Step-by-step explanation:
Answer:
23 and 15
Step-by-step explanation:
Create a system of equations where x is the greater number, and y is the smaller number.
x + y = 38
x = y + 8
Solve by substitution, by substituting the second equation into the first one, then solving for y:
x + y = 38
(y + 8) + y = 38
Add like terms and solve for y:
2y + 8 = 38
2y = 30
y = 15
Add 8 to this, to find the greater number:
15 + 8
= 23
So, the numbers are 23 and 15.
A recipe that serves 4 people uses 3 onions. How many onions are needed to serve 20 people?
Answer:
15 onions are required.
Find the volume of the following figure using unit cubes.
Answer:
64 units³Step-by-step explanation:
2 units × 4 units × 8 units = 64 units³
A survey found that 60% of highschool freshmen have Internet access at home. Of the 750 freshmen at one high school, about how many would be expected to have Internet access at home?
Answer:
450 freshman would have internet access
Answer:
450
Step-by-step explanation:
750 student is 100% of highschool freshman so
let x be how may would be expected
x/750=60%/100%
750*60=100*x
45000=100x
x=450
A recipe requires 3 cups of milk for every 4 cups of flour. Write a linear equation that describes the relationship.
Answer: [tex]y=\dfrac{3}{4}x[/tex]
Step-by-step explanation:
Given
3 cups of milk are required for 4 cups of flour
Suppose there are x cups of milk and y cups of flour
So, according to the question
[tex]\Rightarrow 3x=4y\\\\\Rightarrow y=\dfrac{3}{4}x[/tex]
The above equation represents the linear equation.
Anderson won $10000 in a Lotto competition.
He banked, then he gave his wife 60% of the remainder.
He then shared what was left between his two sons Jimmy and Prince, giving Jimmy three
times as much as Prince. Calculate Jimmy's share.
Answer:
jimmy got 30,000
Step-by-step explanation:
10,000
the wife got 60% = 60,000
jimmy got 3x prince = 30,000
prince = 10,000
Find the area of a circle with a diameter of 36 mm. Use 3.14 for
area: about
2
mm
Answer:
Area = 4073.1429 mm²
Step-by-step explanation:
Input Data :
Radius = 36 mm
Objective :
Find the area of the circle.
Solution :
Area = πr2
= 3.14 x (36)2
= 3.14 x (1296)
Area = 4073.1429 mm²
PLEASE HELP QUICK!! I need help with the first problem
Answer:
I need help too it's so hard
Can someone please explain how to go the answers for this
Answer:
A=3, B=4, C=-5
Step-by-step explanation:
So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.
Determine the component form of the vector which has a magnitude of 30 & a direction of 116 degrees.
Given :
Magnitude of vector is 30 units.
Direction of vector from x-axis is 116°.
To Find :
The component form of the vector.
Solution :
We know, vector in component form is given by :
[tex]\vec{v} = (Acos\ \theta) \hat{i} + (Asin\ \theta)\hat{j}[/tex]
Putting given values,
[tex]\vec{v} = (30\times cos\ 116^o) \hat{i} + (30\times sin\ 116^o)\hat{j}\\\\\vec{v} = -13.15 \hat{i} + 0.90 \hat{j}[/tex]
Hence, this is the required solution.
A dice is rolled. What is the probability that a 4 is rolled?
A) 1/2
B) 1/3
C) 2/3
D 1/6
This is for my high school final exam so please answer fast
Answer:
I think 1/6
Step-by-step explanation:
There are 6 sides on a dice and only one 4. So then you have a 1/6 chance of rolling 4.
hope this help!
Answer:
1/6
Step-by-step explanation:
There are 6 numbers on a die 1,2,3,4,5, and 6. If one number was picked out it would be 1/6
I need help with geometry
Answer:
B. x = 4
Step-by-step explanation:
The two triangles have two congruent sides and a congruent angle. You can say ΔBAC ≅ ΔEDF because of SAS. Corresponding parts of congruent triangles are congruent, so you can say:
BC = EF
And we can substitute their values:
6x - 1 = 23
6x = 24
x = 4
−10(9c−7c+8)−8c
pls help
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
Step-by-step explanation:
A
Devante buys 1/1/4 pounds of cashews 7 ounces of almonds and 3/4 pounds of pecans how much do the nuts weight in
Answer: [tex]39\ \text{Ounces}[/tex]
Step-by-step explanation:
Given
The amount of cashews is [tex]1\frac{1}{4}\ \text{Pounds}[/tex]
Amount of almonds [tex]7\ \text{ounces}[/tex]
The amount of pecans is [tex]\frac{3}{4}\ \text{Pounds}[/tex]
We know, [tex]1\ \text{Pound}=16\ \text{Ounces}[/tex]
Converting pounds to ounces and adding them
[tex]\Rightarrow 1\dfrac{1}{4}\times 16+7+\dfrac{3}{4}\times 16\\\\\Rightarrow \dfrac{5}{4}\times 16+7+3\times 4\\\\\Rightarrow 20+7+12=39\ \text{ounces}\ or\ \dfrac{39}{16}\ \text{Pounds}[/tex]
Thus, the nuts weigh [tex]39\ \text{Ounces}[/tex]
Can I please have some help with this I am stumped
9514 1404 393
Answer:
29 in²
Step-by-step explanation:
No need to be stumped. The dashed lines divide the figure into three recognizable forms, for which you have area formulas.
The area of a rectangle or parallelogram is given by the formula ...
A = bh . . . . . where b represents the base, and h represents the height.
__
The top part of the figure is a square. That is, it is a rectangle with its base equal to its height. In this figure, both are labeled 2 in.
