Answer:
c = 69 and h = 51
Step-by-step explanation:
You will need two different equations here
use variable c as coffee and variable h as hot chocolate
c + h = 120
1.80c + 3.15h = 284.40
By moving variables, you can alter the first equation
h = 120 - c
Now insert this into the second equation
1.80c + 3.15(120 - c) = 284.40
Multiply
1.80c + 378 - 3.15c = 284.40
Subtract the c
-1.35c + 378 = 284.40
Subtract 378 from both sides
-1.35c = -93.6
Divide both sides by -1.35
c = 69
Then plug into the first equation
69 + h = 120
Subtract 69
h = 51
If your expression contains square roots, during which step of PEMDAS do you solve them?
Answer:
E
Step-by-step explanation:
"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."
solve for x 2|x|+5=11
Answer:
Solve for x over the real numbers:
abs(x) = 3
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 3 or x = -3
Step-by-step explanation:
can anyone help me with the answers?
Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6
Can you please help with both? :)
Answer: 1. 12 2. 120
Step-by-step explanation:
1. so basically 9/6=18/x
since they are similir the'd have the same ratio
sooo you just solve for x (multiply 6 by 18, and then divide by 9) and you get 12
2. same thing except you put 6/10=12/x, and solve it (multiply 10 by 12 and divide by 6) and u get 20
dats how i would do it but there are other ways too im sure :)
hope this helps
Which is not a representation of the equation y = 0.5x - 2?
Select one: just look at the picture.
Answer:
D is incorrect so ur answer is D
19. If 1:3=4:x, then what is the value of x
9
12
4/3
15
Answer:
Step-by-step explanation:
1 : 3 : : 4: x
Multiply 1 and x and multiply 3 and 4
x = 12
A $50 shirt is on sale for
$42. What percent does the
customer save?
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
answer the following table:)
Find the balance in Grace's account after 2 years for a principal of $2500 if the bank pays simple interest at a rate of 5.25%. A.)29762.50 B.)2862.50 C.)2762.50 D.)2772.50
Answer: C.)2,762.50
Step-by-step explanation:
The bank is paying a simple interest of 5.25%.
After 2 years, Grace's account will have:
Simple interest:
= Principal * ( 1 + rate * years)
= 2,500 * ( 1 + 5.25% * 2)
= $2,762.50
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
2 1/3 cm
Step-by-step explanation:
Area = length x width
w = width
7/3 = 6/5w
cross-multiply: 30w = 70
w = 7/3 or 2 1/3
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
The y-intercept of the line whose equation is x - y = 7 is
7
1
-7
Answer:
-7
Step-by-step explanation:
x-y=7
-y=-x+7
y=x-7
hope it helps
Whats the value? of this equation
Answer:
Option (4)
Step-by-step explanation:
Given equation of the linear graph is,
[tex]y=-\frac{5}{8}x+\frac{2}{3}n[/tex]
By comparing this equation with the slope-intercept form of the linear equation,
y = mx + b
m = [tex]-\frac{5}{8}[/tex]
And b = [tex]\frac{2}{3}n[/tex]
Since, y-intercept 'b' = -12 [given]
[tex]\frac{2}{3}n=-12[/tex]
n = [tex]-12\times \frac{2}{3}[/tex]
n = -8
Therefore, Option (4) will be the answer.
there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n
Answer:
The value of n is 2.
Step-by-step explanation:
The total number of people in the choir = 60
Number of women in the choir = 30
Let the number of men in the choir be represented by x, so that;
Number of women = 3x
So that;
3x = 30
x = [tex]\frac{30}{3}[/tex]
= 10
The number of men in the choir is 10.
the number of children in the choir: the number of men in the choir = n:1
number of children in the choir = 60 - (number of women + number of men)
= 60 - 40
= 20
number of children in the choir = 20
Thus,
the number of children in the choir: the number of men in the choir = 20:10
= 2:1
The value of n is 2.
Answer:
20 men in the choir and 40 children
Step-by-step explanation:
Which number has a 5 in the ten thousandths place?
