Writing system of equations (50 points)


-A math quiz has a total of 25 questions. Some questions or worth 1/2 a point and some questions or worth 1/4 point there are a total of 10 points available. Write a system of equations that model the situation

Answers

Answer 1

The required equation is x×1/2+25-x ×1/4=10

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, A math quiz has a total of 25 questions. Some questions or worth 1/2 a point and some questions or worth 1/4 point there are a total of 10 points available. let there be x 1/2 points question and 25-x 1/4 points question, then

x×1/2+25-x ×1/4=10

Hence, this is the required linear equation

Learn more about linear equations here;

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Related Questions

a block that is 2 inches wide,3 inches long, and 2 inches tall. what is the volume of a tower that is built by 3 blocks?​

Answers

Answer:

36

Step-by-step explanation:

length*Width*height

3*2*2=12

12*3=36

2a+3b=5
b=a-5 help please

Answers

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

Please help!! Given that triangle ABC is congruent to triangle DEF, the measure of angle A = 70°, the measure of angle B = 60°, the measure of angle C = 50°, the measure of angle D = (3x + 10)°, the measure of angle E = (y/3 + 20)°, and the measure of angle F = (z^2 + 14)°, find the values of x, y, and z.

Answers

Answer:

Ok so since the triangles are congruent, that means that the corresponding angles are congruent. This means angle A = angle D, angle B = angle E, and angle C = angle F.

So:

angle A = angle D

70 = 3x + 10

3x + 10 = 70

3x = 60

x = 20

angle B = angle E

60 = y/3 + 20

y/3 + 20 = 60

y/3 = 40

y = 120

angle C = angle F

50 = z^2 + 14

z^2 + 14 = 50

z^2 = 36

z = 6 (or -6)

Answer:

Step-by-step explanation:

1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)

Answers

Answer:

A. Yup. A.

Step-by-step explanation:

PLZ help me i will give u many points

Answers

Answer:

im pretty sure its the last one

Step-by-step explanation:

Answer:

be

Step-by-step explanation:

A figure is shown
9 in.
3 in.
2 in.
3 in.
Which expression shows how to find the area of the figure?
A. 9x2 + 3x3
O C. 9+3+2+3
B. 9x 3 + 3 x 2
OD. 9 X5
What is the area of the figure? Enter the answer in the box.

Answers

Answer:

C. 9×3 + 3×2

The area of the figure is 33 in.

Step-by-step explanation:

Area is:9x5

Hope i could help u

Joe determined the mass of 2 boxes using a scale. Since the cost of each box is the same, Joe would like to choose the box with the larger mass. Box A Box B 32.012 kg 32.02 kg Place the correct symbol between the 2 masses to help Joe decide. 32.012 Response area 32.02

Answers

Answer:

32.012 kg < 32.02 kg

Step-by-step explanation:

32.012 kg < 32.02 kg

A line segment with endpoints A(−2, 1) and B(2, 1) is dilated with a dilation centered at the origin and a scale factor of 52 to create A′B′¯¯¯¯¯¯¯¯¯¯. Which of the following statements regarding AB¯¯¯¯¯¯¯¯ is not true?

Answers

Answer:

AB = 5/2 A'B'

Step-by-step explanation:

the other answers:

2)    (−1, 3/2)

3)    8 inches

4)    The scale factor is between 0 and 1

5)     (8, −4) and (−4, −12)

I just took the quick check, these are the answers. I know you already took it so this isn't helpful but if anyone else needs it^^

Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE I’ll give you BRAINLEST

Answers

Step-by-step explanation:

find the slope

-1 - 8/ -2 - -4 = -9/2

y - -1 = -9/2(x - -2)

y +1 = -9/2(x+2)

y = -9/2x -10

Answer:

y=-9/2x-10

Step-by-step explanation:

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

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

The population of a town has been growing, following the equation P=400t+3000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+35.

Complete an equation for the number of restaurants per capita (per person)

Restaurants per capita: ______

How many restaurants per capita does this model predict for the year 2016?_______

Please also explain it to me, only if you can! Thank you!

Answers

Step-by-step explanation:

t is time since 2010. so,

the population prediction for 2016 is :

p= 400 ( 2016-2010)+3000

p= 400 (6) + 3000=5400

the number of restaurant prediction for 2016 is.

R=6(2016-2010)+35

R=6 (6)+35=71

so, per capita (per person) there would be:

71 restaurant for 5400.

people that is :71/5400 or 0.0131 restaurant per person.

per restaurant there would be,5400/71 or 76.056 per restaurant.

population corresponding to time (t).

=( R/ P) = (6t + 35). / 400t + 3000, where t= 2016-2010= 6 years

= 71/5400

= 0.0131

Restaurant per capita

R/P = (6t+35) / (400t + 300)

t= 2016-2010 =16

R/P = (6.16+35) /(400.16+3000)

= 131 (6400+3000)

=85/9400

=0.009042

Which expression is equivalent to (5^3)^-2

Answers

(5^3)^−2 = 5^-6 = 1/(5^6)

3. Find the volume of a hemisphere with a radius of 17 inches. Round to the nearest tenth​

Answers

To find radius the formula is V=(2/3)πr
Hope this helps:)

Which postulate or theorem can be used to prove that
ABC~A ADC?
B
• SAS Congruence Postulate
•HL Congruence Theorem
• ASA Congruence Postulate
•SSS Congruence Postulate

Answers

Answer:

sSS Congruence Postulate

The answer is SSS Congruence Postulate

Step-by-step explanation:

Question 1 of 5
Given a sphere with a diameter of 6 cm, find its volume to the nearest whole
number.
A. 113 cm3
B. 37 cm3
C. 85 cm3
D. 905 cm3

Answers

Answer:

A. 113cm³

Step-by-step explanation:

Finding the volume with diameter,

[tex]v = \frac{1}{6 }\pi {d}^{3} [/tex]

[tex]v = \frac{1}{6} \times \frac{22}{7} \times {6}^{3} [/tex]

[tex]v = 113.14cm^{3} [/tex]

to the nearest whole number

[tex]v = 113 {cm}^{3} [/tex]

Answer:

113 cm^3

Step-by-step explanation:

I Just took the quiz:)

#2 Find the value of x. Round to the nearest degree.

