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daser333 [38]
3 years ago
11

(15 points, will mark brainliest) The sum of two numbers is 56. The smaller number is 14 less than the larger number. What are t

he larger and smaller numbers?
Mathematics
2 answers:
Irina-Kira [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Small number = x - 14

Large number = x

x + x - 14 = 56

2x = 70

x = 35

Small number = 35 - 14 = 21

Large number = 35

Gnesinka [82]3 years ago
6 0

Answer: small number = 21, big number = 35

Step-by-step explanation: let small number= x, big number= y

X+y=56

X-y =-14

Solving simultaneously adding the two equations

2x =42

X= 21

Substitute x in the first equations

21 +y =55

Y= 56-21

Y= 35

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The recommended angle for a wheelchair ramp is 5 degrees. If the rise of the ramp to go up the steps is 5 feet, find the horizon
dybincka [34]

Answer:

57.2\ ft

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

tan(5^o)=\frac{y}{x}

we have

y=5\ ft

substitute and solve for x

tan(5^o)=\frac{5}{x}

x=\frac{5}{tan(5^o)}

x=57.2\ ft

5 0
4 years ago
Please help, i can't figure this out and im ready to pull my hair out!!!
Nat2105 [25]

Answer:

I'm sorry I don't know the equation, but she walks 3 mph.

Step-by-step explanation:

We know that the answer is asking for speed, which needs both distance and time, so we also need both. Which is where the 9 mph is used. 9 mph means its a difference. b means biking mph, w means walking mph, sooo ----->>> b=w+9, and the difference in the 1st equation is 36, which means the first equation is 4 times larger than the b=w+9, so she walked 48 miles, as well as walked 12 miles in 4 hours. Divide then distances by 4, and you get 12 miles and 3 miles in one hour. Or 12 mph & 3 mph, which fits into 12=3+9. So she walks 3 miles per hour.

5 0
3 years ago
Caroline drove 350 miles to get grandmother's house. The trip took 5 1/4 hours. What is her average speed in miles per hour?
tino4ka555 [31]

Answer:

66.666 mph or 66.67

Step-by-step explanation:

First I would change 1/4 to .25 so the equation would look like this.

350/ 5.25 = 66.666 Continues so you could round it to the nearest hundredth.

7 0
3 years ago
Read 2 more answers
Test the claim that the proportion of people who own cats is significantly different than 90% at the 0.1 significance level.
miss Akunina [59]

Answer:

The right answer is Option B:

H_0: \pi=0.9\\\\H_1: \pi\neq0.9

Step-by-step explanation:

In this case we have to perform a hypothesis test on the proportion of the people owning cats.

The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).

The right answer is Option B:

H_0: \pi=0.9\\\\H_1: \pi\neq0.9

4 0
3 years ago
A train traveled 340 miles in 8 hours. If the train’s average rate of travel increased by 14 mph, what is the new average rate o
padilas [110]
D (56.5)


Originally, the train traveled 340 miles in 8 hours
If we use the formula d/t, we'll have 340/8, which is 42.5

If we add 14, then we'll have 56.5, or d

4 0
4 years ago
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