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zaharov [31]
3 years ago
13

Explain how solving -4t < 32 is different from solving 4t <-32.

Mathematics
1 answer:
stiv31 [10]3 years ago
3 0
Thanks for the question!

When you multiply or divide both sides of an inequality, you flip the sign. "Flip," meaning greater than becomes less than and less that becomes greater than.

Hope this helps!
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Can I get help with these too? Thank you!!!!!
Anastasy [175]
For ABC:

The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54

The measure of angle ABC = x - 5 = 54 - 5 = 49

For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21

The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
7 0
3 years ago
Two pizzas were each cut into 6 slices. Mom ate 1/6 of the veggie pizza and 1 slice of the pepperoni pizza. Thea ate 1/2 the veg
Ronch [10]
1 slice of veggie pizza and 1 slice of pepperoni pizza. = 2 slices of pizza in total
5 0
3 years ago
Read 2 more answers
Simplify: <img src="https://tex.z-dn.net/?f=4%5Csqrt%7B12%7D%20-%20%5Csqrt%7B3%7D%20%2B%204%20%5Csqrt%7B6%7D%20%2B%203%20%5Csqrt
Dahasolnce [82]
4 divided by 12 -3+4 divided by 6+3 divided by 4
6 0
2 years ago
How many different 4-question geometry quizzes can a teacher make if there are 7 different problems to test on?.
stich3 [128]

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula \displaystyle nCr=\frac{n!}{r!(n-r)!} which describes the number of ways we can choose r objects given n possible choices. So, if n=7 and r=4, then:

_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35

Hence, the teacher can make 35 different geometry quizzes.

3 0
2 years ago
write each ratio statement as a fraction and reduce to lowest terms if possible.(i)18 to 24 (ii)5 to 15 (iii)14:42 (iv) 15 cents
ArbitrLikvidat [17]

Answer:

i) 3/4

ii) 1/3

iii) 1/3

iv) 5/6 cents

Step-by-step explanation:

Any ratio can be written as a fraction.

For example 3:4 can be writen as 3/4 or 14:42 as 14/42.

After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.

4 0
2 years ago
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