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tangare [24]
3 years ago
10

How do you simplify an fraction with a whole number?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0
1.Multiply the whole number by the denominator.
2.Add the answer from Step 1 to the numerator.
3.Write answer from Step 2 over the denominator.
You might be interested in
12. At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Wh
Romashka [77]

Answer:

150th customer

Step-by-step explanation:

To find this we would need the lcm lowest common factor of 30 and 75

LCM 30 = 2,5,3,1

LCM 75 = 3,5,5

H.C.F = 2,3,5,5

         = 150

the 150th custome would be getting both gift.

7 0
3 years ago
Which graph represents the equation -5x+4y>-1?
galben [10]
<h3>Answer: Choice D</h3>

======================================================

Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\

This is false because -20 is not larger than -1. It's the other way around.

This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

6 0
3 years ago
A sum of money is to shared among Betty, Luke and John in the ratio 4 : 7 : 9. If Luke's share amounts to $1295, calculate the t
zepelin [54]

Answer:

$3,700

Step-by-step explanation:

1,295/7=185

185x4=740

185x9=1,665

740+1,295+1,665=3,700

Hope this helps! :)

8 0
3 years ago
Read 2 more answers
Which representation of a transformation on a coordinate grid does not preserve congruence?
Alex17521 [72]

Answer:

B

Step-by-step explanation:

Consider all options:

A. Transformation with the rule

(x,y)\rightarrow (x,-y)

is a reflection across the x-axis.

Reflection across the x-axis preserves the congruence.

B. Transformation with the rule

(x,y)\rightarrow \left(\dfrac{7}{8}x,\dfrac{7}{8}y\right)

is a dilation with a scale factor of \frac{7}{8} over the origin.

Dilation does not preserve the congruence as you get smaller figure.

C. Transformation with the rule

(x,y)\rightarrow (x+6,y-4)

is a translation 6 units to the right and 4 units down.

Translation 6 units to the right and 4 units down preserves the congruence.

D. Transformation with the rule

(x,y)\rightarrow (y,-x)

is a clockwise rotation by 90^{\circ} angle over the origin.

Clockwise rotation by 90^{\circ} angle over the origin preserves the congruence.

3 0
4 years ago
PLEASE HELP!!!
Goshia [24]

Answer:

Question 1:

(A) 22.5 weeks

Question 2:

(A) 35

Step-by-step explanation:

Question 1:

Given:

The line of best fit is given as:

y=1.12x+28.78

Where,

x\to age\ in\ weeks\\\\y\to height\ in\ centimeters

Height of the puppy (y) = 54 cm

Now, plug in the value of 'y' and solve for 'x'. This gives,

54=1.12x+28.78\\\\54-28.78=1.12x\\\\25.22=1.12x\\\\x=\frac{25.22}{1.12}=22.5\ weeks

Therefore, the puppy was 22.5 weeks old when he was 54 cm tall.

Question 2:

The line of best fit is given as:

y=0.32x-20.51

Where,

x\to number\ of\ times\ at\ bat\\\\y\to number\ of\ hits

Number of times at bat (x) = 175

Now, plug in the value of 'x' and solve for 'y'. This gives,

y=0.32\times 175-20.51=35.49\approx 35

Therefore, the number of hits is 35 to the nearest whole number.

8 0
4 years ago
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