0.20815
0.30256
0.40571
0.50098
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
second option
0.30256
it's got 5 in ten thousandths place.
have a great day :)
Ben rides the train to work he spends $2.75 per ride his monthly budget for riding the train is 80$ write an equation that shows the number of times N Ben can ride the train each month
Answer: 2.75N = 80
Step-by-step explanation:
Let the the number of times that Ben can ride the train each month be represented by N.
Since Ben rides the train to work he spends $2.75 per ride and his monthly budget for riding the train is $80, this will be represented in an equation as:
2.75N = 80
N = 80/2.75
N = 29 times
A t-shirt costs $12. You have a 25% off coupon. How much will the t-shirt cost?
Answer:
The shirt would be $9 dollars because $3 dollars is 25% of 12.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
25%=/4
12/4=3
3*3to get 75%=9
Hello. I was stuck on this. Can you please help? Will give brainliest answer to the best one. Theres no need to go into a big explanation, just saying. Will give 5 stars and thanks.
Answer:
graph C
Step-by-step explanation:
Well I lik it spread out cause you get more information and you can tell how the data is aligned and not scrunched up. Since the example said that the explanatory variable (indepdent variable) is best on the X axis, only C and A are left. A is all scrunch’s up and data could be read worng, but C is nice and spread and it shows all the data and rating clearly
(10 points) help!!! Pls
Answer:
There's 3 answers: the third, fourth, and the sixth one. 1 2 3
4 5 6
Step-by-step explanation:
The expression in the question gets simplified to p-6, and so does the third one, fourth one is just itself, and the sixth one also simplifies to p-6.
Help please.
Algebra.
Answer:
D.
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: −4
y-intercept: (0,4)
Answer:
D.) d
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: -4
y-intercept: (0,4)
x: 0 & 1
y: 4 & 0
Hence the answer is coordinate grid D.
WILL MARK BRAINLIEST!!! Solve the inequality - 3/4x + 6 > -3. x -2 x 12
Answer:
All real numbers
Step-by-step explanation:
Answer:
-3÷4x+6>-3×-2×12
-3÷4x+6>6×12
-3÷4x+6>72
-3÷4x+6-6>72-6
-3÷4x>66
-3÷4x×4x<66×4x
-3<264x
-3÷264<264x÷4
-0.01 (rounded)<x
Plzzzzz give me Brainliest!!!!!
Convert the following repeating decimal to a fraction in simplest form.
.27
Evaluate the expression when g=7 and h= 5 8h + g
Answer: 47
Step-by-step explanation:
we simply substitute g for 7 and h for 5.
8(5) + 7
40 + 7
47
Are these correct?? I need help quick!!!
Answer:
No, it is A for the first question and C for the last one
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
1/9= .111111111111 repeating
A person invests $6,650 in an account that earns 5.23% annual interest compounded continuously. Find
when the value of the investment reaches $15,000. If necessary round to the nearest tenth.
The investment will be reach $15,000 in approximately ______ years.
Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?
Answer:
[tex]\$100 = 8200\ Yen[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
Step-by-step explanation:
Given
[tex]\$ 1 = 82\ Yen[/tex]
Solving (a): Equivalent of $100
Represent this with x.
So, we have:
[tex]\$100 = x[/tex] and
[tex]\$ 1 = 82\ Yen[/tex]
Cross Multiply:
[tex]x * \$1 = 82\ Yen * \$100[/tex]
[tex]x * 1 = 82\ Yen * 100[/tex]
[tex]x = 8,200\ Yen[/tex]
Hence:
[tex]\$100 = 8200\ Yen[/tex]
Solving (b): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 10
[tex]10 *\$100 = 8200\ Yen * 10[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
Solving (c): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 100
[tex]100 *\$100 = 8200\ Yen * 100[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
5 On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin
vines in your garden. You estimate the area covered by the fungus and find that the patches
cover about 1 cm2 Suppose that the leaf area covered by this kind of fungus quadruples (4x)
every day.
Answer:
Step-by-step explanation:
it xhkr pls