Question 2 (1 point)
In a football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals. The team scores six times. Write
and solve a system of equations to find the number of touchdowns and field goals that the home team scored.

Answers

Answer 1

Answer:

(2,4)

Step-by-step explanation:

Equation 1:

x+y=6(for the 6 times they scored)

x=-y+6

Equation 2:

7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)

7(-y+6)+3y=26(replace x with -y+6)

7y+42+3y=26(distrubite property)

-4y+42=26

-4y= -16

y= 4

Now that we know that y is equal to 4:

x+4=6

x=2

Answer 2

The number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Let the number of points touch down be xLet the number of -point field goals be y

If the team scored six-time, this is expressed as;

x + y = 6

y = 6 - x ........................ 1

If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;

7x + 3y = 26 ...................2

Substitute equation 1 into 2 to have:

7x + 3(6-x) = 26

7x + 18 - 3x = 26

4x + 18 = 26

4x = 26 - 18

4x = 8

x = 2

Recall that y = 6 - x

y = 6 - 2

y = 4

Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Learn more on simultaneous equations here: https://brainly.com/question/6597041


Related Questions

4.5/w = 3

what is the W?​

Answers

Answer:

w=1.5 or w=13.5

Step-by-step explanation:

this is one answer:

multiply w on both sides to leave u with

4.5=3w

divide both sides by 3

[tex]\frac{4.5}{3}=\frac{3w}{3}[/tex]

1.5=w

_____________________

this is the second one if the first one is wrong:

multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.

then 3*4.5=13.5

w=13.5

hope dis helps if not then im not dat smart enough ;?

(picture)
for each number on the left,place a check mark under the numbers it is divisible by.​

Answers

45- 3, 5, 9

369- 3, 9

7870- 2, 5, 10

1976- 2, 4,

6003- 3, 9

136- 2, 3, 4

1674- 2, 3, 6, 9

35496- 2, 3, 4, 6, 9

Express this ratio in its simplest form.

240cm : 3.6m

Answers

240 cm : 3.6m
convert 3.6m into cm :
3.6 x 100 = 360cm

240cm : 360cm
2 : 3

HELP PLZZZZZZZZZZ ITS DUE NOW

Answers

Answer:

yes its a right trinagle

Step-by-step explanation:

well first it has a right corner which is a right angle you can tell by putting your hand like a L

Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.

Answers

Answer:

After solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]

Option B is correct.

Step-by-step explanation:

We are given compound inequality: [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex]

We will first solve the inequalities to find the value of x, then will draw the graph.

[tex]1.5x-1>6.5 \ or \ 7x+3<-25\\1.5x-1+1>6.5+1 \ or \ 7x+3-3<-25-3\\1.5x>7.5 \ or \ 7x<-28\\x>\frac{7.5}{1.5} \ or \ x<\frac{-28}{7}\\x>5 \ or \ x< -4[/tex]

So, after solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]

Now, the number line will be as shown in figure.

The description as given in options is:

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

so, Option B is correct.

Answer:

the answer is b

Step-by-step explanation:

2020 edge

Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.

Answers

Answer:

Step-by-step explanation:

3.8-2.923

Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.

pls answer QUICK PLSSSS

Answers

Step-by-step explanation:

1) 13.57

+2.93

With this, we subtract from the back Meaning we add starting from back to forward;

13.57

+2.93

16.50

We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.

help i’m timed pllzzzzz

Answers

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

The standard form of trinomial is given as:

[tex]ax^2+bx+c[/tex]

And the factored form is:

[tex](px+r)(qx+s)[/tex]

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

My grandfather is shrinking. He decreases in size 1/4 cm each year. What is his total change in height over 5 years. Write your answer using negative numbers

Answers

Answer:

That old mans change in height is -1 1/4 over 5 years.

Step-by-step explanation:

Answer:

-5/4 cm would be the answer.

Step-by-step explanation

This is the answer because -1/4 cm multiplied by 5 years would equal -5/4 cm.

PLEASE HELP !! BRAINLIEST AND 10 POINTS

Answers

POINT A I had the same question in my math class !!!

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Answers

Answer:

              d = 6

Step-by-step explanation:

[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]

The function y=2x+6 is shifted down 8 units. What is the equation of the new function?

Answers

Answer:

y = 2x -2

Step-by-step explanation:

When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.

Confused and I need help please

Answers

Y=Mx+b
10=-4(-3/2)+ b
10 = -6 + b
16 = b
Y int =b = 16
use the y=mx+b method and u plug everything in and get your answer

Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9

Answers

Answer:

A) - 54.48

Step-by-step explanation:

Just plug it into the calculator like this;  (-68.1) x 0.8, which equals -54.48.

the answer is negative because you multiplied a positive # and a negative #.

In a certain​ chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 286 of copper. How many grams of zinc does it​ contain?

Answers

Answer: It contains 88 g of zinc.

Step-by-step explanation:

Given: The ratio of zinc to copper is 4 to 13.

Ratio can be written as [tex]\dfrac4{13}[/tex]

A jar of the chemical contains 286 g of copper.

