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ella [17]
3 years ago
8

Mike has 1/8 of a teaspoon How many times should Mike use this teaspoon to measure 4 teaspoons of vanilla extract?​

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0

Answer:

Mike should use 32 times this teaspoon to measure 4 teaspoons of vanilla extract.

Step-by-step explanation:

1/8x=4

x=4/(1/8)=(4/1)(8/1)=32/1=32

nadya68 [22]3 years ago
4 0

Answer:

32 times

Step-by-step explanation:

1/8 x 8= 1

1/8 x 32= 4

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Jacob transformed quadrilateral FGHJ to F'G'H'J'.
Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:  

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'.  We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.              

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .      

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D.  Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.

3 0
3 years ago
2(10−x)−14=<br> plz help me &lt;3
BartSMP [9]

How to get answer:

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=2,\:b=10,\:c=x\\=2\cdot \:10-2x\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:10=20\\=20-2x\\=20-2x-14\\Group\:like\:terms\\=-2x+20-14\\\mathrm{Add/Subtract\:the\:numbers:}\:20-14=6\\Answer: =-2x+6

4 0
3 years ago
Read 2 more answers
What is the volume of this cube?
Klio2033 [76]

Answer:

it's 6 cubic feet look you must count all the sides together also I took the test this cube has 6 sides so your answer will be 6 cubic feet ;)

Step-by-step explanation:

6 0
3 years ago
Evaluate 7C3. 35 210 21 105
nydimaria [60]

\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad \qquad \qquad \qquad \qquad _7C_3=\cfrac{7!}{3!(7-3)!} \\\\\\ \textit{use the }[!]\textit{ factorial button or the }[_nC_r]\textit{ button in your calculator}

8 0
3 years ago
During the grand opening of the T-Shirt Shack at the Madera County Emu Farm, four of the emus broke through the fence and attack
Irina-Kira [14]

Given :

p = 0.68

margin of error, E = 0.1

99% confident interval

alpha, α = 1 - 0.99

             = 0.01

$\frac{\alpha }{2}=\frac{0.01}{2} = 0.005$

∴ $z_{\alpha/2}=z_{0.005}=2.5758$ (z-critical value)

Sample size = $z_{\alpha/2} \times \frac{p(1-p)}{E^2}$

                    $=(2.5758)^2 \times 0.68 \times \frac{(1-0.68)}{0.1^2}$

                    $= 6.63475 \times 0.68 \times \frac{0.32}{0.01}$

                   = 144.37

                  = 145 (rounded off)

Therefore, there are 145 businesses does she need to sample to meet this criteria.

6 0
3 years ago
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