center}{\boxed{(-3,-6)}} \\\\[-0.35em] ~\dotfill

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-3}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{\sqrt{2}}{ r} \\[2em] [x-(-3)]^2+[y-(-6)]^2=(\sqrt{2})^2\implies (x+3)^2+(y+6)^2=2

4 0
3 years ago
Read 2 more answers
How do you round the number 26.778 give me the result
Kay [80]
If to a whole number, you'd round to 28. If for a tenth, it'd go to 26.8, if for a hundredth, it'd go to 26.78.

Hope this helps!
6 0
3 years ago
Read 2 more answers
In the diagram shown, m&gt;1 = x + 16 and m&lt;2 = 3x - 24 <br><br> Find the value of x
Oksanka [162]
X + 16 = 3x - 24
30 = 2x
x = 15
7 0
4 years ago
Read 2 more answers
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