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miskamm [114]
4 years ago
7

You make punch for a party. The ratio og ginger ale to fruit juice is 8 cups to 3 cups. You decide to add 4 more cups of ginger

ale. How many more cupsof fruit juice do you need to keep the correct ratio.
Mathematics
1 answer:
Dvinal [7]4 years ago
7 0
To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3                /:8
x=\frac{12*3}{8}
x=<u />\frac{36}{8}  \\ x=4.5
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
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There are 158 birds on the endangered species list in some year. this is 16 more than twice the number of reptiles on the list.
S_A_V [24]
Let the number of reptiles on endangered list be 'x'

2x + 16=158

2x=158-16

2x=142

x=71

So there are 71 reptiles on the endangered list
5 0
3 years ago
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,
MariettaO [177]

Answer:

ΔPTS≅ΔRTA by AAS axiom of congruency

Step-by-step explanation:

Consider ΔPQA and ΔRQS

∠PQA=∠RQS     (Vertically Opposite Angles)

∠QAP=∠QSR     (Complementary of two equal angles, ∠RAT and∠PST)

Due to angle sum property of a triangle, we come to the conclusion that

∠APQ=∠SRQ

Consider ΔPTS and ΔRTA

TA=TS  (Given)

∠RAT=∠PST(Given)

∠APQ=∠SRQ (Proved above)

Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.

8 0
4 years ago
Can anyone help me out on this
swat32

Answer: y = 1/8x+1

y=mx+b is slope intercept form

given m = 1/8 and a point we can find b by plugging in what we have

1=1/8(8)+b

1=1b

b=1

So then we know m = 1/8 and b = 1

y=1/8x+1 is the answer

3 0
3 years ago
4x + 5y = -3<br> 6x - 2y = 5<br> x = <br> y =
mezya [45]

Answer: look at the picture

Step-by-step explanation: Hope this help :D

8 0
3 years ago
Write an equation in slope-intercept form for the line that passes through the point (-8, 2) and is perpendicular to the line y
tamaranim1 [39]

Answer:

y = -5x/4 - 8

Step-by-step explanation:

Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

Since we know the coordinate of a point of the other equation, we can plug that into the point-slope form equation y - y1 = m(x - x1):

y - 2 = -5/4(x-(-8))

Simplify:

y - 2 = -5/4(x+8)

y - 2 = -5x/4 - 10

So the equation in slope-intercept form is:

y = -5x/4 - 8

3 0
3 years ago
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