Answer:
69/11
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−3+2x−7+5x−1=58
4x+−3+2x+−7+5x+−1=58
(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)
11x+−11=58
11x−11=58
Step 2: Add 11 to both sides.
11x−11+11=58+11
11x=69
Step 3: Divide both sides by 11.
11x /11 = 69/11
Answer:
x = 69/11
Step-by-step explanation:
4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓
11x - 3 - 7 - 1 = 58
11x - 11 = 58 move the constant to the right-hand side and change its sign ↓
11x = 58 + 11 add the numbers ↓
11x = 69 then divide both sides of the equation by 11 ↓
x = 69/11 ;)
Find the area of the shaded region.
Answer:
60.5
Step-by-step explanation:
I need some help on this please Simplify 2c-5c+c
A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
8. Damia has 120 g of butter and wants to use it all in this recipe. What total weight of flour and sugar should he use in grams?
9. Damia realizes he only has 60 g of sugar, so can’t use all of his butter. How many grams of butter will he have
left over when he’s finished making the recipe?
Answer for question number 8 is 300 gms.
Can someone help to solve question number 9 in step by step please?
Answer:
600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes
120 cakes could be made with 1 kg of butter
Step-by-step explanation:
Here, 72 cakes = 6 dozen cakes
( since 12 cake = 1 dozen cake ).
a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).
• Butter - 150/1.5 = 100 g per dozen
For 6 dozen :
100g x 6 = 600 g
• Flour - 500/1.5 = 333.33 g per dozen
For 6 dozen :
333.33 g x 6 = 2000 g
• Sugar - 50/1.5 = 33.33 g per dozen
For 6 dozen :
33.33 x 6 = 200 g
• Currants - 100/1.5 = 66.67 g per dozen
For 6 dozen :
66.67 x 6 = 400 g
b. It is given that,
150g butter is required to make = 18 cakes
Then by using unitary method, we get,
1 g of butter is required to make = 18/150 cakes
Since, 1 Kg = 1000 g
Then,
1000 g of butter is required to make = (18/150) × 1000
= 120 cakes
Hence, with 1 kg of butter 120 whole cakes can be made.
Hope this answer helps you :)
Have a great day :)
Mark brainliest
How many full revolutions does a car tire with a diameter of 25 inches make when the car travels one mile? (Round your answer to the nearest whole number, remember there is 63360 inches in 1 mile,
Answer: So how many times can you get 94.2 inces from 1 mile?
How many inches are there in 1 mile?
1 mile = 5280 feet and...
1 foot = 12 inches., so...
1 mile = 5280ft.(12in./ft)
1 mile = 63,360 inches. Finally, you will divide 63,360 inches by 94.2 inches per revolution.
63360%2F94.2+=+672.6revolutions per mile :)
Step-by-step explanation: hope this helped
please Help! Urgent!!
Answer:
Step-by-step explanation:
= [tex] ( {p}^{ \frac{1}{2} } )^{3} \times \sqrt{p ^{6} } [/tex]
= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ \frac{1}{2} × 6} } [/tex]
= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ 3} } [/tex]
= [tex] ( {p})^{ \frac{3}{2} + 3} [/tex]
= [tex] ( {p})^{ \frac{3 + 3}{2}} [/tex]
= [tex] ( {p})^{ \frac{9}{2}} [/tex]
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family that has four children, what is the probability that it is not ideal
Answer:
0.3125 = 31.25% probability that it is not ideal.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
0.5 probability of a children being a girl:
This means that [tex]p = 0.5[/tex]
If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?
Not ideal is less than two girls, so this is P(X < 2).
Four children means that [tex]n = 4[/tex]. So
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]
[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125[/tex]
0.3125 = 31.25% probability that it is not ideal.
-x if x si
Find f(7) for f(x) = 3 x + 5 if 15x<2
x? if x 22
Answer:
[tex]f(7) = 49[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \left[\begin{array}{cc}3x+5&1.5 <x < 2\\x^2&x>2\end{array}[/tex]
Required
Determine f(7)
To do this, we make use of
[tex]f(x) = x^2[/tex]
Because [tex]7 > 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
This becomes:
[tex]f(7) = 7^2\\[/tex]
[tex]f(7) = 49[/tex]
Please help I need the answer by today
Use the graph shown to the right to find each of the following.
