(I'LL MARK YOU BRAINLIEST BUT PLS HELP WITH THIS)
Care packages cost $6.25 each and certificates cost $4.50 each. Mr. Fernandes has a budget of $550 to purchase both care packages and certificates. If he purchases 45 certificates, what is the maximum number of care packages he can purchase?

A) state maximum number of care packages he can purchase
B) Explain how you got it

Answer:

1. 60z, 36

2. 96a, 88

Step-by-step explanation:

1.

First, find the like terms for z. (60z)

Second, find the like terms for 20, 4, and 12. (36)

2.

Combine the 88a and 8a (96a)

Then combine 8 plus 80 (88)

Answer:

(50z+20)(10z+4)

=50z(10z+4)+20(10z+4)

=500z²+200z+200z+80

=500z²+400z+80

(88a+80)(8a+8)

=88a(8a+8)+80(8a+8)

=704a²+704a+640a+640

=704a²+1344a+640

Step-by-step explanation:

i hope this will help you:)

Answer:36π mm^2

Step-by-step explanation:

Formula for area of a circle =

πr^2

r=6mm

π*6^2

π*36

36π mm^2

Answer:

36 π mm²

Step-by-step explanation:

r= 6 mm

A= πr²

A= π* 6²= 36 π mm²

Answer:

5.0 [tex]m^3[/tex]

Step-by-step explanation:

The volume of a rectangular  prism is given as:

V = L * W * H

where L = length

W = width

H = height

Put all the dimensions in the same unit, metre (m).

Length = 5 m

Width = 40 cm = 40 / 100 = 0.4 m

Height = 2500 mm = 2500/1000 = 2.5 m

The volume of the prism is:

V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]

Answer:

The answer is 22 degrees :)

Step-by-step explanation:

So you know that altogether the right angle forms 90 degrees,

if angles <DAC are 68 degrees you would subtract 90 degrees from 68 degrees because you already have the angle measure for i side now you subtract the total angle from the angle measure you know.

90-68=22 degrees

your answer would be 22 degress :)

Answer: x = 5

Step-by-step explanation:

14 / 2 = 7

7 * 5 = 35

Same applies for x

2 / 2 = 1

1 * 5 = 5

Answer:

3332 green beads

Step-by-step explanation:

There are 1428 more green beads than red beads.

There are 3,332 greed beads in the box

Given :

A box contains red, purple and green beads in the ratio 4:6:7

From the given ratio,

number of red beads = 4x

number of purple beads= 6x

number of green beads= 7x

There are 1428 more green beads than red beads.

green  beads =1428 + red beads

[tex]7x=1428+4x\\3x=1428\\x=476[/tex]

we know that number of green beads= 7x

number of green beads= [tex]7(476)=3332[/tex]

There are 3,332 greed beads in the box

learn more : brainly.com/question/20318626

Answer:

w=6

Step-by-step explanation:

w=6

If you double 5 on the bottom to get 10, you will also have to double 3 on the top.

An easy way you could do this is by cross products. 3(10)=5(w). w=6

Answer:

w = 6

Step-by-step explanation:

3/5 = w/10

Cross multiply.

10 × 3 = 5 × w

Multiply.

30 = 5w

Divide 5 on both sides.

30/5 = w

6 = w

Answer:

so 2a+3b=±13

Step-by-step explanation:

4a²+9b²=97

ab=6

2a+3b=?

by using formula

(a+b)²=a²+b²+2ab

(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)

(2a+3b)²=4a²+9b²+12ab

putting values

(2a+3b)²=97+12(6)

(2a+3b)²=97+72

(2a+3b)²=169

taking square root on both sides

√(2a+3b)²=√169

2a+3b=±13

i hope it will help you

Answer:

2a+3b = 13

Step-by-step explanation:

Using this formula

[tex](x+y)^2 = x^2+y^2+2xy[/tex]

Where,

x = 2a and y = 3b

Putting in the above formula

=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]

Putting  4a²+9b² = 97 and ab = 6

=> (2a+3b)² = 97+12(6)

=> (2a+3b)² = 97+72

=> (2a+3b)² = 169

Taking sqrt on both sides

=> 2a+3b = 13

Answer:

197,8879 N.

Step-by-step explanation:

The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.

The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.

With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.

The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.

F= (120 N cos 60°) + (180 N x cos 40°)

F= 197,8879 N

Answer: y = -3x -3

Step-by-step explanation:

y = mx + b

3x + y = -3

y = -3x -3

Answer:

slope intercept form: y=mx+c

*m = gradient

*c = y-intercept

3x + y = -3

y = -3x - 3

Answer:

Point B is 4 units to the right and 2 units down

Step-by-step explanation:

Since our x is positive, we are going to the right of the x-axis (where positive values lay).

Since our y is negative, we are going down in the y-axis (where negative values lay).

Answer: point B matches (4,-2)

Step-by-step explanation:

Within parentheses, the first number is the x-coordinate. Positive numbers are given without the +sign and they go to the Right. Negative -numbers go to the left.

