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3 years ago

Determine the first expressions to evaluate the problem.

Mathematics

1 answer:

Helga [31]3 years ago

8 0

Answer:

Step-by-step explanation:

5+9+15+2= 31

by order of pemdas

parentheses

exponents

multiply

divide

add

subtract

first is (4+9)

next is 3^2

third is 8/4

finally you add them all together

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Consider A (-9, 4) and B (11, 17), find the coordinates for point P that partition A to B in a 3: 5 ratio.

Talja [164]

Answer:

C. (-1.5, 8.875)

Step-by-step explanation:

on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by

p = (nx1 + mx2/ m+n, ny1+my2/m+n)

_______________________________________________

Given point

A (-9, 4) and B (11, 17)

ratio 3:5

m:n = 3:5

m+n = 3+5 = 8

coordinate of point p that partition AB

x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3

x = (-45 + 33) / 8 y = (20 + 51) / 8

x = (-12) / 8 y = (71) / 8

x = -3 / 2 = -1.5 y = 8.875

Thus, coordinate of point p is (-1.5, 8.875).

7 0

2 years ago

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0

3 years ago

145 is what percent of 620

Oksanka [162]

Hello There!

145 is 23.39% of 620

HOW TO SOLVE

Equation: Y = P% * X

We need to solve our equation for "P"

P% = Y/X

P% = 145/620

p = 0.2339

Convert decimal to percent:

Percent = 0.2339 * 100 = 23.39%

4 0

2 years ago

Simplify: (−2)3 · (−2)4 A) (−2)12 B) (−2)7 C) 212 D) 27

Dahasolnce [82]

Since both sides have a -2 in then you can pull it out making the equation -2(3*4) which equals -2(12) so A is correct

3 0

2 years ago

Read 2 more answers

5/21 Marks

cricket20 [7]

Answer:

large jar

Step-by-step explanation:

large jar= £1.54 (divide) 440= 0.0035

small jar= £1.26 (divide) 340= 0.0037

as the large jar cost less (0.0035 > 0.0037) the large jar is the best value for money

8 0

3 years ago