3 burritos and 4 tacos cost 11.33 3b + 4t = 11.33
<span>9 burritos and 5 tacos cost 23.56 9b + 5t = 23.56 </span>
<span>To solve: multiply top equation by 3. </span>
<span>3(3b + 4t = 11.33) becomes 9b + 12t = 33.99 </span>
<span>9b + 5t = 23.56 stays as is 9b + 5t = 23.56 </span>
<span>Now subtract the second equation from the first and you will get </span>
<span>7t = 10.43 which you can solve by dividing both sides by 7 to get t = 1.49 so a taco costs $1.49. </span>
<span>Now replace a t in either equation with 1.49 so 3b + 4t = 11.33 becomes 3b +4(1.49) = 11.33 or 3b + 5.96 = 11.33. Now subtract 5.96 from each side leaving 3b = 5.37 and finally divide both sides by 3 to get b = 1.79 so a burrito costs $1.79 </span>
<span>Problem Two: </span>
<span>3 brass and 10 steel costs $48 3b + 10s = 48 </span>
<span>7 brass and 4 steel costs $54 7b + 4s = 54 </span>
<span>To solve: multiply top equation by 2 and the bottom equation by 5 so the number of s's will be equal </span>
<span>2(3b + 10s = 48) becomes 6b + 20s = 96 </span>
<span>5(7b + 4s = 54) becomes 35 b + 20s = 270 </span>
<span>Now subtract the top equation from the bottom equation and you will get 29b = 174. Divide both sides by 29 to get b = 6. </span>
<span>Now replace the b of either original equations with the 6 (say the top equation) to get 3(6) + 10S = 48 or written another way, </span>
<span>10s + 18 = 48. Now subtract 18 from both sides to get 10s = 30 and then divide both sides by 10 to get s = 3. </span>
<span>b=6 and s=3 so each brass part is $6 and each steel part is $3.</span>
Answer:
29
Step-by-step explanation:
To find what isn't a composite number, we need to find which of these is prime. 27 isn't since its 9*3. 28 isn't since its 14*2. 29 is prime
The measure of CA is equal to measure of CB or CA=CB by the Side Angle Side congruence postulate.
<h3>What is a perpendicular line?</h3>
Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other, known as parallel lines.
We have a statement:
a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
Consider the line segment AB,
let D be the midpoint of AB, so AD=DB
CD ⊥ AB
The triangles CAD and CBA are congruent from the Side Angle Side congruence postulate:
AD = DB, CD is common and Angle CDA = angle CDB = 90°, as CD ⊥ AB
So CA=CB
Thus, the measure of CA is equal to measure of CB or CA=CB by the Side Angle Side congruence postulate.
Learn more about the perpendicular line here:
brainly.com/question/18271653
#SPJ1
Answer:
a. When vector is added to vector , the resultant is vector such that its magnitude and direction is proportional to the resultant magnitude and direction of the component vectors.
b. ∅ = (Rx/Ry)
Step-by-step explanation:
Vectors are used to express physical quantities with magnitude and direction. Vectors can be added by the parallelogram method or the triangular method of addition. the magnitude and direction of the resultant vector is usually proportional to the magnitude and direction of the component vectors.
The direction of the angle is found as
tan∅ = Rx/Ry
∅ = (Rx/Ry)
Answer:
126 in.³
Step-by-step explanation:
Volume of a rectangle/square is length x width x height so you just multiply all the dimensions together.
Hope this helped :)