The second number is the y-coordinate. Positive numbers go up, -numbers that are negative go down.

In this example it will be 4 Right and 2 Down.

Answer:

4

Step-by-step explanation:

3p+8=20

3p=12

p=4

Answer:p=4

Step-by-step explanation:

2p+8=-p+20

Step 2: Add p to both sides.

2p+8+p=-p+20+p

3p+8=20

Step 3: Subtract 8 from both sides.

3p+8-8=20-8

3p=12

Step 4: Divide both sides by 3.

3p/3=12/3

p=4

Answer:

Fraction = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Total Marks = 72

Obtained Marks = 63

Fraction = [tex]\frac{Obtained Marks}{Total Marks}[/tex]

Fraction = [tex]\frac{63}{72}[/tex]

In simplified form

Fraction = [tex]\frac{7}{8}[/tex]

Answer:

y/4 + x/12

Step-by-step explanation:

The number of working toys = x

The number of broken toys = y

Bert breaks 1/3 of the working toys, that is:

1/3 * x = x/3

The number of broken toys is now:

y + x/3

Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:

1/4 *(y + x/3)

= y/4 + x/12

Answer:

D. 2/17

Step-by-step explanation:

Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.

Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.

Answer:

The answer would be a 25% chance of picking the paper with a circle on it

Step-by-step explanation:

Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.

Answer:

13,27,43,23,39.

i think these r the prime numbers

The prime numbers are:

13, 43, 23

Answer:

D

Step-by-step explanation:

[tex]\dfrac{\sqrt{4}}{\sqrt{25}}= \\\\\\\dfrac{2}{5}= \\\\\\0.4[/tex]

Hope this helps!

Answer:

B.

Step-by-step explanation:

The quickest and fastest way to do this is to guess and check. Simply plug in the given values one by one into a calc and you should see that x = 4 works.

Answer:

x=4

Step-by-step explanation:

7x-2(x - 10) = 40

Distribute

7x -2x +20 = 40

Combine like terms

5x +20 =40

Subtract 20

5x +20 -20 = 40-20

5x= 20

Divide by 5

5x/5 = 20/5

x =4

Answer:

m = -3

Step-by-step explanation:

The slope formula is y2 - y1 / x2 - x1

7 - -5 = 7 + 5 = 12

-4 - 0 = -4

12 / -4 = -3

I hope this helps :))

Answer:

work is shown and pictured

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

Answer:  C) CBA ≅ LMN

Step-by-step explanation:

Match up the congruent angles:

∠C = 35°, ∠L = 90° - 55° = 35°     --> ∠C ≡ ∠L

∠B = 90°, ∠M = 90°                     -->  ∠B ≡ ∠M

∠A = 90° - 35° = 55°, ∠N = 55°    --> ∠A ≡ ∠N

The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).

ΔABC ≅ ΔNML

ΔBCA ≅ ΔMLN

ΔCAB ≅ ΔLNM

ΔCBA ≅ ΔLMN

ΔACB ≅ ΔNLM

ΔBAC ≅ΔMNL

Any of these similarity statements can be used!

Step-by-step explanation:

The quotient is 0.125

I think this should be the answer

Answer:

0.125

Step-by-step explanation:

Answer:

147

Step-by-step explanation:

Given: Maria=3

Max=3 squared=9

Molly=Max+Maria=9+3=12

Mitch=Molly squared+Maria=144+3=147

Hope this helps!

Solution:

Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.

Answer:

RT

Step-by-step explanation:

The diameter goes from one side of the circle to the other side passing through the center

The only diameter given is RT

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Answer: 88/11.

Step-by-step explanation:

We want to find a expression, with a denominator of 11, that is equivalent to 8.

remember that if we have the expression A/B

the numerator is A, and the denominator is B.

Then we have:

A/11 = 8

we need to find the value of A.

To do this, we can multiply by 11 in both sides of the equation:

(A/11)*11 = 8*11

A = 88

Then the expression is:

88/11.

Answer:

The intial value is 1.25

Step-by-step explanation:

Answer:

7 km

Step-by-step explanation:

2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.

Answer: 7 km

Step-by-step explanation:

In 1 hour, he did 3 km

In 2 hours, he will do 6 km

20 minutes = 20/60 = 1/3

In 20 minutes, he will do 1/3 x 3 = 1 km

So total distance travelled = 7 km

Answer:

q = -p-6

Step-by-step explanation:

=> 5q+2p+4 = 3q-8

(Combining like terms)

=>5q-3q = -2p-8-4

=> 2q = -2p -12

=> 2q = 2(-p-6)

Dividing both sides by 2

=> q = -p-6

[tex]q = - p - 6[/tex]

[tex]5q + 2p + 4 - 3q = - 8 \\ 2q + 2p + 4 = - 8 \\ 2q + 4 = - 8 - 2p \\ 2q = - 8 - 2p - 4 \\ 2q = - 12 - 2p \\ \frac{2q}{2} = \frac{ - 2p - 12}{2} \\ q = \frac{ - 2p - 12}{2} \\ q = - p - 6[/tex]