(a) The x-intercept(s) is/are 1
(Type an ordered pair. Use a comma to separate answers as needed.)
(a) the x-intercept(s), and (b) the zero(s) of the function,
-2
Answer:
the x intercepts of the parabola are -2.
What is the vertex of the given quadratic function?
g(x)=3(x – 4)² + 7
============================================================
Explanation:
Compare the given equation to the vertex form y = a(x-h)^2 + k
You'll see that a = 3, h = 4 and k = 7
The vertex is (h,k) = (4,7)
The value of 'a' determines if the parabola opens upward or downward. Since a > 0, it opens upward. This furthermore leads to the vertex being the lowest point on the parabola.
The value of 'a' also determines how vertically stretched or compressed the parabola is.
Answer:
1. The vertex of the graph of the function is (-4, 7)
2. The vertex represents a minimum value
3. The equation represented by the new graph is g(x) = (x + 4)² + 1
Step-by-step explanation:
The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;
g(x) = (x + 4)² + 7
1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;
a = 1, h = -4, and k = 7
The vertex of the graph of the function, (h, k) = (-4, 7)
2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value
3. Shifting the graph 6 units down from where it is now will give;
The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)
h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c
c = k + a·h²
Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23
After the shifting the graph 6 units down, c = 23 - 6 = 17
∴ k = 1 = -a·(-4)² + 17
∴ -16/16 = -1 = -a
a = 1
Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.
How many 3/4 cup servings are in 12 cups of cherries?
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
what’s the height of the second cylinder? (the larger one)
!!!PLEASE HELP QUICK
ILL GIVE BRAINLIEST!!!!
Given:
The radius of smaller cylinder is 2 m.
The radius of larger cylinder is 8 m.
The height of smaller cylinder is 14 m.
Both cylinders are similar.
To find:
The height of larger cylinder.
Solution:
It is given that the both cylinders are similar to each other.
We know that the corresponding sides of similar figure are proportional.
Let height of the larger cylinder is [tex]h_2[/tex].
[tex]\dfrac{r_1}{r_2}=\dfrac{h_1}{h_2}[/tex]
[tex]\dfrac{2}{8}=\dfrac{14}{h_2}[/tex]
[tex]\dfrac{1}{4}=\dfrac{14}{h_2}[/tex]
On cross multiplication, we get
[tex]1\times h_2=14\times 4[/tex]
[tex]h_2=56[/tex]
Therefore, the height of the larger cylinder is 56 m.
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answer:
si se tirs undado you need to
What is 904 divided by 16. Must show answer
Answer:
56.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
0 5 6
1 6 9 0 4
− 0
9 0
− 8 0
1 0 4
− 9 6
8
the answer is 56
x^2-16=0 solve for all real values of x
Hi there! Use the difference of two squares formula below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².
Then,
[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]
[tex] \large{(x + 4)(x - 4) = 0}[/tex]
Solve the equation for all real values of x.
[tex] \large{x = 4, - 4}[/tex]
If you don't like using a formula. You can do this:
[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]
If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.
For the square both sides method above (second method), we can define that:
[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]
Answer
x = 4,- 4 (You can answer x = ±4find solution y ( -7-y)=0
Answer:
y = 0, y= -7
Step-by-step explanation:
[tex]y(-7-y) = 0\\=> y =0\ ,\ -7 -y =0 => y = -7[/tex]
HELP ME PLEASE I BEG YOU!!!!!
Answer:
will you msg me . . . . .. . ..
