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laila [671]
3 years ago
6

The product The product of 5 and a number n is at least -25

Mathematics
2 answers:
kogti [31]3 years ago
5 0

the answer is n > -5

Sophie [7]3 years ago
4 0

Answer:

n >  - 5

Step-by-step explanation:

5 \times n >  - 25 \\ n >  - 25 \div 5 \\ n >  - 5

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Yin wants to create figure Y′ that is similar to figure Y. Yin begins by reflecting figure Y across the y-axis.
Sholpan [36]

Answer: B) Dilate by scale factor of 2

====================================================

Explanation:

Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.

If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.

Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.

3 0
3 years ago
Read 2 more answers
A museum has an aquarium in the shape of a right rectangular prism that is 6 1/4 feet long, 7 1/5 feet wide, and 4 1/2 feet high
Evgesh-ka [11]

Answer:

Volume = 202.5 cubic feet

Step-by-step explanation:

Given that the aquarium is in the shape of a right rectangular prism in which

Length L = 6 1/4 feet

Width W = 7 1/5 feet

Height H = 4 1/2 feet

Volume = L × B × H

Volume = 25/4 × 36/5 × 9/2

Volume = 5 × 9 × 4.5

Volume = 202.5 cubic feet

4 0
3 years ago
Homework: Algebra Re<br> Find the slope and the y-intercept<br> 6x-7y=15
umka21 [38]

Answer:

the slope is 6/7 the y-intercept is (0, -\frac{15}{7})

Step-by-step explanation:

I'm not 100% sure sorry lol.

3 0
3 years ago
Read 2 more answers
Every morning Calvin reads for 15 minutes. Every evening he reads for n minutes. Next week, he is going to triple the amount of
prohojiy [21]
Answer:
15 + 3n

Triple the amount of evening which is “n” so it would “3n”

The morning amount would still be 15
4 0
3 years ago
James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The
Brrunno [24]

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch   : 176 males, 264 females

Total number of peoples is

46+254+176+264=740

Total number of males is

46+176=222

The probability of male is

P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

176+264=440

The probability of persons who buys lunch is

P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}

P(male | buys lunch)=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}

P(male | buys lunch)=\frac{\frac{176}{740}}{\frac{22}{37}}

P(male | buys lunch)=\frac{2}{5}=0.4

Therefore the correct option is 4.

8 0
3 years ago
Read 2 more answers
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