Answer:
j = 24
t = 2
h = 4
Step-by-step explanation:
Three hats, two T-shirts, and one jacket cost $40.
3h + 2t + j = 40
Two hats, two T-shirts, and two jackets cost $60.
2h + 2t + 2j = 60
One hat and three T-shirts cost $10.
h + 3t = 10
3h + 2t + j = 40 (1)
2h + 2t + 2j = 60 (2)
h + 3t = 10. (3)
From (3)
h = 10 - 3t
Substitute into (1) and (2)
3(10 - 3t) + 2t + j = 40 (1)
2(10 - 3t) + 2t + 2j = 60 (2)
30 - 9t + 2t + j = 40
20 - 6t + 2t + 2j = 60
- 7t + j = 40 - 30
-4t + 2j = 60 - 20
-7t + j = 10 (1a)
-4t + 2j = 40 (1b)
Multiply (1a) by 2
-14t + 2j = 20
-4t + 2j = 40
Subtract to eliminate j
-4t - (-14t) = 40 - 20
-4t + 14t = 20
10t = 20
t = 20/10
t = 2
Substitute t = 2 into
h = 10 - 3t
h = 10 - 3(2)
= 10 - 6
= 4
h = 4
Substitute t = 2 and h = 4 into
3h + 2t + j = 40
3(4) + 2(2) + j = 40
12 + 4 + j = 40
16 + j = 40
j = 40 - 16
= 24
j = 24
Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equality before combining like terms using other properties? In your explanation, tell the value by which you would multiply both sides.
Answer:
Step-by-step explanation:
Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2
First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.
Multiply through by 16
48x+5= 12-2x-8
Next is to collect the like terms
48x+2x = -8+12-5
50x = -1
Divide both sides by 50
50x/50 = -1/50
x = -1/50
The value used to multiply both sides is 16 and the value of x is -1/50
WILL MARK BRAINIEST!!! HAS TO BE CORECT!!!
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?
StartFraction 3 over 1 EndFraction = StartFraction 2 over 6 EndFraction
StartFraction 3 over 6 EndFraction = StartFraction 2 over 1 EndFraction
One-third = StartFraction 6 over 2 EndFraction
One-third = StartFraction 2 over 6 EndFraction
Answer:
here the answer! There is the proof it's right. :)
Step-by-step explanation:
Answer:
1/3 = 2/6
Step-by-step explanation
Edu correct
Solve for h in the mathematical formula V=pi r^(2)h
Answer:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
Step-by-step explanation:
Lets try and get everything we can away from h.
V = [tex]\pi[/tex][tex]r^{2} h[/tex]
Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.
Now we end up with:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
When making bread from scratch, the recipe calls for
3/4
cup of water. If you need to make a smaller
portion of the recipe, how much water would you need in order to make only 1/6 of the recipe?
Give your answer as a fraction, reduced to lowest terms
Answer:
1/8 of a cup.
Step-by-step explanation:
That would be 1/6 of 3/4
= 1/6 * 3/4
= 1*3 / (6*4)
= 3/24
= 1/8.
A truck can be rented from Company A for $150 a day plus $0.40 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
140 miles
Step-by-step explanation:
Let
Number of miles = m
Total cost = fixed cost + variable cost
Company A = $150 + $0.40m
Company B = $80 + $0.90m
Equate company A and company B equation
Company A = Company B
$150 + $0.40m = $80 + $0.90m
Collect like terms
150 - 80 = 0.90m - 0.40m
70 = 0.50m
m = 70 / 0.50
= 140
m = 140 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
The cost C , in £, of a monthly phone contract is made up of the fixed line rental L , in £, and the price P , in £ ,of the calls made. Enter a formula for the cost and, enter the cost if the line rental is £10 and the price of calls made is £28.
Answer:
C = L + P
C = £38
Step-by-step explanation:
Given that :
Cost (C) is given by :
Sum of fixed line rental (L) ; price (P) of calls made.
Hence,
Cost formula;
C = L + P
Cost if the line rental is £10 and the price of calls made is £28.
C = L + P
If L = £10 ; P = £28
C = £10 + £28
C = £38
Whats the domain and range
Answer:
d= all the x values
r=all the y values
Step-by-step explanation:
HELP!!!
