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myrzilka [38]
2 years ago
5

Help please? I'm trying to get these assignments done so I can take a test

Mathematics
1 answer:
umka21 [38]2 years ago
8 0

Step-by-step explanation:

at most 5 sec means the light must be yellow or green

time for green is 40

40+5 = 45

total time of cycle

40+5+30

= 75

so probability = 45/75

9/15 should be correct as of my knowlege do u know right answer then tell

%= 9/15*100= 60%

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18 – 12 + x = 10 What value of x makes the equation true?
drek231 [11]

Answer:

4

explanation:

well 18 minus 12 would equal 6. correct? so we would add x to 6 so the new equation would be 6 + x = 10 or to make it easier just do 10 - x = 6

5 0
3 years ago
Read 2 more answers
At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before the costumer adds the toppings. After the
Mama L [17]
The best answer would be 28 hope it help
5 0
3 years ago
In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x
Fiesta28 [93]

Given function is

f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

kx^2-5

so RHD= k(-4)^2-5

Now set both equal

k(-4)^2-5=3(-4)+k

16k-5=-12+k

16k-k=-12+5

15k=-7

k=-\frac{7}{15}

k=-0.47

<u>Hence final answer is -0.47.</u>




7 0
3 years ago
Write the following<br> number in scientific<br> notation.<br> .00078
Aliun [14]

Answer:

7.8 × 10^-4

Step-by-step explanation:

Although this answer is perfectly O.K., most commonly the base, or the 0.00078, is written as a number with just one digit to the left of the decimal.

To format your number in this way, we'll multiply the .00078 by 10, 4 time(s), making it a 7.8.

We do this, because each multiplication by 10 moves the decimal point to the right one digit.

But in order to keep our number the same number, we must have a × 10-4 next to the 7.8.

So, the final answer is 7.8 × 10^-4

4 0
3 years ago
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