Let the quantity of zinc be x.

By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]

Hence,  It contains 88 g of zinc.

Leila and Jo are two of the partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $60 profit on the first item they sell, how much profit does Leila make? pls help U_O​

Answers

Answer:

54

Step-by-step explanation:

hi

Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9 + 6)
9(1 + 54)
9(1) + 9(54)

Answers

the answer is the first one 9(1+6)

Answer:

A-9(1=6)

Step-by-step explanation:

Correct on edg

How do I answer questions that I don't know

Answers

Answer:

look it up

Step-by-step explanation:

Try and find a way to look it up.

Answer:

Im gussing you are talking about this website/app you dont have to answer all the questios you ca skip them if you dont know them and find another one to answer

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 123°

General Formulas and Concepts:

Geometry

Corresponding Angles

Step-by-step explanation:

The angles on the transversal and parallel lines are Corresponding Angles. Therefore, according to the definition, they are congruent.

Help please ASAP Thank you

Answers

Answer:

uh is  it 2 and o.6 i think

Step-by-step explanation:

PlS HELP QUICKLY :One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.:
Guys pls help and find what C is equal to.

Answers

Answer:First suppose that the roots of the equation

x2−bx+c=0(1)

are real and positive. From the quadratic formula, we see that the roots of (1) are of the form

b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2.

For the root or roots to be real, we require that b2−4c≥0, that is, b2≥4c. In order for them to be positive, we require that

b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0.

This immediately tells us that b>0, but we can go further. We can rearrange this to get

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

which (assuming that b>0) is true if and only if

b2>b2−4c,

since both sides of the inequality are positive so we may square. But then

4c>0.

That is, if the roots are real and positive then b>0 and b2≥4c>0.

Now suppose that b>0 and b2≥4c>0.

Then the roots of (1) are real since b2−4c≥0, and b>0 guarantees that the root b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√ is positive.

So it remains to show that b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0. We have that

4c>0,

so that

b2>b2−4c,

then square rooting shows that

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

so the roots of (1) are real and positive, as required.

Approach 2

the curve y equals x squared minus b x plus c showing two positive roots for y equals zero

This is intended to be a proof without words! We have from the diagram that:

If c, b and b2−4c are all positive, there are two real positive roots for x2−bx+c=0 (if b2=4c, we have two real positive equal roots).

If there are two real positive roots for x2−bx+c=0, then c and b are positive and b2−4c is non-negative.

(Why is the distance between the roots b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√?)

Approach 3

When solving problems about the roots of polynomials, it is often useful to find expressions those roots must satisfy and see if this tells us anything new. If α and β denote the roots of the equation, then

x2−bx+c=(x−α)(x−β)=x2−(α+β)x+αβ

and so α+β=b and αβ=c.

We also know that the roots of a quadratic equation are real if and only if the discriminant is non-negative, that is, if and only if b2−4c≥0.

Using these facts, if α and β are both real and positive, then b=α+β>0, c=αβ>0 and b2≥4c, as above.

Conversely, if b>0 and b2≥4c>0, then we know the discriminant is positive and hence both roots are real. We also have that

αβ>0(2)

and

α+β>0.(3)

As α and β are both real, by (2), we know that α and β are either both positive or both negative. However, if α and β were both negative, then (3) could not possibly hold. Hence α and β are both positive, as required.

We now sketch on a graph the region where b>0, c>0 and b2≥4c:

The curve b squared = 4 c as a quadratic with the c-axis vertical and the b-axis horizontal. The region below it is shaded.

The region of the b-c plane for which b>0, c>0 and b2≥4c

Sketch the region of the b-c plane in which the roots of the equation are real and less than 1 in magnitude.

We know that in order for the roots to be real we need b2≥4c as in the first part. We now need to find the region where

−1<b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.(4)

We have b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2≤b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2 so we only need to consider the values for which both

−1<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2andb+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.

Firstly, we will consider the values for which

b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2.

Rearranging gives

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2−b.

So b<2, as the square root is non-negative, and we can square both sides to get

b2−4c<4−4b+b2,

which we may rearrange to find c>b−1.

We will now consider the values for which

−2<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√.

Similarly, we can rearrange to get

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<b+2.

So b>−2, and we can, as before, square to get

b2−4c<b2+4b+4,

and hence c>−b−1.

To sketch the graph, we start by considering the boundary curves b2=4c, c=b−1 and c=−b−1, and the points at which they intersect. We can see that the two lines only intersect when b=0 and c=−1, and the lines intersect the curve when

b2=4b−4andb2=−4b−4

which rearrange to

(b−2)2=0and(b+2)2=0.

This tells us that each line intersects with the curve in only one place and so these lines must be tangent.

Is there a way we could have deduced this directly from (4)?

What do the lines being tangent signify in terms of our equation x2−bx+c=0?

Is this a representation of a well-known property of these equations?