Your health insurance premium is $225 monthly. Your deductible is $2000, how much will your health insurance premium and deductible cost you annually?
A. $2700
B. $4700
C.$5500
D.$2000
Help help!!!!!!!!!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
4 x 1 / 2
Reduce the numbers with the greatest common factor 2
5 x 2 = 10
Please look at the image.
Answer:
It is the first option
Step-by-step explanation:
hope this helps you
If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.
Answer:
AB=2AM
3x-4=2(x+3)
3x-4=2x+6
3x-2x=4+6
x=10
So length AB 3x-4=3(10)-4
30-4=26
The length of AB is 26 units.
What is a line segment ?A line segment is denoted by two endpoints.
According to the given question M is the midpoint of segment AB.
Given, AM = x + 3 and AB = 3x - 4.
As AM is the midpoint if we take twice of AM that will be equal to AB.
∴ 2(AM) = AB
2(x+3) = 3x - 4.
2x + 6 = 3x - 4.
2x - 3x = -4 - 6.
-x = - 10.
x = 10.
So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.
= 30 - 4
= 26 units.
learn more about line segment here ;
https://brainly.com/question/25727583
#SPJ2
A number k is greater than 3. Which of the following is true about 3 k ?
Sydney and her friend are having a party. Sydney bakes two pies and stephanie brings two or more. Then, they cut each pie into 6 pieces. How many pieces of pie will they have for the party?
Answer:
24 pieces
Step-by-step explanation:
Sydney bakes two pies, stephanie brings two more.
Together we have a total of four pies
each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.
6 x 4 = 24
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 606060 megabytes on it before the transfer, and an additional 444 megabytes were transferred onto it each second.
Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).
HELP WILL GIVE CROWN!!!!!
Answer:
d
Step-by-step explanation:
i know this question cause i got a A +on the test dont worry
Answer:
C. 9.6×10^7 kmStep-by-step explanation:
Given the distance
9.6×10^10 mConverted into km, considering 1 m = 10^-3 km:
9.6×10^10 × 10^-3 km = 9.6×10^(10 -3) km = 9.6×10^7 kmCorrect option is C
Find the result when 85 is increased by 20%.
Answer:
102
Step-by-step explanation:
20% of 85 is 17.
85+17 = 102
hope this helps! :)
Answer:
102
Step-by-step explanation:
To find the new amount, multiply 85 by 1.2
85(1.2)
= 102
So, when 85 is increased by 20%, the result is 102.
YOUR TURN
3. Fifteen bicycles are produced each hour at the
Speedy Bike Works. Show that the relationship
between the number of bikes produced and the
number of hours is a proportional relationship.
Then write an equation for the relationship.
Answer:
The equation is: y = 15·x
Step-by-step explanation:
It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.
Consider the table below.
Number of Hours: 1 3 6 10
Number of Bicycles Produced: 15 45 90 150
Compute the ratio of number of bicycles produced and number of hours for every data above as follows:
[tex]\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1[/tex]
The ratio of the number of bicycles produced and number of hours is same for every data value.
Thus, the relationship between the number of bicycles produced and number of hours is proportional.
The equation for the relationship is:
y = 15·x
y = number of bicycles produced
x = number of hours
What is the elevation of Tammys house
Answer: 38
Step-by-step explanation: quite simple if you do the math 24 + 14 you get 38 which we can conclude as the angle of his house
HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
it is C
Step-by-step explanation:
it is c because all of the other answers are stated in the article, and a opinion is something you think
These are two separate questions by the way :)
1. 2v +8 < 3y + 1
2. - 7m - 16 >= - 2(7 + 3n) - 2
Answer:
1. [tex]v<\frac{3y-7}{2}[/tex]
2. [tex]m\leq \frac{6n}{7}[/tex]
Step-by-step explanation:
1. [tex]2v+8-8<3y+1-8[/tex]
[tex]2v<3y-7[/tex]
[tex]\frac{2v}{2} <\frac{3y}{2} -\frac{7}{2}[/tex]
[tex]v<\frac{3y-7}{2}[/tex]
2. [tex]-7m-16+16\geq -2(7+3n)-2+16\\[/tex]
[tex]-7m\geq -6n\\[/tex]
[tex]7m\geq 6n\\[/tex]
[tex]\frac{7m}{7} \leq \frac{6n}{7}[/tex]
[tex]m\leq \frac{6n}{7}[/tex]
Help me asp 25 points and will mark
Answer:
Slope = - 2
Step-by-step explanation:
Given equation is,
y= - 2x
If x=1, y= -2.
