We want to find word problems that gives rise to the following systems of algebraic equations.
a)
x+y=13
x-y=1.
Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.
b)
3x-30y=15
2x+10y=40
Answer:
The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.
c)
8x+3y=37
8x-3y=50
Answer:
The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.
d) x-5y=4
3x+5y=32
The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.
Answer:
D.Place the tip of the compass on point X
Step-by-step explanation:
To construct an angle congruent to angle Q involves drawing an angle X that is the same measure as angle Q. Below are the steps involved.
i) First measure any length with your compass and place the compass on point Q to draw an arc to touch both lines at point R and S.
ii) With the same length used to draw the arc that touch at point R and S, place the compass on point X and then draw an arc, the point at which the arc touches the line on which point x lies should be labeled T.
iii) measure with the distance with the compass from point R to S. With the distance, place the compass on point T and draw an arc.
iv) Where the arc from (iii) and (ii) intersect should be labeled T. From point T draw a line to point X.
The resulting angle is a congruent angle to angle Q
Answer:
X + 50 = 130
Step-by-step explanation:
This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.
To solve, subtract 50 from each side,
X + 50 - 50 = 130 - 50, and simplify,
X = 120.
Jordan will need $120 more to go to the Camp Rodeo Field Trip.
Hope this helps.
Options aren't avaible
Answer:
(1 ÷ 1/6) * 6
36 pieces of pizza
Step-by-step explanation:
Given that :
Number of pizzas ordered = 6
Divisions per pizza = 1/6 ;
Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces
6 * 1/6(1)
The total pieces of pizzas equals :
6 pieces per pizza * number of pizzas
6 * 6
= 36 pieces of pizza
Answer:
2/7
Step to step explanation:
This question is in other words, asking you to simplify the fraction.
Find the GCF and divide both the denominator and numeratior by the GCF.
The GCF of 24/84 is 12.
24/12 = 2
84/12 = 7.
