Answer:
1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches
Step-by-step explanation:
In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.
Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.
1) If the length is 12 inches, the width is 7.5 inches
[tex]\frac{5}{8} = \frac{x}{12}[/tex]
[tex]60=8x[/tex]
[tex]\frac{60}{8} =x[/tex]
[tex]7.5 = x[/tex]
2) If the length is 20 inches, the width is 12.5 inches
[tex]\frac{5}{8} = \frac{x}{20}[/tex]
[tex]100=8x[/tex]
[tex]\frac{100}{8} =x[/tex]
[tex]12.5 = x[/tex]
3) If the length is 10 inches, the width is 6.25 inches
[tex]\frac{5}{8} = \frac{x}{10}[/tex]
[tex]50=8x[/tex]
[tex]\frac{50}{8} =x[/tex]
[tex]6.25 = x[/tex]
15 liters increased by 60% is ___ liters
[tex]15 \times (1 + .6) = 24 \: \: \: liters[/tex]
it's 24 littershope it helpsAn equation is shown below:
4(x − 3) − 5(x + 1) = 3
Which statement shows a correct next step in solving the equation? (1 point)
Group of answer choices
The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication.
The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property.
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Step-by-step explanation:
4(x − 3) − 5(x + 1) = 3
The first thing would be distribute the 4 and the 5 respectively
4x-12 -5x-5 =3
what is the product of... see attachment below
The answer is -7 (option A)
Steps are in the attachment.
_________
Hope it helps ✌
if f(x) =3x-2 find f-1(x)
Answer:
1
Step-by-step explanation:
f(-1)= -3(-1) -2
f-1)=1
Hailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?
Answer:
24
Step-by-step explanation:
H=
And the equation
Answer:
equation: 10.00+2.50h=7.00+4.00h
10+2.5h-4h=7
10-1.5h=7
-1.5h=7-10
1.5h/1.5=-3/1.5
h=2
write the following ratios as fractions. 48 shoes 72 boots 64 hours and 2 days 147 rulers to 490 bags
Free pointzzzzzzzzzzzzzzzzzzzzzzzzzzz
x + 12 = 20 i really need help
Hello! :)
x+12=20
Move all numbers to the right, using the opposite operation:
x=20-12
x=8
Therefore, x=8
Hope it helps. Enjoy your day! :)
Do ask me if you have any question.
~An excited gal
[tex]MagicalNature[/tex] here to help
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill? 36 48 52 56
Answer:52
Step-by-step explanation:.
By using the concept of the point-slope form of an equation,
The initial number of party favor bags Razi had to fill would be 52.
In this situation, the independent variable (x) is the amount of time in minutes.
The dependent variable (y) is the number of bags remaining.
Since he is working at a constant rate, this makes it a linear function.
In a linear function, the amount he had to fill, to begin with, is the y-intercept.
Since The point-slope form of the equation is,
y - y₁ = m(x - x₁)
First, we find the slope using the formula
m = (y₂-y₁)/(x₂-x₁)
m = (32-36)/(5-4)
m = -4/1
m = -4
Using this and the first point, we have
y - 36 = - 4(x - 4)
Using the distributive property, we have
y - 36 = -4(x)- 4(-4)
y - 36 = -4x--16
y - 36 = -4x + 16
Add 36 to each side:
y - 36 + 36 = -4x + 16 + 36
y = -4x + 52
So, for the initial number of party favor bags Razi had to fill;
Substitute x = 0;
y = - 4 (0)+ 52
y = 52
Hence,
The required initial number is 52.
To learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ7
The missing table in the question is attached below.
Two numbers have a sum of 24 and a difference of 5. Use and algebraic method to find the two numbers.
Step-by-step explanation:
x, y are the 2 numbers
x + y = 24
x - y = 5
x = y + 5
and that in the first equation
y + 5 + y = 24
2y = 19
y = 9.5
x = y + 5 = 9.5 + 5 = 14.5
the 2 numbers are 9.5 and 14.5.
What is differentiation ?
Answer:
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
I need some help please
The length is 5 units.
The points A(-3p-3, 2p), B(-5p+1, 0) and C(0, 8p), where p is a constant are collinear. Find: the value of p
Answer:
p = 5Step-by-step explanation:
Since all points are on same line, AB and BC have same slope.
Use slope formula and compare:
m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)m(AB) = m(BC)Compare and solve for p:
p/(p - 2) = 8p/(5p - 1)8(p - 2) = 5p - 18p - 16 = 5p - 18p - 5p = 16 - 13p = 15p = 5A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.
Time can't be negative so we need to get absolute value of x .
can you solve the sums
[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]
[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]
[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]
[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]
Answers:a = 3b = -7c = 2.5d = -2Hope it helps.
