Answer:
2)16.5
Step-by-step explanation:
step1:v/2.2 -0.1=7.4
add 0.1 on both sides
step2:v/2.2=7.5
multiply by 2.2 on both sides
step3:v=16.5
2) v/2.2 - 0.1 = 7.4
v/2.2 = 7.4 + 0.1
v /2.2 = 7.5
v = 7.5 * 2.2
v = 16.5
4) -1.3g + 1.9 = -11.1
-1.3g = -11.1-1.9
-1.3g = -13
g = -13/-13
g = 1
6) -14.3 = -1.4 -3d
-14.3 + 1.4 = -3d
-12.9 = -3d
3d = 12.9
d = 12.9/3
d= 4.3
y = 2x
B.
y = x – 2
C.
y = 2x + 2
D.
y = x + 2
Answer:
3
Step-by-step explanation:
Rewriting this sentence as an algebraic equation, we get:
3^10 = 3^7 * x^3.
Dividing both sides by 3^7 simplifies the problem:
3^3 = x^3
Here this x corresponds to the 3 in 3^3. Thus, the solution is x = 3.
Using exponent rules and logarithms, the given equation can be simplified and solved to find that x equals 3.
The subject of the question falls into the field of Mathematics, specifically exponent rules, which are used in High School level algebra. In the mathematics problem provided ('3 to the 10th power = 3 to the 7th power times x to the 3rd power'), we need to solve for x using the knowledge of exponents.
First, it's helpful to know that when two expressions with the same base (in this case, 3) are set equal to each other, their exponents must also be equal. Since we know that 3 to the 7th power times x to the 3rd power equals 3 to the 10th power, we can break this down further. This leads to the equation 7 + 3log(x) = 10, where 'log' represents the logarithm.
By simplifying the equation, we get 3log(x) = 10-7, so 3log(x) = 3. Therefore, log(x)=3/3, hence log(x)=1. If we apply anti logarithm on both sides, we'll find that x = 3 to the power of 1, so x = 3. In other words, 3 to the 3rd power will equal3 to the 10th power divided by 3 to the 7th power. Hence, the value of x is 3.
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Number of pounds of dough used = 3/5 pounds.
Number of pounds of sugar used = 3/4 pounds
Number of pounds of sprinkles used = 2/3 pounds.
Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.
Plugging values.
Total number of pounds of donuts = 3/5 + 3/4 + 2/3.
We need to add all those fractions.
In order to add fracions, we need to find common denominator (lcd).
We have 5,4 and 3 in denominators.
Least common denominator(lcd) of 5, 4 and 3 is 60.
We need to make each denominator equals 60.
Multiplying first fracion by 12 in top and bottom, we get
3*12/5*12 = 36/60
Multiplying first fracion by 5 in top and bottom, we get
3*15/4*15 = 45/60
Multiplying first fracion by 20 in top and bottom, we get
2*20/3*20 = 40/60.
Therefore,
3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60
= 121/60
Let us convert 121/60 into mixed fraction.
Dividing 121 by 60 we get quotient =2 and remainder =1.
So, the mixed fraction is 2 1/60.
Therefore, Beulah made total 2 1/60 pounds of donuts.
The total weight of the donuts can be found by adding together the weights of the dough, sugar, and sprinkles, which comes to approximately 2.02 pounds.
The total weight of the donuts Beulah made can be found by adding the weights of the ingredients - dough, sugar, and sprinkles - together. First, she used 3/5 pounds of dough, to which she added 3/4 pound of sugar. Lastly, she used 2/3 pounds of sprinkles.
Now, let's add these quantities:
Therefore, "Beulah made about 2.02 pounds of donuts".
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Answer:
The average of -2.5, 5.2, 1.7, and -0.8 is 0.9
Step-by-step explanation:
You are taking the mean of all the values
So you would add -2.5, 5.2, 1.7, and -0.8 all together
This gives you 3.6
Then you would divide by the number of numbers per se,
Which would give you the answer: 0.9