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6 × 30 = 90
280 - 90 = 190
190 / 2.50 = 76
We can check using multiplication.
2.50 × 76 = 190
Percy delivered 76 pizzas.
Answer:
x = -5, and y = -6
Step-by-step explanation:
Suppose that we have two equations:
A = B
and
C = D
combining the equations means that we will do:
First we multiply both whole equations by constants:
k*(A = B) ---> k*A = k*B
j*(C = D) ----> j*C = j*D
And then we "add" them:
k*A + j*C = k*B + j*D
Now we have the equations:
-x - y = 11
4*x - 5*y = 10
We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.
Then we can take the first equation:
-x - y = 11
and multiply both sides by 4.
4*(-x - y = 11)
Then we get:
4*(-x - y) = 4*11
-4*x - 4*y = 44
Now we have the two equations:
-4*x - 4*y = 44
4*x - 5*y = 10
(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)
If we add them, we get:
(-4*x - 4*y) + (4*x - 5*y) = 10 + 44
-4*x - 4*y + 4*x - 5*y = 54
-9*y = 54
So we combined the equations and now ended with an equation that is really easy to solve for y.
y = 54/-9 = -6
Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.
-x - y = 11
-x - (-6) = 11
-x + 6 = 11
-x = 11 -6 = 5
-x = 5
x = -5
Then:
x = -5, and y = -6
Answer:
Yes. The male and female consumers differ in the amounts they spend.
Step-by-step explanation:
We can express the null and alternative hypothesis as:
It is assumed a significance level of 0.05.
The standard deviation of the difference of means is calculated as:
The test statistic is
The degrees of freedom are:
The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.
We can conclude that male and female consumers differ in the amounts they spend.
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Answer:
12. (x, D, E, F) = (8, 38°, 75°, 67°)
13. (x, P, Q, R) = (13, 126°, 30°, 24°)
Step-by-step explanation:
The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.
12. (5x -2) +(9x +3) +(11x -21) = 180
25x = 200 . . . . . . . add 20, simplify
x = 8 . . . . . . . . . divide by 25
Then the angle measures are ...
∠D = 5(8) -2 = 38°
∠E = 9(8) +3 = 75°
∠F = 11(8) -21 = 67°
__
13. (10x -4) +(4x -22) +(x +11) = 180
15x = 195 . . . . . . . . . . add 15, simplify
x = 13 . . . . . . . . . divide by 15
Then the angle measures are ...
∠P = 10(13) -4 = 126°
∠Q = 4(13) -22 = 30°
∠R = 13 +11 = 24°
Explanation:
1.angels on a straight line add up to 180degrees
2.when you see the signs at number 6 and 7 it means it is 90 degrees
EG. number 6.it will be 90degrees+29degrees=119degrees remember that all angles on a straight line add up to 180 degrees. to get angel xwy you will subtract 119 degrees from 180 degrees =xwy which is 61 degrees
