Answer:
The y-intercept is 4.
Step-by-step explanation:
Our equation: y = mx + b
m = slope
b = y-intercept
=> Now, let's compare:
=> y = mx + b = y = -7x + 4
We can tell that b = 4
Hoped this helped.
[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]
A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens
pls answer it correctly
Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
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Andrew is counting the total calories in his breakfast. He knows that a bowl of his favorite cereal with milk has 200 calories. He also likes to drink a fruit smoothie with his cereal. Each ounce of the smoothie adds 25 calories. Which graph represents the total calories, y, in Andrew's breakfast if he drinks x ounces of fruit smoothie with his cereal?
Answer:
See Graph below
Step-by-step explanation:
I hope this helps anyone who needs it :)
Find the perimeter. Simplify your answer.
Answer:
p=1 2 + 2
Step-by-step explanation:
Brett made oat bars for his school's bake sale. For his first batch, Brett mixed 1 cup of caramel chips and 4 cups of oats. To make sure he had enough, he made a second batch, and mixed 2 cups of caramel chips and 8 cups of oats. Which batch of oat bars was more caramelly?
Answer:
They would be equally caramelly, the ratio of oats:caramel is equal
Step-by-step explanation:
A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?
a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]
Answer:
d)
Step-by-step explanation:
the sites of the boat alone is 16 km/h.
downstream and upstream the effective speed is then influenced plus and minus by the current.
the distance traveled is 15km.
as speed = distance/time
then distance / speed = distance / (distance/time) = time
and we know the time it takes : 5.5 hours.
so, only answer d uses the right values in the "right places".
Pls help ::::………..
——-////
Answer:
you will have $133920 intrest monthly and $151920 in the bank
Step-by-step explanation:
Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.
Can you solve for x plz?
Answer:
x=25
Step-by-step explanation:
4x+50=150
4x=100
x=25
How to find slope intercept form without a point.
|2x + 6| = 16
plsss helppp
Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
Using a minimum of two sentences, describe how to write the function, f(x) = (x 2)2 - 3, in standard form.
The function is a quadratic function, and the standard form of a quadratic function is ax^2 + bx + c
The standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
The function is given as:
[tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex]
Factor out (x - 2)^2
[tex]\mathbf{f(x) = (x - 2)(x - 2) - 3}[/tex]
Expand the expression
[tex]\mathbf{f(x) = x^2 - 2x -2x + 4 - 3}[/tex]
Simplify the like terms i.e. add -2x and -2x
[tex]\mathbf{f(x) = x^2 - 4x + 4 - 3}[/tex]
Simplify the like terms i.e. add 4 and -3
[tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
Hence, the standard form of the function [tex]\mathbf{f(x) = (x - 2)^2 - 3}[/tex] is [tex]\mathbf{f(x) = x^2 - 4x + 1}[/tex]
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Answer:
the one above is all right except its a positive 4x, the question was
f(x) = (x + 2)2 - 3
not
f(x) = (x - 2)2 - 3
the real answer is: f(x) = x^2+4x+1
write the equation of the line passing through the origin of the coordinate system and is parallel to the line x-2y+3=0
Answer:
x - 2y = 0
Step-by-step explanation:
The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0, with only the constant (3) being different. Solving this equation for y to find the slope, we get:
x + 3 = 2y, or y = (1/2)x + 3/2. The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2. This result may be rewritten as 2y = x or x - 2y = 0.
Graph the equation on the coordinate plane using the slope and y-intercept.
y=−2x
Answer:
Step-by-step explanation:
please need complete solution :(
1) Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. So, the linear inequality in 2 variables here is :- b) 3x + y > 4.
2) Linear functions are those whose graph is a straight line. Here, the linear function is :- d) f(x) = 4x + 3.
3) c) Relation is the set of all y such that y is an element of the real numbers.
4) Complementary angles make c) 90°.
5) d) Supplementary angles form 180°.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
5 900 rounded to the nearest thousand
Answer:
6000
Step-by-step explanation:
9>5 so round up
6000
Corinne made apple jam and strawberry jam. She made enough apple jam to
fill 1 jars. If she made 3 times as much strawberry jam as apple jam, how
many jars will the strawberry jam fill?
