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Elodia [21]
3 years ago
12

Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to the number o

f quarters,q, and the number of dimes,d, she has shown
Mathematics
1 answer:
Luden [163]3 years ago
7 0
<span>q + d=19 0.25q + 0.1d=4 
</span><span> (d) -0.1(q + d=19) 0.25q + 0.1d=4 Opposites cancel -0.1q -0.1 d=1.9 0.25q + 0.1d=4</span>
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Triangle with a height of 25 feet and base of 12 feet. What is the area of the triangle?
Dafna1 [17]

Answer:

150 ft

Step-by-step explanation:

triangle area formula= (b*h)/2

25 time 12 is 300. divide 300 by 2 and get 150.

3 0
3 years ago
Read 2 more answers
Can someone solve this?
Vlada [557]

Answer:

1) B and C

2) 0 < 5x - 10 < 50

10 < 5x < 60

2 < x < 12

3) B

5 0
2 years ago
4) Solve each pair of simultaneous equations.
Mkey [24]
4) a. x+y=1–(1)
y=2x-8—(2)
(2) into (1)
x+(2x-8)=1
3x-8=1
3x=1+8
x=9/3
x=3—(3)
(3) into (2)
y=2(3)-8
y=-2

ans x=3, y=-2

b. x+y=19—(1)
y=5x+1—(2)

(2) into (1)

x+(5x+1)=19
6x+1=19
6x=19-1
x=18/6
x=3—(3)

(3) into (2)

y=5(3)+1
y=16

ans x=3, y=16

c.x+y=-2—(1)
y=x-10—(2)

(2) into (1)

x+(x-10)=-2
2x-10=-2
2x=-2+10
x=8/2
x=4–(3)

(3) into (2)
y=4-10
y=-6

ans x=4, y=-6


5) 3x=y—(1)
x=y-16–(2)

(2) into (1)

3(y-16)=y
3y-48=y
2y=48
y=48/2
y=24–(3)

(3) into (2)

x=24-16
x=8

ans x=8, y=24
7 0
3 years ago
The function g is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choos
koban [17]

Answer:

C. g(x) = -2 \cdot (x + 1)\cdot (x+7)

Step-by-step explanation:

The polynomial form that reveals most quickly the zeroes is the form of a product of binomials. That is:

g(x) = \Pi\limits_{i=1}^{n}  (x-r_{i})

Where \Pi is the product function and r_{i} is the i-th root of the polynomial.

Hence, g(x) = -2 \cdot (x + 1)\cdot (x+7) resembles a form that is close to the form described above. The right option is C.

8 0
3 years ago
If the slope is 3 and one ordered pair on the line is (2,9), what is the equation?
Ksenya-84 [330]

Answer:

y = 3x+3

Step-by-step explanation:

we can find the equation of the line with this formula:

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m the slope

so we have

y-9 = 3(x-2)

y = 3x-6+9

y = 3x + 3

7 0
2 years ago
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