Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
A. 1.21d
B. 0.79d
C. d + 0.79d
D. d + 0.21

Answer:

I think point D is the answer.

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Answer:

the sum of the remaining exterior angles is 174⁰

Step-by-step explanation:

Given;

the measure of two exterior angles of a decagon = 97° and 89°

The total sum of exterior angles of a polygon is 360⁰

let the sum of the remaining exterior angles = x

sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰

x + 186⁰ = 360⁰

x = 360⁰ - 186⁰

x = 174⁰

Therefore, the sum of the remaining exterior angles is 174⁰

Answer:

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Step-by-step explanation:

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

A.

Let

x = number of packets of strawberry wafers

y = number of packets of chocolate wafers

x + y = 22

3x + y = 30

B. Solve the equation in A using elimination method

x + y = 22 (1)

3x + y = 30 (2)

subtract (1) from (2) to eliminate y

3x - x = 30 - 22

2x = 8

x = 8/2

x = 4

Substitute x = 4 into (1) to solve for y

x + y = 22 (1)

4 + y = 22

y = 22 - 4

y = 18

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Answer:

-2/5

Step-by-step explanation:

The slope will be same , that is -2/5 .

Answer:

(2x-3)(2x+1)

Step-by-step explanation:

4x^2 - 4x - 3

we need two numbers that give 12 when multiplied and 4 when subtracted

the numbers are 6 and 2 because 6*2=12 and 6-4=4.

4x^2 - (6-2)x -3

4x^2 -6x +2x -3

take common

2x(2x -3)+1(2x-3)

take (2x-3) as common

(2x-3)(2x*1 + 1*1)

(2x-3)(2x+1)

Answer:

y = 0.75x + 12

Step-by-step explanation:

The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 12x + 0.75

y = 0.75x + 12

y = 12x − (775

y = 0.75x − 12

y = total cost of a child's toy

Cost of each battery = $0.75

Number of batteries = x

Cost of the toy = $12

Therefore,

total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries

y = 12 + 0.75 * x

y = 12 + 0.75x

y = 0.75x + 12

Answer:

b. Pure Imaginary Numbers.

Step-by-step explanation:

[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]

-3 is an integer, a complex number, and a rational number.

Answer: b. Pure Imaginary Numbers.

Answer:

x = 23.5

Step-by-step explanation:

For a trapezoid, the angles on the same side are supplementary. This simply mean they add up to 180 degrees

thus, we have it that;

(6x + 3) + (x + 12.5) = 180

6x + x + 3 + 12.5 = 180

7x + 15.5 = 180

7x = 180-15.5

7x = 164.5

x = 164.5/7

x = 23.5

Answer:

ok from this we know the angle of this triange are

90+47+x=180

x=43

with these if we use the proper formula we know that the two other sides are

about 21 and 23

since the top side is longer we know that X=23

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

Answer:

send one

the second one boi

Step-by-step explanation:

pls help

Answer:

(1+b)(a+4)

Step-by-step explanation:

Answer:

1.82142857143 or 1 23/28

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

51/28 or 1 23/28

Step-by-step explanation:

The LCD here is 9.  Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.

Then divide 51/9 by 28/9:  Equivalently, invert the divisor (28/9) and multiply:

(51/9)(9/28) = 51/28 or 1 23/28

5 2/3 divided by 3 1/9 is 1 23/28.

Answer:

$640.25

Step-by-step explanation:

Answer:

$640.25

Step-by-step explanation:

Answer:

the anser is 40/8 that is 5

Answer:

(6x + 2)

Step-by-step explanation:

[tex]4(x+ 1 ) + 2(x - 1 ) \\\\4x + 4 + 2x - 2 \\\\4x + 2x + 4 - 2 \\\\6x + 2[/tex]

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 [tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]

for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number

[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

Answer:

a=146°

Step-by-step explanation:

a+34 =180 degree (being linear pair

a=180-34

a=146 degree

Note: A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

Pretty sure its 30

Step-by-step explanation:

Hope this helps!

Answer:

where's the diagram can you tell

Answer:

See solutions below

Step-by-step explanation:

1) From the diagram QS = RS

3x = 2x+2

3x-2x = 2

x = 2

Since RS = 2x+2

RS = 2(2)+2

RS = 4 + 2

RS = 6

2) RQ = RS + QS

RQ = 2x+2 + 3x

RQ = 5x+2

RQ = 5(2)+2

RQ = 12

3) PQ = PR

3y-1 = y+5

3y-y = 5+1

2y = 6

y = 3

PQ = 3y-1

PQ = 3(3)-1

PQ = 8

4) PR = y+5

PR = 3+5

PR = 8

5) PQSR = PQ + QR

PQSR = 8 + 12

PQSR= 20

Answer:

ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by

465.98*0.964=

449.20472

so now we round to two points to get

449.21

Answer:

[tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes

Step-by-step explanation:

Wanda spends a third of her [tex]4\frac{1}{8}[/tex] hours studying math. Let us multiply these two fractions to find how much time she spent. Our first step would be to convert the mixed number into an improper fraction, as mixed numbers are hard to manipulate with:

[tex]4\frac{1}{8} =\\\frac{33}{8}[/tex]

Now let us multiply:

[tex]\frac{1}{3} *\frac{33}{8} =\\\frac{11}{8}[/tex]

If we wish, we can convert this into a mixed number:

[tex]\frac{11}{8}= \\1\frac{3}{8}[/tex]

or, 1 hour and 22.5 minutes.

Therefore, Wanda spent [tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes studying math.

I hope this helps! Let me know if you have any questions :)

Answer:

yes

it's -14 I'm pretty sure my guy

Answer:

3,680 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is:

length x width x height

Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.

The volume of Mr. Tai’s living room is:

10 x 18 x 8 = 1,440 cubic feet

The volume of his family room is:

14 x 20 x 8 = 2,240 cubic feet

Add the volumes of both figures:

1,440 + 2,240 = 3,680

Hope this helps!

Answer:

400%

Step-by-step explanation:

the question is asking what percent of 50 is 200

we can set up this proportion to find 'x' (the original price)

200/50 = x/100

cross-multiply to get:

50x = 20,000

x = 400%

Step-by-step explanation:

4a) The pressure of a basketball can have a large tolerance.

b) Writing an exam has a very low tolerance in terms of time allotment.

c) The amount of milk in a carton has a low tolerance.