Answer:
422 cm²
Step-by-step explanation:
Small rectangular prism: 3*4 + 8*3 + 8*3 + 8*4 + 8*4 = 124
Large rectangular prism: 5*7 + 5*7 + 10*5 + 10*5 + 10*7 + (10*7 - 4*3 ) = 298
Total: 124 + 298 = 422 cm²
*Calculate only areas of surfaces showing and add them up
The small rectangular prism has 5, and the large rectangular prism has 6 (with a 4*3 rectangle on its top surface covered)
how do u get the mean of something
Answer:
to find the mean you add up all the values to get the sum, count the number of values you have in your data set, then divide the sum by the count
Step-by-step explanation:
Sally has 2/3 pink marbles and 0.6 red marbles. Witch is greater. answer fast
Answer:
2/3
Step-by-step explanation: 2/3 is just 0.66666 repeating which is greater than 0.6
Answer:
2/3
Step-by-step explanation:
2/3 and 3/5
10/15 and 9/15
Hence, 2/3 is greater
Feel free to mark this as brainliest :D
Parvati bought 8 gallons of paint tol a project. The KIMU UI panlil bie WuUym 13 pccu wym
Which person bought the same kind of paint as Parvati?
O A
Brandon bought 5 gallons of paint for $90.
B
Trevor bought 6 gallons of paint for $114.
с
Natasha bought 7 gallons of paint for $143.
D
Danaia bought 9 gallons of paint for $152.
Answer:
(a) Brandon bought 5 gallons of paint for $90.
Step-by-step explanation:
Given
Parvati:
[tex]8\ gallon \to \$144[/tex]
Required
Person with the same paint
First, calculate the unit cost of Parvati's paint
[tex]Unit = \frac{\$144}{8\ gallon}[/tex]
[tex]Unit = \$18/gallon[/tex]
To get the person with the same kind of paint, we simply calculate the unit price.
Whoever has the same unit price as [tex]Unit = \$18/gallon[/tex] have the same kind of paint
Brandon
[tex]Amount = \$90[/tex]
[tex]Size= 5\ gallons[/tex]
So:
[tex]Unit = \frac{Amount}{Size}[/tex]
[tex]Unit = \frac{\$90}{5\ gallons}[/tex]
[tex]Unit = \$18/gallons[/tex]
Brandon has the same paint as Parvati because the unit prices are the same.
In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
if two rectangles have the same area what do u know abt the measures of their sides
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
6.5 / 12 = x / 24
x = 6.5 × 24 / 12
x = 6.5 × 2
x = 13
Answer:
Step-by-step explanation:
x/y=x/y
6.5/12=x/24
do cross multiplication
12x=24*6.5
x=156/12
x=13
pls help it’s a multiple answer choice
Answer:
E and A
Step-by-step explanation:
i need help please and thank you
Answer:
82.5inches.
Step-by-step explanation:
A=1/2bh
=1/2×15×11
=82.5
Answer:
82.5 in.²
Step-by-step explanation:
[tex]A=\frac{1}{2} bh[/tex]
[tex]A=\frac{1}{2}(15)(11)[/tex]
[tex]A=\frac{1}{2}(165)[/tex]
[tex]A=82.5 in.^{2}[/tex]
lots of points for a easy question the unit of measure of the____ of the conversion factor should be the unit of measure____ which you want to convert
A numerator from
b denominator from
c denominator to
d none of the above
Answer:
the unit of measure of the conversion factor should be the unit of measure__
A numerator from __ which you want to convert
Write the log equation as an exponential equation. You do not need to solve for x.
log, (2) = 2x - 1
Answer:
2 = 10^(2x-1)
Step-by-step explanation:
Imma assume the "," is 10,
So basically, it's just 2 = 10^(2x-1) I think, sorry if I'm wrong tho
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
4 more than a number is 12
Answer:
555
Step-by-step explanation:
Answer:
4 + x = 12
x = 8
Step-by-step explanation:
4 more than a number is 12
I will represent the mystery number as "x"4 + x = 12
x = 8
Convert 4 5/6 to a fraction greater than one
Answer:
29/6
Step-by-step explanation:
Mary is planning to survey a sample of women to find out how much money the average woman spent on lipstick last year. What sample size will she need, if she wants to be 95% confident that her sample mean is no more than $4 away from the population mean, and assuming a standard deviation of $20? A. 100
Answer: The required sample size = 97
Step-by-step explanation:
If prior population standard deviation is known, then the minimum sample size can be computed as:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex]
,where z* = critical z-value
[tex]\sigma[/tex] = population standard deviation
E = Margin of error
As per given,
[tex]\sigma=20,\ E= 4[/tex]
Critical value for 95% confidence = 1.96
[tex]n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97[/tex]
Hence, the required sample size = 97