The science club sells T-shirts for $10 each and key chains for $2 each in a fundraiser with a $500 goal. How many T-shirts and key chains could they sell to meet or exceed their goal?

Answers

Answer 1

Answer:

20 tshirts and 150 keychains

Step-by-step explanation:

let tshirts be 10x and keychains be 2y

now make a Quadratic equation,

10x+2y=500

=let x = 20

=(10×20)+2y=500

=200+2y=500

=2y=300

y=300/2 = 150

therefore 20 tshirts and 150 keychains sumsup their goal of 500 dollars


Related Questions

what are the angles!

Answers

Answer:

Acute, Straight..... thats all i know

Step-by-step explanation:

write the equivalent fraction by division 30 by 42​

Answers

Answer:

5/7

Step-by-step explanation:

5/7 is the simplified fraction for 30/42 by using the GCD or HCF method

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC= 10 and DC = 4, what is the length of AC? (Note: the figure is not drawn to scale.)​

Answers

Answer:

AC = 25 units

Step-by-step explanation:

Length of BC = 10 units

Length of DC = 4 units

We will use geometric mean theorem in the given right triangle to get the length of side AC.

[tex]\frac{\text{Hypotenuse}}{\text{leg}}=\frac{\text{leg}}{\text{Projection}}[/tex]

[tex]\frac{AC}{BC}=\frac{BC}{DC}[/tex]

[tex]\frac{x}{10}=\frac{10}{4}[/tex]

x = [tex]\frac{10\times 10}{4}[/tex]

x = 25 units

12x+4x=?

Please help!

Answers

Answer:

48x i belive is the answer

Step-by-step explanation:

Which expressions are equivalent to 1/2+3c+4/5?Check all that apply.

Answers

Answer: A, C and E.

Step-by-step explanation:

The expressions 1/2 + 3c + 4/5 is thesame as writing 3c + 1/2 + 4/5, 1/2 + 4/5 + 3c, 4/5 + 1/2 + 3c, 3c + 1/2 + 4/5.

In all the expressions written above, the only thing that can be seen is just that the position of the numbers were alternated.

Therefore, based on the options given, the answer will be A, C, and E.

you can find the constant of proportionality by finding the ratio of

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Step-by-step explanation:

The proportionality constant is the ratio of two directly proportional quantities.

What is a constant of proportionality?

The proportionality constant is the ratio of two directly proportional quantities. When two quantities increase and decrease at the same rate, they are directly proportional. The proportionality constant k is given by k=y/x, where y and x are two directly proportional quantities.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Two numerical sequences, often experimental data, are said to be proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.

To know more about the constant of proportionality follow

https://brainly.com/question/28413384

#SPJ2

Write the equation of a line with points (2, -4) and (4, 2) in slope-intercept form

Answers

Answer:

y=3x -10

Step-by-step explanation:

find the value of x in each of the given triangles.​

Answers

Answer:

45?

Step-by-step explanation:

helpp ill mark u as brain list​

Answers

Answer:

19.7

Step-by-step explanation:

We need to find the hypotenuse of the blue triangle, as stated in the hint. We know the sides of the base measure 8 x 15 respectively so let's use Pythagorean Theorem;

8^2 + 15^2 = (hyp.)^2,

hyp = √8^2 + 15^2 = √64 + 225 = √289 = 17

Now the height of the yellow triangle is 10 inches. The hypotenuse of the blue triangle is now the base of the yellow triangle. The dimensions are 10 x 17 respectively so we can determine it's hypotenuse;

hyp (yellow triangle) = √17^2 + 10^2

                                   = √289 + 100

                                   = √389 ≈ 19.7 in.

Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?

Answers

Answer:

360 calories

Step-by-step explanation:

360

Answer:

360

Step-by-step explanation:

The perimeter of Square three is 20.4 square units in the perimeter of square two is 27.2 square units what is the area of square one

Answers

Answer:

a=554.88

Step-by-step explanation:

20.4*27.2=

What's 80 to the power of 1

Answers

Answer:

Step-by-step explanation:

pls help!
and a reason.