A = (2 in)(2 in) = 4 in² . . . . . . area of top square
The middle part of the figure is a parallelogram. Its base is the same as the base of the rectangle below it. Its height is labeled 3 in.
A = (5 in)(3 in) = 15 in² . . . . . . area of middle parallelogram
The bottom part of the figure is a rectangle with a height of 2 in. Its base is the same length we used for the parallelogram: 5 in.
A = (5 in)(2 in) = 10 in²
The area of the figure is the sum of the areas of its parts:
figure area = 4 in² + 15 in² + 10 in² = 29 in²
The area of the figure is 29 in².
Find the value of x.
101 x +29
Answer:
x = 50
Step-by-step explanation:
101 + (x + 29) = 180
130 + x = 180
x = 180 - 130
x = 50
Answer:
50°
Step-by-step explanation:
in order ro find x you would need to solve for 101° ( x + 29) = 180° if you replace x with 50 then you equation would be true!
A parallelogram always have four right angles*
A. True
B. False
hello please help i’ll give brainliest
Answer:
C i think
Step-by-step explanation:
Once an action is caused, a reaction immediatley happens
For the following right triangle, find the side length .
Answer:
x = 25
Step-by-step explanation:
Using the formula a²+b²=c², you can easily find out the hypotenuse of the triangle (which is the long side of it, and is the x in this problem.)
If we substitute the side lengths for the question in a²+b²=c², you'll get
20²+15²=x²
Simplifying the numbers and squaring them, you get
400+225=625²
Since you want the value of the x side, you'll need to root 625.
√625=25
Therefore, x = 25
Answer:
x = 25
Step-by-step explanation:
To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.
Plug in our values for a and b and solve for x.
[tex]a^2+b^2=c^2[/tex]
[tex]20^2+15^2=c^2[/tex]
[tex]400+225=c^2[/tex]
[tex]625=c^2[/tex]
[tex]\sqrt{625}[/tex] = [tex]\sqrt{c^2}[/tex]
[tex]25=c[/tex]
c, or x is equal to 25. The missing sidelength is 25 units.
Good luck ^^
Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)
a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
b
Yes, it is a valid inference because he asked all 26 students in his science class
c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class
d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Answer: d. No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Step-by-step explanation: this i because there is a possible bias present in his population
Hope this helps!
Each Saturday, a store reduces the price of any unsold
item by 10%. If an item was priced at $80, on Saturday
of the first week it is marked down to $72. At the end of
the second week, it drops to $64.80, and at the end of
the third week the price is decreased to $58.32. If this
continues for 10 weeks, what should be the selling
price for an item that was originally priced at $80?
Answer: $27.89
Step-by-step explanation:
Since the price decreases every week by 10%, its is basically being marked down to 90% of its original value. We can construct an equation for this, where we have our original value, multiply by a modifier, and raise the modifier to a power equal to the number of weeks it is on sale. Since the original price was $80, that will be 80. Since it is 10% off, we will multiply by 0.9, and since its ten weeks, we will raise the 0.9 to the power of 10.
Thus, 80×0.9^10 = 27.89
Find X, AB, BC, and AC if ABC is equilateral.
X =
AB =
BC =
AC =
Carter's checking account had a balance
of --$12.75. He deposited a check for
$22.40 into his account. What is Carter's
account balance now?
A -$35.15
B. -$9.65
C. $9.65
D. $35.15
Answer:
A or D is tge correct awnser
simplify the expression - 1/2 (- 5/6 + 1/3)
Answer: 1/4
Step-by-step explanation:
Answer:
1/4 would be your answer.
Step-by-step explanation:
Hope this helps!, and if this Is wrong someone correct me.
1/2a - 4
Pls help
Meeeeee
Eeeeeeee
Find the circumference and area of a circle the radius is 7 meters
Answer: 43.9823
Step-by-step explanation:
The equation to find the circumference is c=2πr. By the “r” in the equation represents the radius. The question says the radius is 7 so you just input the 7 where the “r” is. So 2·π·7=43.9823.
C=2πr=2·π·7≈43.9823
help as soon as possible yo
Answer:
the answer is D. x=-7
E. x=4
PLS HELP! find the area and round to the nearest tenth
Given:
A regular hexagon with side 11.5 units and apothem 10 units.
To find:
The area round to the nearest tenth.
Solution:
Area of a regular polygon is:
[tex]A=\dfrac{1}{2}Pa[/tex] ...(i)
Where, P is the perimeter and a is the apothem.
The given figure is a regular hexagon with six sides. So, the perimeter of the given figure is the product of number of sides and the side length.
[tex]P=6\times 11.5[/tex]
[tex]P=69[/tex]
Putting [tex]P=69,a=10[/tex], we get
[tex]A=\dfrac{1}{2}(69)(10)[/tex]
[tex]A=(69)(5)[/tex]
[tex]A=345 [/tex]
Therefore, the area of the regular polygon is 345.0 square units.
hii! help asap. i’ll give brainliest thanks!
Answer:
B
Step-by-step explanation:
Answer:
It's acceleration will change
Step-by-step explanation:
The question states that only the force on the object increased, that will cause it to go alot faster than before due to the increase in force.
The sphere has a radius of 12 meters, What is the volume of the sphere
[tex]\Large{\underline{\mathcal{Given: }}}[/tex]
radius = 12m
volume = ❓
[tex]\Large{\underline{\mathcal{solution :}}}[/tex]
volume of a sphere:
☞4/3 πr³ cu.units
☞4/3 × 22/7 × 12 × 12 × 12
☞ 7214 m³