Answer:
Step-by-step explanation:
Set this up as a ratio of number of cakes to cups of sugar, C:S
Then the ratio given is 1:2.5 which says 1 cake takes 2.5 cups of sugar. We want to know how many cakes, x, will be made with 37.75 ups of flour:
[tex]\frac{1}{2.5}=\frac{x}{37.75}[/tex] and cross multiply to solve:
2.5x = 37.75 so
x = 15.1 cakes or just 15 cakes (cuz you can't make one-tenth of a cake!)
What is the slope of the line?
-8x - (3x + 6 ) = 4 - x
Answer:
-1
Step-by-step explanation:
Remember PEMDAS! Start with distributing the parentheses -(3x+6) so you get -8x-3x-6=4-x and simplify. Then you get -11x-6=4-x and combine like terms which equals -10=10x. Simplify and you get -1.
The solution to the equation -8x - (3x + 6) = 4 - x is x = -1.
What is the solution to the equation?Given the equation in the question:
-8x - (3x + 6 ) = 4 - x
To solve the equation -8x - (3x + 6) = 4 - x, simplify the equation by isolating all terms with variable x:
-8x - (3x + 6 ) = 4 - x
Distribute the negative sign inside the parentheses:
-8x - 3x - 6 = 4 - x
Combine like terms on both sides of the equation:
-11x - 6 = 4 - x
Add 6 to both sides:
-11x - 6 + 6 = 4 + 6 - x
-11x = 4 + 6 - x
-11x = 10 - x
Next, add x to both sides:
-11x + x = 10 - x + x
-10x = 10
Divide both sides of the equation by -10:
x = -10/10
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
#SPJ6
Which of the following rules describes the function graphed below?
Answer:
D
Step-by-step explanation:
Output = 3*input - 2. Observe the graph again
Imagine you have a job where you earn $700 each week after taxes. Your monthly living expenses include $725 for rent, $125 for utilities, $120 for cable/internet, $35 for cellphone, and $48 for bus fare. You also have $1,100 in credit card debt that requires a minimum monthly payment of $78. You have also been keeping track of your expenses for several months by writing down everything you purchase. You found that you spend around $600 on groceries and $225 on dining out and entertainment. What is your monthly income?
The monthly income is $844.
Given:
Weekly earning after taxes is $700Monthly rent is $725Monthly expense for utilities is $125Monthly expense for cable/internet is $120Monthly expense for cellphone is $35Monthly expense for bus fare is $48Minimum monthly payment of credit card debt is $78Monthly expense for groceries is $600Monthly expense for dining out and entertainment is $225To find: The monthly income
The monthly income refers to the amount of money left over each month after paying all expenses.
Evaluating, we have,
The total monthly expense = $([tex]725 + 125 + 120 + 35 + 48 + 78 + 600 + 225[/tex])
That is, the total monthly expense is $1956.
It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $([tex]700 \times 4[/tex]), that is, $2800.
Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $([tex]2800-1956[/tex]), that is, $844.
The monthly income is $844.
Learn more about income and expenses here:
https://brainly.com/question/18456246
How much of a circle does a 100-degree angle turn through?
A.1
B.100/180
C.50/360
D.100/360
Answer:
100/360
Step-by-step explanation:
A circle is 360 degrees
100/360
10/36
5/18
I need help ASAP!!Please explain how to do the problem
Answer:
[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]
Step-by-step explanation:
Refer to picture
Need help on Q.8
Answer:
Rajan = 436.36 rupees and Kamal = 363.63 rupees
Step-by-step explanation:
Total ratio = 11/30
Amount to be shared = 800
Rajan = Individual ratio / Total ratio x the total amount to be shared
1/5 ÷11/30 × 800 = 436.36
Kamal = 1/6 ÷ 11/30 × 800 = 363.63
solve the inequality
[tex] \frac{1}{3} x \: + 1 \geqslant \frac{1}{2} x + \frac{1}{4} (2 - x)[/tex]
Answer:
x >= -6
Step-by-step explanation:
Multiply:
(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x
Combine like terms:
(1/3)x + 1 >= (1/4)x + 1/2
Move the x's on one side and the integers on another:
(1/3)x - (1/4)x >= 1/2 - 1
(1/12)x >= -1/2
x >= -6
I hope this helped! :D
Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!
please help me to solve this
Answer:
Step-by-step explanation:
a) 3x^2
b) (512)^-2/3=2^n
1/64=2^n
n=-6
Please teach me these question step by step. Thank you
Answer:
a. 499
Step-by-step explanation:
a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.
the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.
Please help if possible its important!!
Answer:
600 ft³
Step-by-step explanation:
Base area: B
Base is triangle
base = 12 ft and height = 5 ft
Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]
[tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]
H = 20 ft
Volume = B * H
= 30 * 20
= 600 ft³
Tanisha has 7 less than 4 times as many
toy cars as Fernando. If Tanisha has 9
cars, how many toy cars does Fernando
have?
a. 2 toy cars
b. 4 toy cars
c. 8 toy cars
d. 29 toy cars
help!
Answer: D is my guess.