Answers

Answer:

49°

Step-by-step explanation:

arccos x = 15/23

How much water do you add to make 75% sugar syrup using 99g sugar?

Answers

Answer: You will need 33ml of  water added

Step-by-step explanation:

Marty sold a book online. The service charge was a 15% fee for using their website. If Marty sold the book for $60.00, how much money will Marty receive after the fee is assessed?

Answers

Answer:  Marty would receive $69.00.

Step-by-step explanation:

15% is 9 of 60.

Marty would receive 51 dollars because 15% is 9 of 60 so you subtract 9 from 60 to get what Marty would receive after the fee of 9 dollars (15%) was assessed.

Answer 51

FIRST CORRECT ANSWER GETS BRANLIEST

Answers

Answer:

3 : 10

Step-by-step explanation:

The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer: [tex]16p^{2} -9[/tex]

The area of the rectangle is [tex]16p^{2} -9[/tex].

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The side length of square = 4p

The length of rectangle, l = 4p+3

The width of rectangle, w = 49-3

The formula of area of rectangle is

[tex]A=lw[/tex]

⇒ [tex]A=(4p+3)(4p-3)[/tex]                 [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]

⇒ [tex]A=(4p)^{2} -3^{2}[/tex]

⇒ [tex]A=16p^{2} -9[/tex]

Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].

Learn more about the rectangles here

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Help po plss

1.jane read 10books in one year,while huan rrad 8books.find the ratio jane's to juan's finished books .

2.nadine has 860 female followers out of a total of 1260followes in the social photosharing site find the ratio of female to male followers.

3.a public school has 4415 students and 1200 teachers.what is the ratio of the students to each other teacher.​

Answers

Answer:

1. 10:8 = 5:4 (simplest form)

2. 860:400 = 43:20 (simplest form)

3. 4415:1200 = 883:240 (simplest form)

plzzzzzzzzzzz help. ​

Answers

Answer:

D. The area of the triangle is 9 square feet, because the area of the rectangle is 18 square feet.

Step-by-step explanation:

I need help with everything but A. assignment is worth 150 points

Answers

I hope this answer helps you :)

can u guys please help! tysmmmmmm

Answers

it's 88.1 x 10 to the power negative 2

and

0,0881

Step-by-step explanation:

88.1÷1000=0,0881

1. Bella and Caiden each bought a 12-oz can of soda. They are drinking their sodas at the

rates shown. Who is drinking their soda the fastest?

BELLA

CAIDEN

Min

Oz

0

12.

Ounces

20

18

16

14

12

10

8

6

4

2

2

3

4.5

4

2.

1 2 3 4 5 6 7 8 9 10

Minutes

Answers

Answer:

The question is incorrect. Please use a table or a diagram.

please help me if you can please

Answers

Answer:

hello! :) have a good day!

Exact Form:

x= 87/35

Decimal Form:

x= 2.48571428

Mixed Number Form:

x= 2 17/35

answer fast helpp.........................

Answers

Answer:

20°

Step-by-step explanation:

In circle with center O, PS is diameter.

[tex] m\angle PRS =90\degree [/tex]

(angle inscribed in semicircle)

PQRS is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

[tex] \therefore m\angle QPS + m\angle QRS = 180\degree [/tex]

[tex] \therefore (x\degree +25\degree) +(45\degree +90\degree) = 180\degree [/tex]

[tex] \therefore x\degree +25\degree + 45\degree +90\degree = 180\degree [/tex]

[tex] \therefore x\degree +160\degree = 180\degree [/tex]

[tex] \therefore x\degree = 180\degree-160\degree [/tex]

[tex]\huge\red {\therefore x\degree = 20\degree} [/tex]

A student needs 23 pound of modeling clay for a project. If each package has 18 pound of clay, how many packages of clay does the student need for his projec

Answers

Answer:

First from 18, you count to 23. So, 19, 20, 21, 22, 23. There were only 5 more pounds needed, so it would be, 1 full package of 18 pounds and 1 quarter of a package (I think), because it is not a full package, another full package of 18 would be 36 pounds. I hope this helped! [It might not]

Please help me please

Answers

Answer:

D

Step-by-step explanation:

Left to right so it is KM (eliminate B and C). It isn't A because the line doesn't continue to the left through point A, so it is D.

Which of the following pairs show(s) two congruent triangles?

Answers

Answer:

B only

Step-by-step explanation:

In A and in C, only the angles of one triangle are congruent to the corresponding angles of the other triangle. That proves similar triangles but not necessarily congruent triangles.

Definition of congruent triangles:

Two triangle are congruent if all angles of one triangle are congruent to all corresponding angles of the other triangle and all sides of one triangle are congruent to all corresponding sides of the other triangle.

That happens only with the triangles in B.

Answer: B only

Out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

What are congruent triangles?

Two triangles are said to be congruent if they are exactly the same i.e. corresponding sides, as well as corresponding angles, are equal.

A)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

B)Triangles shown are congruent because corresponding sides, as well as corresponding angles, are equal.

C)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

Hence, out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

To get more about congruency visit:

https://brainly.com/question/1675117

Im giving brainiest to the person who answers it first. Thank you!

Answers

Answer: Oscer

Step-by-step explanation:

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