Answers

Answer:

[tex]\angle BDA = 72^{\circ}[/tex]

[tex]\angle DAB = 36^{\circ}[/tex]

[tex]\angle BDC = 108^{\circ}[/tex]

[tex]\angle BCD = 36^{\circ}[/tex]

[tex]\angle DBC = 36^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle ABD = 72^{\circ}[/tex]  

Required

Determine the missing angles

Since AB = AD, then:

[tex]\angle ABD = \angle BDA[/tex] --- Base angles of an isosceles triangle

Hence:

[tex]\angle ABD = \angle BDA = 72^{\circ}[/tex]

[tex]\angle ABD + \angle BDA + \angle DAB = 180^{\circ}[/tex] --- angles in a triangle

[tex]72^{\circ} + 72^{\circ} + \angle DAB = 180^{\circ}[/tex]

[tex]144^{\circ} + \angle DAB = 180^{\circ}[/tex]

Collect Like Terms

[tex]\angle DAB = 180^{\circ} - 144^{\circ}[/tex]

[tex]\angle DAB = 36^{\circ}[/tex]

[tex]\angle BDA + \angle BDC = 180^{\circ}[/tex] --- angle on a straight line

[tex]72^{\circ} + \angle BDC = 180^{\circ}[/tex]

[tex]\angle BDC = 180^{\circ} - 72^{\circ}[/tex]

[tex]\angle BDC = 108^{\circ}[/tex]

Since ABC is isosceles, then:

[tex]\angle DAB = \angle BCD = 36^{\circ}[/tex] --- base angle of isosceles

[tex]\angle BCD = 36^{\circ}[/tex]

Lastly:

[tex]\angle BCD + \angle BDC + \angle DBC = 180^{\circ}[/tex]

[tex]36^{\circ} + 108^{\circ} + \angle DBC = 180^{\circ}[/tex]

[tex]\angle DBC = 180^{\circ} - 36^{\circ} - 108^{\circ}[/tex]

[tex]\angle DBC = 36^{\circ}[/tex]

See attachment

Solve the system of equations by using substitution.
y = 2x – 3
y = x+4

Answers

Answer:

point form=7,11     x= 7,y =11

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x-3

y=x+4

2x-3=x+4

2x-x=4+3

x=7

y=7+4=11

Help me please :( !
Kevin and christy both saved money for their class trip . Kevin saved the same amount each week . The total amount that Kevin saved at the end of every two weeks in shown in the table below .

Answers

Answer:

D. Christy saved $3 per week more than Kevin.

Step-by-step explanation:

We already know how much Christy saves per week, because of the equation y = 26x. She saves $26 per week.

To find Kevin's per week savings, divide y by x. I'll do (6, 138) as an example.

138 / 6

What multiple of 60 is closest to 138 without going over. That's 120.

138 - 120 = 18

Now we know the constant (k) is greater than 20.

18 / 6

6 goes into 18 three times.

20 + 3 = $23 per week.

$23/week is less than $26/week, so to say Kevin earned more than Christy in one week is wrong. As a result, A and C are out.

Now subtract 23 from 26 to get a $3 per week difference, which is D.

% of $900,000 = $225,000

Answers

Answer:

25%

Step-by-step explanation:

225,000/900,000 = 0.25

0.25*100 = 25%

The price of a new car was £12500
It is reduced to £11625
Work out the percentage reduction.​

Answers

Answer:

7% decrease

Step-by-step explanation:

12500 - 11625 = 875

875/ 12500 = 0.07

0.07 × 100 = 7

Answer:

7%

Step-by-step explanation:

Find the slope of the line through (4, 6) and (4, 10).