Step-by-step explanation:
If you multiply those two number and subtract it by tanisha that probably is your answer if I'm incorrect I'm sorry hopefully this helped
If you divide $65 in the ratio 6:7, what is the smaller part?
A. $13
O B. $26
C. $30
OD. $35
Answer:
$30
Step-by-step explanation:
Let the ratios be 6x and 7x
Then 65 = 6x + 7x
65 = 13x
x = 65/13
x=5
6x = 6 x 5 = $30
7x = 7 x 5 = $35
Answer From Gauth Math
help ASAP!!!
bensnsnana
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
evaluate each expression below
Answer:
see below
Step-by-step explanation:
0/7 = 0
We can divide 0 by a non zero number
5/0 = undefined
We cannot divide by 0
Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).
Answer:
-3
Step-by-step explanation:
for this function you have to replace -1 were there's x in the function h(x)=2x-1
h(-1)=2(-1)-1
=-2-1
=-3
hope this helps
What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w
Answer:
8
Step-by-step explanation:
more details
2(10)-3(4)
20-12
8
(b) In a sale the original prices are reduced by 15%.
(i)
Calculate the sale price of a book that has an original price of $12
Answer: $10.20
Step-by-step explanation:
convert the percentage to a decimal: 0.15
multiply the decimal 0.15 by the original price, $12, to find the amount that it will be discounted by: $1.80
subtract the discount from the original price: $10.20
Answer:
$9
Step-by-step explanation:
reduced price=15%*$12
= 15/100*$12
= $3
Sale price=original price - reduced Price
=$12-$3
=$9
What is the factored form of the expression 3x^2 + 6x – 24
Answer:
(3)(x + 4)(x-2)
Step-by-step explanation:
3x^2 + 6x – 24
3(x^2 + 2x - 8)
(3)(x + 4)(x-2)
Answer:
3(x - 2)(x + 4).
Step-by-step explanation:
3x^2 + 6x – 24
= 3(x^2 + 2x - 8)
= 3(x - 2)(x + 4).
Does anyone know how to find these measures. Pls it’s due in a few hrs
Answer:
17) 120°
18) 85°
Step-by-step explanation:
→ Find the sum of angles in each shape
Quadrilateral = 360°
Triangle = 180°
→ Add the angles together and subtract it from the sum
360 - ( 80 + 80 + 80 ) = 120° for number 17
180 - ( 35 + 60 ) = 85° for number 18
If l || m, classify the marked angle pair and give their relationship, then solve for x.
Answer:
14. x=16, 15. x=9
Step-by-step explanation:
14.
4x+4=7x-44 by alternate exterior angles
3x=48
x=16
15.
15x-26=12x+1 by alternate exterior angles
3x=27
x=9
factorise [tex]x^{2} + 11x[/tex]
Answer:
x(x+11)
Step-by-step explanation:
x^2+11x
Factor out x
x*x+11x
x(x+11)
10 = z + 6 (show work)
Answer:
4
Step-by-step explanation:
10=z+6
or, z+6=10
or, z=10-6
or,z=4
May this help you
Max A = 15 - x^2 - x
Answer:
not exactly sure what the question is but
if it is "what is the max that 15 - x^2 - x can be
then 2x-1 = 0 solves that
x = 1/2
Step-by-step explanation:
ncert maths class 10 solution 5.1 4
Can you attach a picture to your question?
I would love to help you out.
Answer:
Step-by-step explanation:
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1
where is question ??
6g+5 =-2(1+2g)
------------------
Answer:
g: -7/10 or -0.7
Step-by-step explanation:
[tex]6g+5=-2\left(1+2g\right)[/tex]
Apply the distributive law:-
[tex]-2\left(1+2g\right)[/tex]
[tex]=-2-4g[/tex]
[tex]6g+5=-2-4g[/tex]
Now, we´ll Subtract 5 from both sides :-
[tex]6g+5-5=-2-4g-5[/tex]
[tex]6g=-4g-7[/tex]
Add 4g to both sides :-
[tex]6g+4g=-4g-7+4g[/tex]
[tex]10g=-7[/tex]
Now, divide both sides by 10:-
[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]
[tex]g=-\frac{7}{10}[/tex]
OAmalOHopeO
A checking account is
overdrawn by $5, then a
$5 fee is charged. What
is the balance on the
account?
Ty for any help!!!
minus/negative ten dollars.
.eygywhwusjsi
plss helppp!!
pls show how is it done
solve the equation :
x³ = 3x² + 3x - 1
Answer:
x³ = 3x² + 3x - 1x³- 3x² - 3x + 1 = 0(x³ + 1) - 3x(x + 1) = 0(x + 1)(x² - x + 1 - 3x) = 0(x + 1)(x² - 4x + 1) = 0(x + 1)(x² -4x + 4 - 3) = 0(x + 1)((x - 2)² - (√3)²) = 0(x + 1)(x - 2 + √3)(x - 2 - √3) = 0x = -1x = 2 - √3x = 2 + √3What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.
Answer:
C. –2
Step-by-step explanation:
The slope is equal to the number multiplying the x
Answer:
C
Step-by-step explanation:
Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2