Answer:
3
Step-by-step explanation:
1 ×3 =3
apple jam times strawberry
3. At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
(a) Write an equation. Let x represent the amount of one of Sheila’s deposits.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Step-by-step explanation:
x = one deposit of Sheila
x + 10 = one deposit of Sherri
so,
6x = 5(x + 10) = 5x + 50
x = 50
x + 10 = 60
so, as check, the original equation must be true for these values :
6×50 = 5×(50 + 10) = 5×60
300 = 300
correct.
Sheila deposited 6 times $50 every time. so, in total, she deposited $300.
Sherri deposited 5 times $50+$10 = $60 every time. so, in total, she too deposited $300.
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?
Answer:
390 minutes I do believe.
Step-by-step explanation:
A baseball tournament begins with 128 teams. After each round of games, only half of the teams are left. How many teams will be left after four rounds of games?
Answer:
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
answer is 8
what is 18,678,789 times 67,897,867
Solve the slope for the table.
Answer:
The slope is 0
Step-by-step explanation:
All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.
PLSSSSS I REALLY NEED HELP IT IS DUE VERY SOON AND THIS IS MY LAST QUESTION I AM BEGGING EXTRA POINTS WILL BE INCLUDED FOR WHOEVER ANSWERS! GRAPH AND TABLE INCLUDED! the graph shows the relationship between the distance that a snail crawls and the time that it crawls. a. Use the points on the graph to make a table. b. Write the equation for the relationship and tell what each variable represents.
Answer: y=10x
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is y=1x+2
 Find the perimeter. Simplify the answer
Answer:
sorry i was dared to sooooooo yayyyyyyyyyyyyyy
Answer:
15x + 28Step-by-step explanation:
Perimeter = 5x + 10 + 5x + 10 + 5x + 8
= 15x + 28...ans
Hope it Helps you!!Do you know the answer for this?????
Answer:
3a
Step-by-step explanation:
9÷3=3
a³-a²=a¹ or just a
b-b= 0
= 3a
Hope this helped you- have a good day bro cya)
The members of a book club spend the same amount of money for refreshments at each meeting. At one meeting they bought 6 bagels and spent $9.00 on beverages. At the next meeting they bought 8 bagels and spent $8.20 on beverages. What was the cost of each bagel?
The members of a book club spend $0.4 for each Bagel as refreshment.
Let x represent the cost of each bagel.
At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:
Cost = 6x + 9
At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:
Cost = 8x + 8.20
Since the same money is spent on each meeting, hence:
6x + 9 = 8x + 8.2
2x = 0.8
x = $0.4
Therefore the cost of each bagel is $0.4
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What is the Value of (-0.5) (-7.0)?
the answer is (-0.5) (-7.0)= 3.5
A path is made of red tiles and blue tiles.
1/5of the tiles are red.
a) Write down the ratio of red tiles to blue tiles in its simplest form.
There is a total of 85 tiles.
b) Work out the number of blue tiles.
(2)
Total marks: 3
Answer: 17 red , 68 blue
Step-by-step explanation:
85 divided by 5=17
1/5 of 85=17
17x4=68
4/5 of 85=68
(1). The ratio of red tiles to blue tiles is [tex]\frac{1}{4}[/tex]
(2). The number of blue tiles are 68.
Fraction:It is given that,
A path is made by red and blue tiles and [tex]\frac{1}{5}[/tex] part of tiles are red.
So that,
Blue tiles[tex]=1-\frac{1}{5} =\frac{4}{5}[/tex] parts.
The ratio of red tiles to blue tiles in its simplest form,
[tex]\frac{Red}{Blue}=\frac{1}{5}*\frac{5}{4} \\\\\frac{Red}{Blue}=\frac{1}{4}[/tex]
Since, total number of tiles are 85.
Number of blue tiles[tex]=\frac{4}{5} *85=68[/tex]
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HI GUYS COULD YOU PLEASE HELP ME WITH THIS TYSM
Answer:
-13
Step-by-step explanation:
2(-2)-3(3)=
-4-9=
-13
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
7th grade math help...
Answer:
a= 11/30
Step-by-step explanation:
Divide the 5 1/2 miles by the 15 minutes
5.5/15= .36
.36 = 11/30
A scuba diver descends farther down into the ocean from an initial depth of 13.6 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r ≥ 24.72
r ≤ 24.72
r ≤ 13.84
r ≥13.84
The scuba driver descends at a maximum rate of r ≤ -13.84
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.
The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:
2.5r - 13.6 ≤ -48.2
2.5r ≤ - 34.6
r ≤ -13.84
Hence the scuba driver descends at a maximum rate of r ≤ -13.84
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