Answers

Answer:

Infinity

Step-by-step explanation:

4,6 and 4,10

10 - 6=4

4 - 4=0

4 divided by 0 = Infinity

The slope is positive 4

10 POINTS!!! WILL MARK BRAINLIEST

Answers

Answer:

y=5

Step-by-step explanation:

75+3x+(4x+10)

ok look at the triangle 2 sides are congruent means 2 angles are congruent

that means that 75 and 3x are congruent

75=3x

divide by 3 both sides

x=25

75+75=150

30=4y+10

y=5

I got it to be 2(2y+5)

I’d really appreciate your help for this question!!

Answers

Answer:

Step-by-step explanation:

the reason the questions may not be making sense to you is that there is a mistake in the written question they say 2 and 6  but meant 20 and 60.... and if that was the question the f(x) = 11x + 1 best describes that

is this a right triangle? 6, 9, 15

Answers

Answer:

um u put numbers not triangle but also if u meant the numbers it would Correct

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

solve 10x-10g(4x-2)=1 ​

Answers

Answer:

Below

Step-by-step explanation:

x=[tex]\frac{1-20g}{10(1-4g)}[/tex]

Answer:

using BODMAS=(4x-2)=(2x)

10x-10g(2x)=

10x=10+(2x)=

10x=20x

divide both sides by 10

10x/10=20x/10

x=20/10

x=2

What is the value of the discrimant 2X^2-6x-1

Answers

Answer:

44

Step-by-step explanation:

D=b²-4ac=(-6)²+4×2×1)=44

Answer:

1/10x(20x^2-60x-11)

Step-by-step explanation:

True or False: The following pair of functions are inverse functions.
f(x)=-3x
g(x) = 1/3x
True
False

Answers

Answer:

False is the correct answer✔✔✔

Step-by-step explanation:

Answer:

its is false

but yeah just adding tk it

112 is 70% of _______

Answers

Answer:

160

Step-by-step explanation:

70% of 160=112.

A handy trick is to divide the number by the percentage.

Brainliest please I need those points.

160
112 is 70% of 160

Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.

Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).

Answers

Answer:

y = -4x + 5

Step-by-step explanation:

Here, we want to get the equation of the line that passes through the given points

The general form is;

y = mx + b

where m is the slope and b is the y intercept

To find the slope, we use the slope formula

this is ;

m = (y2-y1)/(x2-x1)

(x1,y1) = (0,5)

(x2,y2) = (2,-3)

m = (-3-5)/(2-0) = -8/2 = -4

To get the y-intercept we simply substitute one of the points

But we know that the y-intercept is the y-value when x = 0

From the point we can see (0,5) which means that the y-intercept is 5

so the equation of the line is;

y = -4x + 5

The equation of the graph in slope intercept form is y = -4x + 5

Using slope intercept equation

y = mx + b

where

m = slope

b = y- intercept

Therefore,

Let's take 2 coordinates to get the slope.

(1, 1)(0, 5)

y-intercept  = 5

Therefore,

m = 5 - 1 / 0 - 1 = - 4

y = -4x + 5

learn more: https://brainly.com/question/18750481?referrer=searchResults

What are some different ways to write
numbers that are equal to 1:2?

Answers

Answer:

2:4, 4:8, 32:64, 8/16, 14/28

Please help! I can't seem to figure this stuff out...Final

Answers

Answer:

The answer is D

(0,-4)

Step-by-step explanation:

It takes April 7 3/8 to get to her grandparents house so far she has driven 3 5/6 hours what is the best estimate of how much longer she has driven

Answers

Answer:

Time remain = 85/24 hours

Step-by-step explanation:

Given:

Total time taken by April = [tex]7\frac{3}{8}[/tex] hours

Time she already drive = [tex]3\frac{5}{6}[/tex] hours

Find:

Time remain

Computation:

Time remain = Total time taken by April - Time she already drive

Time remain = [tex]7\frac{3}{8}[/tex] hours - [tex]3\frac{5}{6}[/tex] hours

Time remain = 85/24 hours

The distance of d across the square

Answers

Answer:

6 root 2 is the answer...

or, 8.485

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