MATHEMATICS HIGH SCHOOL

Can anyone help me please?
What is
21 times x = 7

Answers

Answer 1

Answer:

Answer:

x = 1/3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other:

21x = 7

Divide 21 from both sides:

(21x)/21 = (7)/21

x = 7/21

x = 1/3

x = 1/3 is your answer.

Answer 2

Answer:

Answer: is 3 unless you mean that the x=7 if you mean that then it would be 147

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LOOK, 25 POINTS Y'ALLthis is a logic-math combo question that was from my 5th grade math book (singapore math). just for fun. I never solved it on my own. MUST SHOW ALL WORK

there are 4 single digit whole numbers represented by A, B, C, D. They are all different numbers.

when you multiply ABCD with D, you get DCBA

solve for the values of A,B,C, and D

(note: if A=2,B=3,C=4,D=5 then ABCD=2,345, but that is not the solution)

Show all work and do not copy

Answers

To start, ABCD(D)=DCBA means that D×A=D because they're all single digit numbers and since nothing carries over to make DCBA a 5 digit number A must be 1. If A is 1 for ABCD(D)=DCBA that would mean D^2 is a number ending in 1 so the only possibility for D is 9. Since D is 9, D×B has to be less than 10 because we know nothing carries over to the D×A (9×1) so B has to be 0. So far we have 10*9(9)=9*01 and since D×D (9×9) is 81 we need a number divisible by 9 that ends with 2 to add to the 8 digit which the only possibility is 72 from 8×9. SO A=1, B=0, C=8, D=9
1089(9)=9801

Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?D(9, 3)
D(4, 4)
D(3, 3)
D(8, 4)

Answers

Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

$Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))$

Therefore, for, the segment AB, we have;

m = (7 - 3)/(8 - 2) = 4/6 = 2/3

m = 2/3

Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2

The equation of the segment CD in point and slope form is therefore;

y - 1 = -3/2×(x - 6)

y - 1 = -3·x/2 + 9

The standard form of the equation of the segment CD is therefore;

y = -3·x/2 + 9 + 1 = -3·x/2 + 10

y = -3·x/2 + 10

The point that satisfies the above equation is the point (4, 4) because;

4 = -3 × 4/2 + 10

The correct option is therefore, D(4, 4).

Emma has half of her investments in stock paying a 9% dividend and the other half in a stock paying 11% interest. If her total annual interest is $420, how much does she have invested?

Answers

If her total annual interest is $420. Then the amount of invested will be $4200.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred.

Emma has half of her investments in stock paying a 9% dividend and the other half in a stock paying 11% interest.

If her total annual interest is $420.

Then the amount of invested will be

Let x be the invested amount.

0.09(x/2) + 0.11(x/2) = 420

(x/2) (0.09 + 0.11) = 420

x/2 = 2100

x = $4200

More about the percentage link is given below.

brainly.com/question/8011401

#SPJ2

x/2 x .09 =y
x/2 x .11= z

y + z = 420
((x/2) x .09) + ((x/2) x .11) = 420

.09x/2 + .11x/2 = 420
.2x/2= 420
.1x=420
x=4200

Plug that value back into the originals to check

4200/2 x .09 = 189
4200/2 x .11 = 231
-------
420

She invested 4200 dollars

True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events

Answers

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be $(4)/(52)$

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. Thus, the answer to this question is TRUE

Which numbers should be multiplied to obtain 175^2 − 124^2?51 and 299

51 and 51

30501 and 30749

2601 and 2601

Answers

you have to multiply 51 and 299 you will gets 15249 wich is the same as 175^2 - 124^2

Your Answer:

A.) 51 and 299

Step-by-step explanation:

In order to find out what other numbers are multiplied to obtain x, our unknown value, we must first square 175² - 124². 175² is equal to 30625 and 124² is equal to 15376. When we subtract 30625 and 15376, we get 15249. Now that we have found out our once unknown value, we will multiply the numbers from the list of choices to see which to values lead up to the product 15249. After multiplying 51 and 299, we find that they equal 15249, our desired answer.

Hope this helps y'all :D

Jamal borrowed $625 from his brother 8 years ago. Jamal repaid his brother in full with $830. What simple annual interest rate did Jamal pay?A. 4.0%
B. 4.1%
C. 4.2%
D. 4.3%