If x=2, y= - 4
Take such few points and plot the graph (1, - 2), (2, - 4)........
Draw a straight line through the points.
For slope, compare the equation with slope intercept form, y=mx + c
Here, c=0 and m=-2
Hope this helps!!
Solve for missing angle
Answer:
so the exterior angle 152 is made from the interior angle being subtracted from 180. we can also subtract 152 from 180 to find the interior angle. 180-152=28 the inside of a triangle is a total of 180 degrees so 110+28=138 180-138=42 degrees. 42 degrees is the final interior angle and the missing and the missing exterior angle is congruent to the 42 degree angle. So the missing exterior angle is 42 degrees
Step-by-step explanation:
The picture attached has work and the answer! :)
Triangle ABC has a perimeter of 22cm.
AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle
Answer:
Step-by-step explanation:
perimeter=22
AB+BC+AC=22
8+5+AC=22
AC=22-13
AC=9
Apply the Pythagorean theorem:
AB²+AB²=AC²
8²+5²=64+25=89
AC²=9²=81
no it is not a right triangle because it failed the Pythagorean theorem
TV Cabinet TV screens are measured on the diagonal. If we have a TV-cabinet that is 72 inches long and 64 inches high, how large a TV could we put in the space (leave 2-inches on all sides for the edging of the TV)? Round your answer to the nearest tenth.
Answer:
94inStep-by-step explanation:
We are expected to solve for the diagonal of a rectangular shape.
given that the length, l=72in
width, w=64in
we can apply the Pythagoras theorem to solve for the diagonal since it corresponds to the hypotenuse of the rectangle
note: we are to leave 2-inches on all sides for the edging of the TV
l=72-2= 70 in
w=64-2=62
diag=√l^2+w^2
diag=√70^2+62^2
diag=√4900+3844
diag=√8744
diag=93.50 in
to the nearest tenth, it is 94in
Brainlest:
10 1/2 divided by 3/8 = 12/2 times 8/3= 9/6 is this ture?
Answer:
No, i dont think so
Step-by-step explanation:
10 1/2 divided by 3/8:
KCF (keep, change the sign, flip the fraction)
·21/2×8/3=168/6
168/6=28
12/2×8/3=16
therefore they are not equal so it is not true
Hope this helped ;)
Answer:
well lets solve this:
10 1/2-->21/10
21/10 dvided by 3/8-------> to divide fractions we do this: 10/21 x 3/8 (swap the denom and num of the firs fraction then multiply by the sec)
10/21x3/8=30/168 = 3/56
12/2 x 8/3 = 6x 8/3= 6/1x8/3=48/3
48/3 simplified is 16/1 =16
3/56x16/1 = 48/56
48/56=24/28=12/14=6/7
Step-by-step explanation:
Therfore this is false
-hope this helps
At their annual car wash, the science club washed 30 cars in 45 minutes. At this rate, how many cars will they wash in 1 hour? A- 40, B-45, C-50, D-60
Answer:
The answer is A 40 cars
Step-by-step explanation:
We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!
Question 5
Measure the lengths of the sides of ABC. Then measure the lengths of the sides of A'B'C' when A'B'C' coincides with the other three
triangles. Record the measurements in the table.
Answer:
Step-by-step explanation:
Answer:
Length Length Length Length
1.41 1.41 1.41 1.41
2.24 2.24 2.24 2.24
3 3 3 3
Step-by-step explanation:
.
1) Mr. Turnage spent $800 on a new computer. He used his debit card to
make this purchase. In his bank account he had $783. What will his bank
account balance show after making this purchase?
Answer:
-62, because he didn't have enough of his money since he was using debit.
(3,4) and (9,2) find slope
Answer:
m = -1/3
Step-by-step explanation:
m= rise over run
2-4 1
____ = - __
9-3 3
Answer:
-1/3 is the slope
Step-by-step explanation:
I attached an image below to show you how i did this. I hope this helps :)
Sorry, but I also need help on this