Sketching the graph then yields the following picture:

The graph with the previous curve and the lines 4 c = 4 b minus 4 and 4 c = minus 4 b - 4. Each line touches the curve once and the two lines intersect at (0, minus 1). The region between the three lines/curves is shaded.

The shaded region is where b2≥4c, c>b−1, c>−b−1 and −2<b<2

We might notice that when we derived the inequalities c>b−1 and c>−b−1, a lot of the work we did was very similar.

We might also notice that the graph above is symmetric about the c axis. Why is this?

Does the graph give us any ideas about how we might deduce one inequality from the other?

Step-by-step explanation:

monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally

Answers

Answer:

She originally had 7 necklaces.

Step-by-step explanation:

She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.

Answer:

i think 28 possibly

Step-by-step explanation:

because she bought 4 new ones so 18-4 =14x2 =28?

i don't know if im right but hopefully this helped

Choose the correct answer to 8,817/43.
25 R2
205
205 R2
204 R45

Answers

Answer:

204 R45

Step-by-step explanation:

Answer: The answer will be 205 R2

Step-by-step explanation:

I know this because the steps to dividing are:

D - Divide

M - Multiply

S - Subtract

B - base(total)

If you do all of those steps then you'll get 205 R2

R = remainder(left overs)

So, the answer will be 205 R2

What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)

Answers

Answer:

x= 19/7

Step-by-step explanation:

WILL GIVE 75 POINTS!! will send $2 IN CASHAPP!

Here are recipes for two different banana cakes. Information for the first recipe is shown in the table.
1st Recipe: y = 1.5x
2nd Recipe: y = 7/4x
If you used 4 cups of sugar, how much flour does each recipe need?

a. First: 2 cups, Second: 8 cups
b. First: 7 cups, second: 6 cups
c. First: 4 cups, second: 2 cups
d. First: 6 cups, Second: 7 cups

Answers

Step-by-step explanation:

H hvuvuvuvuvuv9yvig kg

I need helppppp I forgot how to do this :(

Answers

a=associates / p=partners

1a= $800 / 1p= $1500

(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800

(x)a + (y)p = $z

hope this helps :)

pls help find the inequality represented by the graph​

Answers

Answer:

use the linear equation of a line

equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

now u do the rest

Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.

Answers

$4 a clip $1.00 for shipping for each order because 33.75x44.25=78
4x19(clips total)= 76
78-76=2
2/2=1
so $1 for shipping for each order and $4 a clip

Write each equation in standard form.

Y - 4 = -3 (x - 3)

Y + 9 = 2(x + 5)

Answers

Answer:

y-4=-3(x-3)
y-4=-3x+9
y=-3x+9+4
y=-3x+13

y+9=2(x+5)
y+9=2x+10
y=2x+10-9
y=2x+1
I’m


Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover

Answers

Answer:

He can make 4 batches of sugar cookies.

Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left

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Homer is 30 feet below sea level and Marge is 45 feet above sea level. Barts elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Barts elevation? if you need help with Math:) josh earned $30,000 last year if the tax rate was 15%,how much money can he keep after taxes Factor the Expression. 121x + 44 *11(10x + 4)21x + 411(11x + 44)11(11x + 4) Plz help plllzzzzzzzz DNA and RNA are both types of A. enzymesB. polysaccharidesC. proteinsD. nucleic acids Find the cost with sales tax for an item with a purchase price of $7. Assume that the sales tax is 8%, or 0.08 times the price.Group of answer choices 8(a+4)=___a+___ PLZ HELP IM STUCK ON THIS PLEASE HELPA car dealer offers a 15% discount off the list price x for any car on the lot. At the same time, the manufacturer offers a $1500 rebate for each purchase of a car.a. Write a function f(x) to represent the price after the discount is applied.b. Write a function g(x) to represent the price after the rebate is applied.Suppose the list price of a car is $19,000. Use a composite function to find the priceof the car: C. if the discount is applied before the rebate;D. if the rebate is applied before the discount Chance rode his bike for x minutes, and Jaden rode his bike for 3/8 more than that.Part AWrite and equation using fractions that relates the number of minutes Chance rode with y, the number of minutes that Jaden rode his bike. (write your answer as a fraction)y= __ xPart BWrite an equation, using decimals, that relates the number minutes chance rode with y, the number of minutes that Jaden rode his bike.y=___ x who are satisfied with their school grades...why? or why are they not? Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week? You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of . Derive an expression for the enclosed area A() with respect to the angle (see drawing). The sum of two numbers is 8. The difference of the same two numbers is 4. What are the two numbers? Help meeeeeeeee plz plz plzzzz A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?(b) 30 rats were measured? According to the graph about ______of GDP was earned in trade in 1993. About_____of GDP was earned in trade in 2013. From 1998 to 2013, the percentage of GDP earned from trade ____. Please help me Borrowers choosing an adjustable-rate mortgagepay a higher interest rate during the first few years.are often forced to sell their homes after the first year.often pay a lower interest rate during the first few years.agree to accept no risk when borrowing money. I need help with this assignment An employee of ____ of Bellevue was sued for trying to steal technological secrets.