Do comment if you have any query.
Split 70 into the ratio 3:4? I don't understand ratio :(
Answer:
30:40
Step-by-step explanation:
Item A: item B : total
3 4 3+4
3 4 7
The total is 70
70/7 = 10
Multiply each item by 10
Item A: item B : total
3*10 4 *10 7*10
30 40 70
Answer:
30 and 40
Step-by-step explanation:
3 : 4 means 3 out of every 7 objects and 4 out of every 7.
[tex]\frac{3}{7} (70) = 30[/tex]
[tex]\frac{4}7} (70) = 40[/tex]
2+2+30+40+15000+18000
Answer:
33074
Step-by-step explanation:
Please give brainliest
Answer:
[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]
[tex]i \: hope \: it \: is \: helpfull[/tex]
help for this question, please and thanks
Answer:
a = 3
b = -1
c = -5
d = -7
Step-by-step explanation:
to find each letter, put the corresponding 'x' value into the y-equation and solve:
for 'a': y = -2(-3) + (-3) = 6 + (-3) = 3
for 'b': y = -2(-1) + (-3) = 2 + (-3) = -1
for 'c': y = -2(1) + (-3) = -2 + (-3) = -5
for 'd': y = -2(2) + (-3) = -4 + (-3) = -7
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
Find the perimeter.simplify your answer.
Answer:
proly
Step-by-step explanation:
2 * (2z-9) + 2 * (10z)
4z-18 + 20z
24z - 18
Answer:
22z
Step-by-step explanation:
10+10+2z-9+2z-9= 22z
Find the angles a, b, c and d.
I need a helping hand please
Joseph compared the graphs of two functions.
The first function was f(x)=−2x+6.
The second function fits the values in the table:
x 2 5 8 11
y 2 -4 -10 -16
What is the distance between the y-intercepts of the two functions? To earn full credit, show your work using a method explained in the Orientation.
Answer:
There is no separation (distance) between the first y-intercept (6) and the second (6).
Step-by-step explanation:
We'll assume that the table shows points on a straight line.
If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12). Thus, the slope of the line represented by the table is
m = rise / run = -12/6, or m = -2.
We need to find the equation of the line represented by the table, so that we can know the y-intercept. Start with y = mx + b and substitute -2 for m:
y = -2x + b. We arbitrarily choose an ordered pair from the table, such as (11, -16). Here we substitute 11 for x and -16 for y:
-16 = -2(11) + b, or
-16 = -22 + b, which yields b = 6.
This is the same y-intercept as the '6' in the given f(x) = -2x + 6. So: There is no separation (distance) between the first y-intercept (6) and the second (6).
how do i do this pls explain the steps
Answer:
[tex]a^{\frac{15}{2} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
([tex]a^{\frac{1}{2} }[/tex] × a)^5
= [tex](a^{\frac{1}{2}+1) }[/tex]^5
= [tex](a^{\frac{3}{2}) } ^{5}[/tex]
= [tex]a^{\frac{15}{2} }[/tex]
easy one for you folks.
Answer:
if its easy do it
Step-by-step explanation:
Answer:
7.5/15 or something because yes
convert
b) 25 m³ to ft³
c) 11 ft² to in²
Answer:
conversions are below
Step-by-step explanation:
b) 25 m³ = 882.867 ft³
c) 11 ft² = 1584 in²
Simplify the expression. Write your answer in exponent form. (6^2*6^9/6^7)^5
Answer:
6^4
Step-by-step explanation:
6^2*6^9/6^7
6^(2+9)/6^7
6^(11-7)
6^4 or 1296
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
From E to B is 180°.
So when looking at angle ACB we get 65°
The angle ACE is equal to 180° - °65 = 115°
To show this is correct we have to add ACE and ACB and that should equal 180° which is true.
Answer:
115°
Step-by-step explanation:
normally straight lines are 180°
so angle ACF is already 90°
to find E, we need to subtract the 90°and the 65°
here it is: 180-(90+ 65)
= 25°
so finally ACE = 90° + 25°
= 115°
;)
Find the perimeter.Simplify your answer.
Answer:
8y - 80
Step-by-step explanation:
Perimeter, put simply, is all of the sides added up together. It will look like this:
(2y - 10) + (2y - 10) + (2y - 10) + (2y - 10)
Now, let's simplify! We can tell that all of the sides are equal to 2y-10, so we can do this:
4(2y -10)
Now we will distribute:
8y - 80
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Its jsut combining like terms
Perimeter is basically the out sides all added up in this case everything is equal
so its
2y-10+2y-10+2y-10+2y-10
8y-40
8y-40 is your final answer
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.